Properties

Label 483.2.r.a.412.3
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.3
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.07156 - 1.33131i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(1.68815 + 3.69653i) q^{4} +(3.92324 + 1.15197i) q^{5} +(2.23994 + 1.02295i) q^{6} +(1.23729 - 2.33861i) q^{7} +(0.723239 - 5.03024i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(-2.07156 - 1.33131i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(1.68815 + 3.69653i) q^{4} +(3.92324 + 1.15197i) q^{5} +(2.23994 + 1.02295i) q^{6} +(1.23729 - 2.33861i) q^{7} +(0.723239 - 5.03024i) q^{8} +(0.959493 - 0.281733i) q^{9} +(-6.59362 - 7.60944i) q^{10} +(1.89212 + 2.94419i) q^{11} +(-2.19704 - 3.41866i) q^{12} +(0.793257 - 0.687361i) q^{13} +(-5.67655 + 3.19736i) q^{14} +(-4.04725 - 0.581907i) q^{15} +(-2.87265 + 3.31522i) q^{16} +(-2.66454 + 5.83452i) q^{17} +(-2.36272 - 0.693758i) q^{18} +(0.346361 + 0.758424i) q^{19} +(2.36473 + 16.4471i) q^{20} +(-0.891879 + 2.49089i) q^{21} -8.61807i q^{22} +(4.30464 - 2.11425i) q^{23} +5.08197i q^{24} +(9.85854 + 6.33570i) q^{25} +(-2.55837 + 0.367839i) q^{26} +(-0.909632 + 0.415415i) q^{27} +(10.7335 + 0.625763i) q^{28} +(-2.92092 + 6.39592i) q^{29} +(7.60944 + 6.59362i) q^{30} +(-8.75171 - 1.25831i) q^{31} +(0.612256 - 0.179774i) q^{32} +(-2.29186 - 2.64495i) q^{33} +(13.2873 - 8.53925i) q^{34} +(7.54821 - 7.74962i) q^{35} +(2.66120 + 3.07119i) q^{36} +(-0.804448 - 2.73970i) q^{37} +(0.292192 - 2.03224i) q^{38} +(-0.687361 + 0.793257i) q^{39} +(8.63212 - 18.9017i) q^{40} +(-1.15572 + 3.93602i) q^{41} +(5.16374 - 3.97267i) q^{42} +(9.48236 - 1.36336i) q^{43} +(-7.68912 + 11.9645i) q^{44} +4.08887 q^{45} +(-11.7321 - 1.35101i) q^{46} -7.61974i q^{47} +(2.37161 - 3.69030i) q^{48} +(-3.93822 - 5.78709i) q^{49} +(-11.9878 - 26.2496i) q^{50} +(1.80708 - 6.15434i) q^{51} +(3.87999 + 1.77193i) q^{52} +(-0.894616 - 0.775190i) q^{53} +(2.43741 + 0.350446i) q^{54} +(4.03162 + 13.7304i) q^{55} +(-10.8689 - 7.91525i) q^{56} +(-0.450770 - 0.701412i) q^{57} +(14.5658 - 9.36089i) q^{58} +(6.11750 - 5.30085i) q^{59} +(-4.68133 - 15.9431i) q^{60} +(-0.390573 + 2.71650i) q^{61} +(16.4545 + 14.2579i) q^{62} +(0.528310 - 2.59247i) q^{63} +(6.91028 + 2.02904i) q^{64} +(3.90396 - 1.78288i) q^{65} +(1.22648 + 8.53035i) q^{66} +(3.02175 - 4.70194i) q^{67} -26.0656 q^{68} +(-3.95994 + 2.70535i) q^{69} +(-25.9538 + 6.00481i) q^{70} +(11.9080 + 7.65284i) q^{71} +(-0.723239 - 5.03024i) q^{72} +(2.76674 - 1.26353i) q^{73} +(-1.98093 + 6.74643i) q^{74} +(-10.6599 - 4.86820i) q^{75} +(-2.21883 + 2.56067i) q^{76} +(9.22642 - 0.782102i) q^{77} +(2.47998 - 0.728189i) q^{78} +(-2.98192 + 2.58385i) q^{79} +(-15.0891 + 9.69721i) q^{80} +(0.841254 - 0.540641i) q^{81} +(7.63422 - 6.61509i) q^{82} +(-3.67625 + 1.07944i) q^{83} +(-10.7133 + 0.908141i) q^{84} +(-17.1748 + 19.8208i) q^{85} +(-21.4584 - 9.79971i) q^{86} +(1.98095 - 6.74651i) q^{87} +(16.1784 - 7.38844i) q^{88} +(0.689807 + 4.79771i) q^{89} +(-8.47035 - 5.44357i) q^{90} +(-0.625980 - 2.70559i) q^{91} +(15.0823 + 12.3431i) q^{92} +8.84170 q^{93} +(-10.1443 + 15.7848i) q^{94} +(0.485177 + 3.37448i) q^{95} +(-0.580439 + 0.265078i) q^{96} +(-3.41254 - 1.00201i) q^{97} +(0.453830 + 17.2313i) q^{98} +(2.64495 + 2.29186i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.07156 1.33131i −1.46482 0.941380i −0.998384 0.0568231i \(-0.981903\pi\)
−0.466432 0.884557i \(-0.654461\pi\)
\(3\) −0.989821 + 0.142315i −0.571474 + 0.0821655i
\(4\) 1.68815 + 3.69653i 0.844075 + 1.84827i
\(5\) 3.92324 + 1.15197i 1.75453 + 0.515176i 0.991377 0.131044i \(-0.0418329\pi\)
0.763151 + 0.646220i \(0.223651\pi\)
\(6\) 2.23994 + 1.02295i 0.914453 + 0.417617i
\(7\) 1.23729 2.33861i 0.467653 0.883912i
\(8\) 0.723239 5.03024i 0.255704 1.77846i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) −6.59362 7.60944i −2.08508 2.40632i
\(11\) 1.89212 + 2.94419i 0.570494 + 0.887707i 0.999881 0.0154141i \(-0.00490665\pi\)
−0.429387 + 0.903121i \(0.641270\pi\)
\(12\) −2.19704 3.41866i −0.634230 0.986881i
\(13\) 0.793257 0.687361i 0.220010 0.190640i −0.537881 0.843021i \(-0.680775\pi\)
0.757891 + 0.652381i \(0.226230\pi\)
\(14\) −5.67655 + 3.19736i −1.51712 + 0.854530i
\(15\) −4.04725 0.581907i −1.04500 0.150248i
\(16\) −2.87265 + 3.31522i −0.718163 + 0.828805i
\(17\) −2.66454 + 5.83452i −0.646245 + 1.41508i 0.248558 + 0.968617i \(0.420043\pi\)
−0.894803 + 0.446462i \(0.852684\pi\)
\(18\) −2.36272 0.693758i −0.556899 0.163520i
\(19\) 0.346361 + 0.758424i 0.0794606 + 0.173994i 0.945193 0.326514i \(-0.105874\pi\)
−0.865732 + 0.500508i \(0.833147\pi\)
\(20\) 2.36473 + 16.4471i 0.528771 + 3.67768i
\(21\) −0.891879 + 2.49089i −0.194624 + 0.543558i
\(22\) 8.61807i 1.83738i
\(23\) 4.30464 2.11425i 0.897580 0.440853i
\(24\) 5.08197i 1.03735i
\(25\) 9.85854 + 6.33570i 1.97171 + 1.26714i
\(26\) −2.55837 + 0.367839i −0.501738 + 0.0721391i
\(27\) −0.909632 + 0.415415i −0.175059 + 0.0799467i
\(28\) 10.7335 + 0.625763i 2.02844 + 0.118258i
\(29\) −2.92092 + 6.39592i −0.542401 + 1.18769i 0.417841 + 0.908520i \(0.362787\pi\)
−0.960241 + 0.279172i \(0.909940\pi\)
\(30\) 7.60944 + 6.59362i 1.38929 + 1.20382i
\(31\) −8.75171 1.25831i −1.57185 0.225998i −0.699412 0.714718i \(-0.746555\pi\)
−0.872441 + 0.488720i \(0.837464\pi\)
\(32\) 0.612256 0.179774i 0.108233 0.0317799i
\(33\) −2.29186 2.64495i −0.398961 0.460426i
\(34\) 13.2873 8.53925i 2.27876 1.46447i
\(35\) 7.54821 7.74962i 1.27588 1.30993i
\(36\) 2.66120 + 3.07119i 0.443533 + 0.511865i
\(37\) −0.804448 2.73970i −0.132251 0.450404i 0.866565 0.499064i \(-0.166323\pi\)
−0.998815 + 0.0486606i \(0.984505\pi\)
\(38\) 0.292192 2.03224i 0.0473998 0.329673i
\(39\) −0.687361 + 0.793257i −0.110066 + 0.127023i
\(40\) 8.63212 18.9017i 1.36486 2.98862i
\(41\) −1.15572 + 3.93602i −0.180493 + 0.614703i 0.818688 + 0.574239i \(0.194702\pi\)
−0.999181 + 0.0404645i \(0.987116\pi\)
\(42\) 5.16374 3.97267i 0.796783 0.612997i
\(43\) 9.48236 1.36336i 1.44605 0.207910i 0.625829 0.779961i \(-0.284761\pi\)
0.820218 + 0.572050i \(0.193852\pi\)
\(44\) −7.68912 + 11.9645i −1.15918 + 1.80372i
\(45\) 4.08887 0.609533
\(46\) −11.7321 1.35101i −1.72980 0.199196i
\(47\) 7.61974i 1.11145i −0.831365 0.555727i \(-0.812440\pi\)
0.831365 0.555727i \(-0.187560\pi\)
\(48\) 2.37161 3.69030i 0.342312 0.532648i
\(49\) −3.93822 5.78709i −0.562602 0.826728i
\(50\) −11.9878 26.2496i −1.69533 3.71225i
\(51\) 1.80708 6.15434i 0.253041 0.861779i
\(52\) 3.87999 + 1.77193i 0.538057 + 0.245723i
\(53\) −0.894616 0.775190i −0.122885 0.106480i 0.591250 0.806488i \(-0.298634\pi\)
−0.714135 + 0.700008i \(0.753180\pi\)
\(54\) 2.43741 + 0.350446i 0.331689 + 0.0476897i
\(55\) 4.03162 + 13.7304i 0.543623 + 1.85141i
\(56\) −10.8689 7.91525i −1.45242 1.05772i
\(57\) −0.450770 0.701412i −0.0597060 0.0929043i
\(58\) 14.5658 9.36089i 1.91259 1.22915i
\(59\) 6.11750 5.30085i 0.796431 0.690111i −0.158363 0.987381i \(-0.550621\pi\)
0.954794 + 0.297270i \(0.0960760\pi\)
\(60\) −4.68133 15.9431i −0.604357 2.05825i
\(61\) −0.390573 + 2.71650i −0.0500078 + 0.347812i 0.949421 + 0.314007i \(0.101672\pi\)
−0.999428 + 0.0338048i \(0.989238\pi\)
\(62\) 16.4545 + 14.2579i 2.08973 + 1.81076i
\(63\) 0.528310 2.59247i 0.0665608 0.326620i
\(64\) 6.91028 + 2.02904i 0.863786 + 0.253630i
\(65\) 3.90396 1.78288i 0.484226 0.221139i
\(66\) 1.22648 + 8.53035i 0.150969 + 1.05001i
\(67\) 3.02175 4.70194i 0.369166 0.574433i −0.606122 0.795372i \(-0.707276\pi\)
0.975288 + 0.220939i \(0.0709121\pi\)
\(68\) −26.0656 −3.16092
\(69\) −3.95994 + 2.70535i −0.476720 + 0.325686i
\(70\) −25.9538 + 6.00481i −3.10207 + 0.717712i
\(71\) 11.9080 + 7.65284i 1.41322 + 0.908225i 0.999997 0.00240311i \(-0.000764933\pi\)
0.413228 + 0.910628i \(0.364401\pi\)
\(72\) −0.723239 5.03024i −0.0852346 0.592819i
\(73\) 2.76674 1.26353i 0.323822 0.147885i −0.246870 0.969049i \(-0.579402\pi\)
0.570692 + 0.821164i \(0.306675\pi\)
\(74\) −1.98093 + 6.74643i −0.230279 + 0.784257i
\(75\) −10.6599 4.86820i −1.23089 0.562131i
\(76\) −2.21883 + 2.56067i −0.254517 + 0.293729i
\(77\) 9.22642 0.782102i 1.05145 0.0891288i
\(78\) 2.47998 0.728189i 0.280803 0.0824512i
\(79\) −2.98192 + 2.58385i −0.335492 + 0.290705i −0.806272 0.591545i \(-0.798518\pi\)
0.470780 + 0.882251i \(0.343973\pi\)
\(80\) −15.0891 + 9.69721i −1.68702 + 1.08418i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 7.63422 6.61509i 0.843059 0.730515i
\(83\) −3.67625 + 1.07944i −0.403521 + 0.118484i −0.477194 0.878798i \(-0.658346\pi\)
0.0736732 + 0.997282i \(0.476528\pi\)
\(84\) −10.7133 + 0.908141i −1.16892 + 0.0990863i
\(85\) −17.1748 + 19.8208i −1.86287 + 2.14987i
\(86\) −21.4584 9.79971i −2.31392 1.05673i
\(87\) 1.98095 6.74651i 0.212380 0.723301i
\(88\) 16.1784 7.38844i 1.72463 0.787610i
\(89\) 0.689807 + 4.79771i 0.0731194 + 0.508556i 0.993163 + 0.116739i \(0.0372442\pi\)
−0.920043 + 0.391817i \(0.871847\pi\)
\(90\) −8.47035 5.44357i −0.892854 0.573802i
\(91\) −0.625980 2.70559i −0.0656206 0.283623i
\(92\) 15.0823 + 12.3431i 1.57244 + 1.28685i
\(93\) 8.84170 0.916842
\(94\) −10.1443 + 15.7848i −1.04630 + 1.62808i
\(95\) 0.485177 + 3.37448i 0.0497781 + 0.346214i
\(96\) −0.580439 + 0.265078i −0.0592408 + 0.0270544i
\(97\) −3.41254 1.00201i −0.346491 0.101739i 0.103857 0.994592i \(-0.466882\pi\)
−0.450347 + 0.892853i \(0.648700\pi\)
\(98\) 0.453830 + 17.2313i 0.0458437 + 1.74063i
\(99\) 2.64495 + 2.29186i 0.265827 + 0.230340i
\(100\) −6.77742 + 47.1380i −0.677742 + 4.71380i
\(101\) −1.65387 5.63255i −0.164566 0.560460i −0.999942 0.0107808i \(-0.996568\pi\)
0.835376 0.549679i \(-0.185250\pi\)
\(102\) −11.9368 + 10.3433i −1.18192 + 1.02414i
\(103\) −0.245688 + 0.157894i −0.0242083 + 0.0155577i −0.552689 0.833388i \(-0.686398\pi\)
0.528481 + 0.848945i \(0.322762\pi\)
\(104\) −2.88388 4.48740i −0.282787 0.440025i
\(105\) −6.36849 + 8.74497i −0.621501 + 0.853421i
\(106\) 0.821235 + 2.79687i 0.0797654 + 0.271656i
\(107\) −0.843377 0.121259i −0.0815323 0.0117226i 0.101428 0.994843i \(-0.467659\pi\)
−0.182960 + 0.983120i \(0.558568\pi\)
\(108\) −3.07119 2.66120i −0.295525 0.256074i
\(109\) 6.76924 + 3.09141i 0.648376 + 0.296103i 0.712325 0.701850i \(-0.247642\pi\)
−0.0639491 + 0.997953i \(0.520370\pi\)
\(110\) 9.92775 33.8108i 0.946573 3.22373i
\(111\) 1.18616 + 2.59733i 0.112585 + 0.246528i
\(112\) 4.19870 + 10.8199i 0.396740 + 1.02239i
\(113\) 8.07463 12.5644i 0.759597 1.18196i −0.218910 0.975745i \(-0.570250\pi\)
0.978507 0.206211i \(-0.0661135\pi\)
\(114\) 2.05314i 0.192294i
\(115\) 19.3237 3.33593i 1.80194 0.311077i
\(116\) −28.5737 −2.65300
\(117\) 0.567472 0.883004i 0.0524628 0.0816338i
\(118\) −19.7299 + 2.83673i −1.81628 + 0.261142i
\(119\) 10.3479 + 13.4503i 0.948588 + 1.23299i
\(120\) −5.85426 + 19.9378i −0.534419 + 1.82006i
\(121\) −0.518586 + 1.13554i −0.0471442 + 0.103231i
\(122\) 4.42560 5.10742i 0.400675 0.462404i
\(123\) 0.583803 4.06044i 0.0526397 0.366117i
\(124\) −10.1228 34.4752i −0.909056 3.09596i
\(125\) 17.9907 + 20.7624i 1.60914 + 1.85705i
\(126\) −4.54581 + 4.66711i −0.404973 + 0.415780i
\(127\) −4.91575 + 3.15916i −0.436202 + 0.280330i −0.740257 0.672324i \(-0.765296\pi\)
0.304054 + 0.952655i \(0.401660\pi\)
\(128\) −12.4495 14.3675i −1.10039 1.26992i
\(129\) −9.19182 + 2.69896i −0.809295 + 0.237630i
\(130\) −10.4609 1.50404i −0.917478 0.131913i
\(131\) −12.9354 11.2086i −1.13017 0.979298i −0.130245 0.991482i \(-0.541576\pi\)
−0.999926 + 0.0121838i \(0.996122\pi\)
\(132\) 5.90813 12.9370i 0.514236 1.12602i
\(133\) 2.20221 + 0.128389i 0.190956 + 0.0111327i
\(134\) −12.5195 + 5.71746i −1.08152 + 0.493913i
\(135\) −4.04725 + 0.581907i −0.348332 + 0.0500826i
\(136\) 27.4219 + 17.6230i 2.35141 + 1.51116i
\(137\) 14.9660i 1.27863i 0.768945 + 0.639315i \(0.220782\pi\)
−0.768945 + 0.639315i \(0.779218\pi\)
\(138\) 11.8049 0.332387i 1.00490 0.0282947i
\(139\) 15.7945i 1.33967i −0.742511 0.669834i \(-0.766365\pi\)
0.742511 0.669834i \(-0.233635\pi\)
\(140\) 41.3892 + 14.8197i 3.49803 + 1.25249i
\(141\) 1.08440 + 7.54218i 0.0913232 + 0.635166i
\(142\) −14.4799 31.7067i −1.21513 2.66076i
\(143\) 3.52465 + 1.03493i 0.294746 + 0.0865454i
\(144\) −1.82229 + 3.99025i −0.151857 + 0.332521i
\(145\) −18.8274 + 21.7279i −1.56353 + 1.80441i
\(146\) −7.41362 1.06592i −0.613555 0.0882159i
\(147\) 4.72172 + 5.16772i 0.389441 + 0.426227i
\(148\) 8.76936 7.59869i 0.720837 0.624609i
\(149\) 3.58782 + 5.58275i 0.293925 + 0.457357i 0.956539 0.291605i \(-0.0941892\pi\)
−0.662614 + 0.748961i \(0.730553\pi\)
\(150\) 15.6015 + 24.2764i 1.27386 + 1.98216i
\(151\) −8.73356 10.0791i −0.710727 0.820223i 0.279433 0.960165i \(-0.409854\pi\)
−0.990160 + 0.139943i \(0.955308\pi\)
\(152\) 4.06556 1.19376i 0.329760 0.0968263i
\(153\) −0.912829 + 6.34887i −0.0737979 + 0.513276i
\(154\) −20.1543 10.6631i −1.62408 0.859255i
\(155\) −32.8855 15.0183i −2.64143 1.20630i
\(156\) −4.09267 1.20172i −0.327676 0.0962142i
\(157\) −0.0986331 0.215976i −0.00787177 0.0172368i 0.905655 0.424015i \(-0.139380\pi\)
−0.913527 + 0.406778i \(0.866652\pi\)
\(158\) 9.61714 1.38274i 0.765098 0.110005i
\(159\) 0.995831 + 0.639982i 0.0789746 + 0.0507539i
\(160\) 2.60912 0.206269
\(161\) 0.381677 12.6828i 0.0300804 0.999547i
\(162\) −2.46247 −0.193470
\(163\) −3.22195 2.07062i −0.252363 0.162184i 0.408343 0.912828i \(-0.366107\pi\)
−0.660706 + 0.750645i \(0.729743\pi\)
\(164\) −16.5007 + 2.37244i −1.28849 + 0.185256i
\(165\) −5.94463 13.0169i −0.462789 1.01337i
\(166\) 9.05266 + 2.65810i 0.702622 + 0.206309i
\(167\) −20.4575 9.34262i −1.58305 0.722954i −0.586819 0.809718i \(-0.699620\pi\)
−0.996229 + 0.0867648i \(0.972347\pi\)
\(168\) 11.8847 + 6.28788i 0.916928 + 0.485120i
\(169\) −1.69330 + 11.7772i −0.130254 + 0.905936i
\(170\) 61.9664 18.1950i 4.75260 1.39549i
\(171\) 0.546004 + 0.630122i 0.0417539 + 0.0481866i
\(172\) 21.0473 + 32.7503i 1.60485 + 2.49719i
\(173\) −3.31704 5.16142i −0.252190 0.392415i 0.691958 0.721938i \(-0.256749\pi\)
−0.944148 + 0.329523i \(0.893112\pi\)
\(174\) −13.0854 + 11.3385i −0.992000 + 0.859573i
\(175\) 27.0146 15.2162i 2.04212 1.15024i
\(176\) −15.1960 2.18486i −1.14544 0.164690i
\(177\) −5.30085 + 6.11750i −0.398436 + 0.459820i
\(178\) 4.95828 10.8571i 0.371638 0.813775i
\(179\) 0.260510 + 0.0764925i 0.0194714 + 0.00571732i 0.291454 0.956585i \(-0.405861\pi\)
−0.271982 + 0.962302i \(0.587679\pi\)
\(180\) 6.90263 + 15.1146i 0.514491 + 1.12658i
\(181\) −1.12148 7.80008i −0.0833591 0.579775i −0.988100 0.153813i \(-0.950845\pi\)
0.904741 0.425962i \(-0.140064\pi\)
\(182\) −2.30522 + 6.43817i −0.170875 + 0.477229i
\(183\) 2.74443i 0.202874i
\(184\) −7.52192 23.1825i −0.554523 1.70904i
\(185\) 11.6752i 0.858378i
\(186\) −18.3161 11.7711i −1.34300 0.863097i
\(187\) −22.2195 + 3.19469i −1.62485 + 0.233619i
\(188\) 28.1666 12.8633i 2.05426 0.938150i
\(189\) −0.153986 + 2.64127i −0.0112008 + 0.192124i
\(190\) 3.48741 7.63637i 0.253004 0.554001i
\(191\) 0.766696 + 0.664346i 0.0554762 + 0.0480704i 0.682158 0.731205i \(-0.261042\pi\)
−0.626681 + 0.779276i \(0.715587\pi\)
\(192\) −7.12871 1.02495i −0.514470 0.0739697i
\(193\) 6.75131 1.98236i 0.485970 0.142694i −0.0295640 0.999563i \(-0.509412\pi\)
0.515534 + 0.856869i \(0.327594\pi\)
\(194\) 5.73530 + 6.61889i 0.411770 + 0.475208i
\(195\) −3.61049 + 2.32032i −0.258553 + 0.166162i
\(196\) 14.7439 24.3272i 1.05313 1.73766i
\(197\) −12.5038 14.4302i −0.890860 1.02811i −0.999421 0.0340171i \(-0.989170\pi\)
0.108562 0.994090i \(-0.465376\pi\)
\(198\) −2.42799 8.26898i −0.172550 0.587651i
\(199\) −2.62215 + 18.2375i −0.185880 + 1.29282i 0.656660 + 0.754186i \(0.271969\pi\)
−0.842540 + 0.538634i \(0.818941\pi\)
\(200\) 39.0002 45.0086i 2.75773 3.18259i
\(201\) −2.32184 + 5.08412i −0.163770 + 0.358606i
\(202\) −4.07260 + 13.8700i −0.286547 + 0.975889i
\(203\) 11.3435 + 14.7445i 0.796161 + 1.03486i
\(204\) 25.8003 3.70953i 1.80638 0.259719i
\(205\) −9.06835 + 14.1106i −0.633361 + 0.985529i
\(206\) 0.719163 0.0501065
\(207\) 3.53462 3.24137i 0.245673 0.225291i
\(208\) 4.60437i 0.319256i
\(209\) −1.57759 + 2.45478i −0.109124 + 0.169801i
\(210\) 24.8350 9.63730i 1.71378 0.665037i
\(211\) −5.65466 12.3820i −0.389283 0.852411i −0.998245 0.0592120i \(-0.981141\pi\)
0.608962 0.793199i \(-0.291586\pi\)
\(212\) 1.35527 4.61561i 0.0930801 0.317002i
\(213\) −12.8760 5.88025i −0.882246 0.402908i
\(214\) 1.58567 + 1.37399i 0.108394 + 0.0939243i
\(215\) 38.7722 + 5.57460i 2.64424 + 0.380184i
\(216\) 1.43176 + 4.87611i 0.0974186 + 0.331777i
\(217\) −13.7711 + 18.9100i −0.934844 + 1.28369i
\(218\) −9.90728 15.4160i −0.671006 1.04411i
\(219\) −2.55876 + 1.64441i −0.172905 + 0.111119i
\(220\) −43.9490 + 38.0820i −2.96304 + 2.56749i
\(221\) 1.89676 + 6.45977i 0.127590 + 0.434531i
\(222\) 1.00065 6.95968i 0.0671593 0.467103i
\(223\) 7.56773 + 6.55747i 0.506773 + 0.439121i 0.870343 0.492446i \(-0.163897\pi\)
−0.363571 + 0.931567i \(0.618442\pi\)
\(224\) 0.337116 1.65426i 0.0225245 0.110530i
\(225\) 11.2442 + 3.30159i 0.749612 + 0.220106i
\(226\) −33.4542 + 15.2780i −2.22534 + 1.01628i
\(227\) 2.47059 + 17.1833i 0.163978 + 1.14050i 0.891041 + 0.453924i \(0.149976\pi\)
−0.727062 + 0.686572i \(0.759115\pi\)
\(228\) 1.83183 2.85038i 0.121316 0.188771i
\(229\) 8.65471 0.571920 0.285960 0.958242i \(-0.407688\pi\)
0.285960 + 0.958242i \(0.407688\pi\)
\(230\) −44.4714 18.8153i −2.93236 1.24065i
\(231\) −9.02120 + 2.08720i −0.593552 + 0.137328i
\(232\) 30.0605 + 19.3187i 1.97357 + 1.26833i
\(233\) −2.80358 19.4993i −0.183668 1.27744i −0.847997 0.530001i \(-0.822192\pi\)
0.664329 0.747440i \(-0.268717\pi\)
\(234\) −2.35111 + 1.07372i −0.153697 + 0.0701910i
\(235\) 8.77770 29.8941i 0.572594 1.95008i
\(236\) 29.9220 + 13.6649i 1.94776 + 0.889511i
\(237\) 2.58385 2.98192i 0.167839 0.193696i
\(238\) −3.52968 41.6394i −0.228795 2.69908i
\(239\) −11.6601 + 3.42372i −0.754231 + 0.221462i −0.636175 0.771545i \(-0.719484\pi\)
−0.118056 + 0.993007i \(0.537666\pi\)
\(240\) 13.5555 11.7459i 0.875004 0.758195i
\(241\) 10.6522 6.84576i 0.686169 0.440974i −0.150553 0.988602i \(-0.548105\pi\)
0.836722 + 0.547628i \(0.184469\pi\)
\(242\) 2.58605 1.66195i 0.166237 0.106834i
\(243\) −0.755750 + 0.654861i −0.0484814 + 0.0420093i
\(244\) −10.7010 + 3.14209i −0.685059 + 0.201151i
\(245\) −8.78403 27.2409i −0.561191 1.74036i
\(246\) −6.61509 + 7.63422i −0.421763 + 0.486740i
\(247\) 0.796064 + 0.363550i 0.0506524 + 0.0231322i
\(248\) −12.6592 + 43.1131i −0.803857 + 2.73769i
\(249\) 3.48521 1.59164i 0.220866 0.100866i
\(250\) −9.62767 66.9619i −0.608907 4.23504i
\(251\) −14.4706 9.29969i −0.913376 0.586991i −0.00264728 0.999996i \(-0.500843\pi\)
−0.910729 + 0.413006i \(0.864479\pi\)
\(252\) 10.4750 2.42356i 0.659863 0.152670i
\(253\) 14.3696 + 8.67326i 0.903412 + 0.545283i
\(254\) 14.3891 0.902854
\(255\) 14.1792 22.0633i 0.887936 1.38166i
\(256\) 4.61241 + 32.0800i 0.288276 + 2.00500i
\(257\) 2.53540 1.15788i 0.158154 0.0722264i −0.334765 0.942301i \(-0.608657\pi\)
0.492919 + 0.870075i \(0.335930\pi\)
\(258\) 22.6346 + 6.64612i 1.40917 + 0.413769i
\(259\) −7.40243 1.50852i −0.459965 0.0937346i
\(260\) 13.1809 + 11.4213i 0.817446 + 0.708321i
\(261\) −1.00066 + 6.95975i −0.0619394 + 0.430798i
\(262\) 11.8744 + 40.4403i 0.733600 + 2.49841i
\(263\) 9.76428 8.46080i 0.602091 0.521715i −0.299617 0.954059i \(-0.596859\pi\)
0.901709 + 0.432344i \(0.142314\pi\)
\(264\) −14.9623 + 9.61567i −0.920864 + 0.591803i
\(265\) −2.61680 4.07183i −0.160749 0.250130i
\(266\) −4.39109 3.19780i −0.269235 0.196069i
\(267\) −1.36557 4.65071i −0.0835716 0.284619i
\(268\) 22.4820 + 3.23243i 1.37331 + 0.197452i
\(269\) 2.86314 + 2.48093i 0.174569 + 0.151265i 0.737763 0.675060i \(-0.235882\pi\)
−0.563194 + 0.826325i \(0.690428\pi\)
\(270\) 9.15884 + 4.18270i 0.557389 + 0.254551i
\(271\) −5.41499 + 18.4418i −0.328937 + 1.12026i 0.614558 + 0.788872i \(0.289334\pi\)
−0.943495 + 0.331386i \(0.892484\pi\)
\(272\) −11.6884 25.5941i −0.708715 1.55187i
\(273\) 1.00465 + 2.58896i 0.0608044 + 0.156691i
\(274\) 19.9244 31.0030i 1.20368 1.87296i
\(275\) 41.0133i 2.47319i
\(276\) −16.6854 10.0710i −1.00434 0.606203i
\(277\) 21.9316 1.31774 0.658872 0.752255i \(-0.271034\pi\)
0.658872 + 0.752255i \(0.271034\pi\)
\(278\) −21.0274 + 32.7192i −1.26114 + 1.96237i
\(279\) −8.75171 + 1.25831i −0.523951 + 0.0753328i
\(280\) −33.5233 43.5741i −2.00340 2.60405i
\(281\) −5.05699 + 17.2225i −0.301675 + 1.02741i 0.659554 + 0.751657i \(0.270745\pi\)
−0.961229 + 0.275753i \(0.911073\pi\)
\(282\) 7.79460 17.0678i 0.464162 1.01637i
\(283\) 7.57951 8.74722i 0.450555 0.519968i −0.484346 0.874877i \(-0.660942\pi\)
0.934901 + 0.354908i \(0.115488\pi\)
\(284\) −8.18639 + 56.9376i −0.485773 + 3.37862i
\(285\) −0.960477 3.27109i −0.0568938 0.193762i
\(286\) −5.92373 6.83634i −0.350277 0.404241i
\(287\) 7.77487 + 7.57279i 0.458936 + 0.447008i
\(288\) 0.536807 0.344985i 0.0316316 0.0203284i
\(289\) −15.8092 18.2448i −0.929955 1.07323i
\(290\) 67.9287 19.9457i 3.98891 1.17125i
\(291\) 3.52041 + 0.506158i 0.206370 + 0.0296715i
\(292\) 9.34133 + 8.09431i 0.546660 + 0.473684i
\(293\) −3.58074 + 7.84074i −0.209189 + 0.458061i −0.984922 0.173001i \(-0.944653\pi\)
0.775732 + 0.631062i \(0.217381\pi\)
\(294\) −2.90148 16.9913i −0.169218 0.990956i
\(295\) 30.1069 13.7493i 1.75289 0.800518i
\(296\) −14.3632 + 2.06511i −0.834841 + 0.120032i
\(297\) −2.94419 1.89212i −0.170839 0.109792i
\(298\) 16.3415i 0.946639i
\(299\) 1.96143 4.63599i 0.113432 0.268106i
\(300\) 47.6228i 2.74950i
\(301\) 8.54409 23.8624i 0.492473 1.37541i
\(302\) 4.67373 + 32.5065i 0.268943 + 1.87054i
\(303\) 2.43863 + 5.33985i 0.140095 + 0.306766i
\(304\) −3.50932 1.03043i −0.201273 0.0590991i
\(305\) −4.66163 + 10.2076i −0.266924 + 0.584483i
\(306\) 10.3433 11.9368i 0.591288 0.682382i
\(307\) −5.19678 0.747184i −0.296596 0.0426441i −0.00758949 0.999971i \(-0.502416\pi\)
−0.289007 + 0.957327i \(0.593325\pi\)
\(308\) 18.4666 + 32.7854i 1.05223 + 1.86812i
\(309\) 0.220716 0.191252i 0.0125561 0.0108799i
\(310\) 48.1304 + 74.8924i 2.73362 + 4.25360i
\(311\) −8.84474 13.7627i −0.501539 0.780410i 0.494514 0.869170i \(-0.335346\pi\)
−0.996053 + 0.0887594i \(0.971710\pi\)
\(312\) 3.49314 + 4.03130i 0.197760 + 0.228228i
\(313\) −14.1613 + 4.15813i −0.800444 + 0.235031i −0.656275 0.754522i \(-0.727869\pi\)
−0.144169 + 0.989553i \(0.546051\pi\)
\(314\) −0.0832074 + 0.578720i −0.00469566 + 0.0326591i
\(315\) 5.05913 9.56229i 0.285050 0.538774i
\(316\) −14.5852 6.66083i −0.820481 0.374701i
\(317\) −14.0528 4.12628i −0.789285 0.231755i −0.137843 0.990454i \(-0.544017\pi\)
−0.651441 + 0.758699i \(0.725835\pi\)
\(318\) −1.21091 2.65153i −0.0679045 0.148690i
\(319\) −24.3575 + 3.50208i −1.36376 + 0.196079i
\(320\) 24.7733 + 15.9209i 1.38487 + 0.890003i
\(321\) 0.852049 0.0475568
\(322\) −17.6755 + 25.7652i −0.985016 + 1.43584i
\(323\) −5.34793 −0.297567
\(324\) 3.41866 + 2.19704i 0.189925 + 0.122058i
\(325\) 12.1753 1.75054i 0.675362 0.0971024i
\(326\) 3.91783 + 8.57884i 0.216988 + 0.475138i
\(327\) −7.14029 2.09658i −0.394859 0.115941i
\(328\) 18.9633 + 8.66024i 1.04707 + 0.478182i
\(329\) −17.8196 9.42785i −0.982428 0.519774i
\(330\) −5.01492 + 34.8795i −0.276062 + 1.92005i
\(331\) 25.1121 7.37357i 1.38028 0.405288i 0.494416 0.869225i \(-0.335382\pi\)
0.885868 + 0.463937i \(0.153564\pi\)
\(332\) −10.1963 11.7671i −0.559592 0.645804i
\(333\) −1.54373 2.40208i −0.0845956 0.131633i
\(334\) 29.9410 + 46.5891i 1.63830 + 2.54924i
\(335\) 17.2715 14.9659i 0.943645 0.817673i
\(336\) −5.69580 10.1123i −0.310731 0.551668i
\(337\) −26.0036 3.73875i −1.41651 0.203663i −0.608836 0.793296i \(-0.708363\pi\)
−0.807671 + 0.589633i \(0.799272\pi\)
\(338\) 19.1869 22.1428i 1.04363 1.20441i
\(339\) −6.20435 + 13.5856i −0.336974 + 0.737870i
\(340\) −102.262 30.0268i −5.54592 1.62843i
\(341\) −12.8546 28.1475i −0.696113 1.52427i
\(342\) −0.292192 2.03224i −0.0157999 0.109891i
\(343\) −18.4065 + 2.04963i −0.993857 + 0.110670i
\(344\) 48.6846i 2.62490i
\(345\) −18.6523 + 6.05202i −1.00420 + 0.325830i
\(346\) 15.1082i 0.812223i
\(347\) −19.7454 12.6896i −1.05999 0.681212i −0.110136 0.993916i \(-0.535129\pi\)
−0.949851 + 0.312704i \(0.898765\pi\)
\(348\) 28.2828 4.06646i 1.51612 0.217985i
\(349\) 4.33089 1.97785i 0.231827 0.105872i −0.296115 0.955152i \(-0.595691\pi\)
0.527942 + 0.849280i \(0.322964\pi\)
\(350\) −76.2201 4.44363i −4.07413 0.237522i
\(351\) −0.436032 + 0.954776i −0.0232737 + 0.0509622i
\(352\) 1.68775 + 1.46244i 0.0899573 + 0.0779485i
\(353\) −35.2417 5.06700i −1.87573 0.269689i −0.892361 0.451322i \(-0.850953\pi\)
−0.983366 + 0.181633i \(0.941862\pi\)
\(354\) 19.1253 5.61571i 1.01650 0.298472i
\(355\) 37.9023 + 43.7416i 2.01165 + 2.32156i
\(356\) −16.5704 + 10.6491i −0.878229 + 0.564404i
\(357\) −12.1567 11.8408i −0.643402 0.626680i
\(358\) −0.437826 0.505279i −0.0231398 0.0267048i
\(359\) −9.67814 32.9607i −0.510793 1.73960i −0.660457 0.750864i \(-0.729637\pi\)
0.149664 0.988737i \(-0.452181\pi\)
\(360\) 2.95723 20.5680i 0.155860 1.08403i
\(361\) 11.9871 13.8339i 0.630901 0.728098i
\(362\) −8.06112 + 17.6514i −0.423683 + 0.927737i
\(363\) 0.351703 1.19779i 0.0184596 0.0628676i
\(364\) 8.94454 6.88139i 0.468821 0.360683i
\(365\) 12.3101 1.76993i 0.644341 0.0926423i
\(366\) −3.65370 + 5.68526i −0.190982 + 0.297173i
\(367\) 21.2662 1.11009 0.555043 0.831821i \(-0.312702\pi\)
0.555043 + 0.831821i \(0.312702\pi\)
\(368\) −5.35653 + 20.3443i −0.279228 + 1.06052i
\(369\) 4.10219i 0.213552i
\(370\) −15.5434 + 24.1859i −0.808060 + 1.25737i
\(371\) −2.91977 + 1.13302i −0.151587 + 0.0588237i
\(372\) 14.9261 + 32.6836i 0.773883 + 1.69457i
\(373\) −8.92408 + 30.3926i −0.462071 + 1.57367i 0.318070 + 0.948067i \(0.396965\pi\)
−0.780141 + 0.625603i \(0.784853\pi\)
\(374\) 50.2823 + 22.9632i 2.60004 + 1.18740i
\(375\) −20.7624 17.9907i −1.07217 0.929037i
\(376\) −38.3291 5.51090i −1.97667 0.284203i
\(377\) 2.07927 + 7.08133i 0.107088 + 0.364707i
\(378\) 3.83534 5.26655i 0.197269 0.270882i
\(379\) 6.74628 + 10.4974i 0.346533 + 0.539216i 0.970147 0.242516i \(-0.0779727\pi\)
−0.623614 + 0.781732i \(0.714336\pi\)
\(380\) −11.6548 + 7.49010i −0.597880 + 0.384234i
\(381\) 4.41612 3.82659i 0.226245 0.196042i
\(382\) −0.703807 2.39695i −0.0360099 0.122638i
\(383\) −3.13378 + 21.7959i −0.160128 + 1.11372i 0.738260 + 0.674516i \(0.235648\pi\)
−0.898388 + 0.439202i \(0.855261\pi\)
\(384\) 14.3675 + 12.4495i 0.733190 + 0.635313i
\(385\) 37.0984 + 7.56016i 1.89071 + 0.385302i
\(386\) −16.6249 4.88151i −0.846185 0.248462i
\(387\) 8.71416 3.97962i 0.442966 0.202296i
\(388\) −2.05691 14.3061i −0.104424 0.726282i
\(389\) 0.0341704 0.0531702i 0.00173251 0.00269584i −0.840386 0.541988i \(-0.817672\pi\)
0.842119 + 0.539292i \(0.181308\pi\)
\(390\) 10.5684 0.535153
\(391\) 0.865790 + 30.7490i 0.0437849 + 1.55504i
\(392\) −31.9587 + 15.6247i −1.61416 + 0.789167i
\(393\) 14.3989 + 9.25359i 0.726327 + 0.466782i
\(394\) 6.69137 + 46.5395i 0.337106 + 2.34463i
\(395\) −14.6753 + 6.70198i −0.738394 + 0.337213i
\(396\) −4.00686 + 13.6461i −0.201353 + 0.685744i
\(397\) −20.7751 9.48766i −1.04267 0.476172i −0.180917 0.983498i \(-0.557907\pi\)
−0.861754 + 0.507326i \(0.830634\pi\)
\(398\) 29.7117 34.2892i 1.48931 1.71876i
\(399\) −2.19807 + 0.186325i −0.110041 + 0.00932792i
\(400\) −49.3244 + 14.4830i −2.46622 + 0.724148i
\(401\) 0.624798 0.541390i 0.0312009 0.0270357i −0.639121 0.769106i \(-0.720702\pi\)
0.670322 + 0.742071i \(0.266156\pi\)
\(402\) 11.5784 7.44098i 0.577477 0.371122i
\(403\) −7.80726 + 5.01742i −0.388907 + 0.249936i
\(404\) 18.0289 15.6222i 0.896972 0.777231i
\(405\) 3.92324 1.15197i 0.194948 0.0572418i
\(406\) −3.86930 45.6460i −0.192030 2.26537i
\(407\) 6.54409 7.55228i 0.324378 0.374353i
\(408\) −29.6508 13.5411i −1.46793 0.670383i
\(409\) 3.84709 13.1020i 0.190226 0.647852i −0.808047 0.589118i \(-0.799475\pi\)
0.998274 0.0587340i \(-0.0187064\pi\)
\(410\) 37.5713 17.1582i 1.85551 0.847385i
\(411\) −2.12988 14.8136i −0.105059 0.730703i
\(412\) −0.998417 0.641643i −0.0491885 0.0316115i
\(413\) −4.82749 20.8652i −0.237545 1.02671i
\(414\) −11.6375 + 2.00902i −0.571950 + 0.0987379i
\(415\) −15.6663 −0.769028
\(416\) 0.362106 0.563448i 0.0177537 0.0276253i
\(417\) 2.24778 + 15.6337i 0.110075 + 0.765585i
\(418\) 6.53616 2.98496i 0.319694 0.145999i
\(419\) −11.7366 3.44617i −0.573369 0.168356i −0.0178217 0.999841i \(-0.505673\pi\)
−0.555548 + 0.831485i \(0.687491\pi\)
\(420\) −43.0770 8.77851i −2.10194 0.428348i
\(421\) −3.63748 3.15189i −0.177280 0.153614i 0.561701 0.827340i \(-0.310147\pi\)
−0.738981 + 0.673726i \(0.764693\pi\)
\(422\) −4.77030 + 33.1782i −0.232215 + 1.61509i
\(423\) −2.14673 7.31109i −0.104378 0.355477i
\(424\) −4.54641 + 3.93949i −0.220793 + 0.191318i
\(425\) −63.2342 + 40.6382i −3.06731 + 1.97124i
\(426\) 18.8449 + 29.3232i 0.913038 + 1.42071i
\(427\) 5.86958 + 4.27450i 0.284049 + 0.206858i
\(428\) −0.975507 3.32227i −0.0471529 0.160588i
\(429\) −3.63606 0.522787i −0.175551 0.0252404i
\(430\) −72.8975 63.1660i −3.51543 3.04614i
\(431\) −11.5961 5.29576i −0.558564 0.255088i 0.116069 0.993241i \(-0.462971\pi\)
−0.674633 + 0.738153i \(0.735698\pi\)
\(432\) 1.23587 4.20897i 0.0594606 0.202504i
\(433\) −3.90460 8.54988i −0.187643 0.410881i 0.792307 0.610122i \(-0.208880\pi\)
−0.979951 + 0.199241i \(0.936152\pi\)
\(434\) 53.7028 20.8395i 2.57782 1.00033i
\(435\) 15.5435 24.1862i 0.745255 1.15964i
\(436\) 30.2415i 1.44830i
\(437\) 3.09446 + 2.53245i 0.148028 + 0.121143i
\(438\) 7.48985 0.357879
\(439\) −6.79334 + 10.5706i −0.324229 + 0.504510i −0.964657 0.263508i \(-0.915120\pi\)
0.640429 + 0.768018i \(0.278757\pi\)
\(440\) 71.9832 10.3496i 3.43166 0.493399i
\(441\) −5.40910 4.44315i −0.257576 0.211579i
\(442\) 4.67072 15.9070i 0.222163 0.756619i
\(443\) −4.81421 + 10.5417i −0.228730 + 0.500849i −0.988847 0.148938i \(-0.952415\pi\)
0.760116 + 0.649787i \(0.225142\pi\)
\(444\) −7.59869 + 8.76936i −0.360618 + 0.416175i
\(445\) −2.82053 + 19.6172i −0.133706 + 0.929946i
\(446\) −6.94698 23.6592i −0.328949 1.12030i
\(447\) −4.34580 5.01533i −0.205549 0.237217i
\(448\) 13.2952 13.6500i 0.628138 0.644900i
\(449\) 22.9051 14.7202i 1.08096 0.694690i 0.126180 0.992007i \(-0.459728\pi\)
0.954779 + 0.297318i \(0.0960920\pi\)
\(450\) −18.8976 21.8090i −0.890840 1.02808i
\(451\) −13.7752 + 4.04475i −0.648647 + 0.190460i
\(452\) 60.0758 + 8.63759i 2.82573 + 0.406278i
\(453\) 10.0791 + 8.73356i 0.473556 + 0.410338i
\(454\) 17.7584 38.8854i 0.833441 1.82498i
\(455\) 0.660877 11.3358i 0.0309824 0.531430i
\(456\) −3.85429 + 1.76019i −0.180494 + 0.0824286i
\(457\) −8.52291 + 1.22541i −0.398685 + 0.0573223i −0.338741 0.940879i \(-0.610001\pi\)
−0.0599437 + 0.998202i \(0.519092\pi\)
\(458\) −17.9288 11.5221i −0.837757 0.538394i
\(459\) 6.41415i 0.299387i
\(460\) 44.9527 + 65.7992i 2.09593 + 3.06790i
\(461\) 30.1359i 1.40357i 0.712390 + 0.701784i \(0.247613\pi\)
−0.712390 + 0.701784i \(0.752387\pi\)
\(462\) 21.4667 + 7.68628i 0.998721 + 0.357598i
\(463\) −1.29438 9.00265i −0.0601552 0.418388i −0.997540 0.0700941i \(-0.977670\pi\)
0.937385 0.348294i \(-0.113239\pi\)
\(464\) −12.8131 28.0567i −0.594832 1.30250i
\(465\) 34.6882 + 10.1854i 1.60862 + 0.472335i
\(466\) −20.1519 + 44.1264i −0.933517 + 2.04412i
\(467\) 6.64382 7.66738i 0.307439 0.354804i −0.580914 0.813965i \(-0.697305\pi\)
0.888353 + 0.459161i \(0.151850\pi\)
\(468\) 4.22203 + 0.607036i 0.195163 + 0.0280603i
\(469\) −7.25722 12.8844i −0.335107 0.594945i
\(470\) −57.9820 + 50.2417i −2.67451 + 2.31747i
\(471\) 0.128366 + 0.199741i 0.00591478 + 0.00920358i
\(472\) −22.2401 34.6063i −1.02368 1.59288i
\(473\) 21.9557 + 25.3382i 1.00952 + 1.16505i
\(474\) −9.32246 + 2.73732i −0.428195 + 0.125729i
\(475\) −1.39054 + 9.67140i −0.0638022 + 0.443754i
\(476\) −32.2508 + 60.9574i −1.47821 + 2.79398i
\(477\) −1.07677 0.491746i −0.0493021 0.0225155i
\(478\) 28.7127 + 8.43082i 1.31329 + 0.385617i
\(479\) 8.48472 + 18.5789i 0.387677 + 0.848894i 0.998373 + 0.0570285i \(0.0181626\pi\)
−0.610696 + 0.791865i \(0.709110\pi\)
\(480\) −2.58257 + 0.371317i −0.117877 + 0.0169482i
\(481\) −2.52130 1.62034i −0.114961 0.0738811i
\(482\) −31.1806 −1.42024
\(483\) 1.42716 + 12.6081i 0.0649382 + 0.573687i
\(484\) −5.07303 −0.230592
\(485\) −12.2339 7.86227i −0.555514 0.357007i
\(486\) 2.43741 0.350446i 0.110563 0.0158966i
\(487\) 4.24368 + 9.29236i 0.192299 + 0.421077i 0.981081 0.193596i \(-0.0620152\pi\)
−0.788782 + 0.614673i \(0.789288\pi\)
\(488\) 13.3822 + 3.92935i 0.605782 + 0.177874i
\(489\) 3.48383 + 1.59101i 0.157544 + 0.0719481i
\(490\) −18.0695 + 68.1255i −0.816295 + 3.07760i
\(491\) 0.869824 6.04976i 0.0392546 0.273022i −0.960736 0.277466i \(-0.910505\pi\)
0.999990 + 0.00444402i \(0.00141458\pi\)
\(492\) 15.9951 4.69658i 0.721114 0.211738i
\(493\) −29.5342 34.0843i −1.33015 1.53508i
\(494\) −1.16510 1.81293i −0.0524202 0.0815675i
\(495\) 7.73662 + 12.0384i 0.347735 + 0.541086i
\(496\) 29.3122 25.3991i 1.31616 1.14046i
\(497\) 32.6307 18.3795i 1.46369 0.824434i
\(498\) −9.33880 1.34272i −0.418482 0.0601686i
\(499\) 10.0152 11.5582i 0.448343 0.517416i −0.485918 0.874004i \(-0.661515\pi\)
0.934262 + 0.356589i \(0.116060\pi\)
\(500\) −46.3779 + 101.553i −2.07408 + 4.54160i
\(501\) 21.5788 + 6.33612i 0.964072 + 0.283077i
\(502\) 17.5960 + 38.5298i 0.785346 + 1.71967i
\(503\) 4.88488 + 33.9751i 0.217806 + 1.51487i 0.746113 + 0.665820i \(0.231918\pi\)
−0.528307 + 0.849054i \(0.677173\pi\)
\(504\) −12.6586 4.53250i −0.563860 0.201894i
\(505\) 24.0031i 1.06812i
\(506\) −18.2208 37.0977i −0.810013 1.64919i
\(507\) 11.8983i 0.528421i
\(508\) −19.9765 12.8381i −0.886312 0.569598i
\(509\) −5.46892 + 0.786312i −0.242406 + 0.0348527i −0.262447 0.964946i \(-0.584529\pi\)
0.0200410 + 0.999799i \(0.493620\pi\)
\(510\) −58.7462 + 26.8285i −2.60133 + 1.18799i
\(511\) 0.468364 8.03368i 0.0207192 0.355389i
\(512\) 17.3588 38.0104i 0.767157 1.67984i
\(513\) −0.630122 0.546004i −0.0278206 0.0241066i
\(514\) −6.79373 0.976791i −0.299659 0.0430844i
\(515\) −1.14578 + 0.336432i −0.0504891 + 0.0148249i
\(516\) −25.4940 29.4216i −1.12231 1.29521i
\(517\) 22.4340 14.4174i 0.986645 0.634078i
\(518\) 13.3263 + 12.9799i 0.585524 + 0.570306i
\(519\) 4.01783 + 4.63682i 0.176363 + 0.203534i
\(520\) −6.14481 20.9273i −0.269468 0.917722i
\(521\) 1.11772 7.77390i 0.0489681 0.340581i −0.950579 0.310483i \(-0.899509\pi\)
0.999547 0.0300976i \(-0.00958180\pi\)
\(522\) 11.3385 13.0854i 0.496275 0.572731i
\(523\) 1.85402 4.05974i 0.0810707 0.177520i −0.864756 0.502193i \(-0.832527\pi\)
0.945826 + 0.324673i \(0.105254\pi\)
\(524\) 19.5960 66.7378i 0.856055 2.91546i
\(525\) −24.5742 + 18.9059i −1.07251 + 0.825121i
\(526\) −31.4913 + 4.52776i −1.37309 + 0.197420i
\(527\) 30.6608 47.7092i 1.33561 2.07825i
\(528\) 15.3523 0.668123
\(529\) 14.0599 18.2022i 0.611298 0.791400i
\(530\) 11.9188i 0.517721i
\(531\) 4.37628 6.80962i 0.189914 0.295513i
\(532\) 3.24307 + 8.35728i 0.140605 + 0.362334i
\(533\) 1.78869 + 3.91667i 0.0774765 + 0.169650i
\(534\) −3.36268 + 11.4522i −0.145517 + 0.495587i
\(535\) −3.16909 1.44727i −0.137012 0.0625711i
\(536\) −21.4664 18.6008i −0.927208 0.803430i
\(537\) −0.268744 0.0386395i −0.0115972 0.00166742i
\(538\) −2.62829 8.95114i −0.113314 0.385911i
\(539\) 9.58674 22.5447i 0.412930 0.971069i
\(540\) −8.98341 13.9785i −0.386584 0.601537i
\(541\) 4.85765 3.12182i 0.208847 0.134218i −0.432036 0.901856i \(-0.642205\pi\)
0.640883 + 0.767639i \(0.278568\pi\)
\(542\) 35.7693 30.9942i 1.53642 1.33132i
\(543\) 2.22013 + 7.56108i 0.0952751 + 0.324477i
\(544\) −0.582479 + 4.05123i −0.0249736 + 0.173695i
\(545\) 22.9962 + 19.9263i 0.985048 + 0.853549i
\(546\) 1.36551 6.70070i 0.0584386 0.286764i
\(547\) −38.2630 11.2350i −1.63601 0.480375i −0.670751 0.741682i \(-0.734028\pi\)
−0.965256 + 0.261307i \(0.915846\pi\)
\(548\) −55.3222 + 25.2648i −2.36325 + 1.07926i
\(549\) 0.390573 + 2.71650i 0.0166693 + 0.115937i
\(550\) 54.6015 84.9616i 2.32822 3.62278i
\(551\) −5.86251 −0.249751
\(552\) 10.7446 + 21.8760i 0.457319 + 0.931106i
\(553\) 2.35311 + 10.1705i 0.100064 + 0.432495i
\(554\) −45.4327 29.1979i −1.93025 1.24050i
\(555\) 1.66156 + 11.5564i 0.0705291 + 0.490541i
\(556\) 58.3847 26.6634i 2.47606 1.13078i
\(557\) −9.75837 + 33.2340i −0.413475 + 1.40817i 0.445100 + 0.895481i \(0.353168\pi\)
−0.858575 + 0.512687i \(0.828650\pi\)
\(558\) 19.8049 + 9.04460i 0.838409 + 0.382888i
\(559\) 6.58483 7.59930i 0.278509 0.321416i
\(560\) 4.00832 + 47.2859i 0.169382 + 1.99820i
\(561\) 21.5387 6.32434i 0.909366 0.267014i
\(562\) 33.4045 28.9451i 1.40908 1.22098i
\(563\) 12.9198 8.30304i 0.544504 0.349931i −0.239294 0.970947i \(-0.576916\pi\)
0.783798 + 0.621016i \(0.213280\pi\)
\(564\) −26.0493 + 16.7409i −1.09687 + 0.704917i
\(565\) 46.1525 39.9914i 1.94165 1.68245i
\(566\) −27.3467 + 8.02972i −1.14947 + 0.337514i
\(567\) −0.223473 2.63630i −0.00938498 0.110714i
\(568\) 47.1080 54.3655i 1.97661 2.28112i
\(569\) 32.2808 + 14.7422i 1.35328 + 0.618023i 0.954277 0.298925i \(-0.0966282\pi\)
0.399006 + 0.916949i \(0.369355\pi\)
\(570\) −2.36515 + 8.05495i −0.0990651 + 0.337385i
\(571\) −41.9278 + 19.1478i −1.75462 + 0.801310i −0.767561 + 0.640976i \(0.778530\pi\)
−0.987063 + 0.160334i \(0.948743\pi\)
\(572\) 2.12449 + 14.7761i 0.0888292 + 0.617821i
\(573\) −0.853438 0.548472i −0.0356529 0.0229127i
\(574\) −6.02437 26.0383i −0.251452 1.08682i
\(575\) 55.8328 + 6.42945i 2.32839 + 0.268126i
\(576\) 7.20202 0.300084
\(577\) 0.312442 0.486170i 0.0130071 0.0202395i −0.834689 0.550721i \(-0.814353\pi\)
0.847696 + 0.530482i \(0.177989\pi\)
\(578\) 8.46026 + 58.8424i 0.351900 + 2.44752i
\(579\) −6.40047 + 2.92300i −0.265994 + 0.121476i
\(580\) −112.101 32.9159i −4.65476 1.36676i
\(581\) −2.02419 + 9.93291i −0.0839777 + 0.412086i
\(582\) −6.61889 5.73530i −0.274362 0.237736i
\(583\) 0.589587 4.10067i 0.0244182 0.169832i
\(584\) −4.35483 14.8312i −0.180204 0.613718i
\(585\) 3.24353 2.81053i 0.134103 0.116201i
\(586\) 17.8562 11.4755i 0.737633 0.474048i
\(587\) −19.0939 29.7107i −0.788090 1.22629i −0.970031 0.242983i \(-0.921874\pi\)
0.181940 0.983310i \(-0.441762\pi\)
\(588\) −11.1317 + 26.1779i −0.459063 + 1.07956i
\(589\) −2.07692 7.07334i −0.0855779 0.291452i
\(590\) −80.6729 11.5990i −3.32125 0.477524i
\(591\) 14.4302 + 12.5038i 0.593578 + 0.514338i
\(592\) 11.3936 + 5.20329i 0.468274 + 0.213854i
\(593\) 11.1968 38.1326i 0.459795 1.56592i −0.324720 0.945810i \(-0.605270\pi\)
0.784515 0.620109i \(-0.212912\pi\)
\(594\) 3.58008 + 7.83927i 0.146892 + 0.321649i
\(595\) 25.1029 + 64.6893i 1.02912 + 2.65200i
\(596\) −14.5800 + 22.6870i −0.597222 + 0.929295i
\(597\) 18.4250i 0.754086i
\(598\) −10.2352 + 6.99247i −0.418547 + 0.285943i
\(599\) 21.7945 0.890500 0.445250 0.895406i \(-0.353115\pi\)
0.445250 + 0.895406i \(0.353115\pi\)
\(600\) −32.1978 + 50.1008i −1.31447 + 2.04536i
\(601\) 32.7194 4.70434i 1.33465 0.191894i 0.562218 0.826989i \(-0.309948\pi\)
0.772434 + 0.635095i \(0.219039\pi\)
\(602\) −49.4680 + 38.0577i −2.01617 + 1.55112i
\(603\) 1.57466 5.36280i 0.0641251 0.218390i
\(604\) 22.5140 49.2989i 0.916083 2.00594i
\(605\) −3.34265 + 3.85762i −0.135898 + 0.156835i
\(606\) 2.05724 14.3084i 0.0835696 0.581239i
\(607\) −3.23837 11.0289i −0.131441 0.447648i 0.867301 0.497784i \(-0.165853\pi\)
−0.998742 + 0.0501361i \(0.984034\pi\)
\(608\) 0.348407 + 0.402083i 0.0141298 + 0.0163066i
\(609\) −13.3264 12.9801i −0.540015 0.525979i
\(610\) 23.2463 14.9395i 0.941216 0.604882i
\(611\) −5.23751 6.04441i −0.211887 0.244531i
\(612\) −25.0098 + 7.34354i −1.01096 + 0.296845i
\(613\) 12.1452 + 1.74621i 0.490539 + 0.0705288i 0.383146 0.923688i \(-0.374841\pi\)
0.107393 + 0.994217i \(0.465750\pi\)
\(614\) 9.77072 + 8.46638i 0.394314 + 0.341675i
\(615\) 6.96789 15.2576i 0.280973 0.615244i
\(616\) 2.73875 46.9767i 0.110347 1.89275i
\(617\) 35.2783 16.1110i 1.42025 0.648606i 0.450515 0.892769i \(-0.351240\pi\)
0.969734 + 0.244162i \(0.0785130\pi\)
\(618\) −0.711843 + 0.102348i −0.0286345 + 0.00411702i
\(619\) −0.160283 0.103007i −0.00644230 0.00414022i 0.537416 0.843317i \(-0.319401\pi\)
−0.543858 + 0.839177i \(0.683037\pi\)
\(620\) 146.916i 5.90027i
\(621\) −3.03735 + 3.71141i −0.121884 + 0.148934i
\(622\) 40.2854i 1.61530i
\(623\) 12.0735 + 4.32298i 0.483714 + 0.173197i
\(624\) −0.655270 4.55750i −0.0262318 0.182446i
\(625\) 22.3234 + 48.8814i 0.892936 + 1.95526i
\(626\) 34.8718 + 10.2393i 1.39376 + 0.409244i
\(627\) 1.21218 2.65431i 0.0484099 0.106003i
\(628\) 0.631856 0.729200i 0.0252138 0.0290983i
\(629\) 18.1283 + 2.60646i 0.722823 + 0.103926i
\(630\) −23.2107 + 13.0736i −0.924736 + 0.520864i
\(631\) −32.8881 + 28.4977i −1.30925 + 1.13447i −0.327388 + 0.944890i \(0.606169\pi\)
−0.981864 + 0.189584i \(0.939286\pi\)
\(632\) 10.8407 + 16.8685i 0.431221 + 0.670993i
\(633\) 7.35925 + 11.4512i 0.292504 + 0.455145i
\(634\) 23.6179 + 27.2565i 0.937987 + 1.08250i
\(635\) −22.9249 + 6.73137i −0.909749 + 0.267126i
\(636\) −0.684602 + 4.76151i −0.0271462 + 0.188806i
\(637\) −7.10184 1.88368i −0.281385 0.0746340i
\(638\) 55.1205 + 25.1727i 2.18224 + 0.996596i
\(639\) 13.5817 + 3.98796i 0.537285 + 0.157761i
\(640\) −32.2916 70.7088i −1.27644 2.79501i
\(641\) −8.58720 + 1.23465i −0.339174 + 0.0487658i −0.309797 0.950803i \(-0.600261\pi\)
−0.0293764 + 0.999568i \(0.509352\pi\)
\(642\) −1.76507 1.13434i −0.0696619 0.0447690i
\(643\) 14.0851 0.555463 0.277731 0.960659i \(-0.410417\pi\)
0.277731 + 0.960659i \(0.410417\pi\)
\(644\) 47.5268 19.9996i 1.87282 0.788096i
\(645\) −39.1709 −1.54235
\(646\) 11.0786 + 7.11977i 0.435881 + 0.280124i
\(647\) −18.1653 + 2.61178i −0.714153 + 0.102680i −0.489808 0.871830i \(-0.662933\pi\)
−0.224345 + 0.974510i \(0.572024\pi\)
\(648\) −2.11112 4.62272i −0.0829328 0.181598i
\(649\) 27.1817 + 7.98127i 1.06698 + 0.313292i
\(650\) −27.5523 12.5827i −1.08069 0.493536i
\(651\) 10.9398 20.6773i 0.428763 0.810408i
\(652\) 2.21498 15.4056i 0.0867455 0.603328i
\(653\) −19.2402 + 5.64944i −0.752929 + 0.221080i −0.635606 0.772014i \(-0.719250\pi\)
−0.117323 + 0.993094i \(0.537431\pi\)
\(654\) 12.0004 + 13.8492i 0.469251 + 0.541545i
\(655\) −37.8368 58.8751i −1.47840 2.30044i
\(656\) −9.72879 15.1383i −0.379846 0.591051i
\(657\) 2.29869 1.99182i 0.0896804 0.0777085i
\(658\) 24.3631 + 43.2539i 0.949771 + 1.68621i
\(659\) −16.7304 2.40547i −0.651724 0.0937038i −0.191480 0.981496i \(-0.561329\pi\)
−0.460244 + 0.887793i \(0.652238\pi\)
\(660\) 38.0820 43.9490i 1.48234 1.71071i
\(661\) 4.31369 9.44566i 0.167783 0.367393i −0.806999 0.590553i \(-0.798910\pi\)
0.974782 + 0.223159i \(0.0716370\pi\)
\(662\) −61.8378 18.1572i −2.40339 0.705700i
\(663\) −2.79677 6.12408i −0.108618 0.237840i
\(664\) 2.77105 + 19.2731i 0.107538 + 0.747941i
\(665\) 8.49191 + 3.04058i 0.329302 + 0.117909i
\(666\) 7.03125i 0.272455i
\(667\) 0.949096 + 33.7077i 0.0367492 + 1.30517i
\(668\) 91.3935i 3.53612i
\(669\) −8.42393 5.41373i −0.325688 0.209307i
\(670\) −55.7034 + 8.00893i −2.15201 + 0.309412i
\(671\) −8.73689 + 3.99001i −0.337284 + 0.154032i
\(672\) −0.0982590 + 1.68540i −0.00379042 + 0.0650158i
\(673\) −8.49743 + 18.6068i −0.327552 + 0.717239i −0.999732 0.0231489i \(-0.992631\pi\)
0.672180 + 0.740388i \(0.265358\pi\)
\(674\) 48.8907 + 42.3640i 1.88320 + 1.63180i
\(675\) −11.5996 1.66777i −0.446468 0.0641925i
\(676\) −46.3932 + 13.6223i −1.78436 + 0.523934i
\(677\) −21.6679 25.0061i −0.832765 0.961063i 0.166924 0.985970i \(-0.446616\pi\)
−0.999690 + 0.0249071i \(0.992071\pi\)
\(678\) 30.9394 19.8835i 1.18822 0.763623i
\(679\) −6.56563 + 6.74082i −0.251966 + 0.258689i
\(680\) 87.2818 + 100.729i 3.34710 + 3.86276i
\(681\) −4.89088 16.6568i −0.187419 0.638290i
\(682\) −10.8442 + 75.4228i −0.415245 + 2.88809i
\(683\) −30.3978 + 35.0810i −1.16314 + 1.34234i −0.234164 + 0.972197i \(0.575235\pi\)
−0.928977 + 0.370139i \(0.879310\pi\)
\(684\) −1.40753 + 3.08206i −0.0538182 + 0.117845i
\(685\) −17.2403 + 58.7152i −0.658719 + 2.24339i
\(686\) 40.8589 + 20.2589i 1.56000 + 0.773487i
\(687\) −8.56662 + 1.23169i −0.326837 + 0.0469921i
\(688\) −22.7197 + 35.3526i −0.866181 + 1.34780i
\(689\) −1.24250 −0.0473353
\(690\) 46.6965 + 12.2949i 1.77770 + 0.468057i
\(691\) 13.7105i 0.521574i −0.965396 0.260787i \(-0.916018\pi\)
0.965396 0.260787i \(-0.0839820\pi\)
\(692\) 13.4797 20.9748i 0.512421 0.797342i
\(693\) 8.63234 3.34980i 0.327916 0.127249i
\(694\) 24.0100 + 52.5745i 0.911406 + 1.99570i
\(695\) 18.1947 61.9655i 0.690165 2.35048i
\(696\) −32.5038 14.8440i −1.23205 0.562660i
\(697\) −19.8853 17.2308i −0.753211 0.652661i
\(698\) −11.6048 1.66852i −0.439250 0.0631546i
\(699\) 5.55008 + 18.9018i 0.209923 + 0.714933i
\(700\) 101.852 + 74.1733i 3.84964 + 2.80349i
\(701\) 17.7961 + 27.6912i 0.672148 + 1.04588i 0.995043 + 0.0994479i \(0.0317077\pi\)
−0.322895 + 0.946435i \(0.604656\pi\)
\(702\) 2.17437 1.39738i 0.0820664 0.0527409i
\(703\) 1.79923 1.55904i 0.0678591 0.0588002i
\(704\) 7.10117 + 24.1844i 0.267635 + 0.911483i
\(705\) −4.43398 + 30.8390i −0.166993 + 1.16146i
\(706\) 66.2597 + 57.4144i 2.49372 + 2.16082i
\(707\) −15.2187 3.10136i −0.572357 0.116639i
\(708\) −31.5622 9.26749i −1.18618 0.348294i
\(709\) 5.51109 2.51683i 0.206973 0.0945215i −0.309231 0.950987i \(-0.600072\pi\)
0.516204 + 0.856465i \(0.327344\pi\)
\(710\) −20.2833 141.073i −0.761218 5.29439i
\(711\) −2.13318 + 3.31929i −0.0800003 + 0.124483i
\(712\) 24.6325 0.923143
\(713\) −40.3333 + 13.0868i −1.51049 + 0.490104i
\(714\) 9.41966 + 40.7133i 0.352522 + 1.52366i
\(715\) 12.6359 + 8.12058i 0.472555 + 0.303692i
\(716\) 0.157022 + 1.09211i 0.00586819 + 0.0408142i
\(717\) 11.0542 5.04828i 0.412827 0.188532i
\(718\) −23.8322 + 81.1649i −0.889408 + 3.02905i
\(719\) 39.7983 + 18.1753i 1.48423 + 0.677824i 0.982339 0.187109i \(-0.0599117\pi\)
0.501888 + 0.864933i \(0.332639\pi\)
\(720\) −11.7459 + 13.5555i −0.437744 + 0.505184i
\(721\) 0.0652651 + 0.769929i 0.00243060 + 0.0286736i
\(722\) −43.2493 + 12.6991i −1.60957 + 0.472613i
\(723\) −9.56953 + 8.29204i −0.355895 + 0.308384i
\(724\) 26.9400 17.3133i 1.00122 0.643443i
\(725\) −69.3186 + 44.5484i −2.57443 + 1.65448i
\(726\) −2.32321 + 2.01307i −0.0862222 + 0.0747120i
\(727\) 0.824652 0.242140i 0.0305847 0.00898047i −0.266404 0.963861i \(-0.585836\pi\)
0.296989 + 0.954881i \(0.404017\pi\)
\(728\) −14.0625 + 1.19204i −0.521190 + 0.0441801i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) −27.8575 12.7221i −1.03105 0.470866i
\(731\) −17.3116 + 58.9578i −0.640291 + 2.18063i
\(732\) 10.1449 4.63301i 0.374965 0.171241i
\(733\) 2.66335 + 18.5240i 0.0983732 + 0.684201i 0.978011 + 0.208556i \(0.0668762\pi\)
−0.879637 + 0.475645i \(0.842215\pi\)
\(734\) −44.0543 28.3120i −1.62607 1.04501i
\(735\) 12.5714 + 25.7135i 0.463703 + 0.948457i
\(736\) 2.25545 2.06833i 0.0831370 0.0762396i
\(737\) 19.5609 0.720535
\(738\) 5.46130 8.49795i 0.201033 0.312814i
\(739\) 0.635306 + 4.41865i 0.0233701 + 0.162543i 0.998164 0.0605630i \(-0.0192896\pi\)
−0.974794 + 0.223106i \(0.928381\pi\)
\(740\) 43.1578 19.7095i 1.58651 0.724536i
\(741\) −0.839700 0.246558i −0.0308472 0.00905754i
\(742\) 7.55690 + 1.53999i 0.277422 + 0.0565350i
\(743\) 2.86049 + 2.47863i 0.104941 + 0.0909320i 0.705751 0.708460i \(-0.250610\pi\)
−0.600810 + 0.799392i \(0.705155\pi\)
\(744\) 6.39467 44.4759i 0.234440 1.63056i
\(745\) 7.64472 + 26.0355i 0.280081 + 0.953868i
\(746\) 58.9489 51.0795i 2.15827 1.87015i
\(747\) −3.22322 + 2.07144i −0.117931 + 0.0757899i
\(748\) −49.3192 76.7421i −1.80329 2.80597i
\(749\) −1.32708 + 1.82230i −0.0484905 + 0.0665853i
\(750\) 19.0594 + 64.9102i 0.695949 + 2.37018i
\(751\) 31.8637 + 4.58131i 1.16272 + 0.167175i 0.696543 0.717515i \(-0.254720\pi\)
0.466181 + 0.884689i \(0.345630\pi\)
\(752\) 25.2611 + 21.8889i 0.921178 + 0.798205i
\(753\) 15.6468 + 7.14565i 0.570201 + 0.260402i
\(754\) 5.12013 17.4376i 0.186464 0.635039i
\(755\) −22.6531 49.6034i −0.824431 1.80525i
\(756\) −10.0235 + 3.88964i −0.364550 + 0.141465i
\(757\) 14.4593 22.4991i 0.525533 0.817745i −0.472442 0.881362i \(-0.656627\pi\)
0.997974 + 0.0636172i \(0.0202637\pi\)
\(758\) 30.7275i 1.11607i
\(759\) −15.4577 6.53997i −0.561080 0.237386i
\(760\) 17.3253 0.628456
\(761\) −14.5403 + 22.6252i −0.527087 + 0.820163i −0.998078 0.0619748i \(-0.980260\pi\)
0.470991 + 0.882138i \(0.343897\pi\)
\(762\) −14.2427 + 2.04779i −0.515957 + 0.0741834i
\(763\) 15.6051 12.0057i 0.564944 0.434634i
\(764\) −1.16148 + 3.95563i −0.0420208 + 0.143110i
\(765\) −10.8949 + 23.8566i −0.393908 + 0.862537i
\(766\) 35.5090 40.9795i 1.28299 1.48065i
\(767\) 1.20916 8.40986i 0.0436601 0.303663i
\(768\) −9.13093 31.0971i −0.329484 1.12212i
\(769\) −20.0116 23.0946i −0.721636 0.832813i 0.269866 0.962898i \(-0.413020\pi\)
−0.991503 + 0.130085i \(0.958475\pi\)
\(770\) −66.7868 65.0510i −2.40683 2.34427i
\(771\) −2.34481 + 1.50692i −0.0844462 + 0.0542703i
\(772\) 18.7251 + 21.6099i 0.673930 + 0.777757i
\(773\) −26.6922 + 7.83754i −0.960052 + 0.281897i −0.723