Properties

Label 690.2.r.b.169.5
Level $690$
Weight $2$
Character 690.169
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
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.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 169.5
Character \(\chi\) \(=\) 690.169
Dual form 690.2.r.b.49.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.989821 - 0.142315i) q^{2} +(0.909632 - 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(0.981376 - 2.00920i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(2.34067 - 3.64216i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.989821 - 0.142315i) q^{2} +(0.909632 - 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(0.981376 - 2.00920i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(2.34067 - 3.64216i) q^{7} +(-0.909632 - 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +(-1.25733 + 1.84909i) q^{10} +(-0.630409 - 4.38459i) q^{11} +(0.989821 - 0.142315i) q^{12} +(2.80393 + 4.36300i) q^{13} +(-2.83518 + 3.27197i) q^{14} +(0.0580378 - 2.23531i) q^{15} +(0.841254 + 0.540641i) q^{16} +(0.0366362 + 0.124771i) q^{17} +(-0.755750 + 0.654861i) q^{18} +(-4.41094 - 1.29517i) q^{19} +(1.50768 - 1.65133i) q^{20} +(0.616144 - 4.28537i) q^{21} +4.42968i q^{22} +(-3.10096 + 3.65842i) q^{23} -1.00000 q^{24} +(-3.07380 - 3.94357i) q^{25} +(-2.15447 - 4.71763i) q^{26} +(0.281733 - 0.959493i) q^{27} +(3.27197 - 2.83518i) q^{28} +(-3.51741 + 1.03280i) q^{29} +(-0.375565 + 2.20430i) q^{30} +(-3.45167 + 7.55811i) q^{31} +(-0.755750 - 0.654861i) q^{32} +(-2.39486 - 3.72648i) q^{33} +(-0.0185065 - 0.128715i) q^{34} +(-5.02076 - 8.27722i) q^{35} +(0.841254 - 0.540641i) q^{36} +(8.53579 + 7.39630i) q^{37} +(4.18173 + 1.90973i) q^{38} +(4.36300 + 2.80393i) q^{39} +(-1.72734 + 1.41996i) q^{40} +(5.06753 + 5.84824i) q^{41} +(-1.21974 + 4.15407i) q^{42} +(4.40797 - 2.01305i) q^{43} +(0.630409 - 4.38459i) q^{44} +(-0.875790 - 2.05742i) q^{45} +(3.59004 - 3.17987i) q^{46} -9.46833i q^{47} +(0.989821 + 0.142315i) q^{48} +(-4.87866 - 10.6828i) q^{49} +(2.48129 + 4.34088i) q^{50} +(0.0851574 + 0.0982769i) q^{51} +(1.46115 + 4.97622i) q^{52} +(3.26756 - 5.08442i) q^{53} +(-0.415415 + 0.909632i) q^{54} +(-9.42820 - 3.03631i) q^{55} +(-3.64216 + 2.34067i) q^{56} +(-4.55037 + 0.654244i) q^{57} +(3.62859 - 0.521712i) q^{58} +(-4.79503 + 3.08158i) q^{59} +(0.685448 - 2.12842i) q^{60} +(-0.903633 + 1.97868i) q^{61} +(4.49217 - 6.98995i) q^{62} +(-1.21974 - 4.15407i) q^{63} +(0.654861 + 0.755750i) q^{64} +(11.5179 - 1.35192i) q^{65} +(1.84015 + 4.02937i) q^{66} +(6.46450 + 0.929455i) q^{67} +0.130039i q^{68} +(-1.30097 + 4.61600i) q^{69} +(3.79168 + 8.90750i) q^{70} +(-0.336289 + 2.33894i) q^{71} +(-0.909632 + 0.415415i) q^{72} +(0.190467 - 0.648670i) q^{73} +(-7.39630 - 8.53579i) q^{74} +(-4.43425 - 2.31029i) q^{75} +(-3.86738 - 2.48541i) q^{76} +(-17.4449 - 7.96684i) q^{77} +(-3.91955 - 3.39631i) q^{78} +(8.85021 - 5.68769i) q^{79} +(1.91184 - 1.15968i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-4.18366 - 6.50989i) q^{82} +(2.45486 + 2.12715i) q^{83} +(1.79852 - 3.93820i) q^{84} +(0.286645 + 0.0488381i) q^{85} +(-4.64959 + 1.36524i) q^{86} +(-2.77050 + 2.40065i) q^{87} +(-1.24798 + 4.25024i) q^{88} +(-4.68820 - 10.2657i) q^{89} +(0.574074 + 2.16112i) q^{90} +22.4538 q^{91} +(-4.00604 + 2.63659i) q^{92} +8.30897i q^{93} +(-1.34748 + 9.37195i) q^{94} +(-6.93106 + 7.59144i) q^{95} +(-0.959493 - 0.281733i) q^{96} +(-5.09682 + 4.41642i) q^{97} +(3.30869 + 11.2683i) q^{98} +(-3.72648 - 2.39486i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} + O(q^{10}) \) \( 120q + 12q^{4} + 8q^{5} - 12q^{6} + 12q^{9} - 18q^{10} - 8q^{11} - 4q^{15} - 12q^{16} + 16q^{19} + 14q^{20} - 22q^{21} - 120q^{24} + 28q^{25} + 8q^{26} + 8q^{29} + 8q^{30} + 8q^{31} + 44q^{34} + 58q^{35} - 12q^{36} + 14q^{39} - 4q^{40} + 8q^{44} - 8q^{45} + 12q^{49} - 4q^{50} + 12q^{54} + 92q^{55} - 94q^{59} + 4q^{60} - 60q^{61} + 12q^{64} - 44q^{65} - 8q^{66} + 16q^{70} - 16q^{74} + 4q^{75} - 16q^{76} + 172q^{79} + 8q^{80} - 12q^{81} - 32q^{85} - 40q^{86} + 48q^{89} - 4q^{90} + 288q^{91} + 24q^{94} - 78q^{95} - 12q^{96} - 36q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{3}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.989821 0.142315i −0.699909 0.100632i
\(3\) 0.909632 0.415415i 0.525176 0.239840i
\(4\) 0.959493 + 0.281733i 0.479746 + 0.140866i
\(5\) 0.981376 2.00920i 0.438885 0.898543i
\(6\) −0.959493 + 0.281733i −0.391711 + 0.115017i
\(7\) 2.34067 3.64216i 0.884691 1.37661i −0.0413342 0.999145i \(-0.513161\pi\)
0.926025 0.377461i \(-0.123203\pi\)
\(8\) −0.909632 0.415415i −0.321603 0.146871i
\(9\) 0.654861 0.755750i 0.218287 0.251917i
\(10\) −1.25733 + 1.84909i −0.397602 + 0.584733i
\(11\) −0.630409 4.38459i −0.190075 1.32200i −0.831803 0.555071i \(-0.812691\pi\)
0.641728 0.766932i \(-0.278218\pi\)
\(12\) 0.989821 0.142315i 0.285737 0.0410828i
\(13\) 2.80393 + 4.36300i 0.777670 + 1.21008i 0.973331 + 0.229406i \(0.0736784\pi\)
−0.195661 + 0.980672i \(0.562685\pi\)
\(14\) −2.83518 + 3.27197i −0.757734 + 0.874472i
\(15\) 0.0580378 2.23531i 0.0149853 0.577156i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) 0.0366362 + 0.124771i 0.00888559 + 0.0302615i 0.963816 0.266567i \(-0.0858893\pi\)
−0.954931 + 0.296828i \(0.904071\pi\)
\(18\) −0.755750 + 0.654861i −0.178132 + 0.154352i
\(19\) −4.41094 1.29517i −1.01194 0.297132i −0.266593 0.963809i \(-0.585898\pi\)
−0.745347 + 0.666677i \(0.767716\pi\)
\(20\) 1.50768 1.65133i 0.337128 0.369249i
\(21\) 0.616144 4.28537i 0.134454 0.935145i
\(22\) 4.42968i 0.944410i
\(23\) −3.10096 + 3.65842i −0.646594 + 0.762834i
\(24\) −1.00000 −0.204124
\(25\) −3.07380 3.94357i −0.614760 0.788714i
\(26\) −2.15447 4.71763i −0.422526 0.925203i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) 3.27197 2.83518i 0.618345 0.535799i
\(29\) −3.51741 + 1.03280i −0.653166 + 0.191787i −0.591494 0.806310i \(-0.701462\pi\)
−0.0616723 + 0.998096i \(0.519643\pi\)
\(30\) −0.375565 + 2.20430i −0.0685686 + 0.402449i
\(31\) −3.45167 + 7.55811i −0.619939 + 1.35748i 0.295625 + 0.955304i \(0.404472\pi\)
−0.915564 + 0.402172i \(0.868255\pi\)
\(32\) −0.755750 0.654861i −0.133599 0.115764i
\(33\) −2.39486 3.72648i −0.416892 0.648697i
\(34\) −0.0185065 0.128715i −0.00317383 0.0220745i
\(35\) −5.02076 8.27722i −0.848663 1.39911i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) 8.53579 + 7.39630i 1.40328 + 1.21594i 0.944973 + 0.327149i \(0.106088\pi\)
0.458302 + 0.888796i \(0.348458\pi\)
\(38\) 4.18173 + 1.90973i 0.678365 + 0.309799i
\(39\) 4.36300 + 2.80393i 0.698639 + 0.448988i
\(40\) −1.72734 + 1.41996i −0.273117 + 0.224515i
\(41\) 5.06753 + 5.84824i 0.791415 + 0.913341i 0.997878 0.0651131i \(-0.0207408\pi\)
−0.206463 + 0.978454i \(0.566195\pi\)
\(42\) −1.21974 + 4.15407i −0.188211 + 0.640987i
\(43\) 4.40797 2.01305i 0.672208 0.306987i −0.0499131 0.998754i \(-0.515894\pi\)
0.722121 + 0.691766i \(0.243167\pi\)
\(44\) 0.630409 4.38459i 0.0950377 0.661002i
\(45\) −0.875790 2.05742i −0.130555 0.306703i
\(46\) 3.59004 3.17987i 0.529323 0.468847i
\(47\) 9.46833i 1.38110i −0.723286 0.690549i \(-0.757369\pi\)
0.723286 0.690549i \(-0.242631\pi\)
\(48\) 0.989821 + 0.142315i 0.142868 + 0.0205414i
\(49\) −4.87866 10.6828i −0.696952 1.52611i
\(50\) 2.48129 + 4.34088i 0.350907 + 0.613893i
\(51\) 0.0851574 + 0.0982769i 0.0119244 + 0.0137615i
\(52\) 1.46115 + 4.97622i 0.202625 + 0.690078i
\(53\) 3.26756 5.08442i 0.448833 0.698398i −0.540938 0.841063i \(-0.681931\pi\)
0.989771 + 0.142664i \(0.0455669\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) −9.42820 3.03631i −1.27130 0.409416i
\(56\) −3.64216 + 2.34067i −0.486704 + 0.312786i
\(57\) −4.55037 + 0.654244i −0.602711 + 0.0866568i
\(58\) 3.62859 0.521712i 0.476457 0.0685042i
\(59\) −4.79503 + 3.08158i −0.624260 + 0.401187i −0.814180 0.580612i \(-0.802813\pi\)
0.189921 + 0.981799i \(0.439177\pi\)
\(60\) 0.685448 2.12842i 0.0884909 0.274778i
\(61\) −0.903633 + 1.97868i −0.115698 + 0.253344i −0.958618 0.284695i \(-0.908108\pi\)
0.842920 + 0.538039i \(0.180835\pi\)
\(62\) 4.49217 6.98995i 0.570506 0.887725i
\(63\) −1.21974 4.15407i −0.153673 0.523364i
\(64\) 0.654861 + 0.755750i 0.0818576 + 0.0944687i
\(65\) 11.5179 1.35192i 1.42861 0.167685i
\(66\) 1.84015 + 4.02937i 0.226507 + 0.495982i
\(67\) 6.46450 + 0.929455i 0.789765 + 0.113551i 0.525382 0.850867i \(-0.323923\pi\)
0.264383 + 0.964418i \(0.414832\pi\)
\(68\) 0.130039i 0.0157695i
\(69\) −1.30097 + 4.61600i −0.156618 + 0.555702i
\(70\) 3.79168 + 8.90750i 0.453193 + 1.06465i
\(71\) −0.336289 + 2.33894i −0.0399101 + 0.277581i −0.999998 0.00211837i \(-0.999326\pi\)
0.960088 + 0.279699i \(0.0902348\pi\)
\(72\) −0.909632 + 0.415415i −0.107201 + 0.0489571i
\(73\) 0.190467 0.648670i 0.0222925 0.0759211i −0.947596 0.319473i \(-0.896494\pi\)
0.969888 + 0.243551i \(0.0783125\pi\)
\(74\) −7.39630 8.53579i −0.859803 0.992265i
\(75\) −4.43425 2.31029i −0.512023 0.266770i
\(76\) −3.86738 2.48541i −0.443619 0.285096i
\(77\) −17.4449 7.96684i −1.98804 0.907906i
\(78\) −3.91955 3.39631i −0.443801 0.384556i
\(79\) 8.85021 5.68769i 0.995727 0.639915i 0.0620656 0.998072i \(-0.480231\pi\)
0.933661 + 0.358157i \(0.116595\pi\)
\(80\) 1.91184 1.15968i 0.213751 0.129656i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) −4.18366 6.50989i −0.462007 0.718898i
\(83\) 2.45486 + 2.12715i 0.269456 + 0.233485i 0.779099 0.626901i \(-0.215677\pi\)
−0.509643 + 0.860386i \(0.670222\pi\)
\(84\) 1.79852 3.93820i 0.196234 0.429693i
\(85\) 0.286645 + 0.0488381i 0.0310910 + 0.00529724i
\(86\) −4.64959 + 1.36524i −0.501378 + 0.147218i
\(87\) −2.77050 + 2.40065i −0.297029 + 0.257377i
\(88\) −1.24798 + 4.25024i −0.133036 + 0.453077i
\(89\) −4.68820 10.2657i −0.496948 1.08816i −0.977449 0.211170i \(-0.932273\pi\)
0.480501 0.876994i \(-0.340455\pi\)
\(90\) 0.574074 + 2.16112i 0.0605127 + 0.227802i
\(91\) 22.4538 2.35380
\(92\) −4.00604 + 2.63659i −0.417659 + 0.274884i
\(93\) 8.30897i 0.861600i
\(94\) −1.34748 + 9.37195i −0.138982 + 0.966643i
\(95\) −6.93106 + 7.59144i −0.711111 + 0.778865i
\(96\) −0.959493 0.281733i −0.0979278 0.0287542i
\(97\) −5.09682 + 4.41642i −0.517504 + 0.448419i −0.874034 0.485864i \(-0.838505\pi\)
0.356531 + 0.934284i \(0.383960\pi\)
\(98\) 3.30869 + 11.2683i 0.334228 + 1.13828i
\(99\) −3.72648 2.39486i −0.374525 0.240693i
\(100\) −1.83826 4.64982i −0.183826 0.464982i
\(101\) 7.83312 9.03990i 0.779424 0.899504i −0.217643 0.976028i \(-0.569837\pi\)
0.997068 + 0.0765246i \(0.0243824\pi\)
\(102\) −0.0703044 0.109396i −0.00696117 0.0108318i
\(103\) 12.0663 1.73487i 1.18893 0.170942i 0.480672 0.876900i \(-0.340393\pi\)
0.708253 + 0.705959i \(0.249484\pi\)
\(104\) −0.738088 5.13352i −0.0723755 0.503383i
\(105\) −8.00552 5.44352i −0.781259 0.531233i
\(106\) −3.95788 + 4.56764i −0.384424 + 0.443649i
\(107\) −14.2426 6.50436i −1.37688 0.628800i −0.416922 0.908942i \(-0.636891\pi\)
−0.959959 + 0.280142i \(0.909619\pi\)
\(108\) 0.540641 0.841254i 0.0520232 0.0809497i
\(109\) −8.36349 + 2.45574i −0.801077 + 0.235217i −0.656549 0.754283i \(-0.727984\pi\)
−0.144528 + 0.989501i \(0.546166\pi\)
\(110\) 8.90012 + 4.34718i 0.848593 + 0.414487i
\(111\) 10.8370 + 3.18202i 1.02860 + 0.302024i
\(112\) 3.93820 1.79852i 0.372125 0.169944i
\(113\) 14.6613 + 2.10797i 1.37922 + 0.198301i 0.791699 0.610911i \(-0.209197\pi\)
0.587516 + 0.809212i \(0.300106\pi\)
\(114\) 4.59716 0.430564
\(115\) 4.30732 + 9.82075i 0.401659 + 0.915789i
\(116\) −3.66590 −0.340370
\(117\) 5.13352 + 0.738088i 0.474594 + 0.0682363i
\(118\) 5.18478 2.36781i 0.477297 0.217974i
\(119\) 0.540191 + 0.158614i 0.0495192 + 0.0145402i
\(120\) −0.981376 + 2.00920i −0.0895870 + 0.183414i
\(121\) −8.27278 + 2.42911i −0.752071 + 0.220828i
\(122\) 1.17603 1.82994i 0.106473 0.165675i
\(123\) 7.03903 + 3.21462i 0.634688 + 0.289852i
\(124\) −5.44122 + 6.27950i −0.488636 + 0.563916i
\(125\) −10.9400 + 2.30577i −0.978503 + 0.206234i
\(126\) 0.616144 + 4.28537i 0.0548905 + 0.381771i
\(127\) 0.165368 0.0237764i 0.0146741 0.00210981i −0.134974 0.990849i \(-0.543095\pi\)
0.149648 + 0.988739i \(0.452186\pi\)
\(128\) −0.540641 0.841254i −0.0477863 0.0743570i
\(129\) 3.17337 3.66227i 0.279400 0.322445i
\(130\) −11.5930 0.301002i −1.01678 0.0263996i
\(131\) 11.4101 + 7.33283i 0.996905 + 0.640672i 0.933972 0.357346i \(-0.116318\pi\)
0.0629330 + 0.998018i \(0.479955\pi\)
\(132\) −1.24798 4.25024i −0.108623 0.369936i
\(133\) −15.0418 + 13.0338i −1.30429 + 1.13017i
\(134\) −6.26643 1.83999i −0.541337 0.158951i
\(135\) −1.65133 1.50768i −0.142124 0.129761i
\(136\) 0.0185065 0.128715i 0.00158692 0.0110373i
\(137\) 17.0033i 1.45269i 0.687331 + 0.726345i \(0.258782\pi\)
−0.687331 + 0.726345i \(0.741218\pi\)
\(138\) 1.94465 4.38387i 0.165540 0.373180i
\(139\) −1.40019 −0.118763 −0.0593814 0.998235i \(-0.518913\pi\)
−0.0593814 + 0.998235i \(0.518913\pi\)
\(140\) −2.48542 9.35644i −0.210056 0.790764i
\(141\) −3.93329 8.61269i −0.331242 0.725320i
\(142\) 0.665731 2.26727i 0.0558669 0.190265i
\(143\) 17.3623 15.0445i 1.45191 1.25809i
\(144\) 0.959493 0.281733i 0.0799577 0.0234777i
\(145\) −1.37679 + 8.08076i −0.114336 + 0.671070i
\(146\) −0.280844 + 0.614962i −0.0232428 + 0.0508946i
\(147\) −8.87557 7.69073i −0.732045 0.634321i
\(148\) 6.10625 + 9.50151i 0.501931 + 0.781019i
\(149\) 1.48561 + 10.3326i 0.121706 + 0.846482i 0.955623 + 0.294593i \(0.0951839\pi\)
−0.833917 + 0.551890i \(0.813907\pi\)
\(150\) 4.06032 + 2.91784i 0.331524 + 0.238240i
\(151\) −1.26507 + 0.813014i −0.102950 + 0.0661621i −0.591103 0.806596i \(-0.701307\pi\)
0.488153 + 0.872758i \(0.337671\pi\)
\(152\) 3.47430 + 3.01050i 0.281803 + 0.244184i
\(153\) 0.118288 + 0.0540201i 0.00956299 + 0.00436727i
\(154\) 16.1336 + 10.3684i 1.30008 + 0.835511i
\(155\) 11.7984 + 14.3525i 0.947669 + 1.15282i
\(156\) 3.39631 + 3.91955i 0.271922 + 0.313815i
\(157\) 4.00150 13.6279i 0.319355 1.08762i −0.630827 0.775924i \(-0.717284\pi\)
0.950181 0.311698i \(-0.100898\pi\)
\(158\) −9.56957 + 4.37028i −0.761314 + 0.347681i
\(159\) 0.860131 5.98234i 0.0682128 0.474430i
\(160\) −2.05742 + 0.875790i −0.162654 + 0.0692373i
\(161\) 6.06623 + 19.8573i 0.478086 + 1.56498i
\(162\) 1.00000i 0.0785674i
\(163\) −5.35398 0.769786i −0.419356 0.0602943i −0.0705929 0.997505i \(-0.522489\pi\)
−0.348763 + 0.937211i \(0.613398\pi\)
\(164\) 3.21462 + 7.03903i 0.251019 + 0.549656i
\(165\) −9.83752 + 1.15469i −0.765850 + 0.0898925i
\(166\) −2.12715 2.45486i −0.165099 0.190534i
\(167\) −2.04558 6.96662i −0.158292 0.539093i 0.841708 0.539933i \(-0.181551\pi\)
−1.00000 0.000840578i \(0.999732\pi\)
\(168\) −2.34067 + 3.64216i −0.180587 + 0.280999i
\(169\) −5.77334 + 12.6418i −0.444103 + 0.972450i
\(170\) −0.276777 0.0891349i −0.0212278 0.00683634i
\(171\) −3.86738 + 2.48541i −0.295746 + 0.190064i
\(172\) 4.79655 0.689640i 0.365734 0.0525846i
\(173\) −3.33220 + 0.479098i −0.253342 + 0.0364251i −0.267816 0.963470i \(-0.586302\pi\)
0.0144735 + 0.999895i \(0.495393\pi\)
\(174\) 3.08395 1.98194i 0.233794 0.150250i
\(175\) −21.5579 + 1.96466i −1.62962 + 0.148515i
\(176\) 1.84015 4.02937i 0.138707 0.303726i
\(177\) −3.08158 + 4.79503i −0.231626 + 0.360416i
\(178\) 3.17951 + 10.8284i 0.238315 + 0.811625i
\(179\) 5.11153 + 5.89903i 0.382054 + 0.440914i 0.913907 0.405923i \(-0.133050\pi\)
−0.531853 + 0.846836i \(0.678504\pi\)
\(180\) −0.260671 2.22082i −0.0194293 0.165530i
\(181\) 4.65068 + 10.1836i 0.345682 + 0.756939i 1.00000 0.000718616i \(0.000228743\pi\)
−0.654317 + 0.756220i \(0.727044\pi\)
\(182\) −22.2253 3.19551i −1.64745 0.236867i
\(183\) 2.17525i 0.160799i
\(184\) 4.34049 2.03964i 0.319985 0.150364i
\(185\) 23.2375 9.89159i 1.70846 0.727244i
\(186\) 1.18249 8.22440i 0.0867044 0.603042i
\(187\) 0.523976 0.239292i 0.0383169 0.0174987i
\(188\) 2.66754 9.08479i 0.194550 0.662577i
\(189\) −2.83518 3.27197i −0.206229 0.238001i
\(190\) 7.94088 6.52778i 0.576092 0.473575i
\(191\) 4.34290 + 2.79101i 0.314241 + 0.201951i 0.688248 0.725475i \(-0.258380\pi\)
−0.374007 + 0.927426i \(0.622016\pi\)
\(192\) 0.909632 + 0.415415i 0.0656470 + 0.0299800i
\(193\) 10.6649 + 9.24120i 0.767677 + 0.665196i 0.947950 0.318421i \(-0.103152\pi\)
−0.180272 + 0.983617i \(0.557698\pi\)
\(194\) 5.67346 3.64611i 0.407331 0.261776i
\(195\) 9.91541 6.01444i 0.710057 0.430703i
\(196\) −1.67135 11.6245i −0.119382 0.830324i
\(197\) 12.5825 + 19.5787i 0.896465 + 1.39493i 0.918607 + 0.395173i \(0.129315\pi\)
−0.0221415 + 0.999755i \(0.507048\pi\)
\(198\) 3.34773 + 2.90082i 0.237913 + 0.206152i
\(199\) −0.854686 + 1.87150i −0.0605871 + 0.132667i −0.937504 0.347975i \(-0.886869\pi\)
0.876917 + 0.480643i \(0.159597\pi\)
\(200\) 1.15781 + 4.86410i 0.0818695 + 0.343944i
\(201\) 6.26643 1.83999i 0.442000 0.129783i
\(202\) −9.03990 + 7.83312i −0.636045 + 0.551136i
\(203\) −4.47146 + 15.2284i −0.313835 + 1.06882i
\(204\) 0.0540201 + 0.118288i 0.00378217 + 0.00828179i
\(205\) 16.7235 4.44237i 1.16802 0.310269i
\(206\) −12.1904 −0.849342
\(207\) 0.734158 + 4.73931i 0.0510275 + 0.329404i
\(208\) 5.18630i 0.359606i
\(209\) −2.89809 + 20.1567i −0.200465 + 1.39427i
\(210\) 7.14934 + 6.52742i 0.493352 + 0.450435i
\(211\) −8.24475 2.42088i −0.567592 0.166660i −0.0146690 0.999892i \(-0.504669\pi\)
−0.552923 + 0.833232i \(0.686488\pi\)
\(212\) 4.56764 3.95788i 0.313707 0.271829i
\(213\) 0.665731 + 2.26727i 0.0456152 + 0.155351i
\(214\) 13.1719 + 8.46509i 0.900415 + 0.578661i
\(215\) 0.281244 10.8321i 0.0191807 0.738740i
\(216\) −0.654861 + 0.755750i −0.0445576 + 0.0514222i
\(217\) 19.4486 + 30.2626i 1.32026 + 2.05436i
\(218\) 8.62785 1.24050i 0.584352 0.0840171i
\(219\) −0.0962127 0.669174i −0.00650145 0.0452186i
\(220\) −8.19086 5.56955i −0.552228 0.375499i
\(221\) −0.441652 + 0.509694i −0.0297087 + 0.0342857i
\(222\) −10.2738 4.69189i −0.689533 0.314899i
\(223\) 0.0747794 0.116359i 0.00500760 0.00779197i −0.838741 0.544531i \(-0.816708\pi\)
0.843748 + 0.536739i \(0.180344\pi\)
\(224\) −4.15407 + 1.21974i −0.277555 + 0.0814976i
\(225\) −4.99326 0.259465i −0.332884 0.0172977i
\(226\) −14.2120 4.17303i −0.945370 0.277586i
\(227\) −20.9240 + 9.55568i −1.38878 + 0.634233i −0.962729 0.270468i \(-0.912822\pi\)
−0.426047 + 0.904701i \(0.640094\pi\)
\(228\) −4.55037 0.654244i −0.301356 0.0433284i
\(229\) −24.7397 −1.63484 −0.817422 0.576039i \(-0.804598\pi\)
−0.817422 + 0.576039i \(0.804598\pi\)
\(230\) −2.86583 10.3338i −0.188968 0.681389i
\(231\) −19.1780 −1.26182
\(232\) 3.62859 + 0.521712i 0.238228 + 0.0342521i
\(233\) −2.04958 + 0.936013i −0.134273 + 0.0613202i −0.481418 0.876491i \(-0.659878\pi\)
0.347146 + 0.937811i \(0.387151\pi\)
\(234\) −4.97622 1.46115i −0.325306 0.0955184i
\(235\) −19.0238 9.29199i −1.24098 0.606143i
\(236\) −5.46898 + 1.60584i −0.356000 + 0.104531i
\(237\) 5.68769 8.85021i 0.369455 0.574883i
\(238\) −0.512119 0.233877i −0.0331958 0.0151600i
\(239\) 1.57070 1.81268i 0.101600 0.117253i −0.702672 0.711514i \(-0.748010\pi\)
0.804272 + 0.594261i \(0.202555\pi\)
\(240\) 1.25733 1.84909i 0.0811601 0.119358i
\(241\) −0.872905 6.07119i −0.0562288 0.391080i −0.998429 0.0560296i \(-0.982156\pi\)
0.942200 0.335050i \(-0.108753\pi\)
\(242\) 8.53427 1.22704i 0.548604 0.0788773i
\(243\) −0.540641 0.841254i −0.0346821 0.0539664i
\(244\) −1.42449 + 1.64395i −0.0911935 + 0.105243i
\(245\) −26.2517 0.681599i −1.67716 0.0435458i
\(246\) −6.50989 4.18366i −0.415056 0.266740i
\(247\) −6.71715 22.8765i −0.427402 1.45560i
\(248\) 6.27950 5.44122i 0.398749 0.345518i
\(249\) 3.11667 + 0.915137i 0.197511 + 0.0579944i
\(250\) 11.1568 0.725375i 0.705617 0.0458767i
\(251\) 0.669302 4.65509i 0.0422459 0.293827i −0.957735 0.287652i \(-0.907125\pi\)
0.999981 0.00617495i \(-0.00196556\pi\)
\(252\) 4.32944i 0.272729i
\(253\) 17.9956 + 11.2901i 1.13137 + 0.709804i
\(254\) −0.167069 −0.0104828
\(255\) 0.281030 0.0746520i 0.0175988 0.00467489i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) −7.38123 + 25.1382i −0.460428 + 1.56808i 0.322879 + 0.946440i \(0.395349\pi\)
−0.783307 + 0.621635i \(0.786469\pi\)
\(258\) −3.66227 + 3.17337i −0.228003 + 0.197566i
\(259\) 46.9180 13.7764i 2.91534 0.856022i
\(260\) 11.4322 + 1.94780i 0.708994 + 0.120797i
\(261\) −1.52287 + 3.33462i −0.0942633 + 0.206408i
\(262\) −10.2504 8.88202i −0.633271 0.548733i
\(263\) −12.5138 19.4718i −0.771633 1.20068i −0.975135 0.221610i \(-0.928869\pi\)
0.203502 0.979074i \(-0.434768\pi\)
\(264\) 0.630409 + 4.38459i 0.0387990 + 0.269853i
\(265\) −7.00893 11.5549i −0.430555 0.709813i
\(266\) 16.7436 10.7605i 1.02662 0.659766i
\(267\) −8.52907 7.39048i −0.521971 0.452290i
\(268\) 5.94079 + 2.71307i 0.362891 + 0.165727i
\(269\) 8.98322 + 5.77316i 0.547716 + 0.351996i 0.785050 0.619432i \(-0.212637\pi\)
−0.237334 + 0.971428i \(0.576273\pi\)
\(270\) 1.41996 + 1.72734i 0.0864159 + 0.105123i
\(271\) −15.7156 18.1368i −0.954656 1.10173i −0.994729 0.102535i \(-0.967305\pi\)
0.0400732 0.999197i \(-0.487241\pi\)
\(272\) −0.0366362 + 0.124771i −0.00222140 + 0.00756538i
\(273\) 20.4247 9.32765i 1.23616 0.564535i
\(274\) 2.41982 16.8302i 0.146187 1.01675i
\(275\) −15.3532 + 15.9634i −0.925832 + 0.962630i
\(276\) −2.54875 + 4.06250i −0.153416 + 0.244534i
\(277\) 21.0021i 1.26189i −0.775826 0.630947i \(-0.782666\pi\)
0.775826 0.630947i \(-0.217334\pi\)
\(278\) 1.38594 + 0.199268i 0.0831233 + 0.0119513i
\(279\) 3.45167 + 7.55811i 0.206646 + 0.452492i
\(280\) 1.12856 + 9.61492i 0.0674445 + 0.574601i
\(281\) −10.4306 12.0375i −0.622235 0.718098i 0.353895 0.935285i \(-0.384857\pi\)
−0.976130 + 0.217188i \(0.930312\pi\)
\(282\) 2.66754 + 9.08479i 0.158849 + 0.540992i
\(283\) 17.1654 26.7098i 1.02038 1.58774i 0.231832 0.972756i \(-0.425528\pi\)
0.788543 0.614979i \(-0.210836\pi\)
\(284\) −0.981622 + 2.14945i −0.0582485 + 0.127547i
\(285\) −3.15111 + 9.78468i −0.186656 + 0.579594i
\(286\) −19.3267 + 12.4205i −1.14281 + 0.734439i
\(287\) 33.1616 4.76792i 1.95747 0.281442i
\(288\) −0.989821 + 0.142315i −0.0583258 + 0.00838598i
\(289\) 14.2871 9.18175i 0.840417 0.540103i
\(290\) 2.51278 7.80257i 0.147556 0.458183i
\(291\) −2.80158 + 6.13461i −0.164232 + 0.359617i
\(292\) 0.365503 0.568734i 0.0213895 0.0332826i
\(293\) 5.59145 + 19.0427i 0.326656 + 1.11249i 0.945133 + 0.326686i \(0.105932\pi\)
−0.618477 + 0.785803i \(0.712250\pi\)
\(294\) 7.69073 + 8.87557i 0.448532 + 0.517634i
\(295\) 1.48579 + 12.6584i 0.0865061 + 0.736999i
\(296\) −4.69189 10.2738i −0.272711 0.597153i
\(297\) −4.38459 0.630409i −0.254420 0.0365800i
\(298\) 10.4389i 0.604708i
\(299\) −24.6566 3.27151i −1.42593 0.189196i
\(300\) −3.60374 3.46598i −0.208062 0.200109i
\(301\) 2.98576 20.7664i 0.172096 1.19696i
\(302\) 1.36790 0.624700i 0.0787139 0.0359474i
\(303\) 3.36994 11.4770i 0.193598 0.659335i
\(304\) −3.01050 3.47430i −0.172664 0.199265i
\(305\) 3.08877 + 3.75741i 0.176862 + 0.215149i
\(306\) −0.109396 0.0703044i −0.00625374 0.00401903i
\(307\) 14.0742 + 6.42745i 0.803255 + 0.366834i 0.774358 0.632748i \(-0.218073\pi\)
0.0288971 + 0.999582i \(0.490800\pi\)
\(308\) −14.4938 12.5589i −0.825860 0.715612i
\(309\) 10.2552 6.59060i 0.583397 0.374926i
\(310\) −9.63573 15.8855i −0.547273 0.902233i
\(311\) 2.03509 + 14.1544i 0.115399 + 0.802621i 0.962518 + 0.271217i \(0.0874262\pi\)
−0.847119 + 0.531404i \(0.821665\pi\)
\(312\) −2.80393 4.36300i −0.158741 0.247006i
\(313\) −21.6139 18.7286i −1.22169 1.05860i −0.996440 0.0843014i \(-0.973134\pi\)
−0.225252 0.974301i \(-0.572320\pi\)
\(314\) −5.90022 + 12.9197i −0.332969 + 0.729100i
\(315\) −9.54340 1.62599i −0.537710 0.0916141i
\(316\) 10.0941 2.96390i 0.567839 0.166733i
\(317\) −20.1190 + 17.4332i −1.12999 + 0.979145i −0.999924 0.0123598i \(-0.996066\pi\)
−0.130070 + 0.991505i \(0.541520\pi\)
\(318\) −1.70275 + 5.79904i −0.0954855 + 0.325194i
\(319\) 6.74582 + 14.7713i 0.377694 + 0.827033i
\(320\) 2.16112 0.574074i 0.120810 0.0320917i
\(321\) −15.6575 −0.873917
\(322\) −3.17849 20.5185i −0.177130 1.14345i
\(323\) 0.597810i 0.0332630i
\(324\) 0.142315 0.989821i 0.00790638 0.0549901i
\(325\) 8.58707 24.4685i 0.476325 1.35727i
\(326\) 5.18993 + 1.52390i 0.287444 + 0.0844011i
\(327\) −6.58754 + 5.70814i −0.364292 + 0.315661i
\(328\) −2.18014 7.42487i −0.120378 0.409970i
\(329\) −34.4852 22.1623i −1.90123 1.22185i
\(330\) 9.90172 + 0.257088i 0.545072 + 0.0141523i
\(331\) −2.88719 + 3.33200i −0.158694 + 0.183143i −0.829529 0.558464i \(-0.811391\pi\)
0.670834 + 0.741607i \(0.265936\pi\)
\(332\) 1.75613 + 2.73260i 0.0963804 + 0.149971i
\(333\) 11.1795 1.60737i 0.612633 0.0880834i
\(334\) 1.03331 + 7.18682i 0.0565402 + 0.393245i
\(335\) 8.21158 12.0764i 0.448646 0.659802i
\(336\) 2.83518 3.27197i 0.154672 0.178501i
\(337\) −28.8079 13.1561i −1.56927 0.716661i −0.574470 0.818525i \(-0.694792\pi\)
−0.994798 + 0.101864i \(0.967519\pi\)
\(338\) 7.51369 11.6915i 0.408691 0.635936i
\(339\) 14.2120 4.17303i 0.771892 0.226648i
\(340\) 0.261275 + 0.127617i 0.0141696 + 0.00692101i
\(341\) 35.3152 + 10.3695i 1.91242 + 0.561538i
\(342\) 4.18173 1.90973i 0.226122 0.103266i
\(343\) −20.3301 2.92303i −1.09772 0.157829i
\(344\) −4.84588 −0.261272
\(345\) 7.99776 + 7.14394i 0.430585 + 0.384617i
\(346\) 3.36646 0.180982
\(347\) 28.1428 + 4.04632i 1.51078 + 0.217218i 0.847357 0.531023i \(-0.178192\pi\)
0.663427 + 0.748241i \(0.269101\pi\)
\(348\) −3.33462 + 1.52287i −0.178754 + 0.0816344i
\(349\) −18.4777 5.42555i −0.989089 0.290423i −0.253118 0.967435i \(-0.581456\pi\)
−0.735971 + 0.677013i \(0.763274\pi\)
\(350\) 21.6180 + 1.12334i 1.15553 + 0.0600450i
\(351\) 4.97622 1.46115i 0.265611 0.0779905i
\(352\) −2.39486 + 3.72648i −0.127647 + 0.198622i
\(353\) 21.1927 + 9.67839i 1.12798 + 0.515129i 0.889917 0.456122i \(-0.150762\pi\)
0.238058 + 0.971251i \(0.423489\pi\)
\(354\) 3.73262 4.30767i 0.198386 0.228950i
\(355\) 4.36938 + 2.97105i 0.231903 + 0.157687i
\(356\) −1.60610 11.1707i −0.0851234 0.592046i
\(357\) 0.557266 0.0801227i 0.0294936 0.00424054i
\(358\) −4.21999 6.56643i −0.223033 0.347047i
\(359\) 2.58966 2.98863i 0.136677 0.157734i −0.683285 0.730152i \(-0.739449\pi\)
0.819962 + 0.572418i \(0.193995\pi\)
\(360\) −0.0580378 + 2.23531i −0.00305886 + 0.117811i
\(361\) 1.79514 + 1.15367i 0.0944813 + 0.0607194i
\(362\) −3.15407 10.7418i −0.165774 0.564575i
\(363\) −6.51609 + 5.64623i −0.342006 + 0.296350i
\(364\) 21.5443 + 6.32597i 1.12923 + 0.331571i
\(365\) −1.11639 1.01928i −0.0584346 0.0533514i
\(366\) 0.309571 2.15311i 0.0161815 0.112545i
\(367\) 11.7978i 0.615841i −0.951412 0.307921i \(-0.900367\pi\)
0.951412 0.307921i \(-0.0996331\pi\)
\(368\) −4.58658 + 1.40116i −0.239092 + 0.0730404i
\(369\) 7.73833 0.402841
\(370\) −24.4087 + 6.48386i −1.26895 + 0.337080i
\(371\) −10.8700 23.8019i −0.564341 1.23573i
\(372\) −2.34091 + 7.97240i −0.121370 + 0.413350i
\(373\) 1.12204 0.972249i 0.0580968 0.0503411i −0.625328 0.780362i \(-0.715035\pi\)
0.683425 + 0.730021i \(0.260490\pi\)
\(374\) −0.552697 + 0.162287i −0.0285793 + 0.00839164i
\(375\) −8.99352 + 6.64204i −0.464423 + 0.342993i
\(376\) −3.93329 + 8.61269i −0.202844 + 0.444166i
\(377\) −14.3687 12.4505i −0.740024 0.641235i
\(378\) 2.34067 + 3.64216i 0.120391 + 0.187332i
\(379\) 4.83760 + 33.6463i 0.248491 + 1.72829i 0.606943 + 0.794745i \(0.292396\pi\)
−0.358452 + 0.933548i \(0.616695\pi\)
\(380\) −8.78906 + 5.33123i −0.450869 + 0.273486i
\(381\) 0.140547 0.0903243i 0.00720046 0.00462745i
\(382\) −3.90150 3.38067i −0.199618 0.172970i
\(383\) 7.87154 + 3.59481i 0.402217 + 0.183686i 0.606244 0.795279i \(-0.292676\pi\)
−0.204027 + 0.978965i \(0.565403\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) −33.1271 + 27.2320i −1.68831 + 1.38787i
\(386\) −9.24120 10.6649i −0.470365 0.542830i
\(387\) 1.36524 4.64959i 0.0693991 0.236352i
\(388\) −6.13461 + 2.80158i −0.311438 + 0.142229i
\(389\) 0.163107 1.13444i 0.00826986 0.0575181i −0.985269 0.171014i \(-0.945296\pi\)
0.993538 + 0.113496i \(0.0362048\pi\)
\(390\) −10.6704 + 4.54212i −0.540318 + 0.229999i
\(391\) −0.570074 0.252880i −0.0288299 0.0127887i
\(392\) 11.7441i 0.593165i
\(393\) 13.4252 + 1.93025i 0.677210 + 0.0973681i
\(394\) −9.66807 21.1701i −0.487071 1.06654i
\(395\) −2.74233 23.3636i −0.137982 1.17555i
\(396\) −2.90082 3.34773i −0.145772 0.168230i
\(397\) 3.28363 + 11.1830i 0.164801 + 0.561260i 0.999937 + 0.0112170i \(0.00357055\pi\)
−0.835136 + 0.550043i \(0.814611\pi\)
\(398\) 1.11233 1.73082i 0.0557560 0.0867581i
\(399\) −8.26806 + 18.1045i −0.413921 + 0.906360i
\(400\) −0.453791 4.97936i −0.0226896 0.248968i
\(401\) 4.53485 2.91437i 0.226460 0.145537i −0.422491 0.906367i \(-0.638844\pi\)
0.648951 + 0.760830i \(0.275208\pi\)
\(402\) −6.46450 + 0.929455i −0.322420 + 0.0463570i
\(403\) −42.6542 + 6.13275i −2.12476 + 0.305494i
\(404\) 10.0627 6.46688i 0.500636 0.321739i
\(405\) −2.12842 0.685448i −0.105762 0.0340602i
\(406\) 6.59318 14.4370i 0.327214 0.716499i
\(407\) 27.0487 42.0886i 1.34075 2.08626i
\(408\) −0.0366362 0.124771i −0.00181376 0.00617711i
\(409\) −10.9905 12.6838i −0.543447 0.627171i 0.415897 0.909412i \(-0.363468\pi\)
−0.959344 + 0.282240i \(0.908922\pi\)
\(410\) −17.1854 + 2.01716i −0.848729 + 0.0996205i
\(411\) 7.06342 + 15.4667i 0.348413 + 0.762918i
\(412\) 12.0663 + 1.73487i 0.594463 + 0.0854708i
\(413\) 24.6772i 1.21429i
\(414\) −0.0522116 4.79555i −0.00256606 0.235688i
\(415\) 6.68302 2.84478i 0.328056 0.139645i
\(416\) 0.738088 5.13352i 0.0361877 0.251691i
\(417\) −1.27366 + 0.581662i −0.0623715 + 0.0284841i
\(418\) 5.73718 19.5391i 0.280615 0.955686i
\(419\) −3.01980 3.48503i −0.147527 0.170255i 0.677176 0.735821i \(-0.263203\pi\)
−0.824703 + 0.565566i \(0.808658\pi\)
\(420\) −6.14762 7.47844i −0.299973 0.364910i
\(421\) 26.0890 + 16.7664i 1.27150 + 0.817144i 0.989815 0.142363i \(-0.0454700\pi\)
0.281686 + 0.959507i \(0.409106\pi\)
\(422\) 7.81630 + 3.56959i 0.380492 + 0.173765i
\(423\) −7.15569 6.20044i −0.347921 0.301476i
\(424\) −5.08442 + 3.26756i −0.246921 + 0.158687i
\(425\) 0.379433 0.528000i 0.0184052 0.0256118i
\(426\) −0.336289 2.33894i −0.0162932 0.113322i
\(427\) 5.09156 + 7.92262i 0.246398 + 0.383402i
\(428\) −11.8332 10.2535i −0.571977 0.495621i
\(429\) 9.54360 20.8976i 0.460769 1.00894i
\(430\) −1.81994 + 10.6818i −0.0877655 + 0.515121i
\(431\) 2.18634 0.641967i 0.105312 0.0309225i −0.228652 0.973508i \(-0.573432\pi\)
0.333964 + 0.942586i \(0.391614\pi\)
\(432\) 0.755750 0.654861i 0.0363610 0.0315070i
\(433\) −11.1407 + 37.9416i −0.535386 + 1.82336i 0.0314192 + 0.999506i \(0.489997\pi\)
−0.566805 + 0.823852i \(0.691821\pi\)
\(434\) −14.9438 32.7224i −0.717326 1.57072i
\(435\) 2.10450 + 7.92245i 0.100903 + 0.379852i
\(436\) −8.71657 −0.417448
\(437\) 18.4164 12.1208i 0.880977 0.579818i
\(438\) 0.676055i 0.0323032i
\(439\) 4.84726 33.7134i 0.231347 1.60905i −0.460939 0.887432i \(-0.652487\pi\)
0.692286 0.721623i \(-0.256604\pi\)
\(440\) 7.31486 + 6.67854i 0.348722 + 0.318387i
\(441\) −11.2683 3.30869i −0.536588 0.157556i
\(442\) 0.509694 0.441652i 0.0242437 0.0210073i
\(443\) 4.12157 + 14.0368i 0.195821 + 0.666907i 0.997597 + 0.0692816i \(0.0220707\pi\)
−0.801776 + 0.597625i \(0.796111\pi\)
\(444\) 9.50151 + 6.10625i 0.450922 + 0.289790i
\(445\) −25.2268 0.654990i −1.19587 0.0310495i
\(446\) −0.0905778 + 0.104532i −0.00428898 + 0.00494975i
\(447\) 5.64369 + 8.78175i 0.266937 + 0.415362i
\(448\) 4.28537 0.616144i 0.202465 0.0291101i
\(449\) 1.11520 + 7.75640i 0.0526296 + 0.366047i 0.999068 + 0.0431628i \(0.0137434\pi\)
−0.946438 + 0.322884i \(0.895347\pi\)
\(450\) 4.90551 + 0.967440i 0.231248 + 0.0456055i
\(451\) 22.4475 25.9058i 1.05701 1.21986i
\(452\) 13.4735 + 6.15314i 0.633740 + 0.289419i
\(453\) −0.813014 + 1.26507i −0.0381987 + 0.0594384i
\(454\) 22.0710 6.48062i 1.03584 0.304151i
\(455\) 22.0356 45.1143i 1.03305 2.11499i
\(456\) 4.41094 + 1.29517i 0.206561 + 0.0606519i
\(457\) 26.9106 12.2897i 1.25883 0.574887i 0.329503 0.944154i \(-0.393119\pi\)
0.929323 + 0.369268i \(0.120391\pi\)
\(458\) 24.4879 + 3.52082i 1.14424 + 0.164517i
\(459\) 0.130039 0.00606970
\(460\) 1.36601 + 10.6364i 0.0636908 + 0.495927i
\(461\) −5.53416 −0.257752 −0.128876 0.991661i \(-0.541137\pi\)
−0.128876 + 0.991661i \(0.541137\pi\)
\(462\) 18.9828 + 2.72932i 0.883161 + 0.126979i
\(463\) −13.2473 + 6.04986i −0.615656 + 0.281161i −0.698733 0.715382i \(-0.746252\pi\)
0.0830772 + 0.996543i \(0.473525\pi\)
\(464\) −3.51741 1.03280i −0.163291 0.0479467i
\(465\) 16.6944 + 8.15423i 0.774185 + 0.378143i
\(466\) 2.16193 0.634800i 0.100149 0.0294065i
\(467\) −9.90652 + 15.4148i −0.458419 + 0.713314i −0.991117 0.132991i \(-0.957542\pi\)
0.532698 + 0.846305i \(0.321178\pi\)
\(468\) 4.71763 + 2.15447i 0.218072 + 0.0995904i
\(469\) 18.5165 21.3692i 0.855013 0.986738i
\(470\) 17.5078 + 11.9048i 0.807574 + 0.549127i
\(471\) −2.02132 14.0586i −0.0931377 0.647787i
\(472\) 5.64185 0.811175i 0.259687 0.0373374i
\(473\) −11.6052 18.0581i −0.533608 0.830311i
\(474\) −6.88931 + 7.95069i −0.316437 + 0.365187i
\(475\) 8.45077 + 21.3760i 0.387748 + 0.980796i
\(476\) 0.473622 + 0.304379i 0.0217085 + 0.0139512i
\(477\) −1.70275 5.79904i −0.0779636 0.265520i
\(478\) −1.81268 + 1.57070i −0.0829100 + 0.0718420i
\(479\) 0.555061 + 0.162981i 0.0253614 + 0.00744677i 0.294389 0.955686i \(-0.404884\pi\)
−0.269027 + 0.963133i \(0.586702\pi\)
\(480\) −1.50768 + 1.65133i −0.0688159 + 0.0753726i
\(481\) −8.33631 + 57.9803i −0.380103 + 2.64368i
\(482\) 6.13362i 0.279379i
\(483\) 13.7671 + 15.5429i 0.626424 + 0.707225i
\(484\) −8.62203 −0.391910
\(485\) 3.87159 + 14.5747i 0.175800 + 0.661804i
\(486\) 0.415415 + 0.909632i 0.0188436 + 0.0412617i
\(487\) 2.53374 8.62912i 0.114815 0.391023i −0.881955 0.471333i \(-0.843773\pi\)
0.996770 + 0.0803104i \(0.0255911\pi\)
\(488\) 1.64395 1.42449i 0.0744180 0.0644835i
\(489\) −5.18993 + 1.52390i −0.234697 + 0.0689132i
\(490\) 25.8875 + 4.41067i 1.16948 + 0.199254i
\(491\) −7.68195 + 16.8211i −0.346682 + 0.759127i 0.653316 + 0.757085i \(0.273377\pi\)
−0.999998 + 0.00204183i \(0.999350\pi\)
\(492\) 5.84824 + 5.06753i 0.263659 + 0.228462i
\(493\) −0.257729 0.401034i −0.0116075 0.0180617i
\(494\) 3.39311 + 23.5996i 0.152663 + 1.06180i
\(495\) −8.46885 + 5.13700i −0.380646 + 0.230891i
\(496\) −6.98995 + 4.49217i −0.313858 + 0.201704i
\(497\) 7.73164 + 6.69951i 0.346812 + 0.300514i
\(498\) −2.95471 1.34937i −0.132404 0.0604667i
\(499\) 5.44176 + 3.49721i 0.243607 + 0.156557i 0.656747 0.754111i \(-0.271932\pi\)
−0.413141 + 0.910667i \(0.635568\pi\)
\(500\) −11.1465 0.869784i −0.498485 0.0388979i
\(501\) −4.75476 5.48729i −0.212427 0.245154i
\(502\) −1.32498 + 4.51246i −0.0591367 + 0.201401i
\(503\) 8.33024 3.80429i 0.371427 0.169625i −0.220952 0.975285i \(-0.570916\pi\)
0.592379 + 0.805660i \(0.298189\pi\)
\(504\) −0.616144 + 4.28537i −0.0274452 + 0.190886i
\(505\) −10.4758 24.6099i −0.466166 1.09513i
\(506\) −16.2056 13.7362i −0.720428 0.610650i
\(507\) 13.8978i 0.617221i
\(508\) 0.165368 + 0.0237764i 0.00733704 + 0.00105491i
\(509\) −6.14887 13.4641i −0.272544 0.596787i 0.723025 0.690822i \(-0.242751\pi\)
−0.995569 + 0.0940342i \(0.970024\pi\)
\(510\) −0.288793 + 0.0338974i −0.0127880 + 0.00150100i
\(511\) −1.91674 2.21204i −0.0847916 0.0978547i
\(512\) −0.281733 0.959493i −0.0124509 0.0424040i
\(513\) −2.48541 + 3.86738i −0.109734 + 0.170749i
\(514\) 10.8836 23.8318i 0.480056 1.05118i
\(515\) 8.35585 25.9462i 0.368203 1.14332i
\(516\) 4.07661 2.61988i 0.179463 0.115334i
\(517\) −41.5147 + 5.96892i −1.82582 + 0.262513i
\(518\) −48.4010 + 6.95902i −2.12662 + 0.305762i
\(519\) −2.83205 + 1.82005i −0.124313 + 0.0798912i
\(520\) −11.0386 3.55494i −0.484076 0.155894i
\(521\) −11.9923 + 26.2594i −0.525390 + 1.15044i 0.441968 + 0.897031i \(0.354280\pi\)
−0.967358 + 0.253413i \(0.918447\pi\)
\(522\) 1.98194 3.08395i 0.0867470 0.134981i
\(523\) −1.62971 5.55030i −0.0712624 0.242697i 0.916157 0.400819i \(-0.131274\pi\)
−0.987420 + 0.158122i \(0.949456\pi\)
\(524\) 8.88202 + 10.2504i 0.388013 + 0.447790i
\(525\) −18.7936 + 10.7426i −0.820219 + 0.468845i
\(526\) 9.61528 + 21.0545i 0.419246 + 0.918021i
\(527\) −1.06949 0.153770i −0.0465878 0.00669832i
\(528\) 4.42968i 0.192777i
\(529\) −3.76813 22.6892i −0.163832 0.986488i
\(530\) 5.29315 + 12.4348i 0.229920 + 0.540132i
\(531\) −0.811175 + 5.64185i −0.0352020 + 0.244835i
\(532\) −18.1045 + 8.26806i −0.784931 + 0.358466i
\(533\) −11.3069 + 38.5076i −0.489755 + 1.66795i
\(534\) 7.39048 + 8.52907i 0.319817 + 0.369089i
\(535\) −27.0459 + 22.2330i −1.16930 + 0.961216i
\(536\) −5.49421 3.53091i −0.237314 0.152512i
\(537\) 7.10016 + 3.24253i 0.306394 + 0.139926i
\(538\) −8.07017 6.99285i −0.347930 0.301483i
\(539\) −43.7640 + 28.1254i −1.88505 + 1.21145i
\(540\) −1.15968 1.91184i −0.0499046 0.0822727i
\(541\) 1.10210 + 7.66528i 0.0473830 + 0.329556i 0.999701 + 0.0244491i \(0.00778315\pi\)
−0.952318 + 0.305107i \(0.901308\pi\)
\(542\) 12.9745 + 20.1888i 0.557304 + 0.867181i
\(543\) 8.46081 + 7.33134i 0.363088 + 0.314618i
\(544\) 0.0540201 0.118288i 0.00231609 0.00507154i
\(545\) −3.27364 + 19.2140i −0.140227 + 0.823036i
\(546\) −21.5443 + 6.32597i −0.922010 + 0.270726i
\(547\) −33.9771 + 29.4414i −1.45276 + 1.25882i −0.545590 + 0.838052i \(0.683694\pi\)
−0.907168 + 0.420769i \(0.861760\pi\)
\(548\) −4.79038 + 16.3145i −0.204635 + 0.696923i
\(549\) 0.903633 + 1.97868i 0.0385661 + 0.0844480i
\(550\) 17.4687 13.6159i 0.744869 0.580586i
\(551\) 16.8527 0.717951
\(552\) 3.10096 3.65842i 0.131985 0.155713i
\(553\) 45.5469i 1.93685i
\(554\) −2.98891 + 20.7883i −0.126987 + 0.883212i
\(555\) 17.0285 18.6509i 0.722818 0.791687i
\(556\) −1.34348 0.394480i −0.0569761 0.0167297i
\(557\) −4.92060 + 4.26372i −0.208492 + 0.180660i −0.752847 0.658195i \(-0.771320\pi\)
0.544355 + 0.838855i \(0.316775\pi\)
\(558\) −2.34091 7.97240i −0.0990985 0.337499i
\(559\) 21.1425 + 13.5875i 0.894235 + 0.574690i
\(560\) 0.251271 9.67766i 0.0106181 0.408956i
\(561\) 0.377220 0.435335i 0.0159262 0.0183798i
\(562\) 8.61128 + 13.3994i 0.363245 + 0.565220i
\(563\) 22.1368 3.18279i 0.932953 0.134138i 0.340957 0.940079i \(-0.389249\pi\)
0.591996 + 0.805941i \(0.298340\pi\)
\(564\) −1.34748 9.37195i −0.0567393 0.394630i
\(565\) 18.6236 27.3888i 0.783499 1.15225i
\(566\) −20.7919 + 23.9951i −0.873947 + 1.00859i
\(567\) −3.93820 1.79852i −0.165389 0.0755305i
\(568\) 1.27753 1.98787i 0.0536039 0.0834094i
\(569\) −20.4960 + 6.01817i −0.859237 + 0.252295i −0.681531 0.731789i \(-0.738686\pi\)
−0.177705 + 0.984084i \(0.556867\pi\)
\(570\) 4.51155 9.23663i 0.188968 0.386880i
\(571\) −34.9176 10.2527i −1.46126 0.429064i −0.548011 0.836471i \(-0.684615\pi\)
−0.913247 + 0.407407i \(0.866433\pi\)
\(572\) 20.8976 9.54360i 0.873771 0.399038i
\(573\) 5.10987 + 0.734689i 0.213468 + 0.0306921i
\(574\) −33.5026 −1.39837
\(575\) 23.9590 + 0.983572i 0.999158 + 0.0410178i
\(576\) 1.00000 0.0416667
\(577\) −1.02641 0.147576i −0.0427302 0.00614367i 0.120917 0.992663i \(-0.461417\pi\)
−0.163647 + 0.986519i \(0.552326\pi\)
\(578\) −15.4484 + 7.05503i −0.642567 + 0.293451i
\(579\) 13.5401 + 3.97573i 0.562706 + 0.165226i
\(580\) −3.59763 + 7.36554i −0.149383 + 0.305838i
\(581\) 13.4934 3.96203i 0.559802 0.164373i
\(582\) 3.64611 5.67346i 0.151136 0.235173i
\(583\) −24.3530 11.1216i −1.00860 0.460611i
\(584\) −0.442722 + 0.510929i −0.0183200 + 0.0211424i
\(585\) 6.52088 9.58994i 0.269605 0.396495i
\(586\) −2.82448 19.6447i −0.116678 0.811513i
\(587\) −36.0409 + 5.18190i −1.48757 + 0.213880i −0.837684 0.546155i \(-0.816091\pi\)
−0.649883 + 0.760035i \(0.725182\pi\)
\(588\) −6.34932 9.87974i −0.261842 0.407434i
\(589\) 25.0142 28.8679i 1.03069 1.18948i
\(590\) 0.330807 12.7410i 0.0136191 0.524538i
\(591\) 19.5787 + 12.5825i 0.805362 + 0.517575i
\(592\) 3.18202 + 10.8370i 0.130780 + 0.445396i
\(593\) 13.7923 11.9511i 0.566383 0.490774i −0.323956 0.946072i \(-0.605013\pi\)
0.890339 + 0.455298i \(0.150467\pi\)
\(594\) 4.25024 + 1.24798i 0.174390 + 0.0512054i
\(595\) 0.848819 0.929693i 0.0347982 0.0381137i
\(596\) −1.48561 + 10.3326i −0.0608529 + 0.423241i
\(597\) 2.05743i 0.0842049i
\(598\) 23.9400 + 6.74720i 0.978979 + 0.275914i
\(599\) −34.3827 −1.40484 −0.702419 0.711763i \(-0.747897\pi\)
−0.702419 + 0.711763i \(0.747897\pi\)
\(600\) 3.07380 + 3.94357i 0.125487 + 0.160996i
\(601\) 7.34116 + 16.0749i 0.299452 + 0.655708i 0.998220 0.0596400i \(-0.0189953\pi\)
−0.698768 + 0.715348i \(0.746268\pi\)
\(602\) −5.91073 + 20.1301i −0.240904 + 0.820442i
\(603\) 4.93578 4.27688i 0.201001 0.174168i
\(604\) −1.44288 + 0.423668i −0.0587101 + 0.0172388i
\(605\) −3.23814 + 19.0056i −0.131649 + 0.772686i
\(606\) −4.96899 + 10.8806i −0.201851 + 0.441993i
\(607\) 29.6813 + 25.7190i 1.20473 + 1.04390i 0.997850 + 0.0655361i \(0.0208758\pi\)
0.206878 + 0.978367i \(0.433670\pi\)
\(608\) 2.48541 + 3.86738i 0.100797 + 0.156843i
\(609\) 2.25872 + 15.7098i 0.0915280 + 0.636592i
\(610\) −2.52259 4.15874i −0.102137 0.168383i
\(611\) 41.3103 26.5485i 1.67124 1.07404i
\(612\) 0.0982769 + 0.0851574i 0.00397261 + 0.00344228i
\(613\) −16.5249 7.54666i −0.667434 0.304807i 0.0527321 0.998609i \(-0.483207\pi\)
−0.720166 + 0.693802i \(0.755934\pi\)
\(614\) −13.0162 8.36499i −0.525290 0.337584i
\(615\) 13.3668 10.9881i 0.539000 0.443083i
\(616\) 12.5589 + 14.4938i 0.506014 + 0.583971i
\(617\) 1.17812 4.01232i 0.0474295 0.161530i −0.932373 0.361498i \(-0.882266\pi\)
0.979803 + 0.199968i \(0.0640837\pi\)
\(618\) −11.0887 + 5.06405i −0.446054 + 0.203706i
\(619\) −3.71707 + 25.8528i −0.149402 + 1.03911i 0.767800 + 0.640690i \(0.221351\pi\)
−0.917202 + 0.398423i \(0.869558\pi\)
\(620\) 7.27692 + 17.0951i 0.292248 + 0.686555i
\(621\) 2.63659 + 4.00604i 0.105803 + 0.160757i
\(622\) 14.2999i 0.573375i
\(623\) −48.3629 6.95354i −1.93762 0.278588i
\(624\) 2.15447 + 4.71763i 0.0862478 + 0.188856i
\(625\) −6.10349 + 24.2435i −0.244140 + 0.969740i
\(626\) 18.7286 + 21.6139i 0.748545 + 0.863867i
\(627\) 5.73718 + 19.5391i 0.229121 + 0.780315i
\(628\) 7.67882 11.9485i 0.306418 0.476796i
\(629\) −0.610129 + 1.33600i −0.0243274 + 0.0532696i
\(630\) 9.21486 + 2.96761i 0.367129 + 0.118232i
\(631\) 14.2367 9.14936i 0.566754 0.364230i −0.225668 0.974204i \(-0.572456\pi\)
0.792422 + 0.609974i \(0.208820\pi\)
\(632\) −10.4132 + 1.49719i −0.414214 + 0.0595550i
\(633\) −8.50536 + 1.22289i −0.338058 + 0.0486053i
\(634\) 22.3952 14.3925i 0.889426 0.571600i
\(635\) 0.114517 0.355592i 0.00454447 0.0141113i
\(636\) 2.51071 5.49769i 0.0995561 0.217997i
\(637\) 32.9295 51.2393i 1.30472 2.03018i
\(638\) −4.57499 15.5810i −0.181125 0.616857i
\(639\) 1.54743 + 1.78583i 0.0612154 + 0.0706463i
\(640\) −2.22082 + 0.260671i −0.0877857 + 0.0103039i
\(641\) 6.14154 + 13.4481i 0.242576 + 0.531168i 0.991286 0.131730i \(-0.0420533\pi\)
−0.748709 + 0.662899i \(0.769326\pi\)
\(642\) 15.4981 + 2.22830i 0.611663 + 0.0879438i
\(643\) 42.2702i 1.66697i 0.552539 + 0.833487i \(0.313659\pi\)
−0.552539 + 0.833487i \(0.686341\pi\)
\(644\) 0.226047 + 20.7620i 0.00890750 + 0.818139i
\(645\) −4.24397 9.97002i −0.167106 0.392569i
\(646\) −0.0850772 + 0.591725i −0.00334732 + 0.0232811i
\(647\) 6.49002 2.96389i 0.255149 0.116523i −0.283735 0.958903i \(-0.591573\pi\)
0.538884 + 0.842380i \(0.318846\pi\)
\(648\) −0.281733 + 0.959493i −0.0110675 + 0.0376924i
\(649\) 16.5343 + 19.0816i 0.649027 + 0.749017i
\(650\) −11.9819 + 22.9974i −0.469968 + 0.902030i
\(651\) 30.2626 + 19.4486i 1.18608 + 0.762250i
\(652\) −4.92023 2.24699i −0.192691 0.0879991i
\(653\) −13.6017 11.7860i −0.532277 0.461220i 0.346774 0.937949i \(-0.387277\pi\)
−0.879051 + 0.476728i \(0.841823\pi\)
\(654\) 7.33284 4.71253i 0.286737 0.184275i
\(655\) 25.9307 15.7290i 1.01320 0.614581i
\(656\) 1.10128 + 7.65956i 0.0429977 + 0.299056i
\(657\) −0.365503 0.568734i −0.0142596 0.0221884i
\(658\) 30.9801 + 26.8444i 1.20773 + 1.04650i
\(659\) 11.7345 25.6950i 0.457112 1.00094i −0.531024 0.847357i \(-0.678193\pi\)
0.988136 0.153580i \(-0.0490802\pi\)
\(660\) −9.76435 1.66363i −0.380077 0.0647568i
\(661\) −1.78876 + 0.525227i −0.0695747 + 0.0204290i −0.316335 0.948648i \(-0.602452\pi\)
0.246760 + 0.969077i \(0.420634\pi\)
\(662\) 3.33200 2.88719i 0.129502 0.112214i
\(663\) −0.190007 + 0.647103i −0.00737924 + 0.0251314i
\(664\) −1.34937 2.95471i −0.0523657 0.114665i
\(665\) 11.4259 + 43.0131i 0.443077 + 1.66798i
\(666\) −11.2945 −0.437652
\(667\) 7.12889 16.0708i 0.276032 0.622266i
\(668\) 7.26073i 0.280926i
\(669\) 0.0196844 0.136908i 0.000761045 0.00529318i
\(670\) −9.84664 + 10.7848i −0.380409 + 0.416654i
\(671\) 9.24535 + 2.71468i 0.356913 + 0.104799i
\(672\) −3.27197 + 2.83518i −0.126219 + 0.109370i
\(673\) −7.40395 25.2155i −0.285401 0.971987i −0.970008 0.243074i \(-0.921844\pi\)
0.684607 0.728913i \(-0.259974\pi\)
\(674\) 26.6424 + 17.1220i 1.02623 + 0.659516i
\(675\) −4.64982 + 1.83826i −0.178972 + 0.0707546i
\(676\) −9.10110 + 10.5032i −0.350042 + 0.403970i
\(677\) −1.41379 2.19989i −0.0543362 0.0845488i 0.813023 0.582232i \(-0.197821\pi\)
−0.867359 + 0.497683i \(0.834184\pi\)
\(678\) −14.6613 + 2.10797i −0.563062 + 0.0809561i
\(679\) 4.15531 + 28.9008i 0.159466 + 1.10911i
\(680\) −0.240454 0.163501i −0.00922097 0.00627000i
\(681\) −15.0636 + 17.3843i −0.577238 + 0.666168i
\(682\) −33.4800 15.2898i −1.28201 0.585476i
\(683\) 20.7875 32.3459i 0.795410 1.23768i −0.172158 0.985069i \(-0.555074\pi\)
0.967568 0.252612i \(-0.0812897\pi\)
\(684\) −4.41094 + 1.29517i −0.168657 + 0.0495221i
\(685\) 34.1631 + 16.6866i 1.30530 + 0.637563i
\(686\) 19.7072 + 5.78655i 0.752424 + 0.220932i
\(687\) −22.5040 + 10.2772i −0.858582 + 0.392101i
\(688\) 4.79655 + 0.689640i 0.182867 + 0.0262923i
\(689\) 31.3453 1.19416
\(690\) −6.89966 8.20943i −0.262666 0.312527i
\(691\) −9.12064 −0.346966 −0.173483 0.984837i \(-0.555502\pi\)
−0.173483 + 0.984837i \(0.555502\pi\)
\(692\) −3.33220 0.479098i −0.126671 0.0182126i
\(693\) −17.4449 + 7.96684i −0.662679 + 0.302635i
\(694\) −27.2805 8.01027i −1.03555 0.304066i
\(695\) −1.37412 + 2.81328i −0.0521232 + 0.106714i
\(696\) 3.51741 1.03280i 0.133327 0.0391483i
\(697\) −0.544038 + 0.846540i −0.0206069 + 0.0320650i
\(698\) 17.5175 + 7.99997i 0.663047 + 0.302803i
\(699\) −1.47553 + 1.70285i −0.0558097 + 0.0644079i
\(700\) −21.2381 4.18847i −0.802726 0.158309i
\(701\) −0.761652 5.29741i −0.0287672 0.200080i 0.970369 0.241626i \(-0.0776808\pi\)
−0.999137 + 0.0415459i \(0.986772\pi\)
\(702\) −5.13352 + 0.738088i −0.193752 + 0.0278573i
\(703\) −28.0714 43.6800i −1.05873 1.64742i
\(704\) 2.90082 3.34773i 0.109329 0.126172i
\(705\) −21.1647 0.549521i −0.797108 0.0206961i
\(706\) −19.5996 12.5959i −0.737642 0.474054i
\(707\) −14.5900 49.6889i −0.548713 1.86874i
\(708\) −4.30767 + 3.73262i −0.161892 + 0.140280i
\(709\) 44.8921 + 13.1815i 1.68596 + 0.495042i 0.977540 0.210752i \(-0.0675913\pi\)
0.708417 + 0.705794i \(0.249410\pi\)
\(710\) −3.90208 3.56264i −0.146442 0.133703i
\(711\) 1.49719 10.4132i 0.0561490 0.390525i
\(712\) 11.2856i 0.422945i
\(713\) −16.9473 36.0650i −0.634681 1.35065i
\(714\) −0.562996 −0.0210696
\(715\) −13.1886 49.6488i −0.493225 1.85676i
\(716\) 3.24253 + 7.10016i 0.121179 + 0.265345i
\(717\) 0.675741 2.30136i 0.0252360 0.0859460i
\(718\) −2.98863 + 2.58966i −0.111535 + 0.0966454i
\(719\) 8.83106 2.59303i 0.329343 0.0967039i −0.112881 0.993609i \(-0.536008\pi\)
0.442224 + 0.896905i \(0.354190\pi\)
\(720\) 0.375565 2.20430i 0.0139965 0.0821495i
\(721\) 21.9245 48.0080i 0.816512 1.78791i
\(722\) −1.61269 1.39740i −0.0600181 0.0520059i
\(723\) −3.31609 5.15993i −0.123327 0.191900i
\(724\) 1.59325 + 11.0813i 0.0592127 + 0.411834i
\(725\) 14.8847 + 10.6965i 0.552805 + 0.397258i
\(726\) 7.25331 4.66142i 0.269196 0.173002i
\(727\) 8.80672 + 7.63107i 0.326623 + 0.283021i 0.802700 0.596383i \(-0.203396\pi\)
−0.476077 + 0.879404i \(0.657942\pi\)
\(728\) −20.4247 9.32765i −0.756990 0.345706i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 0.959970 + 1.16778i 0.0355301 + 0.0432215i
\(731\) 0.412662 + 0.476238i 0.0152629 + 0.0176143i
\(732\) −0.612840 + 2.08714i −0.0226512 + 0.0771429i
\(733\) −8.45428 + 3.86094i −0.312266 + 0.142607i −0.565383 0.824829i \(-0.691272\pi\)
0.253117 + 0.967436i \(0.418544\pi\)
\(734\) −1.67901 + 11.6777i −0.0619732 + 0.431033i
\(735\) −24.1625 + 10.2853i −0.891248 + 0.379380i
\(736\) 4.73931 0.734158i 0.174693 0.0270614i
\(737\) 28.9301i 1.06565i
\(738\) −7.65956 1.10128i −0.281952 0.0405386i
\(739\) 13.3152 + 29.1563i 0.489808 + 1.07253i 0.979649 + 0.200718i \(0.0643276\pi\)
−0.489841 + 0.871812i \(0.662945\pi\)
\(740\) 25.0830 2.94415i 0.922070 0.108229i
\(741\) −15.6134 18.0188i −0.573572 0.661937i
\(742\) 7.37196 + 25.1066i 0.270633 + 0.921692i
\(743\) −1.77028 + 2.75461i −0.0649453 + 0.101057i −0.872207 0.489136i \(-0.837312\pi\)
0.807262 + 0.590193i \(0.200948\pi\)
\(744\) 3.45167 7.55811i 0.126544 0.277094i
\(745\) 22.2183 + 7.15531i 0.814016 + 0.262150i
\(746\) −1.24898 + 0.802671i −0.0457284 + 0.0293879i
\(747\) 3.21518 0.462274i 0.117637 0.0169137i
\(748\) 0.570167 0.0819777i 0.0208474 0.00299740i
\(749\) −57.0271 + 36.6491i −2.08373 + 1.33913i
\(750\) 9.84724 5.29452i 0.359570 0.193329i
\(751\) 9.25348 20.2623i 0.337664 0.739381i −0.662287 0.749250i \(-0.730414\pi\)
0.999951 + 0.00986870i \(0.00314135\pi\)
\(752\) 5.11896 7.96527i 0.186669 0.290463i
\(753\) −1.32498 4.51246i −0.0482849 0.164443i
\(754\) 12.4505 + 14.3687i 0.453421 + 0.523276i
\(755\) 0.391997 + 3.33966i 0.0142662 + 0.121543i
\(756\) −1.79852 3.93820i −0.0654114 0.143231i
\(757\) −9.17184 1.31871i −0.333356 0.0479294i −0.0263956 0.999652i \(-0.508403\pi\)
−0.306961 + 0.951722i \(0.599312\pi\)
\(758\) 33.9923i 1.23465i
\(759\) 21.0594 + 2.79423i 0.764408 + 0.101424i
\(760\) 9.45831 4.02615i 0.343089 0.146044i
\(761\) −1.44846 + 10.0742i −0.0525065 + 0.365191i 0.946580 + 0.322468i \(0.104512\pi\)
−0.999087 + 0.0427231i \(0.986397\pi\)
\(762\) −0.151971 + 0.0694029i −0.00550534 + 0.00251420i
\(763\) −10.6320 + 36.2092i −0.384904 + 1.31086i
\(764\) 3.38067 + 3.90150i 0.122308 + 0.141151i
\(765\) 0.224622 0.184650i 0.00812123 0.00667603i
\(766\) −7.27982 4.67846i −0.263031 0.169040i
\(767\) −26.8898 12.2802i −0.970936 0.443411i
\(768\) 0.755750 + 0.654861i 0.0272708 + 0.0236303i
\(769\) −37.2050 + 23.9102i −1.34165 + 0.862223i −0.997067 0.0765341i \(-0.975615\pi\)
−0.344579 + 0.938757i \(0.611978\pi\)
\(770\) 36.6654 22.2403i 1.32133 0.801486i
\(771\) 3.72857 + 25.9327i 0.134281 + 0.933945i
\(772\) 7.62936 + 11.8715i 0.274587 + 0.427265i
\(773\) −25.6222 22.2018i −0.921566 0.798541i 0.0582791 0.998300i \(-0.481439\pi\)
−0.979845 + 0.199759i