Properties

Label 354.2.e.b.127.2
Level 354
Weight 2
Character 354.127
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 127.2
Character \(\chi\) = 354.127
Dual form 354.2.e.b.223.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.647386 + 0.762162i) q^{2} +(-0.796093 - 0.605174i) q^{3} +(-0.161782 - 0.986827i) q^{4} +(0.140789 + 0.265557i) q^{5} +(0.976621 - 0.214970i) q^{6} +(-0.694075 - 0.0754852i) q^{7} +(0.856857 + 0.515554i) q^{8} +(0.267528 + 0.963550i) q^{9} +O(q^{10})\) \(q+(-0.647386 + 0.762162i) q^{2} +(-0.796093 - 0.605174i) q^{3} +(-0.161782 - 0.986827i) q^{4} +(0.140789 + 0.265557i) q^{5} +(0.976621 - 0.214970i) q^{6} +(-0.694075 - 0.0754852i) q^{7} +(0.856857 + 0.515554i) q^{8} +(0.267528 + 0.963550i) q^{9} +(-0.293542 - 0.0646136i) q^{10} +(1.30975 + 0.441306i) q^{11} +(-0.468408 + 0.883512i) q^{12} +(1.02091 - 3.67700i) q^{13} +(0.506866 - 0.480129i) q^{14} +(0.0486267 - 0.296610i) q^{15} +(-0.947653 + 0.319302i) q^{16} +(4.84839 - 0.527294i) q^{17} +(-0.907575 - 0.419889i) q^{18} +(0.200283 - 3.69400i) q^{19} +(0.239281 - 0.181897i) q^{20} +(0.506866 + 0.480129i) q^{21} +(-1.18426 + 0.712546i) q^{22} +(3.07555 - 1.42290i) q^{23} +(-0.370138 - 0.928977i) q^{24} +(2.75524 - 4.06367i) q^{25} +(2.14154 + 3.15854i) q^{26} +(0.370138 - 0.928977i) q^{27} +(0.0377980 + 0.697143i) q^{28} +(2.55869 + 3.01233i) q^{29} +(0.194585 + 0.229083i) q^{30} +(0.0121354 + 0.223824i) q^{31} +(0.370138 - 0.928977i) q^{32} +(-0.775616 - 1.14395i) q^{33} +(-2.73690 + 4.03662i) q^{34} +(-0.0776727 - 0.194944i) q^{35} +(0.907575 - 0.419889i) q^{36} +(3.78404 - 2.27678i) q^{37} +(2.68577 + 2.54410i) q^{38} +(-3.03796 + 2.30940i) q^{39} +(-0.0162725 + 0.300129i) q^{40} +(5.51917 + 2.55344i) q^{41} +(-0.694075 + 0.0754852i) q^{42} +(-1.37218 + 0.462342i) q^{43} +(0.223599 - 1.36389i) q^{44} +(-0.218212 + 0.206702i) q^{45} +(-0.906589 + 3.26524i) q^{46} +(-1.73350 + 3.26973i) q^{47} +(0.947653 + 0.319302i) q^{48} +(-6.36030 - 1.40001i) q^{49} +(1.31347 + 4.73070i) q^{50} +(-4.17888 - 2.51435i) q^{51} +(-3.79372 - 0.412592i) q^{52} +(3.27478 - 0.720834i) q^{53} +(0.468408 + 0.883512i) q^{54} +(0.0672069 + 0.409944i) q^{55} +(-0.555806 - 0.422513i) q^{56} +(-2.39496 + 2.81956i) q^{57} -3.95234 q^{58} +(-6.83631 - 3.50212i) q^{59} -0.300570 q^{60} +(-1.04273 + 1.22760i) q^{61} +(-0.178446 - 0.135651i) q^{62} +(-0.112951 - 0.688970i) q^{63} +(0.468408 + 0.883512i) q^{64} +(1.12018 - 0.246571i) q^{65} +(1.37400 + 0.149431i) q^{66} +(-1.39950 - 0.842053i) q^{67} +(-1.30473 - 4.69921i) q^{68} +(-3.30953 - 0.728483i) q^{69} +(0.198863 + 0.0670047i) q^{70} +(-3.17992 + 5.99796i) q^{71} +(-0.267528 + 0.963550i) q^{72} +(3.29561 - 3.12177i) q^{73} +(-0.714458 + 4.35800i) q^{74} +(-4.65265 + 1.56766i) q^{75} +(-3.67774 + 0.399979i) q^{76} +(-0.875752 - 0.405166i) q^{77} +(0.206599 - 3.81050i) q^{78} +(-8.61555 + 6.54937i) q^{79} +(-0.218212 - 0.206702i) q^{80} +(-0.856857 + 0.515554i) q^{81} +(-5.51917 + 2.55344i) q^{82} +(-2.75870 - 6.92381i) q^{83} +(0.391802 - 0.577865i) q^{84} +(0.822628 + 1.21329i) q^{85} +(0.535953 - 1.34514i) q^{86} +(-0.213976 - 3.94655i) q^{87} +(0.894752 + 1.05338i) q^{88} +(-2.12020 - 2.49609i) q^{89} +(-0.0162725 - 0.300129i) q^{90} +(-0.986148 + 2.47505i) q^{91} +(-1.90173 - 2.80484i) q^{92} +(0.125791 - 0.185528i) q^{93} +(-1.36982 - 3.43798i) q^{94} +(1.00917 - 0.466890i) q^{95} +(-0.856857 + 0.515554i) q^{96} +(7.68744 + 7.28193i) q^{97} +(5.18461 - 3.94123i) q^{98} +(-0.0748253 + 1.38007i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{21}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.647386 + 0.762162i −0.457771 + 0.538930i
\(3\) −0.796093 0.605174i −0.459625 0.349397i
\(4\) −0.161782 0.986827i −0.0808910 0.493413i
\(5\) 0.140789 + 0.265557i 0.0629629 + 0.118761i 0.912996 0.407969i \(-0.133763\pi\)
−0.850033 + 0.526730i \(0.823418\pi\)
\(6\) 0.976621 0.214970i 0.398704 0.0877613i
\(7\) −0.694075 0.0754852i −0.262336 0.0285307i −0.0239940 0.999712i \(-0.507638\pi\)
−0.238342 + 0.971181i \(0.576604\pi\)
\(8\) 0.856857 + 0.515554i 0.302945 + 0.182276i
\(9\) 0.267528 + 0.963550i 0.0891761 + 0.321183i
\(10\) −0.293542 0.0646136i −0.0928263 0.0204326i
\(11\) 1.30975 + 0.441306i 0.394904 + 0.133059i 0.509746 0.860325i \(-0.329739\pi\)
−0.114841 + 0.993384i \(0.536636\pi\)
\(12\) −0.468408 + 0.883512i −0.135218 + 0.255048i
\(13\) 1.02091 3.67700i 0.283150 1.01981i −0.675996 0.736905i \(-0.736286\pi\)
0.959146 0.282910i \(-0.0912997\pi\)
\(14\) 0.506866 0.480129i 0.135466 0.128320i
\(15\) 0.0486267 0.296610i 0.0125554 0.0765844i
\(16\) −0.947653 + 0.319302i −0.236913 + 0.0798254i
\(17\) 4.84839 0.527294i 1.17591 0.127888i 0.500771 0.865580i \(-0.333050\pi\)
0.675137 + 0.737692i \(0.264084\pi\)
\(18\) −0.907575 0.419889i −0.213918 0.0989688i
\(19\) 0.200283 3.69400i 0.0459481 0.847463i −0.881194 0.472754i \(-0.843260\pi\)
0.927143 0.374709i \(-0.122257\pi\)
\(20\) 0.239281 0.181897i 0.0535049 0.0406734i
\(21\) 0.506866 + 0.480129i 0.110607 + 0.104773i
\(22\) −1.18426 + 0.712546i −0.252485 + 0.151915i
\(23\) 3.07555 1.42290i 0.641297 0.296696i −0.0721614 0.997393i \(-0.522990\pi\)
0.713459 + 0.700697i \(0.247128\pi\)
\(24\) −0.370138 0.928977i −0.0755541 0.189627i
\(25\) 2.75524 4.06367i 0.551047 0.812734i
\(26\) 2.14154 + 3.15854i 0.419991 + 0.619440i
\(27\) 0.370138 0.928977i 0.0712331 0.178782i
\(28\) 0.0377980 + 0.697143i 0.00714315 + 0.131748i
\(29\) 2.55869 + 3.01233i 0.475137 + 0.559375i 0.946558 0.322534i \(-0.104535\pi\)
−0.471421 + 0.881908i \(0.656259\pi\)
\(30\) 0.194585 + 0.229083i 0.0355261 + 0.0418246i
\(31\) 0.0121354 + 0.223824i 0.00217958 + 0.0401999i 0.999421 0.0340280i \(-0.0108335\pi\)
−0.997241 + 0.0742279i \(0.976351\pi\)
\(32\) 0.370138 0.928977i 0.0654318 0.164221i
\(33\) −0.775616 1.14395i −0.135017 0.199136i
\(34\) −2.73690 + 4.03662i −0.469374 + 0.692275i
\(35\) −0.0776727 0.194944i −0.0131291 0.0329515i
\(36\) 0.907575 0.419889i 0.151263 0.0699815i
\(37\) 3.78404 2.27678i 0.622092 0.374300i −0.169340 0.985558i \(-0.554164\pi\)
0.791432 + 0.611258i \(0.209336\pi\)
\(38\) 2.68577 + 2.54410i 0.435689 + 0.412707i
\(39\) −3.03796 + 2.30940i −0.486464 + 0.369800i
\(40\) −0.0162725 + 0.300129i −0.00257291 + 0.0474545i
\(41\) 5.51917 + 2.55344i 0.861950 + 0.398780i 0.800502 0.599330i \(-0.204566\pi\)
0.0614477 + 0.998110i \(0.480428\pi\)
\(42\) −0.694075 + 0.0754852i −0.107098 + 0.0116476i
\(43\) −1.37218 + 0.462342i −0.209256 + 0.0705065i −0.421977 0.906606i \(-0.638664\pi\)
0.212721 + 0.977113i \(0.431767\pi\)
\(44\) 0.223599 1.36389i 0.0337088 0.205614i
\(45\) −0.218212 + 0.206702i −0.0325291 + 0.0308132i
\(46\) −0.906589 + 3.26524i −0.133669 + 0.481433i
\(47\) −1.73350 + 3.26973i −0.252857 + 0.476938i −0.977149 0.212554i \(-0.931822\pi\)
0.724292 + 0.689493i \(0.242167\pi\)
\(48\) 0.947653 + 0.319302i 0.136782 + 0.0460872i
\(49\) −6.36030 1.40001i −0.908615 0.200001i
\(50\) 1.31347 + 4.73070i 0.185753 + 0.669022i
\(51\) −4.17888 2.51435i −0.585160 0.352079i
\(52\) −3.79372 0.412592i −0.526095 0.0572162i
\(53\) 3.27478 0.720834i 0.449826 0.0990142i 0.0157209 0.999876i \(-0.494996\pi\)
0.434105 + 0.900862i \(0.357065\pi\)
\(54\) 0.468408 + 0.883512i 0.0637423 + 0.120231i
\(55\) 0.0672069 + 0.409944i 0.00906218 + 0.0552769i
\(56\) −0.555806 0.422513i −0.0742727 0.0564607i
\(57\) −2.39496 + 2.81956i −0.317220 + 0.373460i
\(58\) −3.95234 −0.518968
\(59\) −6.83631 3.50212i −0.890012 0.455937i
\(60\) −0.300570 −0.0388034
\(61\) −1.04273 + 1.22760i −0.133508 + 0.157178i −0.824854 0.565346i \(-0.808743\pi\)
0.691345 + 0.722525i \(0.257018\pi\)
\(62\) −0.178446 0.135651i −0.0226627 0.0172277i
\(63\) −0.112951 0.688970i −0.0142305 0.0868021i
\(64\) 0.468408 + 0.883512i 0.0585511 + 0.110439i
\(65\) 1.12018 0.246571i 0.138942 0.0305834i
\(66\) 1.37400 + 0.149431i 0.169127 + 0.0183937i
\(67\) −1.39950 0.842053i −0.170977 0.102873i 0.427493 0.904019i \(-0.359397\pi\)
−0.598470 + 0.801145i \(0.704224\pi\)
\(68\) −1.30473 4.69921i −0.158222 0.569863i
\(69\) −3.30953 0.728483i −0.398421 0.0876991i
\(70\) 0.198863 + 0.0670047i 0.0237687 + 0.00800860i
\(71\) −3.17992 + 5.99796i −0.377387 + 0.711827i −0.997346 0.0728068i \(-0.976804\pi\)
0.619959 + 0.784634i \(0.287149\pi\)
\(72\) −0.267528 + 0.963550i −0.0315285 + 0.113555i
\(73\) 3.29561 3.12177i 0.385722 0.365375i −0.470129 0.882598i \(-0.655793\pi\)
0.855851 + 0.517222i \(0.173034\pi\)
\(74\) −0.714458 + 4.35800i −0.0830541 + 0.506608i
\(75\) −4.65265 + 1.56766i −0.537242 + 0.181018i
\(76\) −3.67774 + 0.399979i −0.421866 + 0.0458807i
\(77\) −0.875752 0.405166i −0.0998012 0.0461730i
\(78\) 0.206599 3.81050i 0.0233927 0.431454i
\(79\) −8.61555 + 6.54937i −0.969325 + 0.736862i −0.964761 0.263128i \(-0.915246\pi\)
−0.00456437 + 0.999990i \(0.501453\pi\)
\(80\) −0.218212 0.206702i −0.0243969 0.0231099i
\(81\) −0.856857 + 0.515554i −0.0952064 + 0.0572838i
\(82\) −5.51917 + 2.55344i −0.609491 + 0.281980i
\(83\) −2.75870 6.92381i −0.302807 0.759987i −0.999108 0.0422374i \(-0.986551\pi\)
0.696301 0.717750i \(-0.254828\pi\)
\(84\) 0.391802 0.577865i 0.0427492 0.0630503i
\(85\) 0.822628 + 1.21329i 0.0892266 + 0.131599i
\(86\) 0.535953 1.34514i 0.0577933 0.145050i
\(87\) −0.213976 3.94655i −0.0229406 0.423114i
\(88\) 0.894752 + 1.05338i 0.0953808 + 0.112291i
\(89\) −2.12020 2.49609i −0.224741 0.264585i 0.638223 0.769852i \(-0.279670\pi\)
−0.862963 + 0.505267i \(0.831394\pi\)
\(90\) −0.0162725 0.300129i −0.00171527 0.0316363i
\(91\) −0.986148 + 2.47505i −0.103376 + 0.259455i
\(92\) −1.90173 2.80484i −0.198269 0.292425i
\(93\) 0.125791 0.185528i 0.0130440 0.0192384i
\(94\) −1.36982 3.43798i −0.141286 0.354601i
\(95\) 1.00917 0.466890i 0.103538 0.0479019i
\(96\) −0.856857 + 0.515554i −0.0874526 + 0.0526185i
\(97\) 7.68744 + 7.28193i 0.780541 + 0.739368i 0.970154 0.242491i \(-0.0779645\pi\)
−0.189612 + 0.981859i \(0.560723\pi\)
\(98\) 5.18461 3.94123i 0.523724 0.398125i
\(99\) −0.0748253 + 1.38007i −0.00752023 + 0.138702i
\(100\) −4.45588 2.06151i −0.445588 0.206151i
\(101\) −9.31499 + 1.01307i −0.926876 + 0.100804i −0.559090 0.829107i \(-0.688849\pi\)
−0.367786 + 0.929911i \(0.619884\pi\)
\(102\) 4.62169 1.55723i 0.457615 0.154188i
\(103\) 2.61161 15.9301i 0.257330 1.56964i −0.469567 0.882897i \(-0.655590\pi\)
0.726897 0.686747i \(-0.240962\pi\)
\(104\) 2.77047 2.62432i 0.271666 0.257336i
\(105\) −0.0561402 + 0.202199i −0.00547873 + 0.0197326i
\(106\) −1.57066 + 2.96257i −0.152556 + 0.287751i
\(107\) −9.94798 3.35186i −0.961707 0.324037i −0.205711 0.978613i \(-0.565951\pi\)
−0.755996 + 0.654576i \(0.772847\pi\)
\(108\) −0.976621 0.214970i −0.0939754 0.0206855i
\(109\) 1.13265 + 4.07943i 0.108488 + 0.390739i 0.997780 0.0666019i \(-0.0212158\pi\)
−0.889292 + 0.457341i \(0.848802\pi\)
\(110\) −0.355953 0.214170i −0.0339388 0.0204203i
\(111\) −4.39029 0.477473i −0.416708 0.0453197i
\(112\) 0.681845 0.150085i 0.0644283 0.0141817i
\(113\) 7.18468 + 13.5517i 0.675878 + 1.27484i 0.949730 + 0.313069i \(0.101357\pi\)
−0.273852 + 0.961772i \(0.588298\pi\)
\(114\) −0.598501 3.65070i −0.0560548 0.341919i
\(115\) 0.810867 + 0.616405i 0.0756137 + 0.0574801i
\(116\) 2.55869 3.01233i 0.237569 0.279687i
\(117\) 3.81609 0.352798
\(118\) 7.09492 2.94315i 0.653140 0.270939i
\(119\) −3.40495 −0.312131
\(120\) 0.194585 0.229083i 0.0177631 0.0209123i
\(121\) −7.23633 5.50091i −0.657848 0.500083i
\(122\) −0.260579 1.58946i −0.0235918 0.143903i
\(123\) −2.84850 5.37284i −0.256840 0.484452i
\(124\) 0.218912 0.0481861i 0.0196589 0.00432724i
\(125\) 2.96108 + 0.322037i 0.264847 + 0.0288039i
\(126\) 0.598230 + 0.359943i 0.0532945 + 0.0320663i
\(127\) 2.02021 + 7.27615i 0.179265 + 0.645653i 0.997493 + 0.0707604i \(0.0225426\pi\)
−0.818229 + 0.574893i \(0.805044\pi\)
\(128\) −0.976621 0.214970i −0.0863219 0.0190009i
\(129\) 1.37218 + 0.462342i 0.120814 + 0.0407070i
\(130\) −0.537265 + 1.01339i −0.0471213 + 0.0888801i
\(131\) −1.06715 + 3.84354i −0.0932377 + 0.335812i −0.995427 0.0955293i \(-0.969546\pi\)
0.902189 + 0.431341i \(0.141959\pi\)
\(132\) −1.00340 + 0.950468i −0.0873345 + 0.0827277i
\(133\) −0.417854 + 2.54880i −0.0362325 + 0.221009i
\(134\) 1.54780 0.521515i 0.133710 0.0450520i
\(135\) 0.298808 0.0324973i 0.0257173 0.00279692i
\(136\) 4.42623 + 2.04779i 0.379546 + 0.175597i
\(137\) −0.315326 + 5.81585i −0.0269402 + 0.496882i 0.953663 + 0.300877i \(0.0972795\pi\)
−0.980603 + 0.196005i \(0.937203\pi\)
\(138\) 2.69777 2.05079i 0.229649 0.174575i
\(139\) 9.24845 + 8.76060i 0.784444 + 0.743064i 0.970922 0.239395i \(-0.0769489\pi\)
−0.186479 + 0.982459i \(0.559708\pi\)
\(140\) −0.179810 + 0.108188i −0.0151967 + 0.00914354i
\(141\) 3.35878 1.55394i 0.282860 0.130865i
\(142\) −2.51278 6.30661i −0.210868 0.529239i
\(143\) 2.95982 4.36541i 0.247513 0.365054i
\(144\) −0.561187 0.827689i −0.0467656 0.0689741i
\(145\) −0.439707 + 1.10358i −0.0365157 + 0.0916475i
\(146\) 0.245760 + 4.53278i 0.0203393 + 0.375136i
\(147\) 4.21614 + 4.96363i 0.347742 + 0.409393i
\(148\) −2.85897 3.36585i −0.235006 0.276671i
\(149\) 0.635626 + 11.7234i 0.0520725 + 0.960422i 0.901517 + 0.432744i \(0.142454\pi\)
−0.849444 + 0.527678i \(0.823063\pi\)
\(150\) 1.81725 4.56096i 0.148378 0.372401i
\(151\) 10.5275 + 15.5270i 0.856720 + 1.26357i 0.963074 + 0.269239i \(0.0867720\pi\)
−0.106354 + 0.994328i \(0.533918\pi\)
\(152\) 2.07607 3.06198i 0.168392 0.248359i
\(153\) 1.80516 + 4.53060i 0.145938 + 0.366277i
\(154\) 0.875752 0.405166i 0.0705701 0.0326492i
\(155\) −0.0577294 + 0.0347346i −0.00463693 + 0.00278995i
\(156\) 2.77047 + 2.62432i 0.221815 + 0.210114i
\(157\) 7.84280 5.96194i 0.625923 0.475815i −0.243488 0.969904i \(-0.578292\pi\)
0.869411 + 0.494089i \(0.164498\pi\)
\(158\) 0.585907 10.8064i 0.0466123 0.859713i
\(159\) −3.04326 1.40796i −0.241346 0.111659i
\(160\) 0.298808 0.0324973i 0.0236228 0.00256914i
\(161\) −2.24207 + 0.755442i −0.176700 + 0.0595372i
\(162\) 0.161782 0.986827i 0.0127108 0.0775324i
\(163\) 2.53053 2.39704i 0.198206 0.187751i −0.582159 0.813075i \(-0.697792\pi\)
0.780365 + 0.625324i \(0.215033\pi\)
\(164\) 1.62690 5.85957i 0.127040 0.457555i
\(165\) 0.194585 0.367026i 0.0151484 0.0285729i
\(166\) 7.06301 + 2.37981i 0.548196 + 0.184709i
\(167\) −5.37592 1.18333i −0.416002 0.0915689i 0.00203752 0.999998i \(-0.499351\pi\)
−0.418039 + 0.908429i \(0.637282\pi\)
\(168\) 0.186780 + 0.672719i 0.0144104 + 0.0519014i
\(169\) −1.33889 0.805581i −0.102991 0.0619678i
\(170\) −1.45728 0.158489i −0.111768 0.0121555i
\(171\) 3.61294 0.795268i 0.276288 0.0608157i
\(172\) 0.678246 + 1.27931i 0.0517158 + 0.0975463i
\(173\) −0.859232 5.24109i −0.0653262 0.398472i −0.999168 0.0407857i \(-0.987014\pi\)
0.933842 0.357687i \(-0.116434\pi\)
\(174\) 3.14643 + 2.39186i 0.238530 + 0.181326i
\(175\) −2.21909 + 2.61251i −0.167747 + 0.197487i
\(176\) −1.38210 −0.104180
\(177\) 3.32295 + 6.92517i 0.249768 + 0.520528i
\(178\) 3.27501 0.245473
\(179\) 9.28078 10.9262i 0.693678 0.816661i −0.296712 0.954967i \(-0.595890\pi\)
0.990389 + 0.138306i \(0.0441659\pi\)
\(180\) 0.239281 + 0.181897i 0.0178350 + 0.0135578i
\(181\) 0.754642 + 4.60311i 0.0560921 + 0.342147i 0.999931 + 0.0117408i \(0.00373730\pi\)
−0.943839 + 0.330406i \(0.892814\pi\)
\(182\) −1.24797 2.35391i −0.0925054 0.174484i
\(183\) 1.57303 0.346249i 0.116281 0.0255955i
\(184\) 3.36889 + 0.366389i 0.248358 + 0.0270106i
\(185\) 1.13737 + 0.684330i 0.0836208 + 0.0503130i
\(186\) 0.0599671 + 0.215982i 0.00439700 + 0.0158366i
\(187\) 6.58288 + 1.44900i 0.481388 + 0.105961i
\(188\) 3.50710 + 1.18168i 0.255782 + 0.0861829i
\(189\) −0.327027 + 0.616839i −0.0237877 + 0.0448685i
\(190\) −0.297474 + 1.07141i −0.0215811 + 0.0777279i
\(191\) −10.3276 + 9.78281i −0.747278 + 0.707859i −0.963270 0.268536i \(-0.913460\pi\)
0.215992 + 0.976395i \(0.430702\pi\)
\(192\) 0.161782 0.986827i 0.0116756 0.0712181i
\(193\) 18.7261 6.30954i 1.34793 0.454171i 0.449498 0.893281i \(-0.351603\pi\)
0.898433 + 0.439111i \(0.144706\pi\)
\(194\) −10.5268 + 1.14485i −0.755777 + 0.0821957i
\(195\) −1.04099 0.481613i −0.0745468 0.0344890i
\(196\) −0.352583 + 6.50301i −0.0251845 + 0.464501i
\(197\) 1.45090 1.10294i 0.103372 0.0785816i −0.552211 0.833704i \(-0.686216\pi\)
0.655584 + 0.755123i \(0.272423\pi\)
\(198\) −1.00340 0.950468i −0.0713083 0.0675468i
\(199\) −5.12568 + 3.08402i −0.363349 + 0.218620i −0.685507 0.728066i \(-0.740419\pi\)
0.322158 + 0.946686i \(0.395592\pi\)
\(200\) 4.45588 2.06151i 0.315079 0.145771i
\(201\) 0.604546 + 1.51730i 0.0426414 + 0.107022i
\(202\) 5.25827 7.75537i 0.369971 0.545666i
\(203\) −1.54854 2.28392i −0.108686 0.160300i
\(204\) −1.80516 + 4.53060i −0.126386 + 0.317206i
\(205\) 0.0989568 + 1.82515i 0.00691144 + 0.127474i
\(206\) 10.4506 + 12.3034i 0.728130 + 0.857221i
\(207\) 2.19384 + 2.58278i 0.152482 + 0.179516i
\(208\) 0.206599 + 3.81050i 0.0143251 + 0.264210i
\(209\) 1.89251 4.74984i 0.130907 0.328553i
\(210\) −0.117764 0.173689i −0.00812648 0.0119857i
\(211\) 11.8455 17.4707i 0.815475 1.20274i −0.160968 0.986960i \(-0.551462\pi\)
0.976443 0.215776i \(-0.0692281\pi\)
\(212\) −1.24114 3.11502i −0.0852418 0.213941i
\(213\) 6.16132 2.85053i 0.422167 0.195315i
\(214\) 8.99485 5.41202i 0.614875 0.369958i
\(215\) −0.315967 0.299300i −0.0215488 0.0204121i
\(216\) 0.796093 0.605174i 0.0541673 0.0411769i
\(217\) 0.00847251 0.156266i 0.000575152 0.0106080i
\(218\) −3.84245 1.77771i −0.260244 0.120402i
\(219\) −4.51283 + 0.490799i −0.304949 + 0.0331652i
\(220\) 0.393671 0.132643i 0.0265413 0.00894280i
\(221\) 3.01093 18.3658i 0.202537 1.23542i
\(222\) 3.20613 3.03700i 0.215181 0.203830i
\(223\) −0.834067 + 3.00404i −0.0558533 + 0.201165i −0.986212 0.165484i \(-0.947081\pi\)
0.930359 + 0.366649i \(0.119495\pi\)
\(224\) −0.327027 + 0.616839i −0.0218504 + 0.0412143i
\(225\) 4.65265 + 1.56766i 0.310177 + 0.104511i
\(226\) −14.9799 3.29732i −0.996448 0.219335i
\(227\) 0.410343 + 1.47792i 0.0272354 + 0.0980930i 0.975919 0.218135i \(-0.0699973\pi\)
−0.948683 + 0.316228i \(0.897584\pi\)
\(228\) 3.16988 + 1.90726i 0.209931 + 0.126311i
\(229\) −16.4332 1.78722i −1.08594 0.118103i −0.452400 0.891815i \(-0.649432\pi\)
−0.633537 + 0.773712i \(0.718398\pi\)
\(230\) −0.994745 + 0.218960i −0.0655915 + 0.0144378i
\(231\) 0.451984 + 0.852532i 0.0297384 + 0.0560925i
\(232\) 0.639418 + 3.90028i 0.0419798 + 0.256066i
\(233\) −14.8072 11.2561i −0.970050 0.737413i −0.00513827 0.999987i \(-0.501636\pi\)
−0.964912 + 0.262574i \(0.915429\pi\)
\(234\) −2.47049 + 2.90848i −0.161501 + 0.190133i
\(235\) −1.11236 −0.0725621
\(236\) −2.34999 + 7.31283i −0.152972 + 0.476025i
\(237\) 10.8223 0.702984
\(238\) 2.20432 2.59512i 0.142885 0.168217i
\(239\) −21.2261 16.1356i −1.37300 1.04373i −0.992922 0.118772i \(-0.962104\pi\)
−0.380078 0.924955i \(-0.624103\pi\)
\(240\) 0.0486267 + 0.296610i 0.00313884 + 0.0191461i
\(241\) −1.41029 2.66009i −0.0908448 0.171351i 0.833926 0.551877i \(-0.186088\pi\)
−0.924771 + 0.380525i \(0.875743\pi\)
\(242\) 8.87729 1.95404i 0.570654 0.125610i
\(243\) 0.994138 + 0.108119i 0.0637740 + 0.00693584i
\(244\) 1.38012 + 0.830394i 0.0883534 + 0.0531605i
\(245\) −0.523681 1.88613i −0.0334567 0.120500i
\(246\) 5.93905 + 1.30728i 0.378660 + 0.0833494i
\(247\) −13.3784 4.50770i −0.851245 0.286818i
\(248\) −0.104995 + 0.198041i −0.00666718 + 0.0125756i
\(249\) −1.99393 + 7.18149i −0.126360 + 0.455109i
\(250\) −2.16241 + 2.04834i −0.136763 + 0.129548i
\(251\) 0.0789541 0.481599i 0.00498354 0.0303982i −0.984218 0.176962i \(-0.943373\pi\)
0.989201 + 0.146564i \(0.0468213\pi\)
\(252\) −0.661620 + 0.222926i −0.0416782 + 0.0140430i
\(253\) 4.65614 0.506386i 0.292729 0.0318362i
\(254\) −6.85346 3.17075i −0.430024 0.198950i
\(255\) 0.0793607 1.46372i 0.00496976 0.0916618i
\(256\) 0.796093 0.605174i 0.0497558 0.0378234i
\(257\) 22.0575 + 20.8940i 1.37591 + 1.30333i 0.907641 + 0.419747i \(0.137881\pi\)
0.468270 + 0.883585i \(0.344877\pi\)
\(258\) −1.24071 + 0.746512i −0.0772434 + 0.0464758i
\(259\) −2.79827 + 1.29462i −0.173876 + 0.0804435i
\(260\) −0.424549 1.06554i −0.0263294 0.0660818i
\(261\) −2.21800 + 3.27131i −0.137291 + 0.202489i
\(262\) −2.23854 3.30160i −0.138297 0.203974i
\(263\) −7.79692 + 19.5688i −0.480779 + 1.20666i 0.466001 + 0.884784i \(0.345694\pi\)
−0.946780 + 0.321880i \(0.895685\pi\)
\(264\) −0.0748253 1.38007i −0.00460518 0.0849375i
\(265\) 0.652477 + 0.768155i 0.0400813 + 0.0471874i
\(266\) −1.67208 1.96853i −0.102522 0.120698i
\(267\) 0.177306 + 3.27021i 0.0108509 + 0.200134i
\(268\) −0.604546 + 1.51730i −0.0369285 + 0.0926836i
\(269\) −8.48992 12.5217i −0.517639 0.763461i 0.475586 0.879669i \(-0.342236\pi\)
−0.993225 + 0.116209i \(0.962926\pi\)
\(270\) −0.168676 + 0.248778i −0.0102653 + 0.0151402i
\(271\) 6.44960 + 16.1873i 0.391786 + 0.983308i 0.984102 + 0.177602i \(0.0568341\pi\)
−0.592317 + 0.805705i \(0.701787\pi\)
\(272\) −4.42623 + 2.04779i −0.268379 + 0.124166i
\(273\) 2.28290 1.37357i 0.138167 0.0831325i
\(274\) −4.22849 4.00543i −0.255452 0.241977i
\(275\) 5.40199 4.10649i 0.325752 0.247631i
\(276\) −0.183464 + 3.38379i −0.0110432 + 0.203680i
\(277\) −9.03613 4.18056i −0.542928 0.251185i 0.129202 0.991618i \(-0.458758\pi\)
−0.672130 + 0.740433i \(0.734620\pi\)
\(278\) −12.6643 + 1.37733i −0.759555 + 0.0826066i
\(279\) −0.212419 + 0.0715722i −0.0127172 + 0.00428491i
\(280\) 0.0339496 0.207083i 0.00202888 0.0123756i
\(281\) −16.7807 + 15.8955i −1.00105 + 0.948246i −0.998660 0.0517516i \(-0.983520\pi\)
−0.00239070 + 0.999997i \(0.500761\pi\)
\(282\) −0.990076 + 3.56593i −0.0589582 + 0.212348i
\(283\) 12.9362 24.4003i 0.768979 1.45045i −0.120133 0.992758i \(-0.538332\pi\)
0.889112 0.457690i \(-0.151323\pi\)
\(284\) 6.43340 + 2.16767i 0.381752 + 0.128627i
\(285\) −1.08594 0.239033i −0.0643255 0.0141591i
\(286\) 1.41100 + 5.08197i 0.0834343 + 0.300503i
\(287\) −3.63797 2.18889i −0.214743 0.129206i
\(288\) 0.994138 + 0.108119i 0.0585801 + 0.00637097i
\(289\) 6.62631 1.45856i 0.389783 0.0857977i
\(290\) −0.556448 1.04957i −0.0326757 0.0616330i
\(291\) −1.71308 10.4493i −0.100423 0.612551i
\(292\) −3.61381 2.74715i −0.211482 0.160765i
\(293\) 2.01659 2.37411i 0.117810 0.138697i −0.700095 0.714049i \(-0.746859\pi\)
0.817906 + 0.575352i \(0.195135\pi\)
\(294\) −6.51256 −0.379820
\(295\) −0.0324676 2.30849i −0.00189034 0.134406i
\(296\) 4.41618 0.256685
\(297\) 0.894752 1.05338i 0.0519188 0.0611235i
\(298\) −9.34666 7.10514i −0.541437 0.411590i
\(299\) −2.09213 12.7615i −0.120991 0.738014i
\(300\) 2.29973 + 4.33774i 0.132775 + 0.250440i
\(301\) 0.987297 0.217321i 0.0569069 0.0125261i
\(302\) −18.6495 2.02825i −1.07316 0.116713i
\(303\) 8.02868 + 4.83069i 0.461235 + 0.277516i
\(304\) 0.989702 + 3.56459i 0.0567633 + 0.204443i
\(305\) −0.472804 0.104072i −0.0270727 0.00595914i
\(306\) −4.62169 1.55723i −0.264204 0.0890208i
\(307\) −2.45034 + 4.62183i −0.139848 + 0.263782i −0.943536 0.331269i \(-0.892523\pi\)
0.803688 + 0.595051i \(0.202868\pi\)
\(308\) −0.258148 + 0.929764i −0.0147093 + 0.0529782i
\(309\) −11.7196 + 11.1014i −0.666705 + 0.631536i
\(310\) 0.0108998 0.0664858i 0.000619067 0.00377614i
\(311\) 1.74740 0.588768i 0.0990860 0.0333860i −0.269322 0.963050i \(-0.586800\pi\)
0.368408 + 0.929664i \(0.379903\pi\)
\(312\) −3.79372 + 0.412592i −0.214777 + 0.0233584i
\(313\) −7.39199 3.41990i −0.417820 0.193304i 0.199704 0.979856i \(-0.436002\pi\)
−0.617524 + 0.786552i \(0.711864\pi\)
\(314\) −0.533355 + 9.83716i −0.0300990 + 0.555143i
\(315\) 0.167058 0.126995i 0.00941268 0.00715533i
\(316\) 7.85694 + 7.44249i 0.441987 + 0.418673i
\(317\) −0.244683 + 0.147221i −0.0137428 + 0.00826875i −0.522409 0.852695i \(-0.674966\pi\)
0.508666 + 0.860964i \(0.330139\pi\)
\(318\) 3.04326 1.40796i 0.170658 0.0789546i
\(319\) 2.02189 + 5.07456i 0.113204 + 0.284121i
\(320\) −0.168676 + 0.248778i −0.00942926 + 0.0139071i
\(321\) 5.89106 + 8.68866i 0.328807 + 0.484954i
\(322\) 0.875718 2.19789i 0.0488018 0.122483i
\(323\) −0.976777 18.0156i −0.0543493 1.00241i
\(324\) 0.647386 + 0.762162i 0.0359659 + 0.0423423i
\(325\) −12.1292 14.2796i −0.672809 0.792092i
\(326\) 0.188706 + 3.48048i 0.0104515 + 0.192766i
\(327\) 1.56707 3.93306i 0.0866594 0.217499i
\(328\) 3.41271 + 5.03336i 0.188435 + 0.277921i
\(329\) 1.44999 2.13858i 0.0799407 0.117904i
\(330\) 0.153762 + 0.385912i 0.00846430 + 0.0212438i
\(331\) −25.8177 + 11.9445i −1.41907 + 0.656531i −0.971352 0.237644i \(-0.923625\pi\)
−0.447717 + 0.894176i \(0.647763\pi\)
\(332\) −6.38630 + 3.84251i −0.350493 + 0.210885i
\(333\) 3.20613 + 3.03700i 0.175695 + 0.166427i
\(334\) 4.38219 3.33125i 0.239783 0.182278i
\(335\) 0.0265779 0.490200i 0.00145210 0.0267825i
\(336\) −0.633639 0.293153i −0.0345679 0.0159928i
\(337\) −27.0069 + 2.93718i −1.47116 + 0.159998i −0.808311 0.588755i \(-0.799618\pi\)
−0.662848 + 0.748754i \(0.730653\pi\)
\(338\) 1.48076 0.498926i 0.0805428 0.0271380i
\(339\) 2.48149 15.1364i 0.134776 0.822098i
\(340\) 1.06422 1.00808i 0.0577152 0.0546708i
\(341\) −0.0828804 + 0.298508i −0.00448823 + 0.0161651i
\(342\) −1.73284 + 3.26849i −0.0937015 + 0.176740i
\(343\) 8.94019 + 3.01230i 0.482725 + 0.162649i
\(344\) −1.41413 0.311273i −0.0762446 0.0167827i
\(345\) −0.272493 0.981431i −0.0146705 0.0528385i
\(346\) 4.55081 + 2.73813i 0.244653 + 0.147203i
\(347\) 3.17961 + 0.345804i 0.170691 + 0.0185637i 0.193065 0.981186i \(-0.438157\pi\)
−0.0223746 + 0.999750i \(0.507123\pi\)
\(348\) −3.85994 + 0.849637i −0.206914 + 0.0455453i
\(349\) 4.42520 + 8.34681i 0.236875 + 0.446794i 0.973240 0.229790i \(-0.0738041\pi\)
−0.736365 + 0.676585i \(0.763459\pi\)
\(350\) −0.554550 3.38261i −0.0296420 0.180808i
\(351\) −3.03796 2.30940i −0.162155 0.123267i
\(352\) 0.894752 1.05338i 0.0476904 0.0561455i
\(353\) −19.3797 −1.03148 −0.515740 0.856745i \(-0.672483\pi\)
−0.515740 + 0.856745i \(0.672483\pi\)
\(354\) −7.42933 1.95064i −0.394865 0.103675i
\(355\) −2.04050 −0.108298
\(356\) −2.12020 + 2.49609i −0.112370 + 0.132293i
\(357\) 2.71066 + 2.06059i 0.143463 + 0.109058i
\(358\) 2.31927 + 14.1469i 0.122577 + 0.747688i
\(359\) 3.05653 + 5.76523i 0.161318 + 0.304277i 0.950973 0.309273i \(-0.100086\pi\)
−0.789656 + 0.613550i \(0.789741\pi\)
\(360\) −0.293542 + 0.0646136i −0.0154710 + 0.00340543i
\(361\) 5.28307 + 0.574568i 0.278056 + 0.0302404i
\(362\) −3.99686 2.40483i −0.210070 0.126395i
\(363\) 2.43178 + 8.75848i 0.127635 + 0.459701i
\(364\) 2.60198 + 0.572739i 0.136381 + 0.0300197i
\(365\) 1.29299 + 0.435660i 0.0676784 + 0.0228035i
\(366\) −0.754457 + 1.42306i −0.0394361 + 0.0743844i
\(367\) −8.28291 + 29.8323i −0.432364 + 1.55723i 0.351430 + 0.936214i \(0.385696\pi\)
−0.783794 + 0.621021i \(0.786718\pi\)
\(368\) −2.46022 + 2.33045i −0.128248 + 0.121483i
\(369\) −0.983833 + 6.00112i −0.0512163 + 0.312406i
\(370\) −1.25789 + 0.423831i −0.0653944 + 0.0220339i
\(371\) −2.32736 + 0.253115i −0.120830 + 0.0131411i
\(372\) −0.203435 0.0941191i −0.0105476 0.00487985i
\(373\) 1.35663 25.0216i 0.0702437 1.29557i −0.724776 0.688985i \(-0.758057\pi\)
0.795019 0.606584i \(-0.207461\pi\)
\(374\) −5.36604 + 4.07916i −0.277471 + 0.210928i
\(375\) −2.16241 2.04834i −0.111666 0.105776i
\(376\) −3.17108 + 1.90798i −0.163536 + 0.0983963i
\(377\) 13.6885 6.33298i 0.704994 0.326165i
\(378\) −0.258418 0.648581i −0.0132916 0.0333594i
\(379\) 5.21568 7.69255i 0.267911 0.395140i −0.669808 0.742535i \(-0.733623\pi\)
0.937719 + 0.347395i \(0.112934\pi\)
\(380\) −0.624004 0.920337i −0.0320107 0.0472123i
\(381\) 2.79506 7.01507i 0.143195 0.359393i
\(382\) −0.770148 14.2046i −0.0394042 0.726768i
\(383\) 13.8164 + 16.2659i 0.705985 + 0.831149i 0.991889 0.127109i \(-0.0405698\pi\)
−0.285904 + 0.958258i \(0.592294\pi\)
\(384\) 0.647386 + 0.762162i 0.0330368 + 0.0388939i
\(385\) −0.0157019 0.289605i −0.000800244 0.0147596i
\(386\) −7.31410 + 18.3570i −0.372278 + 0.934347i
\(387\) −0.812588 1.19848i −0.0413062 0.0609220i
\(388\) 5.94231 8.76426i 0.301675 0.444938i
\(389\) 10.5518 + 26.4829i 0.534996 + 1.34274i 0.909574 + 0.415542i \(0.136408\pi\)
−0.374578 + 0.927195i \(0.622213\pi\)
\(390\) 1.04099 0.481613i 0.0527126 0.0243874i
\(391\) 14.1612 8.52051i 0.716163 0.430901i
\(392\) −4.72809 4.47869i −0.238805 0.226208i
\(393\) 3.17557 2.41400i 0.160186 0.121770i
\(394\) −0.0986695 + 1.81985i −0.00497090 + 0.0916828i
\(395\) −2.95221 1.36584i −0.148542 0.0687227i
\(396\) 1.37400 0.149431i 0.0690459 0.00750920i
\(397\) −35.5315 + 11.9720i −1.78327 + 0.600855i −0.999789 0.0205549i \(-0.993457\pi\)
−0.783486 + 0.621410i \(0.786560\pi\)
\(398\) 0.967771 5.90314i 0.0485100 0.295898i
\(399\) 1.87512 1.77620i 0.0938732 0.0889214i
\(400\) −1.31347 + 4.73070i −0.0656736 + 0.236535i
\(401\) −11.3475 + 21.4036i −0.566666 + 1.06885i 0.420219 + 0.907423i \(0.361953\pi\)
−0.986885 + 0.161423i \(0.948392\pi\)
\(402\) −1.54780 0.521515i −0.0771973 0.0260108i
\(403\) 0.835387 + 0.183883i 0.0416136 + 0.00915985i
\(404\) 2.50672 + 9.02838i 0.124714 + 0.449179i
\(405\) −0.257545 0.154960i −0.0127975 0.00770001i
\(406\) 2.74322 + 0.298343i 0.136144 + 0.0148065i
\(407\) 5.96090 1.31209i 0.295471 0.0650380i
\(408\) −2.28442 4.30887i −0.113096 0.213321i
\(409\) −2.09359 12.7703i −0.103521 0.631453i −0.986717 0.162448i \(-0.948061\pi\)
0.883196 0.469005i \(-0.155387\pi\)
\(410\) −1.45512 1.10616i −0.0718635 0.0546292i
\(411\) 3.77063 4.43913i 0.185992 0.218966i
\(412\) −16.1428 −0.795299
\(413\) 4.48055 + 2.94677i 0.220474 + 0.145001i
\(414\) −3.38876 −0.166548
\(415\) 1.45027 1.70739i 0.0711910 0.0838125i
\(416\) −3.03796 2.30940i −0.148948 0.113228i
\(417\) −2.06094 12.5712i −0.100925 0.615613i
\(418\) 2.39496 + 4.51738i 0.117141 + 0.220952i
\(419\) 16.5220 3.63677i 0.807154 0.177668i 0.207820 0.978167i \(-0.433363\pi\)
0.599334 + 0.800499i \(0.295432\pi\)
\(420\) 0.208618 + 0.0226885i 0.0101795 + 0.00110709i
\(421\) −7.37008 4.43443i −0.359196 0.216121i 0.324504 0.945884i \(-0.394803\pi\)
−0.683700 + 0.729764i \(0.739630\pi\)
\(422\) 5.64695 + 20.3385i 0.274889 + 0.990062i
\(423\) −3.61430 0.795568i −0.175733 0.0386819i
\(424\) 3.17765 + 1.07067i 0.154320 + 0.0519966i
\(425\) 11.2157 21.1551i 0.544042 1.02617i
\(426\) −1.81619 + 6.54132i −0.0879947 + 0.316928i
\(427\) 0.816401 0.773336i 0.0395084 0.0374243i
\(428\) −1.69830 + 10.3592i −0.0820907 + 0.500731i
\(429\) −4.99813 + 1.68406i −0.241312 + 0.0813074i
\(430\) 0.432667 0.0470554i 0.0208651 0.00226921i
\(431\) 13.3927 + 6.19614i 0.645105 + 0.298457i 0.715029 0.699095i \(-0.246414\pi\)
−0.0699237 + 0.997552i \(0.522276\pi\)
\(432\) −0.0541389 + 0.998533i −0.00260476 + 0.0480420i
\(433\) 18.9795 14.4278i 0.912096 0.693357i −0.0399863 0.999200i \(-0.512731\pi\)
0.952082 + 0.305843i \(0.0989383\pi\)
\(434\) 0.113615 + 0.107622i 0.00545371 + 0.00516603i
\(435\) 1.01791 0.612454i 0.0488049 0.0293649i
\(436\) 3.84245 1.77771i 0.184020 0.0851367i
\(437\) −4.64023 11.6461i −0.221972 0.557108i
\(438\) 2.54747 3.75724i 0.121723 0.179528i
\(439\) 22.0091 + 32.4611i 1.05044 + 1.54928i 0.816768 + 0.576967i \(0.195764\pi\)
0.233672 + 0.972316i \(0.424926\pi\)
\(440\) −0.153762 + 0.385912i −0.00733030 + 0.0183977i
\(441\) −0.352583 6.50301i −0.0167897 0.309667i
\(442\) 12.0485 + 14.1846i 0.573089 + 0.674693i
\(443\) −13.8131 16.2621i −0.656282 0.772635i 0.328859 0.944379i \(-0.393336\pi\)
−0.985142 + 0.171744i \(0.945060\pi\)
\(444\) 0.239087 + 4.40970i 0.0113466 + 0.209275i
\(445\) 0.364353 0.914457i 0.0172720 0.0433494i
\(446\) −1.74960 2.58047i −0.0828460 0.122189i
\(447\) 6.58871 9.71761i 0.311635 0.459627i
\(448\) −0.258418 0.648581i −0.0122091 0.0306426i
\(449\) 11.5998 5.36663i 0.547428 0.253267i −0.126625 0.991951i \(-0.540414\pi\)
0.674052 + 0.738684i \(0.264552\pi\)
\(450\) −4.20688 + 2.53119i −0.198314 + 0.119322i
\(451\) 6.10189 + 5.78001i 0.287327 + 0.272170i
\(452\) 12.2109 9.28246i 0.574351 0.436610i
\(453\) 1.01561 18.7319i 0.0477177 0.880102i
\(454\) −1.39206 0.644038i −0.0653328 0.0302262i
\(455\) −0.796104 + 0.0865816i −0.0373219 + 0.00405901i
\(456\) −3.50578 + 1.18123i −0.164173 + 0.0553163i
\(457\) 2.66782 16.2730i 0.124796 0.761219i −0.848076 0.529874i \(-0.822239\pi\)
0.972872 0.231345i \(-0.0743126\pi\)
\(458\) 12.0008 11.3678i 0.560760 0.531180i
\(459\) 1.30473 4.69921i 0.0608996 0.219341i
\(460\) 0.477101 0.899908i 0.0222450 0.0419584i
\(461\) 15.8671 + 5.34626i 0.739006 + 0.249000i 0.663532 0.748148i \(-0.269056\pi\)
0.0754740 + 0.997148i \(0.475953\pi\)
\(462\) −0.942376 0.207433i −0.0438433 0.00965064i
\(463\) 4.17617 + 15.0412i 0.194083 + 0.699023i 0.994967 + 0.100204i \(0.0319495\pi\)
−0.800884 + 0.598820i \(0.795637\pi\)
\(464\) −3.38659 2.03765i −0.157219 0.0945953i
\(465\) 0.0669784 + 0.00728434i 0.00310605 + 0.000337803i
\(466\) 18.1649 3.99841i 0.841475 0.185223i
\(467\) 4.97240 + 9.37895i 0.230095 + 0.434006i 0.971496 0.237057i \(-0.0761828\pi\)
−0.741400 + 0.671063i \(0.765838\pi\)
\(468\) −0.617375 3.76582i −0.0285382 0.174075i
\(469\) 0.907797 + 0.690090i 0.0419182 + 0.0318654i
\(470\) 0.720124 0.847796i 0.0332168 0.0391059i
\(471\) −9.85161 −0.453938
\(472\) −4.05221 6.52530i −0.186518 0.300351i
\(473\) −2.00125 −0.0920176
\(474\) −7.00620 + 8.24834i −0.321806 + 0.378859i
\(475\) −14.4594 10.9917i −0.663442 0.504336i
\(476\) 0.550859 + 3.36009i 0.0252486 + 0.154010i
\(477\) 1.57066 + 2.96257i 0.0719154 + 0.135647i
\(478\) 26.0394 5.73171i 1.19102 0.262162i
\(479\) 4.30239 + 0.467913i 0.196581 + 0.0213795i 0.205880 0.978577i \(-0.433994\pi\)
−0.00929874 + 0.999957i \(0.502960\pi\)
\(480\) −0.257545 0.154960i −0.0117553 0.00707291i
\(481\) −4.50853 16.2383i −0.205571 0.740402i
\(482\) 2.94042 + 0.647236i 0.133933 + 0.0294808i
\(483\) 2.24207 + 0.755442i 0.102018 + 0.0343738i
\(484\) −4.25774 + 8.03095i −0.193534 + 0.365043i
\(485\) −0.851457 + 3.06667i −0.0386627 + 0.139250i
\(486\) −0.725995 + 0.687699i −0.0329318 + 0.0311947i
\(487\) −3.32077 + 20.2558i −0.150479 + 0.917879i 0.798375 + 0.602161i \(0.205694\pi\)
−0.948853 + 0.315718i \(0.897755\pi\)
\(488\) −1.52637 + 0.514293i −0.0690954 + 0.0232810i
\(489\) −3.46516 + 0.376859i −0.156700 + 0.0170422i
\(490\) 1.77656 + 0.821924i 0.0802568 + 0.0371307i
\(491\) 0.780394 14.3935i 0.0352187 0.649571i −0.926628 0.375980i \(-0.877306\pi\)
0.961846 0.273590i \(-0.0882112\pi\)
\(492\) −4.84122 + 3.68020i −0.218259 + 0.165916i
\(493\) 13.9939 + 13.2558i 0.630255 + 0.597009i
\(494\) 12.0966 7.27826i 0.544250 0.327464i
\(495\) −0.377022 + 0.174429i −0.0169459 + 0.00784000i
\(496\) −0.0829673 0.208232i −0.00372534 0.00934991i
\(497\) 2.65986 3.92300i 0.119311 0.175970i
\(498\) −4.18262 6.16890i −0.187428 0.276435i
\(499\) −10.4460 + 26.2174i −0.467625 + 1.17365i 0.486350 + 0.873764i \(0.338328\pi\)
−0.953975 + 0.299886i \(0.903051\pi\)
\(500\) −0.161255 2.97417i −0.00721154 0.133009i
\(501\) 3.56361 + 4.19541i 0.159211 + 0.187437i
\(502\) 0.315942 + 0.371956i 0.0141012 + 0.0166012i
\(503\) −0.977448 18.0280i −0.0435823 0.803828i −0.935867 0.352354i \(-0.885381\pi\)
0.892284 0.451474i \(-0.149101\pi\)
\(504\) 0.258418 0.648581i 0.0115109 0.0288901i
\(505\) −1.58048 2.33103i −0.0703303 0.103729i
\(506\) −2.62837 + 3.87656i −0.116846 + 0.172334i
\(507\) 0.578361 + 1.45158i 0.0256859 + 0.0644668i
\(508\) 6.85346 3.17075i 0.304073 0.140679i
\(509\) 25.3547 15.2554i 1.12383 0.676185i 0.172698 0.984975i \(-0.444751\pi\)
0.951130 + 0.308789i \(0.0999238\pi\)
\(510\) 1.06422 + 1.00808i 0.0471243 + 0.0446385i
\(511\) −2.52305 + 1.91797i −0.111613 + 0.0848460i
\(512\) −0.0541389 + 0.998533i −0.00239262 + 0.0441294i
\(513\) −3.35751 1.55335i −0.148238 0.0685821i
\(514\) −30.2044 + 3.28492i −1.33226 + 0.144892i
\(515\) 4.59805 1.54926i 0.202614 0.0682686i
\(516\) 0.234257 1.42891i 0.0103126 0.0629040i
\(517\) −3.71340 + 3.51752i −0.163315 + 0.154700i
\(518\) 0.824852 2.97085i 0.0362419 0.130532i
\(519\) −2.48774 + 4.69238i −0.109200 + 0.205972i
\(520\) 1.08696 + 0.366239i 0.0476663 + 0.0160607i
\(521\) −6.59247 1.45111i −0.288821 0.0635744i 0.0681966 0.997672i \(-0.478276\pi\)
−0.357018 + 0.934097i \(0.616207\pi\)
\(522\) −1.05736 3.80828i −0.0462796 0.166684i
\(523\) −24.8169 14.9318i −1.08517 0.652923i −0.143561 0.989641i \(-0.545855\pi\)
−0.941605 + 0.336718i \(0.890683\pi\)
\(524\) 3.96555 + 0.431280i 0.173236 + 0.0188406i
\(525\) 3.34762 0.736868i 0.146102 0.0321595i
\(526\) −9.86698 18.6111i −0.430221 0.811482i
\(527\) 0.176858 + 1.07879i 0.00770405 + 0.0469926i
\(528\) 1.10028 + 0.836410i 0.0478835 + 0.0364001i
\(529\) −7.45550 + 8.77730i −0.324152 + 0.381622i
\(530\) −1.00786 −0.0437788
\(531\) 1.54556 7.52404i 0.0670716 0.326516i
\(532\) 2.58282 0.111979
\(533\) 15.0236 17.6871i 0.650744 0.766115i
\(534\) −2.60722 1.98195i −0.112825 0.0857676i
\(535\) −0.510459 3.11366i −0.0220691 0.134615i
\(536\) −0.765051 1.44304i −0.0330452 0.0623298i
\(537\) −14.0006 + 3.08177i −0.604171 + 0.132988i
\(538\) 15.0398 + 1.63568i 0.648412 + 0.0705191i
\(539\) −7.71257 4.64050i −0.332204 0.199881i
\(540\) −0.0804109 0.289614i −0.00346033 0.0124630i
\(541\) −37.3663 8.22495i −1.60650 0.353618i −0.680978 0.732304i \(-0.738445\pi\)
−0.925525 + 0.378686i \(0.876376\pi\)
\(542\) −16.5127 5.56378i −0.709282 0.238985i
\(543\) 2.18492 4.12119i 0.0937638 0.176857i
\(544\) 1.30473 4.69921i 0.0559399 0.201477i
\(545\) −0.923857 + 0.875123i −0.0395737 + 0.0374862i
\(546\) −0.431031 + 2.62917i −0.0184464 + 0.112518i
\(547\) 20.8992 7.04176i 0.893585 0.301084i 0.165207 0.986259i \(-0.447171\pi\)
0.728378 + 0.685175i \(0.240274\pi\)
\(548\) 5.79025 0.629728i 0.247347 0.0269006i
\(549\) −1.46182 0.676308i −0.0623888 0.0288641i
\(550\) −0.367367 + 6.77568i −0.0156646 + 0.288916i
\(551\) 11.6400 8.84850i 0.495881 0.376959i
\(552\) −2.46022 2.33045i −0.104714 0.0991904i
\(553\) 6.47422 3.89541i 0.275312 0.165650i
\(554\) 9.03613 4.18056i 0.383908 0.177615i
\(555\) −0.491310 1.23310i −0.0208550 0.0523420i
\(556\) 7.14896 10.5439i 0.303183 0.447162i
\(557\) 14.7240 + 21.7162i 0.623874 + 0.920145i 0.999979 0.00643177i \(-0.00204731\pi\)
−0.376105 + 0.926577i \(0.622737\pi\)
\(558\) 0.0829673 0.208232i 0.00351229 0.00881518i
\(559\) 0.299151 + 5.51752i 0.0126528 + 0.233366i
\(560\) 0.135853 + 0.159938i 0.00574082 + 0.00675862i
\(561\) −4.36369 5.13733i −0.184235 0.216898i
\(562\) −1.25137 23.0801i −0.0527857 0.973576i
\(563\) 6.34267 15.9189i 0.267312 0.670901i −0.732641 0.680615i \(-0.761713\pi\)
0.999953 + 0.00971362i \(0.00309199\pi\)
\(564\) −2.07686 3.06313i −0.0874514 0.128981i
\(565\) −2.58723 + 3.81588i −0.108846 + 0.160535i
\(566\) 10.2223 + 25.6559i 0.429674 + 1.07840i
\(567\) 0.633639 0.293153i 0.0266104 0.0123113i
\(568\) −5.81701 + 3.49998i −0.244076 + 0.146856i
\(569\) 22.5765 + 21.3856i 0.946455 + 0.896530i 0.994753 0.102303i \(-0.0326212\pi\)
−0.0482984 + 0.998833i \(0.515380\pi\)
\(570\) 0.885204 0.672915i 0.0370771 0.0281853i
\(571\) 0.466502 8.60412i 0.0195225 0.360071i −0.972408 0.233287i \(-0.925052\pi\)
0.991930 0.126784i \(-0.0404655\pi\)
\(572\) −4.78675 2.21459i −0.200144 0.0925965i
\(573\) 14.1420 1.53804i 0.590792 0.0642525i
\(574\) 4.02346 1.35566i 0.167936 0.0565843i
\(575\) 2.69167 16.4185i 0.112250 0.684698i
\(576\) −0.725995 + 0.687699i −0.0302498 + 0.0286541i
\(577\) −2.99344 + 10.7814i −0.124619 + 0.448836i −0.999361 0.0357533i \(-0.988617\pi\)
0.874742 + 0.484589i \(0.161031\pi\)
\(578\) −3.17812 + 5.99458i −0.132192 + 0.249341i
\(579\) −18.7261 6.30954i −0.778228 0.262216i
\(580\) 1.16018 + 0.255375i 0.0481739 + 0.0106039i
\(581\) 1.39210 + 5.01388i 0.0577540 + 0.208011i
\(582\) 9.07311 + 5.45911i 0.376093 + 0.226287i
\(583\) 4.60726 + 0.501069i 0.190813 + 0.0207522i
\(584\) 4.43331 0.975845i 0.183452 0.0403807i
\(585\) 0.537265 + 1.01339i 0.0222132 + 0.0418985i
\(586\) 0.503945 + 3.07393i 0.0208178 + 0.126983i
\(587\) 32.7931 + 24.9287i 1.35352 + 1.02892i 0.995456 + 0.0952191i \(0.0303552\pi\)
0.358061 + 0.933698i \(0.383438\pi\)
\(588\) 4.21614 4.96363i 0.173871 0.204697i
\(589\) 0.829236 0.0341681
\(590\) 1.78046 + 1.46974i 0.0733005 + 0.0605082i
\(591\) −1.82252 −0.0749686
\(592\) −2.85897 + 3.36585i −0.117503 + 0.138335i
\(593\) −27.0905 20.5937i −1.11247 0.845681i −0.123292 0.992370i \(-0.539345\pi\)
−0.989183 + 0.146689i \(0.953138\pi\)
\(594\) 0.223599 + 1.36389i 0.00917436 + 0.0559611i
\(595\) −0.479380 0.904207i −0.0196527 0.0370689i
\(596\) 11.4662 2.52389i 0.469673 0.103383i
\(597\) 5.94688 + 0.646762i 0.243390 + 0.0264702i
\(598\) 11.0807 + 6.66705i 0.453124 + 0.272636i
\(599\) 10.5541 + 38.0123i 0.431227 + 1.55314i 0.786024 + 0.618196i \(0.212136\pi\)
−0.354797 + 0.934943i \(0.615450\pi\)
\(600\) −4.79487 1.05543i −0.195750 0.0430878i
\(601\) −17.6019 5.93076i −0.717995 0.241921i −0.0634947 0.997982i \(-0.520225\pi\)
−0.654501 + 0.756061i \(0.727121\pi\)
\(602\) −0.473529 + 0.893171i −0.0192996 + 0.0364029i
\(603\) 0.436954 1.57376i 0.0177941 0.0640887i
\(604\) 13.6193 12.9008i 0.554160 0.524928i
\(605\) 0.442008 2.69613i 0.0179702 0.109613i
\(606\) −8.87943 + 2.99183i −0.360702 + 0.121535i
\(607\) 8.95047 0.973422i 0.363288 0.0395100i 0.0753453 0.997158i \(-0.475994\pi\)
0.287943 + 0.957648i \(0.407029\pi\)
\(608\) −3.35751 1.55335i −0.136165 0.0629967i
\(609\) −0.149391 + 2.75535i −0.00605362 + 0.111652i
\(610\) 0.385406 0.292978i 0.0156046 0.0118623i
\(611\) 10.2530 + 9.71217i 0.414793 + 0.392912i
\(612\) 4.17888 2.51435i 0.168921 0.101636i
\(613\) −30.3874 + 14.0587i −1.22734 + 0.567826i −0.923023 0.384746i \(-0.874289\pi\)
−0.304314 + 0.952572i \(0.598427\pi\)
\(614\) −1.93627 4.85967i −0.0781414 0.196120i
\(615\) 1.02576 1.51288i 0.0413625 0.0610051i
\(616\) −0.541510 0.798667i −0.0218180 0.0321792i
\(617\) −18.0012 + 45.1795i −0.724699 + 1.81886i −0.172780 + 0.984960i \(0.555275\pi\)
−0.551919 + 0.833898i \(0.686104\pi\)
\(618\) −0.873954 16.1191i −0.0351556 0.648406i
\(619\) 23.9305 + 28.1732i 0.961849 + 1.13238i 0.991142 + 0.132806i \(0.0423986\pi\)
−0.0292928 + 0.999571i \(0.509326\pi\)
\(620\) 0.0436166 + 0.0513494i 0.00175168 + 0.00206224i
\(621\) −0.183464 3.38379i −0.00736215 0.135787i
\(622\) −0.682507 + 1.71296i −0.0273660 + 0.0686836i
\(623\) 1.28316 + 1.89252i 0.0514087 + 0.0758221i
\(624\) 2.14154 3.15854i 0.0857303 0.126443i
\(625\) −8.75489 21.9731i −0.350196 0.878925i
\(626\) 7.39199 3.41990i 0.295443 0.136687i
\(627\) −4.38109 + 2.63601i −0.174964 + 0.105272i
\(628\) −7.15222 6.77495i −0.285405 0.270350i
\(629\) 17.1460 13.0340i 0.683654 0.519700i
\(630\) −0.0113609 + 0.209540i −0.000452630 + 0.00834828i
\(631\) −1.25424 0.580271i −0.0499303 0.0231002i 0.394765 0.918782i \(-0.370826\pi\)
−0.444695 + 0.895682i \(0.646688\pi\)
\(632\) −10.7589 + 1.17010i −0.427964 + 0.0465439i
\(633\) −20.0029 + 6.73977i −0.795045 + 0.267882i
\(634\) 0.0461983 0.281797i 0.00183477 0.0111916i
\(635\) −1.64781 + 1.56088i −0.0653912 + 0.0619418i
\(636\) −0.897070 + 3.23096i −0.0355711 + 0.128116i
\(637\) −11.6411 + 21.9575i −0.461239 + 0.869988i
\(638\) −5.17658 1.74419i −0.204943 0.0690533i
\(639\) −6.63006 1.45939i −0.262281 0.0577324i
\(640\) −0.0804109 0.289614i −0.00317852 0.0114480i
\(641\) 5.55968 + 3.34515i 0.219594 + 0.132125i 0.621101 0.783731i \(-0.286686\pi\)
−0.401507 + 0.915856i \(0.631513\pi\)
\(642\) −10.4360 1.13498i −0.411874 0.0447940i
\(643\) 36.3577 8.00294i 1.43381 0.315605i 0.570922 0.821004i \(-0.306586\pi\)
0.862886 + 0.505399i \(0.168655\pi\)
\(644\) 1.10822 + 2.09032i 0.0436699 + 0.0823701i
\(645\) 0.0704106 + 0.429485i 0.00277241 + 0.0169110i
\(646\) 14.3631 + 10.9186i 0.565110 + 0.429586i
\(647\) 0.700391 0.824564i 0.0275352 0.0324170i −0.748222 0.663448i \(-0.769092\pi\)
0.775757 + 0.631031i \(0.217368\pi\)
\(648\) −1.00000 −0.0392837
\(649\) −7.40835 7.60381i −0.290803 0.298476i
\(650\) 18.7357 0.734875
\(651\) −0.101313 + 0.119275i −0.00397078 + 0.00467476i
\(652\) −2.77486 2.10939i −0.108672 0.0826102i
\(653\) 3.12193 + 19.0429i 0.122170 + 0.745207i 0.974865 + 0.222797i \(0.0715187\pi\)
−0.852694 + 0.522410i \(0.825033\pi\)
\(654\) 1.98313 + 3.74057i 0.0775464 + 0.146268i
\(655\) −1.17092 + 0.257740i −0.0457517 + 0.0100707i
\(656\) −6.04558 0.657496i −0.236040 0.0256709i
\(657\) 3.88965 + 2.34032i 0.151750 + 0.0913047i
\(658\) 0.691239 + 2.48962i 0.0269473 + 0.0970554i
\(659\) −11.8870 2.61653i −0.463052 0.101925i −0.0226836 0.999743i \(-0.507221\pi\)
−0.440368 + 0.897817i \(0.645152\pi\)
\(660\) −0.393671 0.132643i −0.0153236 0.00516313i
\(661\) −15.7153 + 29.6422i −0.611254 + 1.15295i 0.363903 + 0.931437i \(0.381444\pi\)
−0.975158 + 0.221511i \(0.928901\pi\)
\(662\) 7.61035 27.4100i 0.295785 1.06532i
\(663\) −13.5115 + 12.7988i −0.524743 + 0.497063i
\(664\) 1.20579 7.35498i 0.0467936 0.285428i
\(665\) −0.735680 + 0.247879i −0.0285284 + 0.00961235i
\(666\) −4.39029 + 0.477473i −0.170120 + 0.0185017i
\(667\) 12.1556 + 5.62380i 0.470669 + 0.217754i
\(668\) −0.298014 + 5.49655i −0.0115305 + 0.212668i
\(669\) 2.48196 1.88674i 0.0959582 0.0729455i
\(670\) 0.356406 + 0.337605i 0.0137691 + 0.0130428i
\(671\) −1.90747 + 1.14769i −0.0736370 + 0.0443059i
\(672\) 0.633639 0.293153i 0.0244432 0.0113086i
\(673\) −3.76954 9.46084i −0.145305 0.364689i 0.838253 0.545282i \(-0.183577\pi\)
−0.983558 + 0.180594i \(0.942198\pi\)
\(674\) 15.2453 22.4851i 0.587227 0.866095i
\(675\) −2.75524 4.06367i −0.106049 0.156411i
\(676\) −0.578361 + 1.45158i −0.0222447 + 0.0558299i
\(677\) −1.03120 19.0194i −0.0396322 0.730974i −0.949057 0.315105i \(-0.897960\pi\)
0.909425 0.415869i \(-0.136522\pi\)
\(678\) 9.92993 + 11.6904i 0.381357 + 0.448968i
\(679\) −4.78598 5.63449i −0.183669 0.216232i
\(680\) 0.0793607 + 1.46372i 0.00304334 + 0.0561312i
\(681\) 0.567728 1.42489i 0.0217554 0.0546019i
\(682\) −0.173856 0.256419i −0.00665729 0.00981877i
\(683\) −11.9419 + 17.6129i −0.456942 + 0.673939i −0.984461 0.175604i \(-0.943812\pi\)
0.527519 + 0.849543i \(0.323122\pi\)
\(684\) −1.36930 3.43668i −0.0523565 0.131405i
\(685\) −1.58883 + 0.735073i −0.0607062 + 0.0280857i
\(686\) −8.08362 + 4.86375i −0.308634 + 0.185699i
\(687\) 12.0008 + 11.3678i 0.457859 + 0.433707i
\(688\) 1.15273 0.876280i 0.0439473 0.0334079i
\(689\) 0.692763 12.7773i 0.0263922 0.486775i
\(690\) 0.924418 + 0.427681i 0.0351920 + 0.0162816i
\(691\) −6.84119 + 0.744024i −0.260251 + 0.0283040i −0.237314 0.971433i \(-0.576267\pi\)
−0.0229368 + 0.999737i \(0.507302\pi\)
\(692\) −5.03303 + 1.69583i −0.191327 + 0.0644657i
\(693\) 0.156109 0.952224i 0.00593010 0.0361720i
\(694\) −2.32200 + 2.19951i −0.0881418 + 0.0834923i
\(695\) −1.02435 + 3.68939i −0.0388560 + 0.139946i
\(696\) 1.85131 3.49194i 0.0701738 0.132362i
\(697\) 28.1055 + 9.46985i 1.06457 + 0.358696i
\(698\) −9.22643 2.03089i −0.349226 0.0768704i
\(699\) 4.97597 + 17.9218i 0.188209 + 0.677866i
\(700\) 2.93710 + 1.76720i 0.111012 + 0.0667937i
\(701\) −45.3329 4.93024i −1.71220 0.186213i −0.801136 0.598482i \(-0.795771\pi\)
−0.911062 + 0.412269i \(0.864736\pi\)
\(702\) 3.72687 0.820347i 0.140662 0.0309620i
\(703\) −7.65255 14.4342i −0.288621 0.544398i
\(704\) 0.223599 + 1.36389i 0.00842719 + 0.0514036i
\(705\) 0.885539 + 0.673169i 0.0333513 + 0.0253530i
\(706\) 12.5462 14.7705i 0.472181 0.555895i
\(707\) 6.54177 0.246028
\(708\) 6.29635 4.39954i 0.236631 0.165345i
\(709\) −31.4576 −1.18141 −0.590707 0.806886i \(-0.701151\pi\)
−0.590707 + 0.806886i \(0.701151\pi\)
\(710\) 1.32099 1.55519i 0.0495759 0.0583653i
\(711\) −8.61555 6.54937i −0.323108 0.245621i
\(712\) −0.529838 3.23187i −0.0198565 0.121119i
\(713\) 0.355802 + 0.671114i 0.0133249 + 0.0251334i
\(714\) −3.32534 + 0.731963i −0.124448 + 0.0273930i
\(715\) 1.57598 + 0.171398i 0.0589381 + 0.00640991i
\(716\) −12.2837 7.39086i −0.459064 0.276209i
\(717\) 7.13305 + 25.6909i 0.266389 + 0.959445i
\(718\) −6.37280 1.40276i −0.237831 0.0523505i
\(719\) 19.4938 + 6.56824i 0.726997 + 0.244954i 0.658376 0.752689i \(-0.271244\pi\)
0.0686210 + 0.997643i \(0.478140\pi\)
\(720\) 0.140789 0.265557i 0.00524691 0.00989672i
\(721\) −3.01514 + 10.8596i −0.112290 + 0.404431i
\(722\) −3.85810 + 3.65459i −0.143584 + 0.136010i
\(723\) −0.487095 + 2.97115i −0.0181153 + 0.110498i
\(724\) 4.42038 1.48940i 0.164282 0.0553531i
\(725\) 19.2909 2.09801i 0.716446 0.0779182i
\(726\) −8.24968 3.81671i −0.306174 0.141651i
\(727\) 0.0563703 1.03969i 0.00209066 0.0385599i −0.997302 0.0734088i \(-0.976612\pi\)
0.999393 + 0.0348489i \(0.0110950\pi\)
\(728\) −2.12101 + 1.61235i −0.0786098 + 0.0597576i
\(729\) −0.725995 0.687699i −0.0268887 0.0254704i
\(730\) −1.16911 + 0.703430i −0.0432707 + 0.0260351i
\(731\) −6.40909 + 2.96516i −0.237049 + 0.109670i
\(732\) −0.596175 1.49629i −0.0220353 0.0553043i
\(733\) 14.7721 21.7871i 0.545618 0.804727i −0.450498 0.892778i \(-0.648753\pi\)
0.996116 + 0.0880509i \(0.0280638\pi\)
\(734\) −17.3748 25.6260i −0.641317 0.945871i
\(735\) −0.724537 + 1.81845i −0.0267250 + 0.0670746i
\(736\) −0.183464 3.38379i −0.00676256 0.124728i
\(737\) −1.46140 1.72049i −0.0538312 0.0633750i
\(738\) −3.93690 4.63488i −0.144919 0.170612i
\(739\) 0.0238028 + 0.439016i 0.000875599 + 0.0161495i 0.998939 0.0460624i \(-0.0146673\pi\)
−0.998063 + 0.0622119i \(0.980185\pi\)
\(740\) 0.491310 1.23310i 0.0180609 0.0453295i
\(741\) 7.92248 + 11.6848i 0.291040 + 0.429251i
\(742\) 1.31378 1.93769i 0.0482305 0.0711347i
\(743\) 16.3692 + 41.0835i 0.600527 + 1.50721i 0.843474 + 0.537170i \(0.180507\pi\)
−0.242947 + 0.970040i \(0.578114\pi\)
\(744\) 0.203435 0.0941191i 0.00745829 0.00345057i
\(745\) −3.02375 + 1.81933i −0.110782 + 0.0666551i
\(746\) 18.1922 + 17.2326i 0.666065 + 0.630931i
\(747\) 5.93341 4.51046i 0.217092 0.165029i
\(748\) 0.364922 6.73058i 0.0133429 0.246094i
\(749\) 6.65162 + 3.07737i 0.243045 + 0.112445i
\(750\) 2.96108 0.322037i 0.108123 0.0117591i
\(751\) −30.8288 + 10.3874i −1.12496 + 0.379043i −0.819453 0.573146i \(-0.805723\pi\)
−0.305508 + 0.952190i \(0.598826\pi\)
\(752\) 0.598727 3.65207i 0.0218333 0.133177i
\(753\) −0.354306 + 0.335616i −0.0129116 + 0.0122305i
\(754\) −4.03500 + 14.5327i −0.146946 + 0.529251i
\(755\) −2.64113 + 4.98169i −0.0961204 + 0.181302i
\(756\) 0.661620 + 0.222926i 0.0240629 + 0.00810774i
\(757\) −31.0442 6.83335i −1.12832 0.248362i −0.388686 0.921370i \(-0.627071\pi\)
−0.739635 + 0.673008i \(0.765002\pi\)
\(758\) 2.48641 + 8.95524i 0.0903105 + 0.325269i
\(759\) −4.01318 2.41465i −0.145669