Properties

Label 690.2.w.b.37.4
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 37.4
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.b.373.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(1.06201 + 1.96778i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-0.702461 - 1.88337i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(1.06201 + 1.96778i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-0.702461 - 1.88337i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(0.0109547 - 2.23604i) q^{10} +(-1.33698 + 4.55332i) q^{11} +(0.479249 + 0.877679i) q^{12} +(0.596827 + 0.222605i) q^{13} +(-0.286068 + 1.98965i) q^{14} +(0.918920 + 2.03853i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(5.41505 - 1.17797i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(0.936443 - 0.601815i) q^{19} +(-1.08124 + 1.95728i) q^{20} +(-0.566313 - 1.92869i) q^{21} +(3.35561 - 3.35561i) q^{22} +(4.02048 + 2.61452i) q^{23} -1.00000i q^{24} +(-2.74429 + 4.17958i) q^{25} +(-0.417139 - 0.481404i) q^{26} +(0.977147 + 0.212565i) q^{27} +(1.20461 - 1.60918i) q^{28} +(2.61334 - 4.06644i) q^{29} +(0.170444 - 2.22956i) q^{30} +(-6.76992 + 7.81291i) q^{31} +(0.800541 - 0.599278i) q^{32} +(-1.65840 + 4.44634i) q^{33} +(-5.31722 - 1.56128i) q^{34} +(2.96004 - 3.38244i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-2.25509 - 3.01245i) q^{37} +(-1.11032 + 0.0794113i) q^{38} +(0.579426 + 0.264615i) q^{39} +(1.88700 - 1.19968i) q^{40} +(-0.117959 - 0.820422i) q^{41} +(-0.427280 + 1.96417i) q^{42} +(-0.750245 + 10.4898i) q^{43} +(-4.55332 + 1.33698i) q^{44} +(0.771152 + 2.09889i) q^{45} +(-2.27569 - 4.22152i) q^{46} +(9.45887 + 9.45887i) q^{47} +(-0.479249 + 0.877679i) q^{48} +(2.23661 - 1.93803i) q^{49} +(4.41166 - 2.35313i) q^{50} +(5.48529 - 0.788666i) q^{51} +(0.135402 + 0.622432i) q^{52} +(-8.25215 + 3.07789i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(-10.3798 + 2.20478i) q^{55} +(-1.82846 + 0.835030i) q^{56} +(0.976990 - 0.533477i) q^{57} +(-4.24252 + 2.31659i) q^{58} +(0.602627 - 0.275211i) q^{59} +(-1.21811 + 1.87515i) q^{60} +(-0.0336939 - 0.0291959i) q^{61} +(9.68615 - 3.61275i) q^{62} +(-0.427280 - 1.96417i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(0.195797 + 1.41083i) q^{65} +(3.58645 - 3.10767i) q^{66} +(6.80610 - 12.4644i) q^{67} +(3.91857 + 3.91857i) q^{68} +(3.82372 + 2.89468i) q^{69} +(-4.21899 + 1.55010i) q^{70} +(5.99303 - 1.75971i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(3.10030 - 14.2518i) q^{73} +(0.535533 + 3.72472i) q^{74} +(-3.03546 + 3.97316i) q^{75} +(1.01256 + 0.462420i) q^{76} +(9.51477 - 0.680510i) q^{77} +(-0.381734 - 0.509936i) q^{78} +(-2.40182 - 5.25926i) q^{79} +(-2.23113 + 0.148591i) q^{80} +(0.959493 + 0.281733i) q^{81} +(-0.289656 + 0.776598i) q^{82} +(5.71994 - 4.28190i) q^{83} +(1.31634 - 1.51914i) q^{84} +(8.06880 + 9.40460i) q^{85} +(5.68570 - 8.84712i) q^{86} +(2.89678 - 3.86965i) q^{87} +(4.63710 + 1.00874i) q^{88} +(-5.13014 - 5.92050i) q^{89} +(0.329065 - 2.21172i) q^{90} -1.28042i q^{91} +(-0.0258364 + 4.79576i) q^{92} +(-7.31004 + 7.31004i) q^{93} +(-3.76870 - 12.8350i) q^{94} +(2.17875 + 1.20358i) q^{95} +(0.841254 - 0.540641i) q^{96} +(-8.04785 - 6.02455i) q^{97} +(-2.89182 + 0.629078i) q^{98} +(-1.97137 + 4.31670i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) 0.997452 + 0.0713392i 0.575879 + 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) 1.06201 + 1.96778i 0.474943 + 0.880016i
\(6\) −0.841254 0.540641i −0.343440 0.220716i
\(7\) −0.702461 1.88337i −0.265505 0.711848i −0.999467 0.0326563i \(-0.989603\pi\)
0.733961 0.679191i \(-0.237669\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) 0.0109547 2.23604i 0.00346418 0.707098i
\(11\) −1.33698 + 4.55332i −0.403113 + 1.37288i 0.468838 + 0.883284i \(0.344673\pi\)
−0.871951 + 0.489593i \(0.837145\pi\)
\(12\) 0.479249 + 0.877679i 0.138347 + 0.253364i
\(13\) 0.596827 + 0.222605i 0.165530 + 0.0617395i 0.430863 0.902417i \(-0.358209\pi\)
−0.265333 + 0.964157i \(0.585482\pi\)
\(14\) −0.286068 + 1.98965i −0.0764550 + 0.531756i
\(15\) 0.918920 + 2.03853i 0.237264 + 0.526345i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) 5.41505 1.17797i 1.31334 0.285700i 0.499262 0.866451i \(-0.333605\pi\)
0.814081 + 0.580751i \(0.197241\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) 0.936443 0.601815i 0.214835 0.138066i −0.428798 0.903400i \(-0.641063\pi\)
0.643633 + 0.765335i \(0.277426\pi\)
\(20\) −1.08124 + 1.95728i −0.241772 + 0.437660i
\(21\) −0.566313 1.92869i −0.123580 0.420874i
\(22\) 3.35561 3.35561i 0.715418 0.715418i
\(23\) 4.02048 + 2.61452i 0.838329 + 0.545165i
\(24\) 1.00000i 0.204124i
\(25\) −2.74429 + 4.17958i −0.548858 + 0.835916i
\(26\) −0.417139 0.481404i −0.0818078 0.0944112i
\(27\) 0.977147 + 0.212565i 0.188052 + 0.0409082i
\(28\) 1.20461 1.60918i 0.227651 0.304106i
\(29\) 2.61334 4.06644i 0.485286 0.755119i −0.509126 0.860692i \(-0.670031\pi\)
0.994412 + 0.105573i \(0.0336676\pi\)
\(30\) 0.170444 2.22956i 0.0311187 0.407061i
\(31\) −6.76992 + 7.81291i −1.21591 + 1.40324i −0.327089 + 0.944994i \(0.606068\pi\)
−0.888825 + 0.458246i \(0.848478\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) −1.65840 + 4.44634i −0.288690 + 0.774008i
\(34\) −5.31722 1.56128i −0.911895 0.267757i
\(35\) 2.96004 3.38244i 0.500338 0.571737i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) −2.25509 3.01245i −0.370735 0.495244i 0.575914 0.817510i \(-0.304646\pi\)
−0.946649 + 0.322266i \(0.895555\pi\)
\(38\) −1.11032 + 0.0794113i −0.180117 + 0.0128822i
\(39\) 0.579426 + 0.264615i 0.0927824 + 0.0423723i
\(40\) 1.88700 1.19968i 0.298361 0.189686i
\(41\) −0.117959 0.820422i −0.0184221 0.128128i 0.978535 0.206081i \(-0.0660709\pi\)
−0.996957 + 0.0779523i \(0.975162\pi\)
\(42\) −0.427280 + 1.96417i −0.0659307 + 0.303078i
\(43\) −0.750245 + 10.4898i −0.114411 + 1.59968i 0.538754 + 0.842463i \(0.318895\pi\)
−0.653165 + 0.757216i \(0.726559\pi\)
\(44\) −4.55332 + 1.33698i −0.686439 + 0.201557i
\(45\) 0.771152 + 2.09889i 0.114957 + 0.312884i
\(46\) −2.27569 4.22152i −0.335532 0.622429i
\(47\) 9.45887 + 9.45887i 1.37972 + 1.37972i 0.845083 + 0.534635i \(0.179551\pi\)
0.534635 + 0.845083i \(0.320449\pi\)
\(48\) −0.479249 + 0.877679i −0.0691736 + 0.126682i
\(49\) 2.23661 1.93803i 0.319516 0.276862i
\(50\) 4.41166 2.35313i 0.623903 0.332783i
\(51\) 5.48529 0.788666i 0.768094 0.110435i
\(52\) 0.135402 + 0.622432i 0.0187769 + 0.0863158i
\(53\) −8.25215 + 3.07789i −1.13352 + 0.422781i −0.845039 0.534704i \(-0.820423\pi\)
−0.288481 + 0.957486i \(0.593150\pi\)
\(54\) −0.755750 0.654861i −0.102844 0.0891153i
\(55\) −10.3798 + 2.20478i −1.39961 + 0.297293i
\(56\) −1.82846 + 0.835030i −0.244338 + 0.111586i
\(57\) 0.976990 0.533477i 0.129405 0.0706607i
\(58\) −4.24252 + 2.31659i −0.557070 + 0.304183i
\(59\) 0.602627 0.275211i 0.0784554 0.0358294i −0.375801 0.926700i \(-0.622632\pi\)
0.454256 + 0.890871i \(0.349905\pi\)
\(60\) −1.21811 + 1.87515i −0.157257 + 0.242081i
\(61\) −0.0336939 0.0291959i −0.00431406 0.00373815i 0.652701 0.757616i \(-0.273636\pi\)
−0.657015 + 0.753877i \(0.728181\pi\)
\(62\) 9.68615 3.61275i 1.23014 0.458819i
\(63\) −0.427280 1.96417i −0.0538322 0.247463i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) 0.195797 + 1.41083i 0.0242856 + 0.174992i
\(66\) 3.58645 3.10767i 0.441461 0.382528i
\(67\) 6.80610 12.4644i 0.831497 1.52277i −0.0208408 0.999783i \(-0.506634\pi\)
0.852338 0.522991i \(-0.175184\pi\)
\(68\) 3.91857 + 3.91857i 0.475196 + 0.475196i
\(69\) 3.82372 + 2.89468i 0.460322 + 0.348478i
\(70\) −4.21899 + 1.55010i −0.504266 + 0.185273i
\(71\) 5.99303 1.75971i 0.711242 0.208840i 0.0939539 0.995577i \(-0.470049\pi\)
0.617288 + 0.786737i \(0.288231\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) 3.10030 14.2518i 0.362862 1.66805i −0.327703 0.944781i \(-0.606274\pi\)
0.690565 0.723270i \(-0.257362\pi\)
\(74\) 0.535533 + 3.72472i 0.0622545 + 0.432989i
\(75\) −3.03546 + 3.97316i −0.350505 + 0.458780i
\(76\) 1.01256 + 0.462420i 0.116148 + 0.0530432i
\(77\) 9.51477 0.680510i 1.08431 0.0775513i
\(78\) −0.381734 0.509936i −0.0432228 0.0577389i
\(79\) −2.40182 5.25926i −0.270226 0.591713i 0.725061 0.688685i \(-0.241812\pi\)
−0.995287 + 0.0969720i \(0.969084\pi\)
\(80\) −2.23113 + 0.148591i −0.249447 + 0.0166129i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) −0.289656 + 0.776598i −0.0319872 + 0.0857609i
\(83\) 5.71994 4.28190i 0.627845 0.469999i −0.237357 0.971423i \(-0.576281\pi\)
0.865202 + 0.501423i \(0.167190\pi\)
\(84\) 1.31634 1.51914i 0.143625 0.165752i
\(85\) 8.06880 + 9.40460i 0.875184 + 1.02007i
\(86\) 5.68570 8.84712i 0.613105 0.954010i
\(87\) 2.89678 3.86965i 0.310568 0.414870i
\(88\) 4.63710 + 1.00874i 0.494316 + 0.107532i
\(89\) −5.13014 5.92050i −0.543794 0.627572i 0.415632 0.909533i \(-0.363561\pi\)
−0.959426 + 0.281961i \(0.909015\pi\)
\(90\) 0.329065 2.21172i 0.0346865 0.233136i
\(91\) 1.28042i 0.134224i
\(92\) −0.0258364 + 4.79576i −0.00269363 + 0.499993i
\(93\) −7.31004 + 7.31004i −0.758016 + 0.758016i
\(94\) −3.76870 12.8350i −0.388712 1.32383i
\(95\) 2.17875 + 1.20358i 0.223535 + 0.123485i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) −8.04785 6.02455i −0.817136 0.611700i 0.106786 0.994282i \(-0.465944\pi\)
−0.923922 + 0.382582i \(0.875035\pi\)
\(98\) −2.89182 + 0.629078i −0.292118 + 0.0635465i
\(99\) −1.97137 + 4.31670i −0.198130 + 0.433845i
\(100\) −4.99976 0.0489904i −0.499976 0.00489904i
\(101\) 0.269810 1.87657i 0.0268471 0.186726i −0.971985 0.235043i \(-0.924477\pi\)
0.998832 + 0.0483176i \(0.0153860\pi\)
\(102\) −5.19229 1.93662i −0.514113 0.191754i
\(103\) 4.99269 + 9.14342i 0.491944 + 0.900928i 0.999233 + 0.0391523i \(0.0124658\pi\)
−0.507289 + 0.861776i \(0.669352\pi\)
\(104\) 0.179461 0.611187i 0.0175976 0.0599318i
\(105\) 3.19380 3.16265i 0.311683 0.308643i
\(106\) 8.71782 + 1.25343i 0.846749 + 0.121744i
\(107\) 1.21349 + 16.9668i 0.117313 + 1.64024i 0.626380 + 0.779518i \(0.284536\pi\)
−0.509067 + 0.860727i \(0.670010\pi\)
\(108\) 0.349464 + 0.936950i 0.0336272 + 0.0901580i
\(109\) −3.47494 2.23321i −0.332839 0.213902i 0.363537 0.931580i \(-0.381569\pi\)
−0.696376 + 0.717677i \(0.745205\pi\)
\(110\) 10.1668 + 3.03941i 0.969363 + 0.289797i
\(111\) −2.03444 3.16565i −0.193101 0.300470i
\(112\) 2.00499 + 0.143400i 0.189454 + 0.0135500i
\(113\) −3.13629 1.71254i −0.295037 0.161102i 0.324913 0.945744i \(-0.394665\pi\)
−0.619950 + 0.784642i \(0.712847\pi\)
\(114\) −1.11315 −0.104256
\(115\) −0.875013 + 10.6880i −0.0815954 + 0.996666i
\(116\) 4.83379 0.448806
\(117\) 0.559072 + 0.305277i 0.0516862 + 0.0282228i
\(118\) −0.660808 0.0472619i −0.0608323 0.00435081i
\(119\) −6.02242 9.37108i −0.552075 0.859045i
\(120\) 1.96778 1.06201i 0.179633 0.0969474i
\(121\) −9.69143 6.22831i −0.881039 0.566210i
\(122\) 0.0155803 + 0.0417724i 0.00141057 + 0.00378189i
\(123\) −0.0591301 0.826746i −0.00533158 0.0745452i
\(124\) −10.2327 1.47125i −0.918927 0.132122i
\(125\) −11.1389 0.961407i −0.996296 0.0859908i
\(126\) −0.566313 + 1.92869i −0.0504512 + 0.171821i
\(127\) −4.13794 7.57808i −0.367183 0.672446i 0.627133 0.778912i \(-0.284228\pi\)
−0.994316 + 0.106466i \(0.966046\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) −1.49667 + 10.4095i −0.131774 + 0.916510i
\(130\) 0.504292 1.33209i 0.0442293 0.116832i
\(131\) −5.11100 + 11.1915i −0.446550 + 0.977808i 0.543800 + 0.839215i \(0.316985\pi\)
−0.990349 + 0.138593i \(0.955742\pi\)
\(132\) −4.63710 + 1.00874i −0.403608 + 0.0877994i
\(133\) −1.79126 1.34092i −0.155322 0.116272i
\(134\) −11.9471 + 7.67796i −1.03208 + 0.663275i
\(135\) 0.619455 + 2.14855i 0.0533142 + 0.184918i
\(136\) −1.56128 5.31722i −0.133878 0.455948i
\(137\) 2.08249 2.08249i 0.177919 0.177919i −0.612529 0.790448i \(-0.709848\pi\)
0.790448 + 0.612529i \(0.209848\pi\)
\(138\) −1.96873 4.37311i −0.167589 0.372264i
\(139\) 2.91727i 0.247439i 0.992317 + 0.123720i \(0.0394824\pi\)
−0.992317 + 0.123720i \(0.960518\pi\)
\(140\) 4.44581 + 0.661457i 0.375739 + 0.0559033i
\(141\) 8.75998 + 10.1096i 0.737724 + 0.851378i
\(142\) −6.10330 1.32769i −0.512178 0.111417i
\(143\) −1.81153 + 2.41993i −0.151488 + 0.202364i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) 10.7772 + 0.823891i 0.895001 + 0.0684204i
\(146\) −9.55124 + 11.0227i −0.790467 + 0.912247i
\(147\) 2.36917 1.77354i 0.195406 0.146279i
\(148\) 1.31504 3.52576i 0.108096 0.289816i
\(149\) −4.89606 1.43761i −0.401101 0.117774i 0.0749592 0.997187i \(-0.476117\pi\)
−0.476060 + 0.879413i \(0.657936\pi\)
\(150\) 4.56829 2.03241i 0.373000 0.165946i
\(151\) −8.37239 18.3330i −0.681336 1.49192i −0.861222 0.508230i \(-0.830300\pi\)
0.179886 0.983687i \(-0.442427\pi\)
\(152\) −0.667087 0.891124i −0.0541079 0.0722797i
\(153\) 5.52758 0.395340i 0.446878 0.0319613i
\(154\) −8.67705 3.96267i −0.699216 0.319321i
\(155\) −22.5638 5.02434i −1.81236 0.403565i
\(156\) 0.0906530 + 0.630506i 0.00725805 + 0.0504809i
\(157\) −2.09074 + 9.61097i −0.166859 + 0.767039i 0.815308 + 0.579028i \(0.196568\pi\)
−0.982167 + 0.188011i \(0.939796\pi\)
\(158\) −0.412465 + 5.76701i −0.0328139 + 0.458799i
\(159\) −8.45070 + 2.48135i −0.670184 + 0.196784i
\(160\) 2.02942 + 0.938850i 0.160440 + 0.0742226i
\(161\) 2.09988 9.40867i 0.165494 0.741507i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 7.75249 14.1976i 0.607222 1.11204i −0.375477 0.926832i \(-0.622521\pi\)
0.982699 0.185212i \(-0.0592971\pi\)
\(164\) 0.626409 0.542787i 0.0489143 0.0423845i
\(165\) −10.5106 + 1.45868i −0.818252 + 0.113558i
\(166\) −7.07237 + 1.01685i −0.548922 + 0.0789231i
\(167\) −5.20304 23.9180i −0.402623 1.85083i −0.515036 0.857168i \(-0.672221\pi\)
0.112413 0.993662i \(-0.464142\pi\)
\(168\) −1.88337 + 0.702461i −0.145305 + 0.0541961i
\(169\) −9.51809 8.24748i −0.732161 0.634421i
\(170\) −2.57467 12.1212i −0.197468 0.929652i
\(171\) 1.01256 0.462420i 0.0774323 0.0353621i
\(172\) −9.23019 + 5.04007i −0.703796 + 0.384301i
\(173\) 7.96720 4.35042i 0.605735 0.330756i −0.146943 0.989145i \(-0.546943\pi\)
0.752678 + 0.658389i \(0.228762\pi\)
\(174\) −4.39697 + 2.00803i −0.333333 + 0.152228i
\(175\) 9.79946 + 2.23252i 0.740770 + 0.168763i
\(176\) −3.58645 3.10767i −0.270339 0.234250i
\(177\) 0.620725 0.231518i 0.0466565 0.0174020i
\(178\) 1.66523 + 7.65492i 0.124814 + 0.573760i
\(179\) −9.62962 + 1.38453i −0.719751 + 0.103485i −0.492451 0.870340i \(-0.663899\pi\)
−0.227300 + 0.973825i \(0.572990\pi\)
\(180\) −1.34878 + 1.78348i −0.100532 + 0.132933i
\(181\) −7.53837 + 6.53203i −0.560322 + 0.485522i −0.888363 0.459142i \(-0.848157\pi\)
0.328041 + 0.944664i \(0.393612\pi\)
\(182\) −0.613639 + 1.12380i −0.0454860 + 0.0833014i
\(183\) −0.0315252 0.0315252i −0.00233041 0.00233041i
\(184\) 2.32104 4.19676i 0.171109 0.309389i
\(185\) 3.53291 7.63676i 0.259745 0.561466i
\(186\) 9.91920 2.91254i 0.727311 0.213558i
\(187\) −1.87611 + 26.2314i −0.137194 + 1.91823i
\(188\) −2.84346 + 13.0712i −0.207380 + 0.953312i
\(189\) −0.286068 1.98965i −0.0208084 0.144726i
\(190\) −1.33542 2.10052i −0.0968819 0.152388i
\(191\) −19.2920 8.81038i −1.39592 0.637497i −0.431562 0.902083i \(-0.642037\pi\)
−0.964362 + 0.264587i \(0.914765\pi\)
\(192\) −0.997452 + 0.0713392i −0.0719849 + 0.00514846i
\(193\) 0.171593 + 0.229222i 0.0123515 + 0.0164997i 0.806675 0.590996i \(-0.201265\pi\)
−0.794323 + 0.607496i \(0.792174\pi\)
\(194\) 4.17617 + 9.14455i 0.299832 + 0.656540i
\(195\) 0.0946506 + 1.42120i 0.00677807 + 0.101774i
\(196\) 2.83958 + 0.833775i 0.202827 + 0.0595554i
\(197\) 7.79011 20.8861i 0.555023 1.48807i −0.291948 0.956434i \(-0.594303\pi\)
0.846971 0.531639i \(-0.178424\pi\)
\(198\) 3.79901 2.84390i 0.269984 0.202107i
\(199\) −3.15315 + 3.63893i −0.223521 + 0.257957i −0.856423 0.516275i \(-0.827318\pi\)
0.632902 + 0.774232i \(0.281864\pi\)
\(200\) 4.36471 + 2.43913i 0.308631 + 0.172472i
\(201\) 7.67796 11.9471i 0.541562 0.842686i
\(202\) −1.13615 + 1.51772i −0.0799392 + 0.106786i
\(203\) −9.49440 2.06538i −0.666376 0.144961i
\(204\) 3.62904 + 4.18813i 0.254084 + 0.293228i
\(205\) 1.48913 1.10341i 0.104006 0.0770654i
\(206\) 10.4177i 0.725838i
\(207\) 3.60748 + 3.16008i 0.250737 + 0.219641i
\(208\) −0.450420 + 0.450420i −0.0312310 + 0.0312310i
\(209\) 1.48826 + 5.06854i 0.102945 + 0.350598i
\(210\) −4.31883 + 1.24517i −0.298027 + 0.0859250i
\(211\) 12.1215 7.79002i 0.834479 0.536287i −0.0522193 0.998636i \(-0.516629\pi\)
0.886698 + 0.462349i \(0.152993\pi\)
\(212\) −7.05074 5.27812i −0.484247 0.362503i
\(213\) 6.10330 1.32769i 0.418191 0.0909719i
\(214\) 7.06628 15.4730i 0.483041 1.05771i
\(215\) −21.4383 + 9.66391i −1.46208 + 0.659073i
\(216\) 0.142315 0.989821i 0.00968330 0.0673488i
\(217\) 19.4702 + 7.26202i 1.32173 + 0.492978i
\(218\) 1.97962 + 3.62540i 0.134077 + 0.245543i
\(219\) 4.10911 13.9944i 0.277668 0.945651i
\(220\) −7.46652 7.54004i −0.503393 0.508349i
\(221\) 3.49407 + 0.502372i 0.235037 + 0.0337932i
\(222\) 0.268451 + 3.75343i 0.0180172 + 0.251914i
\(223\) −9.35069 25.0702i −0.626168 1.67882i −0.729334 0.684158i \(-0.760170\pi\)
0.103166 0.994664i \(-0.467103\pi\)
\(224\) −1.69101 1.08675i −0.112986 0.0726114i
\(225\) −3.31117 + 3.74648i −0.220745 + 0.249766i
\(226\) 1.93192 + 3.00612i 0.128509 + 0.199964i
\(227\) 8.95513 + 0.640484i 0.594373 + 0.0425104i 0.365286 0.930895i \(-0.380971\pi\)
0.229087 + 0.973406i \(0.426426\pi\)
\(228\) 0.976990 + 0.533477i 0.0647027 + 0.0353304i
\(229\) 5.87869 0.388475 0.194237 0.980955i \(-0.437777\pi\)
0.194237 + 0.980955i \(0.437777\pi\)
\(230\) 5.89022 8.96133i 0.388389 0.590892i
\(231\) 9.53907 0.627625
\(232\) −4.24252 2.31659i −0.278535 0.152091i
\(233\) 1.30300 + 0.0931925i 0.0853625 + 0.00610524i 0.113955 0.993486i \(-0.463648\pi\)
−0.0285926 + 0.999591i \(0.509103\pi\)
\(234\) −0.344382 0.535870i −0.0225130 0.0350309i
\(235\) −8.56757 + 28.6583i −0.558886 + 1.86946i
\(236\) 0.557327 + 0.358172i 0.0362789 + 0.0233150i
\(237\) −2.02051 5.41720i −0.131246 0.351885i
\(238\) 0.794677 + 11.1110i 0.0515113 + 0.720222i
\(239\) −19.3952 2.78861i −1.25457 0.180380i −0.517197 0.855866i \(-0.673025\pi\)
−0.737372 + 0.675486i \(0.763934\pi\)
\(240\) −2.23604 0.0109547i −0.144336 0.000707123i
\(241\) 2.32917 7.93244i 0.150035 0.510973i −0.849836 0.527048i \(-0.823299\pi\)
0.999871 + 0.0160748i \(0.00511698\pi\)
\(242\) 5.52106 + 10.1111i 0.354907 + 0.649964i
\(243\) 0.936950 + 0.349464i 0.0601054 + 0.0224181i
\(244\) 0.00634487 0.0441296i 0.000406189 0.00282511i
\(245\) 6.18891 + 2.34294i 0.395395 + 0.149685i
\(246\) −0.344320 + 0.753956i −0.0219530 + 0.0480705i
\(247\) 0.692861 0.150723i 0.0440857 0.00959026i
\(248\) 8.27596 + 6.19531i 0.525524 + 0.393402i
\(249\) 6.01084 3.86293i 0.380921 0.244803i
\(250\) 9.31565 + 6.18213i 0.589173 + 0.390992i
\(251\) 3.54466 + 12.0720i 0.223737 + 0.761978i 0.992479 + 0.122418i \(0.0390650\pi\)
−0.768742 + 0.639559i \(0.779117\pi\)
\(252\) 1.42136 1.42136i 0.0895374 0.0895374i
\(253\) −17.2800 + 14.8110i −1.08639 + 0.931160i
\(254\) 8.63423i 0.541760i
\(255\) 7.37733 + 9.95626i 0.461986 + 0.623485i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 13.4462 + 2.92503i 0.838748 + 0.182459i 0.611367 0.791347i \(-0.290620\pi\)
0.227381 + 0.973806i \(0.426984\pi\)
\(258\) 6.30236 8.41897i 0.392368 0.524142i
\(259\) −4.08945 + 6.36331i −0.254106 + 0.395397i
\(260\) −1.08101 + 0.927467i −0.0670414 + 0.0575191i
\(261\) 3.16546 3.65313i 0.195937 0.226123i
\(262\) 9.84934 7.37312i 0.608494 0.455513i
\(263\) −7.91950 + 21.2330i −0.488337 + 1.30928i 0.426144 + 0.904655i \(0.359872\pi\)
−0.914481 + 0.404628i \(0.867401\pi\)
\(264\) 4.55332 + 1.33698i 0.280237 + 0.0822852i
\(265\) −14.8204 12.9696i −0.910412 0.796719i
\(266\) 0.929515 + 2.03535i 0.0569922 + 0.124796i
\(267\) −4.69471 6.27140i −0.287312 0.383803i
\(268\) 14.1654 1.01313i 0.865290 0.0618868i
\(269\) −11.2574 5.14109i −0.686377 0.313458i 0.0415265 0.999137i \(-0.486778\pi\)
−0.727904 + 0.685679i \(0.759505\pi\)
\(270\) 0.486009 2.18261i 0.0295776 0.132830i
\(271\) 1.44080 + 10.0210i 0.0875221 + 0.608730i 0.985625 + 0.168945i \(0.0540361\pi\)
−0.898103 + 0.439785i \(0.855055\pi\)
\(272\) −1.17797 + 5.41505i −0.0714251 + 0.328336i
\(273\) 0.0913440 1.27716i 0.00552839 0.0772970i
\(274\) −2.82579 + 0.829727i −0.170712 + 0.0501256i
\(275\) −15.3619 18.0836i −0.926359 1.09048i
\(276\) −0.367896 + 4.78170i −0.0221448 + 0.287825i
\(277\) −8.51502 8.51502i −0.511618 0.511618i 0.403404 0.915022i \(-0.367827\pi\)
−0.915022 + 0.403404i \(0.867827\pi\)
\(278\) 1.39810 2.56043i 0.0838523 0.153564i
\(279\) −7.81291 + 6.76992i −0.467747 + 0.405305i
\(280\) −3.58499 2.71119i −0.214244 0.162025i
\(281\) 13.5372 1.94635i 0.807560 0.116110i 0.273845 0.961774i \(-0.411705\pi\)
0.533715 + 0.845664i \(0.320796\pi\)
\(282\) −2.84346 13.0712i −0.169325 0.778376i
\(283\) 17.6229 6.57299i 1.04757 0.390724i 0.234029 0.972230i \(-0.424809\pi\)
0.813542 + 0.581506i \(0.197536\pi\)
\(284\) 4.72044 + 4.09029i 0.280107 + 0.242714i
\(285\) 2.08733 + 1.35594i 0.123643 + 0.0803191i
\(286\) 2.74969 1.25574i 0.162593 0.0742536i
\(287\) −1.46230 + 0.798475i −0.0863167 + 0.0471325i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) 12.4714 5.69550i 0.733612 0.335030i
\(290\) −9.06410 5.88809i −0.532263 0.345761i
\(291\) −7.59756 6.58333i −0.445377 0.385921i
\(292\) 13.6656 5.09699i 0.799716 0.298279i
\(293\) 2.27658 + 10.4653i 0.132999 + 0.611388i 0.994598 + 0.103799i \(0.0330998\pi\)
−0.861599 + 0.507590i \(0.830537\pi\)
\(294\) −2.92933 + 0.421175i −0.170842 + 0.0245634i
\(295\) 1.18155 + 0.893560i 0.0687923 + 0.0520251i
\(296\) −2.84390 + 2.46425i −0.165298 + 0.143232i
\(297\) −2.27430 + 4.16507i −0.131968 + 0.241682i
\(298\) 3.60819 + 3.60819i 0.209017 + 0.209017i
\(299\) 1.81753 + 2.45540i 0.105110 + 0.141999i
\(300\) −4.98353 0.405544i −0.287724 0.0234141i
\(301\) 20.2832 5.95569i 1.16910 0.343280i
\(302\) −1.43779 + 20.1029i −0.0827355 + 1.15679i
\(303\) 0.402995 1.85254i 0.0231515 0.106426i
\(304\) 0.158418 + 1.10182i 0.00908589 + 0.0631938i
\(305\) 0.0216679 0.0973082i 0.00124070 0.00557185i
\(306\) −5.04090 2.30210i −0.288169 0.131603i
\(307\) −7.73818 + 0.553445i −0.441641 + 0.0315868i −0.290390 0.956908i \(-0.593785\pi\)
−0.151252 + 0.988495i \(0.548330\pi\)
\(308\) 5.71655 + 7.63642i 0.325731 + 0.435126i
\(309\) 4.32768 + 9.47630i 0.246193 + 0.539088i
\(310\) 17.3958 + 15.2234i 0.988016 + 0.864632i
\(311\) 9.80835 + 2.87999i 0.556181 + 0.163309i 0.547730 0.836655i \(-0.315492\pi\)
0.00845034 + 0.999964i \(0.497310\pi\)
\(312\) 0.222605 0.596827i 0.0126025 0.0337887i
\(313\) 6.80047 5.09077i 0.384385 0.287747i −0.389558 0.921002i \(-0.627372\pi\)
0.773944 + 0.633255i \(0.218281\pi\)
\(314\) 6.44105 7.43336i 0.363489 0.419489i
\(315\) 3.41128 2.92675i 0.192204 0.164904i
\(316\) 3.12585 4.86391i 0.175843 0.273616i
\(317\) −10.8663 + 14.5157i −0.610313 + 0.815283i −0.994137 0.108123i \(-0.965516\pi\)
0.383824 + 0.923406i \(0.374607\pi\)
\(318\) 8.60619 + 1.87216i 0.482611 + 0.104986i
\(319\) 15.0218 + 17.3361i 0.841061 + 0.970637i
\(320\) −1.33124 1.79661i −0.0744186 0.100433i
\(321\) 17.0102i 0.949415i
\(322\) −6.35211 + 7.25142i −0.353989 + 0.404106i
\(323\) 4.36196 4.36196i 0.242706 0.242706i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) −2.56826 + 1.88359i −0.142461 + 0.104483i
\(326\) −13.6084 + 8.74558i −0.753699 + 0.484373i
\(327\) −3.30677 2.47542i −0.182865 0.136891i
\(328\) −0.809916 + 0.176186i −0.0447201 + 0.00972827i
\(329\) 11.1701 24.4591i 0.615827 1.34847i
\(330\) 9.92403 + 3.75696i 0.546300 + 0.206814i
\(331\) −1.46380 + 10.1809i −0.0804576 + 0.559595i 0.909224 + 0.416308i \(0.136676\pi\)
−0.989681 + 0.143287i \(0.954233\pi\)
\(332\) 6.69459 + 2.49695i 0.367414 + 0.137038i
\(333\) −1.80342 3.30272i −0.0988269 0.180988i
\(334\) −6.89608 + 23.4859i −0.377336 + 1.28509i
\(335\) 31.7553 + 0.155574i 1.73498 + 0.00849993i
\(336\) 1.98965 + 0.286068i 0.108544 + 0.0156063i
\(337\) 0.163916 + 2.29184i 0.00892905 + 0.124844i 0.999961 0.00877714i \(-0.00279389\pi\)
−0.991032 + 0.133622i \(0.957339\pi\)
\(338\) 4.40124 + 11.8002i 0.239396 + 0.641845i
\(339\) −3.00612 1.93192i −0.163270 0.104927i
\(340\) −3.54933 + 11.8724i −0.192489 + 0.643872i
\(341\) −26.5235 41.2713i −1.43633 2.23497i
\(342\) −1.11032 0.0794113i −0.0600390 0.00429407i
\(343\) −17.5708 9.59438i −0.948733 0.518048i
\(344\) 10.5166 0.567017
\(345\) −1.63526 + 10.5984i −0.0880395 + 0.570598i
\(346\) −9.07758 −0.488014
\(347\) −5.09505 2.78211i −0.273517 0.149351i 0.336637 0.941635i \(-0.390710\pi\)
−0.610154 + 0.792283i \(0.708892\pi\)
\(348\) 4.82147 + 0.344839i 0.258458 + 0.0184853i
\(349\) 11.0874 + 17.2524i 0.593496 + 0.923498i 0.999952 + 0.00982758i \(0.00312827\pi\)
−0.406455 + 0.913671i \(0.633235\pi\)
\(350\) −7.53085 6.65582i −0.402541 0.355768i
\(351\) 0.535870 + 0.344382i 0.0286026 + 0.0183818i
\(352\) 1.65840 + 4.44634i 0.0883930 + 0.236991i
\(353\) −0.0389063 0.543981i −0.00207077 0.0289532i 0.996312 0.0858083i \(-0.0273473\pi\)
−0.998382 + 0.0568551i \(0.981893\pi\)
\(354\) −0.655752 0.0942829i −0.0348528 0.00501108i
\(355\) 9.82736 + 9.92412i 0.521582 + 0.526718i
\(356\) 2.20708 7.51662i 0.116975 0.398380i
\(357\) −5.33856 9.77683i −0.282546 0.517445i
\(358\) 9.11525 + 3.39981i 0.481756 + 0.179686i
\(359\) −1.86676 + 12.9836i −0.0985237 + 0.685247i 0.879369 + 0.476141i \(0.157965\pi\)
−0.977893 + 0.209107i \(0.932944\pi\)
\(360\) 2.03853 0.918920i 0.107440 0.0484314i
\(361\) −7.37814 + 16.1559i −0.388323 + 0.850309i
\(362\) 9.74673 2.12027i 0.512277 0.111439i
\(363\) −9.22242 6.90382i −0.484051 0.362356i
\(364\) 1.07716 0.692247i 0.0564584 0.0362836i
\(365\) 31.3370 9.03484i 1.64025 0.472905i
\(366\) 0.0125606 + 0.0427774i 0.000656552 + 0.00223601i
\(367\) 19.5724 19.5724i 1.02167 1.02167i 0.0219136 0.999760i \(-0.493024\pi\)
0.999760 0.0219136i \(-0.00697588\pi\)
\(368\) −4.04842 + 2.57105i −0.211038 + 0.134025i
\(369\) 0.828858i 0.0431486i
\(370\) −6.76067 + 5.00948i −0.351470 + 0.260430i
\(371\) 11.5936 + 13.3798i 0.601912 + 0.694643i
\(372\) −10.1017 2.19749i −0.523749 0.113935i
\(373\) 0.377831 0.504723i 0.0195634 0.0261336i −0.790653 0.612265i \(-0.790259\pi\)
0.810216 + 0.586131i \(0.199350\pi\)
\(374\) 14.2180 22.1236i 0.735194 1.14398i
\(375\) −11.0420 1.75360i −0.570204 0.0905555i
\(376\) 8.75998 10.1096i 0.451762 0.521361i
\(377\) 2.46492 1.84522i 0.126950 0.0950336i
\(378\) −0.702461 + 1.88337i −0.0361307 + 0.0968702i
\(379\) −1.18112 0.346808i −0.0606700 0.0178143i 0.251257 0.967920i \(-0.419156\pi\)
−0.311927 + 0.950106i \(0.600974\pi\)
\(380\) 0.165404 + 2.48358i 0.00848504 + 0.127405i
\(381\) −3.58679 7.85397i −0.183757 0.402371i
\(382\) 12.7099 + 16.9784i 0.650293 + 0.868690i
\(383\) −25.0665 + 1.79279i −1.28084 + 0.0916073i −0.695112 0.718902i \(-0.744645\pi\)
−0.585726 + 0.810509i \(0.699191\pi\)
\(384\) 0.909632 + 0.415415i 0.0464195 + 0.0211991i
\(385\) 11.4438 + 18.0002i 0.583232 + 0.917377i
\(386\) −0.0407495 0.283419i −0.00207409 0.0144256i
\(387\) −2.23546 + 10.2763i −0.113635 + 0.522371i
\(388\) 0.717174 10.0274i 0.0364090 0.509064i
\(389\) 30.7659 9.03367i 1.55989 0.458025i 0.615853 0.787861i \(-0.288812\pi\)
0.944038 + 0.329836i \(0.106993\pi\)
\(390\) 0.598037 1.29272i 0.0302828 0.0654595i
\(391\) 24.8510 + 9.42174i 1.25677 + 0.476478i
\(392\) −2.09265 2.09265i −0.105695 0.105695i
\(393\) −5.89637 + 10.7984i −0.297432 + 0.544707i
\(394\) −16.8469 + 14.5979i −0.848733 + 0.735431i
\(395\) 7.79829 10.3116i 0.392375 0.518833i
\(396\) −4.69725 + 0.675362i −0.236045 + 0.0339382i
\(397\) −2.69067 12.3688i −0.135041 0.620774i −0.994060 0.108830i \(-0.965289\pi\)
0.859019 0.511943i \(-0.171074\pi\)
\(398\) 4.51141 1.68267i 0.226137 0.0843446i
\(399\) −1.69103 1.46529i −0.0846575 0.0733562i
\(400\) −2.66186 4.23255i −0.133093 0.211628i
\(401\) 12.5643 5.73793i 0.627431 0.286538i −0.0762119 0.997092i \(-0.524283\pi\)
0.703643 + 0.710553i \(0.251555\pi\)
\(402\) −12.4644 + 6.80610i −0.621670 + 0.339457i
\(403\) −5.77967 + 3.15594i −0.287906 + 0.157208i
\(404\) 1.72454 0.787571i 0.0857991 0.0391831i
\(405\) 0.464600 + 2.18727i 0.0230862 + 0.108686i
\(406\) 7.34320 + 6.36292i 0.364437 + 0.315786i
\(407\) 16.7317 6.24059i 0.829357 0.309334i
\(408\) −1.17797 5.41505i −0.0583183 0.268085i
\(409\) 35.8484 5.15422i 1.77259 0.254860i 0.822929 0.568145i \(-0.192339\pi\)
0.949659 + 0.313285i \(0.101429\pi\)
\(410\) −1.83579 + 0.254773i −0.0906631 + 0.0125824i
\(411\) 2.22575 1.92862i 0.109788 0.0951319i
\(412\) −4.99269 + 9.14342i −0.245972 + 0.450464i
\(413\) −0.941646 0.941646i −0.0463354 0.0463354i
\(414\) −1.65174 4.50242i −0.0811786 0.221282i
\(415\) 14.5004 + 6.70817i 0.711798 + 0.329291i
\(416\) 0.611187 0.179461i 0.0299659 0.00879878i
\(417\) −0.208116 + 2.90984i −0.0101915 + 0.142495i
\(418\) 1.12288 5.16179i 0.0549218 0.252472i
\(419\) 2.49713 + 17.3680i 0.121993 + 0.848480i 0.955293 + 0.295660i \(0.0955394\pi\)
−0.833300 + 0.552820i \(0.813552\pi\)
\(420\) 4.38729 + 0.976932i 0.214078 + 0.0476694i
\(421\) −21.9977 10.0460i −1.07210 0.489614i −0.200434 0.979707i \(-0.564235\pi\)
−0.871670 + 0.490093i \(0.836963\pi\)
\(422\) −14.3721 + 1.02792i −0.699625 + 0.0500382i
\(423\) 8.01646 + 10.7087i 0.389773 + 0.520676i
\(424\) 3.65875 + 8.01155i 0.177685 + 0.389075i
\(425\) −9.93703 + 25.8653i −0.482017 + 1.25465i
\(426\) −5.99303 1.75971i −0.290363 0.0852584i
\(427\) −0.0313181 + 0.0839671i −0.00151559 + 0.00406345i
\(428\) −13.6173 + 10.1938i −0.658219 + 0.492736i
\(429\) −1.97955 + 2.28453i −0.0955738 + 0.110298i
\(430\) 23.4474 + 1.79249i 1.13073 + 0.0864416i
\(431\) 1.51969 2.36469i 0.0732010 0.113903i −0.802723 0.596352i \(-0.796616\pi\)
0.875924 + 0.482449i \(0.160253\pi\)
\(432\) −0.599278 + 0.800541i −0.0288328 + 0.0385161i
\(433\) −23.4752 5.10672i −1.12815 0.245414i −0.390502 0.920602i \(-0.627699\pi\)
−0.737645 + 0.675188i \(0.764062\pi\)
\(434\) −13.6083 15.7048i −0.653219 0.753855i
\(435\) 10.6910 + 1.59063i 0.512594 + 0.0762649i
\(436\) 4.13067i 0.197823i
\(437\) 5.33841 + 0.0287598i 0.255371 + 0.00137577i
\(438\) −10.3133 + 10.3133i −0.492787 + 0.492787i
\(439\) 5.69150 + 19.3835i 0.271641 + 0.925123i 0.976453 + 0.215729i \(0.0692129\pi\)
−0.704813 + 0.709394i \(0.748969\pi\)
\(440\) 2.93965 + 10.1961i 0.140142 + 0.486078i
\(441\) 2.48965 1.60000i 0.118555 0.0761906i
\(442\) −2.82591 2.11545i −0.134415 0.100622i
\(443\) 38.7341 8.42609i 1.84031 0.400336i 0.848625 0.528995i \(-0.177431\pi\)
0.991689 + 0.128659i \(0.0410673\pi\)
\(444\) 1.56321 3.42296i 0.0741869 0.162447i
\(445\) 6.20198 16.3826i 0.294002 0.776609i
\(446\) −3.80795 + 26.4849i −0.180312 + 1.25409i
\(447\) −4.78103 1.78323i −0.226135 0.0843439i
\(448\) 0.963343 + 1.76423i 0.0455137 + 0.0833521i
\(449\) 4.85943 16.5497i 0.229331 0.781028i −0.761762 0.647856i \(-0.775666\pi\)
0.991093 0.133172i \(-0.0425162\pi\)
\(450\) 4.70164 1.70134i 0.221638 0.0802017i
\(451\) 3.89335 + 0.559779i 0.183331 + 0.0263590i
\(452\) −0.254922 3.56428i −0.0119905 0.167650i
\(453\) −7.04320 18.8836i −0.330918 0.887227i
\(454\) −7.55278 4.85388i −0.354470 0.227804i
\(455\) 2.51958 1.35981i 0.118120 0.0637490i
\(456\) −0.601815 0.936443i −0.0281826 0.0438529i
\(457\) 35.9028 + 2.56782i 1.67946 + 0.120117i 0.878230 0.478238i \(-0.158724\pi\)
0.801231 + 0.598355i \(0.204179\pi\)
\(458\) −5.15960 2.81735i −0.241092 0.131646i
\(459\) 5.54170 0.258664
\(460\) −9.46443 + 5.04229i −0.441281 + 0.235098i
\(461\) −26.0387 −1.21274 −0.606371 0.795182i \(-0.707375\pi\)
−0.606371 + 0.795182i \(0.707375\pi\)
\(462\) −8.37225 4.57159i −0.389512 0.212690i
\(463\) 16.9619 + 1.21314i 0.788285 + 0.0563792i 0.459676 0.888087i \(-0.347966\pi\)
0.328609 + 0.944466i \(0.393420\pi\)
\(464\) 2.61334 + 4.06644i 0.121321 + 0.188780i
\(465\) −22.1478 6.62122i −1.02708 0.307052i
\(466\) −1.09895 0.706255i −0.0509081 0.0327166i
\(467\) −7.20841 19.3265i −0.333566 0.894324i −0.990142 0.140065i \(-0.955269\pi\)
0.656577 0.754259i \(-0.272004\pi\)
\(468\) 0.0454423 + 0.635366i 0.00210057 + 0.0293698i
\(469\) −28.2562 4.06263i −1.30475 0.187595i
\(470\) 21.2540 21.0468i 0.980376 0.970817i
\(471\) −2.77105 + 9.43733i −0.127683 + 0.434849i
\(472\) −0.317500 0.581458i −0.0146141 0.0267638i
\(473\) −46.7603 17.4407i −2.15004 0.801925i
\(474\) −0.822828 + 5.72289i −0.0377937 + 0.262861i
\(475\) −0.0545337 + 5.56549i −0.00250218 + 0.255362i
\(476\) 4.62748 10.1328i 0.212100 0.464435i
\(477\) −8.60619 + 1.87216i −0.394050 + 0.0857204i
\(478\) 15.6863 + 11.7426i 0.717475 + 0.537095i
\(479\) −15.2859 + 9.82368i −0.698433 + 0.448855i −0.841075 0.540919i \(-0.818077\pi\)
0.142642 + 0.989774i \(0.454440\pi\)
\(480\) 1.95728 + 1.08124i 0.0893370 + 0.0493514i
\(481\) −0.675314 2.29991i −0.0307916 0.104867i
\(482\) −5.84588 + 5.84588i −0.266273 + 0.266273i
\(483\) 2.76573 9.23489i 0.125845 0.420202i
\(484\) 11.5202i 0.523647i
\(485\) 3.30810 22.2345i 0.150213 1.00962i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) −19.1294 4.16135i −0.866837 0.188569i −0.242907 0.970049i \(-0.578101\pi\)
−0.623929 + 0.781481i \(0.714465\pi\)
\(488\) −0.0267178 + 0.0356908i −0.00120946 + 0.00161565i
\(489\) 8.74558 13.6084i 0.395489 0.615393i
\(490\) −4.30902 5.02238i −0.194662 0.226888i
\(491\) −27.2556 + 31.4546i −1.23003 + 1.41953i −0.355414 + 0.934709i \(0.615660\pi\)
−0.874615 + 0.484819i \(0.838885\pi\)
\(492\) 0.663535 0.496716i 0.0299145 0.0223937i
\(493\) 9.36123 25.0984i 0.421609 1.13038i
\(494\) −0.680344 0.199767i −0.0306101 0.00898794i
\(495\) −10.5879 + 0.705144i −0.475891 + 0.0316938i
\(496\) −4.29454 9.40374i −0.192831 0.422240i
\(497\) −7.52407 10.0510i −0.337501 0.450848i
\(498\) −7.12689 + 0.509725i −0.319364 + 0.0228413i
\(499\) 0.580749 + 0.265219i 0.0259979 + 0.0118729i 0.428372 0.903603i \(-0.359087\pi\)
−0.402374 + 0.915476i \(0.631815\pi\)
\(500\) −5.21337 9.89044i −0.233149 0.442314i
\(501\) −3.48349 24.2282i −0.155631 1.08244i
\(502\) 2.67442 12.2941i 0.119365 0.548713i
\(503\) −0.451763 + 6.31648i −0.0201431 + 0.281638i 0.977390 + 0.211444i \(0.0678165\pi\)
−0.997533 + 0.0701942i \(0.977638\pi\)
\(504\) −1.92869 + 0.566313i −0.0859105 + 0.0252256i
\(505\) 3.97921 1.46200i 0.177072 0.0650582i
\(506\) 22.2645 4.71787i 0.989777 0.209735i
\(507\) −8.90548 8.90548i −0.395506 0.395506i
\(508\) 4.13794 7.57808i 0.183592 0.336223i
\(509\) 6.88009 5.96163i 0.304955 0.264245i −0.488917 0.872330i \(-0.662608\pi\)
0.793871 + 0.608086i \(0.208062\pi\)
\(510\) −1.70340 12.2740i −0.0754278 0.543501i
\(511\) −29.0194 + 4.17235i −1.28374 + 0.184574i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) 1.04297 0.389007i 0.0460481 0.0171751i
\(514\) −10.3996 9.01130i −0.458706 0.397471i
\(515\) −12.6899 + 19.5349i −0.559186 + 0.860809i
\(516\) −9.56623 + 4.36875i −0.421130 + 0.192324i
\(517\) −55.7155 + 30.4230i −2.45037 + 1.33800i
\(518\) 6.63883 3.62508i 0.291694 0.159277i
\(519\) 8.25726 3.77096i 0.362453 0.165527i
\(520\) 1.39327 0.295946i 0.0610988 0.0129781i
\(521\) 21.9741 + 19.0407i 0.962704 + 0.834188i 0.986204 0.165536i \(-0.0529354\pi\)
−0.0234995 + 0.999724i \(0.507481\pi\)
\(522\) −4.52902 + 1.68924i −0.198230 + 0.0739359i
\(523\) −2.47431 11.3742i −0.108194 0.497360i −0.999070 0.0431138i \(-0.986272\pi\)
0.890876 0.454246i \(-0.150091\pi\)
\(524\) −12.1781 + 1.75095i −0.532004 + 0.0764906i
\(525\) 9.61523 + 2.92592i 0.419643 + 0.127698i
\(526\) 17.1267 14.8404i 0.746759 0.647070i
\(527\) −27.4561 + 50.2821i −1.19601 + 2.19032i
\(528\) −3.35561 3.35561i −0.146034 0.146034i
\(529\) 9.32857 + 21.0233i 0.405590 + 0.914055i
\(530\) 6.79190 + 18.4859i 0.295021 + 0.802975i
\(531\) 0.635660 0.186647i 0.0275853 0.00809977i
\(532\) 0.159625 2.23186i 0.00692064 0.0967632i
\(533\) 0.112229 0.515908i 0.00486117 0.0223465i
\(534\) 1.11489 + 7.75421i 0.0482459 + 0.335557i
\(535\) −32.0982 + 20.4067i −1.38773 + 0.882261i
\(536\) −12.9182 5.89956i −0.557982 0.254822i
\(537\) −9.70385 + 0.694033i −0.418752 + 0.0299498i
\(538\) 7.41654 + 9.90734i 0.319750 + 0.427136i
\(539\) 5.83419 + 12.7751i 0.251296 + 0.550262i
\(540\) −1.47257 + 1.68271i −0.0633695 + 0.0724125i
\(541\) 18.2961 + 5.37221i 0.786609 + 0.230969i 0.650280 0.759694i \(-0.274652\pi\)
0.136329 + 0.990664i \(0.456470\pi\)
\(542\) 3.53798 9.48568i 0.151969 0.407445i
\(543\) −7.98515 + 5.97761i −0.342676 + 0.256524i
\(544\) 3.62904 4.18813i 0.155594 0.179565i
\(545\) 0.704048 9.20958i 0.0301581 0.394495i
\(546\) −0.692247 + 1.07716i −0.0296254 + 0.0460981i
\(547\) 7.70705 10.2954i 0.329530 0.440200i −0.604925 0.796282i \(-0.706797\pi\)
0.934455 + 0.356083i \(0.115888\pi\)
\(548\) 2.87778 + 0.626023i 0.122933 + 0.0267424i
\(549\) −0.0291959 0.0336939i −0.00124605 0.00143802i
\(550\) 4.81628 + 23.2338i 0.205367 + 0.990692i
\(551\) 5.38074i 0.229227i
\(552\) 2.61452 4.02048i 0.111281 0.171123i
\(553\) −8.21795 + 8.21795i −0.349463 + 0.349463i
\(554\) 3.39264 + 11.5543i 0.144139 + 0.490894i
\(555\) 4.06871 7.36527i 0.172707 0.312638i
\(556\) −2.45416 + 1.57719i −0.104080 + 0.0668879i
\(557\) 21.1488 + 15.8318i 0.896105 + 0.670816i 0.944676 0.328004i \(-0.106376\pi\)
−0.0485716 + 0.998820i \(0.515467\pi\)
\(558\) 10.1017 2.19749i 0.427639 0.0930272i
\(559\) −2.78285 + 6.09359i −0.117702 + 0.257731i
\(560\) 1.84713 + 4.09766i 0.0780555 + 0.173158i
\(561\) −3.74265 + 26.0307i −0.158015 + 1.09902i
\(562\) −12.8141 4.77940i −0.540529 0.201607i
\(563\) −7.20004 13.1859i −0.303446 0.555719i 0.680812 0.732458i \(-0.261627\pi\)
−0.984258 + 0.176739i \(0.943445\pi\)
\(564\) −3.76870 + 12.8350i −0.158691 + 0.540451i
\(565\) 0.0391454 7.99024i 0.00164686 0.336152i
\(566\) −18.6173 2.67677i −0.782545 0.112513i
\(567\) −0.143400 2.00499i −0.00602222 0.0842016i
\(568\) −2.18277 5.85223i −0.0915869 0.245554i
\(569\) 6.70522 + 4.30919i 0.281098 + 0.180650i 0.673591 0.739104i \(-0.264751\pi\)
−0.392493 + 0.919755i \(0.628387\pi\)
\(570\) −1.18217 2.19043i −0.0495158 0.0917472i
\(571\) 5.31856 + 8.27585i 0.222575 + 0.346333i 0.934525 0.355896i \(-0.115824\pi\)
−0.711950 + 0.702230i \(0.752188\pi\)
\(572\) −3.01516 0.215649i −0.126070 0.00901672i
\(573\) −18.6144 10.1642i −0.777626 0.424616i
\(574\) 1.66610 0.0695415
\(575\) −21.9610 + 9.62894i −0.915835 + 0.401554i
\(576\) −1.00000 −0.0416667
\(577\) −13.2034 7.20958i −0.549663 0.300139i 0.180315 0.983609i \(-0.442288\pi\)
−0.729979 + 0.683470i \(0.760470\pi\)
\(578\) −13.6755 0.978088i −0.568824 0.0406831i
\(579\) 0.154803 + 0.240879i 0.00643341 + 0.0100106i
\(580\) 5.13351 + 9.51182i 0.213157 + 0.394957i
\(581\) −12.0824 7.76491i −0.501264 0.322143i
\(582\) 3.51317 + 9.41917i 0.145626 + 0.390437i
\(583\) −2.98171 41.6898i −0.123490 1.72661i
\(584\) −14.4367 2.07568i −0.597395 0.0858924i
\(585\) −0.00697803 + 1.42433i −0.000288506 + 0.0588890i
\(586\) 3.01737 10.2762i 0.124646 0.424506i
\(587\) 1.17888 + 2.15897i 0.0486578 + 0.0891100i 0.900876 0.434076i \(-0.142925\pi\)
−0.852218 + 0.523186i \(0.824743\pi\)
\(588\) 2.77286 + 1.03422i 0.114351 + 0.0426507i
\(589\) −1.63772 + 11.3906i −0.0674810 + 0.469341i
\(590\) −0.608781 1.35051i −0.0250631 0.0555998i
\(591\) 9.26026 20.2771i 0.380916 0.834090i
\(592\) 3.67702 0.799887i 0.151125 0.0328752i
\(593\) −20.7993 15.5702i −0.854125 0.639390i 0.0798191 0.996809i \(-0.474566\pi\)
−0.933944 + 0.357419i \(0.883657\pi\)
\(594\) 3.99221 2.56564i 0.163802 0.105269i
\(595\) 12.0443 21.8029i 0.493769 0.893833i
\(596\) −1.43761 4.89606i −0.0588869 0.200550i
\(597\) −3.40472 + 3.40472i −0.139346 + 0.139346i
\(598\) −0.418460 3.02610i −0.0171121 0.123746i
\(599\) 32.1078i 1.31189i −0.754809 0.655945i \(-0.772270\pi\)
0.754809 0.655945i \(-0.227730\pi\)
\(600\) 4.17958 + 2.74429i 0.170631 + 0.112035i
\(601\) 13.6523 + 15.7556i 0.556891 + 0.642686i 0.962475 0.271372i \(-0.0874772\pi\)
−0.405584 + 0.914058i \(0.632932\pi\)
\(602\) −20.6564 4.49353i −0.841892 0.183142i
\(603\) 8.51070 11.3690i 0.346582 0.462980i
\(604\) 10.8962 16.9549i 0.443361 0.689884i
\(605\) 1.96356 25.6851i 0.0798299 1.04425i
\(606\) −1.24153 + 1.43280i −0.0504336 + 0.0582035i
\(607\) −14.6526 + 10.9688i −0.594732 + 0.445211i −0.853766 0.520658i \(-0.825687\pi\)
0.259034 + 0.965868i \(0.416596\pi\)
\(608\) 0.389007 1.04297i 0.0157763 0.0422979i
\(609\) −9.32286 2.73744i −0.377782 0.110927i
\(610\) −0.0656523 + 0.0750210i −0.00265819 + 0.00303751i
\(611\) 3.53972 + 7.75090i 0.143202 + 0.313568i
\(612\) 3.32101 + 4.43636i 0.134244 + 0.179329i
\(613\) 37.4376 2.67759i 1.51209 0.108147i 0.709513 0.704692i \(-0.248915\pi\)
0.802579 + 0.596545i \(0.203460\pi\)
\(614\) 7.05688 + 3.22277i 0.284792 + 0.130060i
\(615\) 1.56406 0.994364i 0.0630688 0.0400966i
\(616\) −1.35755 9.44198i −0.0546973 0.380428i
\(617\) −4.13932 + 19.0282i −0.166643 + 0.766045i 0.815628 + 0.578577i \(0.196392\pi\)
−0.982271 + 0.187468i \(0.939972\pi\)
\(618\) 0.743192 10.3912i 0.0298956 0.417995i
\(619\) 25.7558 7.56258i 1.03521 0.303966i 0.280384 0.959888i \(-0.409538\pi\)
0.754829 + 0.655922i \(0.227720\pi\)
\(620\) −7.97214 21.6982i −0.320169 0.871421i
\(621\) 3.37285 + 3.40938i 0.135348 + 0.136814i
\(622\) −7.22835 7.22835i −0.289831 0.289831i
\(623\) −7.54678 + 13.8209i −0.302355 + 0.553723i
\(624\) −0.481404 + 0.417139i −0.0192716 + 0.0166989i
\(625\) −9.93777 22.9399i −0.397511 0.917597i
\(626\) −8.40838 + 1.20894i −0.336066 + 0.0483190i
\(627\) 1.12288 + 5.16179i 0.0448435 + 0.206142i
\(628\) −9.21560 + 3.43724i −0.367743 + 0.137161i
\(629\) −15.7600 13.6561i −0.628393 0.544506i
\(630\) −4.39665 + 0.933898i −0.175167 + 0.0372074i
\(631\) −13.0249 + 5.94827i −0.518513 + 0.236797i −0.657442 0.753506i \(-0.728361\pi\)
0.138929 + 0.990302i \(0.455634\pi\)
\(632\) −5.07451 + 2.77089i −0.201853 + 0.110220i
\(633\) 12.6464 6.90543i 0.502648 0.274466i
\(634\) 16.4938 7.53245i 0.655051 0.299152i
\(635\) 10.5174 16.1905i 0.417372 0.642501i
\(636\) −6.65624 5.76766i −0.263937 0.228703i
\(637\) 1.76628 0.658790i 0.0699827 0.0261022i
\(638\) −4.87603 22.4148i −0.193044 0.887409i
\(639\) 6.18247 0.888904i 0.244575 0.0351645i
\(640\) 0.307379 + 2.21484i 0.0121502 + 0.0875493i
\(641\) −16.1348 + 13.9809i −0.637287 + 0.552212i −0.912452 0.409185i \(-0.865813\pi\)
0.275164 + 0.961397i \(0.411268\pi\)
\(642\) 8.15210 14.9295i 0.321738 0.589219i
\(643\) 19.1539 + 19.1539i 0.755355 + 0.755355i 0.975473 0.220118i \(-0.0706443\pi\)
−0.220118 + 0.975473i \(0.570644\pi\)
\(644\) 9.05035 3.32018i 0.356634 0.130833i
\(645\) −22.0731 + 8.10989i −0.869129 + 0.319327i
\(646\) −5.91887 + 1.73794i −0.232875 + 0.0683782i
\(647\) 2.96504 41.4567i 0.116568 1.62983i −0.516889 0.856053i \(-0.672910\pi\)
0.633456 0.773778i \(-0.281636\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) 0.447424 + 3.11190i 0.0175629 + 0.122153i
\(650\) 3.15682 0.422355i 0.123821 0.0165661i
\(651\) 18.9026 + 8.63251i 0.740849 + 0.338335i
\(652\) 16.1351 1.15401i 0.631900 0.0451944i
\(653\) 22.0520 + 29.4580i 0.862961 + 1.15278i 0.987035 + 0.160508i \(0.0513133\pi\)
−0.124073 + 0.992273i \(0.539596\pi\)
\(654\) 1.71594 + 3.75739i 0.0670986 + 0.146925i
\(655\) −27.4503 + 1.82816i −1.07257 + 0.0714322i
\(656\) 0.795284 + 0.233516i 0.0310506 + 0.00911728i
\(657\) 5.09699 13.6656i 0.198852 0.533144i
\(658\) −21.5257 + 16.1140i −0.839160 + 0.628188i
\(659\) −6.70149 + 7.73393i −0.261053 + 0.301271i −0.871112 0.491085i \(-0.836600\pi\)
0.610059 + 0.792356i \(0.291146\pi\)
\(660\) −6.90960 8.05348i −0.268956 0.313481i
\(661\) −20.5051 + 31.9066i −0.797557 + 1.24102i 0.169265 + 0.985571i \(0.445861\pi\)
−0.966822 + 0.255452i \(0.917776\pi\)
\(662\) 6.16395 8.23407i 0.239569 0.320026i
\(663\) 3.44933 + 0.750356i 0.133961 + 0.0291414i
\(664\) −4.67904 5.39990i −0.181582 0.209557i
\(665\) 0.736302 4.94886i 0.0285526 0.191908i
\(666\) 3.76302i 0.145814i
\(667\) 21.1387 9.51643i 0.818494 0.368477i
\(668\) 17.3081 17.3081i 0.669671 0.669671i
\(669\) −7.53838 25.6734i −0.291450 0.992589i
\(670\) −27.7964 15.3553i −1.07387 0.593226i
\(671\) 0.177986 0.114385i 0.00687108 0.00441577i
\(672\) −1.60918 1.20461i −0.0620753 0.0464690i
\(673\) −19.3318 + 4.20538i −0.745188 + 0.162106i −0.569099 0.822269i \(-0.692708\pi\)
−0.176088 + 0.984374i \(0.556344\pi\)
\(674\) 0.954496 2.09006i 0.0367658 0.0805059i
\(675\) −3.57001 + 3.50072i −0.137410 + 0.134743i
\(676\) 1.79235 12.4661i 0.0689365 0.479464i
\(677\) 48.1061 + 17.9426i 1.84887 + 0.689592i 0.981363 + 0.192162i \(0.0615500\pi\)
0.867504 + 0.497430i \(0.165723\pi\)
\(678\) 1.71254 + 3.13629i 0.0657698 + 0.120448i
\(679\) −5.69316 + 19.3891i −0.218483 + 0.744086i
\(680\) 8.80501 8.71916i 0.337657 0.334364i
\(681\) 8.88663 + 1.27770i 0.340536 + 0.0489617i
\(682\) 3.49985 + 48.9343i 0.134016 + 1.87379i
\(683\) 4.81007 + 12.8963i 0.184052 + 0.493463i 0.995906 0.0903983i \(-0.0288140\pi\)
−0.811854 + 0.583861i \(0.801541\pi\)
\(684\) 0.936443 + 0.601815i 0.0358058 + 0.0230110i
\(685\) 6.30949 + 1.88626i 0.241073 + 0.0720702i
\(686\) 10.8234 + 16.8416i 0.413240 + 0.643014i
\(687\) 5.86371 + 0.419381i 0.223714 + 0.0160004i
\(688\) −9.23019 5.04007i −0.351898 0.192151i
\(689\) −5.61026 −0.213734
\(690\) 6.51450 8.51829i 0.248003 0.324286i
\(691\) 34.2962 1.30469 0.652345 0.757922i \(-0.273785\pi\)
0.652345 + 0.757922i \(0.273785\pi\)
\(692\) 7.96720 + 4.35042i 0.302868 + 0.165378i
\(693\) 9.51477 + 0.680510i 0.361436 + 0.0258504i
\(694\) 3.13850 + 4.88360i 0.119136 + 0.185379i
\(695\) −5.74053 + 3.09816i −0.217751 + 0.117520i
\(696\) −4.06644 2.61334i −0.154138 0.0990585i
\(697\) −1.60519 4.30367i −0.0608008 0.163013i
\(698\) −1.46302 20.4557i −0.0553761 0.774259i
\(699\) 1.29303 + 0.185910i 0.0489070 + 0.00703177i
\(700\) 3.41987 + 9.45082i 0.129259 + 0.357208i
\(701\) −0.780204 + 2.65713i −0.0294679 + 0.100358i −0.972914 0.231168i \(-0.925745\pi\)
0.943446 + 0.331526i \(0.107564\pi\)
\(702\) −0.305277 0.559072i −0.0115219 0.0211008i
\(703\) −3.92470 1.46384i −0.148023 0.0552097i
\(704\) 0.675362 4.69725i 0.0254537 0.177034i
\(705\) −10.5902 + 27.9741i −0.398850 + 1.05357i
\(706\) −0.226555 + 0.496087i −0.00852652 + 0.0186705i
\(707\) −3.72381 + 0.810065i −0.140048 + 0.0304656i
\(708\) 0.530355 + 0.397019i 0.0199320 + 0.0149209i
\(709\) 0.869917 0.559062i 0.0326704 0.0209960i −0.524204 0.851593i \(-0.675637\pi\)
0.556874 + 0.830597i \(0.312001\pi\)
\(710\) −3.86914 13.4199i −0.145206 0.503642i
\(711\) −1.62890 5.54754i −0.0610887 0.208049i
\(712\) −5.53944 + 5.53944i −0.207599 + 0.207599i
\(713\) −47.6454 + 13.7116i −1.78433 + 0.513502i
\(714\) 11.1394i 0.416882i
\(715\) −6.68574 0.994719i −0.250032 0.0372004i
\(716\) −6.37091 7.35242i −0.238092 0.274773i
\(717\) −19.1468 4.16514i −0.715051 0.155550i
\(718\) 7.86078 10.5008i 0.293362 0.391886i
\(719\) 17.5785 27.3527i 0.655567 1.02008i −0.341220 0.939983i \(-0.610840\pi\)
0.996787 0.0800986i \(-0.0255235\pi\)
\(720\) −2.22956 0.170444i −0.0830909 0.00635208i
\(721\) 13.7133 15.8260i 0.510710 0.589391i
\(722\) 14.2183 10.6437i 0.529151 0.396118i
\(723\) 2.88913 7.74607i 0.107448 0.288079i
\(724\) −9.57064 2.81019i −0.355690 0.104440i
\(725\) 9.82425 + 22.0822i 0.364864 + 0.820111i
\(726\) 4.78568 + 10.4792i 0.177613 + 0.388918i
\(727\) −30.5586 40.8216i −1.13336 1.51399i −0.827114 0.562035i \(-0.810019\pi\)
−0.306244 0.951953i \(-0.599072\pi\)
\(728\) −1.27716 + 0.0913440i −0.0473346 + 0.00338544i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) −31.8337 7.08852i −1.17822 0.262358i
\(731\) 8.29407 + 57.6866i 0.306767 + 2.13361i
\(732\) 0.00947688 0.0435645i 0.000350275 0.00161019i
\(733\) 0.437055 6.11082i 0.0161430 0.225708i −0.982976 0.183735i \(-0.941181\pi\)
0.999119 0.0419731i \(-0.0133644\pi\)
\(734\) −26.5584 + 7.79825i −0.980289 + 0.287839i
\(735\) 6.00599 + 2.77849i 0.221534 + 0.102486i
\(736\) 4.78539 0.316355i 0.176392 0.0116610i
\(737\) 47.6550 + 47.6550i 1.75539 + 1.75539i
\(738\) −0.397229 + 0.727471i −0.0146222 + 0.0267786i
\(739\) 12.9401 11.2127i 0.476010 0.412465i −0.383534 0.923527i \(-0.625293\pi\)
0.859544 + 0.511062i \(0.170748\pi\)
\(740\) 8.33448 1.15667i 0.306382 0.0425201i
\(741\) 0.701848 0.100911i 0.0257830 0.00370704i
\(742\) −3.76325 17.2994i −0.138153 0.635080i
\(743\) −44.8130 + 16.7144i −1.64403 + 0.613191i −0.989718 0.143034i \(-0.954314\pi\)
−0.654312 + 0.756225i \(0.727042\pi\)
\(744\) 7.81291 + 6.76992i 0.286435 + 0.248197i
\(745\) −2.37074 11.1611i −0.0868573 0.408911i
\(746\) −0.573503 + 0.261910i −0.0209974 + 0.00958920i
\(747\) 6.27110 3.42428i 0.229448 0.125288i
\(748\) −23.0815 + 12.6035i −0.843945 + 0.460829i
\(749\) 31.1024 14.2040i 1.13646 0.519003i
\(750\) 8.85089 + 6.83095i 0.323189 + 0.249431i
\(751\) 13.2567 + 11.4870i 0.483743 + 0.419166i 0.862289 0.506417i \(-0.169030\pi\)
−0.378546 + 0.925583i \(0.623576\pi\)
\(752\) −12.5334 + 4.67473i −0.457048 + 0.170470i
\(753\) 2.67442 + 12.2941i 0.0974613 + 0.448022i
\(754\) −3.04773 + 0.438198i −0.110992 + 0.0159582i
\(755\) 27.1837 35.9447i 0.989316 1.30816i
\(756\) 1.51914 1.31634i 0.0552506 0.0478749i
\(757\) −6.55421 + 12.0031i −0.238217 + 0.436261i −0.969249 0.246081i \(-0.920857\pi\)
0.731032 + 0.682343i \(0.239039\pi\)
\(758\) 0.870436 + 0.870436i 0.0316157 + 0.0316157i
\(759\) −18.2926 + 13.5405i −0.663980 + 0.491490i
\(760\) 1.04508 2.25906i 0.0379091 0.0819446i
\(761\) 0.614378 0.180398i 0.0222712 0.00653941i −0.270578 0.962698i \(-0.587215\pi\)
0.292849 + 0.956159i \(0.405397\pi\)
\(762\) −0.615959 + 8.61223i −0.0223138 + 0.311988i
\(763\) −1.76495 + 8.11334i −0.0638955 + 0.293723i
\(764\) −3.01830 20.9928i −0.109198 0.759491i
\(765\) 6.64826 + 10.4572i 0.240368 + 0.378080i
\(766\) 22.8595 + 10.4396i 0.825948 + 0.377198i
\(767\) 0.420927 0.0301053i 0.0151988 0.00108704i
\(768\) −0.599278 0.800541i −0.0216246 0.0288870i
\(769\) 11.4769 + 25.1310i 0.413868 + 0.906246i 0.995674 + 0.0929175i \(0.0296193\pi\)
−0.581805 + 0.813328i \(0.697653\pi\)
\(770\) −1.41742 21.2829i −0.0510801 0.766981i
\(771\) 13.2032 + 3.87682i 0.475503 + 0.139620i
\(772\) −0.100063 + 0.268280i −0.00360135 + 0.00965560i
\(773\) 9.77394 7.31668i 0.351544 0.263163i −0.408882