Properties

Label 690.2.r.b.169.8
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 169.8
Character \(\chi\) \(=\) 690.169
Dual form 690.2.r.b.49.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.989821 + 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(-2.12842 + 0.685448i) q^{5} +(-0.959493 + 0.281733i) q^{6} +(-2.34067 + 3.64216i) q^{7} +(0.909632 + 0.415415i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(0.989821 + 0.142315i) q^{2} +(-0.909632 + 0.415415i) q^{3} +(0.959493 + 0.281733i) q^{4} +(-2.12842 + 0.685448i) 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} +(-2.20430 + 0.375565i) 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} +(1.65133 - 1.50768i) 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} +(-2.23531 + 0.0580378i) q^{20} +(0.616144 - 4.28537i) q^{21} -4.42968i q^{22} +(3.10096 - 3.65842i) q^{23} -1.00000 q^{24} +(4.06032 - 2.91784i) 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} +(1.84909 - 1.25733i) 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} +(2.48542 - 9.35644i) 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} +(-2.22082 - 0.260671i) 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} +(4.43425 - 2.31029i) 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} +(4.34718 + 8.90012i) 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} +(2.00920 - 0.981376i) 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} +(8.95854 + 7.36433i) 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} +(-2.48129 + 4.34088i) 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} +(-2.16112 - 0.574074i) 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} +(0.163501 + 0.240454i) 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} +(-1.15968 + 1.91184i) q^{90} +22.4538 q^{91} +(4.00604 - 2.63659i) q^{92} -8.30897i q^{93} +(-1.34748 + 9.37195i) q^{94} +(10.2761 - 0.266809i) 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
\(5\) −2.12842 + 0.685448i −0.951857 + 0.306542i
\(6\) −0.959493 + 0.281733i −0.391711 + 0.115017i
\(7\) −2.34067 + 3.64216i −0.884691 + 1.37661i 0.0413342 + 0.999145i \(0.486839\pi\)
−0.926025 + 0.377461i \(0.876797\pi\)
\(8\) 0.909632 + 0.415415i 0.321603 + 0.146871i
\(9\) 0.654861 0.755750i 0.218287 0.251917i
\(10\) −2.20430 + 0.375565i −0.697062 + 0.118764i
\(11\) −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 \(-0.926322\pi\)
0.195661 0.980672i \(-0.437315\pi\)
\(14\) −2.83518 + 3.27197i −0.757734 + 0.874472i
\(15\) 1.65133 1.50768i 0.426372 0.389282i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) −0.0366362 0.124771i −0.00888559 0.0302615i 0.954931 0.296828i \(-0.0959289\pi\)
−0.963816 + 0.266567i \(0.914111\pi\)
\(18\) 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 \(0.767716\pi\)
\(20\) −2.23531 + 0.0580378i −0.499832 + 0.0129776i
\(21\) 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
\(25\) 4.06032 2.91784i 0.812065 0.583568i
\(26\) −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 \(0.519643\pi\)
\(30\) 1.84909 1.25733i 0.337596 0.229555i
\(31\) −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
\(35\) 2.48542 9.35644i 0.420113 1.58153i
\(36\) 0.841254 0.540641i 0.140209 0.0901068i
\(37\) −8.53579 7.39630i −1.40328 1.21594i −0.944973 0.327149i \(-0.893912\pi\)
−0.458302 0.888796i \(-0.651542\pi\)
\(38\) −4.18173 1.90973i −0.678365 0.309799i
\(39\) 4.36300 + 2.80393i 0.698639 + 0.448988i
\(40\) −2.22082 0.260671i −0.351143 0.0412158i
\(41\) 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 −0.722121 0.691766i \(-0.756833\pi\)
0.0499131 + 0.998754i \(0.484106\pi\)
\(44\) 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 \(0.242631\pi\)
−0.723286 + 0.690549i \(0.757369\pi\)
\(48\) −0.989821 0.142315i −0.142868 0.0205414i
\(49\) −4.87866 10.6828i −0.696952 1.52611i
\(50\) 4.43425 2.31029i 0.627097 0.326725i
\(51\) 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 −0.989771 0.142664i \(-0.954433\pi\)
0.540938 + 0.841063i \(0.318069\pi\)
\(54\) −0.415415 + 0.909632i −0.0565308 + 0.123785i
\(55\) 4.34718 + 8.90012i 0.586173 + 1.20009i
\(56\) −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 \(0.439177\pi\)
\(60\) 2.00920 0.981376i 0.259387 0.126695i
\(61\) −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
\(65\) 8.95854 + 7.36433i 1.11117 + 0.913433i
\(66\) 1.84015 + 4.02937i 0.226507 + 0.495982i
\(67\) −6.46450 0.929455i −0.789765 0.113551i −0.264383 0.964418i \(-0.585168\pi\)
−0.525382 + 0.850867i \(0.676077\pi\)
\(68\) 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 −0.969888 0.243551i \(-0.921688\pi\)
0.947596 + 0.319473i \(0.103506\pi\)
\(74\) −7.39630 8.53579i −0.859803 0.992265i
\(75\) −2.48129 + 4.34088i −0.286514 + 0.501241i
\(76\) −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 \(0.116595\pi\)
\(80\) −2.16112 0.574074i −0.241621 0.0641834i
\(81\) −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 0.509643 0.860386i \(-0.329778\pi\)
−0.779099 + 0.626901i \(0.784323\pi\)
\(84\) 1.79852 3.93820i 0.196234 0.429693i
\(85\) 0.163501 + 0.240454i 0.0177342 + 0.0260809i
\(86\) −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 \(-0.340455\pi\)
\(90\) −1.15968 + 1.91184i −0.122241 + 0.201526i
\(91\) 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
\(95\) 10.2761 0.266809i 1.05431 0.0273740i
\(96\) −0.959493 0.281733i −0.0979278 0.0287542i
\(97\) 5.09682 4.41642i 0.517504 0.448419i −0.356531 0.934284i \(-0.616040\pi\)
0.874034 + 0.485864i \(0.161495\pi\)
\(98\) −3.30869 11.2683i −0.334228 1.13828i
\(99\) −3.72648 2.39486i −0.374525 0.240693i
\(100\) 4.71790 1.65572i 0.471790 0.165572i
\(101\) 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 −0.708253 0.705959i \(-0.750516\pi\)
−0.480672 + 0.876900i \(0.659607\pi\)
\(104\) −0.738088 5.13352i −0.0723755 0.503383i
\(105\) 1.62599 + 9.54340i 0.158680 + 0.931341i
\(106\) −3.95788 + 4.56764i −0.384424 + 0.443649i
\(107\) 14.2426 + 6.50436i 1.37688 + 0.628800i 0.959959 0.280142i \(-0.0903814\pi\)
0.416922 + 0.908942i \(0.363109\pi\)
\(108\) −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 \(0.546166\pi\)
\(110\) 3.03631 + 9.42820i 0.289501 + 0.898944i
\(111\) 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 −0.587516 0.809212i \(-0.699894\pi\)
−0.791699 + 0.610911i \(0.790803\pi\)
\(114\) 4.59716 0.430564
\(115\) −4.09247 + 9.91220i −0.381625 + 0.924317i
\(116\) −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
\(120\) 2.12842 0.685448i 0.194297 0.0625725i
\(121\) −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
\(125\) −6.64204 + 8.99352i −0.594082 + 0.804405i
\(126\) 0.616144 + 4.28537i 0.0548905 + 0.381771i
\(127\) −0.165368 + 0.0237764i −0.0146741 + 0.00210981i −0.149648 0.988739i \(-0.547814\pi\)
0.134974 + 0.990849i \(0.456905\pi\)
\(128\) 0.540641 + 0.841254i 0.0477863 + 0.0743570i
\(129\) 3.17337 3.66227i 0.279400 0.322445i
\(130\) 7.81930 + 8.56431i 0.685798 + 0.751140i
\(131\) 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
\(135\) −0.0580378 2.23531i −0.00499510 0.192385i
\(136\) 0.0185065 0.128715i 0.00158692 0.0110373i
\(137\) 17.0033i 1.45269i −0.687331 0.726345i \(-0.741218\pi\)
0.687331 0.726345i \(-0.258782\pi\)
\(138\) −1.94465 + 4.38387i −0.165540 + 0.373180i
\(139\) −1.40019 −0.118763 −0.0593814 0.998235i \(-0.518913\pi\)
−0.0593814 + 0.998235i \(0.518913\pi\)
\(140\) 5.02076 8.27722i 0.424331 0.699553i
\(141\) −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
\(145\) 6.77858 4.60924i 0.562930 0.382776i
\(146\) −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 \(0.813907\pi\)
\(150\) −3.07380 + 3.94357i −0.250975 + 0.321991i
\(151\) −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
\(155\) 2.16591 18.4527i 0.173970 1.48216i
\(156\) 3.39631 + 3.91955i 0.271922 + 0.313815i
\(157\) −4.00150 + 13.6279i −0.319355 + 1.08762i 0.630827 + 0.775924i \(0.282716\pi\)
−0.950181 + 0.311698i \(0.899102\pi\)
\(158\) 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 0.348763 0.937211i \(-0.386602\pi\)
0.0705929 + 0.997505i \(0.477511\pi\)
\(164\) 3.21462 + 7.03903i 0.251019 + 0.549656i
\(165\) −7.65158 6.28995i −0.595674 0.489672i
\(166\) −2.12715 2.45486i −0.165099 0.190534i
\(167\) 2.04558 + 6.96662i 0.158292 + 0.539093i 1.00000 0.000840578i \(-0.000267564\pi\)
−0.841708 + 0.539933i \(0.818449\pi\)
\(168\) 2.34067 3.64216i 0.180587 0.280999i
\(169\) −5.77334 + 12.6418i −0.444103 + 0.972450i
\(170\) 0.127617 + 0.261275i 0.00978779 + 0.0200389i
\(171\) −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 −0.0144735 0.999895i \(-0.504607\pi\)
0.267816 + 0.963470i \(0.413698\pi\)
\(174\) 3.08395 1.98194i 0.233794 0.150250i
\(175\) 1.12334 + 21.6180i 0.0849165 + 1.63417i
\(176\) 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 \(0.678504\pi\)
\(180\) −1.41996 + 1.72734i −0.105837 + 0.128749i
\(181\) 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
\(190\) 10.2095 + 1.19835i 0.740673 + 0.0869373i
\(191\) 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 0.180272 0.983617i \(-0.442302\pi\)
−0.947950 + 0.318421i \(0.896848\pi\)
\(194\) 5.67346 3.64611i 0.407331 0.261776i
\(195\) −11.2082 2.97732i −0.802638 0.213211i
\(196\) −1.67135 11.6245i −0.119382 0.830324i
\(197\) −12.5825 19.5787i −0.896465 1.39493i −0.918607 0.395173i \(-0.870685\pi\)
0.0221415 0.999755i \(-0.492952\pi\)
\(198\) −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 \(0.159597\pi\)
\(200\) 4.90551 0.967440i 0.346872 0.0684083i
\(201\) 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
\(205\) −14.7945 8.97397i −1.03329 0.626769i
\(206\) −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
\(210\) 0.251271 + 9.67766i 0.0173394 + 0.667822i
\(211\) −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
\(215\) 8.00215 7.30604i 0.545742 0.498268i
\(216\) −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
\(220\) 1.66363 + 9.76435i 0.112162 + 0.658312i
\(221\) −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 −0.843748 0.536739i \(-0.819656\pi\)
0.838741 + 0.544531i \(0.183292\pi\)
\(224\) −4.15407 + 1.21974i −0.277555 + 0.0814976i
\(225\) 0.453791 4.97936i 0.0302527 0.331958i
\(226\) −14.2120 4.17303i −0.945370 0.277586i
\(227\) 20.9240 9.55568i 1.38878 0.634233i 0.426047 0.904701i \(-0.359906\pi\)
0.962729 + 0.270468i \(0.0871784\pi\)
\(228\) 4.55037 + 0.654244i 0.301356 + 0.0433284i
\(229\) −24.7397 −1.63484 −0.817422 0.576039i \(-0.804598\pi\)
−0.817422 + 0.576039i \(0.804598\pi\)
\(230\) −5.46147 + 9.22889i −0.360119 + 0.608535i
\(231\) −19.1780 −1.26182
\(232\) −3.62859 0.521712i −0.238228 0.0342521i
\(233\) 2.04958 0.936013i 0.134273 0.0613202i −0.347146 0.937811i \(-0.612849\pi\)
0.481418 + 0.876491i \(0.340122\pi\)
\(234\) −4.97622 1.46115i −0.325306 0.0955184i
\(235\) −6.49004 20.1526i −0.423364 1.31461i
\(236\) −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 \(0.202555\pi\)
\(240\) 2.20430 0.375565i 0.142287 0.0242426i
\(241\) −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
\(245\) 17.7063 + 19.3933i 1.13122 + 1.23900i
\(246\) −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
\(250\) −7.85434 + 7.95672i −0.496752 + 0.503227i
\(251\) 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
\(255\) −0.248614 0.150803i −0.0155688 0.00944367i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) 7.38123 25.1382i 0.460428 1.56808i −0.322879 0.946440i \(-0.604651\pi\)
0.783307 0.621635i \(-0.213531\pi\)
\(258\) 3.66227 3.17337i 0.228003 0.197566i
\(259\) 46.9180 13.7764i 2.91534 0.856022i
\(260\) 6.52088 + 9.58994i 0.404408 + 0.594743i
\(261\) −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 \(0.0711312\pi\)
−0.203502 + 0.979074i \(0.565232\pi\)
\(264\) 0.630409 + 4.38459i 0.0387990 + 0.269853i
\(265\) 3.46962 13.0615i 0.213137 0.802361i
\(266\) 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 \(0.576273\pi\)
\(270\) 0.260671 2.22082i 0.0158640 0.135155i
\(271\) −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 \(0.217334\pi\)
−0.775826 + 0.630947i \(0.782666\pi\)
\(278\) −1.38594 0.199268i −0.0831233 0.0119513i
\(279\) 3.45167 + 7.55811i 0.206646 + 0.452492i
\(280\) 6.14762 7.47844i 0.367391 0.446922i
\(281\) −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 \(0.574472\pi\)
−0.788543 + 0.614979i \(0.789164\pi\)
\(284\) −0.981622 + 2.14945i −0.0582485 + 0.127547i
\(285\) −9.23663 + 4.51155i −0.547131 + 0.267241i
\(286\) −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
\(290\) 7.36554 3.59763i 0.432520 0.211260i
\(291\) −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 \(-0.894068\pi\)
0.618477 0.785803i \(-0.287750\pi\)
\(294\) 7.69073 + 8.87557i 0.448532 + 0.517634i
\(295\) 8.09356 9.84563i 0.471226 0.573235i
\(296\) −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
\(305\) 0.567026 4.83085i 0.0324678 0.276614i
\(306\) −0.109396 0.0703044i −0.00625374 0.00401903i
\(307\) −14.0742 6.42745i −0.803255 0.366834i −0.0288971 0.999582i \(-0.509200\pi\)
−0.774358 + 0.632748i \(0.781927\pi\)
\(308\) 14.4938 + 12.5589i 0.825860 + 0.715612i
\(309\) 10.2552 6.59060i 0.583397 0.374926i
\(310\) 4.76997 17.9567i 0.270916 1.01987i
\(311\) 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 \(0.0268659\pi\)
0.225252 + 0.974301i \(0.427680\pi\)
\(314\) −5.90022 + 12.9197i −0.332969 + 0.729100i
\(315\) −5.44352 8.00552i −0.306708 0.451060i
\(316\) 10.0941 2.96390i 0.567839 0.166733i
\(317\) 20.1190 17.4332i 1.12999 0.979145i 0.130070 0.991505i \(-0.458480\pi\)
0.999924 + 0.0123598i \(0.00393435\pi\)
\(318\) 1.70275 5.79904i 0.0954855 0.325194i
\(319\) 6.74582 + 14.7713i 0.377694 + 0.827033i
\(320\) −1.91184 1.15968i −0.106875 0.0648280i
\(321\) −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
\(325\) −24.1154 9.53377i −1.33768 0.528838i
\(326\) 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
\(330\) −6.67854 7.31486i −0.367642 0.402670i
\(331\) −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
\(335\) 14.3963 2.45281i 0.786551 0.134011i
\(336\) 2.83518 3.27197i 0.154672 0.178501i
\(337\) 28.8079 + 13.1561i 1.56927 + 0.716661i 0.994798 0.101864i \(-0.0324808\pi\)
0.574470 + 0.818525i \(0.305208\pi\)
\(338\) −7.51369 + 11.6915i −0.408691 + 0.635936i
\(339\) 14.2120 4.17303i 0.771892 0.226648i
\(340\) 0.0891349 + 0.276777i 0.00483402 + 0.0150104i
\(341\) 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
\(345\) −0.395032 10.7165i −0.0212678 0.576958i
\(346\) 3.36646 0.180982
\(347\) −28.1428 4.04632i −1.51078 0.217218i −0.663427 0.748241i \(-0.730899\pi\)
−0.847357 + 0.531023i \(0.821808\pi\)
\(348\) 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 \(0.763274\pi\)
\(350\) −1.96466 + 21.5579i −0.105016 + 1.15232i
\(351\) 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 −0.238058 0.971251i \(-0.576511\pi\)
−0.889917 + 0.456122i \(0.849238\pi\)
\(354\) 3.73262 4.30767i 0.198386 0.228950i
\(355\) −0.887458 5.20875i −0.0471014 0.276452i
\(356\) −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 \(0.193995\pi\)
\(360\) −1.65133 + 1.50768i −0.0870328 + 0.0794618i
\(361\) 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
\(365\) −0.0392367 1.51120i −0.00205374 0.0790996i
\(366\) 0.309571 2.15311i 0.0161815 0.112545i
\(367\) 11.7978i 0.615841i 0.951412 + 0.307921i \(0.0996331\pi\)
−0.951412 + 0.307921i \(0.900367\pi\)
\(368\) 4.58658 1.40116i 0.239092 0.0730404i
\(369\) 7.73833 0.402841
\(370\) 21.5933 + 13.0979i 1.12258 + 0.680930i
\(371\) −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 −0.683425 0.730021i \(-0.739510\pi\)
0.625328 + 0.780362i \(0.284965\pi\)
\(374\) −0.552697 + 0.162287i −0.0285793 + 0.00839164i
\(375\) 2.30577 10.9400i 0.119069 0.564939i
\(376\) −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 \(0.616695\pi\)
\(380\) 9.93502 + 2.63911i 0.509656 + 0.135384i
\(381\) 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 0.204027 0.978965i \(-0.434597\pi\)
−0.606244 + 0.795279i \(0.707324\pi\)
\(384\) −0.841254 0.540641i −0.0429300 0.0275895i
\(385\) −42.5910 4.99916i −2.17064 0.254781i
\(386\) −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
\(395\) −14.9383 + 18.1721i −0.751629 + 0.914339i
\(396\) −2.90082 3.34773i −0.145772 0.168230i
\(397\) −3.28363 11.1830i −0.164801 0.561260i −0.999937 0.0112170i \(-0.996429\pi\)
0.835136 0.550043i \(-0.185389\pi\)
\(398\) −1.11233 + 1.73082i −0.0557560 + 0.0867581i
\(399\) −8.26806 + 18.1045i −0.413921 + 0.906360i
\(400\) 4.99326 0.259465i 0.249663 0.0129733i
\(401\) 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
\(405\) 0.981376 + 2.00920i 0.0487650 + 0.0998381i
\(406\) 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 \(0.908922\pi\)
\(410\) −13.3668 10.9881i −0.660137 0.542663i
\(411\) 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 \(0.808658\pi\)
\(420\) −1.12856 + 9.61492i −0.0550682 + 0.469160i
\(421\) 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
\(425\) −0.512818 0.399714i −0.0248753 0.0193890i
\(426\) −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
\(430\) 8.96046 6.09285i 0.432112 0.293823i
\(431\) 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 \(-0.510003\pi\)
0.566805 0.823852i \(-0.308179\pi\)
\(434\) −14.9438 32.7224i −0.717326 1.57072i
\(435\) −4.25126 + 7.00863i −0.203833 + 0.336038i
\(436\) −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 \(-0.256604\pi\)
\(440\) 0.257088 + 9.90172i 0.0122562 + 0.472046i
\(441\) −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 \(-0.977929\pi\)
0.801776 0.597625i \(-0.203889\pi\)
\(444\) 9.50151 + 6.10625i 0.450922 + 0.289790i
\(445\) 17.0151 + 18.6362i 0.806591 + 0.883442i
\(446\) −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 \(0.895347\pi\)
\(450\) 1.15781 4.86410i 0.0545797 0.229296i
\(451\) 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
\(455\) −47.7911 + 15.3909i −2.24048 + 0.721537i
\(456\) 4.41094 + 1.29517i 0.206561 + 0.0606519i
\(457\) −26.9106 + 12.2897i −1.25883 + 0.574887i −0.929323 0.369268i \(-0.879609\pi\)
−0.329503 + 0.944154i \(0.606881\pi\)
\(458\) −24.4879 3.52082i −1.14424 0.164517i
\(459\) 0.130039 0.00606970
\(460\) −6.71929 + 8.35770i −0.313288 + 0.389680i
\(461\) −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 −0.0830772 0.996543i \(-0.526475\pi\)
0.698733 + 0.715382i \(0.253748\pi\)
\(464\) −3.51741 1.03280i −0.163291 0.0479467i
\(465\) 5.69537 + 17.6850i 0.264116 + 0.820121i
\(466\) 2.16193 0.634800i 0.100149 0.0294065i
\(467\) 9.90652 15.4148i 0.458419 0.713314i −0.532698 0.846305i \(-0.678822\pi\)
0.991117 + 0.132991i \(0.0424582\pi\)
\(468\) −4.71763 2.15447i −0.218072 0.0995904i
\(469\) 18.5165 21.3692i 0.855013 0.986738i
\(470\) −3.55598 20.8711i −0.164025 0.962710i
\(471\) −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
\(475\) −21.6890 + 7.61161i −0.995157 + 0.349245i
\(476\) 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 \(0.586702\pi\)
\(480\) 2.23531 0.0580378i 0.102028 0.00264905i
\(481\) −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
\(485\) −7.82094 + 12.8936i −0.355130 + 0.585468i
\(486\) 0.415415 + 0.909632i 0.0188436 + 0.0412617i
\(487\) −2.53374 + 8.62912i −0.114815 + 0.391023i −0.996770 0.0803104i \(-0.974409\pi\)
0.881955 + 0.471333i \(0.156227\pi\)
\(488\) −1.64395 + 1.42449i −0.0744180 + 0.0644835i
\(489\) −5.18993 + 1.52390i −0.234697 + 0.0689132i
\(490\) 14.7661 + 21.7158i 0.667066 + 0.981021i
\(491\) −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
\(495\) 9.57306 + 2.54296i 0.430277 + 0.114298i
\(496\) −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 \(0.635568\pi\)
\(500\) −8.90675 + 6.75794i −0.398322 + 0.302224i
\(501\) −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 −0.592379 0.805660i \(-0.701811\pi\)
0.220952 + 0.975285i \(0.429084\pi\)
\(504\) −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 \(0.970024\pi\)
\(510\) −0.224622 0.184650i −0.00994643 0.00817643i
\(511\) −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
\(515\) 24.4929 11.9633i 1.07929 0.527167i
\(516\) 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
\(520\) 5.08972 + 10.4203i 0.223199 + 0.456962i
\(521\) −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 0.987420 0.158122i \(-0.0505438\pi\)
−0.916157 + 0.400819i \(0.868726\pi\)
\(524\) 8.88202 + 10.2504i 0.388013 + 0.447790i
\(525\) −10.0023 19.1978i −0.436536 0.837861i
\(526\) 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
\(535\) −34.7725 4.08146i −1.50335 0.176457i
\(536\) −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
\(540\) 0.574074 2.16112i 0.0247042 0.0929998i
\(541\) 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
\(545\) 16.1177 10.9596i 0.690407 0.469457i
\(546\) −21.5443 + 6.32597i −0.922010 + 0.270726i
\(547\) 33.9771 29.4414i 1.45276 1.25882i 0.545590 0.838052i \(-0.316306\pi\)
0.907168 0.420769i \(-0.138240\pi\)
\(548\) 4.79038 16.3145i 0.204635 0.696923i
\(549\) 0.903633 + 1.97868i 0.0385661 + 0.0844480i
\(550\) −12.9251 17.9859i −0.551127 0.766922i
\(551\) 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
\(555\) −25.2467 + 0.655506i −1.07166 + 0.0278247i
\(556\) −1.34348 0.394480i −0.0569761 0.0167297i
\(557\) 4.92060 4.26372i 0.208492 0.180660i −0.544355 0.838855i \(-0.683225\pi\)
0.752847 + 0.658195i \(0.228680\pi\)
\(558\) 2.34091 + 7.97240i 0.0990985 + 0.337499i
\(559\) 21.1425 + 13.5875i 0.894235 + 0.574690i
\(560\) 7.14934 6.52742i 0.302115 0.275834i
\(561\) 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 −0.591996 0.805941i \(-0.701660\pi\)
−0.340957 + 0.940079i \(0.610751\pi\)
\(564\) −1.34748 9.37195i −0.0567393 0.394630i
\(565\) 32.6502 5.56289i 1.37360 0.234032i
\(566\) −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 \(0.556867\pi\)
\(570\) −9.78468 + 3.15111i −0.409835 + 0.131986i
\(571\) −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
\(575\) 1.91620 23.9025i 0.0799109 0.996802i
\(576\) 1.00000 0.0416667
\(577\) 1.02641 + 0.147576i 0.0427302 + 0.00614367i 0.163647 0.986519i \(-0.447674\pi\)
−0.120917 + 0.992663i \(0.538583\pi\)
\(578\) 15.4484 7.05503i 0.642567 0.293451i
\(579\) 13.5401 + 3.97573i 0.562706 + 0.165226i
\(580\) 7.80257 2.51278i 0.323984 0.104338i
\(581\) 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
\(585\) 11.4322 1.94780i 0.472663 0.0805315i
\(586\) −2.82448 19.6447i −0.116678 0.811513i
\(587\) 36.0409 5.18190i 1.48757 0.213880i 0.649883 0.760035i \(-0.274818\pi\)
0.837684 + 0.546155i \(0.183909\pi\)
\(588\) 6.34932 + 9.87974i 0.261842 + 0.407434i
\(589\) 25.0142 28.8679i 1.03069 1.18948i
\(590\) 9.41236 8.59358i 0.387501 0.353792i
\(591\) 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 −0.890339 0.455298i \(-0.849533\pi\)
0.323956 + 0.946072i \(0.394987\pi\)
\(594\) 4.25024 + 1.24798i 0.174390 + 0.0512054i
\(595\) −1.25847 + 0.0326750i −0.0515924 + 0.00133955i
\(596\) −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 \(0.747897\pi\)
\(600\) −4.06032 + 2.91784i −0.165762 + 0.119120i
\(601\) 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
\(605\) 15.9429 10.8407i 0.648171 0.440737i
\(606\) −4.96899 + 10.8806i −0.201851 + 0.441993i
\(607\) −29.6813 25.7190i −1.20473 1.04390i −0.997850 0.0655361i \(-0.979124\pi\)
−0.206878 0.978367i \(-0.566330\pi\)
\(608\) −2.48541 3.86738i −0.100797 0.156843i
\(609\) 2.25872 + 15.7098i 0.0915280 + 0.636592i
\(610\) 1.24876 4.70098i 0.0505607 0.190337i
\(611\) 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 0.720166 0.693802i \(-0.244066\pi\)
−0.0527321 + 0.998609i \(0.516793\pi\)
\(614\) −13.0162 8.36499i −0.525290 0.337584i
\(615\) 17.1854 + 2.01716i 0.692984 + 0.0813398i
\(616\) 12.5589 + 14.4938i 0.506014 + 0.583971i
\(617\) −1.17812 + 4.01232i −0.0474295 + 0.161530i −0.979803 0.199968i \(-0.935916\pi\)
0.932373 + 0.361498i \(0.117734\pi\)
\(618\) 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
\(625\) 7.97244 23.6947i 0.318898 0.947789i
\(626\) 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
\(630\) −4.24881 8.69873i −0.169277 0.346566i
\(631\) 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
\(635\) 0.335675 0.163957i 0.0133209 0.00650645i
\(636\) 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
\(640\) −1.72734 1.41996i −0.0682793 0.0561288i
\(641\) 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 \(-0.686341\pi\)
0.552539 0.833487i \(-0.313659\pi\)
\(644\) 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 −0.538884 0.842380i \(-0.681154\pi\)
0.283735 + 0.958903i \(0.408427\pi\)
\(648\) 0.281733 0.959493i 0.0110675 0.0376924i
\(649\) 16.5343 + 19.0816i 0.649027 + 0.749017i
\(650\) −22.5131 12.8687i −0.883037 0.504752i
\(651\) 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 0.879051 0.476728i \(-0.158177\pi\)
−0.346774 + 0.937949i \(0.612723\pi\)
\(654\) 7.33284 4.71253i 0.286737 0.184275i
\(655\) −29.3117 7.78629i −1.14530 0.304236i
\(656\) 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 \(-0.0490802\pi\)
\(660\) −5.56955 8.19086i −0.216794 0.318829i
\(661\) −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
\(665\) −23.0812 + 38.0517i −0.895052 + 1.47558i
\(666\) −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
\(670\) 14.5988 0.379043i 0.564001 0.0146437i
\(671\) 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 \(0.0781558\pi\)
−0.684607 + 0.728913i \(0.740026\pi\)
\(674\) 26.6424 + 17.1220i 1.02623 + 0.659516i
\(675\) 1.65572 + 4.71790i 0.0637287 + 0.181592i
\(676\) −9.10110 + 10.5032i −0.350042 + 0.403970i
\(677\) 1.41379 + 2.19989i 0.0543362 + 0.0845488i 0.867359 0.497683i \(-0.165816\pi\)
−0.813023 + 0.582232i \(0.802179\pi\)
\(678\) 14.6613 2.10797i 0.563062 0.0809561i
\(679\) 4.15531 + 28.9008i 0.159466 + 1.10911i
\(680\) 0.0488381 + 0.286645i 0.00187286 + 0.0109923i
\(681\) −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 \(0.444926\pi\)
−0.967568 + 0.252612i \(0.918710\pi\)
\(684\) −4.41094 + 1.29517i −0.168657 + 0.0495221i
\(685\) 11.6549 + 36.1901i 0.445310 + 1.38275i
\(686\) 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
\(690\) 1.13411 10.6637i 0.0431748 0.405959i
\(691\) −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
\(695\) 2.98020 0.959760i 0.113045 0.0364058i
\(696\) 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
\(700\) −5.01267 + 21.0588i −0.189461 + 0.795949i
\(701\) −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
\(705\) 14.2752 + 15.6353i 0.537636 + 0.588861i
\(706\) −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 \(0.249410\pi\)
\(710\) −0.137143 5.28203i −0.00514687 0.198231i
\(711\) 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
\(715\) 26.6420 43.9220i 0.996356 1.64259i
\(716\) 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 \(0.354190\pi\)
\(720\) −1.84909 + 1.25733i −0.0689115 + 0.0468578i
\(721\) 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
\(725\) −11.2683 + 14.4567i −0.418492 + 0.536910i
\(726\) 7.25331 4.66142i 0.269196 0.173002i
\(727\) −8.80672 7.63107i −0.326623 0.283021i 0.476077 0.879404i \(-0.342058\pi\)
−0.802700 + 0.596383i \(0.796604\pi\)
\(728\) 20.4247 + 9.32765i 0.756990 + 0.345706i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 0.176228 1.50140i 0.00652250 0.0555693i
\(731\) 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 −0.253117 0.967436i \(-0.581456\pi\)
0.565383 + 0.824829i \(0.308728\pi\)
\(734\) −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 \(0.662945\pi\)
\(740\) 19.5094 + 16.0377i 0.717181 + 0.589556i
\(741\) −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 −0.807262 0.590193i \(-0.799052\pi\)
0.872207 + 0.489136i \(0.162688\pi\)
\(744\) 3.45167 7.55811i 0.126544 0.277094i
\(745\) −10.2445 20.9738i −0.375328 0.768422i
\(746\) −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
\(750\) 3.83922 10.5005i 0.140189 0.383424i
\(751\) 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
\(755\) 2.13533 2.59758i 0.0777125 0.0945354i
\(756\) −1.79852 3.93820i −0.0654114 0.143231i
\(757\) 9.17184 + 1.31871i 0.333356 + 0.0479294i 0.306961 0.951722i \(-0.400688\pi\)
0.0263956 + 0.999652i \(0.491597\pi\)
\(758\) 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
\(765\) 0.288793 + 0.0338974i 0.0104413 + 0.00122556i
\(766\) −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 \(0.611978\pi\)
\(770\) −41.4460 11.0096i −1.49361 0.396759i
\(771\) 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 0.979845 0.199759i \(-0.0640159\pi\)
−0.0582791 + 0.998300i