Properties

Label 273.2.bh.a.131.6
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.6
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.71340 - 0.989233i) q^{2} +(-1.24374 - 1.20545i) q^{3} +(0.957162 + 1.65785i) q^{4} +(-0.830302 + 1.43813i) q^{5} +(0.938561 + 3.29577i) q^{6} +(2.61452 - 0.405294i) q^{7} +0.169506i q^{8} +(0.0937900 + 2.99853i) q^{9} +O(q^{10})\) \(q+(-1.71340 - 0.989233i) q^{2} +(-1.24374 - 1.20545i) q^{3} +(0.957162 + 1.65785i) q^{4} +(-0.830302 + 1.43813i) q^{5} +(0.938561 + 3.29577i) q^{6} +(2.61452 - 0.405294i) q^{7} +0.169506i q^{8} +(0.0937900 + 2.99853i) q^{9} +(2.84528 - 1.64272i) q^{10} +(3.87356 - 2.23640i) q^{11} +(0.807993 - 3.21575i) q^{12} +1.00000i q^{13} +(-4.88066 - 1.89194i) q^{14} +(2.76627 - 0.787772i) q^{15} +(2.08201 - 3.60614i) q^{16} +(1.83031 + 3.17019i) q^{17} +(2.80555 - 5.23047i) q^{18} +(-6.48934 - 3.74662i) q^{19} -3.17894 q^{20} +(-3.74036 - 2.64759i) q^{21} -8.84927 q^{22} +(2.05223 + 1.18486i) q^{23} +(0.204331 - 0.210822i) q^{24} +(1.12120 + 1.94197i) q^{25} +(0.989233 - 1.71340i) q^{26} +(3.49793 - 3.84246i) q^{27} +(3.17444 + 3.94657i) q^{28} -9.21663i q^{29} +(-5.51902 - 1.38671i) q^{30} +(8.16879 - 4.71625i) q^{31} +(-6.84103 + 3.94967i) q^{32} +(-7.51357 - 1.88787i) q^{33} -7.24240i q^{34} +(-1.58798 + 4.09653i) q^{35} +(-4.88136 + 3.02557i) q^{36} +(-1.46979 + 2.54575i) q^{37} +(7.41256 + 12.8389i) q^{38} +(1.20545 - 1.24374i) q^{39} +(-0.243771 - 0.140741i) q^{40} +0.239057 q^{41} +(3.78964 + 8.23647i) q^{42} +8.76234 q^{43} +(7.41524 + 4.28119i) q^{44} +(-4.39014 - 2.35481i) q^{45} +(-2.34419 - 4.06026i) q^{46} +(-1.89098 + 3.27527i) q^{47} +(-6.93649 + 1.97536i) q^{48} +(6.67147 - 2.11930i) q^{49} -4.43649i q^{50} +(1.54506 - 6.14924i) q^{51} +(-1.65785 + 0.957162i) q^{52} +(8.34639 - 4.81879i) q^{53} +(-9.79444 + 3.12342i) q^{54} +7.42755i q^{55} +(0.0686999 + 0.443178i) q^{56} +(3.55471 + 12.4824i) q^{57} +(-9.11740 + 15.7918i) q^{58} +(0.145711 + 0.252379i) q^{59} +(3.95378 + 3.83204i) q^{60} +(6.89332 + 3.97986i) q^{61} -18.6619 q^{62} +(1.46050 + 7.80173i) q^{63} +7.30054 q^{64} +(-1.43813 - 0.830302i) q^{65} +(11.0062 + 10.6673i) q^{66} +(-0.989788 - 1.71436i) q^{67} +(-3.50380 + 6.06877i) q^{68} +(-1.12416 - 3.94751i) q^{69} +(6.77327 - 5.44812i) q^{70} +3.23478i q^{71} +(-0.508270 + 0.0158980i) q^{72} +(-7.09914 + 4.09869i) q^{73} +(5.03667 - 2.90792i) q^{74} +(0.946463 - 3.76685i) q^{75} -14.3445i q^{76} +(9.22110 - 7.41705i) q^{77} +(-3.29577 + 0.938561i) q^{78} +(-3.44782 + 5.97180i) q^{79} +(3.45739 + 5.98837i) q^{80} +(-8.98241 + 0.562465i) q^{81} +(-0.409600 - 0.236483i) q^{82} +2.91828 q^{83} +(0.809193 - 8.73514i) q^{84} -6.07884 q^{85} +(-15.0134 - 8.66799i) q^{86} +(-11.1102 + 11.4631i) q^{87} +(0.379083 + 0.656592i) q^{88} +(1.32756 - 2.29940i) q^{89} +(5.19262 + 8.37760i) q^{90} +(0.405294 + 2.61452i) q^{91} +4.53639i q^{92} +(-15.8451 - 3.98125i) q^{93} +(6.48001 - 3.74123i) q^{94} +(10.7762 - 6.22165i) q^{95} +(13.2696 + 3.33413i) q^{96} -2.45844i q^{97} +(-13.5274 - 2.96842i) q^{98} +(7.06922 + 11.4052i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.71340 0.989233i −1.21156 0.699493i −0.248459 0.968642i \(-0.579924\pi\)
−0.963098 + 0.269149i \(0.913257\pi\)
\(3\) −1.24374 1.20545i −0.718075 0.695966i
\(4\) 0.957162 + 1.65785i 0.478581 + 0.828927i
\(5\) −0.830302 + 1.43813i −0.371323 + 0.643150i −0.989769 0.142677i \(-0.954429\pi\)
0.618447 + 0.785827i \(0.287762\pi\)
\(6\) 0.938561 + 3.29577i 0.383166 + 1.34549i
\(7\) 2.61452 0.405294i 0.988197 0.153187i
\(8\) 0.169506i 0.0599295i
\(9\) 0.0937900 + 2.99853i 0.0312633 + 0.999511i
\(10\) 2.84528 1.64272i 0.899757 0.519475i
\(11\) 3.87356 2.23640i 1.16792 0.674299i 0.214731 0.976673i \(-0.431112\pi\)
0.953189 + 0.302374i \(0.0977791\pi\)
\(12\) 0.807993 3.21575i 0.233248 0.928308i
\(13\) 1.00000i 0.277350i
\(14\) −4.88066 1.89194i −1.30441 0.505643i
\(15\) 2.76627 0.787772i 0.714247 0.203402i
\(16\) 2.08201 3.60614i 0.520501 0.901535i
\(17\) 1.83031 + 3.17019i 0.443915 + 0.768883i 0.997976 0.0635927i \(-0.0202558\pi\)
−0.554061 + 0.832476i \(0.686923\pi\)
\(18\) 2.80555 5.23047i 0.661274 1.23283i
\(19\) −6.48934 3.74662i −1.48876 0.859533i −0.488838 0.872375i \(-0.662579\pi\)
−0.999918 + 0.0128411i \(0.995912\pi\)
\(20\) −3.17894 −0.710832
\(21\) −3.74036 2.64759i −0.816212 0.577752i
\(22\) −8.84927 −1.88667
\(23\) 2.05223 + 1.18486i 0.427919 + 0.247059i 0.698460 0.715649i \(-0.253869\pi\)
−0.270540 + 0.962709i \(0.587202\pi\)
\(24\) 0.204331 0.210822i 0.0417089 0.0430339i
\(25\) 1.12120 + 1.94197i 0.224239 + 0.388394i
\(26\) 0.989233 1.71340i 0.194004 0.336026i
\(27\) 3.49793 3.84246i 0.673176 0.739482i
\(28\) 3.17444 + 3.94657i 0.599913 + 0.745831i
\(29\) 9.21663i 1.71149i −0.517401 0.855743i \(-0.673100\pi\)
0.517401 0.855743i \(-0.326900\pi\)
\(30\) −5.51902 1.38671i −1.00763 0.253178i
\(31\) 8.16879 4.71625i 1.46716 0.847064i 0.467834 0.883817i \(-0.345035\pi\)
0.999324 + 0.0367524i \(0.0117013\pi\)
\(32\) −6.84103 + 3.94967i −1.20933 + 0.698209i
\(33\) −7.51357 1.88787i −1.30794 0.328635i
\(34\) 7.24240i 1.24206i
\(35\) −1.58798 + 4.09653i −0.268418 + 0.692440i
\(36\) −4.88136 + 3.02557i −0.813560 + 0.504262i
\(37\) −1.46979 + 2.54575i −0.241632 + 0.418518i −0.961179 0.275925i \(-0.911016\pi\)
0.719548 + 0.694443i \(0.244349\pi\)
\(38\) 7.41256 + 12.8389i 1.20248 + 2.08275i
\(39\) 1.20545 1.24374i 0.193026 0.199158i
\(40\) −0.243771 0.140741i −0.0385436 0.0222532i
\(41\) 0.239057 0.0373344 0.0186672 0.999826i \(-0.494058\pi\)
0.0186672 + 0.999826i \(0.494058\pi\)
\(42\) 3.78964 + 8.23647i 0.584755 + 1.27091i
\(43\) 8.76234 1.33624 0.668122 0.744052i \(-0.267098\pi\)
0.668122 + 0.744052i \(0.267098\pi\)
\(44\) 7.41524 + 4.28119i 1.11789 + 0.645414i
\(45\) −4.39014 2.35481i −0.654444 0.351034i
\(46\) −2.34419 4.06026i −0.345633 0.598653i
\(47\) −1.89098 + 3.27527i −0.275828 + 0.477747i −0.970344 0.241730i \(-0.922285\pi\)
0.694516 + 0.719477i \(0.255619\pi\)
\(48\) −6.93649 + 1.97536i −1.00120 + 0.285118i
\(49\) 6.67147 2.11930i 0.953068 0.302757i
\(50\) 4.43649i 0.627415i
\(51\) 1.54506 6.14924i 0.216352 0.861066i
\(52\) −1.65785 + 0.957162i −0.229903 + 0.132735i
\(53\) 8.34639 4.81879i 1.14646 0.661912i 0.198441 0.980113i \(-0.436412\pi\)
0.948023 + 0.318201i \(0.103079\pi\)
\(54\) −9.79444 + 3.12342i −1.33285 + 0.425043i
\(55\) 7.42755i 1.00153i
\(56\) 0.0686999 + 0.443178i 0.00918040 + 0.0592222i
\(57\) 3.55471 + 12.4824i 0.470832 + 1.65333i
\(58\) −9.11740 + 15.7918i −1.19717 + 2.07356i
\(59\) 0.145711 + 0.252379i 0.0189700 + 0.0328570i 0.875355 0.483482i \(-0.160628\pi\)
−0.856385 + 0.516339i \(0.827295\pi\)
\(60\) 3.95378 + 3.83204i 0.510431 + 0.494715i
\(61\) 6.89332 + 3.97986i 0.882599 + 0.509569i 0.871515 0.490370i \(-0.163138\pi\)
0.0110847 + 0.999939i \(0.496472\pi\)
\(62\) −18.6619 −2.37006
\(63\) 1.46050 + 7.80173i 0.184006 + 0.982925i
\(64\) 7.30054 0.912568
\(65\) −1.43813 0.830302i −0.178378 0.102986i
\(66\) 11.0062 + 10.6673i 1.35477 + 1.31306i
\(67\) −0.989788 1.71436i −0.120922 0.209443i 0.799210 0.601052i \(-0.205252\pi\)
−0.920131 + 0.391610i \(0.871918\pi\)
\(68\) −3.50380 + 6.06877i −0.424899 + 0.735946i
\(69\) −1.12416 3.94751i −0.135333 0.475224i
\(70\) 6.77327 5.44812i 0.809561 0.651175i
\(71\) 3.23478i 0.383898i 0.981405 + 0.191949i \(0.0614807\pi\)
−0.981405 + 0.191949i \(0.938519\pi\)
\(72\) −0.508270 + 0.0158980i −0.0599002 + 0.00187360i
\(73\) −7.09914 + 4.09869i −0.830892 + 0.479716i −0.854158 0.520014i \(-0.825927\pi\)
0.0232660 + 0.999729i \(0.492594\pi\)
\(74\) 5.03667 2.90792i 0.585501 0.338039i
\(75\) 0.946463 3.76685i 0.109288 0.434958i
\(76\) 14.3445i 1.64543i
\(77\) 9.22110 7.41705i 1.05084 0.845251i
\(78\) −3.29577 + 0.938561i −0.373172 + 0.106271i
\(79\) −3.44782 + 5.97180i −0.387910 + 0.671880i −0.992168 0.124909i \(-0.960136\pi\)
0.604258 + 0.796789i \(0.293470\pi\)
\(80\) 3.45739 + 5.98837i 0.386548 + 0.669520i
\(81\) −8.98241 + 0.562465i −0.998045 + 0.0624961i
\(82\) −0.409600 0.236483i −0.0452327 0.0261151i
\(83\) 2.91828 0.320322 0.160161 0.987091i \(-0.448799\pi\)
0.160161 + 0.987091i \(0.448799\pi\)
\(84\) 0.809193 8.73514i 0.0882902 0.953081i
\(85\) −6.07884 −0.659343
\(86\) −15.0134 8.66799i −1.61894 0.934693i
\(87\) −11.1102 + 11.4631i −1.19114 + 1.22898i
\(88\) 0.379083 + 0.656592i 0.0404104 + 0.0699929i
\(89\) 1.32756 2.29940i 0.140721 0.243736i −0.787047 0.616892i \(-0.788391\pi\)
0.927768 + 0.373157i \(0.121725\pi\)
\(90\) 5.19262 + 8.37760i 0.547351 + 0.883077i
\(91\) 0.405294 + 2.61452i 0.0424864 + 0.274077i
\(92\) 4.53639i 0.472952i
\(93\) −15.8451 3.98125i −1.64306 0.412836i
\(94\) 6.48001 3.74123i 0.668362 0.385879i
\(95\) 10.7762 6.22165i 1.10562 0.638328i
\(96\) 13.2696 + 3.33413i 1.35432 + 0.340288i
\(97\) 2.45844i 0.249617i −0.992181 0.124808i \(-0.960168\pi\)
0.992181 0.124808i \(-0.0398316\pi\)
\(98\) −13.5274 2.96842i −1.36647 0.299856i
\(99\) 7.06922 + 11.4052i 0.710483 + 1.14627i
\(100\) −2.14633 + 3.71756i −0.214633 + 0.371756i
\(101\) −1.15781 2.00538i −0.115206 0.199543i 0.802656 0.596442i \(-0.203420\pi\)
−0.917862 + 0.396899i \(0.870086\pi\)
\(102\) −8.73034 + 9.00768i −0.864433 + 0.891894i
\(103\) −9.92266 5.72885i −0.977709 0.564480i −0.0761311 0.997098i \(-0.524257\pi\)
−0.901578 + 0.432617i \(0.857590\pi\)
\(104\) −0.169506 −0.0166215
\(105\) 6.91320 3.18080i 0.674659 0.310414i
\(106\) −19.0676 −1.85201
\(107\) 12.1992 + 7.04322i 1.17934 + 0.680894i 0.955862 0.293815i \(-0.0949249\pi\)
0.223480 + 0.974709i \(0.428258\pi\)
\(108\) 9.71832 + 2.12119i 0.935146 + 0.204112i
\(109\) −1.91428 3.31564i −0.183355 0.317580i 0.759666 0.650314i \(-0.225362\pi\)
−0.943021 + 0.332733i \(0.892029\pi\)
\(110\) 7.34757 12.7264i 0.700563 1.21341i
\(111\) 4.89680 1.39450i 0.464784 0.132360i
\(112\) 3.98191 10.2722i 0.376255 0.970628i
\(113\) 11.3396i 1.06674i −0.845882 0.533370i \(-0.820925\pi\)
0.845882 0.533370i \(-0.179075\pi\)
\(114\) 6.25735 24.9038i 0.586054 2.33245i
\(115\) −3.40794 + 1.96758i −0.317792 + 0.183477i
\(116\) 15.2798 8.82181i 1.41870 0.819085i
\(117\) −2.99853 + 0.0937900i −0.277215 + 0.00867089i
\(118\) 0.576569i 0.0530775i
\(119\) 6.07024 + 7.54672i 0.556458 + 0.691807i
\(120\) 0.133532 + 0.468900i 0.0121898 + 0.0428045i
\(121\) 4.50295 7.79934i 0.409359 0.709031i
\(122\) −7.87402 13.6382i −0.712880 1.23474i
\(123\) −0.297325 0.288170i −0.0268089 0.0259834i
\(124\) 15.6377 + 9.02844i 1.40431 + 0.810778i
\(125\) −12.0268 −1.07571
\(126\) 5.21529 14.8123i 0.464615 1.31958i
\(127\) 15.1376 1.34324 0.671621 0.740895i \(-0.265598\pi\)
0.671621 + 0.740895i \(0.265598\pi\)
\(128\) 1.17330 + 0.677403i 0.103706 + 0.0598745i
\(129\) −10.8981 10.5625i −0.959523 0.929980i
\(130\) 1.64272 + 2.84528i 0.144076 + 0.249548i
\(131\) 2.84546 4.92847i 0.248609 0.430603i −0.714531 0.699603i \(-0.753360\pi\)
0.963140 + 0.269001i \(0.0866934\pi\)
\(132\) −4.06190 14.2634i −0.353543 1.24147i
\(133\) −18.4850 7.16554i −1.60285 0.621331i
\(134\) 3.91652i 0.338336i
\(135\) 2.62161 + 8.22086i 0.225632 + 0.707539i
\(136\) −0.537367 + 0.310249i −0.0460788 + 0.0266036i
\(137\) −4.66128 + 2.69119i −0.398240 + 0.229924i −0.685724 0.727861i \(-0.740514\pi\)
0.287484 + 0.957785i \(0.407181\pi\)
\(138\) −1.97886 + 7.87573i −0.168452 + 0.670426i
\(139\) 7.92393i 0.672099i 0.941844 + 0.336049i \(0.109091\pi\)
−0.941844 + 0.336049i \(0.890909\pi\)
\(140\) −8.31141 + 1.28840i −0.702442 + 0.108890i
\(141\) 6.30006 1.79412i 0.530561 0.151092i
\(142\) 3.19995 5.54247i 0.268534 0.465114i
\(143\) 2.23640 + 3.87356i 0.187017 + 0.323923i
\(144\) 11.0084 + 5.90474i 0.917367 + 0.492062i
\(145\) 13.2547 + 7.65259i 1.10074 + 0.635513i
\(146\) 16.2182 1.34223
\(147\) −10.8523 5.40625i −0.895083 0.445900i
\(148\) −5.62730 −0.462561
\(149\) −11.7312 6.77301i −0.961057 0.554866i −0.0645587 0.997914i \(-0.520564\pi\)
−0.896498 + 0.443047i \(0.853897\pi\)
\(150\) −5.34796 + 5.51785i −0.436659 + 0.450531i
\(151\) −1.63095 2.82488i −0.132725 0.229886i 0.792001 0.610519i \(-0.209039\pi\)
−0.924726 + 0.380634i \(0.875706\pi\)
\(152\) 0.635075 1.09998i 0.0515114 0.0892204i
\(153\) −9.33425 + 5.78557i −0.754629 + 0.467736i
\(154\) −23.1366 + 3.58656i −1.86440 + 0.289013i
\(155\) 15.6637i 1.25814i
\(156\) 3.21575 + 0.807993i 0.257466 + 0.0646912i
\(157\) −3.60598 + 2.08191i −0.287789 + 0.166155i −0.636944 0.770910i \(-0.719802\pi\)
0.349156 + 0.937065i \(0.386468\pi\)
\(158\) 11.8150 6.82139i 0.939951 0.542681i
\(159\) −16.1896 4.06780i −1.28392 0.322598i
\(160\) 13.1177i 1.03704i
\(161\) 5.84582 + 2.26608i 0.460715 + 0.178592i
\(162\) 15.9469 + 7.92196i 1.25290 + 0.622408i
\(163\) −2.60571 + 4.51321i −0.204095 + 0.353502i −0.949844 0.312724i \(-0.898758\pi\)
0.745749 + 0.666227i \(0.232092\pi\)
\(164\) 0.228816 + 0.396321i 0.0178675 + 0.0309475i
\(165\) 8.95352 9.23796i 0.697031 0.719174i
\(166\) −5.00018 2.88685i −0.388089 0.224063i
\(167\) −20.6748 −1.59986 −0.799931 0.600092i \(-0.795131\pi\)
−0.799931 + 0.600092i \(0.795131\pi\)
\(168\) 0.448783 0.634014i 0.0346244 0.0489152i
\(169\) −1.00000 −0.0769231
\(170\) 10.4155 + 6.01339i 0.798832 + 0.461206i
\(171\) 10.6257 19.8099i 0.812570 1.51490i
\(172\) 8.38698 + 14.5267i 0.639501 + 1.10765i
\(173\) −9.06403 + 15.6994i −0.689125 + 1.19360i 0.282996 + 0.959121i \(0.408672\pi\)
−0.972121 + 0.234479i \(0.924662\pi\)
\(174\) 30.3759 8.65037i 2.30279 0.655783i
\(175\) 3.71846 + 4.62291i 0.281089 + 0.349459i
\(176\) 18.6248i 1.40390i
\(177\) 0.123003 0.489542i 0.00924546 0.0367962i
\(178\) −4.54928 + 2.62653i −0.340983 + 0.196867i
\(179\) −8.61227 + 4.97230i −0.643711 + 0.371647i −0.786043 0.618172i \(-0.787873\pi\)
0.142331 + 0.989819i \(0.454540\pi\)
\(180\) −0.298152 9.53215i −0.0222230 0.710484i
\(181\) 9.37972i 0.697189i 0.937274 + 0.348595i \(0.113341\pi\)
−0.937274 + 0.348595i \(0.886659\pi\)
\(182\) 1.89194 4.88066i 0.140240 0.361778i
\(183\) −3.77600 13.2595i −0.279130 0.980168i
\(184\) −0.200840 + 0.347866i −0.0148061 + 0.0256450i
\(185\) −2.44074 4.22748i −0.179447 0.310811i
\(186\) 23.2106 + 22.4959i 1.70188 + 1.64948i
\(187\) 14.1796 + 8.18660i 1.03692 + 0.598663i
\(188\) −7.23989 −0.528023
\(189\) 7.58808 11.4639i 0.551952 0.833876i
\(190\) −24.6187 −1.78602
\(191\) 13.0628 + 7.54180i 0.945189 + 0.545705i 0.891583 0.452857i \(-0.149595\pi\)
0.0536062 + 0.998562i \(0.482928\pi\)
\(192\) −9.07999 8.80043i −0.655292 0.635116i
\(193\) 6.39611 + 11.0784i 0.460402 + 0.797440i 0.998981 0.0451353i \(-0.0143719\pi\)
−0.538579 + 0.842575i \(0.681039\pi\)
\(194\) −2.43197 + 4.21230i −0.174605 + 0.302425i
\(195\) 0.787772 + 2.76627i 0.0564135 + 0.198097i
\(196\) 9.89917 + 9.03181i 0.707084 + 0.645129i
\(197\) 0.683281i 0.0486818i −0.999704 0.0243409i \(-0.992251\pi\)
0.999704 0.0243409i \(-0.00774871\pi\)
\(198\) −0.829973 26.5348i −0.0589836 1.88575i
\(199\) −11.1348 + 6.42866i −0.789322 + 0.455716i −0.839724 0.543013i \(-0.817283\pi\)
0.0504015 + 0.998729i \(0.483950\pi\)
\(200\) −0.329176 + 0.190050i −0.0232762 + 0.0134385i
\(201\) −0.835534 + 3.32536i −0.0589340 + 0.234553i
\(202\) 4.58136i 0.322343i
\(203\) −3.73545 24.0971i −0.262177 1.69129i
\(204\) 11.6734 3.32433i 0.817303 0.232750i
\(205\) −0.198489 + 0.343794i −0.0138631 + 0.0240116i
\(206\) 11.3343 + 19.6316i 0.789700 + 1.36780i
\(207\) −3.36035 + 6.26481i −0.233560 + 0.435434i
\(208\) 3.60614 + 2.08201i 0.250041 + 0.144361i
\(209\) −33.5157 −2.31833
\(210\) −14.9916 1.38877i −1.03452 0.0958344i
\(211\) −5.22713 −0.359851 −0.179925 0.983680i \(-0.557586\pi\)
−0.179925 + 0.983680i \(0.557586\pi\)
\(212\) 15.9777 + 9.22473i 1.09735 + 0.633557i
\(213\) 3.89936 4.02323i 0.267180 0.275667i
\(214\) −13.9348 24.1357i −0.952561 1.64988i
\(215\) −7.27539 + 12.6013i −0.496178 + 0.859405i
\(216\) 0.651321 + 0.592920i 0.0443168 + 0.0403431i
\(217\) 19.4460 15.6415i 1.32008 1.06182i
\(218\) 7.57469i 0.513022i
\(219\) 13.7703 + 3.45993i 0.930508 + 0.233801i
\(220\) −12.3138 + 7.10937i −0.830195 + 0.479313i
\(221\) −3.17019 + 1.83031i −0.213250 + 0.123120i
\(222\) −9.76967 2.45474i −0.655698 0.164751i
\(223\) 3.56027i 0.238413i 0.992869 + 0.119207i \(0.0380351\pi\)
−0.992869 + 0.119207i \(0.961965\pi\)
\(224\) −16.2853 + 13.0991i −1.08810 + 0.875223i
\(225\) −5.71790 + 3.54408i −0.381193 + 0.236272i
\(226\) −11.2175 + 19.4293i −0.746178 + 1.29242i
\(227\) −2.51486 4.35586i −0.166917 0.289109i 0.770417 0.637540i \(-0.220048\pi\)
−0.937334 + 0.348431i \(0.886715\pi\)
\(228\) −17.2915 + 17.8408i −1.14516 + 1.18154i
\(229\) 7.82163 + 4.51582i 0.516868 + 0.298414i 0.735652 0.677359i \(-0.236876\pi\)
−0.218784 + 0.975773i \(0.570209\pi\)
\(230\) 7.78556 0.513365
\(231\) −20.4095 1.89067i −1.34285 0.124397i
\(232\) 1.56228 0.102569
\(233\) 10.3939 + 6.00093i 0.680929 + 0.393134i 0.800205 0.599727i \(-0.204724\pi\)
−0.119276 + 0.992861i \(0.538057\pi\)
\(234\) 5.23047 + 2.80555i 0.341927 + 0.183404i
\(235\) −3.14017 5.43893i −0.204842 0.354797i
\(236\) −0.278939 + 0.483136i −0.0181574 + 0.0314495i
\(237\) 11.4869 3.27121i 0.746154 0.212488i
\(238\) −2.93530 18.9354i −0.190267 1.22740i
\(239\) 6.71827i 0.434569i −0.976108 0.217284i \(-0.930280\pi\)
0.976108 0.217284i \(-0.0697199\pi\)
\(240\) 2.91857 11.6157i 0.188393 0.749790i
\(241\) −4.22933 + 2.44180i −0.272435 + 0.157290i −0.629994 0.776600i \(-0.716943\pi\)
0.357559 + 0.933891i \(0.383609\pi\)
\(242\) −15.4307 + 8.90894i −0.991925 + 0.572688i
\(243\) 11.8498 + 10.1283i 0.760166 + 0.649728i
\(244\) 15.2375i 0.975480i
\(245\) −2.49152 + 11.3541i −0.159177 + 0.725386i
\(246\) 0.224369 + 0.787875i 0.0143053 + 0.0502331i
\(247\) 3.74662 6.48934i 0.238392 0.412907i
\(248\) 0.799434 + 1.38466i 0.0507641 + 0.0879261i
\(249\) −3.62958 3.51783i −0.230016 0.222933i
\(250\) 20.6066 + 11.8973i 1.30328 + 0.752448i
\(251\) 25.1424 1.58697 0.793486 0.608589i \(-0.208264\pi\)
0.793486 + 0.608589i \(0.208264\pi\)
\(252\) −11.5362 + 9.88882i −0.726711 + 0.622937i
\(253\) 10.5992 0.666368
\(254\) −25.9367 14.9746i −1.62742 0.939589i
\(255\) 7.56051 + 7.32773i 0.473458 + 0.458880i
\(256\) −8.64076 14.9662i −0.540048 0.935390i
\(257\) −3.51489 + 6.08797i −0.219253 + 0.379757i −0.954580 0.297955i \(-0.903695\pi\)
0.735327 + 0.677713i \(0.237029\pi\)
\(258\) 8.22399 + 28.8786i 0.512003 + 1.79790i
\(259\) −2.81102 + 7.25161i −0.174668 + 0.450593i
\(260\) 3.17894i 0.197149i
\(261\) 27.6364 0.864428i 1.71065 0.0535068i
\(262\) −9.75081 + 5.62963i −0.602407 + 0.347800i
\(263\) −15.5382 + 8.97100i −0.958128 + 0.553175i −0.895596 0.444868i \(-0.853251\pi\)
−0.0625315 + 0.998043i \(0.519917\pi\)
\(264\) 0.320005 1.27360i 0.0196950 0.0783844i
\(265\) 16.0042i 0.983131i
\(266\) 24.5838 + 30.5634i 1.50733 + 1.87396i
\(267\) −4.42294 + 1.25956i −0.270680 + 0.0770836i
\(268\) 1.89477 3.28185i 0.115742 0.200471i
\(269\) 9.26511 + 16.0476i 0.564904 + 0.978442i 0.997059 + 0.0766428i \(0.0244201\pi\)
−0.432155 + 0.901799i \(0.642247\pi\)
\(270\) 3.64048 16.6790i 0.221553 1.01505i
\(271\) −8.71622 5.03231i −0.529472 0.305691i 0.211329 0.977415i \(-0.432221\pi\)
−0.740802 + 0.671724i \(0.765554\pi\)
\(272\) 15.2429 0.924234
\(273\) 2.64759 3.74036i 0.160240 0.226377i
\(274\) 10.6489 0.643321
\(275\) 8.68603 + 5.01488i 0.523787 + 0.302409i
\(276\) 5.46839 5.64211i 0.329158 0.339615i
\(277\) −12.6513 21.9127i −0.760144 1.31661i −0.942776 0.333427i \(-0.891795\pi\)
0.182632 0.983181i \(-0.441538\pi\)
\(278\) 7.83861 13.5769i 0.470128 0.814286i
\(279\) 14.9080 + 24.0521i 0.892518 + 1.43996i
\(280\) −0.694388 0.269173i −0.0414976 0.0160862i
\(281\) 0.566180i 0.0337755i 0.999857 + 0.0168877i \(0.00537579\pi\)
−0.999857 + 0.0168877i \(0.994624\pi\)
\(282\) −12.5693 3.15818i −0.748492 0.188067i
\(283\) −12.3001 + 7.10146i −0.731165 + 0.422138i −0.818848 0.574010i \(-0.805387\pi\)
0.0876833 + 0.996148i \(0.472054\pi\)
\(284\) −5.36279 + 3.09621i −0.318223 + 0.183726i
\(285\) −20.9027 5.25204i −1.23817 0.311104i
\(286\) 8.84927i 0.523268i
\(287\) 0.625019 0.0968882i 0.0368937 0.00571913i
\(288\) −12.4848 20.1426i −0.735676 1.18691i
\(289\) 1.79994 3.11759i 0.105879 0.183387i
\(290\) −15.1404 26.2239i −0.889074 1.53992i
\(291\) −2.96352 + 3.05767i −0.173725 + 0.179244i
\(292\) −13.5901 7.84623i −0.795298 0.459166i
\(293\) −14.1555 −0.826971 −0.413486 0.910511i \(-0.635689\pi\)
−0.413486 + 0.910511i \(0.635689\pi\)
\(294\) 13.2463 + 19.9985i 0.772540 + 1.16634i
\(295\) −0.483938 −0.0281759
\(296\) −0.431520 0.249138i −0.0250816 0.0144809i
\(297\) 4.95613 22.7067i 0.287584 1.31758i
\(298\) 13.4002 + 23.2098i 0.776250 + 1.34451i
\(299\) −1.18486 + 2.05223i −0.0685219 + 0.118683i
\(300\) 7.15081 2.03639i 0.412852 0.117571i
\(301\) 22.9093 3.55132i 1.32047 0.204695i
\(302\) 6.45354i 0.371360i
\(303\) −0.977368 + 3.88985i −0.0561483 + 0.223466i
\(304\) −27.0217 + 15.6010i −1.54980 + 0.894777i
\(305\) −11.4471 + 6.60898i −0.655458 + 0.378429i
\(306\) 21.7166 0.679265i 1.24145 0.0388310i
\(307\) 23.7299i 1.35434i −0.735828 0.677169i \(-0.763207\pi\)
0.735828 0.677169i \(-0.236793\pi\)
\(308\) 21.1225 + 8.18793i 1.20356 + 0.466550i
\(309\) 5.43540 + 19.0865i 0.309209 + 1.08579i
\(310\) 15.4950 26.8381i 0.880057 1.52430i
\(311\) −0.593615 1.02817i −0.0336608 0.0583023i 0.848704 0.528868i \(-0.177383\pi\)
−0.882365 + 0.470566i \(0.844050\pi\)
\(312\) 0.210822 + 0.204331i 0.0119354 + 0.0115680i
\(313\) −16.6913 9.63675i −0.943450 0.544701i −0.0524100 0.998626i \(-0.516690\pi\)
−0.891040 + 0.453924i \(0.850024\pi\)
\(314\) 8.23799 0.464896
\(315\) −12.4325 4.37740i −0.700493 0.246639i
\(316\) −13.2005 −0.742586
\(317\) −16.9147 9.76571i −0.950025 0.548497i −0.0569360 0.998378i \(-0.518133\pi\)
−0.893089 + 0.449881i \(0.851466\pi\)
\(318\) 23.7152 + 22.9850i 1.32988 + 1.28894i
\(319\) −20.6121 35.7011i −1.15405 1.99888i
\(320\) −6.06166 + 10.4991i −0.338857 + 0.586918i
\(321\) −6.68244 23.4655i −0.372978 1.30971i
\(322\) −7.77455 9.66557i −0.433259 0.538641i
\(323\) 27.4299i 1.52624i
\(324\) −9.53010 14.3531i −0.529450 0.797397i
\(325\) −1.94197 + 1.12120i −0.107721 + 0.0621927i
\(326\) 8.92924 5.15530i 0.494545 0.285526i
\(327\) −1.61595 + 6.43137i −0.0893623 + 0.355655i
\(328\) 0.0405216i 0.00223743i
\(329\) −3.61656 + 9.32968i −0.199387 + 0.514362i
\(330\) −24.4795 + 6.97121i −1.34755 + 0.383752i
\(331\) 14.9745 25.9366i 0.823073 1.42560i −0.0803101 0.996770i \(-0.525591\pi\)
0.903383 0.428834i \(-0.141076\pi\)
\(332\) 2.79326 + 4.83808i 0.153300 + 0.265524i
\(333\) −7.77136 4.16844i −0.425868 0.228429i
\(334\) 35.4242 + 20.4522i 1.93833 + 1.11909i
\(335\) 3.28729 0.179604
\(336\) −17.3350 + 7.97594i −0.945703 + 0.435123i
\(337\) −2.19666 −0.119660 −0.0598299 0.998209i \(-0.519056\pi\)
−0.0598299 + 0.998209i \(0.519056\pi\)
\(338\) 1.71340 + 0.989233i 0.0931967 + 0.0538072i
\(339\) −13.6693 + 14.1036i −0.742415 + 0.766000i
\(340\) −5.81844 10.0778i −0.315549 0.546547i
\(341\) 21.0948 36.5373i 1.14235 1.97861i
\(342\) −37.8027 + 23.4310i −2.04414 + 1.26700i
\(343\) 16.5838 8.24487i 0.895440 0.445181i
\(344\) 1.48527i 0.0800804i
\(345\) 6.61041 + 1.66094i 0.355893 + 0.0894220i
\(346\) 31.0606 17.9329i 1.66983 0.964077i
\(347\) −19.5066 + 11.2622i −1.04717 + 0.604584i −0.921856 0.387533i \(-0.873327\pi\)
−0.125315 + 0.992117i \(0.539994\pi\)
\(348\) −29.6384 7.44698i −1.58879 0.399200i
\(349\) 15.2888i 0.818392i −0.912446 0.409196i \(-0.865809\pi\)
0.912446 0.409196i \(-0.134191\pi\)
\(350\) −1.79808 11.5993i −0.0961116 0.620010i
\(351\) 3.84246 + 3.49793i 0.205095 + 0.186705i
\(352\) −17.6661 + 30.5985i −0.941604 + 1.63091i
\(353\) 1.68278 + 2.91467i 0.0895656 + 0.155132i 0.907328 0.420424i \(-0.138119\pi\)
−0.817762 + 0.575557i \(0.804785\pi\)
\(354\) −0.695024 + 0.717104i −0.0369401 + 0.0381136i
\(355\) −4.65202 2.68584i −0.246904 0.142550i
\(356\) 5.08275 0.269385
\(357\) 1.54736 16.7035i 0.0818949 0.884045i
\(358\) 19.6750 1.03986
\(359\) −5.81709 3.35850i −0.307014 0.177255i 0.338575 0.940939i \(-0.390055\pi\)
−0.645590 + 0.763685i \(0.723388\pi\)
\(360\) 0.399155 0.744157i 0.0210373 0.0392205i
\(361\) 18.5743 + 32.1717i 0.977596 + 1.69325i
\(362\) 9.27873 16.0712i 0.487679 0.844685i
\(363\) −15.0022 + 4.27230i −0.787412 + 0.224237i
\(364\) −3.94657 + 3.17444i −0.206856 + 0.166386i
\(365\) 13.6126i 0.712517i
\(366\) −6.64689 + 26.4541i −0.347438 + 1.38278i
\(367\) 21.3627 12.3337i 1.11512 0.643816i 0.174971 0.984574i \(-0.444017\pi\)
0.940151 + 0.340757i \(0.110683\pi\)
\(368\) 8.54550 4.93375i 0.445465 0.257189i
\(369\) 0.0224211 + 0.716819i 0.00116720 + 0.0373161i
\(370\) 9.65783i 0.502086i
\(371\) 19.8688 15.9816i 1.03154 0.829722i
\(372\) −8.56597 30.0795i −0.444125 1.55955i
\(373\) −12.6042 + 21.8310i −0.652618 + 1.13037i 0.329867 + 0.944027i \(0.392996\pi\)
−0.982485 + 0.186340i \(0.940337\pi\)
\(374\) −16.1969 28.0539i −0.837522 1.45063i
\(375\) 14.9582 + 14.4976i 0.772437 + 0.748654i
\(376\) −0.555179 0.320533i −0.0286312 0.0165302i
\(377\) 9.21663 0.474681
\(378\) −24.3419 + 12.1359i −1.25201 + 0.624202i
\(379\) 6.55272 0.336591 0.168295 0.985737i \(-0.446174\pi\)
0.168295 + 0.985737i \(0.446174\pi\)
\(380\) 20.6292 + 11.9103i 1.05825 + 0.610984i
\(381\) −18.8272 18.2476i −0.964549 0.934851i
\(382\) −14.9212 25.8443i −0.763434 1.32231i
\(383\) 9.75860 16.9024i 0.498641 0.863672i −0.501358 0.865240i \(-0.667166\pi\)
0.999999 + 0.00156853i \(0.000499279\pi\)
\(384\) −0.642704 2.25686i −0.0327979 0.115170i
\(385\) 3.01034 + 19.4195i 0.153421 + 0.989709i
\(386\) 25.3090i 1.28819i
\(387\) 0.821820 + 26.2742i 0.0417754 + 1.33559i
\(388\) 4.07574 2.35313i 0.206914 0.119462i
\(389\) 7.87564 4.54700i 0.399311 0.230542i −0.286876 0.957968i \(-0.592617\pi\)
0.686186 + 0.727426i \(0.259283\pi\)
\(390\) 1.38671 5.51902i 0.0702190 0.279466i
\(391\) 8.67460i 0.438694i
\(392\) 0.359235 + 1.13086i 0.0181441 + 0.0571169i
\(393\) −9.48003 + 2.69970i −0.478204 + 0.136182i
\(394\) −0.675924 + 1.17073i −0.0340526 + 0.0589807i
\(395\) −5.72547 9.91680i −0.288080 0.498968i
\(396\) −12.1418 + 22.6364i −0.610149 + 1.13752i
\(397\) 10.5125 + 6.06939i 0.527607 + 0.304614i 0.740041 0.672561i \(-0.234806\pi\)
−0.212435 + 0.977175i \(0.568139\pi\)
\(398\) 25.4378 1.27508
\(399\) 14.3529 + 31.1948i 0.718544 + 1.56169i
\(400\) 9.33734 0.466867
\(401\) 16.2882 + 9.40398i 0.813393 + 0.469612i 0.848133 0.529784i \(-0.177727\pi\)
−0.0347400 + 0.999396i \(0.511060\pi\)
\(402\) 4.72116 4.87114i 0.235470 0.242951i
\(403\) 4.71625 + 8.16879i 0.234933 + 0.406916i
\(404\) 2.21642 3.83895i 0.110271 0.190995i
\(405\) 6.64922 13.3848i 0.330402 0.665099i
\(406\) −17.4373 + 44.9832i −0.865400 + 2.23248i
\(407\) 13.1481i 0.651728i
\(408\) 1.04233 + 0.261898i 0.0516032 + 0.0129659i
\(409\) 20.8615 12.0444i 1.03154 0.595558i 0.114112 0.993468i \(-0.463598\pi\)
0.917425 + 0.397910i \(0.130264\pi\)
\(410\) 0.680184 0.392704i 0.0335919 0.0193943i
\(411\) 9.04152 + 2.27178i 0.445985 + 0.112059i
\(412\) 21.9338i 1.08060i
\(413\) 0.483253 + 0.600796i 0.0237793 + 0.0295632i
\(414\) 11.9550 7.40996i 0.587555 0.364180i
\(415\) −2.42305 + 4.19685i −0.118943 + 0.206015i
\(416\) −3.94967 6.84103i −0.193648 0.335409i
\(417\) 9.55188 9.85532i 0.467758 0.482617i
\(418\) 57.4259 + 33.1549i 2.80879 + 1.62166i
\(419\) 4.00341 0.195579 0.0977896 0.995207i \(-0.468823\pi\)
0.0977896 + 0.995207i \(0.468823\pi\)
\(420\) 11.8904 + 8.41653i 0.580190 + 0.410684i
\(421\) −37.6994 −1.83736 −0.918678 0.395008i \(-0.870742\pi\)
−0.918678 + 0.395008i \(0.870742\pi\)
\(422\) 8.95618 + 5.17085i 0.435980 + 0.251713i
\(423\) −9.99836 5.36297i −0.486137 0.260757i
\(424\) 0.816815 + 1.41476i 0.0396680 + 0.0687070i
\(425\) −4.10427 + 7.10880i −0.199086 + 0.344828i
\(426\) −10.6611 + 3.03604i −0.516531 + 0.147096i
\(427\) 19.6358 + 7.61162i 0.950241 + 0.368352i
\(428\) 26.9660i 1.30345i
\(429\) 1.88787 7.51357i 0.0911471 0.362758i
\(430\) 24.9313 14.3941i 1.20230 0.694145i
\(431\) −28.6874 + 16.5627i −1.38182 + 0.797797i −0.992376 0.123251i \(-0.960668\pi\)
−0.389449 + 0.921048i \(0.627335\pi\)
\(432\) −6.57375 20.6140i −0.316280 0.991793i
\(433\) 19.1277i 0.919220i 0.888121 + 0.459610i \(0.152011\pi\)
−0.888121 + 0.459610i \(0.847989\pi\)
\(434\) −48.7920 + 7.56355i −2.34209 + 0.363062i
\(435\) −7.26060 25.4957i −0.348119 1.22242i
\(436\) 3.66456 6.34720i 0.175501 0.303976i
\(437\) −8.87840 15.3778i −0.424712 0.735622i
\(438\) −20.1713 19.5502i −0.963823 0.934147i
\(439\) −23.7149 13.6918i −1.13185 0.653475i −0.187451 0.982274i \(-0.560023\pi\)
−0.944400 + 0.328799i \(0.893356\pi\)
\(440\) −1.25902 −0.0600212
\(441\) 6.98052 + 19.8059i 0.332406 + 0.943137i
\(442\) 7.24240 0.344486
\(443\) −26.8557 15.5052i −1.27595 0.736673i −0.299853 0.953985i \(-0.596938\pi\)
−0.976102 + 0.217313i \(0.930271\pi\)
\(444\) 6.99891 + 6.78342i 0.332154 + 0.321927i
\(445\) 2.20455 + 3.81839i 0.104506 + 0.181009i
\(446\) 3.52194 6.10017i 0.166768 0.288851i
\(447\) 6.42607 + 22.5652i 0.303943 + 1.06730i
\(448\) 19.0874 2.95887i 0.901797 0.139793i
\(449\) 24.0940i 1.13707i 0.822660 + 0.568534i \(0.192489\pi\)
−0.822660 + 0.568534i \(0.807511\pi\)
\(450\) 13.3030 0.416099i 0.627108 0.0196151i
\(451\) 0.925999 0.534626i 0.0436036 0.0251745i
\(452\) 18.7994 10.8538i 0.884250 0.510522i
\(453\) −1.37677 + 5.47945i −0.0646864 + 0.257447i
\(454\) 9.95112i 0.467029i
\(455\) −4.09653 1.58798i −0.192048 0.0744457i
\(456\) −2.11584 + 0.602545i −0.0990834 + 0.0282167i
\(457\) −16.2472 + 28.1409i −0.760010 + 1.31638i 0.182835 + 0.983144i \(0.441473\pi\)
−0.942845 + 0.333232i \(0.891861\pi\)
\(458\) −8.93440 15.4748i −0.417477 0.723091i
\(459\) 18.5836 + 4.05619i 0.867409 + 0.189327i
\(460\) −6.52391 3.76658i −0.304179 0.175618i
\(461\) −1.83092 −0.0852744 −0.0426372 0.999091i \(-0.513576\pi\)
−0.0426372 + 0.999091i \(0.513576\pi\)
\(462\) 33.0994 + 23.4293i 1.53992 + 1.09003i
\(463\) −1.94725 −0.0904963 −0.0452482 0.998976i \(-0.514408\pi\)
−0.0452482 + 0.998976i \(0.514408\pi\)
\(464\) −33.2365 19.1891i −1.54296 0.890831i
\(465\) 18.8817 19.4816i 0.875620 0.903436i
\(466\) −11.8726 20.5640i −0.549989 0.952610i
\(467\) 6.90469 11.9593i 0.319511 0.553409i −0.660875 0.750496i \(-0.729815\pi\)
0.980386 + 0.197087i \(0.0631480\pi\)
\(468\) −3.02557 4.88136i −0.139857 0.225641i
\(469\) −3.28264 4.08109i −0.151578 0.188447i
\(470\) 12.4254i 0.573142i
\(471\) 6.99455 + 1.75746i 0.322292 + 0.0809794i
\(472\) −0.0427799 + 0.0246990i −0.00196910 + 0.00113686i
\(473\) 33.9414 19.5961i 1.56063 0.901029i
\(474\) −22.9177 5.75831i −1.05264 0.264488i
\(475\) 16.8028i 0.770964i
\(476\) −6.70115 + 17.2870i −0.307147 + 0.792349i
\(477\) 15.2321 + 24.5750i 0.697430 + 1.12521i
\(478\) −6.64593 + 11.5111i −0.303978 + 0.526505i
\(479\) 4.56382 + 7.90478i 0.208526 + 0.361178i 0.951251 0.308419i \(-0.0997999\pi\)
−0.742724 + 0.669598i \(0.766467\pi\)
\(480\) −15.8127 + 16.3150i −0.721747 + 0.744675i
\(481\) −2.54575 1.46979i −0.116076 0.0670166i
\(482\) 9.66205 0.440094
\(483\) −4.53905 9.86524i −0.206534 0.448884i
\(484\) 17.2402 0.783647
\(485\) 3.53555 + 2.04125i 0.160541 + 0.0926884i
\(486\) −10.2843 29.0760i −0.466505 1.31891i
\(487\) −0.594466 1.02965i −0.0269378 0.0466577i 0.852242 0.523147i \(-0.175242\pi\)
−0.879180 + 0.476490i \(0.841909\pi\)
\(488\) −0.674611 + 1.16846i −0.0305382 + 0.0528937i
\(489\) 8.68127 2.47223i 0.392581 0.111798i
\(490\) 15.5008 16.9894i 0.700255 0.767503i
\(491\) 12.4760i 0.563036i −0.959556 0.281518i \(-0.909162\pi\)
0.959556 0.281518i \(-0.0908379\pi\)
\(492\) 0.193156 0.768747i 0.00870815 0.0346578i
\(493\) 29.2185 16.8693i 1.31593 0.759754i
\(494\) −12.8389 + 7.41256i −0.577650 + 0.333507i
\(495\) −22.2718 + 0.696630i −1.00104 + 0.0313112i
\(496\) 39.2771i 1.76359i
\(497\) 1.31104 + 8.45741i 0.0588080 + 0.379366i
\(498\) 2.73898 + 9.61796i 0.122737 + 0.430991i
\(499\) −11.2646 + 19.5109i −0.504273 + 0.873426i 0.495715 + 0.868485i \(0.334906\pi\)
−0.999988 + 0.00494058i \(0.998427\pi\)
\(500\) −11.5116 19.9386i −0.514812 0.891681i
\(501\) 25.7141 + 24.9224i 1.14882 + 1.11345i
\(502\) −43.0789 24.8716i −1.92271 1.11008i
\(503\) −1.98498 −0.0885057 −0.0442529 0.999020i \(-0.514091\pi\)
−0.0442529 + 0.999020i \(0.514091\pi\)
\(504\) −1.32244 + 0.247565i −0.0589062 + 0.0110274i
\(505\) 3.84532 0.171114
\(506\) −18.1607 10.4851i −0.807343 0.466120i
\(507\) 1.24374 + 1.20545i 0.0552365 + 0.0535358i
\(508\) 14.4891 + 25.0959i 0.642851 + 1.11345i
\(509\) −7.39959 + 12.8165i −0.327981 + 0.568080i −0.982111 0.188302i \(-0.939702\pi\)
0.654130 + 0.756382i \(0.273035\pi\)
\(510\) −5.70536 20.0344i −0.252638 0.887140i
\(511\) −16.8997 + 13.5934i −0.747599 + 0.601335i
\(512\) 31.4813i 1.39129i
\(513\) −37.0955 + 11.8296i −1.63780 + 0.522291i
\(514\) 12.0448 6.95409i 0.531275 0.306732i
\(515\) 16.4776 9.51336i 0.726091 0.419209i
\(516\) 7.07991 28.1775i 0.311676 1.24045i
\(517\) 16.9159i 0.743961i
\(518\) 11.9899 9.64417i 0.526808 0.423741i
\(519\) 30.1981 8.59974i 1.32555 0.377487i
\(520\) 0.140741 0.243771i 0.00617192 0.0106901i
\(521\) −21.2426 36.7933i −0.930655 1.61194i −0.782204 0.623022i \(-0.785905\pi\)
−0.148451 0.988920i \(-0.547429\pi\)
\(522\) −48.2073 25.8577i −2.10998 1.13176i
\(523\) −32.8045 18.9397i −1.43444 0.828176i −0.436987 0.899468i \(-0.643954\pi\)
−0.997455 + 0.0712925i \(0.977288\pi\)
\(524\) 10.8942 0.475917
\(525\) 0.947868 10.2321i 0.0413683 0.446566i
\(526\) 35.4976 1.54777
\(527\) 29.9028 + 17.2644i 1.30259 + 0.752049i
\(528\) −22.4512 + 23.1644i −0.977063 + 1.00810i
\(529\) −8.69224 15.0554i −0.377923 0.654582i
\(530\) 15.8319 27.4216i 0.687693 1.19112i
\(531\) −0.743101 + 0.460591i −0.0322479 + 0.0199879i
\(532\) −5.81374 37.5040i −0.252057 1.62601i
\(533\) 0.239057i 0.0103547i
\(534\) 8.82427 + 2.21720i 0.381864 + 0.0959474i
\(535\) −20.2581 + 11.6960i −0.875833 + 0.505662i
\(536\) 0.290595 0.167775i 0.0125518 0.00724678i
\(537\) 16.7053 + 4.19739i 0.720887 + 0.181131i
\(538\) 36.6614i 1.58059i
\(539\) 21.1027 23.1293i 0.908958 0.996250i
\(540\) −11.1197 + 12.2149i −0.478515 + 0.525647i
\(541\) −13.3516 + 23.1257i −0.574031 + 0.994251i 0.422115 + 0.906542i \(0.361288\pi\)
−0.996146 + 0.0877087i \(0.972046\pi\)
\(542\) 9.95625 + 17.2447i 0.427658 + 0.740725i
\(543\) 11.3068 11.6660i 0.485220 0.500634i
\(544\) −25.0424 14.4582i −1.07368 0.619891i
\(545\) 6.35774 0.272336
\(546\) −8.23647 + 3.78964i −0.352488 + 0.162182i
\(547\) 16.6645 0.712522 0.356261 0.934386i \(-0.384051\pi\)
0.356261 + 0.934386i \(0.384051\pi\)
\(548\) −8.92320 5.15181i −0.381180 0.220075i
\(549\) −11.2872 + 21.0431i −0.481727 + 0.898099i
\(550\) −9.92176 17.1850i −0.423065 0.732771i
\(551\) −34.5312 + 59.8098i −1.47108 + 2.54798i
\(552\) 0.669128 0.190553i 0.0284800 0.00811046i
\(553\) −6.59408 + 17.0108i −0.280409 + 0.723373i
\(554\) 50.0604i 2.12686i
\(555\) −2.06036 + 8.20008i −0.0874574 + 0.348074i
\(556\) −13.1367 + 7.58448i −0.557121 + 0.321654i
\(557\) −39.4422 + 22.7720i −1.67122 + 0.964880i −0.704264 + 0.709938i \(0.748723\pi\)
−0.966956 + 0.254942i \(0.917944\pi\)
\(558\) −1.75030 55.9583i −0.0740960 2.36890i
\(559\) 8.76234i 0.370607i
\(560\) 11.4665 + 14.2555i 0.484547 + 0.602404i
\(561\) −7.76726 27.2748i −0.327934 1.15154i
\(562\) 0.560084 0.970094i 0.0236257 0.0409210i
\(563\) 7.84648 + 13.5905i 0.330690 + 0.572772i 0.982647 0.185484i \(-0.0593853\pi\)
−0.651957 + 0.758256i \(0.726052\pi\)
\(564\) 9.00456 + 8.72731i 0.379160 + 0.367486i
\(565\) 16.3078 + 9.41531i 0.686074 + 0.396105i
\(566\) 28.1000 1.18113
\(567\) −23.2568 + 5.11109i −0.976692 + 0.214646i
\(568\) −0.548315 −0.0230068
\(569\) 0.145164 + 0.0838103i 0.00608558 + 0.00351351i 0.503040 0.864263i \(-0.332215\pi\)
−0.496954 + 0.867777i \(0.665548\pi\)
\(570\) 30.6193 + 29.6765i 1.28250 + 1.24301i
\(571\) −13.7193 23.7625i −0.574135 0.994431i −0.996135 0.0878352i \(-0.972005\pi\)
0.422000 0.906596i \(-0.361328\pi\)
\(572\) −4.28119 + 7.41524i −0.179006 + 0.310047i
\(573\) −7.15548 25.1266i −0.298925 1.04968i
\(574\) −1.16675 0.452281i −0.0486994 0.0188779i
\(575\) 5.31382i 0.221602i
\(576\) 0.684718 + 21.8909i 0.0285299 + 0.912122i
\(577\) 28.4050 16.3996i 1.18252 0.682726i 0.225921 0.974146i \(-0.427461\pi\)
0.956595 + 0.291420i \(0.0941276\pi\)
\(578\) −6.16804 + 3.56112i −0.256556 + 0.148123i
\(579\) 5.39931 21.4888i 0.224388 0.893046i
\(580\) 29.2991i 1.21658i
\(581\) 7.62990 1.18276i 0.316542 0.0490692i
\(582\) 8.10245 2.30740i 0.335857 0.0956447i
\(583\) 21.5535 37.3317i 0.892653 1.54612i
\(584\) −0.694754 1.20335i −0.0287491 0.0497949i
\(585\) 2.35481 4.39014i 0.0973593 0.181510i
\(586\) 24.2540 + 14.0030i 1.00192 + 0.578461i
\(587\) 13.6770 0.564509 0.282255 0.959340i \(-0.408918\pi\)
0.282255 + 0.959340i \(0.408918\pi\)
\(588\) −1.42464 23.1662i −0.0587513 0.955357i
\(589\) −70.6800 −2.91232
\(590\) 0.829179 + 0.478727i 0.0341368 + 0.0197089i
\(591\) −0.823660 + 0.849826i −0.0338808 + 0.0349572i
\(592\) 6.12021 + 10.6005i 0.251539 + 0.435679i
\(593\) 6.16297 10.6746i 0.253083 0.438353i −0.711290 0.702899i \(-0.751889\pi\)
0.964373 + 0.264546i \(0.0852221\pi\)
\(594\) −30.9541 + 34.0030i −1.27006 + 1.39516i
\(595\) −15.8933 + 2.46372i −0.651561 + 0.101003i
\(596\) 25.9315i 1.06219i
\(597\) 21.5982 + 5.42678i 0.883955 + 0.222103i
\(598\) 4.06026 2.34419i 0.166037 0.0958612i
\(599\) −8.51459 + 4.91590i −0.347897 + 0.200858i −0.663759 0.747947i \(-0.731040\pi\)
0.315862 + 0.948805i \(0.397706\pi\)
\(600\) 0.638505 + 0.160431i 0.0260668 + 0.00654958i
\(601\) 2.02669i 0.0826703i 0.999145 + 0.0413351i \(0.0131611\pi\)
−0.999145 + 0.0413351i \(0.986839\pi\)
\(602\) −42.7660 16.5778i −1.74301 0.675662i
\(603\) 5.04774 3.12870i 0.205560 0.127411i
\(604\) 3.12216 5.40774i 0.127039 0.220038i
\(605\) 7.47763 + 12.9516i 0.304009 + 0.526559i
\(606\) 5.52259 5.69803i 0.224340 0.231467i
\(607\) −2.33089 1.34574i −0.0946078 0.0546218i 0.451950 0.892043i \(-0.350729\pi\)
−0.546557 + 0.837422i \(0.684062\pi\)
\(608\) 59.1916 2.40054
\(609\) −24.4019 + 34.4735i −0.988814 + 1.39694i
\(610\) 26.1513 1.05883
\(611\) −3.27527 1.89098i −0.132503 0.0765008i
\(612\) −18.5260 9.93709i −0.748870 0.401683i
\(613\) −0.665332 1.15239i −0.0268725 0.0465445i 0.852276 0.523092i \(-0.175221\pi\)
−0.879149 + 0.476547i \(0.841888\pi\)
\(614\) −23.4744 + 40.6589i −0.947350 + 1.64086i
\(615\) 0.661295 0.188322i 0.0266660 0.00759388i
\(616\) 1.25724 + 1.56303i 0.0506555 + 0.0629765i
\(617\) 13.2786i 0.534576i 0.963617 + 0.267288i \(0.0861274\pi\)
−0.963617 + 0.267288i \(0.913873\pi\)
\(618\) 9.56793 38.0796i 0.384879 1.53179i
\(619\) 9.75477 5.63192i 0.392077 0.226366i −0.290982 0.956728i \(-0.593982\pi\)
0.683060 + 0.730362i \(0.260649\pi\)
\(620\) −25.9681 + 14.9927i −1.04290 + 0.602120i
\(621\) 11.7313 3.74108i 0.470761 0.150124i
\(622\) 2.34889i 0.0941821i
\(623\) 2.53900 6.54988i 0.101723 0.262415i
\(624\) −1.97536 6.93649i −0.0790776 0.277682i
\(625\) 4.37986 7.58614i 0.175194 0.303446i
\(626\) 19.0660 + 33.0232i 0.762029 + 1.31987i
\(627\) 41.6849 + 40.4015i 1.66474 + 1.61348i
\(628\) −6.90302 3.98546i −0.275460 0.159037i
\(629\) −10.7607 −0.429056
\(630\) 16.9716 + 19.7989i 0.676166 + 0.788807i
\(631\) −17.1242 −0.681703 −0.340851 0.940117i \(-0.610715\pi\)
−0.340851 + 0.940117i \(0.610715\pi\)
\(632\) −1.01226 0.584427i −0.0402654 0.0232473i
\(633\) 6.50121 + 6.30104i 0.258400 + 0.250444i
\(634\) 19.3211 + 33.4652i 0.767340 + 1.32907i
\(635\) −12.5688 + 21.7697i −0.498776 + 0.863906i
\(636\) −8.75221 30.7335i −0.347048 1.21866i
\(637\) 2.11930 + 6.67147i 0.0839698 + 0.264333i
\(638\) 81.5605i 3.22901i
\(639\) −9.69959 + 0.303390i −0.383710 + 0.0120019i
\(640\) −1.94838 + 1.12490i −0.0770165 + 0.0444655i
\(641\) −35.5658 + 20.5339i −1.40476 + 0.811041i −0.994877 0.101095i \(-0.967766\pi\)
−0.409888 + 0.912136i \(0.634432\pi\)
\(642\) −11.7631 + 46.8162i −0.464252 + 1.84769i
\(643\) 2.30359i 0.0908449i 0.998968 + 0.0454224i \(0.0144634\pi\)
−0.998968 + 0.0454224i \(0.985537\pi\)
\(644\) 1.83857 + 11.8605i 0.0724499 + 0.467370i
\(645\) 24.2390 6.90272i 0.954409 0.271794i
\(646\) −27.1345 + 46.9984i −1.06759 + 1.84913i
\(647\) 13.5444 + 23.4597i 0.532487 + 0.922294i 0.999280 + 0.0379281i \(0.0120758\pi\)
−0.466794 + 0.884366i \(0.654591\pi\)
\(648\) −0.0953413 1.52257i −0.00374536 0.0598124i
\(649\) 1.12884 + 0.651737i 0.0443109 + 0.0255829i
\(650\) 4.43649 0.174014
\(651\) −43.0409 3.98716i −1.68691 0.156269i
\(652\) −9.97633 −0.390703
\(653\) −17.8995 10.3343i −0.700462 0.404412i 0.107058 0.994253i \(-0.465857\pi\)
−0.807519 + 0.589841i \(0.799190\pi\)
\(654\) 9.13089 9.42096i 0.357046 0.368389i
\(655\) 4.72518 + 8.18425i 0.184628 + 0.319785i
\(656\) 0.497717 0.862072i 0.0194326 0.0336582i
\(657\) −12.9559 20.9026i −0.505458 0.815488i
\(658\) 15.4258 12.4079i 0.601362 0.483709i
\(659\) 46.8367i 1.82450i −0.409635 0.912250i \(-0.634344\pi\)
0.409635 0.912250i \(-0.365656\pi\)
\(660\) 23.8852 + 6.00141i 0.929728 + 0.233604i
\(661\) −7.06585 + 4.07947i −0.274830 + 0.158673i −0.631080 0.775717i \(-0.717388\pi\)
0.356251 + 0.934390i \(0.384055\pi\)
\(662\) −51.3147 + 29.6265i −1.99440 + 1.15147i
\(663\) 6.14924 + 1.54506i 0.238817 + 0.0600053i
\(664\) 0.494666i 0.0191968i
\(665\) 25.6531 20.6342i 0.994784 0.800160i
\(666\) 9.19190 + 14.8299i 0.356179 + 0.574647i
\(667\) 10.9204 18.9146i 0.422839 0.732378i
\(668\) −19.7891 34.2758i −0.765664 1.32617i
\(669\) 4.29172 4.42806i 0.165928 0.171199i
\(670\) −5.63245 3.25190i −0.217601 0.125632i
\(671\) 35.6022 1.37441
\(672\) 36.0450 + 3.33908i 1.39047 + 0.128808i
\(673\) 31.6586 1.22035 0.610175 0.792267i \(-0.291099\pi\)
0.610175 + 0.792267i \(0.291099\pi\)
\(674\) 3.76376 + 2.17301i 0.144975 + 0.0837012i
\(675\) 11.3838 + 2.48471i 0.438163 + 0.0956364i
\(676\) −0.957162 1.65785i −0.0368139 0.0637636i
\(677\) 18.9079 32.7494i 0.726688 1.25866i −0.231588 0.972814i \(-0.574392\pi\)
0.958275 0.285846i \(-0.0922747\pi\)
\(678\) 37.3727 10.6429i 1.43529 0.408739i
\(679\) −0.996392 6.42765i −0.0382380 0.246671i
\(680\) 1.03040i 0.0395141i
\(681\) −2.12293 + 8.44911i −0.0813509 + 0.323770i
\(682\) −72.2878 + 41.7354i −2.76804 + 1.59813i
\(683\) −11.5610 + 6.67474i −0.442369 + 0.255402i −0.704602 0.709603i \(-0.748874\pi\)
0.262233 + 0.965005i \(0.415541\pi\)
\(684\) 43.0124 1.34537i 1.64462 0.0514415i
\(685\) 8.93801i 0.341504i
\(686\) −36.5708 2.27845i −1.39628 0.0869915i
\(687\) −4.28451 15.0451i −0.163464 0.574006i
\(688\) 18.2432 31.5982i 0.695517 1.20467i
\(689\) 4.81879 + 8.34639i 0.183581 + 0.317972i
\(690\) −9.68323 9.38509i −0.368634 0.357284i
\(691\) 35.0206 + 20.2192i 1.33225 + 0.769173i 0.985644 0.168838i \(-0.0540016\pi\)
0.346604 + 0.938012i \(0.387335\pi\)
\(692\) −34.7030 −1.31921
\(693\) 23.1051 + 26.9541i 0.877690 + 1.02390i
\(694\) 44.5636 1.69161
\(695\) −11.3956 6.57926i −0.432260 0.249565i
\(696\) −1.94307 1.88324i −0.0736519 0.0713842i
\(697\) 0.437547 + 0.757854i 0.0165733 + 0.0287058i
\(698\) −15.1242 + 26.1959i −0.572460 + 0.991529i
\(699\) −5.69355 19.9930i −0.215350 0.756203i
\(700\) −4.10493 + 10.5895i −0.155152 + 0.400247i
\(701\) 11.5327i 0.435583i −0.975995 0.217791i \(-0.930115\pi\)
0.975995 0.217791i \(-0.0698853\pi\)
\(702\) −3.12342 9.79444i −0.117886 0.369667i
\(703\) 19.0759 11.0135i 0.719461 0.415381i
\(704\) 28.2791 16.3269i 1.06581 0.615344i
\(705\) −2.65079 + 10.5499i −0.0998345 + 0.397334i
\(706\) 6.65866i 0.250602i
\(707\) −3.83988 4.77386i −0.144414 0.179540i
\(708\) 0.929323 0.264650i 0.0349261 0.00994617i
\(709\) −22.2958 + 38.6174i −0.837335 + 1.45031i 0.0547793 + 0.998498i \(0.482554\pi\)
−0.892115 + 0.451809i \(0.850779\pi\)
\(710\) 5.31385 + 9.20386i 0.199425 + 0.345415i
\(711\) −18.2300 9.77831i −0.683679 0.366715i
\(712\) 0.389762 + 0.225029i 0.0146070 + 0.00843333i
\(713\) 22.3523 0.837100
\(714\) −19.1749 + 27.0892i −0.717604 + 1.01379i
\(715\) −7.42755 −0.277775
\(716\) −16.4867 9.51859i −0.616136 0.355726i
\(717\) −8.09852 + 8.35579i −0.302445 + 0.312053i
\(718\) 6.64467 + 11.5089i 0.247977 + 0.429509i
\(719\) 15.4830 26.8174i 0.577420 1.00012i −0.418354 0.908284i \(-0.637393\pi\)
0.995774 0.0918369i \(-0.0292739\pi\)
\(720\) −17.6321 + 10.9287i −0.657108 + 0.407290i
\(721\) −28.2649 10.9566i −1.05264 0.408046i
\(722\) 73.4973i 2.73529i
\(723\) 8.20366 + 2.06126i 0.305098 + 0.0766591i
\(724\) −15.5502 + 8.97791i −0.577919 + 0.333662i
\(725\) 17.8984 10.3337i 0.664730 0.383782i
\(726\) 29.9311 + 7.52052i 1.11085 + 0.279113i
\(727\) 38.9378i 1.44412i 0.691828 + 0.722062i \(0.256806\pi\)
−0.691828 + 0.722062i \(0.743194\pi\)
\(728\) −0.443178 + 0.0686999i −0.0164253 + 0.00254619i
\(729\) −2.52903 26.8813i −0.0936678 0.995604i
\(730\) −13.4660 + 23.3239i −0.498401 + 0.863255i
\(731\) 16.0378 + 27.7783i 0.593179 + 1.02742i
\(732\) 18.3680 18.9515i 0.678901 0.700468i
\(733\) −4.16409 2.40414i −0.153804 0.0887989i 0.421123 0.907004i \(-0.361636\pi\)
−0.574927 + 0.818205i \(0.694970\pi\)
\(734\) −48.8038 −1.80138
\(735\) 16.7856 11.1182i 0.619145 0.410099i
\(736\) −18.7191 −0.689997
\(737\) −7.66799 4.42712i −0.282454 0.163075i
\(738\) 0.670685 1.25038i 0.0246882 0.0460271i
\(739\) 21.9639 + 38.0427i 0.807957 + 1.39942i 0.914277 + 0.405090i \(0.132760\pi\)
−0.106320 + 0.994332i \(0.533907\pi\)
\(740\) 4.67236 8.09277i 0.171759 0.297496i
\(741\) −12.4824 + 3.55471i −0.458552 + 0.130585i
\(742\) −49.8527 + 7.72799i −1.83015 + 0.283703i
\(743\) 4.52890i 0.166149i −0.996543 0.0830746i \(-0.973526\pi\)
0.996543 0.0830746i \(-0.0264740\pi\)
\(744\) 0.674846 2.68584i 0.0247411 0.0984676i
\(745\) 19.4809 11.2473i 0.713724 0.412069i
\(746\) 43.1919 24.9369i 1.58137 0.913004i
\(747\) 0.273705 + 8.75055i 0.0100143 + 0.320166i
\(748\) 31.3436i 1.14604i
\(749\) 34.7497 + 13.4704i 1.26973 + 0.492198i
\(750\) −11.2878 39.6374i −0.412174 1.44735i
\(751\) 20.7065 35.8648i 0.755592 1.30872i −0.189488 0.981883i \(-0.560683\pi\)
0.945080 0.326840i \(-0.105984\pi\)
\(752\) 7.87405 + 13.6383i 0.287137 + 0.497336i
\(753\) −31.2706 30.3078i −1.13956 1.10448i
\(754\) −15.7918 9.11740i −0.575103 0.332036i
\(755\) 5.41671 0.197134
\(756\) 26.2685 + 1.60712i 0.955376 + 0.0584505i
\(757\) −1.73067 −0.0629024 −0.0314512 0.999505i \(-0.510013\pi\)
−0.0314512 + 0.999505i \(0.510013\pi\)
\(758\) −11.2274 6.48216i −0.407799 0.235443i
\(759\) −13.1827 12.7768i −0.478502 0.463769i
\(760\) 1.05461 + 1.82664i 0.0382547 + 0.0662591i
\(761\) −9.40838 + 16.2958i −0.341053 + 0.590722i −0.984629 0.174661i \(-0.944117\pi\)
0.643575 + 0.765383i \(0.277450\pi\)
\(762\) 14.2075 + 49.8899i 0.514685 + 1.80732i
\(763\) −6.34875 7.89296i −0.229840 0.285744i
\(764\) 28.8749i 1.04466i
\(765\) −0.570134 18.2276i −0.0206133 0.659020i
\(766\) −33.4408 + 19.3070i −1.20826 + 0.697592i
\(767\) −0.252379 + 0.145711i −0.00911289 + 0.00526133i
\(768\) −7.29414 + 29.0301i −0.263205 + 1.04753i
\(769\) 14.7929i 0.533447i −0.963773 0.266724i \(-0.914059\pi\)
0.963773 0.266724i \(-0.0859411\pi\)
\(770\) 14.0525 36.2513i 0.506416 1.30641i
\(771\) 11.7104 3.33485i 0.421738 0.120102i
\(772\) −12.2442 + 21.2076i −0.440679 + 0.763279i
\(773\) 23.9317 + 41.4509i 0.860763 + 1.49088i 0.871194 + 0.490939i \(0.163346\pi\)
−0.0104316 + 0.999946i \(0.503321\pi\)
\(774\) 24.5832 45.8312i 0.883623 1.64737i
\(775\) 18.3176 + 10.5757i 0.657989 + 0.379890i
\(776\) 0.416721