Properties

Label 462.2.bc.b.95.9
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.9
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(0.257732 + 1.71277i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.789465 + 1.77317i) q^{5} +(-1.73033 + 0.0772875i) q^{6} +(-2.28945 + 1.32606i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86715 + 0.882871i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(0.257732 + 1.71277i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.789465 + 1.77317i) q^{5} +(-1.73033 + 0.0772875i) q^{6} +(-2.28945 + 1.32606i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.86715 + 0.882871i) q^{9} +(-1.68093 - 0.970486i) q^{10} +(-3.21976 - 0.795724i) q^{11} +(0.104004 - 1.72893i) q^{12} +(3.98429 - 5.48391i) q^{13} +(-1.07948 - 2.41552i) q^{14} +(-3.24049 - 0.895167i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.459224 + 4.36922i) q^{17} +(-0.578336 - 2.94373i) q^{18} +(-0.0977002 - 0.459644i) q^{19} +(1.14088 - 1.57028i) q^{20} +(-2.86129 - 3.57953i) q^{21} +(1.12792 - 3.11894i) q^{22} +(0.703593 - 0.406219i) q^{23} +(1.70858 + 0.284156i) q^{24} +(0.824787 + 0.916019i) q^{25} +(5.03740 + 4.53569i) q^{26} +(-2.25111 - 4.68321i) q^{27} +(2.51512 - 0.821074i) q^{28} +(0.927952 + 2.85594i) q^{29} +(1.22899 - 3.12917i) q^{30} +(-7.66426 + 3.41235i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(0.533055 - 5.71978i) q^{33} -4.39329 q^{34} +(-0.543877 - 5.10645i) q^{35} +(2.98805 - 0.267465i) q^{36} +(-6.60480 + 7.33538i) q^{37} +(0.467338 - 0.0491192i) q^{38} +(10.4195 + 5.41079i) q^{39} +(1.44242 + 1.29876i) q^{40} +(-1.04648 + 3.22072i) q^{41} +(3.85901 - 2.47145i) q^{42} +3.53953i q^{43} +(2.98396 + 1.44776i) q^{44} +(0.698034 - 5.78093i) q^{45} +(0.330449 + 0.742200i) q^{46} +(-1.94130 - 9.13311i) q^{47} +(-0.461195 + 1.66952i) q^{48} +(3.48316 - 6.07187i) q^{49} +(-0.997214 + 0.724519i) q^{50} +(-7.36511 + 1.91263i) q^{51} +(-5.03740 + 4.53569i) q^{52} +(-1.70355 - 3.82624i) q^{53} +(4.89286 - 1.74925i) q^{54} +(3.95283 - 5.08097i) q^{55} +(0.553675 + 2.58717i) q^{56} +(0.762082 - 0.285803i) q^{57} +(-2.93730 + 0.624341i) q^{58} +(0.627177 - 2.95064i) q^{59} +(2.98357 + 1.54934i) q^{60} +(-2.08111 + 4.67425i) q^{61} +(-2.59252 - 7.97896i) q^{62} +(5.39345 - 5.82329i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(6.57843 + 11.3942i) q^{65} +(5.63272 + 1.12801i) q^{66} +(-1.96138 + 3.39722i) q^{67} +(0.459224 - 4.36922i) q^{68} +(0.877098 + 1.10040i) q^{69} +(5.13533 - 0.00712871i) q^{70} +(8.37299 + 11.5244i) q^{71} +(-0.0463369 + 2.99964i) q^{72} +(-1.63635 + 7.69840i) q^{73} +(-6.60480 - 7.33538i) q^{74} +(-1.35635 + 1.64876i) q^{75} +0.469912i q^{76} +(8.42664 - 2.44780i) q^{77} +(-6.47029 + 9.79688i) q^{78} +(-7.45986 - 0.784063i) q^{79} +(-1.44242 + 1.29876i) q^{80} +(7.44108 - 5.06265i) q^{81} +(-3.09369 - 1.37740i) q^{82} +(-4.29547 + 3.12084i) q^{83} +(2.05454 + 4.09620i) q^{84} +(-8.10990 - 2.63507i) q^{85} +(-3.52014 - 0.369981i) q^{86} +(-4.65240 + 2.32544i) q^{87} +(-1.75174 + 2.81628i) q^{88} +(-11.9538 + 6.90154i) q^{89} +(5.67629 + 1.29848i) q^{90} +(-1.84987 + 17.8385i) q^{91} +(-0.772675 + 0.251057i) q^{92} +(-7.81989 - 12.2476i) q^{93} +(9.28600 - 0.975997i) q^{94} +(0.892156 + 0.189634i) q^{95} +(-1.61217 - 0.633181i) q^{96} +(1.56218 + 1.13499i) q^{97} +(5.67452 + 4.09876i) q^{98} +(9.93404 - 0.561173i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} + O(q^{10}) \) \( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) 0.257732 + 1.71277i 0.148802 + 0.988867i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) −0.789465 + 1.77317i −0.353059 + 0.792984i 0.646489 + 0.762924i \(0.276237\pi\)
−0.999548 + 0.0300608i \(0.990430\pi\)
\(6\) −1.73033 + 0.0772875i −0.706402 + 0.0315525i
\(7\) −2.28945 + 1.32606i −0.865330 + 0.501202i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −2.86715 + 0.882871i −0.955716 + 0.294290i
\(10\) −1.68093 0.970486i −0.531557 0.306895i
\(11\) −3.21976 0.795724i −0.970793 0.239920i
\(12\) 0.104004 1.72893i 0.0300234 0.499098i
\(13\) 3.98429 5.48391i 1.10504 1.52096i 0.276521 0.961008i \(-0.410819\pi\)
0.828523 0.559955i \(-0.189181\pi\)
\(14\) −1.07948 2.41552i −0.288503 0.645574i
\(15\) −3.24049 0.895167i −0.836692 0.231131i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) 0.459224 + 4.36922i 0.111378 + 1.05969i 0.897317 + 0.441387i \(0.145514\pi\)
−0.785939 + 0.618305i \(0.787820\pi\)
\(18\) −0.578336 2.94373i −0.136315 0.693843i
\(19\) −0.0977002 0.459644i −0.0224140 0.105449i 0.965519 0.260334i \(-0.0838327\pi\)
−0.987933 + 0.154885i \(0.950499\pi\)
\(20\) 1.14088 1.57028i 0.255107 0.351125i
\(21\) −2.86129 3.57953i −0.624385 0.781117i
\(22\) 1.12792 3.11894i 0.240473 0.664961i
\(23\) 0.703593 0.406219i 0.146709 0.0847026i −0.424849 0.905264i \(-0.639673\pi\)
0.571558 + 0.820562i \(0.306339\pi\)
\(24\) 1.70858 + 0.284156i 0.348763 + 0.0580032i
\(25\) 0.824787 + 0.916019i 0.164957 + 0.183204i
\(26\) 5.03740 + 4.53569i 0.987914 + 0.889522i
\(27\) −2.25111 4.68321i −0.433226 0.901285i
\(28\) 2.51512 0.821074i 0.475313 0.155168i
\(29\) 0.927952 + 2.85594i 0.172316 + 0.530335i 0.999501 0.0315953i \(-0.0100588\pi\)
−0.827184 + 0.561931i \(0.810059\pi\)
\(30\) 1.22899 3.12917i 0.224381 0.571306i
\(31\) −7.66426 + 3.41235i −1.37654 + 0.612876i −0.955723 0.294269i \(-0.904924\pi\)
−0.420819 + 0.907145i \(0.638257\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 0.533055 5.71978i 0.0927929 0.995685i
\(34\) −4.39329 −0.753443
\(35\) −0.543877 5.10645i −0.0919321 0.863147i
\(36\) 2.98805 0.267465i 0.498009 0.0445775i
\(37\) −6.60480 + 7.33538i −1.08582 + 1.20593i −0.108517 + 0.994095i \(0.534610\pi\)
−0.977306 + 0.211834i \(0.932056\pi\)
\(38\) 0.467338 0.0491192i 0.0758122 0.00796819i
\(39\) 10.4195 + 5.41079i 1.66846 + 0.866420i
\(40\) 1.44242 + 1.29876i 0.228067 + 0.205353i
\(41\) −1.04648 + 3.22072i −0.163432 + 0.502993i −0.998917 0.0465204i \(-0.985187\pi\)
0.835485 + 0.549513i \(0.185187\pi\)
\(42\) 3.85901 2.47145i 0.595457 0.381353i
\(43\) 3.53953i 0.539773i 0.962892 + 0.269886i \(0.0869862\pi\)
−0.962892 + 0.269886i \(0.913014\pi\)
\(44\) 2.98396 + 1.44776i 0.449848 + 0.218258i
\(45\) 0.698034 5.78093i 0.104057 0.861770i
\(46\) 0.330449 + 0.742200i 0.0487220 + 0.109431i
\(47\) −1.94130 9.13311i −0.283168 1.33220i −0.857882 0.513846i \(-0.828220\pi\)
0.574714 0.818354i \(-0.305113\pi\)
\(48\) −0.461195 + 1.66952i −0.0665678 + 0.240975i
\(49\) 3.48316 6.07187i 0.497594 0.867410i
\(50\) −0.997214 + 0.724519i −0.141027 + 0.102462i
\(51\) −7.36511 + 1.91263i −1.03132 + 0.267822i
\(52\) −5.03740 + 4.53569i −0.698561 + 0.628987i
\(53\) −1.70355 3.82624i −0.234001 0.525575i 0.757933 0.652333i \(-0.226210\pi\)
−0.991934 + 0.126758i \(0.959543\pi\)
\(54\) 4.89286 1.74925i 0.665835 0.238043i
\(55\) 3.95283 5.08097i 0.533000 0.685118i
\(56\) 0.553675 + 2.58717i 0.0739879 + 0.345725i
\(57\) 0.762082 0.285803i 0.100940 0.0378555i
\(58\) −2.93730 + 0.624341i −0.385686 + 0.0819800i
\(59\) 0.627177 2.95064i 0.0816515 0.384140i −0.918279 0.395934i \(-0.870421\pi\)
0.999930 + 0.0117940i \(0.00375422\pi\)
\(60\) 2.98357 + 1.54934i 0.385177 + 0.200019i
\(61\) −2.08111 + 4.67425i −0.266459 + 0.598476i −0.996376 0.0850593i \(-0.972892\pi\)
0.729917 + 0.683536i \(0.239559\pi\)
\(62\) −2.59252 7.97896i −0.329251 1.01333i
\(63\) 5.39345 5.82329i 0.679511 0.733665i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 6.57843 + 11.3942i 0.815953 + 1.41327i
\(66\) 5.63272 + 1.12801i 0.693340 + 0.138849i
\(67\) −1.96138 + 3.39722i −0.239621 + 0.415036i −0.960606 0.277915i \(-0.910357\pi\)
0.720984 + 0.692951i \(0.243690\pi\)
\(68\) 0.459224 4.36922i 0.0556891 0.529846i
\(69\) 0.877098 + 1.10040i 0.105590 + 0.132472i
\(70\) 5.13533 0.00712871i 0.613789 0.000852044i
\(71\) 8.37299 + 11.5244i 0.993691 + 1.36770i 0.929117 + 0.369786i \(0.120569\pi\)
0.0645741 + 0.997913i \(0.479431\pi\)
\(72\) −0.0463369 + 2.99964i −0.00546085 + 0.353511i
\(73\) −1.63635 + 7.69840i −0.191520 + 0.901030i 0.772462 + 0.635061i \(0.219025\pi\)
−0.963982 + 0.265969i \(0.914308\pi\)
\(74\) −6.60480 7.33538i −0.767793 0.852720i
\(75\) −1.35635 + 1.64876i −0.156618 + 0.190382i
\(76\) 0.469912i 0.0539026i
\(77\) 8.42664 2.44780i 0.960305 0.278953i
\(78\) −6.47029 + 9.79688i −0.732616 + 1.10928i
\(79\) −7.45986 0.784063i −0.839300 0.0882140i −0.324883 0.945754i \(-0.605325\pi\)
−0.514417 + 0.857540i \(0.671992\pi\)
\(80\) −1.44242 + 1.29876i −0.161268 + 0.145206i
\(81\) 7.44108 5.06265i 0.826786 0.562516i
\(82\) −3.09369 1.37740i −0.341641 0.152109i
\(83\) −4.29547 + 3.12084i −0.471489 + 0.342557i −0.798021 0.602629i \(-0.794120\pi\)
0.326532 + 0.945186i \(0.394120\pi\)
\(84\) 2.05454 + 4.09620i 0.224168 + 0.446932i
\(85\) −8.10990 2.63507i −0.879642 0.285813i
\(86\) −3.52014 0.369981i −0.379586 0.0398961i
\(87\) −4.65240 + 2.32544i −0.498790 + 0.249313i
\(88\) −1.75174 + 2.81628i −0.186736 + 0.300216i
\(89\) −11.9538 + 6.90154i −1.26710 + 0.731561i −0.974439 0.224654i \(-0.927875\pi\)
−0.292663 + 0.956216i \(0.594541\pi\)
\(90\) 5.67629 + 1.29848i 0.598334 + 0.136872i
\(91\) −1.84987 + 17.8385i −0.193919 + 1.86999i
\(92\) −0.772675 + 0.251057i −0.0805570 + 0.0261745i
\(93\) −7.81989 12.2476i −0.810885 1.27002i
\(94\) 9.28600 0.975997i 0.957777 0.100666i
\(95\) 0.892156 + 0.189634i 0.0915332 + 0.0194560i
\(96\) −1.61217 0.633181i −0.164541 0.0646238i
\(97\) 1.56218 + 1.13499i 0.158616 + 0.115241i 0.664262 0.747500i \(-0.268746\pi\)
−0.505646 + 0.862741i \(0.668746\pi\)
\(98\) 5.67452 + 4.09876i 0.573213 + 0.414037i
\(99\) 9.93404 0.561173i 0.998408 0.0564000i
\(100\) −0.616312 1.06748i −0.0616312 0.106748i
\(101\) 12.5476 5.58653i 1.24853 0.555881i 0.327307 0.944918i \(-0.393859\pi\)
0.921222 + 0.389037i \(0.127192\pi\)
\(102\) −1.13229 7.52468i −0.112114 0.745055i
\(103\) 1.37384 1.52581i 0.135369 0.150342i −0.671649 0.740870i \(-0.734414\pi\)
0.807018 + 0.590527i \(0.201080\pi\)
\(104\) −3.98429 5.48391i −0.390692 0.537741i
\(105\) 8.60599 2.24763i 0.839858 0.219347i
\(106\) 3.98335 1.29427i 0.386897 0.125711i
\(107\) −1.30137 + 0.276615i −0.125808 + 0.0267414i −0.270386 0.962752i \(-0.587151\pi\)
0.144577 + 0.989494i \(0.453818\pi\)
\(108\) 1.22822 + 5.04891i 0.118186 + 0.485831i
\(109\) 15.4198 + 8.90263i 1.47695 + 0.852717i 0.999661 0.0260299i \(-0.00828652\pi\)
0.477288 + 0.878747i \(0.341620\pi\)
\(110\) 4.63995 + 4.46229i 0.442402 + 0.425462i
\(111\) −14.2661 9.42193i −1.35408 0.894290i
\(112\) −2.63087 + 0.280209i −0.248594 + 0.0264772i
\(113\) −0.887889 0.288493i −0.0835256 0.0271391i 0.266956 0.963709i \(-0.413982\pi\)
−0.350482 + 0.936570i \(0.613982\pi\)
\(114\) 0.204578 + 0.787782i 0.0191605 + 0.0737825i
\(115\) 0.164833 + 1.56828i 0.0153708 + 0.146243i
\(116\) −0.313890 2.98647i −0.0291440 0.277286i
\(117\) −6.58197 + 19.2408i −0.608503 + 1.77881i
\(118\) 2.86891 + 0.932167i 0.264105 + 0.0858129i
\(119\) −6.84520 9.39416i −0.627498 0.861161i
\(120\) −1.85272 + 2.80527i −0.169130 + 0.256085i
\(121\) 9.73365 + 5.12407i 0.884877 + 0.465825i
\(122\) −4.43111 2.55830i −0.401174 0.231618i
\(123\) −5.78607 0.962287i −0.521712 0.0867665i
\(124\) 8.20625 1.74429i 0.736943 0.156642i
\(125\) −11.5053 + 3.73829i −1.02906 + 0.334363i
\(126\) 5.22762 + 5.97261i 0.465713 + 0.532082i
\(127\) 1.20848 + 1.66333i 0.107235 + 0.147596i 0.859262 0.511536i \(-0.170923\pi\)
−0.752027 + 0.659133i \(0.770923\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) −6.06239 + 0.912251i −0.533764 + 0.0803192i
\(130\) −12.0194 + 5.35137i −1.05417 + 0.469347i
\(131\) 3.07483 + 5.32575i 0.268649 + 0.465313i 0.968513 0.248962i \(-0.0800896\pi\)
−0.699864 + 0.714276i \(0.746756\pi\)
\(132\) −1.71061 + 5.48396i −0.148890 + 0.477317i
\(133\) 0.833192 + 0.922775i 0.0722469 + 0.0800147i
\(134\) −3.17359 2.30575i −0.274156 0.199186i
\(135\) 10.0813 0.294362i 0.867660 0.0253346i
\(136\) 4.29729 + 0.913416i 0.368489 + 0.0783248i
\(137\) 20.5401 2.15886i 1.75486 0.184443i 0.828224 0.560397i \(-0.189352\pi\)
0.926638 + 0.375954i \(0.122685\pi\)
\(138\) −1.18605 + 0.757271i −0.100963 + 0.0644632i
\(139\) −3.63691 + 1.18170i −0.308479 + 0.100231i −0.459166 0.888351i \(-0.651852\pi\)
0.150687 + 0.988582i \(0.451852\pi\)
\(140\) −0.529698 + 5.10794i −0.0447677 + 0.431700i
\(141\) 15.1426 5.67890i 1.27523 0.478249i
\(142\) −12.3365 + 7.12249i −1.03526 + 0.597706i
\(143\) −17.1921 + 14.4864i −1.43768 + 1.21142i
\(144\) −2.97837 0.359631i −0.248197 0.0299693i
\(145\) −5.79665 0.609252i −0.481385 0.0505957i
\(146\) −7.48518 2.43208i −0.619478 0.201281i
\(147\) 11.2974 + 4.40092i 0.931796 + 0.362982i
\(148\) 7.98558 5.80186i 0.656411 0.476910i
\(149\) 17.7605 + 7.90749i 1.45500 + 0.647807i 0.973510 0.228645i \(-0.0734296\pi\)
0.481489 + 0.876452i \(0.340096\pi\)
\(150\) −1.49795 1.52126i −0.122307 0.124211i
\(151\) 1.55025 1.39585i 0.126157 0.113593i −0.603637 0.797259i \(-0.706282\pi\)
0.729795 + 0.683667i \(0.239616\pi\)
\(152\) −0.467338 0.0491192i −0.0379061 0.00398409i
\(153\) −5.17412 12.1218i −0.418303 0.979987i
\(154\) 1.55357 + 8.63634i 0.125190 + 0.695936i
\(155\) 16.2839i 1.30796i
\(156\) −9.06689 7.45889i −0.725932 0.597190i
\(157\) −0.121883 0.135364i −0.00972730 0.0108033i 0.738262 0.674515i \(-0.235647\pi\)
−0.747989 + 0.663711i \(0.768980\pi\)
\(158\) 1.55954 7.33704i 0.124070 0.583703i
\(159\) 6.11441 3.90394i 0.484904 0.309602i
\(160\) −1.14088 1.57028i −0.0901941 0.124142i
\(161\) −1.07217 + 1.86302i −0.0844989 + 0.146827i
\(162\) 4.25711 + 7.92950i 0.334470 + 0.623001i
\(163\) −2.21545 + 21.0786i −0.173527 + 1.65100i 0.467874 + 0.883795i \(0.345020\pi\)
−0.641401 + 0.767206i \(0.721646\pi\)
\(164\) 1.69324 2.93277i 0.132219 0.229011i
\(165\) 9.72129 + 5.46076i 0.756802 + 0.425119i
\(166\) −2.65475 4.59816i −0.206048 0.356886i
\(167\) 3.26292 + 2.37065i 0.252492 + 0.183446i 0.706831 0.707383i \(-0.250124\pi\)
−0.454338 + 0.890829i \(0.650124\pi\)
\(168\) −4.28852 + 1.61511i −0.330867 + 0.124609i
\(169\) −10.1814 31.3353i −0.783188 2.41040i
\(170\) 3.46835 7.79003i 0.266010 0.597468i
\(171\) 0.685927 + 1.23161i 0.0524542 + 0.0941835i
\(172\) 0.735909 3.46218i 0.0561126 0.263989i
\(173\) 21.3520 4.53851i 1.62336 0.345056i 0.695658 0.718373i \(-0.255113\pi\)
0.927704 + 0.373316i \(0.121779\pi\)
\(174\) −1.82639 4.86999i −0.138458 0.369193i
\(175\) −3.10300 1.00347i −0.234565 0.0758549i
\(176\) −2.61774 2.03652i −0.197320 0.153509i
\(177\) 5.21540 + 0.313734i 0.392013 + 0.0235817i
\(178\) −5.61422 12.6097i −0.420803 0.945140i
\(179\) 2.15491 1.94029i 0.161066 0.145024i −0.584657 0.811280i \(-0.698771\pi\)
0.745723 + 0.666256i \(0.232104\pi\)
\(180\) −1.88470 + 5.50947i −0.140477 + 0.410652i
\(181\) 10.1349 7.36341i 0.753319 0.547318i −0.143535 0.989645i \(-0.545847\pi\)
0.896854 + 0.442327i \(0.145847\pi\)
\(182\) −17.5474 3.70437i −1.30070 0.274586i
\(183\) −8.54228 2.35975i −0.631463 0.174438i
\(184\) −0.168916 0.794685i −0.0124526 0.0585850i
\(185\) −7.79259 17.5024i −0.572922 1.28680i
\(186\) 12.9979 6.49683i 0.953055 0.476370i
\(187\) 1.99810 14.4332i 0.146116 1.05546i
\(188\) 9.33715i 0.680981i
\(189\) 11.3640 + 7.73689i 0.826610 + 0.562776i
\(190\) −0.281850 + 0.867446i −0.0204476 + 0.0629312i
\(191\) −5.66614 5.10182i −0.409988 0.369154i 0.438176 0.898889i \(-0.355625\pi\)
−0.848163 + 0.529735i \(0.822291\pi\)
\(192\) 0.798230 1.53715i 0.0576073 0.110934i
\(193\) −15.2899 + 1.60703i −1.10059 + 0.115677i −0.637364 0.770563i \(-0.719975\pi\)
−0.463227 + 0.886240i \(0.653308\pi\)
\(194\) −1.29207 + 1.43499i −0.0927650 + 0.103026i
\(195\) −17.8201 + 14.2040i −1.27612 + 1.01717i
\(196\) −4.66945 + 5.21500i −0.333532 + 0.372500i
\(197\) 3.24755 0.231378 0.115689 0.993285i \(-0.463092\pi\)
0.115689 + 0.993285i \(0.463092\pi\)
\(198\) −0.480291 + 9.93828i −0.0341328 + 0.706282i
\(199\) 8.48092 14.6894i 0.601197 1.04130i −0.391443 0.920202i \(-0.628024\pi\)
0.992640 0.121101i \(-0.0386425\pi\)
\(200\) 1.12606 0.501354i 0.0796244 0.0354511i
\(201\) −6.32416 2.48382i −0.446072 0.175195i
\(202\) 4.24435 + 13.0628i 0.298632 + 0.919093i
\(203\) −5.91164 5.30802i −0.414916 0.372550i
\(204\) 7.60182 0.339546i 0.532234 0.0237730i
\(205\) −4.88473 4.39823i −0.341164 0.307185i
\(206\) 1.37384 + 1.52581i 0.0957202 + 0.106308i
\(207\) −1.65866 + 1.78587i −0.115285 + 0.124127i
\(208\) 5.87034 3.38924i 0.407035 0.235002i
\(209\) −0.0511783 + 1.55768i −0.00354008 + 0.107747i
\(210\) 1.33575 + 8.79378i 0.0921755 + 0.606829i
\(211\) −3.75889 + 5.17366i −0.258772 + 0.356170i −0.918559 0.395283i \(-0.870647\pi\)
0.659787 + 0.751453i \(0.270647\pi\)
\(212\) 0.870806 + 4.09682i 0.0598072 + 0.281371i
\(213\) −17.5807 + 17.3112i −1.20461 + 1.18614i
\(214\) −0.139070 1.32316i −0.00950660 0.0904492i
\(215\) −6.27617 2.79433i −0.428032 0.190572i
\(216\) −5.14963 + 0.693741i −0.350388 + 0.0472031i
\(217\) 13.0220 17.9756i 0.883989 1.22027i
\(218\) −10.4657 + 14.4048i −0.708824 + 0.975613i
\(219\) −13.6073 0.818553i −0.919497 0.0553127i
\(220\) −4.92285 + 4.14810i −0.331898 + 0.279665i
\(221\) 25.7901 + 14.8899i 1.73483 + 1.00160i
\(222\) 10.8615 13.2031i 0.728978 0.886131i
\(223\) 4.31263 13.2729i 0.288795 0.888819i −0.696441 0.717614i \(-0.745234\pi\)
0.985235 0.171205i \(-0.0547659\pi\)
\(224\) −0.00367275 2.64575i −0.000245396 0.176777i
\(225\) −3.17351 1.89818i −0.211568 0.126545i
\(226\) 0.379722 0.852870i 0.0252587 0.0567321i
\(227\) −9.83488 2.09047i −0.652764 0.138749i −0.130386 0.991463i \(-0.541622\pi\)
−0.522378 + 0.852714i \(0.674955\pi\)
\(228\) −0.804851 + 0.121112i −0.0533025 + 0.00802081i
\(229\) 1.89492 18.0289i 0.125220 1.19139i −0.733772 0.679396i \(-0.762242\pi\)
0.858992 0.511990i \(-0.171091\pi\)
\(230\) −1.57692 −0.103979
\(231\) 6.36434 + 13.8020i 0.418743 + 0.908105i
\(232\) 3.00292 0.197151
\(233\) −0.194435 + 1.84993i −0.0127379 + 0.121193i −0.999043 0.0437378i \(-0.986073\pi\)
0.986305 + 0.164931i \(0.0527401\pi\)
\(234\) −18.4474 8.55713i −1.20594 0.559397i
\(235\) 17.7271 + 3.76801i 1.15639 + 0.245798i
\(236\) −1.22694 + 2.75576i −0.0798672 + 0.179385i
\(237\) −0.579729 12.9791i −0.0376575 0.843082i
\(238\) 10.0582 5.82574i 0.651977 0.377627i
\(239\) −0.620309 + 1.90911i −0.0401245 + 0.123490i −0.969112 0.246620i \(-0.920680\pi\)
0.928988 + 0.370110i \(0.120680\pi\)
\(240\) −2.59624 2.13580i −0.167587 0.137866i
\(241\) −10.2866 5.93894i −0.662615 0.382561i 0.130658 0.991428i \(-0.458291\pi\)
−0.793273 + 0.608867i \(0.791625\pi\)
\(242\) −6.11344 + 9.14471i −0.392987 + 0.587845i
\(243\) 10.5889 + 11.4400i 0.679281 + 0.733878i
\(244\) 3.00746 4.13942i 0.192533 0.264999i
\(245\) 8.01661 + 10.9697i 0.512163 + 0.700831i
\(246\) 1.56182 5.65378i 0.0995783 0.360472i
\(247\) −2.90991 1.29558i −0.185153 0.0824355i
\(248\) 0.876950 + 8.34362i 0.0556864 + 0.529820i
\(249\) −6.45236 6.55281i −0.408902 0.415267i
\(250\) −2.51518 11.8330i −0.159074 0.748385i
\(251\) −6.84548 + 9.42200i −0.432083 + 0.594711i −0.968430 0.249286i \(-0.919804\pi\)
0.536347 + 0.843998i \(0.319804\pi\)
\(252\) −6.48632 + 4.57467i −0.408600 + 0.288177i
\(253\) −2.58863 + 0.748062i −0.162746 + 0.0470302i
\(254\) −1.78053 + 1.02799i −0.111721 + 0.0645020i
\(255\) 2.42307 14.5695i 0.151739 0.912379i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) −18.0708 16.2710i −1.12722 1.01496i −0.999733 0.0231165i \(-0.992641\pi\)
−0.127490 0.991840i \(-0.540692\pi\)
\(258\) −0.273561 6.12454i −0.0170312 0.381297i
\(259\) 5.39425 25.5523i 0.335182 1.58774i
\(260\) −4.06569 12.5129i −0.252143 0.776018i
\(261\) −5.18201 7.36915i −0.320758 0.456139i
\(262\) −5.61799 + 2.50129i −0.347080 + 0.154530i
\(263\) −15.2281 + 26.3759i −0.939005 + 1.62640i −0.171674 + 0.985154i \(0.554918\pi\)
−0.767331 + 0.641251i \(0.778416\pi\)
\(264\) −5.27511 2.27447i −0.324660 0.139984i
\(265\) 8.12946 0.499389
\(266\) −1.00481 + 0.732172i −0.0616090 + 0.0448923i
\(267\) −14.9016 18.6954i −0.911964 1.14414i
\(268\) 2.62484 2.91519i 0.160338 0.178073i
\(269\) −8.66585 + 0.910817i −0.528366 + 0.0555335i −0.364956 0.931025i \(-0.618916\pi\)
−0.163410 + 0.986558i \(0.552249\pi\)
\(270\) −0.761033 + 10.0568i −0.0463150 + 0.612040i
\(271\) 14.6677 + 13.2068i 0.890998 + 0.802259i 0.981065 0.193677i \(-0.0620414\pi\)
−0.0900669 + 0.995936i \(0.528708\pi\)
\(272\) −1.35760 + 4.17827i −0.0823166 + 0.253345i
\(273\) −31.0300 + 1.42916i −1.87802 + 0.0864969i
\(274\) 20.6533i 1.24771i
\(275\) −1.92671 3.60566i −0.116185 0.217429i
\(276\) −0.629146 1.25871i −0.0378702 0.0757653i
\(277\) −3.65486 8.20895i −0.219599 0.493228i 0.769829 0.638250i \(-0.220341\pi\)
−0.989428 + 0.145022i \(0.953675\pi\)
\(278\) −0.795070 3.74051i −0.0476851 0.224341i
\(279\) 18.9619 16.5503i 1.13522 0.990839i
\(280\) −5.02459 1.06072i −0.300277 0.0633902i
\(281\) −0.288036 + 0.209270i −0.0171828 + 0.0124840i −0.596343 0.802729i \(-0.703380\pi\)
0.579161 + 0.815213i \(0.303380\pi\)
\(282\) 4.06496 + 15.6532i 0.242065 + 0.932135i
\(283\) 10.4870 9.44252i 0.623386 0.561299i −0.295737 0.955269i \(-0.595565\pi\)
0.919123 + 0.393970i \(0.128899\pi\)
\(284\) −5.79396 13.0134i −0.343808 0.772206i
\(285\) −0.0948609 + 1.57693i −0.00561907 + 0.0934093i
\(286\) −12.6100 18.6122i −0.745646 1.10056i
\(287\) −1.87500 8.76137i −0.110678 0.517167i
\(288\) 0.668985 2.92446i 0.0394203 0.172325i
\(289\) −2.25071 + 0.478402i −0.132394 + 0.0281413i
\(290\) 1.21183 5.70121i 0.0711611 0.334787i
\(291\) −1.54135 + 2.96818i −0.0903557 + 0.173998i
\(292\) 3.20117 7.18996i 0.187335 0.420760i
\(293\) 1.18310 + 3.64120i 0.0691173 + 0.212721i 0.979649 0.200718i \(-0.0643274\pi\)
−0.910532 + 0.413439i \(0.864327\pi\)
\(294\) −5.55771 + 10.7755i −0.324132 + 0.628441i
\(295\) 4.73684 + 3.44151i 0.275789 + 0.200373i
\(296\) 4.93536 + 8.54830i 0.286862 + 0.496860i
\(297\) 3.52148 + 16.8701i 0.204337 + 0.978901i
\(298\) −9.72065 + 16.8367i −0.563102 + 0.975322i
\(299\) 0.575649 5.47693i 0.0332906 0.316739i
\(300\) 1.66951 1.33073i 0.0963892 0.0768295i
\(301\) −4.69361 8.10357i −0.270535 0.467082i
\(302\) 1.22616 + 1.68766i 0.0705575 + 0.0971141i
\(303\) 12.8023 + 20.0512i 0.735476 + 1.15191i
\(304\) 0.0977002 0.459644i 0.00560349 0.0263624i
\(305\) −6.64526 7.38031i −0.380507 0.422595i
\(306\) 12.5962 3.87871i 0.720077 0.221731i
\(307\) 17.3563i 0.990578i 0.868728 + 0.495289i \(0.164938\pi\)
−0.868728 + 0.495289i \(0.835062\pi\)
\(308\) −8.75142 + 0.642317i −0.498659 + 0.0365994i
\(309\) 2.96744 + 1.95982i 0.168812 + 0.111490i
\(310\) 16.1947 + 1.70214i 0.919799 + 0.0966748i
\(311\) 18.5201 16.6756i 1.05018 0.945587i 0.0515901 0.998668i \(-0.483571\pi\)
0.998590 + 0.0530818i \(0.0169044\pi\)
\(312\) 8.36578 8.23755i 0.473619 0.466359i
\(313\) −24.8209 11.0510i −1.40296 0.624639i −0.440922 0.897546i \(-0.645348\pi\)
−0.962041 + 0.272907i \(0.912015\pi\)
\(314\) 0.147363 0.107066i 0.00831618 0.00604206i
\(315\) 6.06772 + 14.1608i 0.341877 + 0.797869i
\(316\) 7.13383 + 2.31792i 0.401309 + 0.130393i
\(317\) −0.275689 0.0289761i −0.0154842 0.00162746i 0.0967832 0.995305i \(-0.469145\pi\)
−0.112267 + 0.993678i \(0.535811\pi\)
\(318\) 3.24342 + 6.48898i 0.181882 + 0.363884i
\(319\) −0.715238 9.93383i −0.0400456 0.556188i
\(320\) 1.68093 0.970486i 0.0939669 0.0542518i
\(321\) −0.809184 2.15766i −0.0451642 0.120429i
\(322\) −1.74074 1.26104i −0.0970078 0.0702748i
\(323\) 1.96342 0.637953i 0.109248 0.0354967i
\(324\) −8.33105 + 3.40493i −0.462836 + 0.189163i
\(325\) 8.30956 0.873369i 0.460931 0.0484458i
\(326\) −20.7315 4.40662i −1.14821 0.244060i
\(327\) −11.2740 + 28.7050i −0.623451 + 1.58739i
\(328\) 2.73971 + 1.99052i 0.151275 + 0.109908i
\(329\) 16.5555 + 18.3355i 0.912735 + 1.01087i
\(330\) −6.44699 + 9.09723i −0.354895 + 0.500786i
\(331\) 8.15966 + 14.1329i 0.448495 + 0.776817i 0.998288 0.0584841i \(-0.0186267\pi\)
−0.549793 + 0.835301i \(0.685293\pi\)
\(332\) 4.85047 2.15957i 0.266204 0.118522i
\(333\) 12.4608 26.8628i 0.682845 1.47207i
\(334\) −2.69873 + 2.99724i −0.147668 + 0.164002i
\(335\) −4.47539 6.15985i −0.244517 0.336548i
\(336\) −1.15799 4.43385i −0.0631737 0.241887i
\(337\) −22.8595 + 7.42750i −1.24524 + 0.404602i −0.856211 0.516626i \(-0.827188\pi\)
−0.389025 + 0.921227i \(0.627188\pi\)
\(338\) 32.2279 6.85024i 1.75296 0.372604i
\(339\) 0.265283 1.59510i 0.0144082 0.0866341i
\(340\) 7.38482 + 4.26363i 0.400498 + 0.231228i
\(341\) 27.3923 4.88830i 1.48338 0.264716i
\(342\) −1.29656 + 0.553431i −0.0701100 + 0.0299261i
\(343\) 0.0771276 + 18.5201i 0.00416450 + 0.999991i
\(344\) 3.36629 + 1.09377i 0.181498 + 0.0589724i
\(345\) −2.64362 + 0.686518i −0.142328 + 0.0369609i
\(346\) 2.28175 + 21.7094i 0.122668 + 1.16711i
\(347\) 0.799262 + 7.60447i 0.0429066 + 0.408229i 0.994804 + 0.101811i \(0.0324639\pi\)
−0.951897 + 0.306418i \(0.900869\pi\)
\(348\) 5.03422 1.30733i 0.269863 0.0700802i
\(349\) 28.8452 + 9.37239i 1.54405 + 0.501692i 0.952490 0.304569i \(-0.0985123\pi\)
0.591560 + 0.806261i \(0.298512\pi\)
\(350\) 1.32232 2.98111i 0.0706810 0.159347i
\(351\) −34.6514 6.31441i −1.84956 0.337038i
\(352\) 2.29899 2.39053i 0.122537 0.127416i
\(353\) −7.54247 4.35465i −0.401445 0.231774i 0.285662 0.958330i \(-0.407786\pi\)
−0.687107 + 0.726556i \(0.741120\pi\)
\(354\) −0.857173 + 5.15403i −0.0455582 + 0.273934i
\(355\) −27.0449 + 5.74858i −1.43540 + 0.305103i
\(356\) 13.1275 4.26538i 0.695756 0.226065i
\(357\) 14.3258 14.1454i 0.758201 0.748655i
\(358\) 1.70441 + 2.34592i 0.0900809 + 0.123986i
\(359\) −2.85484 + 3.17062i −0.150673 + 0.167339i −0.813756 0.581207i \(-0.802581\pi\)
0.663083 + 0.748546i \(0.269247\pi\)
\(360\) −5.28228 2.45027i −0.278401 0.129141i
\(361\) 17.1556 7.63818i 0.902928 0.402010i
\(362\) 6.26369 + 10.8490i 0.329212 + 0.570213i
\(363\) −6.26767 + 17.9921i −0.328967 + 0.944341i
\(364\) 5.51828 17.0641i 0.289237 0.894402i
\(365\) −12.3587 8.97913i −0.646884 0.469989i
\(366\) 3.23974 8.24882i 0.169344 0.431173i
\(367\) −23.0390 4.89710i −1.20263 0.255626i −0.437329 0.899302i \(-0.644075\pi\)
−0.765299 + 0.643675i \(0.777409\pi\)
\(368\) 0.807988 0.0849230i 0.0421193 0.00442692i
\(369\) 0.156918 10.1582i 0.00816885 0.528815i
\(370\) 18.2211 5.92040i 0.947270 0.307787i
\(371\) 8.97401 + 6.50098i 0.465907 + 0.337514i
\(372\) 5.10258 + 13.6058i 0.264557 + 0.705430i
\(373\) 32.4706 18.7469i 1.68127 0.970679i 0.720443 0.693514i \(-0.243938\pi\)
0.960822 0.277165i \(-0.0893949\pi\)
\(374\) 14.1453 + 3.49584i 0.731437 + 0.180766i
\(375\) −9.36810 18.7424i −0.483767 0.967852i
\(376\) −9.28600 0.975997i −0.478889 0.0503332i
\(377\) 19.3590 + 6.29011i 0.997037 + 0.323957i
\(378\) −8.88236 + 10.4930i −0.456860 + 0.539703i
\(379\) 11.0824 8.05180i 0.569262 0.413593i −0.265575 0.964090i \(-0.585562\pi\)
0.834837 + 0.550497i \(0.185562\pi\)
\(380\) −0.833233 0.370979i −0.0427439 0.0190308i
\(381\) −2.53743 + 2.49853i −0.129996 + 0.128004i
\(382\) 5.66614 5.10182i 0.289905 0.261032i
\(383\) −24.3664 2.56101i −1.24507 0.130862i −0.541016 0.841012i \(-0.681960\pi\)
−0.704050 + 0.710151i \(0.748627\pi\)
\(384\) 1.44529 + 0.954533i 0.0737547 + 0.0487108i
\(385\) −2.31217 + 16.8743i −0.117839 + 0.859994i
\(386\) 15.3741i 0.782521i
\(387\) −3.12495 10.1484i −0.158850 0.515870i
\(388\) −1.29207 1.43499i −0.0655947 0.0728503i
\(389\) −3.93745 + 18.5242i −0.199636 + 0.939215i 0.758227 + 0.651991i \(0.226066\pi\)
−0.957863 + 0.287225i \(0.907267\pi\)
\(390\) −12.2634 19.2072i −0.620984 0.972594i
\(391\) 2.09797 + 2.88761i 0.106099 + 0.146033i
\(392\) −4.69834 5.18899i −0.237302 0.262084i
\(393\) −8.32930 + 6.63908i −0.420158 + 0.334897i
\(394\) −0.339461 + 3.22976i −0.0171018 + 0.162713i
\(395\) 7.27957 12.6086i 0.366275 0.634407i
\(396\) −9.83363 1.51649i −0.494158 0.0762066i
\(397\) −4.75617 8.23792i −0.238705 0.413449i 0.721638 0.692271i \(-0.243390\pi\)
−0.960343 + 0.278821i \(0.910056\pi\)
\(398\) 13.7224 + 9.96992i 0.687843 + 0.499747i
\(399\) −1.36576 + 1.66489i −0.0683734 + 0.0833490i
\(400\) 0.380902 + 1.17230i 0.0190451 + 0.0586148i
\(401\) −12.1145 + 27.2097i −0.604972 + 1.35879i 0.308242 + 0.951308i \(0.400259\pi\)
−0.913214 + 0.407481i \(0.866407\pi\)
\(402\) 3.13127 6.02988i 0.156174 0.300743i
\(403\) −11.8237 + 55.6259i −0.588978 + 2.77092i
\(404\) −13.4349 + 2.85567i −0.668410 + 0.142075i
\(405\) 3.10245 + 17.1911i 0.154162 + 0.854230i
\(406\) 5.89688 5.32441i 0.292657 0.264246i
\(407\) 27.1028 18.3625i 1.34343 0.910196i
\(408\) −0.456920 + 7.59567i −0.0226209 + 0.376042i
\(409\) 4.81122 + 10.8062i 0.237899 + 0.534331i 0.992556 0.121789i \(-0.0388632\pi\)
−0.754657 + 0.656120i \(0.772196\pi\)
\(410\) 4.88473 4.39823i 0.241239 0.217213i
\(411\) 8.99148 + 34.6241i 0.443517 + 1.70788i
\(412\) −1.66105 + 1.20683i −0.0818343 + 0.0594561i
\(413\) 2.47682 + 7.58700i 0.121876 + 0.373332i
\(414\) −1.60271 1.83625i −0.0787690 0.0902469i
\(415\) −2.14265 10.0804i −0.105179 0.494827i
\(416\) 2.75706 + 6.19245i 0.135176 + 0.303610i
\(417\) −2.96134 5.92462i −0.145017 0.290130i
\(418\) −1.54380 0.213720i −0.0755097 0.0104534i
\(419\) 13.8394i 0.676097i 0.941129 + 0.338049i \(0.109767\pi\)
−0.941129 + 0.338049i \(0.890233\pi\)
\(420\) −8.88524 + 0.409231i −0.433555 + 0.0199684i
\(421\) −5.19198 + 15.9793i −0.253042 + 0.778783i 0.741167 + 0.671320i \(0.234273\pi\)
−0.994209 + 0.107462i \(0.965727\pi\)
\(422\) −4.75241 4.27909i −0.231344 0.208303i
\(423\) 13.6294 + 24.4720i 0.662682 + 1.18987i
\(424\) −4.16540 + 0.437801i −0.202290 + 0.0212615i
\(425\) −3.62353 + 4.02433i −0.175767 + 0.195209i
\(426\) −15.3787 19.2939i −0.745100 0.934792i
\(427\) −1.43372 13.4611i −0.0693824 0.651430i
\(428\) 1.33045 0.0643096
\(429\) −29.2429 25.7125i −1.41186 1.24141i
\(430\) 3.43506 5.94971i 0.165653 0.286920i
\(431\) 20.6548 9.19613i 0.994909 0.442962i 0.156308 0.987708i \(-0.450041\pi\)
0.838601 + 0.544746i \(0.183374\pi\)
\(432\) −0.151657 5.19394i −0.00729660 0.249893i
\(433\) 2.97814 + 9.16578i 0.143120 + 0.440479i 0.996764 0.0803776i \(-0.0256126\pi\)
−0.853644 + 0.520857i \(0.825613\pi\)
\(434\) 16.5160 + 14.8296i 0.792793 + 0.711844i
\(435\) −0.450476 10.0853i −0.0215987 0.483555i
\(436\) −13.2319 11.9140i −0.633692 0.570579i
\(437\) −0.255457 0.283714i −0.0122202 0.0135719i
\(438\) 2.23642 13.4472i 0.106860 0.642532i
\(439\) 32.3764 18.6925i 1.54524 0.892145i 0.546745 0.837299i \(-0.315867\pi\)
0.998495 0.0548453i \(-0.0174666\pi\)
\(440\) −3.61079 5.32947i −0.172138 0.254073i
\(441\) −4.62604 + 20.4841i −0.220288 + 0.975435i
\(442\) −17.5041 + 24.0924i −0.832587 + 1.14596i
\(443\) 5.00874 + 23.5643i 0.237973 + 1.11957i 0.921116 + 0.389289i \(0.127279\pi\)
−0.683143 + 0.730284i \(0.739388\pi\)
\(444\) 11.9954 + 12.1821i 0.569276 + 0.578138i
\(445\) −2.80046 26.6446i −0.132755 1.26308i
\(446\) 12.7494 + 5.67640i 0.603701 + 0.268785i
\(447\) −8.96624 + 32.4577i −0.424089 + 1.53519i
\(448\) 2.63164 + 0.272903i 0.124333 + 0.0128935i
\(449\) 6.31116 8.68657i 0.297842 0.409944i −0.633700 0.773579i \(-0.718464\pi\)
0.931542 + 0.363635i \(0.118464\pi\)
\(450\) 2.21950 2.95771i 0.104628 0.139428i
\(451\) 5.93221 9.53724i 0.279337 0.449091i
\(452\) 0.808506 + 0.466791i 0.0380289 + 0.0219560i
\(453\) 2.79032 + 2.29546i 0.131101 + 0.107850i
\(454\) 3.10704 9.56249i 0.145821 0.448790i
\(455\) −30.1703 17.3630i −1.41440 0.813991i
\(456\) −0.0363183 0.813101i −0.00170076 0.0380770i
\(457\) −4.38249 + 9.84323i −0.205004 + 0.460447i −0.986562 0.163386i \(-0.947759\pi\)
0.781558 + 0.623832i \(0.214425\pi\)
\(458\) 17.7321 + 3.76907i 0.828566 + 0.176117i
\(459\) 19.4282 11.9862i 0.906833 0.559470i
\(460\) 0.164833 1.56828i 0.00768539 0.0731216i
\(461\) −15.8811 −0.739657 −0.369829 0.929100i \(-0.620584\pi\)
−0.369829 + 0.929100i \(0.620584\pi\)
\(462\) −14.3916 + 4.88677i −0.669560 + 0.227353i
\(463\) −13.2254 −0.614637 −0.307318 0.951607i \(-0.599432\pi\)
−0.307318 + 0.951607i \(0.599432\pi\)
\(464\) −0.313890 + 2.98647i −0.0145720 + 0.138643i
\(465\) 27.8906 4.19690i 1.29340 0.194627i
\(466\) −1.81947 0.386741i −0.0842854 0.0179154i
\(467\) −11.3821 + 25.5646i −0.526701 + 1.18299i 0.432853 + 0.901464i \(0.357507\pi\)
−0.959554 + 0.281525i \(0.909160\pi\)
\(468\) 10.4385 17.4519i 0.482521 0.806713i
\(469\) −0.0144074 10.3787i −0.000665270 0.479242i
\(470\) −5.60036 + 17.2361i −0.258325 + 0.795044i
\(471\) 0.200435 0.243645i 0.00923555 0.0112265i
\(472\) −2.61241 1.50828i −0.120246 0.0694241i
\(473\) 2.81649 11.3964i 0.129502 0.524008i
\(474\) 12.9686 + 0.780130i 0.595667 + 0.0358326i
\(475\) 0.340460 0.468603i 0.0156214 0.0215010i
\(476\) 4.74246 + 10.6121i 0.217370 + 0.486403i
\(477\) 8.26242 + 9.46639i 0.378310 + 0.433436i
\(478\) −1.83382 0.816468i −0.0838768 0.0373444i
\(479\) −1.59293 15.1557i −0.0727827 0.692481i −0.968696 0.248251i \(-0.920144\pi\)
0.895913 0.444230i \(-0.146523\pi\)
\(480\) 2.39548 2.35877i 0.109338 0.107662i
\(481\) 13.9111 + 65.4464i 0.634290 + 2.98410i
\(482\) 6.98165 9.60941i 0.318005 0.437697i
\(483\) −3.46726 1.35622i −0.157766 0.0617101i
\(484\) −8.45559 7.03584i −0.384345 0.319811i
\(485\) −3.24582 + 1.87397i −0.147385 + 0.0850928i
\(486\) −12.4842 + 9.33513i −0.566295 + 0.423450i
\(487\) −6.65399 7.39000i −0.301521 0.334873i 0.573276 0.819362i \(-0.305672\pi\)
−0.874797 + 0.484489i \(0.839006\pi\)
\(488\) 3.80238 + 3.42368i 0.172126 + 0.154983i
\(489\) −36.6737 + 1.63808i −1.65844 + 0.0740767i
\(490\) −11.7476 + 6.82605i −0.530703 + 0.308369i
\(491\) 1.60842 + 4.95021i 0.0725870 + 0.223400i 0.980768 0.195178i \(-0.0625286\pi\)
−0.908181 + 0.418578i \(0.862529\pi\)
\(492\) 5.45956 + 2.14425i 0.246136 + 0.0966702i
\(493\) −12.0521 + 5.36595i −0.542800 + 0.241670i
\(494\) 1.59265 2.75854i 0.0716565 0.124113i
\(495\) −6.84752 + 18.0577i −0.307773 + 0.811635i
\(496\) −8.38958 −0.376703
\(497\) −34.4516 15.2816i −1.54536 0.685472i
\(498\) 7.19136 5.73206i 0.322253 0.256860i
\(499\) −7.12044 + 7.90805i −0.318755 + 0.354013i −0.881134 0.472866i \(-0.843219\pi\)
0.562379 + 0.826879i \(0.309886\pi\)
\(500\) 12.0311 1.26452i 0.538046 0.0565510i
\(501\) −3.21941 + 6.19962i −0.143833 + 0.276978i
\(502\) −8.65484 7.79285i −0.386284 0.347812i
\(503\) 13.3840 41.1917i 0.596763 1.83665i 0.0510144 0.998698i \(-0.483755\pi\)
0.545748 0.837949i \(-0.316245\pi\)
\(504\) −3.87160 6.92897i −0.172455 0.308641i
\(505\) 26.6593i 1.18632i
\(506\) −0.473378 2.65265i −0.0210442 0.117925i
\(507\) 51.0459 25.5146i 2.26703 1.13314i
\(508\) −0.836244 1.87824i −0.0371023 0.0833332i
\(509\) −8.77384 41.2777i −0.388894 1.82960i −0.540731 0.841196i \(-0.681852\pi\)
0.151837 0.988406i \(-0.451481\pi\)
\(510\) 14.2364 + 3.93273i 0.630400 + 0.174144i
\(511\) −6.46217 19.7950i −0.285870 0.875678i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) −1.93268 + 1.49226i −0.0853297 + 0.0658849i
\(514\) 18.0708 16.2710i 0.797067 0.717683i
\(515\) 1.62091 + 3.64062i 0.0714258 + 0.160425i
\(516\) 6.11958 + 0.368126i 0.269399 + 0.0162058i
\(517\) −1.01691 + 30.9511i −0.0447237 + 1.36123i
\(518\) 24.8485 + 8.03564i 1.09178 + 0.353066i
\(519\) 13.2765 + 35.4013i 0.582774 + 1.55394i
\(520\) 12.8693 2.73546i 0.564358 0.119958i
\(521\) −6.16082 + 28.9844i −0.269910 + 1.26983i 0.609126 + 0.793073i \(0.291520\pi\)
−0.879036 + 0.476755i \(0.841813\pi\)
\(522\) 7.87045 4.38333i 0.344480 0.191853i
\(523\) 7.42212 16.6703i 0.324546 0.728943i −0.675417 0.737436i \(-0.736037\pi\)
0.999964 + 0.00849224i \(0.00270320\pi\)
\(524\) −1.90035 5.84867i −0.0830170 0.255500i
\(525\) 0.918960 5.57334i 0.0401067 0.243241i
\(526\) −24.6396 17.9017i −1.07434 0.780552i
\(527\) −18.4289 31.9198i −0.802776 1.39045i
\(528\) 2.81341 5.00846i 0.122438 0.217965i
\(529\) −11.1700 + 19.3470i −0.485651 + 0.841172i
\(530\) −0.849760 + 8.08493i −0.0369112 + 0.351187i
\(531\) 0.806823 + 9.01363i 0.0350131 + 0.391158i
\(532\) −0.623130 1.07584i −0.0270161 0.0466436i
\(533\) 13.4927 + 18.5711i 0.584433 + 0.804403i
\(534\) 20.1506 12.8658i 0.872001 0.556757i
\(535\) 0.536903 2.52593i 0.0232123 0.109205i
\(536\) 2.62484 + 2.91519i 0.113376 + 0.125917i
\(537\) 3.87866 + 3.19079i 0.167376 + 0.137693i
\(538\) 8.71358i 0.375669i
\(539\) −16.0464 + 16.7783i −0.691169 + 0.722693i
\(540\) −9.92219 1.80809i −0.426983 0.0778078i
\(541\) −10.5147 1.10514i −0.452062 0.0475136i −0.124238 0.992252i \(-0.539649\pi\)
−0.327824 + 0.944739i \(0.606315\pi\)
\(542\) −14.6677 + 13.2068i −0.630031 + 0.567282i
\(543\) 15.2239 + 15.4609i 0.653320 + 0.663490i
\(544\) −4.01347 1.78691i −0.172076 0.0766132i
\(545\) −27.9592 + 20.3136i −1.19764 + 0.870138i
\(546\) 1.82219 31.0094i 0.0779823 1.32708i
\(547\) 0.752165 + 0.244393i 0.0321603 + 0.0104495i 0.325053 0.945696i \(-0.394618\pi\)
−0.292893 + 0.956145i \(0.594618\pi\)
\(548\) −20.5401 2.15886i −0.877431 0.0922217i
\(549\) 1.84009 15.2391i 0.0785331 0.650390i
\(550\) 3.78730 1.53927i 0.161491 0.0656345i
\(551\) 1.22205 0.705554i 0.0520613 0.0300576i
\(552\) 1.31758 0.494129i 0.0560798 0.0210315i
\(553\) 18.1187 8.09711i 0.770485 0.344324i
\(554\) 8.54602 2.77677i 0.363086 0.117974i
\(555\) 27.9692 17.8578i 1.18723 0.758023i
\(556\) 3.80313 0.399725i 0.161289 0.0169521i
\(557\) 12.0218 + 2.55532i 0.509382 + 0.108272i 0.455431 0.890271i \(-0.349485\pi\)
0.0539510 + 0.998544i \(0.482819\pi\)
\(558\) 14.4775 + 20.5880i 0.612883 + 0.871560i
\(559\) 19.4104 + 14.1025i 0.820975 + 0.596473i
\(560\) 1.58012 4.88619i 0.0667724 0.206479i
\(561\) 25.2358 0.297623i 1.06545 0.0125657i
\(562\) −0.178016 0.308333i −0.00750915 0.0130062i
\(563\) 30.9200 13.7665i 1.30312 0.580188i 0.366465 0.930432i \(-0.380568\pi\)
0.936658 + 0.350244i \(0.113901\pi\)
\(564\) −15.9924 + 2.40648i −0.673400 + 0.101331i
\(565\) 1.21250 1.34662i 0.0510104 0.0566528i
\(566\) 8.29460 + 11.4165i 0.348648 + 0.479873i
\(567\) −10.3226 + 21.4579i −0.433509 + 0.901149i
\(568\) 13.5478 4.40194i 0.568452 0.184701i
\(569\) 14.2558 3.03017i 0.597636 0.127031i 0.100846 0.994902i \(-0.467845\pi\)
0.496790 + 0.867871i \(0.334512\pi\)
\(570\) −1.55838 0.259175i −0.0652732 0.0108557i
\(571\) −34.2234 19.7589i −1.43220 0.826884i −0.434916 0.900471i \(-0.643222\pi\)
−0.997289 + 0.0735875i \(0.976555\pi\)
\(572\) 19.8283 10.5954i 0.829064 0.443018i
\(573\) 7.27788 11.0197i 0.304038 0.460354i
\(574\) 8.90937 0.948918i 0.371870 0.0396071i
\(575\) 0.952419 + 0.309460i 0.0397186 + 0.0129054i
\(576\) 2.83851 + 0.971009i 0.118271 + 0.0404587i
\(577\) 1.80520 + 17.1754i 0.0751516 + 0.715020i 0.965617 + 0.259969i \(0.0837123\pi\)
−0.890465 + 0.455051i \(0.849621\pi\)
\(578\) −0.240519 2.28838i −0.0100043 0.0951842i
\(579\) −6.69317 25.7738i −0.278159 1.07112i
\(580\) 5.54331 + 1.80113i 0.230173 + 0.0747878i
\(581\) 5.69586 12.8410i 0.236304 0.532736i
\(582\) −2.79080 1.84317i −0.115683 0.0764018i
\(583\) 2.44039 + 13.6751i 0.101071 + 0.566366i
\(584\) 6.81595 + 3.93519i 0.282046 + 0.162839i
\(585\) −28.9209 26.8609i −1.19573 1.11056i
\(586\) −3.74492 + 0.796008i −0.154701 + 0.0328828i
\(587\) 18.9588 6.16010i 0.782515 0.254254i 0.109601 0.993976i \(-0.465043\pi\)
0.672913 + 0.739721i \(0.265043\pi\)
\(588\) −10.1356 6.65362i −0.417983 0.274391i
\(589\) 2.31726 + 3.18944i 0.0954812 + 0.131419i
\(590\) −3.91779 + 4.35115i −0.161293 + 0.179134i
\(591\) 0.836998 + 5.56229i 0.0344295 + 0.228802i
\(592\) −9.01735 + 4.01478i −0.370611 + 0.165007i
\(593\) 1.59393 + 2.76077i 0.0654548 + 0.113371i 0.896896 0.442242i \(-0.145817\pi\)
−0.831441 + 0.555613i \(0.812484\pi\)
\(594\) −17.1457 + 1.73879i −0.703498 + 0.0713433i
\(595\) 22.0614 4.72132i 0.904431 0.193555i
\(596\) −15.7283 11.4273i −0.644258 0.468081i
\(597\) 27.3453 + 10.7399i 1.11917 + 0.439556i
\(598\) 5.38676 + 1.14499i 0.220281 + 0.0468222i
\(599\) −9.01011 + 0.947001i −0.368143 + 0.0386934i −0.286794 0.957992i \(-0.592590\pi\)
−0.0813491 + 0.996686i \(0.525923\pi\)
\(600\) 1.14892 + 1.79946i 0.0469046 + 0.0734627i
\(601\) 15.0502 4.89011i 0.613911 0.199472i 0.0144763 0.999895i \(-0.495392\pi\)
0.599435 + 0.800423i \(0.295392\pi\)
\(602\) 8.54979 3.82084i 0.348464 0.155726i
\(603\) 2.62427 11.4720i 0.106869 0.467175i
\(604\) −1.80659 + 1.04303i −0.0735089 + 0.0424404i
\(605\) −16.7702 + 13.2141i −0.681806 + 0.537230i
\(606\) −21.2796 + 10.6363i −0.864424 + 0.432070i
\(607\) 14.1677 + 1.48909i 0.575051 + 0.0604403i 0.387590 0.921832i \(-0.373308\pi\)
0.187461 + 0.982272i \(0.439974\pi\)
\(608\) 0.446913 + 0.145211i 0.0181247 + 0.00588908i
\(609\) 7.56779 11.4933i 0.306662 0.465732i
\(610\) 8.03450 5.83741i 0.325307 0.236350i
\(611\) −57.8198 25.7431i −2.33914 1.04145i
\(612\) 2.54080 + 12.9326i 0.102706 + 0.522771i
\(613\) −15.7474 + 14.1790i −0.636031 + 0.572685i −0.922783 0.385320i \(-0.874091\pi\)
0.286752 + 0.958005i \(0.407424\pi\)
\(614\) −17.2612 1.81423i −0.696607 0.0732163i
\(615\) 6.27419 9.49997i 0.253000 0.383076i
\(616\) 0.275975 8.77062i 0.0111193 0.353378i
\(617\) 33.0511i 1.33059i −0.746582 0.665293i \(-0.768307\pi\)
0.746582 0.665293i \(-0.231693\pi\)
\(618\) −2.25927 + 2.74632i −0.0908811 + 0.110473i
\(619\) −5.32475 5.91374i −0.214020 0.237693i 0.626570 0.779365i \(-0.284458\pi\)
−0.840590 + 0.541672i \(0.817792\pi\)
\(620\) −3.38562 + 15.9281i −0.135970 + 0.639688i
\(621\) −3.48628 2.38063i −0.139900 0.0955314i
\(622\) 14.6484 + 20.1617i 0.587346 + 0.808413i
\(623\) 18.2158 31.6521i 0.729802 1.26812i
\(624\) 7.31796 + 9.18101i 0.292953 + 0.367535i
\(625\) 1.81017 17.2226i 0.0724069 0.688906i
\(626\) 13.5849 23.5298i 0.542964 0.940441i
\(627\) −2.68114 + 0.313809i −0.107074 + 0.0125323i
\(628\) 0.0910754 + 0.157747i 0.00363430 + 0.00629480i
\(629\) −35.0830 25.4893i −1.39885 1.01632i
\(630\) −14.7174 + 4.55427i −0.586357 + 0.181447i
\(631\) −4.27302 13.1510i −0.170106 0.523533i 0.829270 0.558848i \(-0.188757\pi\)
−0.999376 + 0.0353151i \(0.988757\pi\)
\(632\) −3.05091 + 6.85246i −0.121359 + 0.272576i
\(633\) −9.83007 5.10468i −0.390710 0.202893i
\(634\) 0.0576347 0.271150i 0.00228897 0.0107687i
\(635\) −3.90341 + 0.829694i −0.154902 + 0.0329254i
\(636\) −6.79247 + 2.54737i −0.269339 + 0.101010i
\(637\) −19.4197 43.2934i −0.769436 1.71535i
\(638\) 9.95417 + 0.327049i 0.394090 + 0.0129480i
\(639\) −34.1812 25.6500i −1.35219 1.01470i
\(640\) 0.789465 + 1.77317i 0.0312063 + 0.0700906i
\(641\) −21.1257 + 19.0216i −0.834413 + 0.751309i −0.970939 0.239327i \(-0.923073\pi\)
0.136526 + 0.990637i \(0.456406\pi\)
\(642\) 2.23042 0.579215i 0.0880277 0.0228598i
\(643\) 8.11733 5.89759i 0.320116 0.232578i −0.416109 0.909315i \(-0.636606\pi\)
0.736225 + 0.676737i \(0.236606\pi\)
\(644\) 1.43608 1.59939i 0.0565897 0.0630249i
\(645\) 3.16847 11.4698i 0.124758 0.451624i
\(646\) 0.429225 + 2.01935i 0.0168876 + 0.0794501i
\(647\) 14.1754 + 31.8384i 0.557291 + 1.25170i 0.944137 + 0.329552i \(0.106898\pi\)
−0.386846 + 0.922144i \(0.626436\pi\)
\(648\) −2.51544 8.64133i −0.0988160 0.339463i
\(649\) −4.36725 + 9.00127i −0.171429 + 0.353331i
\(650\) 8.35533i 0.327723i
\(651\) 34.1443 + 17.6707i 1.33822 + 0.692570i
\(652\) 6.54952 20.1573i 0.256499 0.789422i
\(653\) −0.787802 0.709340i −0.0308291 0.0277586i 0.653572 0.756864i \(-0.273270\pi\)
−0.684401 + 0.729106i \(0.739936\pi\)
\(654\) −27.3693 14.2127i −1.07023 0.555760i
\(655\) −11.8709 + 1.24768i −0.463835 + 0.0487510i
\(656\) −2.26599 + 2.51664i −0.0884721 + 0.0982582i
\(657\) −2.10505 23.5171i −0.0821259 0.917491i
\(658\) −19.9656 + 14.5482i −0.778340 + 0.567149i
\(659\) 14.3495 0.558978 0.279489 0.960149i \(-0.409835\pi\)
0.279489 + 0.960149i \(0.409835\pi\)
\(660\) −8.37350 7.36260i −0.325938 0.286589i
\(661\) −17.4838 + 30.2828i −0.680041 + 1.17786i 0.294927 + 0.955520i \(0.404705\pi\)
−0.974968 + 0.222345i \(0.928629\pi\)
\(662\) −14.9084 + 6.63767i −0.579433 + 0.257980i
\(663\) −18.8560 + 48.0101i −0.732308 + 1.86456i
\(664\) 1.64072 + 5.04963i 0.0636725 + 0.195964i
\(665\) −2.29401 + 0.748891i −0.0889579 + 0.0290408i
\(666\) 25.4131 + 15.2004i 0.984739 + 0.589004i
\(667\) 1.81304 + 1.63247i 0.0702012 + 0.0632094i
\(668\) −2.69873 2.99724i −0.104417 0.115967i
\(669\) 23.8449 + 3.96567i 0.921897 + 0.153322i
\(670\) 6.59391 3.80699i 0.254745 0.147077i
\(671\) 10.4201 13.3940i 0.402263 0.517068i
\(672\) 4.53061 0.688186i 0.174772 0.0265473i
\(673\) 4.54195 6.25146i 0.175079 0.240976i −0.712455 0.701718i \(-0.752417\pi\)
0.887534 + 0.460742i \(0.152417\pi\)
\(674\) −4.99734 23.5107i −0.192490 0.905597i
\(675\) 2.43323 5.92471i 0.0936549 0.228042i
\(676\) 3.44399 + 32.7674i 0.132461 + 1.26028i
\(677\) −10.1920 4.53779i −0.391712 0.174401i 0.201423 0.979504i \(-0.435443\pi\)
−0.593135 + 0.805103i \(0.702110\pi\)
\(678\) 1.55863 + 0.430564i 0.0598590 + 0.0165357i
\(679\) −5.08160 0.526966i −0.195014 0.0202231i
\(680\) −5.01219 + 6.89869i −0.192209 + 0.264553i
\(681\) 1.04572 17.3837i 0.0400721 0.666143i
\(682\) 1.99824 + 27.7532i 0.0765165 + 1.06273i
\(683\) −17.1776 9.91747i −0.657281 0.379481i 0.133959 0.990987i \(-0.457231\pi\)
−0.791240 + 0.611505i \(0.790564\pi\)
\(684\) −0.414872 1.34731i −0.0158630 0.0515156i
\(685\) −12.3877 + 38.1254i −0.473310 + 1.45670i
\(686\) −18.4267 1.85917i −0.703535 0.0709835i
\(687\) 31.3678 1.40109i 1.19675 0.0534548i
\(688\) −1.43966 + 3.23352i −0.0548864 + 0.123277i
\(689\) −27.7702 5.90274i −1.05796 0.224877i
\(690\) −0.406424 2.70090i −0.0154723 0.102822i
\(691\) 3.79008 36.0602i 0.144181 1.37179i −0.648061 0.761588i \(-0.724420\pi\)
0.792243 0.610206i \(-0.208913\pi\)
\(692\) −21.8290 −0.829815
\(693\) −21.9993 + 14.4579i −0.835685 + 0.549209i
\(694\) −7.64636 −0.290252
\(695\) 0.775855 7.38177i 0.0294299 0.280006i
\(696\) 0.773949 + 5.14330i 0.0293364 + 0.194956i
\(697\) −14.5526 3.09326i −0.551220 0.117165i
\(698\) −12.3362 + 27.7075i −0.466932 + 1.04875i
\(699\) −3.21861 + 0.143764i −0.121739 + 0.00543765i
\(700\) 2.82656 + 1.62669i 0.106834 + 0.0614830i
\(701\) −13.5723 + 41.7711i −0.512617 + 1.57767i 0.274959 + 0.961456i \(0.411336\pi\)
−0.787576 + 0.616217i \(0.788664\pi\)
\(702\) 9.90188 33.8015i 0.373722 1.27576i
\(703\) 4.01695 + 2.31919i 0.151502 + 0.0874698i
\(704\) 2.13712 + 2.53628i 0.0805458 + 0.0955896i
\(705\) −1.88488 + 31.3336i −0.0709888 + 1.18009i
\(706\) 5.11919 7.04597i 0.192663 0.265178i
\(707\) −21.3189 + 29.4288i −0.801781 + 1.10679i
\(708\) −5.03620 1.39122i −0.189272 0.0522853i
\(709\) 9.34571 + 4.16098i 0.350985 + 0.156269i 0.574654 0.818396i \(-0.305137\pi\)
−0.223669 + 0.974665i \(0.571803\pi\)
\(710\) −2.89012 27.4977i −0.108464 1.03197i
\(711\) 22.0807 4.33807i 0.828093 0.162690i
\(712\) 2.86982 + 13.5014i 0.107551 + 0.505988i
\(713\) −4.00636 + 5.51428i −0.150039 + 0.206511i
\(714\) 12.5705 + 15.7259i 0.470438 + 0.588527i
\(715\) −12.1143 41.9210i −0.453050 1.56776i
\(716\) −2.51123 + 1.44986i −0.0938490 + 0.0541838i
\(717\) −3.42974 0.570405i −0.128086 0.0213022i
\(718\) −2.85484 3.17062i −0.106542 0.118327i
\(719\) 7.48582 + 6.74026i 0.279174 + 0.251369i 0.796808 0.604233i \(-0.206520\pi\)
−0.517634 + 0.855602i \(0.673187\pi\)
\(720\) 2.98900 4.99722i 0.111393 0.186236i
\(721\) −1.12204 + 5.31505i −0.0417869 + 0.197943i
\(722\) 5.80309 + 17.8601i 0.215969 + 0.664683i
\(723\) 7.52086 19.1491i 0.279704 0.712164i
\(724\) −11.4443 + 5.09535i −0.425325 + 0.189367i
\(725\) −1.85073 + 3.20557i −0.0687345 + 0.119052i
\(726\) −17.2384 8.11402i −0.639777 0.301140i
\(727\) −18.1263 −0.672267 −0.336134 0.941814i \(-0.609119\pi\)
−0.336134 + 0.941814i \(0.609119\pi\)
\(728\) 16.3938 + 7.27174i 0.607595 + 0.269509i
\(729\) −16.8650 + 21.0849i −0.624630 + 0.780921i
\(730\) 10.2218 11.3524i 0.378325 0.420172i
\(731\) −15.4650 + 1.62544i −0.571993 + 0.0601189i
\(732\) 7.86499 + 4.08423i 0.290698 + 0.150957i
\(733\) −26.3979 23.7688i −0.975029 0.877920i 0.0175098 0.999847i \(-0.494426\pi\)
−0.992539 + 0.121926i \(0.961093\pi\)
\(734\) 7.27850 22.4009i 0.268654 0.826834i
\(735\) −16.7225 + 16.5579i −0.616818 + 0.610746i
\(736\) 0.812439i 0.0299469i
\(737\) 9.01842 9.37749i 0.332198 0.345424i
\(738\) 10.0861 + 1.21788i 0.371276 + 0.0448308i
\(739\) −1.75174 3.93447i −0.0644387 0.144732i 0.878455 0.477824i \(-0.158574\pi\)
−0.942894 + 0.333093i \(0.891908\pi\)
\(740\) 3.98334 + 18.7401i 0.146430 + 0.688901i
\(741\) 1.46904 5.31791i 0.0539666 0.195358i
\(742\) −7.40341 + 8.24531i −0.271788 + 0.302695i
\(743\) −36.8659 + 26.7846i −1.35248 + 0.982632i −0.353594 + 0.935399i \(0.615040\pi\)
−0.998884 + 0.0472334i \(0.984960\pi\)
\(744\) −14.0647 + 3.65243i −0.515636 + 0.133905i
\(745\) −28.0426 + 25.2497i −1.02740 + 0.925076i
\(746\) 15.2501 + 34.2523i 0.558347 + 1.25407i
\(747\) 9.56045 12.7403i 0.349799 0.466142i
\(748\) −4.95528 + 13.7024i −0.181183 + 0.501010i
\(749\) 2.61262 2.35899i 0.0954631 0.0861956i
\(750\) 19.6189 7.35767i 0.716382 0.268664i
\(751\) −0.205029 + 0.0435803i −0.00748163 + 0.00159027i −0.211651 0.977345i \(-0.567884\pi\)
0.204169 + 0.978936i \(0.434551\pi\)
\(752\) 1.94130 9.13311i 0.0707920 0.333050i
\(753\) −17.9020 9.29637i −0.652385 0.338779i
\(754\) −8.27921 + 18.5954i −0.301511 + 0.677205i
\(755\) 1.25121 + 3.85082i 0.0455361 + 0.140146i
\(756\) −9.50708 9.93053i −0.345769 0.361170i
\(757\) 7.94575 + 5.77293i 0.288793 + 0.209821i 0.722744 0.691116i \(-0.242881\pi\)
−0.433950 + 0.900937i \(0.642881\pi\)
\(758\) 6.84927 + 11.8633i 0.248777 + 0.430894i
\(759\) −1.94843 4.24093i −0.0707236 0.153936i
\(760\) 0.456043 0.789890i 0.0165424 0.0286523i
\(761\) −1.63467 + 15.5529i −0.0592568 + 0.563791i 0.924106 + 0.382137i \(0.124812\pi\)
−0.983363 + 0.181654i \(0.941855\pi\)
\(762\) −2.21961 2.78470i −0.0804081 0.100879i
\(763\) −47.1082 + 0.0653943i −1.70543 + 0.00236743i
\(764\) 4.48159 + 6.16839i 0.162138 + 0.223164i
\(765\) 25.5787 + 0.395126i 0.924800 + 0.0142858i
\(766\) 5.09397 23.9652i 0.184052 0.865899i
\(767\) −13.6822 15.1956i −0.494034 0.548681i
\(768\) −1.10038 + 1.33760i −0.0397065 + 0.0482664i
\(769\) 8.36702i 0.301722i −0.988555 0.150861i \(-0.951795\pi\)
0.988555 0.150861i \(-0.0482047\pi\)
\(770\) −16.5402 4.06335i −0.596066 0.146433i
\(771\) 23.2110 35.1446i 0.835924 1.26570i
\(772\) 15.2899 + 1.60703i 0.550295 + 0.0578383i