Properties

Label 384.2.v.a.229.28
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.28
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.26090 - 0.640414i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(1.17974 - 1.61500i) q^{4} +(-0.276206 - 0.336558i) q^{5} +(-0.810126 + 1.15918i) q^{6} +(0.338802 - 0.226380i) q^{7} +(0.453269 - 2.79187i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(1.26090 - 0.640414i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(1.17974 - 1.61500i) q^{4} +(-0.276206 - 0.336558i) q^{5} +(-0.810126 + 1.15918i) q^{6} +(0.338802 - 0.226380i) q^{7} +(0.453269 - 2.79187i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-0.563804 - 0.247480i) q^{10} +(5.34125 - 1.62025i) q^{11} +(-0.279134 + 1.98043i) q^{12} +(-0.687095 - 0.563884i) q^{13} +(0.282218 - 0.502416i) q^{14} +(0.402244 + 0.166615i) q^{15} +(-1.21643 - 3.81055i) q^{16} +(-2.42587 + 1.00483i) q^{17} +(0.168034 - 1.40420i) q^{18} +(-0.274116 - 2.78314i) q^{19} +(-0.869391 + 0.0490207i) q^{20} +(-0.192082 + 0.359359i) q^{21} +(5.69715 - 5.46359i) q^{22} +(2.38024 - 0.473459i) q^{23} +(0.916332 + 2.67588i) q^{24} +(0.938470 - 4.71801i) q^{25} +(-1.22748 - 0.270977i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(0.0340950 - 0.814233i) q^{28} +(-2.19967 + 7.25133i) q^{29} +(0.613892 - 0.0475178i) q^{30} +(6.54326 + 6.54326i) q^{31} +(-3.97412 - 4.02571i) q^{32} +(-3.94678 + 3.94678i) q^{33} +(-2.41527 + 2.82054i) q^{34} +(-0.169769 - 0.0514989i) q^{35} +(-0.687392 - 1.87816i) q^{36} +(-8.61002 - 0.848013i) q^{37} +(-2.12800 - 3.33372i) q^{38} +(0.871777 + 0.173407i) q^{39} +(-1.06482 + 0.618580i) q^{40} +(1.68923 + 8.49234i) q^{41} +(-0.0120570 + 0.576128i) q^{42} +(-3.39302 - 1.81361i) q^{43} +(3.68459 - 10.5376i) q^{44} +(-0.433289 + 0.0426753i) q^{45} +(2.69803 - 2.12132i) q^{46} +(2.17271 + 5.24538i) q^{47} +(2.86907 + 2.78719i) q^{48} +(-2.61525 + 6.31376i) q^{49} +(-1.83816 - 6.54995i) q^{50} +(1.66575 - 2.02972i) q^{51} +(-1.72126 + 0.444419i) q^{52} +(0.0205226 + 0.0676539i) q^{53} +(0.513740 + 1.31760i) q^{54} +(-2.02059 - 1.35012i) q^{55} +(-0.478456 - 1.04850i) q^{56} +(1.55371 + 2.32530i) q^{57} +(1.87029 + 10.5519i) q^{58} +(-2.24028 + 1.83855i) q^{59} +(0.743626 - 0.453060i) q^{60} +(-2.98198 - 5.57890i) q^{61} +(12.4408 + 4.06000i) q^{62} -0.407473i q^{63} +(-7.58910 - 2.53094i) q^{64} +0.386995i q^{65} +(-2.44893 + 7.50407i) q^{66} +(-3.71158 - 6.94388i) q^{67} +(-1.23910 + 5.10320i) q^{68} +(-1.87600 + 1.53959i) q^{69} +(-0.247042 + 0.0437875i) q^{70} +(5.59391 + 8.37188i) q^{71} +(-2.06953 - 1.92796i) q^{72} +(8.63592 + 5.77034i) q^{73} +(-11.3995 + 4.44472i) q^{74} +(1.39640 + 4.60330i) q^{75} +(-4.81815 - 2.84069i) q^{76} +(1.44283 - 1.75810i) q^{77} +(1.21028 - 0.339649i) q^{78} +(-1.25986 + 3.04156i) q^{79} +(-0.946487 + 1.46189i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(7.56857 + 9.62619i) q^{82} +(-0.917680 + 0.0903836i) q^{83} +(0.353758 + 0.734162i) q^{84} +(1.00822 + 0.538905i) q^{85} +(-5.43972 - 0.113841i) q^{86} +(-1.47832 - 7.43202i) q^{87} +(-2.10251 - 15.6465i) q^{88} +(-6.22319 - 1.23787i) q^{89} +(-0.519005 + 0.331294i) q^{90} +(-0.360441 - 0.0355003i) q^{91} +(2.04343 - 4.40263i) q^{92} +(-8.85511 - 2.68617i) q^{93} +(6.09878 + 5.22247i) q^{94} +(-0.860977 + 0.860977i) q^{95} +(5.40257 + 1.67697i) q^{96} +(-9.59489 - 9.59489i) q^{97} +(0.745856 + 9.63586i) q^{98} +(1.62025 - 5.34125i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.26090 0.640414i 0.891591 0.452841i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) 1.17974 1.61500i 0.589870 0.807498i
\(5\) −0.276206 0.336558i −0.123523 0.150513i 0.707577 0.706636i \(-0.249788\pi\)
−0.831100 + 0.556123i \(0.812288\pi\)
\(6\) −0.810126 + 1.15918i −0.330733 + 0.473233i
\(7\) 0.338802 0.226380i 0.128055 0.0855636i −0.489893 0.871783i \(-0.662964\pi\)
0.617948 + 0.786219i \(0.287964\pi\)
\(8\) 0.453269 2.79187i 0.160255 0.987076i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −0.563804 0.247480i −0.178291 0.0782600i
\(11\) 5.34125 1.62025i 1.61045 0.488524i 0.648376 0.761320i \(-0.275449\pi\)
0.962072 + 0.272796i \(0.0879485\pi\)
\(12\) −0.279134 + 1.98043i −0.0805790 + 0.571700i
\(13\) −0.687095 0.563884i −0.190566 0.156393i 0.534273 0.845312i \(-0.320586\pi\)
−0.724838 + 0.688919i \(0.758086\pi\)
\(14\) 0.282218 0.502416i 0.0754260 0.134276i
\(15\) 0.402244 + 0.166615i 0.103859 + 0.0430198i
\(16\) −1.21643 3.81055i −0.304107 0.952638i
\(17\) −2.42587 + 1.00483i −0.588359 + 0.243706i −0.656944 0.753939i \(-0.728151\pi\)
0.0685856 + 0.997645i \(0.478151\pi\)
\(18\) 0.168034 1.40420i 0.0396060 0.330972i
\(19\) −0.274116 2.78314i −0.0628865 0.638497i −0.974032 0.226412i \(-0.927301\pi\)
0.911145 0.412085i \(-0.135199\pi\)
\(20\) −0.869391 + 0.0490207i −0.194402 + 0.0109614i
\(21\) −0.192082 + 0.359359i −0.0419157 + 0.0784187i
\(22\) 5.69715 5.46359i 1.21464 1.16484i
\(23\) 2.38024 0.473459i 0.496314 0.0987230i 0.0594146 0.998233i \(-0.481077\pi\)
0.436899 + 0.899510i \(0.356077\pi\)
\(24\) 0.916332 + 2.67588i 0.187045 + 0.546212i
\(25\) 0.938470 4.71801i 0.187694 0.943602i
\(26\) −1.22748 0.270977i −0.240728 0.0531429i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) 0.0340950 0.814233i 0.00644334 0.153876i
\(29\) −2.19967 + 7.25133i −0.408468 + 1.34654i 0.475798 + 0.879555i \(0.342159\pi\)
−0.884266 + 0.466984i \(0.845341\pi\)
\(30\) 0.613892 0.0475178i 0.112081 0.00867553i
\(31\) 6.54326 + 6.54326i 1.17520 + 1.17520i 0.980952 + 0.194252i \(0.0622278\pi\)
0.194252 + 0.980952i \(0.437772\pi\)
\(32\) −3.97412 4.02571i −0.702532 0.711652i
\(33\) −3.94678 + 3.94678i −0.687047 + 0.687047i
\(34\) −2.41527 + 2.82054i −0.414215 + 0.483719i
\(35\) −0.169769 0.0514989i −0.0286962 0.00870490i
\(36\) −0.687392 1.87816i −0.114565 0.313027i
\(37\) −8.61002 0.848013i −1.41548 0.139413i −0.638831 0.769347i \(-0.720582\pi\)
−0.776648 + 0.629935i \(0.783082\pi\)
\(38\) −2.12800 3.33372i −0.345207 0.540801i
\(39\) 0.871777 + 0.173407i 0.139596 + 0.0277674i
\(40\) −1.06482 + 0.618580i −0.168363 + 0.0978061i
\(41\) 1.68923 + 8.49234i 0.263814 + 1.32628i 0.854530 + 0.519402i \(0.173845\pi\)
−0.590717 + 0.806879i \(0.701155\pi\)
\(42\) −0.0120570 + 0.576128i −0.00186044 + 0.0888985i
\(43\) −3.39302 1.81361i −0.517431 0.276573i 0.191942 0.981406i \(-0.438522\pi\)
−0.709373 + 0.704834i \(0.751022\pi\)
\(44\) 3.68459 10.5376i 0.555473 1.58860i
\(45\) −0.433289 + 0.0426753i −0.0645910 + 0.00636165i
\(46\) 2.69803 2.12132i 0.397803 0.312772i
\(47\) 2.17271 + 5.24538i 0.316922 + 0.765117i 0.999414 + 0.0342243i \(0.0108960\pi\)
−0.682492 + 0.730893i \(0.739104\pi\)
\(48\) 2.86907 + 2.78719i 0.414115 + 0.402296i
\(49\) −2.61525 + 6.31376i −0.373606 + 0.901966i
\(50\) −1.83816 6.54995i −0.259955 0.926302i
\(51\) 1.66575 2.02972i 0.233252 0.284218i
\(52\) −1.72126 + 0.444419i −0.238696 + 0.0616298i
\(53\) 0.0205226 + 0.0676539i 0.00281899 + 0.00929298i 0.958339 0.285635i \(-0.0922044\pi\)
−0.955520 + 0.294928i \(0.904704\pi\)
\(54\) 0.513740 + 1.31760i 0.0699112 + 0.179303i
\(55\) −2.02059 1.35012i −0.272457 0.182050i
\(56\) −0.478456 1.04850i −0.0639364 0.140112i
\(57\) 1.55371 + 2.32530i 0.205794 + 0.307993i
\(58\) 1.87029 + 10.5519i 0.245581 + 1.38553i
\(59\) −2.24028 + 1.83855i −0.291660 + 0.239359i −0.768832 0.639451i \(-0.779162\pi\)
0.477172 + 0.878810i \(0.341662\pi\)
\(60\) 0.743626 0.453060i 0.0960017 0.0584898i
\(61\) −2.98198 5.57890i −0.381804 0.714304i 0.615465 0.788164i \(-0.288968\pi\)
−0.997269 + 0.0738598i \(0.976468\pi\)
\(62\) 12.4408 + 4.06000i 1.57998 + 0.515621i
\(63\) 0.407473i 0.0513368i
\(64\) −7.58910 2.53094i −0.948637 0.316367i
\(65\) 0.386995i 0.0480008i
\(66\) −2.44893 + 7.50407i −0.301442 + 0.923688i
\(67\) −3.71158 6.94388i −0.453442 0.848330i −0.999941 0.0108705i \(-0.996540\pi\)
0.546499 0.837460i \(-0.315960\pi\)
\(68\) −1.23910 + 5.10320i −0.150263 + 0.618854i
\(69\) −1.87600 + 1.53959i −0.225843 + 0.185345i
\(70\) −0.247042 + 0.0437875i −0.0295272 + 0.00523361i
\(71\) 5.59391 + 8.37188i 0.663875 + 0.993560i 0.998685 + 0.0512737i \(0.0163281\pi\)
−0.334809 + 0.942286i \(0.608672\pi\)
\(72\) −2.06953 1.92796i −0.243897 0.227212i
\(73\) 8.63592 + 5.77034i 1.01076 + 0.675367i 0.946546 0.322569i \(-0.104546\pi\)
0.0642124 + 0.997936i \(0.479546\pi\)
\(74\) −11.3995 + 4.44472i −1.32516 + 0.516688i
\(75\) 1.39640 + 4.60330i 0.161242 + 0.531544i
\(76\) −4.81815 2.84069i −0.552680 0.325850i
\(77\) 1.44283 1.75810i 0.164426 0.200354i
\(78\) 1.21028 0.339649i 0.137037 0.0384576i
\(79\) −1.25986 + 3.04156i −0.141745 + 0.342202i −0.978770 0.204962i \(-0.934293\pi\)
0.837025 + 0.547165i \(0.184293\pi\)
\(80\) −0.946487 + 1.46189i −0.105820 + 0.163445i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 7.56857 + 9.62619i 0.835808 + 1.06303i
\(83\) −0.917680 + 0.0903836i −0.100728 + 0.00992089i −0.148256 0.988949i \(-0.547366\pi\)
0.0475273 + 0.998870i \(0.484866\pi\)
\(84\) 0.353758 + 0.734162i 0.0385981 + 0.0801036i
\(85\) 1.00822 + 0.538905i 0.109357 + 0.0584525i
\(86\) −5.43972 0.113841i −0.586580 0.0122758i
\(87\) −1.47832 7.43202i −0.158493 0.796796i
\(88\) −2.10251 15.6465i −0.224128 1.66792i
\(89\) −6.22319 1.23787i −0.659657 0.131214i −0.146100 0.989270i \(-0.546672\pi\)
−0.513556 + 0.858056i \(0.671672\pi\)
\(90\) −0.519005 + 0.331294i −0.0547079 + 0.0349214i
\(91\) −0.360441 0.0355003i −0.0377845 0.00372145i
\(92\) 2.04343 4.40263i 0.213042 0.459006i
\(93\) −8.85511 2.68617i −0.918232 0.278543i
\(94\) 6.09878 + 5.22247i 0.629041 + 0.538656i
\(95\) −0.860977 + 0.860977i −0.0883344 + 0.0883344i
\(96\) 5.40257 + 1.67697i 0.551398 + 0.171155i
\(97\) −9.59489 9.59489i −0.974213 0.974213i 0.0254628 0.999676i \(-0.491894\pi\)
−0.999676 + 0.0254628i \(0.991894\pi\)
\(98\) 0.745856 + 9.63586i 0.0753428 + 0.973369i
\(99\) 1.62025 5.34125i 0.162841 0.536816i
\(100\) −6.51242 7.08165i −0.651242 0.708165i
\(101\) −1.89083 + 19.1979i −0.188145 + 1.91027i 0.185416 + 0.982660i \(0.440637\pi\)
−0.373560 + 0.927606i \(0.621863\pi\)
\(102\) 0.800483 3.62605i 0.0792596 0.359032i
\(103\) −0.289447 + 1.45515i −0.0285201 + 0.143380i −0.992422 0.122878i \(-0.960787\pi\)
0.963902 + 0.266259i \(0.0857875\pi\)
\(104\) −1.88573 + 1.66269i −0.184911 + 0.163040i
\(105\) 0.173999 0.0346106i 0.0169806 0.00337765i
\(106\) 0.0692034 + 0.0721619i 0.00672163 + 0.00700898i
\(107\) 1.76083 3.29427i 0.170225 0.318469i −0.782314 0.622884i \(-0.785961\pi\)
0.952540 + 0.304415i \(0.0984608\pi\)
\(108\) 1.49159 + 1.33236i 0.143528 + 0.128206i
\(109\) −0.123447 1.25337i −0.0118240 0.120052i 0.987461 0.157864i \(-0.0504609\pi\)
−0.999285 + 0.0378129i \(0.987961\pi\)
\(110\) −3.41240 0.408347i −0.325360 0.0389344i
\(111\) 7.99311 3.31086i 0.758673 0.314252i
\(112\) −1.27476 1.01565i −0.120454 0.0959696i
\(113\) 5.98053 + 2.47722i 0.562601 + 0.233037i 0.645814 0.763495i \(-0.276518\pi\)
−0.0832129 + 0.996532i \(0.526518\pi\)
\(114\) 3.44823 + 1.93695i 0.322956 + 0.181412i
\(115\) −0.816782 0.670316i −0.0761653 0.0625073i
\(116\) 9.11584 + 12.1071i 0.846384 + 1.12412i
\(117\) −0.850582 + 0.258021i −0.0786363 + 0.0238541i
\(118\) −1.64734 + 3.75294i −0.151650 + 0.345486i
\(119\) −0.594415 + 0.889605i −0.0544899 + 0.0815499i
\(120\) 0.647492 1.04749i 0.0591077 0.0956225i
\(121\) 16.7576 11.1971i 1.52342 1.01791i
\(122\) −7.33279 5.12473i −0.663879 0.463971i
\(123\) −5.49303 6.69328i −0.495290 0.603513i
\(124\) 18.2867 2.84799i 1.64219 0.255757i
\(125\) −3.76697 + 2.01349i −0.336928 + 0.180092i
\(126\) −0.260952 0.513783i −0.0232474 0.0457715i
\(127\) 6.52238 0.578768 0.289384 0.957213i \(-0.406550\pi\)
0.289384 + 0.957213i \(0.406550\pi\)
\(128\) −11.1899 + 1.66890i −0.989060 + 0.147512i
\(129\) 3.84731 0.338737
\(130\) 0.247837 + 0.487962i 0.0217368 + 0.0427971i
\(131\) 11.7410 6.27569i 1.02581 0.548310i 0.129431 0.991588i \(-0.458685\pi\)
0.896384 + 0.443279i \(0.146185\pi\)
\(132\) 1.71786 + 11.0302i 0.149521 + 0.960057i
\(133\) −0.722920 0.880880i −0.0626851 0.0763820i
\(134\) −9.12690 6.37860i −0.788444 0.551027i
\(135\) 0.362010 0.241887i 0.0311569 0.0208184i
\(136\) 1.70578 + 7.22816i 0.146269 + 0.619810i
\(137\) 4.97167 7.44063i 0.424758 0.635696i −0.555940 0.831222i \(-0.687642\pi\)
0.980698 + 0.195527i \(0.0626416\pi\)
\(138\) −1.37947 + 3.14268i −0.117428 + 0.267523i
\(139\) 7.24945 2.19910i 0.614891 0.186525i 0.0325502 0.999470i \(-0.489637\pi\)
0.582340 + 0.812945i \(0.302137\pi\)
\(140\) −0.283454 + 0.213421i −0.0239562 + 0.0180374i
\(141\) −4.38881 3.60180i −0.369604 0.303327i
\(142\) 12.4148 + 6.97369i 1.04183 + 0.585219i
\(143\) −4.58358 1.89858i −0.383298 0.158767i
\(144\) −3.84417 1.10561i −0.320347 0.0921339i
\(145\) 3.04805 1.26254i 0.253127 0.104849i
\(146\) 14.5844 + 1.74526i 1.20702 + 0.144439i
\(147\) −0.669846 6.80106i −0.0552479 0.560942i
\(148\) −11.5271 + 12.9047i −0.947524 + 1.06076i
\(149\) 0.591865 1.10730i 0.0484875 0.0907137i −0.856510 0.516130i \(-0.827372\pi\)
0.904998 + 0.425416i \(0.139872\pi\)
\(150\) 4.70874 + 4.91004i 0.384467 + 0.400903i
\(151\) −11.3723 + 2.26210i −0.925466 + 0.184087i −0.634746 0.772721i \(-0.718895\pi\)
−0.290721 + 0.956808i \(0.593895\pi\)
\(152\) −7.89443 0.496216i −0.640323 0.0402484i
\(153\) −0.512256 + 2.57528i −0.0414134 + 0.208199i
\(154\) 0.693359 3.14080i 0.0558724 0.253092i
\(155\) 0.394898 4.00947i 0.0317190 0.322048i
\(156\) 1.30852 1.20334i 0.104766 0.0963444i
\(157\) 3.82040 12.5942i 0.304901 1.00513i −0.661899 0.749593i \(-0.730249\pi\)
0.966801 0.255532i \(-0.0822507\pi\)
\(158\) 0.359305 + 4.64193i 0.0285848 + 0.369293i
\(159\) −0.0499911 0.0499911i −0.00396456 0.00396456i
\(160\) −0.257208 + 2.44945i −0.0203341 + 0.193646i
\(161\) 0.699247 0.699247i 0.0551084 0.0551084i
\(162\) −1.07419 0.919844i −0.0843964 0.0722698i
\(163\) 9.49178 + 2.87930i 0.743454 + 0.225524i 0.639215 0.769028i \(-0.279259\pi\)
0.104239 + 0.994552i \(0.466759\pi\)
\(164\) 15.7080 + 7.29065i 1.22659 + 0.569304i
\(165\) 2.41844 + 0.238196i 0.188276 + 0.0185435i
\(166\) −1.09922 + 0.701660i −0.0853161 + 0.0544594i
\(167\) −15.8067 3.14416i −1.22316 0.243302i −0.459065 0.888403i \(-0.651815\pi\)
−0.764098 + 0.645101i \(0.776815\pi\)
\(168\) 0.916221 + 0.699154i 0.0706880 + 0.0539409i
\(169\) −2.38204 11.9753i −0.183234 0.921179i
\(170\) 1.61639 + 0.0338272i 0.123971 + 0.00259443i
\(171\) −2.46639 1.31831i −0.188610 0.100814i
\(172\) −6.93186 + 3.34013i −0.528549 + 0.254683i
\(173\) −10.7992 + 1.06362i −0.821045 + 0.0808659i −0.499811 0.866134i \(-0.666597\pi\)
−0.321233 + 0.947000i \(0.604097\pi\)
\(174\) −6.62358 8.42430i −0.502132 0.638644i
\(175\) −0.750108 1.81092i −0.0567028 0.136893i
\(176\) −12.6713 18.3822i −0.955134 1.38561i
\(177\) 1.10907 2.67752i 0.0833625 0.201255i
\(178\) −8.63957 + 2.42459i −0.647563 + 0.181730i
\(179\) 15.8582 19.3232i 1.18529 1.44429i 0.316866 0.948470i \(-0.397369\pi\)
0.868428 0.495815i \(-0.165131\pi\)
\(180\) −0.442248 + 0.750106i −0.0329632 + 0.0559096i
\(181\) −1.85088 6.10154i −0.137575 0.453524i 0.860897 0.508779i \(-0.169903\pi\)
−0.998472 + 0.0552549i \(0.982403\pi\)
\(182\) −0.477215 + 0.186069i −0.0353735 + 0.0137924i
\(183\) 5.25975 + 3.51445i 0.388812 + 0.259796i
\(184\) −0.242949 6.85992i −0.0179104 0.505720i
\(185\) 2.09273 + 3.13200i 0.153861 + 0.230269i
\(186\) −12.8857 + 2.28394i −0.944823 + 0.167467i
\(187\) −11.3291 + 9.29754i −0.828465 + 0.679903i
\(188\) 11.0345 + 2.67927i 0.804773 + 0.195406i
\(189\) 0.192082 + 0.359359i 0.0139719 + 0.0261396i
\(190\) −0.534225 + 1.63699i −0.0387567 + 0.118760i
\(191\) 23.5406i 1.70334i 0.524079 + 0.851669i \(0.324409\pi\)
−0.524079 + 0.851669i \(0.675591\pi\)
\(192\) 7.88606 1.34539i 0.569127 0.0970951i
\(193\) 5.08658i 0.366140i 0.983100 + 0.183070i \(0.0586035\pi\)
−0.983100 + 0.183070i \(0.941396\pi\)
\(194\) −18.2429 5.95350i −1.30976 0.427436i
\(195\) −0.182428 0.341299i −0.0130640 0.0244410i
\(196\) 7.11139 + 11.6722i 0.507957 + 0.833729i
\(197\) −5.15617 + 4.23156i −0.367362 + 0.301486i −0.799905 0.600127i \(-0.795117\pi\)
0.432542 + 0.901614i \(0.357617\pi\)
\(198\) −1.37764 7.77242i −0.0979044 0.552362i
\(199\) −9.66974 14.4718i −0.685470 1.02588i −0.997132 0.0756849i \(-0.975886\pi\)
0.311662 0.950193i \(-0.399114\pi\)
\(200\) −12.7467 4.75861i −0.901327 0.336485i
\(201\) 6.54665 + 4.37433i 0.461765 + 0.308541i
\(202\) 9.91047 + 25.4176i 0.697299 + 1.78838i
\(203\) 0.896306 + 2.95472i 0.0629083 + 0.207381i
\(204\) −1.31284 5.08473i −0.0919174 0.356002i
\(205\) 2.39159 2.91416i 0.167036 0.203534i
\(206\) 0.566934 + 2.02016i 0.0395001 + 0.140751i
\(207\) 0.928723 2.24214i 0.0645507 0.155839i
\(208\) −1.31291 + 3.30413i −0.0910339 + 0.229100i
\(209\) −5.97351 14.4213i −0.413197 0.997545i
\(210\) 0.197231 0.155072i 0.0136102 0.0107010i
\(211\) −20.8206 + 2.05065i −1.43335 + 0.141173i −0.784682 0.619898i \(-0.787174\pi\)
−0.648669 + 0.761071i \(0.724674\pi\)
\(212\) 0.133472 + 0.0466701i 0.00916690 + 0.00320532i
\(213\) −8.87987 4.74639i −0.608439 0.325217i
\(214\) 0.110528 5.28141i 0.00755551 0.361030i
\(215\) 0.326789 + 1.64288i 0.0222868 + 0.112043i
\(216\) 2.73400 + 0.724737i 0.186025 + 0.0493121i
\(217\) 3.69813 + 0.735604i 0.251045 + 0.0499360i
\(218\) −0.958333 1.50132i −0.0649065 0.101682i
\(219\) −10.3363 1.01804i −0.698464 0.0687927i
\(220\) −4.56421 + 1.67046i −0.307719 + 0.112623i
\(221\) 2.23340 + 0.677496i 0.150235 + 0.0455733i
\(222\) 7.95820 9.29356i 0.534119 0.623743i
\(223\) −6.13435 + 6.13435i −0.410786 + 0.410786i −0.882012 0.471226i \(-0.843812\pi\)
0.471226 + 0.882012i \(0.343812\pi\)
\(224\) −2.25778 0.464255i −0.150854 0.0310194i
\(225\) −3.40149 3.40149i −0.226766 0.226766i
\(226\) 9.12730 0.706491i 0.607139 0.0469951i
\(227\) 0.860887 2.83796i 0.0571391 0.188362i −0.923725 0.383056i \(-0.874871\pi\)
0.980864 + 0.194694i \(0.0623715\pi\)
\(228\) 5.58833 + 0.234004i 0.370096 + 0.0154973i
\(229\) −0.655554 + 6.65595i −0.0433202 + 0.439838i 0.948921 + 0.315513i \(0.102177\pi\)
−0.992242 + 0.124325i \(0.960323\pi\)
\(230\) −1.45916 0.322123i −0.0962142 0.0212401i
\(231\) −0.443704 + 2.23065i −0.0291936 + 0.146766i
\(232\) 19.2477 + 9.42799i 1.26368 + 0.618978i
\(233\) 17.6666 3.51411i 1.15738 0.230217i 0.421177 0.906979i \(-0.361617\pi\)
0.736202 + 0.676762i \(0.236617\pi\)
\(234\) −0.907259 + 0.870064i −0.0593094 + 0.0568778i
\(235\) 1.16526 2.18005i 0.0760131 0.142210i
\(236\) 0.326305 + 5.78707i 0.0212406 + 0.376706i
\(237\) −0.322688 3.27631i −0.0209609 0.212819i
\(238\) −0.179783 + 1.50237i −0.0116536 + 0.0973845i
\(239\) 10.6322 4.40400i 0.687739 0.284871i −0.0113186 0.999936i \(-0.503603\pi\)
0.699058 + 0.715065i \(0.253603\pi\)
\(240\) 0.145594 1.73545i 0.00939808 0.112023i
\(241\) 14.8203 + 6.13875i 0.954656 + 0.395432i 0.804979 0.593303i \(-0.202177\pi\)
0.149677 + 0.988735i \(0.452177\pi\)
\(242\) 13.9589 24.8502i 0.897311 1.59743i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) −12.5279 1.76576i −0.802014 0.113041i
\(245\) 2.84729 0.863716i 0.181907 0.0551808i
\(246\) −11.2126 4.92174i −0.714891 0.313799i
\(247\) −1.38103 + 2.06685i −0.0878727 + 0.131511i
\(248\) 21.2338 15.3021i 1.34835 0.971683i
\(249\) 0.766715 0.512303i 0.0485886 0.0324659i
\(250\) −3.46031 + 4.95123i −0.218849 + 0.313143i
\(251\) 0.168138 + 0.204877i 0.0106128 + 0.0129317i 0.778290 0.627905i \(-0.216087\pi\)
−0.767677 + 0.640837i \(0.778587\pi\)
\(252\) −0.658068 0.480713i −0.0414544 0.0302821i
\(253\) 11.9463 6.38545i 0.751059 0.401449i
\(254\) 8.22407 4.17702i 0.516024 0.262090i
\(255\) −1.14321 −0.0715905
\(256\) −13.0406 + 9.27052i −0.815038 + 0.579407i
\(257\) −15.5574 −0.970446 −0.485223 0.874390i \(-0.661262\pi\)
−0.485223 + 0.874390i \(0.661262\pi\)
\(258\) 4.85107 2.46387i 0.302015 0.153394i
\(259\) −3.10906 + 1.66183i −0.193188 + 0.103261i
\(260\) 0.624996 + 0.456554i 0.0387606 + 0.0283143i
\(261\) 4.80719 + 5.85758i 0.297558 + 0.362575i
\(262\) 10.7852 15.4321i 0.666311 0.953399i
\(263\) 15.0190 10.0354i 0.926113 0.618809i 0.00161607 0.999999i \(-0.499486\pi\)
0.924497 + 0.381190i \(0.124486\pi\)
\(264\) 9.22996 + 12.8079i 0.568065 + 0.788269i
\(265\) 0.0171010 0.0255934i 0.00105051 0.00157219i
\(266\) −1.47566 0.647734i −0.0904784 0.0397151i
\(267\) 6.07189 1.84189i 0.371594 0.112722i
\(268\) −15.5930 2.19778i −0.952497 0.134251i
\(269\) 7.58187 + 6.22228i 0.462275 + 0.379379i 0.836507 0.547956i \(-0.184594\pi\)
−0.374233 + 0.927335i \(0.622094\pi\)
\(270\) 0.301551 0.536832i 0.0183518 0.0326706i
\(271\) 15.0603 + 6.23816i 0.914846 + 0.378941i 0.789910 0.613223i \(-0.210127\pi\)
0.124936 + 0.992165i \(0.460127\pi\)
\(272\) 6.77983 + 8.02159i 0.411088 + 0.486380i
\(273\) 0.334615 0.138602i 0.0202518 0.00838859i
\(274\) 1.50370 12.5658i 0.0908417 0.759129i
\(275\) −2.63175 26.7206i −0.158701 1.61131i
\(276\) 0.273245 + 4.84604i 0.0164474 + 0.291697i
\(277\) 2.08129 3.89382i 0.125053 0.233957i −0.811603 0.584210i \(-0.801404\pi\)
0.936655 + 0.350253i \(0.113904\pi\)
\(278\) 7.73251 7.41549i 0.463765 0.444752i
\(279\) 9.07576 1.80528i 0.543351 0.108079i
\(280\) −0.220729 + 0.450631i −0.0131911 + 0.0269303i
\(281\) 3.99247 20.0715i 0.238171 1.19736i −0.657780 0.753211i \(-0.728504\pi\)
0.895950 0.444154i \(-0.146496\pi\)
\(282\) −7.84050 1.73086i −0.466895 0.103071i
\(283\) −2.51246 + 25.5095i −0.149350 + 1.51638i 0.569950 + 0.821680i \(0.306963\pi\)
−0.719300 + 0.694700i \(0.755537\pi\)
\(284\) 20.1199 + 0.842495i 1.19390 + 0.0499929i
\(285\) 0.353452 1.16518i 0.0209367 0.0690190i
\(286\) −6.99531 + 0.541467i −0.413642 + 0.0320176i
\(287\) 2.49481 + 2.49481i 0.147264 + 0.147264i
\(288\) −5.55516 + 1.06780i −0.327341 + 0.0629206i
\(289\) −7.14567 + 7.14567i −0.420333 + 0.420333i
\(290\) 3.03474 3.54396i 0.178206 0.208108i
\(291\) 12.9849 + 3.93894i 0.761190 + 0.230905i
\(292\) 19.5072 7.13948i 1.14157 0.417807i
\(293\) −10.9732 1.08077i −0.641064 0.0631393i −0.227738 0.973722i \(-0.573133\pi\)
−0.413326 + 0.910583i \(0.635633\pi\)
\(294\) −5.20010 8.14648i −0.303276 0.475112i
\(295\) 1.23756 + 0.246166i 0.0720535 + 0.0143323i
\(296\) −6.27020 + 23.6537i −0.364448 + 1.37484i
\(297\) 1.08891 + 5.47434i 0.0631852 + 0.317654i
\(298\) 0.0371516 1.77524i 0.00215213 0.102837i
\(299\) −1.90243 1.01687i −0.110020 0.0588070i
\(300\) 9.08170 + 3.17553i 0.524332 + 0.183339i
\(301\) −1.56013 + 0.153659i −0.0899242 + 0.00885676i
\(302\) −12.8907 + 10.1353i −0.741776 + 0.583219i
\(303\) −7.38228 17.8224i −0.424101 1.02387i
\(304\) −10.2719 + 4.43002i −0.589133 + 0.254079i
\(305\) −1.05398 + 2.54453i −0.0603507 + 0.145700i
\(306\) 1.00334 + 3.57523i 0.0573574 + 0.204383i
\(307\) −14.8658 + 18.1140i −0.848437 + 1.03382i 0.150540 + 0.988604i \(0.451899\pi\)
−0.998977 + 0.0452194i \(0.985601\pi\)
\(308\) −1.13715 4.40427i −0.0647953 0.250956i
\(309\) −0.430683 1.41977i −0.0245007 0.0807680i
\(310\) −2.06979 5.30844i −0.117556 0.301499i
\(311\) −27.9260 18.6596i −1.58354 1.05809i −0.961391 0.275186i \(-0.911261\pi\)
−0.622147 0.782901i \(-0.713739\pi\)
\(312\) 0.879279 2.35529i 0.0497794 0.133342i
\(313\) −0.247527 0.370451i −0.0139911 0.0209391i 0.824408 0.565996i \(-0.191508\pi\)
−0.838399 + 0.545057i \(0.816508\pi\)
\(314\) −3.24834 18.3267i −0.183315 1.03423i
\(315\) −0.137138 + 0.112547i −0.00772687 + 0.00634128i
\(316\) 3.42581 + 5.62291i 0.192717 + 0.316314i
\(317\) −10.2393 19.1563i −0.575094 1.07593i −0.986390 0.164424i \(-0.947423\pi\)
0.411295 0.911502i \(-0.365077\pi\)
\(318\) −0.0950489 0.0310188i −0.00533008 0.00173945i
\(319\) 42.2952i 2.36808i
\(320\) 1.24435 + 3.25323i 0.0695611 + 0.181861i
\(321\) 3.73534i 0.208486i
\(322\) 0.433874 1.32949i 0.0241788 0.0740895i
\(323\) 3.46155 + 6.47610i 0.192606 + 0.360340i
\(324\) −1.94353 0.471905i −0.107974 0.0262170i
\(325\) −3.30523 + 2.71253i −0.183341 + 0.150464i
\(326\) 13.8121 2.44816i 0.764983 0.135591i
\(327\) 0.699707 + 1.04719i 0.0386939 + 0.0579095i
\(328\) 24.4752 0.866806i 1.35142 0.0478614i
\(329\) 1.92357 + 1.28529i 0.106050 + 0.0708601i
\(330\) 3.20196 1.24846i 0.176262 0.0687257i
\(331\) 5.45182 + 17.9722i 0.299659 + 0.987844i 0.969449 + 0.245293i \(0.0788841\pi\)
−0.669790 + 0.742551i \(0.733616\pi\)
\(332\) −0.936655 + 1.58868i −0.0514056 + 0.0871901i
\(333\) −5.48857 + 6.68784i −0.300772 + 0.366491i
\(334\) −21.9443 + 6.15839i −1.20074 + 0.336972i
\(335\) −1.31186 + 3.16710i −0.0716744 + 0.173037i
\(336\) 1.60301 + 0.294803i 0.0874514 + 0.0160828i
\(337\) 12.2286 + 29.5225i 0.666136 + 1.60820i 0.788019 + 0.615651i \(0.211107\pi\)
−0.121883 + 0.992545i \(0.538893\pi\)
\(338\) −10.6727 13.5742i −0.580517 0.738339i
\(339\) −6.44211 + 0.634492i −0.349887 + 0.0344609i
\(340\) 2.05977 0.992504i 0.111707 0.0538261i
\(341\) 45.5509 + 24.3475i 2.46672 + 1.31849i
\(342\) −3.95414 0.0827510i −0.213815 0.00447466i
\(343\) 1.09972 + 5.52866i 0.0593792 + 0.298520i
\(344\) −6.60131 + 8.65083i −0.355919 + 0.466422i
\(345\) 1.03632 + 0.206137i 0.0557937 + 0.0110981i
\(346\) −12.9355 + 8.25706i −0.695417 + 0.443902i
\(347\) 5.39600 + 0.531460i 0.289673 + 0.0285303i 0.241810 0.970324i \(-0.422259\pi\)
0.0478627 + 0.998854i \(0.484759\pi\)
\(348\) −13.7467 6.38037i −0.736901 0.342024i
\(349\) −19.2413 5.83677i −1.02996 0.312435i −0.270315 0.962772i \(-0.587128\pi\)
−0.759646 + 0.650337i \(0.774628\pi\)
\(350\) −2.10555 1.80301i −0.112546 0.0963750i
\(351\) 0.628516 0.628516i 0.0335477 0.0335477i
\(352\) −27.7495 15.0632i −1.47905 0.802874i
\(353\) −17.8202 17.8202i −0.948475 0.948475i 0.0502612 0.998736i \(-0.483995\pi\)
−0.998736 + 0.0502612i \(0.983995\pi\)
\(354\) −0.316301 4.08635i −0.0168112 0.217187i
\(355\) 1.27255 4.19504i 0.0675400 0.222649i
\(356\) −9.34090 + 8.59006i −0.495067 + 0.455272i
\(357\) 0.104870 1.06477i 0.00555033 0.0563534i
\(358\) 7.62070 34.5204i 0.402766 1.82446i
\(359\) −6.45238 + 32.4383i −0.340544 + 1.71203i 0.308454 + 0.951239i \(0.400188\pi\)
−0.648998 + 0.760790i \(0.724812\pi\)
\(360\) −0.0772526 + 1.22903i −0.00407157 + 0.0647757i
\(361\) 10.9642 2.18091i 0.577061 0.114785i
\(362\) −6.24129 6.50810i −0.328035 0.342058i
\(363\) −9.50061 + 17.7744i −0.498653 + 0.932914i
\(364\) −0.482560 + 0.540230i −0.0252930 + 0.0283157i
\(365\) −0.443240 4.50029i −0.0232002 0.235556i
\(366\) 8.88272 + 1.06296i 0.464307 + 0.0555617i
\(367\) 7.54907 3.12693i 0.394058 0.163224i −0.176851 0.984238i \(-0.556591\pi\)
0.570909 + 0.821013i \(0.306591\pi\)
\(368\) −4.69953 8.49409i −0.244980 0.442785i
\(369\) 7.99961 + 3.31355i 0.416443 + 0.172496i
\(370\) 4.64450 + 2.60892i 0.241456 + 0.135631i
\(371\) 0.0222686 + 0.0182754i 0.00115613 + 0.000948809i
\(372\) −14.7849 + 11.1320i −0.766560 + 0.577167i
\(373\) −2.46272 + 0.747059i −0.127515 + 0.0386813i −0.353397 0.935473i \(-0.614974\pi\)
0.225882 + 0.974155i \(0.427474\pi\)
\(374\) −8.33057 + 18.9786i −0.430764 + 0.981359i
\(375\) 2.37302 3.55148i 0.122542 0.183398i
\(376\) 15.6292 3.68835i 0.806017 0.190212i
\(377\) 5.60029 3.74199i 0.288430 0.192722i
\(378\) 0.472335 + 0.330105i 0.0242943 + 0.0169788i
\(379\) −22.1580 26.9996i −1.13818 1.38688i −0.910688 0.413095i \(-0.864448\pi\)
−0.227491 0.973780i \(-0.573052\pi\)
\(380\) 0.374746 + 2.40620i 0.0192240 + 0.123436i
\(381\) −5.75223 + 3.07463i −0.294695 + 0.157518i
\(382\) 15.0757 + 29.6824i 0.771342 + 1.51868i
\(383\) −22.8022 −1.16514 −0.582569 0.812781i \(-0.697952\pi\)
−0.582569 + 0.812781i \(0.697952\pi\)
\(384\) 9.08193 6.74674i 0.463460 0.344293i
\(385\) −0.990220 −0.0504663
\(386\) 3.25752 + 6.41367i 0.165803 + 0.326447i
\(387\) −3.39302 + 1.81361i −0.172477 + 0.0921909i
\(388\) −26.8152 + 4.17624i −1.36133 + 0.212016i
\(389\) 22.1708 + 27.0152i 1.12411 + 1.36973i 0.920532 + 0.390666i \(0.127755\pi\)
0.203573 + 0.979060i \(0.434745\pi\)
\(390\) −0.448597 0.313515i −0.0227156 0.0158754i
\(391\) −5.29839 + 3.54027i −0.267951 + 0.179039i
\(392\) 16.4418 + 10.1633i 0.830436 + 0.513322i
\(393\) −7.39629 + 11.0693i −0.373093 + 0.558374i
\(394\) −3.79147 + 8.63766i −0.191012 + 0.435159i
\(395\) 1.37164 0.416083i 0.0690147 0.0209354i
\(396\) −6.71463 8.91799i −0.337423 0.448146i
\(397\) 29.6874 + 24.3638i 1.48997 + 1.22279i 0.914258 + 0.405131i \(0.132774\pi\)
0.575710 + 0.817654i \(0.304726\pi\)
\(398\) −21.4605 12.0548i −1.07572 0.604255i
\(399\) 1.05280 + 0.436085i 0.0527060 + 0.0218316i
\(400\) −19.1198 + 2.16302i −0.955990 + 0.108151i
\(401\) −13.8586 + 5.74042i −0.692065 + 0.286663i −0.700860 0.713298i \(-0.747200\pi\)
0.00879503 + 0.999961i \(0.497200\pi\)
\(402\) 11.0561 + 1.32303i 0.551426 + 0.0659868i
\(403\) −0.806199 8.18547i −0.0401596 0.407748i
\(404\) 28.7739 + 25.7023i 1.43156 + 1.27874i
\(405\) −0.205239 + 0.383976i −0.0101984 + 0.0190799i
\(406\) 3.02240 + 3.15161i 0.149999 + 0.156412i
\(407\) −47.3623 + 9.42094i −2.34766 + 0.466979i
\(408\) −4.91169 5.57057i −0.243165 0.275784i
\(409\) 1.88885 9.49591i 0.0933978 0.469543i −0.905573 0.424190i \(-0.860559\pi\)
0.998971 0.0453526i \(-0.0144411\pi\)
\(410\) 1.14929 5.20607i 0.0567592 0.257109i
\(411\) −0.877133 + 8.90568i −0.0432658 + 0.439285i
\(412\) 2.00859 + 2.18415i 0.0989560 + 0.107606i
\(413\) −0.342800 + 1.13006i −0.0168681 + 0.0556067i
\(414\) −0.264868 3.42188i −0.0130175 0.168176i
\(415\) 0.283888 + 0.283888i 0.0139355 + 0.0139355i
\(416\) 0.460566 + 5.00699i 0.0225811 + 0.245488i
\(417\) −5.35680 + 5.35680i −0.262324 + 0.262324i
\(418\) −16.7676 14.3584i −0.820132 0.702290i
\(419\) −0.757046 0.229647i −0.0369841 0.0112190i 0.271738 0.962371i \(-0.412401\pi\)
−0.308723 + 0.951152i \(0.599901\pi\)
\(420\) 0.149378 0.321840i 0.00728890 0.0157042i
\(421\) −25.6124 2.52260i −1.24827 0.122944i −0.547792 0.836615i \(-0.684531\pi\)
−0.700482 + 0.713670i \(0.747031\pi\)
\(422\) −24.9395 + 15.9195i −1.21403 + 0.774949i
\(423\) 5.56846 + 1.10764i 0.270748 + 0.0538551i
\(424\) 0.198183 0.0266310i 0.00962463 0.00129332i
\(425\) 2.46418 + 12.3883i 0.119530 + 0.600918i
\(426\) −14.2363 0.297932i −0.689750 0.0144349i
\(427\) −2.27325 1.21508i −0.110010 0.0588018i
\(428\) −3.24292 6.73011i −0.156753 0.325312i
\(429\) 4.93734 0.486286i 0.238377 0.0234781i
\(430\) 1.46417 + 1.86222i 0.0706085 + 0.0898045i
\(431\) 1.60451 + 3.87362i 0.0772864 + 0.186586i 0.957800 0.287434i \(-0.0928023\pi\)
−0.880514 + 0.474020i \(0.842802\pi\)
\(432\) 3.91143 0.837070i 0.188189 0.0402736i
\(433\) 14.1340 34.1225i 0.679237 1.63982i −0.0861731 0.996280i \(-0.527464\pi\)
0.765410 0.643543i \(-0.222536\pi\)
\(434\) 5.13406 1.44081i 0.246443 0.0691611i
\(435\) −2.09298 + 2.55031i −0.100351 + 0.122278i
\(436\) −2.16983 1.27929i −0.103916 0.0612669i
\(437\) −1.97017 6.49477i −0.0942458 0.310687i
\(438\) −13.6850 + 5.33588i −0.653897 + 0.254958i
\(439\) −17.1233 11.4414i −0.817249 0.546068i 0.0752252 0.997167i \(-0.476032\pi\)
−0.892474 + 0.451098i \(0.851032\pi\)
\(440\) −4.68522 + 5.02927i −0.223359 + 0.239761i
\(441\) 3.79675 + 5.68223i 0.180798 + 0.270583i
\(442\) 3.24998 0.576049i 0.154586 0.0273998i
\(443\) −31.1159 + 25.5361i −1.47836 + 1.21326i −0.553558 + 0.832811i \(0.686730\pi\)
−0.924802 + 0.380448i \(0.875770\pi\)
\(444\) 4.08277 16.8148i 0.193760 0.797995i
\(445\) 1.30227 + 2.43637i 0.0617334 + 0.115495i
\(446\) −3.80628 + 11.6633i −0.180233 + 0.552274i
\(447\) 1.25556i 0.0593858i
\(448\) −3.14415 + 0.860535i −0.148547 + 0.0406564i
\(449\) 16.5637i 0.781689i −0.920457 0.390844i \(-0.872183\pi\)
0.920457 0.390844i \(-0.127817\pi\)
\(450\) −6.46731 2.11058i −0.304872 0.0994938i
\(451\) 22.7823 + 42.6227i 1.07278 + 2.00703i
\(452\) 11.0562 6.73606i 0.520038 0.316838i
\(453\) 8.96315 7.35586i 0.421125 0.345609i
\(454\) −0.731979 4.12971i −0.0343535 0.193817i
\(455\) 0.0876080 + 0.131115i 0.00410713 + 0.00614675i
\(456\) 7.19618 3.28379i 0.336992 0.153777i
\(457\) 11.5221 + 7.69885i 0.538983 + 0.360137i 0.795071 0.606517i \(-0.207434\pi\)
−0.256088 + 0.966654i \(0.582434\pi\)
\(458\) 3.43598 + 8.81232i 0.160553 + 0.411773i
\(459\) −0.762211 2.51267i −0.0355770 0.117282i
\(460\) −2.04615 + 0.528302i −0.0954021 + 0.0246322i
\(461\) 16.5954 20.2216i 0.772926 0.941813i −0.226556 0.973998i \(-0.572747\pi\)
0.999482 + 0.0321849i \(0.0102466\pi\)
\(462\) 0.869073 + 3.09678i 0.0404329 + 0.144075i
\(463\) 10.9169 26.3556i 0.507349 1.22485i −0.438054 0.898948i \(-0.644332\pi\)
0.945404 0.325901i \(-0.105668\pi\)
\(464\) 30.3073 0.438768i 1.40698 0.0203693i
\(465\) 1.54178 + 3.72219i 0.0714984 + 0.172612i
\(466\) 20.0254 15.7449i 0.927657 0.729368i
\(467\) 21.7922 2.14635i 1.00842 0.0993211i 0.419707 0.907660i \(-0.362133\pi\)
0.588718 + 0.808339i \(0.299633\pi\)
\(468\) −0.586762 + 1.67808i −0.0271231 + 0.0775695i
\(469\) −2.82945 1.51237i −0.130652 0.0698348i
\(470\) 0.0731437 3.49507i 0.00337387 0.161215i
\(471\) 2.56756 + 12.9080i 0.118307 + 0.594769i
\(472\) 4.11756 + 7.08795i 0.189526 + 0.326249i
\(473\) −21.0615 4.18939i −0.968408 0.192628i
\(474\) −2.50507 3.92445i −0.115062 0.180256i
\(475\) −13.3881 1.31862i −0.614290 0.0605023i
\(476\) 0.735453 + 2.00948i 0.0337094 + 0.0921044i
\(477\) 0.0676539 + 0.0205226i 0.00309766 + 0.000939665i
\(478\) 10.5858 12.3620i 0.484181 0.565425i
\(479\) 25.8571 25.8571i 1.18144 1.18144i 0.202070 0.979371i \(-0.435233\pi\)
0.979371 0.202070i \(-0.0647667\pi\)
\(480\) −0.927824 2.28147i −0.0423492 0.104134i
\(481\) 5.43772 + 5.43772i 0.247939 + 0.247939i
\(482\) 22.6182 1.75074i 1.03023 0.0797442i
\(483\) −0.287058 + 0.946304i −0.0130616 + 0.0430583i
\(484\) 1.68638 40.2731i 0.0766537 1.83059i
\(485\) −0.579070 + 5.87940i −0.0262942 + 0.266970i
\(486\) 1.38096 + 0.304860i 0.0626418 + 0.0138287i
\(487\) 0.911682 4.58334i 0.0413123 0.207691i −0.954616 0.297839i \(-0.903734\pi\)
0.995928 + 0.0901483i \(0.0287341\pi\)
\(488\) −16.9272 + 5.79657i −0.766258 + 0.262399i
\(489\) −9.72830 + 1.93508i −0.439929 + 0.0875073i
\(490\) 3.03702 2.91251i 0.137198 0.131574i
\(491\) 1.49417 2.79540i 0.0674310 0.126155i −0.845947 0.533267i \(-0.820964\pi\)
0.913378 + 0.407112i \(0.133464\pi\)
\(492\) −17.2900 + 0.974898i −0.779492 + 0.0439518i
\(493\) −1.95023 19.8010i −0.0878340 0.891794i
\(494\) −0.417696 + 3.49053i −0.0187930 + 0.157046i
\(495\) −2.24516 + 0.929977i −0.100913 + 0.0417993i
\(496\) 16.9740 32.8928i 0.762156 1.47693i
\(497\) 3.79046 + 1.57006i 0.170025 + 0.0704267i
\(498\) 0.638666 1.13698i 0.0286193 0.0509492i
\(499\) 7.39511 + 6.06901i 0.331051 + 0.271686i 0.785204 0.619237i \(-0.212558\pi\)
−0.454153 + 0.890924i \(0.650058\pi\)
\(500\) −1.19227 + 8.45904i −0.0533200 + 0.378300i
\(501\) 15.4224 4.67835i 0.689024 0.209013i
\(502\) 0.343211 + 0.150651i 0.0153183 + 0.00672389i
\(503\) 5.45720 8.16727i 0.243324 0.364161i −0.689626 0.724166i \(-0.742225\pi\)
0.932950 + 0.360005i \(0.117225\pi\)
\(504\) −1.13761 0.184695i −0.0506733 0.00822697i
\(505\) 6.98347 4.66621i 0.310761 0.207644i
\(506\) 10.9738 15.7020i 0.487845 0.698039i
\(507\) 7.74590 + 9.43841i 0.344008 + 0.419174i
\(508\) 7.69471 10.5336i 0.341398 0.467354i
\(509\) 1.35228 0.722808i 0.0599387 0.0320379i −0.441155 0.897431i \(-0.645431\pi\)
0.501094 + 0.865393i \(0.332931\pi\)
\(510\) −1.44147 + 0.732127i −0.0638295 + 0.0324191i
\(511\) 4.23216 0.187220
\(512\) −10.5059 + 20.0406i −0.464302 + 0.885677i
\(513\) 2.79661 0.123473
\(514\) −19.6164 + 9.96319i −0.865241 + 0.439458i
\(515\) 0.569689 0.304505i 0.0251035 0.0134181i
\(516\) 4.53882 6.21339i 0.199811 0.273529i
\(517\) 20.1038 + 24.4965i 0.884164 + 1.07736i
\(518\) −2.85596 + 4.08649i −0.125484 + 0.179550i
\(519\) 9.02262 6.02872i 0.396049 0.264631i
\(520\) 1.08044 + 0.175413i 0.0473805 + 0.00769236i
\(521\) −20.8712 + 31.2359i −0.914383 + 1.36847i 0.0152099 + 0.999884i \(0.495158\pi\)
−0.929593 + 0.368587i \(0.879842\pi\)
\(522\) 9.81266 + 4.30723i 0.429489 + 0.188522i
\(523\) 11.3829 3.45298i 0.497741 0.150988i −0.0314255 0.999506i \(-0.510005\pi\)
0.529166 + 0.848518i \(0.322505\pi\)
\(524\) 3.71610 26.3653i 0.162339 1.15178i
\(525\) 1.51520 + 1.24349i 0.0661287 + 0.0542704i
\(526\) 12.5107 22.2720i 0.545492 0.971106i
\(527\) −22.4479 9.29822i −0.977845 0.405037i
\(528\) 19.8404 + 10.2384i 0.863442 + 0.445571i
\(529\) −15.8079 + 6.54783i −0.687298 + 0.284688i
\(530\) 0.00517225 0.0432225i 0.000224668 0.00187747i
\(531\) 0.284066 + 2.88417i 0.0123274 + 0.125162i
\(532\) −2.27548 + 0.128303i −0.0986544 + 0.00556264i
\(533\) 3.62803 6.78757i 0.157148 0.294002i
\(534\) 6.47648 6.21096i 0.280265 0.268775i
\(535\) −1.59506 + 0.317278i −0.0689606 + 0.0137171i
\(536\) −21.0688 + 7.21482i −0.910032 + 0.311633i
\(537\) −4.87674 + 24.5170i −0.210447 + 1.05799i
\(538\) 13.5448 + 2.99014i 0.583959 + 0.128914i
\(539\) −3.73881 + 37.9607i −0.161042 + 1.63508i
\(540\) 0.0364305 0.870009i 0.00156772 0.0374392i
\(541\) 7.57286 24.9644i 0.325583 1.07330i −0.629509 0.776993i \(-0.716744\pi\)
0.955092 0.296309i \(-0.0957559\pi\)
\(542\) 22.9845 1.77910i 0.987269 0.0764187i
\(543\) 4.50858 + 4.50858i 0.193482 + 0.193482i
\(544\) 13.6858 + 5.77253i 0.586775 + 0.247495i
\(545\) −0.387736 + 0.387736i −0.0166088 + 0.0166088i
\(546\) 0.333154 0.389056i 0.0142577 0.0166501i
\(547\) −30.1662 9.15081i −1.28981 0.391260i −0.430444 0.902617i \(-0.641643\pi\)
−0.859368 + 0.511357i \(0.829143\pi\)
\(548\) −6.15131 16.8072i −0.262771 0.717970i
\(549\) −6.29538 0.620041i −0.268680 0.0264627i
\(550\) −20.4306 32.0066i −0.871165 1.36477i
\(551\) 20.7845 + 4.13429i 0.885448 + 0.176127i
\(552\) 3.44801 + 5.93539i 0.146757 + 0.252627i
\(553\) 0.261708 + 1.31569i 0.0111289 + 0.0559489i
\(554\) 0.130643 6.24261i 0.00555050 0.265223i
\(555\) −3.32204 1.77567i −0.141013 0.0753729i
\(556\) 5.00093 14.3022i 0.212087 0.606548i
\(557\) −10.1167 + 0.996409i −0.428659 + 0.0422192i −0.310046 0.950721i \(-0.600345\pi\)
−0.118612 + 0.992941i \(0.537845\pi\)
\(558\) 10.2875 8.08852i 0.435505 0.342414i
\(559\) 1.30866 + 3.15939i 0.0553506 + 0.133628i
\(560\) 0.0102725 + 0.709558i 0.000434092 + 0.0299843i
\(561\) 5.60853 13.5402i 0.236792 0.571667i
\(562\) −7.81996 27.8650i −0.329865 1.17541i
\(563\) 16.2254 19.7708i 0.683821 0.833238i −0.309222 0.950990i \(-0.600069\pi\)
0.993043 + 0.117752i \(0.0375687\pi\)
\(564\) −10.9946 + 2.83872i −0.462954 + 0.119532i
\(565\) −0.818131 2.69702i −0.0344190 0.113464i
\(566\) 13.1686 + 33.7739i 0.553519 + 1.41962i
\(567\) −0.338802 0.226380i −0.0142283 0.00950707i
\(568\) 25.9088 11.8228i 1.08711 0.496073i
\(569\) −17.9140 26.8102i −0.750994 1.12394i −0.988302 0.152507i \(-0.951265\pi\)
0.237308 0.971434i \(-0.423735\pi\)
\(570\) −0.300527 1.69553i −0.0125877 0.0710178i
\(571\) 27.3889 22.4775i 1.14619 0.940653i 0.147363 0.989083i \(-0.452922\pi\)
0.998827 + 0.0484294i \(0.0154216\pi\)
\(572\) −8.47363 + 5.16263i −0.354300 + 0.215860i
\(573\) −11.0970 20.7610i −0.463582 0.867302i
\(574\) 4.74342 + 1.54800i 0.197987 + 0.0646122i
\(575\) 11.6743i 0.486852i
\(576\) −6.32067 + 4.90399i −0.263361 + 0.204333i
\(577\) 38.5448i 1.60464i 0.596894 + 0.802320i \(0.296401\pi\)
−0.596894 + 0.802320i \(0.703599\pi\)
\(578\) −4.43379 + 13.5862i −0.184421 + 0.565110i
\(579\) −2.39780 4.48596i −0.0996491 0.186430i
\(580\) 1.55690 6.41207i 0.0646469 0.266247i
\(581\) −0.290451 + 0.238367i −0.0120499 + 0.00988912i
\(582\) 18.8953 3.34912i 0.783234 0.138826i
\(583\) 0.219233 + 0.328105i 0.00907969 + 0.0135887i
\(584\) 20.0244 21.4949i 0.828617 0.889464i
\(585\) 0.321775 + 0.215003i 0.0133037 + 0.00888928i
\(586\) −14.5283 + 5.66467i −0.600159 + 0.234006i
\(587\) −8.87279 29.2497i −0.366219 1.20726i −0.925648 0.378385i \(-0.876479\pi\)
0.559429 0.828878i \(-0.311021\pi\)
\(588\) −11.7739 6.94168i −0.485549 0.286270i
\(589\) 16.4172 20.0044i 0.676460 0.824269i
\(590\) 1.71809 0.482160i 0.0707325 0.0198502i
\(591\) 2.55259 6.16251i 0.105000 0.253492i
\(592\) 7.24206 + 33.8405i 0.297647 + 1.39084i
\(593\) −2.75482 6.65073i −0.113127 0.273113i 0.857168 0.515036i \(-0.172222\pi\)
−0.970295 + 0.241924i \(0.922222\pi\)
\(594\) 4.87886 + 6.20525i 0.200182 + 0.254604i
\(595\) 0.463584 0.0456591i 0.0190051 0.00187184i
\(596\) −1.09004 2.26219i −0.0446498 0.0926629i
\(597\) 15.3499 + 8.20469i 0.628230 + 0.335796i
\(598\) −3.04998 0.0638291i −0.124723 0.00261017i
\(599\) 2.66432 + 13.3944i 0.108861 + 0.547281i 0.996269 + 0.0862973i \(0.0275035\pi\)
−0.887408 + 0.460984i \(0.847496\pi\)
\(600\) 13.4848 1.81203i 0.550514 0.0739757i
\(601\) −20.8617 4.14964i −0.850965 0.169267i −0.249706 0.968322i \(-0.580334\pi\)
−0.601259 + 0.799054i \(0.705334\pi\)
\(602\) −1.86876 + 1.19288i −0.0761649 + 0.0486180i
\(603\) −7.83567 0.771746i −0.319093 0.0314279i
\(604\) −9.76311 + 21.0349i −0.397255 + 0.855900i
\(605\) −8.39700 2.54720i −0.341387 0.103558i
\(606\) −20.7220 17.7446i −0.841775 0.720823i
\(607\) 15.8656 15.8656i 0.643963 0.643963i −0.307564 0.951527i \(-0.599514\pi\)
0.951527 + 0.307564i \(0.0995138\pi\)
\(608\) −10.1148 + 12.1641i −0.410208 + 0.493318i
\(609\) −2.18332 2.18332i −0.0884725 0.0884725i
\(610\) 0.300590 + 3.88339i 0.0121705 + 0.157234i
\(611\) 1.46493 4.82923i 0.0592647 0.195370i
\(612\) 3.55475 + 3.86546i 0.143692 + 0.156252i
\(613\) 0.820241 8.32805i 0.0331292 0.336367i −0.964306 0.264791i \(-0.914697\pi\)
0.997435 0.0715760i \(-0.0228029\pi\)
\(614\) −7.14382 + 32.3603i −0.288301 + 1.30595i
\(615\) −0.735468 + 3.69745i −0.0296569 + 0.149095i
\(616\) −4.25439 4.82509i −0.171414 0.194409i
\(617\) −19.8776 + 3.95389i −0.800241 + 0.159178i −0.578238 0.815868i \(-0.696259\pi\)
−0.222003 + 0.975046i \(0.571259\pi\)
\(618\) −1.45229 1.51437i −0.0584197 0.0609171i
\(619\) 7.60419 14.2264i 0.305638 0.571809i −0.681473 0.731843i \(-0.738660\pi\)
0.987111 + 0.160034i \(0.0511604\pi\)
\(620\) −6.00940 5.36789i −0.241343 0.215580i
\(621\) 0.237875 + 2.41518i 0.00954559 + 0.0969180i
\(622\) −47.1617 5.64364i −1.89101 0.226290i
\(623\) −2.38866 + 0.989414i −0.0956995 + 0.0396400i
\(624\) −0.399676 3.53289i −0.0159998 0.141429i
\(625\) −20.5032 8.49271i −0.820129 0.339708i
\(626\) −0.549349 0.308582i −0.0219564 0.0123334i
\(627\) 12.0663 + 9.90259i 0.481883 + 0.395471i
\(628\) −15.8325 21.0278i −0.631785 0.839101i
\(629\) 21.7389 6.59441i 0.866785 0.262936i
\(630\) −0.100841 + 0.229735i −0.00401762 + 0.00915287i
\(631\) 23.2700 34.8260i 0.926363 1.38640i 0.00403510 0.999992i \(-0.498716\pi\)
0.922328 0.386408i \(-0.126284\pi\)
\(632\) 7.92059 + 4.89600i 0.315064 + 0.194752i
\(633\) 17.3955 11.6233i 0.691408 0.461984i
\(634\) −25.1787 17.5968i −0.999973 0.698860i
\(635\) −1.80152 2.19516i −0.0714911 0.0871122i
\(636\) −0.139712 + 0.0217590i −0.00553994 + 0.000862799i
\(637\) 5.35715 2.86346i 0.212258 0.113454i
\(638\) 27.0864 + 53.3300i 1.07236 + 2.11136i
\(639\) 10.0688 0.398315
\(640\) 3.65241 + 3.30510i 0.144374 + 0.130646i
\(641\) 7.64558 0.301982 0.150991 0.988535i \(-0.451753\pi\)
0.150991 + 0.988535i \(0.451753\pi\)
\(642\) 2.39216 + 4.70989i 0.0944111 + 0.185884i
\(643\) −17.2160 + 9.20214i −0.678933 + 0.362897i −0.774543 0.632522i \(-0.782020\pi\)
0.0956099 + 0.995419i \(0.469520\pi\)
\(644\) −0.304352 1.95421i −0.0119931 0.0770067i
\(645\) −1.06265 1.29484i −0.0418418 0.0509843i
\(646\) 8.51205 + 5.94889i 0.334902 + 0.234056i
\(647\) 25.0051 16.7079i 0.983051 0.656854i 0.0434253 0.999057i \(-0.486173\pi\)
0.939626 + 0.342203i \(0.111173\pi\)
\(648\) −2.75281 + 0.649637i −0.108141 + 0.0255202i
\(649\) −8.98700 + 13.4500i −0.352771 + 0.527959i
\(650\) −2.43042 + 5.53694i −0.0953290 + 0.217177i
\(651\) −3.60822 + 1.09454i −0.141417 + 0.0428985i
\(652\) 15.8479 11.9324i 0.620651 0.467308i
\(653\) 8.39465 + 6.88931i 0.328508 + 0.269600i 0.784160 0.620558i \(-0.213094\pi\)
−0.455652 + 0.890158i \(0.650594\pi\)
\(654\) 1.55289 + 0.872295i 0.0607229 + 0.0341094i
\(655\) −5.35506 2.21814i −0.209240 0.0866699i
\(656\) 30.3057 16.7672i 1.18324 0.654650i
\(657\) 9.59572 3.97468i 0.374365 0.155067i
\(658\) 3.24854 + 0.388739i 0.126641 + 0.0151546i
\(659\) −0.212622 2.15879i −0.00828259 0.0840945i 0.990155 0.139977i \(-0.0447028\pi\)
−0.998437 + 0.0558823i \(0.982203\pi\)
\(660\) 3.23782 3.62477i 0.126032 0.141094i
\(661\) 7.02242 13.1380i 0.273140 0.511010i −0.707528 0.706685i \(-0.750190\pi\)
0.980669 + 0.195675i \(0.0626898\pi\)
\(662\) 18.3839 + 19.1698i 0.714509 + 0.745055i
\(663\) −2.28906 + 0.455322i −0.0888996 + 0.0176832i
\(664\) −0.163616 + 2.60301i −0.00634954 + 0.101017i
\(665\) −0.0967924 + 0.486608i −0.00375345 + 0.0188699i
\(666\) −2.63755 + 11.9477i −0.102203 + 0.462962i
\(667\) −1.80253 + 18.3013i −0.0697940 + 0.708631i
\(668\) −23.7256 + 21.8185i −0.917973 + 0.844185i
\(669\) 2.51830 8.30172i 0.0973631 0.320963i
\(670\) 0.374136 + 4.83353i 0.0144541 + 0.186736i
\(671\) −24.9667 24.9667i −0.963830 0.963830i
\(672\) 2.21003 0.654874i 0.0852539 0.0252623i
\(673\) −25.8555 + 25.8555i −0.996656 + 0.996656i −0.999994 0.00333808i \(-0.998937\pi\)
0.00333808 + 0.999994i \(0.498937\pi\)
\(674\) 34.3257 + 29.3936i 1.32218 + 1.13220i
\(675\) 4.60330 + 1.39640i 0.177181 + 0.0537473i
\(676\) −22.1503 10.2808i −0.851934 0.395415i
\(677\) −21.9258 2.15950i −0.842677 0.0829964i −0.332539 0.943089i \(-0.607905\pi\)
−0.510137 + 0.860093i \(0.670405\pi\)
\(678\) −7.71652 + 4.92565i −0.296351 + 0.189168i
\(679\) −5.42286 1.07867i −0.208110 0.0413957i
\(680\) 1.96155 2.57055i 0.0752219 0.0985762i
\(681\) 0.578572 + 2.90868i 0.0221709 + 0.111461i
\(682\) 73.0276 + 1.52830i 2.79637 + 0.0585215i
\(683\) −5.62836 3.00842i −0.215363 0.115114i 0.360188 0.932880i \(-0.382713\pi\)
−0.575551 + 0.817766i \(0.695213\pi\)
\(684\) −5.03877 + 2.42795i −0.192662 + 0.0928348i
\(685\) −3.87741 + 0.381891i −0.148148 + 0.0145913i
\(686\) 4.92727 + 6.26682i 0.188124 + 0.239268i
\(687\) −2.55945 6.17905i −0.0976490 0.235745i
\(688\) −2.78348 + 15.1354i −0.106119 + 0.577032i
\(689\) 0.0240480 0.0580570i 0.000916156 0.00221180i
\(690\) 1.43871 0.403756i 0.0547708 0.0153707i
\(691\) 3.62929 4.42230i 0.138065 0.168232i −0.699388 0.714742i \(-0.746544\pi\)
0.837453 + 0.546510i \(0.184044\pi\)
\(692\) −11.0225 + 18.6954i −0.419011 + 0.710693i
\(693\) −0.660209 2.17642i −0.0250793 0.0826753i
\(694\) 7.14418 2.78556i 0.271189 0.105738i
\(695\) −2.74246 1.83246i −0.104028 0.0695090i
\(696\) −21.4193 + 0.758580i −0.811897 + 0.0287539i
\(697\) −12.6312 18.9039i −0.478440 0.716036i
\(698\) −27.9993 + 4.96278i −1.05979 + 0.187844i
\(699\) −13.9240 + 11.4272i −0.526655 + 0.432215i
\(700\) −3.80956 0.924994i −0.143988 0.0349615i
\(701\) 7.03260 + 13.1571i 0.265617 + 0.496935i 0.979005 0.203834i \(-0.0653403\pi\)
−0.713388 + 0.700769i \(0.752840\pi\)
\(702\) 0.389986 1.19501i 0.0147191 0.0451026i
\(703\) 24.1954i 0.912547i
\(704\) −44.6360 1.22212i −1.68228 0.0460606i
\(705\) 2.47193i 0.0930982i
\(706\) −33.8819 11.0572i −1.27516 0.416144i
\(707\) 3.70541 + 6.93234i 0.139356 + 0.260718i
\(708\) −3.01578 4.94992i −0.113340 0.186029i
\(709\) 12.6979 10.4209i 0.476879 0.391365i −0.365020 0.931000i \(-0.618938\pi\)
0.841899 + 0.539635i \(0.181438\pi\)
\(710\) −1.08200 6.10448i −0.0406068 0.229097i
\(711\) 1.82903 + 2.73733i 0.0685939 + 0.102658i
\(712\) −6.27675 + 16.8133i −0.235231 + 0.630103i
\(713\) 18.6725 + 12.4765i 0.699289 + 0.467250i
\(714\) −0.549660 1.40972i −0.0205705 0.0527576i
\(715\) 0.627029 + 2.06704i 0.0234496 + 0.0773029i
\(716\) −12.4984 48.4072i −0.467088 1.80906i
\(717\) −7.30073 + 8.89596i −0.272651 + 0.332226i
\(718\) 12.6381 + 45.0337i 0.471651 + 1.68064i
\(719\) −2.39809 + 5.78950i −0.0894336 + 0.215912i −0.962267 0.272106i \(-0.912280\pi\)
0.872834 + 0.488018i \(0.162280\pi\)
\(720\) 0.689681 + 1.59916i 0.0257029 + 0.0595972i
\(721\) 0.231352 + 0.558532i 0.00861598 + 0.0208008i
\(722\) 12.4280 9.77151i 0.462524 0.363658i
\(723\) −15.9641 + 1.57232i −0.593711 + 0.0584754i
\(724\) −12.0375 4.20906i −0.447371 0.156429i
\(725\) 32.1475 + 17.1832i 1.19393 + 0.638168i
\(726\) −0.596356 + 28.4961i −0.0221329 + 1.05759i
\(727\) −7.46408 37.5245i −0.276828 1.39171i −0.829593 0.558369i \(-0.811427\pi\)
0.552765 0.833337i \(-0.313573\pi\)
\(728\) −0.262489 + 0.990214i −0.00972849 + 0.0366998i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −3.44093 5.39056i −0.127354 0.199514i
\(731\) 10.0534 + 0.990171i 0.371838 + 0.0366228i
\(732\) 11.8810 4.34833i 0.439133 0.160719i
\(733\) −13.0218 3.95013i −0.480972 0.145901i 0.0404827 0.999180i \(-0.487110\pi\)
−0.521455 + 0.853279i \(0.674610\pi\)
\(734\) 7.51610 8.77728i 0.277424 0.323975i
\(735\) −2.10393 + 2.10393i −0.0776048 + 0.0776048i
\(736\) −11.3654 7.70057i −0.418933 0.283847i
\(737\) −31.0753 31.0753i −1.14467 1.14467i
\(738\) 12.2088 0.945009i 0.449410 0.0347863i
\(739\) −5.25608 + 17.3270i −0.193348 + 0.637383i 0.805640 + 0.592406i \(0.201822\pi\)
−0.998988 + 0.0449776i \(0.985678\pi\)
\(740\) 7.52704 + 0.315185i 0.276700 + 0.0115864i
\(741\) 0.243649 2.47381i 0.00895069 0.0908778i
\(742\) 0.0397823 + 0.00878229i 0.00146045 + 0.000322408i
\(743\) 1.67217 8.40656i 0.0613459 0.308407i −0.937914 0.346867i \(-0.887245\pi\)
0.999260 + 0.0384605i \(0.0122454\pi\)
\(744\) −11.5132 + 23.5048i −0.422093 + 0.861726i
\(745\) −0.536148 + 0.106646i −0.0196429 + 0.00390722i
\(746\) −2.62682 + 2.51913i −0.0961749 + 0.0922319i
\(747\) −0.434685 + 0.813238i −0.0159043 + 0.0297548i
\(748\) 1.65012 + 29.2651i 0.0603343 + 1.07004i
\(749\) −0.149187 1.51472i −0.00545118 0.0553467i
\(750\) 0.717728 5.99778i 0.0262077 0.219008i
\(751\) 46.4143 19.2254i 1.69368 0.701546i 0.693855 0.720114i \(-0.255911\pi\)
0.999828 + 0.0185679i \(0.00591067\pi\)
\(752\) 17.3448 14.6598i 0.632501 0.534589i
\(753\) −0.244863 0.101425i −0.00892329 0.00369615i
\(754\) 4.66498 8.30478i 0.169889 0.302442i
\(755\) 3.90243 + 3.20264i 0.142024 + 0.116556i
\(756\) 0.806971 + 0.113740i 0.0293492 + 0.00413667i
\(757\) −49.7251 + 15.0839i −1.80729 + 0.548235i −0.999168 0.0407806i \(-0.987016\pi\)
−0.808121 + 0.589016i \(0.799516\pi\)
\(758\) −45.2299 19.8535i −1.64282 0.721112i
\(759\) −7.52564 + 11.2629i −0.273164 + 0.408818i
\(760\) 2.01348 + 2.79399i 0.0730367 + 0.101349i
\(761\) 12.5211 8.36632i 0.453889 0.303279i −0.307531 0.951538i \(-0.599503\pi\)
0.761420 + 0.648259i \(0.224503\pi\)
\(762\) −5.28395 + 7.56061i −0.191417 + 0.273892i
\(763\) −0.325563 0.396700i −0.0117862 0.0143615i
\(764\) 38.0180 + 27.7718i 1.37544 + 1.00475i
\(765\) 1.00822 0.538905i 0.0364523 0.0194842i
\(766\) −28.7513 + 14.6028i −1.03883 + 0.527622i
\(767\) 2.57602 0.0930147
\(768\) 7.13070 14.3232i 0.257307 0.516843i
\(769\) −32.8417 −1.18430 −0.592151 0.805827i \(-0.701721\pi\)
−0.592151 + 0.805827i \(0.701721\pi\)
\(770\) −1.24857 + 0.634151i −0.0449953 + 0.0228532i
\(771\) 13.7204 7.33372i 0.494129 0.264118i
\(772\) 8.21481 + 6.00084i 0.295657 + 0.215975i
\(773\) −29.9988