Properties

Label 354.2.e.b.133.2
Level 354
Weight 2
Character 354.133
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 133.2
Character \(\chi\) = 354.133
Dual form 354.2.e.b.181.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.994138 - 0.108119i) q^{2} +(-0.647386 - 0.762162i) q^{3} +(0.976621 - 0.214970i) q^{4} +(2.26091 - 1.71870i) q^{5} +(-0.725995 - 0.687699i) q^{6} +(0.732533 + 1.83852i) q^{7} +(0.947653 - 0.319302i) q^{8} +(-0.161782 + 0.986827i) q^{9} +O(q^{10})\) \(q+(0.994138 - 0.108119i) q^{2} +(-0.647386 - 0.762162i) q^{3} +(0.976621 - 0.214970i) q^{4} +(2.26091 - 1.71870i) q^{5} +(-0.725995 - 0.687699i) q^{6} +(0.732533 + 1.83852i) q^{7} +(0.947653 - 0.319302i) q^{8} +(-0.161782 + 0.986827i) q^{9} +(2.06183 - 1.95307i) q^{10} +(-0.851752 - 0.394062i) q^{11} +(-0.796093 - 0.605174i) q^{12} +(-0.231097 - 1.40963i) q^{13} +(0.927018 + 1.74854i) q^{14} +(-2.77361 - 0.610518i) q^{15} +(0.907575 - 0.419889i) q^{16} +(1.28555 - 3.22650i) q^{17} +(-0.0541389 + 0.998533i) q^{18} +(-1.42801 + 2.10615i) q^{19} +(1.83858 - 2.16455i) q^{20} +(0.927018 - 1.74854i) q^{21} +(-0.889364 - 0.299662i) q^{22} +(-0.00226748 - 0.0418212i) q^{23} +(-0.856857 - 0.515554i) q^{24} +(0.820149 - 2.95391i) q^{25} +(-0.382150 - 1.37638i) q^{26} +(0.856857 - 0.515554i) q^{27} +(1.11063 + 1.63806i) q^{28} +(-1.33370 - 0.145049i) q^{29} +(-2.82336 - 0.307059i) q^{30} +(0.111688 + 0.164727i) q^{31} +(0.856857 - 0.515554i) q^{32} +(0.251073 + 0.904283i) q^{33} +(0.929173 - 3.34658i) q^{34} +(4.81606 + 2.89772i) q^{35} +(0.0541389 + 0.998533i) q^{36} +(-0.998385 - 0.336395i) q^{37} +(-1.19192 + 2.24820i) q^{38} +(-0.924756 + 1.08871i) q^{39} +(1.59378 - 2.35064i) q^{40} +(-0.301750 + 5.56545i) q^{41} +(0.732533 - 1.83852i) q^{42} +(-9.59255 + 4.43798i) q^{43} +(-0.916550 - 0.201748i) q^{44} +(1.33028 + 2.50918i) q^{45} +(-0.00677585 - 0.0413308i) q^{46} +(9.31199 + 7.07879i) q^{47} +(-0.907575 - 0.419889i) q^{48} +(2.23842 - 2.12034i) q^{49} +(0.495967 - 3.02527i) q^{50} +(-3.29137 + 1.10899i) q^{51} +(-0.528722 - 1.32699i) q^{52} +(0.306793 + 0.290610i) q^{53} +(0.796093 - 0.605174i) q^{54} +(-2.60301 + 0.572966i) q^{55} +(1.28123 + 1.50838i) q^{56} +(2.52970 - 0.275122i) q^{57} -1.34157 q^{58} +(-1.03750 + 7.61076i) q^{59} -2.84001 q^{60} +(-13.6637 + 1.48601i) q^{61} +(0.128843 + 0.151686i) q^{62} +(-1.93281 + 0.425444i) q^{63} +(0.796093 - 0.605174i) q^{64} +(-2.94522 - 2.78986i) q^{65} +(0.347371 + 0.871836i) q^{66} +(-6.67462 + 2.24894i) q^{67} +(0.561897 - 3.42742i) q^{68} +(-0.0304066 + 0.0288026i) q^{69} +(5.10112 + 2.36003i) q^{70} +(-1.51990 - 1.15540i) q^{71} +(0.161782 + 0.986827i) q^{72} +(1.58810 + 2.99547i) q^{73} +(-1.02890 - 0.226479i) q^{74} +(-2.78231 + 1.28723i) q^{75} +(-0.941861 + 2.36389i) q^{76} +(0.100555 - 1.85462i) q^{77} +(-0.801625 + 1.18231i) q^{78} +(-5.50046 + 6.47565i) q^{79} +(1.33028 - 2.50918i) q^{80} +(-0.947653 - 0.319302i) q^{81} +(0.301750 + 5.56545i) q^{82} +(-7.30565 - 4.39566i) q^{83} +(0.529460 - 1.90694i) q^{84} +(-2.63886 - 9.50431i) q^{85} +(-9.05648 + 5.44911i) q^{86} +(0.752869 + 1.11040i) q^{87} +(-0.932990 - 0.101469i) q^{88} +(9.79726 + 1.06552i) q^{89} +(1.59378 + 2.35064i) q^{90} +(2.42234 - 1.45747i) q^{91} +(-0.0112048 - 0.0403560i) q^{92} +(0.0532435 - 0.191766i) q^{93} +(10.0228 + 6.03049i) q^{94} +(0.391248 + 7.21615i) q^{95} +(-0.947653 - 0.319302i) q^{96} +(-4.74983 + 8.95913i) q^{97} +(1.99605 - 2.34993i) q^{98} +(0.526669 - 0.776779i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{28}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.994138 0.108119i 0.702962 0.0764517i
\(3\) −0.647386 0.762162i −0.373769 0.440034i
\(4\) 0.976621 0.214970i 0.488310 0.107485i
\(5\) 2.26091 1.71870i 1.01111 0.768626i 0.0380733 0.999275i \(-0.487878\pi\)
0.973037 + 0.230649i \(0.0740848\pi\)
\(6\) −0.725995 0.687699i −0.296386 0.280752i
\(7\) 0.732533 + 1.83852i 0.276871 + 0.694895i 0.999991 + 0.00417231i \(0.00132809\pi\)
−0.723120 + 0.690723i \(0.757293\pi\)
\(8\) 0.947653 0.319302i 0.335046 0.112890i
\(9\) −0.161782 + 0.986827i −0.0539273 + 0.328942i
\(10\) 2.06183 1.95307i 0.652009 0.617616i
\(11\) −0.851752 0.394062i −0.256813 0.118814i 0.287259 0.957853i \(-0.407256\pi\)
−0.544072 + 0.839039i \(0.683118\pi\)
\(12\) −0.796093 0.605174i −0.229812 0.174699i
\(13\) −0.231097 1.40963i −0.0640947 0.390960i −0.999319 0.0369041i \(-0.988250\pi\)
0.935224 0.354056i \(-0.115198\pi\)
\(14\) 0.927018 + 1.74854i 0.247756 + 0.467317i
\(15\) −2.77361 0.610518i −0.716143 0.157635i
\(16\) 0.907575 0.419889i 0.226894 0.104972i
\(17\) 1.28555 3.22650i 0.311793 0.782541i −0.686662 0.726977i \(-0.740925\pi\)
0.998455 0.0555644i \(-0.0176958\pi\)
\(18\) −0.0541389 + 0.998533i −0.0127607 + 0.235357i
\(19\) −1.42801 + 2.10615i −0.327608 + 0.483185i −0.955449 0.295156i \(-0.904628\pi\)
0.627841 + 0.778341i \(0.283939\pi\)
\(20\) 1.83858 2.16455i 0.411120 0.484007i
\(21\) 0.927018 1.74854i 0.202292 0.381563i
\(22\) −0.889364 0.299662i −0.189613 0.0638881i
\(23\) −0.00226748 0.0418212i −0.000472802 0.00872031i 0.998287 0.0584985i \(-0.0186313\pi\)
−0.998760 + 0.0497782i \(0.984149\pi\)
\(24\) −0.856857 0.515554i −0.174905 0.105237i
\(25\) 0.820149 2.95391i 0.164030 0.590782i
\(26\) −0.382150 1.37638i −0.0749457 0.269930i
\(27\) 0.856857 0.515554i 0.164902 0.0992184i
\(28\) 1.11063 + 1.63806i 0.209890 + 0.309565i
\(29\) −1.33370 0.145049i −0.247662 0.0269349i −0.0165541 0.999863i \(-0.505270\pi\)
−0.231108 + 0.972928i \(0.574235\pi\)
\(30\) −2.82336 0.307059i −0.515473 0.0560610i
\(31\) 0.111688 + 0.164727i 0.0200597 + 0.0295858i 0.837587 0.546305i \(-0.183966\pi\)
−0.817527 + 0.575890i \(0.804656\pi\)
\(32\) 0.856857 0.515554i 0.151472 0.0911379i
\(33\) 0.251073 + 0.904283i 0.0437062 + 0.157415i
\(34\) 0.929173 3.34658i 0.159352 0.573933i
\(35\) 4.81606 + 2.89772i 0.814062 + 0.489805i
\(36\) 0.0541389 + 0.998533i 0.00902315 + 0.166422i
\(37\) −0.998385 0.336395i −0.164134 0.0553030i 0.236035 0.971745i \(-0.424152\pi\)
−0.400169 + 0.916441i \(0.631048\pi\)
\(38\) −1.19192 + 2.24820i −0.193355 + 0.364707i
\(39\) −0.924756 + 1.08871i −0.148079 + 0.174333i
\(40\) 1.59378 2.35064i 0.251998 0.371670i
\(41\) −0.301750 + 5.56545i −0.0471254 + 0.869177i 0.875438 + 0.483331i \(0.160573\pi\)
−0.922563 + 0.385846i \(0.873910\pi\)
\(42\) 0.732533 1.83852i 0.113032 0.283690i
\(43\) −9.59255 + 4.43798i −1.46285 + 0.676786i −0.980015 0.198925i \(-0.936255\pi\)
−0.482835 + 0.875711i \(0.660393\pi\)
\(44\) −0.916550 0.201748i −0.138175 0.0304146i
\(45\) 1.33028 + 2.50918i 0.198307 + 0.374047i
\(46\) −0.00677585 0.0413308i −0.000999044 0.00609390i
\(47\) 9.31199 + 7.07879i 1.35829 + 1.03255i 0.994895 + 0.100914i \(0.0321766\pi\)
0.363398 + 0.931634i \(0.381616\pi\)
\(48\) −0.907575 0.419889i −0.130997 0.0606058i
\(49\) 2.23842 2.12034i 0.319774 0.302906i
\(50\) 0.495967 3.02527i 0.0701404 0.427837i
\(51\) −3.29137 + 1.10899i −0.460883 + 0.155290i
\(52\) −0.528722 1.32699i −0.0733206 0.184021i
\(53\) 0.306793 + 0.290610i 0.0421413 + 0.0399183i 0.708480 0.705731i \(-0.249381\pi\)
−0.666339 + 0.745649i \(0.732140\pi\)
\(54\) 0.796093 0.605174i 0.108335 0.0823538i
\(55\) −2.60301 + 0.572966i −0.350990 + 0.0772587i
\(56\) 1.28123 + 1.50838i 0.171211 + 0.201566i
\(57\) 2.52970 0.275122i 0.335067 0.0364408i
\(58\) −1.34157 −0.176156
\(59\) −1.03750 + 7.61076i −0.135070 + 0.990836i
\(60\) −2.84001 −0.366644
\(61\) −13.6637 + 1.48601i −1.74945 + 0.190264i −0.926103 0.377272i \(-0.876862\pi\)
−0.823349 + 0.567536i \(0.807897\pi\)
\(62\) 0.128843 + 0.151686i 0.0163631 + 0.0192641i
\(63\) −1.93281 + 0.425444i −0.243511 + 0.0536009i
\(64\) 0.796093 0.605174i 0.0995116 0.0756468i
\(65\) −2.94522 2.78986i −0.365309 0.346039i
\(66\) 0.347371 + 0.871836i 0.0427585 + 0.107316i
\(67\) −6.67462 + 2.24894i −0.815434 + 0.274752i −0.695955 0.718085i \(-0.745019\pi\)
−0.119479 + 0.992837i \(0.538122\pi\)
\(68\) 0.561897 3.42742i 0.0681401 0.415636i
\(69\) −0.0304066 + 0.0288026i −0.00366052 + 0.00346743i
\(70\) 5.10112 + 2.36003i 0.609701 + 0.282078i
\(71\) −1.51990 1.15540i −0.180379 0.137120i 0.511089 0.859528i \(-0.329242\pi\)
−0.691467 + 0.722408i \(0.743035\pi\)
\(72\) 0.161782 + 0.986827i 0.0190662 + 0.116299i
\(73\) 1.58810 + 2.99547i 0.185873 + 0.350593i 0.958884 0.283800i \(-0.0915951\pi\)
−0.773011 + 0.634393i \(0.781250\pi\)
\(74\) −1.02890 0.226479i −0.119608 0.0263276i
\(75\) −2.78231 + 1.28723i −0.321274 + 0.148637i
\(76\) −0.941861 + 2.36389i −0.108039 + 0.271157i
\(77\) 0.100555 1.85462i 0.0114593 0.211354i
\(78\) −0.801625 + 1.18231i −0.0907662 + 0.133870i
\(79\) −5.50046 + 6.47565i −0.618850 + 0.728567i −0.978894 0.204368i \(-0.934486\pi\)
0.360044 + 0.932935i \(0.382762\pi\)
\(80\) 1.33028 2.50918i 0.148730 0.280535i
\(81\) −0.947653 0.319302i −0.105295 0.0354779i
\(82\) 0.301750 + 5.56545i 0.0333227 + 0.614601i
\(83\) −7.30565 4.39566i −0.801899 0.482487i 0.0546792 0.998504i \(-0.482586\pi\)
−0.856578 + 0.516017i \(0.827414\pi\)
\(84\) 0.529460 1.90694i 0.0577688 0.208064i
\(85\) −2.63886 9.50431i −0.286224 1.03089i
\(86\) −9.05648 + 5.44911i −0.976586 + 0.587592i
\(87\) 0.752869 + 1.11040i 0.0807161 + 0.119047i
\(88\) −0.932990 0.101469i −0.0994570 0.0108166i
\(89\) 9.79726 + 1.06552i 1.03851 + 0.112944i 0.611452 0.791281i \(-0.290586\pi\)
0.427055 + 0.904226i \(0.359551\pi\)
\(90\) 1.59378 + 2.35064i 0.167999 + 0.247780i
\(91\) 2.42234 1.45747i 0.253930 0.152785i
\(92\) −0.0112048 0.0403560i −0.00116818 0.00420740i
\(93\) 0.0532435 0.191766i 0.00552110 0.0198852i
\(94\) 10.0228 + 6.03049i 1.03377 + 0.621998i
\(95\) 0.391248 + 7.21615i 0.0401412 + 0.740361i
\(96\) −0.947653 0.319302i −0.0967194 0.0325886i
\(97\) −4.74983 + 8.95913i −0.482272 + 0.909662i 0.516308 + 0.856403i \(0.327306\pi\)
−0.998581 + 0.0532595i \(0.983039\pi\)
\(98\) 1.99605 2.34993i 0.201631 0.237379i
\(99\) 0.526669 0.776779i 0.0529322 0.0780692i
\(100\) 0.165971 3.06116i 0.0165971 0.306116i
\(101\) 6.61726 16.6081i 0.658442 1.65257i −0.0953424 0.995445i \(-0.530395\pi\)
0.753785 0.657121i \(-0.228226\pi\)
\(102\) −3.15217 + 1.45835i −0.312111 + 0.144398i
\(103\) 8.11077 + 1.78532i 0.799178 + 0.175912i 0.595742 0.803176i \(-0.296858\pi\)
0.203436 + 0.979088i \(0.434789\pi\)
\(104\) −0.669096 1.26205i −0.0656103 0.123754i
\(105\) −0.909313 5.54656i −0.0887398 0.541289i
\(106\) 0.336415 + 0.255736i 0.0326755 + 0.0248393i
\(107\) 12.1029 + 5.59939i 1.17003 + 0.541314i 0.906032 0.423209i \(-0.139097\pi\)
0.263999 + 0.964523i \(0.414959\pi\)
\(108\) 0.725995 0.687699i 0.0698589 0.0661739i
\(109\) 1.16821 7.12577i 0.111894 0.682525i −0.869994 0.493063i \(-0.835877\pi\)
0.981888 0.189462i \(-0.0606744\pi\)
\(110\) −2.52580 + 0.851042i −0.240826 + 0.0811437i
\(111\) 0.389953 + 0.978709i 0.0370127 + 0.0928950i
\(112\) 1.43680 + 1.36101i 0.135765 + 0.128604i
\(113\) 2.94847 2.24137i 0.277368 0.210850i −0.457236 0.889345i \(-0.651161\pi\)
0.734605 + 0.678495i \(0.237368\pi\)
\(114\) 2.48513 0.547018i 0.232754 0.0512329i
\(115\) −0.0770046 0.0906568i −0.00718072 0.00845379i
\(116\) −1.33370 + 0.145049i −0.123831 + 0.0134674i
\(117\) 1.42845 0.132060
\(118\) −0.208547 + 7.67831i −0.0191983 + 0.706846i
\(119\) 6.87369 0.630110
\(120\) −2.82336 + 0.307059i −0.257736 + 0.0280305i
\(121\) −6.55105 7.71250i −0.595550 0.701136i
\(122\) −13.4229 + 2.95460i −1.21525 + 0.267497i
\(123\) 4.43712 3.37301i 0.400082 0.304134i
\(124\) 0.144488 + 0.136866i 0.0129754 + 0.0122909i
\(125\) 2.03338 + 5.10339i 0.181871 + 0.456462i
\(126\) −1.87548 + 0.631923i −0.167081 + 0.0562962i
\(127\) 3.19724 19.5023i 0.283709 1.73055i −0.332618 0.943062i \(-0.607932\pi\)
0.616328 0.787490i \(-0.288620\pi\)
\(128\) 0.725995 0.687699i 0.0641695 0.0607846i
\(129\) 9.59255 + 4.43798i 0.844577 + 0.390743i
\(130\) −3.22959 2.45507i −0.283254 0.215324i
\(131\) −1.41898 8.65540i −0.123977 0.756226i −0.973502 0.228678i \(-0.926560\pi\)
0.849525 0.527548i \(-0.176889\pi\)
\(132\) 0.439597 + 0.829168i 0.0382620 + 0.0721698i
\(133\) −4.91827 1.08259i −0.426468 0.0938727i
\(134\) −6.39234 + 2.95741i −0.552214 + 0.255481i
\(135\) 1.05120 2.63830i 0.0904725 0.227069i
\(136\) 0.188034 3.46808i 0.0161238 0.297386i
\(137\) −2.30874 + 3.40513i −0.197249 + 0.290920i −0.913431 0.406993i \(-0.866577\pi\)
0.716183 + 0.697913i \(0.245888\pi\)
\(138\) −0.0271142 + 0.0319213i −0.00230811 + 0.00271732i
\(139\) 2.16241 4.07875i 0.183414 0.345955i −0.774707 0.632321i \(-0.782102\pi\)
0.958120 + 0.286366i \(0.0924473\pi\)
\(140\) 5.32638 + 1.79467i 0.450162 + 0.151677i
\(141\) −0.633269 11.6800i −0.0533309 0.983630i
\(142\) −1.63591 0.984294i −0.137282 0.0826001i
\(143\) −0.358644 + 1.29172i −0.0299913 + 0.108019i
\(144\) 0.267528 + 0.963550i 0.0222940 + 0.0802958i
\(145\) −3.26468 + 1.96429i −0.271117 + 0.163125i
\(146\) 1.90265 + 2.80620i 0.157465 + 0.232243i
\(147\) −3.06517 0.333357i −0.252811 0.0274948i
\(148\) −1.04736 0.113907i −0.0860924 0.00936311i
\(149\) −2.71611 4.00596i −0.222512 0.328181i 0.700004 0.714139i \(-0.253181\pi\)
−0.922517 + 0.385958i \(0.873871\pi\)
\(150\) −2.62683 + 1.58051i −0.214479 + 0.129048i
\(151\) 3.02266 + 10.8866i 0.245980 + 0.885941i 0.978680 + 0.205390i \(0.0658461\pi\)
−0.732700 + 0.680552i \(0.761740\pi\)
\(152\) −0.680758 + 2.45187i −0.0552168 + 0.198873i
\(153\) 2.97602 + 1.79061i 0.240597 + 0.144762i
\(154\) −0.100555 1.85462i −0.00810294 0.149450i
\(155\) 0.535632 + 0.180475i 0.0430230 + 0.0144961i
\(156\) −0.669096 + 1.26205i −0.0535706 + 0.101045i
\(157\) −5.55379 + 6.53843i −0.443241 + 0.521823i −0.937732 0.347359i \(-0.887078\pi\)
0.494491 + 0.869183i \(0.335354\pi\)
\(158\) −4.76808 + 7.03239i −0.379328 + 0.559467i
\(159\) 0.0228782 0.421963i 0.00181436 0.0334638i
\(160\) 1.05120 2.63830i 0.0831043 0.208576i
\(161\) 0.0752280 0.0348042i 0.00592880 0.00274295i
\(162\) −0.976621 0.214970i −0.0767306 0.0168897i
\(163\) 2.07646 + 3.91661i 0.162641 + 0.306773i 0.951416 0.307909i \(-0.0996292\pi\)
−0.788775 + 0.614682i \(0.789284\pi\)
\(164\) 0.901711 + 5.50020i 0.0704118 + 0.429493i
\(165\) 2.12185 + 1.61299i 0.165185 + 0.125571i
\(166\) −7.73808 3.58002i −0.600591 0.277863i
\(167\) 3.77531 3.57616i 0.292142 0.276732i −0.527565 0.849515i \(-0.676895\pi\)
0.819707 + 0.572783i \(0.194136\pi\)
\(168\) 0.320179 1.95301i 0.0247024 0.150678i
\(169\) 10.3858 3.49940i 0.798911 0.269185i
\(170\) −3.65099 9.16329i −0.280018 0.702792i
\(171\) −1.84738 1.74993i −0.141273 0.133821i
\(172\) −8.41424 + 6.39634i −0.641580 + 0.487716i
\(173\) −1.13162 + 0.249088i −0.0860354 + 0.0189378i −0.257780 0.966204i \(-0.582991\pi\)
0.171744 + 0.985142i \(0.445060\pi\)
\(174\) 0.868511 + 1.02249i 0.0658417 + 0.0775148i
\(175\) 6.03160 0.655976i 0.455946 0.0495872i
\(176\) −0.938491 −0.0707414
\(177\) 6.47229 4.13636i 0.486487 0.310908i
\(178\) 9.85503 0.738666
\(179\) −15.7771 + 1.71586i −1.17923 + 0.128249i −0.676667 0.736289i \(-0.736577\pi\)
−0.502567 + 0.864538i \(0.667611\pi\)
\(180\) 1.83858 + 2.16455i 0.137040 + 0.161336i
\(181\) −2.22813 + 0.490449i −0.165616 + 0.0364548i −0.297004 0.954876i \(-0.595988\pi\)
0.131388 + 0.991331i \(0.458057\pi\)
\(182\) 2.25056 1.71083i 0.166823 0.126815i
\(183\) 9.97824 + 9.45189i 0.737613 + 0.698704i
\(184\) −0.0155023 0.0389079i −0.00114285 0.00286833i
\(185\) −2.83542 + 0.955365i −0.208464 + 0.0702399i
\(186\) 0.0321979 0.196398i 0.00236086 0.0144006i
\(187\) −2.36641 + 2.24159i −0.173049 + 0.163921i
\(188\) 10.6160 + 4.91149i 0.774252 + 0.358207i
\(189\) 1.57553 + 1.19769i 0.114603 + 0.0871190i
\(190\) 1.16916 + 7.13154i 0.0848196 + 0.517377i
\(191\) −6.60424 12.4569i −0.477866 0.901351i −0.998857 0.0477894i \(-0.984782\pi\)
0.520991 0.853562i \(-0.325562\pi\)
\(192\) −0.976621 0.214970i −0.0704815 0.0155142i
\(193\) 2.05065 0.948733i 0.147609 0.0682913i −0.344694 0.938715i \(-0.612017\pi\)
0.492303 + 0.870424i \(0.336155\pi\)
\(194\) −3.75334 + 9.42016i −0.269474 + 0.676328i
\(195\) −0.219631 + 4.05085i −0.0157281 + 0.290087i
\(196\) 1.73028 2.55197i 0.123591 0.182283i
\(197\) 11.3860 13.4046i 0.811219 0.955041i −0.188415 0.982090i \(-0.560335\pi\)
0.999634 + 0.0270482i \(0.00861075\pi\)
\(198\) 0.439597 0.829168i 0.0312408 0.0589264i
\(199\) −6.48964 2.18661i −0.460038 0.155005i 0.0797337 0.996816i \(-0.474593\pi\)
−0.539772 + 0.841811i \(0.681490\pi\)
\(200\) −0.165971 3.06116i −0.0117359 0.216456i
\(201\) 6.03511 + 3.63121i 0.425684 + 0.256126i
\(202\) 4.78282 17.2262i 0.336518 1.21203i
\(203\) −0.710305 2.55829i −0.0498537 0.179557i
\(204\) −2.97602 + 1.79061i −0.208363 + 0.125368i
\(205\) 8.88310 + 13.1016i 0.620423 + 0.915055i
\(206\) 8.25625 + 0.897921i 0.575240 + 0.0625611i
\(207\) 0.0416371 + 0.00452830i 0.00289398 + 0.000314739i
\(208\) −0.801625 1.18231i −0.0555827 0.0819784i
\(209\) 2.04626 1.23120i 0.141543 0.0851636i
\(210\) −1.50367 5.41573i −0.103763 0.373721i
\(211\) 5.78092 20.8210i 0.397975 1.43338i −0.445052 0.895505i \(-0.646815\pi\)
0.843027 0.537872i \(-0.180771\pi\)
\(212\) 0.362093 + 0.217864i 0.0248686 + 0.0149630i
\(213\) 0.103362 + 1.90640i 0.00708223 + 0.130624i
\(214\) 12.6373 + 4.25802i 0.863871 + 0.291072i
\(215\) −14.0603 + 26.5206i −0.958907 + 1.80869i
\(216\) 0.647386 0.762162i 0.0440491 0.0518586i
\(217\) −0.221039 + 0.326007i −0.0150051 + 0.0221308i
\(218\) 0.390931 7.21030i 0.0264772 0.488343i
\(219\) 1.25492 3.14961i 0.0847996 0.212831i
\(220\) −2.41898 + 1.11914i −0.163088 + 0.0754524i
\(221\) −4.84525 1.06652i −0.325927 0.0717419i
\(222\) 0.493484 + 0.930810i 0.0331205 + 0.0624719i
\(223\) −0.538796 3.28651i −0.0360804 0.220081i 0.962632 0.270813i \(-0.0872927\pi\)
−0.998712 + 0.0507326i \(0.983844\pi\)
\(224\) 1.57553 + 1.19769i 0.105270 + 0.0800239i
\(225\) 2.78231 + 1.28723i 0.185487 + 0.0858156i
\(226\) 2.68885 2.54701i 0.178860 0.169425i
\(227\) 1.91339 11.6712i 0.126996 0.774643i −0.844141 0.536121i \(-0.819889\pi\)
0.971137 0.238522i \(-0.0766628\pi\)
\(228\) 2.41142 0.812501i 0.159700 0.0538092i
\(229\) −1.22227 3.06767i −0.0807699 0.202717i 0.883046 0.469287i \(-0.155489\pi\)
−0.963816 + 0.266570i \(0.914110\pi\)
\(230\) −0.0863549 0.0817997i −0.00569408 0.00539371i
\(231\) −1.47862 + 1.12402i −0.0972862 + 0.0739551i
\(232\) −1.31020 + 0.288397i −0.0860189 + 0.0189342i
\(233\) −7.28964 8.58203i −0.477560 0.562228i 0.469645 0.882855i \(-0.344382\pi\)
−0.947205 + 0.320628i \(0.896106\pi\)
\(234\) 1.42007 0.154442i 0.0928330 0.0100962i
\(235\) 33.2199 2.16703
\(236\) 0.622848 + 7.65585i 0.0405439 + 0.498353i
\(237\) 8.49642 0.551902
\(238\) 6.83340 0.743177i 0.442943 0.0481730i
\(239\) −6.28704 7.40168i −0.406675 0.478775i 0.520254 0.854012i \(-0.325837\pi\)
−0.926929 + 0.375237i \(0.877561\pi\)
\(240\) −2.77361 + 0.610518i −0.179036 + 0.0394088i
\(241\) 19.0250 14.4624i 1.22551 0.931608i 0.226410 0.974032i \(-0.427301\pi\)
0.999100 + 0.0424239i \(0.0135080\pi\)
\(242\) −7.34652 6.95899i −0.472252 0.447341i
\(243\) 0.370138 + 0.928977i 0.0237444 + 0.0595939i
\(244\) −13.0248 + 4.38855i −0.833824 + 0.280948i
\(245\) 1.41663 8.64109i 0.0905054 0.552059i
\(246\) 4.04642 3.83298i 0.257991 0.244382i
\(247\) 3.29890 + 1.52623i 0.209904 + 0.0971120i
\(248\) 0.158439 + 0.120442i 0.0100609 + 0.00764807i
\(249\) 1.37937 + 8.41378i 0.0874140 + 0.533202i
\(250\) 2.57323 + 4.85363i 0.162746 + 0.306971i
\(251\) −30.1241 6.63082i −1.90142 0.418533i −0.901518 0.432742i \(-0.857546\pi\)
−0.999899 + 0.0142086i \(0.995477\pi\)
\(252\) −1.79616 + 0.830994i −0.113148 + 0.0523477i
\(253\) −0.0145488 + 0.0365148i −0.000914676 + 0.00229566i
\(254\) 1.06993 19.7337i 0.0671333 1.23820i
\(255\) −5.53547 + 8.16420i −0.346644 + 0.511262i
\(256\) 0.647386 0.762162i 0.0404616 0.0476351i
\(257\) 1.37945 2.60191i 0.0860474 0.162303i −0.836754 0.547580i \(-0.815549\pi\)
0.922801 + 0.385277i \(0.125894\pi\)
\(258\) 10.0161 + 3.37483i 0.623578 + 0.210108i
\(259\) −0.112881 2.08197i −0.00701410 0.129367i
\(260\) −3.47610 2.09150i −0.215578 0.129709i
\(261\) 0.358907 1.29267i 0.0222158 0.0800140i
\(262\) −2.34648 8.45124i −0.144966 0.522120i
\(263\) −9.74362 + 5.86254i −0.600817 + 0.361500i −0.783239 0.621721i \(-0.786434\pi\)
0.182422 + 0.983220i \(0.441606\pi\)
\(264\) 0.526669 + 0.776779i 0.0324142 + 0.0478074i
\(265\) 1.19310 + 0.129758i 0.0732917 + 0.00797096i
\(266\) −5.00649 0.544488i −0.306967 0.0333847i
\(267\) −5.53052 8.15690i −0.338462 0.499194i
\(268\) −6.03511 + 3.63121i −0.368653 + 0.221811i
\(269\) 6.05399 + 21.8045i 0.369118 + 1.32944i 0.882107 + 0.471048i \(0.156124\pi\)
−0.512989 + 0.858395i \(0.671462\pi\)
\(270\) 0.759783 2.73649i 0.0462389 0.166538i
\(271\) −17.1052 10.2919i −1.03907 0.625186i −0.109557 0.993981i \(-0.534943\pi\)
−0.929511 + 0.368794i \(0.879771\pi\)
\(272\) −0.188034 3.46808i −0.0114012 0.210283i
\(273\) −2.67902 0.902668i −0.162142 0.0546319i
\(274\) −1.92705 + 3.63479i −0.116417 + 0.219586i
\(275\) −1.86259 + 2.19281i −0.112318 + 0.132231i
\(276\) −0.0235040 + 0.0346658i −0.00141477 + 0.00208663i
\(277\) −1.26536 + 23.3383i −0.0760283 + 1.40226i 0.672961 + 0.739678i \(0.265022\pi\)
−0.748989 + 0.662582i \(0.769461\pi\)
\(278\) 1.70875 4.28864i 0.102484 0.257215i
\(279\) −0.180626 + 0.0835664i −0.0108138 + 0.00500299i
\(280\) 5.48920 + 1.20826i 0.328042 + 0.0722076i
\(281\) −12.7201 23.9926i −0.758817 1.43128i −0.897532 0.440949i \(-0.854642\pi\)
0.138715 0.990332i \(-0.455703\pi\)
\(282\) −1.89238 11.5430i −0.112690 0.687377i
\(283\) 10.2947 + 7.82584i 0.611957 + 0.465198i 0.864668 0.502344i \(-0.167529\pi\)
−0.252710 + 0.967542i \(0.581322\pi\)
\(284\) −1.73274 0.801651i −0.102819 0.0475692i
\(285\) 5.24658 4.96983i 0.310781 0.294387i
\(286\) −0.216882 + 1.32292i −0.0128245 + 0.0782261i
\(287\) −10.4532 + 3.52210i −0.617034 + 0.207903i
\(288\) 0.370138 + 0.928977i 0.0218106 + 0.0547405i
\(289\) 3.58428 + 3.39521i 0.210840 + 0.199718i
\(290\) −3.03316 + 2.30575i −0.178113 + 0.135398i
\(291\) 9.90329 2.17988i 0.580541 0.127787i
\(292\) 2.19490 + 2.58404i 0.128447 + 0.151220i
\(293\) 33.6736 3.66223i 1.96723 0.213950i 0.967928 0.251226i \(-0.0808338\pi\)
0.999305 + 0.0372768i \(0.0118683\pi\)
\(294\) −3.08324 −0.179818
\(295\) 10.7349 + 18.9904i 0.625011 + 1.10566i
\(296\) −1.05353 −0.0612355
\(297\) −0.932990 + 0.101469i −0.0541376 + 0.00588781i
\(298\) −3.13331 3.68882i −0.181508 0.213687i
\(299\) −0.0584283 + 0.0128610i −0.00337899 + 0.000743773i
\(300\) −2.44054 + 1.85525i −0.140905 + 0.107113i
\(301\) −15.1862 14.3851i −0.875316 0.829144i
\(302\) 4.18199 + 10.4960i 0.240647 + 0.603977i
\(303\) −16.9420 + 5.70842i −0.973291 + 0.327940i
\(304\) −0.411674 + 2.51110i −0.0236111 + 0.144021i
\(305\) −28.3383 + 26.8435i −1.62265 + 1.53705i
\(306\) 3.15217 + 1.45835i 0.180197 + 0.0833682i
\(307\) 20.6267 + 15.6800i 1.17723 + 0.894908i 0.996072 0.0885463i \(-0.0282221\pi\)
0.181159 + 0.983454i \(0.442015\pi\)
\(308\) −0.300486 1.83288i −0.0171218 0.104438i
\(309\) −3.89010 7.33751i −0.221300 0.417416i
\(310\) 0.552005 + 0.121505i 0.0313517 + 0.00690104i
\(311\) −18.9561 + 8.77002i −1.07490 + 0.497302i −0.875799 0.482676i \(-0.839665\pi\)
−0.199103 + 0.979979i \(0.563803\pi\)
\(312\) −0.528722 + 1.32699i −0.0299330 + 0.0751262i
\(313\) −1.05900 + 19.5322i −0.0598585 + 1.10402i 0.802147 + 0.597126i \(0.203691\pi\)
−0.862006 + 0.506898i \(0.830792\pi\)
\(314\) −4.81431 + 7.10057i −0.271687 + 0.400708i
\(315\) −3.63870 + 4.28381i −0.205018 + 0.241365i
\(316\) −3.97979 + 7.50669i −0.223881 + 0.422284i
\(317\) 5.15215 + 1.73596i 0.289374 + 0.0975013i 0.460245 0.887792i \(-0.347762\pi\)
−0.170871 + 0.985293i \(0.554658\pi\)
\(318\) −0.0228782 0.421963i −0.00128294 0.0236625i
\(319\) 1.07882 + 0.649107i 0.0604025 + 0.0363430i
\(320\) 0.759783 2.73649i 0.0424732 0.152974i
\(321\) −3.56760 12.8493i −0.199124 0.717180i
\(322\) 0.0710240 0.0427337i 0.00395801 0.00238146i
\(323\) 4.95972 + 7.31504i 0.275966 + 0.407020i
\(324\) −0.994138 0.108119i −0.0552299 0.00600661i
\(325\) −4.35345 0.473466i −0.241486 0.0262632i
\(326\) 2.48775 + 3.66915i 0.137783 + 0.203215i
\(327\) −6.18727 + 3.72276i −0.342157 + 0.205869i
\(328\) 1.49110 + 5.37046i 0.0823323 + 0.296534i
\(329\) −6.19315 + 22.3057i −0.341440 + 1.22975i
\(330\) 2.28380 + 1.37412i 0.125719 + 0.0756427i
\(331\) −0.708648 13.0702i −0.0389508 0.718405i −0.951163 0.308688i \(-0.900110\pi\)
0.912213 0.409717i \(-0.134373\pi\)
\(332\) −8.07978 2.72240i −0.443436 0.149411i
\(333\) 0.493484 0.930810i 0.0270428 0.0510081i
\(334\) 3.36653 3.96338i 0.184208 0.216867i
\(335\) −11.2255 + 16.5563i −0.613313 + 0.904568i
\(336\) 0.107145 1.97618i 0.00584525 0.107809i
\(337\) 4.46132 11.1971i 0.243023 0.609943i −0.755979 0.654596i \(-0.772839\pi\)
0.999003 + 0.0446530i \(0.0142182\pi\)
\(338\) 9.94661 4.60179i 0.541024 0.250305i
\(339\) −3.61708 0.796180i −0.196453 0.0432426i
\(340\) −4.62031 8.71483i −0.250572 0.472628i
\(341\) −0.0302174 0.184318i −0.00163637 0.00998139i
\(342\) −2.02575 1.53994i −0.109540 0.0832703i
\(343\) 18.1112 + 8.37911i 0.977911 + 0.452430i
\(344\) −7.67335 + 7.26858i −0.413719 + 0.391896i
\(345\) −0.0192435 + 0.117380i −0.00103603 + 0.00631953i
\(346\) −1.09805 + 0.369978i −0.0590318 + 0.0198901i
\(347\) −10.7496 26.9794i −0.577067 1.44833i −0.870413 0.492322i \(-0.836148\pi\)
0.293347 0.956006i \(-0.405231\pi\)
\(348\) 0.973971 + 0.922594i 0.0522103 + 0.0494562i
\(349\) −25.8606 + 19.6587i −1.38429 + 1.05231i −0.393146 + 0.919476i \(0.628613\pi\)
−0.991139 + 0.132830i \(0.957593\pi\)
\(350\) 5.92532 1.30426i 0.316722 0.0697157i
\(351\) −0.924756 1.08871i −0.0493598 0.0581109i
\(352\) −0.932990 + 0.101469i −0.0497285 + 0.00540830i
\(353\) 9.82661 0.523017 0.261509 0.965201i \(-0.415780\pi\)
0.261509 + 0.965201i \(0.415780\pi\)
\(354\) 5.98713 4.81189i 0.318212 0.255749i
\(355\) −5.42214 −0.287777
\(356\) 9.79726 1.06552i 0.519254 0.0564722i
\(357\) −4.44993 5.23887i −0.235515 0.277270i
\(358\) −15.4991 + 3.41161i −0.819152 + 0.180309i
\(359\) −7.41887 + 5.63968i −0.391553 + 0.297651i −0.782366 0.622820i \(-0.785987\pi\)
0.390813 + 0.920470i \(0.372194\pi\)
\(360\) 2.06183 + 1.95307i 0.108668 + 0.102936i
\(361\) 4.63595 + 11.6353i 0.243997 + 0.612387i
\(362\) −2.16205 + 0.728478i −0.113635 + 0.0382879i
\(363\) −1.63711 + 9.98593i −0.0859260 + 0.524125i
\(364\) 2.05239 1.94413i 0.107575 0.101900i
\(365\) 8.73886 + 4.04303i 0.457413 + 0.211622i
\(366\) 10.9417 + 8.31765i 0.571931 + 0.434770i
\(367\) 4.02355 + 24.5426i 0.210028 + 1.28111i 0.855690 + 0.517488i \(0.173133\pi\)
−0.645663 + 0.763623i \(0.723419\pi\)
\(368\) −0.0196182 0.0370038i −0.00102267 0.00192895i
\(369\) −5.44331 1.19816i −0.283367 0.0623739i
\(370\) −2.71551 + 1.25633i −0.141173 + 0.0653134i
\(371\) −0.309556 + 0.776926i −0.0160713 + 0.0403360i
\(372\) 0.0107747 0.198728i 0.000558644 0.0103036i
\(373\) 14.9776 22.0903i 0.775509 1.14379i −0.210581 0.977576i \(-0.567536\pi\)
0.986090 0.166213i \(-0.0531541\pi\)
\(374\) −2.11018 + 2.48430i −0.109115 + 0.128460i
\(375\) 2.57323 4.85363i 0.132881 0.250640i
\(376\) 11.0848 + 3.73491i 0.571655 + 0.192613i
\(377\) 0.103749 + 1.91354i 0.00534336 + 0.0985525i
\(378\) 1.69579 + 1.02032i 0.0872220 + 0.0524797i
\(379\) 3.96325 14.2743i 0.203578 0.733223i −0.789291 0.614019i \(-0.789552\pi\)
0.992870 0.119204i \(-0.0380343\pi\)
\(380\) 1.93336 + 6.96333i 0.0991792 + 0.357211i
\(381\) −16.9338 + 10.1887i −0.867544 + 0.521984i
\(382\) −7.91236 11.6699i −0.404832 0.597082i
\(383\) 13.0513 + 1.41941i 0.666888 + 0.0725284i 0.435300 0.900286i \(-0.356642\pi\)
0.231588 + 0.972814i \(0.425608\pi\)
\(384\) −0.994138 0.108119i −0.0507319 0.00551743i
\(385\) −2.96020 4.36597i −0.150866 0.222510i
\(386\) 1.93606 1.16489i 0.0985427 0.0592911i
\(387\) −2.82762 10.1842i −0.143736 0.517690i
\(388\) −2.71283 + 9.77075i −0.137723 + 0.496035i
\(389\) 6.47840 + 3.89792i 0.328468 + 0.197633i 0.670229 0.742154i \(-0.266196\pi\)
−0.341761 + 0.939787i \(0.611023\pi\)
\(390\) 0.219631 + 4.05085i 0.0111214 + 0.205123i
\(391\) −0.137851 0.0464474i −0.00697142 0.00234894i
\(392\) 1.44422 2.72408i 0.0729440 0.137587i
\(393\) −5.67819 + 6.68488i −0.286427 + 0.337208i
\(394\) 9.86997 14.5571i 0.497242 0.733377i
\(395\) −1.30637 + 24.0945i −0.0657304 + 1.21233i
\(396\) 0.347371 0.871836i 0.0174561 0.0438114i
\(397\) −33.3810 + 15.4437i −1.67535 + 0.775097i −0.676078 + 0.736830i \(0.736322\pi\)
−0.999268 + 0.0382676i \(0.987816\pi\)
\(398\) −6.68801 1.47214i −0.335240 0.0737918i
\(399\) 2.35891 + 4.44937i 0.118093 + 0.222747i
\(400\) −0.495967 3.02527i −0.0247984 0.151263i
\(401\) −14.1663 10.7689i −0.707432 0.537776i 0.188442 0.982084i \(-0.439656\pi\)
−0.895874 + 0.444309i \(0.853449\pi\)
\(402\) 6.39234 + 2.95741i 0.318821 + 0.147502i
\(403\) 0.206393 0.195506i 0.0102812 0.00973883i
\(404\) 2.89231 17.6423i 0.143898 0.877738i
\(405\) −2.69134 + 0.906819i −0.133734 + 0.0450602i
\(406\) −0.982741 2.46649i −0.0487726 0.122410i
\(407\) 0.717816 + 0.679951i 0.0355808 + 0.0337039i
\(408\) −2.76497 + 2.10188i −0.136886 + 0.104058i
\(409\) −0.279054 + 0.0614244i −0.0137983 + 0.00303724i −0.221864 0.975078i \(-0.571214\pi\)
0.208066 + 0.978115i \(0.433283\pi\)
\(410\) 10.2476 + 12.0644i 0.506091 + 0.595816i
\(411\) 4.08991 0.444805i 0.201740 0.0219406i
\(412\) 8.30493 0.409155
\(413\) −14.7525 + 3.66767i −0.725924 + 0.180474i
\(414\) 0.0418826 0.00205842
\(415\) −24.0722 + 2.61801i −1.18166 + 0.128513i
\(416\) −0.924756 1.08871i −0.0453399 0.0533783i
\(417\) −4.50858 + 0.992414i −0.220786 + 0.0485987i
\(418\) 1.90115 1.44522i 0.0929884 0.0706880i
\(419\) −8.48520 8.03761i −0.414529 0.392663i 0.451814 0.892112i \(-0.350777\pi\)
−0.866343 + 0.499449i \(0.833536\pi\)
\(420\) −2.08040 5.22141i −0.101513 0.254779i
\(421\) −22.4977 + 7.58036i −1.09647 + 0.369444i −0.808680 0.588249i \(-0.799817\pi\)
−0.287791 + 0.957693i \(0.592921\pi\)
\(422\) 3.49589 21.3240i 0.170177 1.03803i
\(423\) −8.49205 + 8.04410i −0.412898 + 0.391117i
\(424\) 0.383525 + 0.177438i 0.0186256 + 0.00861714i
\(425\) −8.47644 6.44362i −0.411168 0.312562i
\(426\) 0.308874 + 1.88405i 0.0149650 + 0.0912823i
\(427\) −12.7411 24.0323i −0.616587 1.16301i
\(428\) 13.0236 + 2.86672i 0.629521 + 0.138568i
\(429\) 1.21668 0.562896i 0.0587419 0.0271769i
\(430\) −11.1105 + 27.8853i −0.535797 + 1.34475i
\(431\) −0.334319 + 6.16615i −0.0161036 + 0.297013i 0.979377 + 0.202043i \(0.0647582\pi\)
−0.995480 + 0.0949696i \(0.969725\pi\)
\(432\) 0.561187 0.827689i 0.0270001 0.0398222i
\(433\) −19.9468 + 23.4832i −0.958583 + 1.12853i 0.0330514 + 0.999454i \(0.489477\pi\)
−0.991634 + 0.129078i \(0.958798\pi\)
\(434\) −0.184495 + 0.347995i −0.00885605 + 0.0167043i
\(435\) 3.61061 + 1.21656i 0.173116 + 0.0583295i
\(436\) −0.390931 7.21030i −0.0187222 0.345311i
\(437\) 0.0913198 + 0.0549453i 0.00436842 + 0.00262839i
\(438\) 0.907031 3.26683i 0.0433396 0.156095i
\(439\) −2.77587 9.99777i −0.132485 0.477167i 0.867303 0.497781i \(-0.165852\pi\)
−0.999788 + 0.0206138i \(0.993438\pi\)
\(440\) −2.28380 + 1.37412i −0.108876 + 0.0655085i
\(441\) 1.73028 + 2.55197i 0.0823941 + 0.121522i
\(442\) −4.93216 0.536405i −0.234599 0.0255142i
\(443\) 19.9208 + 2.16652i 0.946465 + 0.102934i 0.568316 0.822810i \(-0.307595\pi\)
0.378149 + 0.925745i \(0.376561\pi\)
\(444\) 0.591230 + 0.871999i 0.0280585 + 0.0413832i
\(445\) 23.9820 14.4295i 1.13686 0.684025i
\(446\) −0.890971 3.20899i −0.0421887 0.151950i
\(447\) −1.29482 + 4.66352i −0.0612429 + 0.220577i
\(448\) 1.69579 + 1.02032i 0.0801185 + 0.0482057i
\(449\) −0.135319 2.49581i −0.00638610 0.117785i −0.999988 0.00484765i \(-0.998457\pi\)
0.993602 0.112937i \(-0.0360258\pi\)
\(450\) 2.90517 + 0.978867i 0.136951 + 0.0461443i
\(451\) 2.45015 4.62147i 0.115373 0.217616i
\(452\) 2.39771 2.82280i 0.112779 0.132773i
\(453\) 6.34055 9.35161i 0.297905 0.439377i
\(454\) 0.640300 11.8096i 0.0300508 0.554254i
\(455\) 2.97174 7.45850i 0.139317 0.349660i
\(456\) 2.30943 1.06846i 0.108149 0.0500351i
\(457\) −12.3470 2.71778i −0.577568 0.127132i −0.0834269 0.996514i \(-0.526587\pi\)
−0.494142 + 0.869381i \(0.664518\pi\)
\(458\) −1.54678 2.91753i −0.0722762 0.136327i
\(459\) −0.561897 3.42742i −0.0262271 0.159978i
\(460\) −0.0946928 0.0719836i −0.00441508 0.00335625i
\(461\) 31.7743 + 14.7003i 1.47987 + 0.684663i 0.983075 0.183202i \(-0.0586464\pi\)
0.496799 + 0.867865i \(0.334508\pi\)
\(462\) −1.34843 + 1.27730i −0.0627345 + 0.0594253i
\(463\) 0.610329 3.72284i 0.0283644 0.173015i −0.968845 0.247667i \(-0.920336\pi\)
0.997210 + 0.0746516i \(0.0237845\pi\)
\(464\) −1.27134 + 0.428364i −0.0590204 + 0.0198863i
\(465\) −0.209209 0.525075i −0.00970184 0.0243498i
\(466\) −8.17479 7.74358i −0.378690 0.358714i
\(467\) 34.1637 25.9706i 1.58091 1.20177i 0.718547 0.695478i \(-0.244808\pi\)
0.862360 0.506296i \(-0.168986\pi\)
\(468\) 1.39505 0.307074i 0.0644862 0.0141945i
\(469\) −9.02410 10.6240i −0.416694 0.490570i
\(470\) 33.0252 3.59170i 1.52334 0.165673i
\(471\) 8.57879 0.395290
\(472\) 1.44694 + 7.54363i 0.0666008 + 0.347224i
\(473\) 9.91931 0.456090
\(474\) 8.44661 0.918624i 0.387966 0.0421938i
\(475\) 5.05021 + 5.94557i 0.231719 + 0.272801i
\(476\) 6.71299 1.47764i 0.307689 0.0677275i
\(477\) −0.336415 + 0.255736i −0.0154034 + 0.0117093i
\(478\) −7.05045 6.67854i −0.322480 0.305469i
\(479\) 8.63464 + 21.6713i 0.394527 + 0.990188i 0.983317 + 0.181902i \(0.0582253\pi\)
−0.588790 + 0.808286i \(0.700395\pi\)
\(480\) −2.69134 + 0.906819i −0.122842 + 0.0413904i
\(481\) −0.243468 + 1.48509i −0.0111012 + 0.0677144i
\(482\) 17.3498 16.4346i 0.790263 0.748577i
\(483\) −0.0752280 0.0348042i −0.00342299 0.00158364i
\(484\) −8.05585 6.12390i −0.366175 0.278359i
\(485\) 4.65912 + 28.4193i 0.211560 + 1.29046i
\(486\) 0.468408 + 0.883512i 0.0212474 + 0.0400769i
\(487\) 25.4302 + 5.59761i 1.15235 + 0.253652i 0.749749 0.661723i \(-0.230174\pi\)
0.402603 + 0.915375i \(0.368105\pi\)
\(488\) −12.4739 + 5.77105i −0.564668 + 0.261243i
\(489\) 1.64082 4.11816i 0.0742006 0.186230i
\(490\) 0.474064 8.74360i 0.0214160 0.394995i
\(491\) 23.7070 34.9652i 1.06988 1.57796i 0.284779 0.958593i \(-0.408080\pi\)
0.785103 0.619365i \(-0.212610\pi\)
\(492\) 3.60829 4.24800i 0.162674 0.191515i
\(493\) −2.18255 + 4.11672i −0.0982969 + 0.185408i
\(494\) 3.44458 + 1.16061i 0.154979 + 0.0522185i
\(495\) −0.144298 2.66141i −0.00648570 0.119622i
\(496\) 0.170532 + 0.102606i 0.00765711 + 0.00460713i
\(497\) 1.01084 3.64073i 0.0453425 0.163309i
\(498\) 2.28097 + 8.21532i 0.102213 + 0.368137i
\(499\) 12.1574 7.31489i 0.544242 0.327459i −0.216744 0.976229i \(-0.569544\pi\)
0.760985 + 0.648769i \(0.224716\pi\)
\(500\) 3.08292 + 4.54696i 0.137872 + 0.203346i
\(501\) −5.16970 0.562239i −0.230965 0.0251190i
\(502\) −30.6644 3.33496i −1.36862 0.148846i
\(503\) −7.66759 11.3088i −0.341881 0.504237i 0.617416 0.786637i \(-0.288180\pi\)
−0.959297 + 0.282400i \(0.908869\pi\)
\(504\) −1.69579 + 1.02032i −0.0755364 + 0.0454488i
\(505\) −13.5833 48.9225i −0.604447 2.17702i
\(506\) −0.0105156 + 0.0378737i −0.000467475 + 0.00168369i
\(507\) −9.39076 5.65023i −0.417058 0.250936i
\(508\) −1.06993 19.7337i −0.0474704 0.875541i
\(509\) 30.0226 + 10.1158i 1.33073 + 0.448375i 0.892727 0.450598i \(-0.148789\pi\)
0.438003 + 0.898974i \(0.355686\pi\)
\(510\) −4.62031 + 8.71483i −0.204591 + 0.385899i
\(511\) −4.34389 + 5.11402i −0.192162 + 0.226231i
\(512\) 0.561187 0.827689i 0.0248012 0.0365790i
\(513\) −0.137763 + 2.54089i −0.00608238 + 0.112183i
\(514\) 1.09004 2.73580i 0.0480797 0.120671i
\(515\) 21.4062 9.90354i 0.943268 0.436402i
\(516\) 10.3223 + 2.27211i 0.454414 + 0.100024i
\(517\) −5.14202 9.69887i −0.226146 0.426556i
\(518\) −0.337320 2.05756i −0.0148210 0.0904041i
\(519\) 0.922441 + 0.701221i 0.0404906 + 0.0307802i
\(520\) −3.68185 1.70341i −0.161460 0.0746993i
\(521\) 13.6586 12.9381i 0.598394 0.566829i −0.327386 0.944891i \(-0.606168\pi\)
0.925781 + 0.378061i \(0.123409\pi\)
\(522\) 0.217041 1.32389i 0.00949963 0.0579452i
\(523\) 12.3924 4.17547i 0.541880 0.182581i −0.0350329 0.999386i \(-0.511154\pi\)
0.576913 + 0.816805i \(0.304257\pi\)
\(524\) −3.24646 8.14800i −0.141822 0.355947i
\(525\) −4.40474 4.17239i −0.192239 0.182098i
\(526\) −9.05265 + 6.88164i −0.394714 + 0.300054i
\(527\) 0.675071 0.148594i 0.0294066 0.00647287i
\(528\) 0.607566 + 0.715282i 0.0264409 + 0.0311287i
\(529\) 22.8634 2.48655i 0.994062 0.108111i
\(530\) 1.20014 0.0521307
\(531\) −7.34265 2.25511i −0.318644 0.0978635i
\(532\) −5.03601 −0.218339
\(533\) 7.91494 0.860802i 0.342834 0.0372855i
\(534\) −6.38001 7.51113i −0.276090 0.325038i
\(535\) 36.9872 8.14151i 1.59910 0.351988i
\(536\) −5.60713 + 4.26243i −0.242191 + 0.184109i
\(537\) 11.5216 + 10.9139i 0.497195 + 0.470968i
\(538\) 8.37598 + 21.0221i 0.361114 + 0.906328i
\(539\) −2.74213 + 0.923930i −0.118112 + 0.0397965i
\(540\) 0.459462 2.80260i 0.0197721 0.120605i
\(541\) −32.2725 + 30.5702i −1.38750 + 1.31431i −0.491082 + 0.871113i \(0.663399\pi\)
−0.896422 + 0.443201i \(0.853843\pi\)
\(542\) −18.1177 8.38214i −0.778221 0.360044i
\(543\) 1.81626 + 1.38069i 0.0779434 + 0.0592510i
\(544\) −0.561897 3.42742i −0.0240911 0.146949i
\(545\) −9.60584 18.1185i −0.411469 0.776113i
\(546\) −2.76091 0.607723i −0.118156 0.0260081i
\(547\) 10.4226 4.82200i 0.445637 0.206174i −0.184219 0.982885i \(-0.558976\pi\)
0.629857 + 0.776711i \(0.283114\pi\)
\(548\) −1.52276 + 3.82184i −0.0650490 + 0.163261i
\(549\) 0.744097 13.7241i 0.0317573 0.585729i
\(550\) −1.61458 + 2.38133i −0.0688461 + 0.101540i
\(551\) 2.21003 2.60185i 0.0941505 0.110843i
\(552\) −0.0196182 + 0.0370038i −0.000835004 + 0.00157498i
\(553\) −15.9349 5.36908i −0.677620 0.228317i
\(554\) 1.26536 + 23.3383i 0.0537602 + 0.991548i
\(555\) 2.56376 + 1.54256i 0.108825 + 0.0654781i
\(556\) 1.23505 4.44824i 0.0523777 0.188648i
\(557\) 7.01836 + 25.2779i 0.297378 + 1.07106i 0.949712 + 0.313126i \(0.101376\pi\)
−0.652334 + 0.757931i \(0.726210\pi\)
\(558\) −0.170532 + 0.102606i −0.00721919 + 0.00434364i
\(559\) 8.47271 + 12.4963i 0.358358 + 0.528538i
\(560\) 5.58766 + 0.607694i 0.236122 + 0.0256798i
\(561\) 3.24044 + 0.352419i 0.136811 + 0.0148791i
\(562\) −15.2396 22.4767i −0.642843 0.948123i
\(563\) −1.31099 + 0.788796i −0.0552516 + 0.0332438i −0.542912 0.839790i \(-0.682678\pi\)
0.487660 + 0.873034i \(0.337851\pi\)
\(564\) −3.12931 11.2708i −0.131768 0.474584i
\(565\) 2.81399 10.1351i 0.118385 0.426385i
\(566\) 11.0805 + 6.66691i 0.465748 + 0.280231i
\(567\) −0.107145 1.97618i −0.00449968 0.0829916i
\(568\) −1.80926 0.609609i −0.0759147 0.0255786i
\(569\) 5.20337 9.81460i 0.218137 0.411450i −0.750159 0.661258i \(-0.770023\pi\)
0.968295 + 0.249808i \(0.0803677\pi\)
\(570\) 4.67850 5.50795i 0.195961 0.230703i
\(571\) 18.1364 26.7491i 0.758983 1.11942i −0.230259 0.973129i \(-0.573957\pi\)
0.989242 0.146287i \(-0.0467323\pi\)
\(572\) −0.0725777 + 1.33862i −0.00303463 + 0.0559704i
\(573\) −5.21870 + 13.0979i −0.218014 + 0.547175i
\(574\) −10.0111 + 4.63164i −0.417857 + 0.193321i
\(575\) −0.125396 0.0276016i −0.00522936 0.00115107i
\(576\) 0.468408 + 0.883512i 0.0195170 + 0.0368130i
\(577\) 2.67212 + 16.2992i 0.111242 + 0.678545i 0.982293 + 0.187352i \(0.0599906\pi\)
−0.871051 + 0.491193i \(0.836561\pi\)
\(578\) 3.93035 + 2.98778i 0.163481 + 0.124275i
\(579\) −2.05065 0.948733i −0.0852222 0.0394280i
\(580\) −2.76609 + 2.62018i −0.114855 + 0.108797i
\(581\) 2.72988 16.6515i 0.113255 0.690822i
\(582\) 9.60955 3.23783i 0.398329 0.134213i
\(583\) −0.146793 0.368423i −0.00607955 0.0152585i
\(584\) 2.46142 + 2.33158i 0.101854 + 0.0964816i
\(585\) 3.22959 2.45507i 0.133527 0.101505i
\(586\) 33.0803 7.28152i 1.36653 0.300797i
\(587\) −14.9160 17.5605i −0.615650 0.724799i 0.362666 0.931919i \(-0.381867\pi\)
−0.978315 + 0.207120i \(0.933591\pi\)
\(588\) −3.06517 + 0.333357i −0.126405 + 0.0137474i
\(589\) −0.506431 −0.0208671
\(590\) 12.7252 + 17.7184i 0.523889 + 0.729456i
\(591\) −17.5877 −0.723460
\(592\) −1.04736 + 0.113907i −0.0430462 + 0.00468155i
\(593\) 24.9111 + 29.3276i 1.02298 + 1.20434i 0.978695 + 0.205321i \(0.0658237\pi\)
0.0442807 + 0.999019i \(0.485900\pi\)
\(594\) −0.916550 + 0.201748i −0.0376065 + 0.00827781i
\(595\) 15.5408 11.8138i 0.637111 0.484319i
\(596\) −3.51377 3.32842i −0.143930 0.136337i
\(597\) 2.53475 + 6.36174i 0.103740 + 0.260369i
\(598\) −0.0566952 + 0.0191028i −0.00231844 + 0.000781174i
\(599\) −0.947925 + 5.78208i −0.0387312 + 0.236250i −0.999097 0.0424940i \(-0.986470\pi\)
0.960366 + 0.278744i \(0.0899179\pi\)
\(600\) −2.22565 + 2.10825i −0.0908618 + 0.0860688i
\(601\) −3.08151 1.42566i −0.125697 0.0581538i 0.356032 0.934474i \(-0.384129\pi\)
−0.481730 + 0.876320i \(0.659991\pi\)
\(602\) −16.6525 12.6589i −0.678703 0.515937i
\(603\) −1.13948 6.95053i −0.0464033 0.283047i
\(604\) 5.29229 + 9.98233i 0.215340 + 0.406175i
\(605\) −28.0668 6.17797i −1.14108 0.251170i
\(606\) −16.2255 + 7.50670i −0.659115 + 0.304939i
\(607\) 0.657263 1.64961i 0.0266775 0.0669554i −0.915035 0.403375i \(-0.867837\pi\)
0.941712 + 0.336420i \(0.109216\pi\)
\(608\) −0.137763 + 2.54089i −0.00558703 + 0.103047i
\(609\) −1.48999 + 2.19757i −0.0603774 + 0.0890500i
\(610\) −25.2699 + 29.7500i −1.02315 + 1.20454i
\(611\) 7.82649 14.7623i 0.316626 0.597220i
\(612\) 3.29137 + 1.10899i 0.133046 + 0.0448283i
\(613\) 1.47004 + 27.1134i 0.0593745 + 1.09510i 0.864708 + 0.502276i \(0.167504\pi\)
−0.805333 + 0.592823i \(0.798014\pi\)
\(614\) 22.2011 + 13.3580i 0.895965 + 0.539084i
\(615\) 4.23474 15.2522i 0.170761 0.615026i
\(616\) −0.496893 1.78965i −0.0200204 0.0721070i
\(617\) −22.7044 + 13.6608i −0.914046 + 0.549963i −0.893120 0.449818i \(-0.851489\pi\)
−0.0209258 + 0.999781i \(0.506661\pi\)
\(618\) −4.66062 6.87390i −0.187478 0.276509i
\(619\) 17.2296 + 1.87384i 0.692518 + 0.0753159i 0.447608 0.894230i \(-0.352276\pi\)
0.244910 + 0.969546i \(0.421242\pi\)
\(620\) 0.561906 + 0.0611109i 0.0225667 + 0.00245427i
\(621\) −0.0235040 0.0346658i −0.000943182 0.00139109i
\(622\) −17.8968 + 10.7681i −0.717595 + 0.431763i
\(623\) 5.21784 + 18.7930i 0.209048 + 0.752925i
\(624\) −0.382150 + 1.37638i −0.0152982 + 0.0550992i
\(625\) 26.5026 + 15.9461i 1.06010 + 0.637844i
\(626\) 1.05900 + 19.5322i 0.0423263 + 0.780663i
\(627\) −2.26309 0.762525i −0.0903793 0.0304523i
\(628\) −4.01838 + 7.57946i −0.160351 + 0.302454i
\(629\) −2.36886 + 2.78884i −0.0944526 + 0.111198i
\(630\) −3.15421 + 4.65211i −0.125667 + 0.185345i
\(631\) −0.370351 + 6.83072i −0.0147434 + 0.271927i 0.981862 + 0.189598i \(0.0607185\pi\)
−0.996605 + 0.0823286i \(0.973764\pi\)
\(632\) −3.14485 + 7.89297i −0.125095 + 0.313966i
\(633\) −19.6115 + 9.07323i −0.779486 + 0.360628i
\(634\) 5.30964 + 1.16874i 0.210873 + 0.0464166i
\(635\) −26.2900 49.5881i −1.04329 1.96784i
\(636\) −0.0683662 0.417016i −0.00271090 0.0165357i
\(637\) −3.50619 2.66534i −0.138920 0.105604i
\(638\) 1.14268 + 0.528660i 0.0452392 + 0.0209299i
\(639\) 1.38607 1.31295i 0.0548320 0.0519396i
\(640\) 0.459462 2.80260i 0.0181618 0.110782i
\(641\) −13.4683 + 4.53799i −0.531964 + 0.179240i −0.572449 0.819940i \(-0.694006\pi\)
0.0404843 + 0.999180i \(0.487110\pi\)
\(642\) −4.93594 12.3883i −0.194806 0.488927i
\(643\) −3.45825 3.27583i −0.136380 0.129186i 0.616469 0.787379i \(-0.288562\pi\)
−0.752849 + 0.658193i \(0.771321\pi\)
\(644\) 0.0659873 0.0501623i 0.00260027 0.00197667i
\(645\) 29.3155 6.45282i 1.15430 0.254080i
\(646\) 5.72154 + 6.73592i 0.225111 + 0.265021i
\(647\) 2.18853 0.238017i 0.0860402 0.00935743i −0.0649977 0.997885i \(-0.520704\pi\)
0.151038 + 0.988528i \(0.451738\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 3.88280 6.07363i 0.152413 0.238411i
\(650\) −4.37912 −0.171763
\(651\) 0.391568 0.0425856i 0.0153468 0.00166906i
\(652\) 2.86987 + 3.37867i 0.112393 + 0.132319i
\(653\) 5.55716 1.22322i 0.217469 0.0478684i −0.104900 0.994483i \(-0.533452\pi\)
0.322368 + 0.946614i \(0.395521\pi\)
\(654\) −5.74850 + 4.36990i −0.224784 + 0.170876i
\(655\) −18.0842 17.1303i −0.706609 0.669336i
\(656\) 2.06301 + 5.17776i 0.0805470 + 0.202158i
\(657\) −3.21293 + 1.08256i −0.125348 + 0.0422348i
\(658\) −3.74518 + 22.8446i −0.146002 + 0.890574i
\(659\) −1.98236 + 1.87780i −0.0772219 + 0.0731485i −0.725337 0.688394i \(-0.758316\pi\)
0.648115 + 0.761542i \(0.275558\pi\)
\(660\) 2.41898 + 1.11914i 0.0941587 + 0.0435625i
\(661\) 2.75152 + 2.09165i 0.107022 + 0.0813557i 0.657316 0.753615i \(-0.271692\pi\)
−0.550295 + 0.834970i \(0.685485\pi\)
\(662\) −2.11763 12.9170i −0.0823042 0.502033i
\(663\) 2.32389 + 4.38332i 0.0902523 + 0.170234i
\(664\) −8.32676 1.83286i −0.323141 0.0711287i
\(665\) −12.9804 + 6.00538i −0.503359 + 0.232879i
\(666\) 0.389953 0.978709i 0.0151104 0.0379242i
\(667\) −0.00304197 + 0.0561058i −0.000117786 + 0.00217243i
\(668\) 2.91828 4.30413i 0.112911 0.166532i
\(669\) −2.15604 + 2.53829i −0.0833574 + 0.0981360i
\(670\) −9.36961 + 17.6730i −0.361979 + 0.682766i
\(671\) 12.2236 + 4.11862i 0.471887 + 0.158997i
\(672\) −0.107145 1.97618i −0.00413322 0.0762327i
\(673\) 19.2829 + 11.6021i 0.743301 + 0.447229i 0.836185 0.548448i \(-0.184781\pi\)
−0.0928839 + 0.995677i \(0.529609\pi\)
\(674\) 3.22455 11.6138i 0.124205 0.447346i
\(675\) −0.820149 2.95391i −0.0315675 0.113696i
\(676\) 9.39076 5.65023i 0.361183 0.217317i
\(677\) −22.3312 32.9361i −0.858259 1.26584i −0.962499 0.271286i \(-0.912551\pi\)
0.104239 0.994552i \(-0.466759\pi\)
\(678\) −3.68196 0.400437i −0.141405 0.0153787i
\(679\) −19.9509 2.16980i −0.765647 0.0832691i
\(680\) −5.53547 8.16420i −0.212275 0.313083i
\(681\) −10.1340 + 6.09744i −0.388337 + 0.233655i
\(682\) −0.0499686 0.179971i −0.00191340 0.00689143i
\(683\) −1.73794 + 6.25948i −0.0665003 + 0.239512i −0.989329 0.145698i \(-0.953457\pi\)
0.922829 + 0.385210i \(0.125871\pi\)
\(684\) −2.18038 1.31189i −0.0833688 0.0501613i
\(685\) 0.632552 + 11.6667i 0.0241686 + 0.445763i
\(686\) 18.9109 + 6.37184i 0.722023 + 0.243278i
\(687\) −1.54678 + 2.91753i −0.0590133 + 0.111311i
\(688\) −6.84250 + 8.05561i −0.260868 + 0.307117i
\(689\) 0.338753 0.499623i 0.0129055 0.0190341i
\(690\) −0.00643966 + 0.118772i −0.000245154 + 0.00452159i
\(691\) 0.660123 1.65678i 0.0251123 0.0630270i −0.915886 0.401439i \(-0.868510\pi\)
0.940998 + 0.338412i \(0.109890\pi\)
\(692\) −1.05162 + 0.486529i −0.0399765 + 0.0184951i
\(693\) 1.81393 + 0.399275i 0.0689053 + 0.0151672i
\(694\) −13.6035 25.6590i −0.516383 0.974001i
\(695\) −2.12112 12.9382i −0.0804585 0.490775i
\(696\) 1.06801 + 0.811881i 0.0404829 + 0.0307743i
\(697\) 17.5690 + 8.12828i 0.665473 + 0.307881i
\(698\) −23.5835 + 22.3395i −0.892649 + 0.845562i
\(699\) −1.82168 + 11.1118i −0.0689024 + 0.420286i
\(700\) 5.74957 1.93726i 0.217313 0.0732214i
\(701\) −14.4002 36.1419i −0.543890 1.36506i −0.902143 0.431436i \(-0.858007\pi\)
0.358254 0.933624i \(-0.383372\pi\)
\(702\) −1.03705 0.982341i −0.0391407 0.0370761i
\(703\) 2.13420 1.62238i 0.0804930 0.0611892i
\(704\) −0.916550 + 0.201748i −0.0345438 + 0.00760366i
\(705\) −21.5061 25.3190i −0.809967 0.953567i
\(706\) 9.76900 1.06244i 0.367661 0.0399856i
\(707\) 35.3816 1.33066
\(708\) 5.43178 5.43100i 0.204139 0.204110i
\(709\) −32.1672 −1.20806 −0.604032 0.796960i \(-0.706440\pi\)
−0.604032 + 0.796960i \(0.706440\pi\)
\(710\) −5.39035 + 0.586236i −0.202296 + 0.0220010i
\(711\) −5.50046 6.47565i −0.206283 0.242856i
\(712\) 9.62463 2.11854i 0.360698 0.0793957i
\(713\) 0.00663582 0.00504442i 0.000248513 0.000188915i
\(714\) −4.99027 4.72703i −0.186756 0.176905i
\(715\) 1.40922 + 3.53686i 0.0527017 + 0.132271i
\(716\) −15.0394 + 5.06735i −0.562047 + 0.189376i
\(717\) −1.57113 + 9.58349i −0.0586750 + 0.357902i
\(718\) −6.76562 + 6.40874i −0.252491 + 0.239172i
\(719\) −23.5757 10.9073i −0.879225 0.406773i −0.0722698 0.997385i \(-0.523024\pi\)
−0.806956 + 0.590612i \(0.798886\pi\)
\(720\) 2.26091 + 1.71870i 0.0842592 + 0.0640522i
\(721\) 2.65907 + 16.2196i 0.0990289 + 0.604050i
\(722\) 5.86677 + 11.0659i 0.218339 + 0.411830i
\(723\) −23.3393 5.13736i −0.867997 0.191061i
\(724\) −2.07061 + 0.957966i −0.0769536 + 0.0356025i
\(725\) −1.52229 + 3.82067i −0.0565366 + 0.141896i
\(726\) −0.547844 + 10.1044i −0.0203324 + 0.375009i
\(727\) −18.6802 + 27.5512i −0.692810 + 1.02182i 0.304780 + 0.952423i \(0.401417\pi\)
−0.997589 + 0.0693947i \(0.977893\pi\)
\(728\) 1.83017 2.15464i 0.0678305 0.0798562i
\(729\) 0.468408 0.883512i 0.0173485 0.0327227i
\(730\) 9.12476 + 3.07449i 0.337722 + 0.113792i
\(731\) 1.98741 + 36.6556i 0.0735070 + 1.35576i
\(732\) 11.7768 + 7.08589i 0.435284 + 0.261902i
\(733\) 12.9383 46.5996i 0.477887 1.72119i −0.194417 0.980919i \(-0.562281\pi\)
0.672304 0.740275i \(-0.265305\pi\)
\(734\) 6.65348 + 23.9637i 0.245584 + 0.884515i
\(735\) −7.50302 + 4.51442i −0.276753 + 0.166517i
\(736\) −0.0235040 0.0346658i −0.000866368 0.00127780i
\(737\) 6.57134 + 0.714676i 0.242058 + 0.0263254i
\(738\) −5.54095 0.602614i −0.203965 0.0221825i
\(739\) −25.7886 38.0354i −0.948649 1.39915i −0.916661 0.399665i \(-0.869127\pi\)
−0.0319879 0.999488i \(-0.510184\pi\)
\(740\) −2.56376 + 1.54256i −0.0942456 + 0.0567057i
\(741\) −0.972426 3.50236i −0.0357230 0.128662i
\(742\) −0.223740 + 0.805840i −0.00821377 + 0.0295833i
\(743\) −16.7820 10.0974i −0.615673 0.370438i 0.173297 0.984870i \(-0.444558\pi\)
−0.788970 + 0.614431i \(0.789386\pi\)
\(744\) −0.0107747 0.198728i −0.000395021 0.00728573i
\(745\) −13.0259 4.38895i −0.477233 0.160799i
\(746\) 12.5014 23.5801i 0.457708 0.863329i
\(747\) 5.51968 6.49827i 0.201954 0.237759i
\(748\) −1.82921 + 2.69789i −0.0668827 + 0.0986446i
\(749\) −1.42883 + 26.3531i −0.0522081 + 0.962922i
\(750\) 2.03338 5.10339i 0.0742485 0.186350i
\(751\) −13.2188 + 6.11568i −0.482362 + 0.223164i −0.645973 0.763361i \(-0.723548\pi\)
0.163611 + 0.986525i \(0.447686\pi\)
\(752\) 11.4236 + 2.51453i 0.416577 + 0.0916956i
\(753\) 14.4482 + 27.2522i 0.526521 + 0.993124i
\(754\) 0.310031 + 1.89111i 0.0112907 + 0.0688701i
\(755\) 25.5448 + 19.4187i 0.929671 + 0.706718i
\(756\) 1.79616 + 0.830994i 0.0653259 + 0.0302230i
\(757\) −13.7957 + 13.0680i −0.501413 + 0.474964i −0.896100 0.443852i \(-0.853612\pi\)
0.394687 + 0.918816i \(0.370853\pi\)
\(758\) 2.39669 14.6191i 0.0870516 0.530991i
\(759\) 0.0372489 0.0125506i 0.00135205 0.000455558i