Properties

Label 144.3.w.a.5.9
Level $144$
Weight $3$
Character 144.5
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.9
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.61016 - 1.18633i) q^{2} +(-2.90827 + 0.736170i) q^{3} +(1.18523 + 3.82037i) q^{4} +(-0.295811 - 1.10398i) q^{5} +(5.55613 + 2.26483i) q^{6} +(-7.30360 + 4.21674i) q^{7} +(2.62382 - 7.55748i) q^{8} +(7.91611 - 4.28197i) q^{9} +O(q^{10})\) \(q+(-1.61016 - 1.18633i) q^{2} +(-2.90827 + 0.736170i) q^{3} +(1.18523 + 3.82037i) q^{4} +(-0.295811 - 1.10398i) q^{5} +(5.55613 + 2.26483i) q^{6} +(-7.30360 + 4.21674i) q^{7} +(2.62382 - 7.55748i) q^{8} +(7.91611 - 4.28197i) q^{9} +(-0.833388 + 2.12852i) q^{10} +(16.9180 + 4.53318i) q^{11} +(-6.25941 - 10.2382i) q^{12} +(-3.32968 - 12.4265i) q^{13} +(16.7624 + 1.87488i) q^{14} +(1.67302 + 2.99292i) q^{15} +(-13.1905 + 9.05604i) q^{16} -24.5673i q^{17} +(-17.8260 - 2.49649i) q^{18} +(5.17188 - 5.17188i) q^{19} +(3.86702 - 2.43858i) q^{20} +(18.1366 - 17.6401i) q^{21} +(-21.8629 - 27.3696i) q^{22} +(13.7010 - 23.7307i) q^{23} +(-2.06719 + 23.9108i) q^{24} +(20.5194 - 11.8469i) q^{25} +(-9.38067 + 23.9588i) q^{26} +(-19.8700 + 18.2807i) q^{27} +(-24.7659 - 22.9047i) q^{28} +(-6.54235 + 24.4164i) q^{29} +(0.856766 - 6.80383i) q^{30} +(5.21707 - 9.03623i) q^{31} +(31.9822 + 1.06660i) q^{32} +(-52.5395 - 0.729161i) q^{33} +(-29.1450 + 39.5573i) q^{34} +(6.81569 + 6.81569i) q^{35} +(25.7411 + 25.1673i) q^{36} +(35.3961 + 35.3961i) q^{37} +(-14.4631 + 2.19198i) q^{38} +(18.8316 + 33.6885i) q^{39} +(-9.11949 - 0.661063i) q^{40} +(30.0752 - 52.0917i) q^{41} +(-50.1299 + 6.88732i) q^{42} +(-10.6707 + 39.8237i) q^{43} +(2.73336 + 70.0060i) q^{44} +(-7.06890 - 7.47260i) q^{45} +(-50.2133 + 21.9564i) q^{46} +(16.9574 - 9.79036i) q^{47} +(31.6947 - 36.0478i) q^{48} +(11.0617 - 19.1594i) q^{49} +(-47.0938 - 5.26745i) q^{50} +(18.0857 + 71.4485i) q^{51} +(43.5275 - 27.4489i) q^{52} +(19.0289 - 19.0289i) q^{53} +(53.6808 - 5.86253i) q^{54} -20.0182i q^{55} +(12.7046 + 66.2608i) q^{56} +(-11.2339 + 18.8486i) q^{57} +(39.5002 - 31.5529i) q^{58} +(-5.35828 - 19.9974i) q^{59} +(-9.45114 + 9.93885i) q^{60} +(-39.1049 - 10.4781i) q^{61} +(-19.1203 + 8.36060i) q^{62} +(-39.7602 + 64.6539i) q^{63} +(-50.2311 - 39.6590i) q^{64} +(-12.7337 + 7.35181i) q^{65} +(83.7319 + 63.5034i) q^{66} +(1.23845 + 4.62195i) q^{67} +(93.8563 - 29.1179i) q^{68} +(-22.3763 + 79.1017i) q^{69} +(-2.88868 - 19.0600i) q^{70} -104.125 q^{71} +(-11.5905 - 71.0610i) q^{72} -77.0276i q^{73} +(-15.0019 - 98.9850i) q^{74} +(-50.9546 + 49.5596i) q^{75} +(25.8884 + 13.6286i) q^{76} +(-142.678 + 38.2304i) q^{77} +(9.64383 - 76.5845i) q^{78} +(-22.3815 - 38.7658i) q^{79} +(13.8996 + 11.8832i) q^{80} +(44.3295 - 67.7930i) q^{81} +(-110.224 + 48.1968i) q^{82} +(29.0965 - 108.590i) q^{83} +(88.8878 + 48.3811i) q^{84} +(-27.1219 + 7.26730i) q^{85} +(64.4258 - 51.4635i) q^{86} +(1.05234 - 75.8257i) q^{87} +(78.6493 - 115.964i) q^{88} +28.0553 q^{89} +(2.51707 + 20.4181i) q^{90} +(76.7180 + 76.7180i) q^{91} +(106.899 + 24.2163i) q^{92} +(-8.52047 + 30.1205i) q^{93} +(-38.9188 - 4.35307i) q^{94} +(-7.23957 - 4.17977i) q^{95} +(-93.7982 + 20.4424i) q^{96} +(96.2108 + 166.642i) q^{97} +(-40.5406 + 17.7269i) q^{98} +(153.336 - 36.5574i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} + O(q^{10}) \) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} - 8q^{10} - 6q^{11} - 64q^{12} - 2q^{13} - 6q^{14} - 8q^{15} - 2q^{16} + 54q^{18} - 8q^{19} + 120q^{20} - 22q^{21} - 2q^{22} - 160q^{24} + 44q^{27} - 72q^{28} - 6q^{29} - 90q^{30} - 4q^{31} - 6q^{32} - 8q^{33} + 6q^{34} - 202q^{36} - 8q^{37} - 6q^{38} - 2q^{40} + 44q^{42} - 2q^{43} + 46q^{45} - 160q^{46} - 12q^{47} - 118q^{48} + 472q^{49} + 228q^{50} - 48q^{51} - 2q^{52} + 206q^{54} - 300q^{56} - 92q^{58} - 438q^{59} - 90q^{60} - 2q^{61} - 204q^{63} + 244q^{64} - 12q^{65} - 508q^{66} - 2q^{67} - 144q^{68} + 14q^{69} + 96q^{70} + 6q^{72} + 246q^{74} + 152q^{75} - 158q^{76} - 6q^{77} + 304q^{78} - 4q^{79} - 8q^{81} - 388q^{82} - 726q^{83} + 542q^{84} + 48q^{85} + 894q^{86} + 22q^{88} - 528q^{90} - 204q^{91} - 348q^{92} + 62q^{93} - 18q^{94} - 12q^{95} + 262q^{96} - 4q^{97} + 286q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.61016 1.18633i −0.805080 0.593166i
\(3\) −2.90827 + 0.736170i −0.969424 + 0.245390i
\(4\) 1.18523 + 3.82037i 0.296308 + 0.955093i
\(5\) −0.295811 1.10398i −0.0591623 0.220797i 0.930015 0.367521i \(-0.119794\pi\)
−0.989177 + 0.146725i \(0.953127\pi\)
\(6\) 5.55613 + 2.26483i 0.926021 + 0.377471i
\(7\) −7.30360 + 4.21674i −1.04337 + 0.602391i −0.920786 0.390067i \(-0.872452\pi\)
−0.122585 + 0.992458i \(0.539118\pi\)
\(8\) 2.62382 7.55748i 0.327977 0.944686i
\(9\) 7.91611 4.28197i 0.879568 0.475774i
\(10\) −0.833388 + 2.12852i −0.0833388 + 0.212852i
\(11\) 16.9180 + 4.53318i 1.53800 + 0.412107i 0.925620 0.378454i \(-0.123544\pi\)
0.612384 + 0.790561i \(0.290211\pi\)
\(12\) −6.25941 10.2382i −0.521618 0.853179i
\(13\) −3.32968 12.4265i −0.256129 0.955886i −0.967459 0.253028i \(-0.918574\pi\)
0.711330 0.702858i \(-0.248093\pi\)
\(14\) 16.7624 + 1.87488i 1.19732 + 0.133920i
\(15\) 1.67302 + 2.99292i 0.111535 + 0.199528i
\(16\) −13.1905 + 9.05604i −0.824404 + 0.566002i
\(17\) 24.5673i 1.44514i −0.691299 0.722569i \(-0.742961\pi\)
0.691299 0.722569i \(-0.257039\pi\)
\(18\) −17.8260 2.49649i −0.990335 0.138694i
\(19\) 5.17188 5.17188i 0.272204 0.272204i −0.557783 0.829987i \(-0.688348\pi\)
0.829987 + 0.557783i \(0.188348\pi\)
\(20\) 3.86702 2.43858i 0.193351 0.121929i
\(21\) 18.1366 17.6401i 0.863649 0.840005i
\(22\) −21.8629 27.3696i −0.993768 1.24407i
\(23\) 13.7010 23.7307i 0.595694 1.03177i −0.397755 0.917492i \(-0.630211\pi\)
0.993449 0.114280i \(-0.0364560\pi\)
\(24\) −2.06719 + 23.9108i −0.0861330 + 0.996284i
\(25\) 20.5194 11.8469i 0.820774 0.473874i
\(26\) −9.38067 + 23.9588i −0.360795 + 0.921492i
\(27\) −19.8700 + 18.2807i −0.735924 + 0.677064i
\(28\) −24.7659 22.9047i −0.884498 0.818023i
\(29\) −6.54235 + 24.4164i −0.225598 + 0.841944i 0.756566 + 0.653917i \(0.226876\pi\)
−0.982164 + 0.188026i \(0.939791\pi\)
\(30\) 0.856766 6.80383i 0.0285589 0.226794i
\(31\) 5.21707 9.03623i 0.168293 0.291491i −0.769527 0.638614i \(-0.779508\pi\)
0.937820 + 0.347123i \(0.112841\pi\)
\(32\) 31.9822 + 1.06660i 0.999444 + 0.0333314i
\(33\) −52.5395 0.729161i −1.59211 0.0220958i
\(34\) −29.1450 + 39.5573i −0.857207 + 1.16345i
\(35\) 6.81569 + 6.81569i 0.194734 + 0.194734i
\(36\) 25.7411 + 25.1673i 0.715031 + 0.699093i
\(37\) 35.3961 + 35.3961i 0.956652 + 0.956652i 0.999099 0.0424465i \(-0.0135152\pi\)
−0.0424465 + 0.999099i \(0.513515\pi\)
\(38\) −14.4631 + 2.19198i −0.380608 + 0.0576838i
\(39\) 18.8316 + 33.6885i 0.482862 + 0.863808i
\(40\) −9.11949 0.661063i −0.227987 0.0165266i
\(41\) 30.0752 52.0917i 0.733541 1.27053i −0.221820 0.975088i \(-0.571200\pi\)
0.955361 0.295442i \(-0.0954669\pi\)
\(42\) −50.1299 + 6.88732i −1.19357 + 0.163984i
\(43\) −10.6707 + 39.8237i −0.248157 + 0.926133i 0.723614 + 0.690205i \(0.242480\pi\)
−0.971771 + 0.235928i \(0.924187\pi\)
\(44\) 2.73336 + 70.0060i 0.0621219 + 1.59105i
\(45\) −7.06890 7.47260i −0.157087 0.166058i
\(46\) −50.2133 + 21.9564i −1.09159 + 0.477313i
\(47\) 16.9574 9.79036i 0.360796 0.208306i −0.308634 0.951181i \(-0.599872\pi\)
0.669430 + 0.742875i \(0.266538\pi\)
\(48\) 31.6947 36.0478i 0.660306 0.750997i
\(49\) 11.0617 19.1594i 0.225749 0.391009i
\(50\) −47.0938 5.26745i −0.941875 0.105349i
\(51\) 18.0857 + 71.4485i 0.354622 + 1.40095i
\(52\) 43.5275 27.4489i 0.837067 0.527863i
\(53\) 19.0289 19.0289i 0.359035 0.359035i −0.504422 0.863457i \(-0.668294\pi\)
0.863457 + 0.504422i \(0.168294\pi\)
\(54\) 53.6808 5.86253i 0.994089 0.108565i
\(55\) 20.0182i 0.363967i
\(56\) 12.7046 + 66.2608i 0.226868 + 1.18323i
\(57\) −11.2339 + 18.8486i −0.197085 + 0.330678i
\(58\) 39.5002 31.5529i 0.681037 0.544015i
\(59\) −5.35828 19.9974i −0.0908183 0.338938i 0.905534 0.424274i \(-0.139471\pi\)
−0.996352 + 0.0853352i \(0.972804\pi\)
\(60\) −9.45114 + 9.93885i −0.157519 + 0.165648i
\(61\) −39.1049 10.4781i −0.641065 0.171773i −0.0763790 0.997079i \(-0.524336\pi\)
−0.564686 + 0.825306i \(0.691003\pi\)
\(62\) −19.1203 + 8.36060i −0.308392 + 0.134848i
\(63\) −39.7602 + 64.6539i −0.631114 + 1.02625i
\(64\) −50.2311 39.6590i −0.784862 0.619671i
\(65\) −12.7337 + 7.35181i −0.195903 + 0.113105i
\(66\) 83.7319 + 63.5034i 1.26867 + 0.962172i
\(67\) 1.23845 + 4.62195i 0.0184843 + 0.0689843i 0.974552 0.224162i \(-0.0719644\pi\)
−0.956068 + 0.293146i \(0.905298\pi\)
\(68\) 93.8563 29.1179i 1.38024 0.428205i
\(69\) −22.3763 + 79.1017i −0.324294 + 1.14640i
\(70\) −2.88868 19.0600i −0.0412668 0.272286i
\(71\) −104.125 −1.46655 −0.733277 0.679930i \(-0.762010\pi\)
−0.733277 + 0.679930i \(0.762010\pi\)
\(72\) −11.5905 71.0610i −0.160979 0.986958i
\(73\) 77.0276i 1.05517i −0.849502 0.527586i \(-0.823097\pi\)
0.849502 0.527586i \(-0.176903\pi\)
\(74\) −15.0019 98.9850i −0.202728 1.33764i
\(75\) −50.9546 + 49.5596i −0.679395 + 0.660795i
\(76\) 25.8884 + 13.6286i 0.340636 + 0.179324i
\(77\) −142.678 + 38.2304i −1.85296 + 0.496499i
\(78\) 9.64383 76.5845i 0.123639 0.981852i
\(79\) −22.3815 38.7658i −0.283310 0.490707i 0.688888 0.724868i \(-0.258099\pi\)
−0.972198 + 0.234161i \(0.924766\pi\)
\(80\) 13.8996 + 11.8832i 0.173745 + 0.148540i
\(81\) 44.3295 67.7930i 0.547278 0.836951i
\(82\) −110.224 + 48.1968i −1.34419 + 0.587766i
\(83\) 29.0965 108.590i 0.350561 1.30831i −0.535419 0.844586i \(-0.679846\pi\)
0.885980 0.463724i \(-0.153487\pi\)
\(84\) 88.8878 + 48.3811i 1.05819 + 0.575965i
\(85\) −27.1219 + 7.26730i −0.319082 + 0.0854976i
\(86\) 64.4258 51.4635i 0.749137 0.598413i
\(87\) 1.05234 75.8257i 0.0120958 0.871560i
\(88\) 78.6493 115.964i 0.893742 1.31777i
\(89\) 28.0553 0.315228 0.157614 0.987501i \(-0.449620\pi\)
0.157614 + 0.987501i \(0.449620\pi\)
\(90\) 2.51707 + 20.4181i 0.0279674 + 0.226868i
\(91\) 76.7180 + 76.7180i 0.843054 + 0.843054i
\(92\) 106.899 + 24.2163i 1.16195 + 0.263221i
\(93\) −8.52047 + 30.1205i −0.0916179 + 0.323876i
\(94\) −38.9188 4.35307i −0.414029 0.0463093i
\(95\) −7.23957 4.17977i −0.0762060 0.0439976i
\(96\) −93.7982 + 20.4424i −0.977065 + 0.212941i
\(97\) 96.2108 + 166.642i 0.991864 + 1.71796i 0.606178 + 0.795329i \(0.292702\pi\)
0.385686 + 0.922630i \(0.373965\pi\)
\(98\) −40.5406 + 17.7269i −0.413680 + 0.180887i
\(99\) 153.336 36.5574i 1.54885 0.369267i
\(100\) 69.5795 + 64.3503i 0.695795 + 0.643503i
\(101\) −42.7321 11.4500i −0.423090 0.113367i 0.0409908 0.999160i \(-0.486949\pi\)
−0.464081 + 0.885793i \(0.653615\pi\)
\(102\) 55.6408 136.499i 0.545498 1.33823i
\(103\) −15.2760 8.81960i −0.148311 0.0856272i 0.424008 0.905658i \(-0.360623\pi\)
−0.572319 + 0.820031i \(0.693956\pi\)
\(104\) −102.650 7.44097i −0.987016 0.0715478i
\(105\) −24.8394 14.8044i −0.236566 0.140994i
\(106\) −53.2141 + 8.06495i −0.502020 + 0.0760845i
\(107\) −22.8922 + 22.8922i −0.213946 + 0.213946i −0.805941 0.591995i \(-0.798340\pi\)
0.591995 + 0.805941i \(0.298340\pi\)
\(108\) −93.3896 54.2437i −0.864719 0.502256i
\(109\) 137.907 137.907i 1.26521 1.26521i 0.316670 0.948536i \(-0.397435\pi\)
0.948536 0.316670i \(-0.102565\pi\)
\(110\) −23.7482 + 32.2325i −0.215893 + 0.293023i
\(111\) −128.999 76.8841i −1.16215 0.692649i
\(112\) 58.1509 121.762i 0.519205 1.08716i
\(113\) −78.9607 45.5880i −0.698767 0.403433i 0.108121 0.994138i \(-0.465517\pi\)
−0.806888 + 0.590704i \(0.798850\pi\)
\(114\) 40.4490 17.0222i 0.354816 0.149318i
\(115\) −30.2512 8.10580i −0.263054 0.0704852i
\(116\) −101.034 + 3.94483i −0.870981 + 0.0340072i
\(117\) −79.5680 84.1121i −0.680068 0.718907i
\(118\) −15.0958 + 38.5557i −0.127931 + 0.326743i
\(119\) 103.594 + 179.430i 0.870537 + 1.50782i
\(120\) 27.0086 4.79095i 0.225072 0.0399245i
\(121\) 160.881 + 92.8849i 1.32960 + 0.767644i
\(122\) 50.5347 + 63.2629i 0.414218 + 0.518549i
\(123\) −49.1184 + 173.637i −0.399337 + 1.41169i
\(124\) 40.7052 + 9.22113i 0.328268 + 0.0743639i
\(125\) −39.3529 39.3529i −0.314823 0.314823i
\(126\) 140.721 56.9343i 1.11684 0.451860i
\(127\) −151.084 −1.18964 −0.594820 0.803859i \(-0.702777\pi\)
−0.594820 + 0.803859i \(0.702777\pi\)
\(128\) 33.8315 + 123.448i 0.264308 + 0.964438i
\(129\) 1.71639 123.674i 0.0133053 0.958711i
\(130\) 29.2250 + 3.26882i 0.224808 + 0.0251448i
\(131\) 101.463 27.1870i 0.774528 0.207534i 0.150157 0.988662i \(-0.452022\pi\)
0.624371 + 0.781128i \(0.285355\pi\)
\(132\) −59.4857 201.585i −0.450649 1.52716i
\(133\) −15.9649 + 59.5818i −0.120037 + 0.447983i
\(134\) 3.48907 8.91128i 0.0260378 0.0665021i
\(135\) 26.0594 + 16.5284i 0.193032 + 0.122433i
\(136\) −185.667 64.4603i −1.36520 0.473972i
\(137\) 7.58164 + 13.1318i 0.0553404 + 0.0958524i 0.892368 0.451308i \(-0.149042\pi\)
−0.837028 + 0.547160i \(0.815709\pi\)
\(138\) 129.870 100.821i 0.941089 0.730585i
\(139\) 96.7880 25.9343i 0.696316 0.186577i 0.106736 0.994287i \(-0.465960\pi\)
0.589580 + 0.807710i \(0.299293\pi\)
\(140\) −17.9603 + 34.1166i −0.128288 + 0.243690i
\(141\) −42.1094 + 40.9566i −0.298648 + 0.290472i
\(142\) 167.658 + 123.527i 1.18069 + 0.869910i
\(143\) 225.326i 1.57571i
\(144\) −65.6394 + 128.170i −0.455830 + 0.890067i
\(145\) 28.8906 0.199245
\(146\) −91.3803 + 124.027i −0.625893 + 0.849498i
\(147\) −18.0659 + 63.8642i −0.122897 + 0.434450i
\(148\) −93.2738 + 177.179i −0.630228 + 1.19715i
\(149\) 13.0558 + 48.7248i 0.0876226 + 0.327012i 0.995798 0.0915780i \(-0.0291911\pi\)
−0.908175 + 0.418590i \(0.862524\pi\)
\(150\) 140.839 19.3498i 0.938929 0.128999i
\(151\) −134.952 + 77.9144i −0.893719 + 0.515989i −0.875157 0.483839i \(-0.839242\pi\)
−0.0185621 + 0.999828i \(0.505909\pi\)
\(152\) −25.5163 52.6565i −0.167871 0.346424i
\(153\) −105.197 194.478i −0.687559 1.27110i
\(154\) 275.088 + 107.706i 1.78629 + 0.699391i
\(155\) −11.5191 3.08654i −0.0743169 0.0199132i
\(156\) −106.383 + 111.872i −0.681941 + 0.717131i
\(157\) 31.9482 + 119.232i 0.203492 + 0.759441i 0.989904 + 0.141739i \(0.0452695\pi\)
−0.786412 + 0.617702i \(0.788064\pi\)
\(158\) −9.95143 + 88.9710i −0.0629837 + 0.563108i
\(159\) −41.3327 + 69.3496i −0.259954 + 0.436161i
\(160\) −8.28319 35.6234i −0.0517700 0.222646i
\(161\) 231.093i 1.43536i
\(162\) −151.803 + 56.5680i −0.937054 + 0.349185i
\(163\) 33.7357 33.7357i 0.206968 0.206968i −0.596010 0.802977i \(-0.703248\pi\)
0.802977 + 0.596010i \(0.203248\pi\)
\(164\) 234.656 + 53.1576i 1.43083 + 0.324132i
\(165\) 14.7368 + 58.2184i 0.0893139 + 0.352839i
\(166\) −175.674 + 140.329i −1.05827 + 0.845353i
\(167\) 17.9611 31.1095i 0.107551 0.186284i −0.807226 0.590242i \(-0.799032\pi\)
0.914778 + 0.403958i \(0.132366\pi\)
\(168\) −85.7276 183.352i −0.510283 1.09138i
\(169\) 3.02666 1.74744i 0.0179092 0.0103399i
\(170\) 52.2921 + 20.4741i 0.307600 + 0.120436i
\(171\) 18.7953 63.0870i 0.109914 0.368930i
\(172\) −164.789 + 6.43412i −0.958073 + 0.0374077i
\(173\) −60.7945 + 226.888i −0.351413 + 1.31149i 0.533525 + 0.845784i \(0.320867\pi\)
−0.884938 + 0.465708i \(0.845800\pi\)
\(174\) −91.6490 + 120.843i −0.526718 + 0.694501i
\(175\) −99.9101 + 173.049i −0.570915 + 0.988854i
\(176\) −264.209 + 93.4157i −1.50119 + 0.530771i
\(177\) 30.3048 + 54.2132i 0.171214 + 0.306289i
\(178\) −45.1735 33.2829i −0.253784 0.186983i
\(179\) −118.155 118.155i −0.660084 0.660084i 0.295315 0.955400i \(-0.404575\pi\)
−0.955400 + 0.295315i \(0.904575\pi\)
\(180\) 20.1698 35.8625i 0.112055 0.199236i
\(181\) 124.484 + 124.484i 0.687758 + 0.687758i 0.961736 0.273978i \(-0.0883395\pi\)
−0.273978 + 0.961736i \(0.588339\pi\)
\(182\) −32.5152 214.541i −0.178655 1.17880i
\(183\) 121.442 + 1.68541i 0.663615 + 0.00920987i
\(184\) −143.396 165.810i −0.779326 0.901141i
\(185\) 28.6062 49.5473i 0.154628 0.267823i
\(186\) 49.4522 38.3907i 0.265872 0.206402i
\(187\) 111.368 415.631i 0.595551 2.22263i
\(188\) 57.5012 + 53.1797i 0.305858 + 0.282871i
\(189\) 68.0372 217.301i 0.359985 1.14974i
\(190\) 6.69827 + 15.3186i 0.0352541 + 0.0806244i
\(191\) 222.153 128.260i 1.16311 0.671519i 0.211059 0.977473i \(-0.432309\pi\)
0.952046 + 0.305954i \(0.0989754\pi\)
\(192\) 175.282 + 78.3604i 0.912925 + 0.408127i
\(193\) −89.5278 + 155.067i −0.463875 + 0.803454i −0.999150 0.0412233i \(-0.986875\pi\)
0.535275 + 0.844678i \(0.320208\pi\)
\(194\) 42.7781 382.458i 0.220505 1.97143i
\(195\) 31.6209 30.7553i 0.162159 0.157719i
\(196\) 86.3069 + 19.5515i 0.440341 + 0.0997525i
\(197\) −119.579 + 119.579i −0.607001 + 0.607001i −0.942161 0.335160i \(-0.891210\pi\)
0.335160 + 0.942161i \(0.391210\pi\)
\(198\) −290.265 123.044i −1.46598 0.621435i
\(199\) 100.925i 0.507160i −0.967314 0.253580i \(-0.918392\pi\)
0.967314 0.253580i \(-0.0816081\pi\)
\(200\) −35.6933 186.159i −0.178467 0.930794i
\(201\) −7.00428 12.5302i −0.0348472 0.0623392i
\(202\) 55.2219 + 69.1308i 0.273376 + 0.342232i
\(203\) −55.1747 205.915i −0.271796 1.01436i
\(204\) −251.524 + 153.777i −1.23296 + 0.753810i
\(205\) −66.4050 17.7932i −0.323927 0.0867959i
\(206\) 14.1338 + 32.3234i 0.0686107 + 0.156910i
\(207\) 6.84395 246.522i 0.0330626 1.19093i
\(208\) 156.455 + 133.758i 0.752187 + 0.643066i
\(209\) 110.943 64.0530i 0.530828 0.306474i
\(210\) 22.4325 + 53.3052i 0.106821 + 0.253834i
\(211\) 29.4879 + 110.050i 0.139753 + 0.521565i 0.999933 + 0.0115745i \(0.00368435\pi\)
−0.860180 + 0.509990i \(0.829649\pi\)
\(212\) 95.2509 + 50.1437i 0.449297 + 0.236527i
\(213\) 302.825 76.6539i 1.42171 0.359877i
\(214\) 64.0179 9.70235i 0.299149 0.0453381i
\(215\) 47.1212 0.219169
\(216\) 86.0212 + 198.132i 0.398246 + 0.917279i
\(217\) 87.9960i 0.405512i
\(218\) −385.657 + 58.4490i −1.76907 + 0.268114i
\(219\) 56.7054 + 224.017i 0.258929 + 1.02291i
\(220\) 76.4770 23.7262i 0.347623 0.107846i
\(221\) −305.286 + 81.8013i −1.38139 + 0.370141i
\(222\) 116.499 + 276.832i 0.524772 + 1.24699i
\(223\) −200.546 347.356i −0.899310 1.55765i −0.828378 0.560170i \(-0.810736\pi\)
−0.0709322 0.997481i \(-0.522597\pi\)
\(224\) −238.083 + 127.071i −1.06287 + 0.567279i
\(225\) 111.706 181.644i 0.496469 0.807308i
\(226\) 73.0568 + 167.078i 0.323260 + 0.739281i
\(227\) −65.6717 + 245.090i −0.289303 + 1.07969i 0.656335 + 0.754470i \(0.272106\pi\)
−0.945637 + 0.325223i \(0.894561\pi\)
\(228\) −85.3234 20.5775i −0.374226 0.0902524i
\(229\) −170.322 + 45.6375i −0.743762 + 0.199291i −0.610750 0.791824i \(-0.709132\pi\)
−0.133013 + 0.991114i \(0.542465\pi\)
\(230\) 39.0932 + 48.9397i 0.169970 + 0.212781i
\(231\) 386.802 216.220i 1.67447 0.936016i
\(232\) 167.360 + 113.508i 0.721381 + 0.489258i
\(233\) 71.8190 0.308236 0.154118 0.988052i \(-0.450746\pi\)
0.154118 + 0.988052i \(0.450746\pi\)
\(234\) 28.3323 + 229.828i 0.121078 + 0.982171i
\(235\) −15.8246 15.8246i −0.0673387 0.0673387i
\(236\) 70.0466 44.1721i 0.296807 0.187170i
\(237\) 93.6296 + 96.2650i 0.395062 + 0.406182i
\(238\) 46.0608 411.808i 0.193533 1.73029i
\(239\) 362.619 + 209.358i 1.51723 + 0.875975i 0.999795 + 0.0202550i \(0.00644781\pi\)
0.517439 + 0.855720i \(0.326886\pi\)
\(240\) −49.1719 24.3270i −0.204883 0.101363i
\(241\) −51.2827 88.8242i −0.212791 0.368565i 0.739796 0.672831i \(-0.234922\pi\)
−0.952587 + 0.304266i \(0.901589\pi\)
\(242\) −148.852 340.418i −0.615093 1.40669i
\(243\) −79.0152 + 229.795i −0.325165 + 0.945657i
\(244\) −6.31799 161.814i −0.0258934 0.663174i
\(245\) −24.4239 6.54436i −0.0996894 0.0267117i
\(246\) 285.080 221.313i 1.15886 0.899647i
\(247\) −81.4891 47.0478i −0.329916 0.190477i
\(248\) −54.6025 63.1374i −0.220171 0.254586i
\(249\) −4.68017 + 337.229i −0.0187959 + 1.35433i
\(250\) 16.6788 + 110.050i 0.0667153 + 0.440200i
\(251\) 62.0221 62.0221i 0.247100 0.247100i −0.572679 0.819779i \(-0.694096\pi\)
0.819779 + 0.572679i \(0.194096\pi\)
\(252\) −294.127 75.2688i −1.16717 0.298686i
\(253\) 339.369 339.369i 1.34138 1.34138i
\(254\) 243.270 + 179.236i 0.957755 + 0.705654i
\(255\) 73.5280 41.1016i 0.288345 0.161183i
\(256\) 91.9764 238.907i 0.359283 0.933229i
\(257\) 256.170 + 147.900i 0.996770 + 0.575486i 0.907291 0.420503i \(-0.138146\pi\)
0.0894793 + 0.995989i \(0.471480\pi\)
\(258\) −149.482 + 197.098i −0.579387 + 0.763947i
\(259\) −407.775 109.263i −1.57442 0.421865i
\(260\) −43.1790 39.9339i −0.166073 0.153592i
\(261\) 52.7602 + 221.297i 0.202146 + 0.847880i
\(262\) −195.625 76.5937i −0.746660 0.292342i
\(263\) −118.843 205.842i −0.451874 0.782670i 0.546628 0.837376i \(-0.315911\pi\)
−0.998503 + 0.0547060i \(0.982578\pi\)
\(264\) −143.365 + 395.153i −0.543048 + 1.49679i
\(265\) −26.6365 15.3786i −0.100515 0.0580324i
\(266\) 96.3898 76.9965i 0.362368 0.289461i
\(267\) −81.5925 + 20.6535i −0.305590 + 0.0773538i
\(268\) −16.1897 + 10.2094i −0.0604093 + 0.0380948i
\(269\) 315.651 + 315.651i 1.17342 + 1.17342i 0.981388 + 0.192034i \(0.0615083\pi\)
0.192034 + 0.981388i \(0.438492\pi\)
\(270\) −22.3515 57.5285i −0.0827835 0.213069i
\(271\) 80.8855 0.298470 0.149235 0.988802i \(-0.452319\pi\)
0.149235 + 0.988802i \(0.452319\pi\)
\(272\) 222.483 + 324.054i 0.817951 + 1.19138i
\(273\) −279.594 166.639i −1.02415 0.610401i
\(274\) 3.37101 30.1386i 0.0123030 0.109995i
\(275\) 400.851 107.408i 1.45764 0.390574i
\(276\) −328.719 + 8.26817i −1.19101 + 0.0299571i
\(277\) 47.9836 179.077i 0.173226 0.646489i −0.823621 0.567141i \(-0.808050\pi\)
0.996847 0.0793479i \(-0.0252838\pi\)
\(278\) −186.611 73.0644i −0.671262 0.262822i
\(279\) 2.60605 93.8711i 0.00934069 0.336456i
\(280\) 69.3927 33.6264i 0.247831 0.120094i
\(281\) −206.291 357.306i −0.734131 1.27155i −0.955104 0.296272i \(-0.904257\pi\)
0.220973 0.975280i \(-0.429077\pi\)
\(282\) 116.391 15.9909i 0.412734 0.0567053i
\(283\) 362.186 97.0475i 1.27981 0.342924i 0.446029 0.895019i \(-0.352838\pi\)
0.833781 + 0.552095i \(0.186171\pi\)
\(284\) −123.412 397.797i −0.434551 1.40069i
\(285\) 24.1317 + 6.82635i 0.0846725 + 0.0239521i
\(286\) −267.312 + 362.812i −0.934657 + 1.26857i
\(287\) 507.276i 1.76751i
\(288\) 257.742 128.503i 0.894937 0.446193i
\(289\) −314.554 −1.08842
\(290\) −46.5184 34.2738i −0.160408 0.118186i
\(291\) −402.484 413.813i −1.38311 1.42204i
\(292\) 294.274 91.2954i 1.00779 0.312655i
\(293\) −29.8227 111.300i −0.101784 0.379862i 0.896177 0.443697i \(-0.146333\pi\)
−0.997960 + 0.0638351i \(0.979667\pi\)
\(294\) 104.853 81.3995i 0.356643 0.276869i
\(295\) −20.4917 + 11.8309i −0.0694635 + 0.0401047i
\(296\) 360.379 174.633i 1.21750 0.589975i
\(297\) −419.030 + 219.200i −1.41088 + 0.738048i
\(298\) 36.7819 93.9432i 0.123429 0.315246i
\(299\) −340.510 91.2394i −1.13883 0.305149i
\(300\) −249.729 135.926i −0.832430 0.453086i
\(301\) −89.9913 335.852i −0.298974 1.11579i
\(302\) 309.726 + 34.6429i 1.02558 + 0.114712i
\(303\) 132.706 + 1.84174i 0.437973 + 0.00607833i
\(304\) −21.3827 + 115.056i −0.0703380 + 0.378474i
\(305\) 46.2708i 0.151707i
\(306\) −61.3320 + 437.938i −0.200431 + 1.43117i
\(307\) −176.941 + 176.941i −0.576354 + 0.576354i −0.933897 0.357543i \(-0.883615\pi\)
0.357543 + 0.933897i \(0.383615\pi\)
\(308\) −315.160 499.770i −1.02325 1.62263i
\(309\) 50.9195 + 14.4041i 0.164788 + 0.0466151i
\(310\) 14.8860 + 18.6353i 0.0480192 + 0.0601140i
\(311\) −164.587 + 285.073i −0.529219 + 0.916633i 0.470201 + 0.882559i \(0.344181\pi\)
−0.999419 + 0.0340739i \(0.989152\pi\)
\(312\) 304.011 53.9272i 0.974395 0.172844i
\(313\) 120.452 69.5430i 0.384830 0.222182i −0.295087 0.955470i \(-0.595349\pi\)
0.679918 + 0.733288i \(0.262015\pi\)
\(314\) 90.0074 229.884i 0.286648 0.732115i
\(315\) 83.1383 + 24.7692i 0.263931 + 0.0786324i
\(316\) 121.573 131.452i 0.384723 0.415987i
\(317\) 26.9501 100.579i 0.0850161 0.317284i −0.910301 0.413947i \(-0.864150\pi\)
0.995317 + 0.0966623i \(0.0308167\pi\)
\(318\) 148.824 62.6297i 0.468000 0.196949i
\(319\) −221.367 + 383.420i −0.693942 + 1.20194i
\(320\) −28.9239 + 67.1859i −0.0903871 + 0.209956i
\(321\) 49.7243 83.4294i 0.154904 0.259905i
\(322\) 274.153 372.097i 0.851408 1.15558i
\(323\) −127.059 127.059i −0.393372 0.393372i
\(324\) 311.535 + 89.0049i 0.961528 + 0.274706i
\(325\) −215.538 215.538i −0.663194 0.663194i
\(326\) −94.3416 + 14.2981i −0.289392 + 0.0438593i
\(327\) −299.549 + 502.596i −0.916053 + 1.53699i
\(328\) −314.771 363.972i −0.959666 1.10967i
\(329\) −82.5667 + 143.010i −0.250963 + 0.434680i
\(330\) 45.3378 111.224i 0.137387 0.337042i
\(331\) −170.204 + 635.209i −0.514210 + 1.91906i −0.146130 + 0.989265i \(0.546682\pi\)
−0.368081 + 0.929794i \(0.619985\pi\)
\(332\) 449.339 17.5443i 1.35343 0.0528443i
\(333\) 431.765 + 128.635i 1.29659 + 0.386290i
\(334\) −65.8264 + 28.7834i −0.197085 + 0.0861780i
\(335\) 4.73621 2.73445i 0.0141379 0.00816254i
\(336\) −79.4810 + 396.927i −0.236551 + 1.18133i
\(337\) −200.942 + 348.042i −0.596268 + 1.03277i 0.397099 + 0.917776i \(0.370017\pi\)
−0.993367 + 0.114991i \(0.963316\pi\)
\(338\) −6.94646 0.776963i −0.0205517 0.00229871i
\(339\) 263.200 + 74.4538i 0.776400 + 0.219628i
\(340\) −59.9095 95.0024i −0.176204 0.279419i
\(341\) 129.225 129.225i 0.378960 0.378960i
\(342\) −105.106 + 79.2826i −0.307326 + 0.231820i
\(343\) 226.663i 0.660825i
\(344\) 272.969 + 185.134i 0.793515 + 0.538181i
\(345\) 93.9461 + 1.30382i 0.272308 + 0.00377918i
\(346\) 367.054 293.204i 1.06085 0.847410i
\(347\) −29.4869 110.047i −0.0849767 0.317137i 0.910333 0.413876i \(-0.135825\pi\)
−0.995310 + 0.0967391i \(0.969159\pi\)
\(348\) 290.930 85.8507i 0.836005 0.246697i
\(349\) −626.201 167.790i −1.79427 0.480774i −0.801211 0.598382i \(-0.795811\pi\)
−0.993060 + 0.117608i \(0.962477\pi\)
\(350\) 366.165 160.111i 1.04619 0.457459i
\(351\) 293.326 + 186.045i 0.835688 + 0.530044i
\(352\) 536.241 + 163.026i 1.52341 + 0.463142i
\(353\) −56.7577 + 32.7691i −0.160787 + 0.0928303i −0.578234 0.815871i \(-0.696258\pi\)
0.417448 + 0.908701i \(0.362925\pi\)
\(354\) 15.5193 123.244i 0.0438399 0.348145i
\(355\) 30.8015 + 114.953i 0.0867647 + 0.323810i
\(356\) 33.2520 + 107.182i 0.0934045 + 0.301072i
\(357\) −433.370 445.569i −1.21392 1.24809i
\(358\) 50.0774 + 330.420i 0.139881 + 0.922960i
\(359\) −260.892 −0.726719 −0.363359 0.931649i \(-0.618370\pi\)
−0.363359 + 0.931649i \(0.618370\pi\)
\(360\) −75.0215 + 33.8163i −0.208393 + 0.0939342i
\(361\) 307.503i 0.851810i
\(362\) −52.7598 348.119i −0.145745 0.961655i
\(363\) −536.266 151.699i −1.47732 0.417903i
\(364\) −202.163 + 384.019i −0.555392 + 1.05500i
\(365\) −85.0372 + 22.7856i −0.232979 + 0.0624264i
\(366\) −193.541 146.784i −0.528800 0.401049i
\(367\) 344.946 + 597.464i 0.939907 + 1.62797i 0.765641 + 0.643268i \(0.222422\pi\)
0.174266 + 0.984699i \(0.444245\pi\)
\(368\) 34.1846 + 437.096i 0.0928930 + 1.18776i
\(369\) 15.0233 541.144i 0.0407135 1.46652i
\(370\) −104.840 + 45.8427i −0.283352 + 0.123899i
\(371\) −58.7395 + 219.219i −0.158328 + 0.590886i
\(372\) −125.170 + 3.14837i −0.336479 + 0.00846335i
\(373\) 77.6351 20.8023i 0.208137 0.0557701i −0.153244 0.988188i \(-0.548972\pi\)
0.361381 + 0.932418i \(0.382305\pi\)
\(374\) −672.397 + 537.113i −1.79785 + 1.43613i
\(375\) 143.419 + 85.4786i 0.382452 + 0.227943i
\(376\) −29.4973 153.843i −0.0784504 0.409158i
\(377\) 325.194 0.862584
\(378\) −367.343 + 269.175i −0.971806 + 0.712104i
\(379\) −156.345 156.345i −0.412520 0.412520i 0.470096 0.882616i \(-0.344219\pi\)
−0.882616 + 0.470096i \(0.844219\pi\)
\(380\) 7.38770 32.6118i 0.0194413 0.0858206i
\(381\) 439.394 111.224i 1.15327 0.291926i
\(382\) −509.861 57.0281i −1.33472 0.149288i
\(383\) 346.404 + 199.996i 0.904448 + 0.522183i 0.878641 0.477483i \(-0.158451\pi\)
0.0258075 + 0.999667i \(0.491784\pi\)
\(384\) −189.270 334.115i −0.492890 0.870091i
\(385\) 84.4115 + 146.205i 0.219251 + 0.379753i
\(386\) 328.115 143.472i 0.850038 0.371690i
\(387\) 86.0531 + 360.941i 0.222360 + 0.932663i
\(388\) −522.602 + 565.070i −1.34691 + 1.45637i
\(389\) 166.566 + 44.6312i 0.428190 + 0.114733i 0.466476 0.884534i \(-0.345523\pi\)
−0.0382863 + 0.999267i \(0.512190\pi\)
\(390\) −87.4007 + 12.0079i −0.224104 + 0.0307896i
\(391\) −583.001 336.596i −1.49105 0.860859i
\(392\) −115.773 133.870i −0.295340 0.341504i
\(393\) −275.069 + 153.761i −0.699920 + 0.391250i
\(394\) 334.402 50.6810i 0.848737 0.128632i
\(395\) −36.1761 + 36.1761i −0.0915851 + 0.0915851i
\(396\) 321.401 + 542.471i 0.811619 + 1.36988i
\(397\) −172.732 + 172.732i −0.435094 + 0.435094i −0.890357 0.455263i \(-0.849545\pi\)
0.455263 + 0.890357i \(0.349545\pi\)
\(398\) −119.730 + 162.505i −0.300830 + 0.408304i
\(399\) 2.56795 185.033i 0.00643597 0.463742i
\(400\) −163.374 + 342.090i −0.408436 + 0.855224i
\(401\) 273.457 + 157.880i 0.681937 + 0.393717i 0.800585 0.599220i \(-0.204522\pi\)
−0.118647 + 0.992936i \(0.537856\pi\)
\(402\) −3.58695 + 28.4850i −0.00892275 + 0.0708582i
\(403\) −129.660 34.7423i −0.321737 0.0862092i
\(404\) −6.90401 176.823i −0.0170891 0.437681i
\(405\) −87.9556 28.8851i −0.217174 0.0713213i
\(406\) −155.443 + 397.011i −0.382865 + 0.977860i
\(407\) 438.376 + 759.290i 1.07709 + 1.86558i
\(408\) 587.425 + 50.7854i 1.43977 + 0.124474i
\(409\) 359.171 + 207.368i 0.878169 + 0.507011i 0.870054 0.492956i \(-0.164084\pi\)
0.00811496 + 0.999967i \(0.497417\pi\)
\(410\) 85.8140 + 107.428i 0.209302 + 0.262020i
\(411\) −31.7167 32.6094i −0.0771696 0.0793417i
\(412\) 15.5886 68.8132i 0.0378363 0.167022i
\(413\) 123.458 + 123.458i 0.298931 + 0.298931i
\(414\) −303.477 + 388.821i −0.733036 + 0.939181i
\(415\) −128.488 −0.309610
\(416\) −93.2362 400.979i −0.224126 0.963892i
\(417\) −262.394 + 146.676i −0.629242 + 0.351742i
\(418\) −254.624 28.4798i −0.609149 0.0681335i
\(419\) −332.893 + 89.1985i −0.794494 + 0.212884i −0.633165 0.774017i \(-0.718245\pi\)
−0.161329 + 0.986901i \(0.551578\pi\)
\(420\) 27.1178 112.442i 0.0645663 0.267720i
\(421\) 121.102 451.961i 0.287654 1.07354i −0.659223 0.751947i \(-0.729115\pi\)
0.946878 0.321594i \(-0.104218\pi\)
\(422\) 83.0759 212.181i 0.196862 0.502798i
\(423\) 92.3146 150.113i 0.218238 0.354876i
\(424\) −93.8820 193.739i −0.221420 0.456931i
\(425\) −291.046 504.106i −0.684814 1.18613i
\(426\) −578.533 235.826i −1.35806 0.553582i
\(427\) 329.790 88.3671i 0.772343 0.206949i
\(428\) −114.589 60.3242i −0.267732 0.140944i
\(429\) 165.879 + 655.311i 0.386663 + 1.52753i
\(430\) −75.8727 55.9015i −0.176448 0.130003i
\(431\) 1.73019i 0.00401437i −0.999998 0.00200718i \(-0.999361\pi\)
0.999998 0.00200718i \(-0.000638906\pi\)
\(432\) 96.5428 421.074i 0.223479 0.974709i
\(433\) 12.7650 0.0294804 0.0147402 0.999891i \(-0.495308\pi\)
0.0147402 + 0.999891i \(0.495308\pi\)
\(434\) 104.393 141.688i 0.240536 0.326469i
\(435\) −84.0217 + 21.2684i −0.193153 + 0.0488928i
\(436\) 690.310 + 363.405i 1.58328 + 0.833499i
\(437\) −51.8729 193.592i −0.118702 0.443003i
\(438\) 174.454 427.975i 0.398297 0.977112i
\(439\) 437.598 252.647i 0.996806 0.575506i 0.0895046 0.995986i \(-0.471472\pi\)
0.907302 + 0.420480i \(0.138138\pi\)
\(440\) −151.287 52.5242i −0.343835 0.119373i
\(441\) 5.52559 199.034i 0.0125297 0.451325i
\(442\) 588.604 + 230.458i 1.33168 + 0.521399i
\(443\) −120.473 32.2808i −0.271949 0.0728685i 0.120267 0.992742i \(-0.461625\pi\)
−0.392216 + 0.919873i \(0.628292\pi\)
\(444\) 140.832 583.950i 0.317189 1.31520i
\(445\) −8.29908 30.9726i −0.0186496 0.0696013i
\(446\) −89.1685 + 797.213i −0.199929 + 1.78747i
\(447\) −73.8395 132.094i −0.165189 0.295512i
\(448\) 534.099 + 77.8417i 1.19219 + 0.173754i
\(449\) 625.030i 1.39205i −0.718019 0.696024i \(-0.754951\pi\)
0.718019 0.696024i \(-0.245049\pi\)
\(450\) −395.354 + 159.956i −0.878565 + 0.355458i
\(451\) 744.954 744.954i 1.65178 1.65178i
\(452\) 80.5763 355.691i 0.178266 0.786928i
\(453\) 335.118 325.944i 0.739775 0.719522i
\(454\) 396.500 316.726i 0.873349 0.697634i
\(455\) 62.0013 107.389i 0.136267 0.236021i
\(456\) 112.973 + 134.355i 0.247747 + 0.294638i
\(457\) −529.407 + 305.653i −1.15844 + 0.668825i −0.950929 0.309408i \(-0.899869\pi\)
−0.207509 + 0.978233i \(0.566536\pi\)
\(458\) 328.386 + 128.574i 0.717001 + 0.280730i
\(459\) 449.109 + 488.152i 0.978451 + 1.06351i
\(460\) −4.88754 125.178i −0.0106251 0.272127i
\(461\) 124.632 465.133i 0.270351 1.00897i −0.688542 0.725197i \(-0.741749\pi\)
0.958893 0.283768i \(-0.0915846\pi\)
\(462\) −879.321 110.728i −1.90329 0.239670i
\(463\) 189.959 329.019i 0.410280 0.710625i −0.584641 0.811292i \(-0.698764\pi\)
0.994920 + 0.100667i \(0.0320978\pi\)
\(464\) −134.819 381.311i −0.290558 0.821791i
\(465\) 35.7730 + 0.496469i 0.0769311 + 0.00106768i
\(466\) −115.640 85.2012i −0.248155 0.182835i
\(467\) 33.7313 + 33.7313i 0.0722297 + 0.0722297i 0.742299 0.670069i \(-0.233736\pi\)
−0.670069 + 0.742299i \(0.733736\pi\)
\(468\) 227.033 403.671i 0.485113 0.862546i
\(469\) −28.5346 28.5346i −0.0608415 0.0608415i
\(470\) 6.70689 + 44.2533i 0.0142700 + 0.0941561i
\(471\) −180.689 323.241i −0.383629 0.686286i
\(472\) −165.189 11.9744i −0.349977 0.0253694i
\(473\) −361.056 + 625.367i −0.763331 + 1.32213i
\(474\) −36.5563 266.078i −0.0771230 0.561346i
\(475\) 44.8531 167.394i 0.0944277 0.352409i
\(476\) −562.706 + 608.433i −1.18216 + 1.27822i
\(477\) 69.1536 232.115i 0.144976 0.486615i
\(478\) −335.506 767.287i −0.701895 1.60520i
\(479\) −321.891 + 185.844i −0.672006 + 0.387983i −0.796836 0.604195i \(-0.793495\pi\)
0.124830 + 0.992178i \(0.460161\pi\)
\(480\) 50.3146 + 97.5046i 0.104822 + 0.203135i
\(481\) 321.993 557.708i 0.669424 1.15948i
\(482\) −22.8017 + 203.860i −0.0473065 + 0.422945i
\(483\) −170.124 672.082i −0.352223 1.39147i
\(484\) −164.173 + 724.717i −0.339201 + 1.49735i
\(485\) 155.510 155.510i 0.320639 0.320639i
\(486\) 399.840 276.268i 0.822716 0.568452i
\(487\) 814.447i 1.67237i 0.548444 + 0.836187i \(0.315220\pi\)
−0.548444 + 0.836187i \(0.684780\pi\)
\(488\) −181.793 + 268.042i −0.372526 + 0.549267i
\(489\) −73.2774 + 122.948i −0.149852 + 0.251427i
\(490\) 31.5626 + 39.5123i 0.0644134 + 0.0806374i
\(491\) −175.645 655.517i −0.357729 1.33506i −0.877015 0.480463i \(-0.840468\pi\)
0.519285 0.854601i \(-0.326198\pi\)
\(492\) −721.576 + 18.1496i −1.46662 + 0.0368894i
\(493\) 599.845 + 160.728i 1.21672 + 0.326020i
\(494\) 75.3962 + 172.428i 0.152624 + 0.349044i
\(495\) −85.7173 158.466i −0.173166 0.320134i
\(496\) 13.0169 + 166.438i 0.0262437 + 0.335561i
\(497\) 760.489 439.069i 1.53016 0.883438i
\(498\) 407.601 537.440i 0.818476 1.07920i
\(499\) 174.581 + 651.547i 0.349862 + 1.30570i 0.886828 + 0.462100i \(0.152904\pi\)
−0.536965 + 0.843604i \(0.680429\pi\)
\(500\) 103.700 196.985i 0.207401 0.393970i
\(501\) −29.3338 + 103.697i −0.0585505 + 0.206981i
\(502\) −173.444 + 26.2867i −0.345507 + 0.0523639i
\(503\) −176.861 −0.351613 −0.175806 0.984425i \(-0.556253\pi\)
−0.175806 + 0.984425i \(0.556253\pi\)
\(504\) 384.297 + 470.127i 0.762495 + 0.932792i
\(505\) 50.5626i 0.100124i
\(506\) −949.043 + 143.834i −1.87558 + 0.284257i
\(507\) −7.51595 + 7.31019i −0.0148244 + 0.0144185i
\(508\) −179.070 577.198i −0.352499 1.13622i
\(509\) −711.117 + 190.543i −1.39709 + 0.374348i −0.877298 0.479946i \(-0.840656\pi\)
−0.519789 + 0.854295i \(0.673990\pi\)
\(510\) −167.152 21.0485i −0.327749 0.0412715i
\(511\) 324.805 + 562.579i 0.635626 + 1.10094i
\(512\) −431.519 + 275.563i −0.842811 + 0.538209i
\(513\) −8.21926 + 197.311i −0.0160219 + 0.384621i
\(514\) −237.016 542.045i −0.461121 1.05456i
\(515\) −5.21788 + 19.4734i −0.0101318 + 0.0378124i
\(516\) 474.514 140.025i 0.919600 0.271365i
\(517\) 331.267 88.7629i 0.640749 0.171688i
\(518\) 526.961 + 659.688i 1.01730 + 1.27353i
\(519\) 9.77879 704.608i 0.0188416 1.35763i
\(520\) 22.1502 + 115.525i 0.0425966 + 0.222163i
\(521\) 206.231 0.395837 0.197918 0.980219i \(-0.436582\pi\)
0.197918 + 0.980219i \(0.436582\pi\)
\(522\) 177.579 418.914i 0.340190 0.802518i
\(523\) −53.7664 53.7664i −0.102804 0.102804i 0.653834 0.756638i \(-0.273159\pi\)
−0.756638 + 0.653834i \(0.773159\pi\)
\(524\) 224.122 + 355.404i 0.427713 + 0.678252i
\(525\) 163.172 576.826i 0.310804 1.09872i
\(526\) −52.8410 + 472.426i −0.100458 + 0.898148i
\(527\) −221.996 128.170i −0.421245 0.243206i
\(528\) 699.623 466.181i 1.32504 0.882919i
\(529\) −110.932 192.140i −0.209702 0.363214i
\(530\) 24.6449 + 56.3617i 0.0464998 + 0.106343i
\(531\) −128.045 135.357i −0.241139 0.254910i
\(532\) −246.547 + 9.62633i −0.463433 + 0.0180946i
\(533\) −747.459 200.281i −1.40236 0.375762i
\(534\) 155.879 + 63.5405i 0.291908 + 0.118990i
\(535\) 32.0444 + 18.5008i 0.0598961 + 0.0345810i
\(536\) 38.1798 + 2.76761i 0.0712309 + 0.00516345i
\(537\) 430.610 + 256.645i 0.801880 + 0.477924i
\(538\) −133.781 882.714i −0.248664 1.64073i
\(539\) 273.996 273.996i 0.508341 0.508341i
\(540\) −32.2584 + 119.147i −0.0597378 + 0.220642i
\(541\) 178.815 178.815i 0.330527 0.330527i −0.522260 0.852786i \(-0.674911\pi\)
0.852786 + 0.522260i \(0.174911\pi\)
\(542\) −130.239 95.9571i −0.240293 0.177043i
\(543\) −453.676 270.393i −0.835499 0.497961i
\(544\) 26.2036 785.718i 0.0481684 1.44433i
\(545\) −193.042 111.453i −0.354206 0.204501i
\(546\) 252.502 + 600.008i 0.462457 + 1.09892i
\(547\) 406.284 + 108.863i 0.742749 + 0.199019i 0.610300 0.792171i \(-0.291049\pi\)
0.132449 + 0.991190i \(0.457716\pi\)
\(548\) −41.1823 + 44.5288i −0.0751501 + 0.0812570i
\(549\) −354.426 + 84.5000i −0.645585 + 0.153916i
\(550\) −772.856 302.599i −1.40519 0.550180i
\(551\) 92.4423 + 160.115i 0.167772 + 0.290589i
\(552\) 539.099 + 376.657i 0.976628 + 0.682349i
\(553\) 326.930 + 188.753i 0.591194 + 0.341326i
\(554\) −289.707 + 231.419i −0.522936 + 0.417723i
\(555\) −46.7193 + 165.156i −0.0841789 + 0.297579i
\(556\) 213.795 + 339.028i 0.384523 + 0.609762i
\(557\) −479.313 479.313i −0.860526 0.860526i 0.130874 0.991399i \(-0.458222\pi\)
−0.991399 + 0.130874i \(0.958222\pi\)
\(558\) −115.559 + 148.056i −0.207094 + 0.265333i
\(559\) 530.400 0.948838
\(560\) −151.625 28.1790i −0.270759 0.0503196i
\(561\) −17.9135 + 1290.76i −0.0319314 + 2.30081i
\(562\) −91.7227 + 820.049i −0.163208 + 1.45916i
\(563\) −515.637 + 138.164i −0.915874 + 0.245408i −0.685821 0.727771i \(-0.740557\pi\)
−0.230053 + 0.973178i \(0.573890\pi\)
\(564\) −206.379 112.330i −0.365919 0.199168i
\(565\) −26.9709 + 100.657i −0.0477361 + 0.178153i
\(566\) −698.308 273.411i −1.23376 0.483059i
\(567\) −37.8999 + 682.059i −0.0668428 + 1.20293i
\(568\) −273.206 + 786.925i −0.480996 + 1.38543i
\(569\) 148.902 + 257.906i 0.261691 + 0.453262i 0.966691 0.255945i \(-0.0823865\pi\)
−0.705000 + 0.709207i \(0.749053\pi\)
\(570\) −30.7575 39.6197i −0.0539606 0.0695083i
\(571\) 634.387 169.983i 1.11101 0.297694i 0.343770 0.939054i \(-0.388296\pi\)
0.767240 + 0.641360i \(0.221629\pi\)
\(572\) 860.830 267.064i 1.50495 0.466894i
\(573\) −551.661 + 536.558i −0.962759 + 0.936402i
\(574\) 601.798 816.796i 1.04843 1.42299i
\(575\) 649.253i 1.12914i
\(576\) −567.453 98.8565i −0.985162 0.171626i
\(577\) −1110.11 −1.92393 −0.961965 0.273171i \(-0.911927\pi\)
−0.961965 + 0.273171i \(0.911927\pi\)
\(578\) 506.482 + 373.166i 0.876267 + 0.645615i
\(579\) 146.216 516.884i 0.252532 0.892718i
\(580\) 34.2420 + 110.373i 0.0590379 + 0.190298i
\(581\) 245.385 + 915.788i 0.422349 + 1.57623i
\(582\) 157.144 + 1143.79i 0.270007 + 1.96527i
\(583\) 408.192 235.670i 0.700158 0.404237i
\(584\) −582.135 202.106i −0.996806 0.346073i
\(585\) −69.3212 + 112.723i −0.118498 + 0.192689i
\(586\) −84.0192 + 214.590i −0.143377 + 0.366194i
\(587\) −283.539 75.9739i −0.483030 0.129427i 0.00908315 0.999959i \(-0.497109\pi\)
−0.492113 + 0.870531i \(0.663775\pi\)
\(588\) −265.397 + 6.67546i −0.451356 + 0.0113528i
\(589\) −19.7522 73.7164i −0.0335352 0.125155i
\(590\) 47.0303 + 5.26035i 0.0797124 + 0.00891585i
\(591\) 259.738 435.800i 0.439490 0.737394i
\(592\) −787.440 146.343i −1.33014 0.247200i
\(593\) 682.084i 1.15023i 0.818074 + 0.575113i \(0.195042\pi\)
−0.818074 + 0.575113i \(0.804958\pi\)
\(594\) 934.750 + 144.162i 1.57365 + 0.242697i
\(595\) 167.443 167.443i 0.281418 0.281418i
\(596\) −170.673 + 107.628i −0.286364 + 0.180584i
\(597\) 74.2978 + 293.517i 0.124452 + 0.491653i
\(598\) 440.036 + 550.868i 0.735846 + 0.921185i
\(599\) 149.962 259.742i 0.250355 0.433627i −0.713269 0.700891i \(-0.752786\pi\)
0.963623 + 0.267264i \(0.0861195\pi\)
\(600\) 240.850 + 515.124i 0.401417 + 0.858540i
\(601\) 262.562 151.590i 0.436875 0.252230i −0.265396 0.964139i \(-0.585503\pi\)
0.702271 + 0.711909i \(0.252169\pi\)
\(602\) −253.532 + 647.535i −0.421149 + 1.07564i
\(603\) 29.5947 + 31.2848i 0.0490791 + 0.0518820i
\(604\) −457.610 423.219i −0.757633 0.700693i
\(605\) 54.9529 205.087i 0.0908312 0.338987i
\(606\) −211.493 160.399i −0.348998 0.264684i
\(607\) −220.046 + 381.131i −0.362514 + 0.627893i −0.988374 0.152043i \(-0.951415\pi\)
0.625860 + 0.779936i \(0.284748\pi\)
\(608\) 170.925 159.892i 0.281126 0.262980i
\(609\) 312.051 + 558.238i 0.512399 + 0.916648i
\(610\) 54.8925 74.5033i 0.0899877 0.122137i
\(611\) −178.123 178.123i −0.291527 0.291527i
\(612\) 618.295 632.390i 1.01029 1.03332i
\(613\) 452.991 + 452.991i 0.738974 + 0.738974i 0.972379 0.233406i \(-0.0749870\pi\)
−0.233406 + 0.972379i \(0.574987\pi\)
\(614\) 494.813 74.9923i 0.805885 0.122137i
\(615\) 206.223 + 2.86203i 0.335321 + 0.00465370i
\(616\) −85.4352 + 1178.60i −0.138693 + 1.91330i
\(617\) 460.040 796.812i 0.745607 1.29143i −0.204304 0.978908i \(-0.565493\pi\)
0.949911 0.312522i \(-0.101174\pi\)
\(618\) −64.9005 83.6003i −0.105017 0.135276i
\(619\) 15.3869 57.4248i 0.0248577 0.0927704i −0.952383 0.304906i \(-0.901375\pi\)
0.977240 + 0.212135i \(0.0680417\pi\)
\(620\) −1.86109 47.6656i −0.00300175 0.0768799i
\(621\) 161.578 + 721.992i 0.260190 + 1.16263i
\(622\) 603.203 263.758i 0.969779 0.424049i
\(623\) −204.905 + 118.302i −0.328900 + 0.189891i
\(624\) −553.482 273.827i −0.886991 0.438825i
\(625\) 264.368 457.898i 0.422988 0.732637i
\(626\) −276.448 30.9208i −0.441610 0.0493942i
\(627\) −275.499 + 267.957i −0.439392 + 0.427363i
\(628\) −417.645 + 263.372i −0.665040 + 0.419381i
\(629\) 869.589 869.589i 1.38249 1.38249i
\(630\) −104.482 138.512i −0.165844 0.219860i
\(631\) 560.050i 0.887559i 0.896136 + 0.443780i \(0.146363\pi\)
−0.896136 + 0.443780i \(0.853637\pi\)
\(632\) −351.697 + 67.4330i −0.556483 + 0.106698i
\(633\) −166.774 298.348i −0.263467 0.471324i
\(634\) −162.714 + 129.977i −0.256647 + 0.205011i
\(635\) 44.6925 + 166.795i 0.0703818 + 0.262669i
\(636\) −313.930 75.7108i −0.493600 0.119042i
\(637\) −274.917 73.6638i −0.431581 0.115642i
\(638\) 811.300 354.751i 1.27163 0.556037i
\(639\) −824.267 + 445.861i −1.28993 + 0.697748i
\(640\) 126.277 73.8667i 0.197308 0.115417i
\(641\) 76.6169 44.2348i 0.119527 0.0690090i −0.439044 0.898465i \(-0.644683\pi\)
0.558572 + 0.829456i \(0.311350\pi\)
\(642\) −179.039 + 75.3451i −0.278877 + 0.117360i
\(643\) −16.6863 62.2743i −0.0259508 0.0968496i 0.951736 0.306918i \(-0.0992979\pi\)
−0.977687 + 0.210069i \(0.932631\pi\)
\(644\) −882.861 + 273.899i −1.37090 + 0.425308i
\(645\) −137.041 + 34.6892i −0.212467 + 0.0537818i
\(646\) 53.8512 + 355.320i 0.0833610 + 0.550032i
\(647\) −245.534 −0.379496 −0.189748 0.981833i \(-0.560767\pi\)
−0.189748 + 0.981833i \(0.560767\pi\)
\(648\) −396.032 512.896i −0.611161 0.791507i
\(649\) 362.606i 0.558715i
\(650\) 91.3509 + 602.750i 0.140540 + 0.927308i
\(651\) −64.7800 255.916i −0.0995085 0.393113i
\(652\) 168.867 + 88.8983i 0.258999 + 0.136347i
\(653\) 703.395 188.474i 1.07717 0.288628i 0.323737 0.946147i \(-0.395061\pi\)
0.753438 + 0.657519i \(0.228394\pi\)
\(654\) 1078.57 453.895i 1.64919 0.694029i
\(655\) −60.0280 103.971i −0.0916457 0.158735i
\(656\) 75.0392 + 959.475i 0.114389 + 1.46261i
\(657\) −329.829 609.759i −0.502024 0.928095i
\(658\) 302.603 132.317i 0.459883 0.201090i
\(659\) −272.713 + 1017.78i −0.413829 + 1.54443i 0.373341 + 0.927694i \(0.378212\pi\)
−0.787170 + 0.616736i \(0.788455\pi\)
\(660\) −204.949 + 125.302i −0.310529 + 0.189852i
\(661\) −1137.07 + 304.676i −1.72022 + 0.460932i −0.977893 0.209105i \(-0.932945\pi\)
−0.742328 + 0.670037i \(0.766278\pi\)
\(662\) 1027.62 820.869i 1.55230 1.23998i
\(663\) 827.637 462.643i 1.24832 0.697803i
\(664\) −744.321 504.816i −1.12097 0.760266i
\(665\) 70.4999 0.106015
\(666\) −542.607 719.339i −0.814725 1.08009i
\(667\) 489.782 + 489.782i 0.734306 + 0.734306i
\(668\) 140.138 + 31.7460i 0.209787 + 0.0475240i
\(669\) 838.956 + 862.571i 1.25405 + 1.28934i
\(670\) −10.8700 1.21581i −0.0162239 0.00181465i
\(671\) −614.080 354.539i −0.915171 0.528374i
\(672\) 598.865 544.825i 0.891168 0.810752i
\(673\) 409.832 + 709.850i 0.608963 + 1.05475i 0.991412 + 0.130778i \(0.0417476\pi\)
−0.382449 + 0.923977i \(0.624919\pi\)
\(674\) 736.443 322.019i 1.09265 0.477774i
\(675\) −191.149 + 610.505i −0.283184 + 0.904452i
\(676\) 10.2632 + 9.49185i 0.0151822 + 0.0140412i
\(677\) 206.275 + 55.2712i 0.304690 + 0.0816414i 0.407925 0.913016i \(-0.366253\pi\)
−0.103235 + 0.994657i \(0.532919\pi\)
\(678\) −335.467 432.125i −0.494789 0.637352i
\(679\) −1405.37 811.391i −2.06977 1.19498i
\(680\) −16.2406 + 224.042i −0.0238832 + 0.329473i
\(681\) 10.5633 761.135i 0.0155114 1.11767i
\(682\) −361.378 + 54.7693i −0.529880 + 0.0803069i
\(683\) −800.890 + 800.890i −1.17261 + 1.17261i −0.191020 + 0.981586i \(0.561179\pi\)
−0.981586 + 0.191020i \(0.938821\pi\)
\(684\) 263.292 2.96742i 0.384930 0.00433833i
\(685\) 12.2545 12.2545i 0.0178898 0.0178898i
\(686\) −268.897 + 364.963i −0.391979 + 0.532017i
\(687\) 461.745 258.112i 0.672118 0.375709i
\(688\) −219.893 621.928i −0.319612 0.903964i
\(689\) −299.822 173.103i −0.435156 0.251237i
\(690\) −149.722 113.551i −0.216988 0.164566i
\(691\) −73.8482 19.7876i −0.106872 0.0286361i 0.204987 0.978765i \(-0.434285\pi\)
−0.311858 + 0.950129i \(0.600951\pi\)
\(692\) −938.853 + 36.6572i −1.35672 + 0.0529728i
\(693\) −965.752 + 913.578i −1.39358 + 1.31829i
\(694\) −83.0733 + 212.174i −0.119702 + 0.305726i
\(695\) −57.2620 99.1807i −0.0823914 0.142706i
\(696\) −570.291 206.906i −0.819383 0.297279i
\(697\) −1279.75 738.867i −1.83609 1.06007i
\(698\) 809.229 + 1013.05i 1.15935 + 1.45136i
\(699\) −208.869 + 52.8710i −0.298812 + 0.0756380i
\(700\) −779.529 176.590i −1.11361 0.252272i
\(701\) 173.626 + 173.626i 0.247683 + 0.247683i 0.820019 0.572336i \(-0.193963\pi\)
−0.572336 + 0.820019i \(0.693963\pi\)
\(702\) −251.591 647.545i −0.358391 0.922429i
\(703\) 366.129 0.520810
\(704\) −670.032 898.658i −0.951749 1.27650i
\(705\) 57.6718 + 34.3726i 0.0818040 + 0.0487555i
\(706\) 130.264 + 14.5701i 0.184510 + 0.0206375i
\(707\) 360.380 96.5635i 0.509731 0.136582i
\(708\) −171.196 + 180.031i −0.241803 + 0.254281i
\(709\) −119.642 + 446.509i −0.168747 + 0.629773i 0.828785 + 0.559567i \(0.189032\pi\)
−0.997532 + 0.0702063i \(0.977634\pi\)
\(710\) 86.7767 221.633i 0.122221 0.312159i
\(711\) −343.168 211.038i −0.482655 0.296818i
\(712\) 73.6121 212.028i 0.103388 0.297792i
\(713\) −142.958 247.610i −0.200502 0.347279i
\(714\) 169.203 + 1231.56i 0.236979 + 1.72487i
\(715\) −248.757 + 66.6541i −0.347911 + 0.0932226i
\(716\) 311.355 591.437i 0.434854 0.826030i
\(717\) −1208.72 341.921i −1.68580 0.476878i
\(718\) 420.078 + 309.505i 0.585067 + 0.431065i
\(719\) 568.940i 0.791293i −0.918403 0.395646i \(-0.870521\pi\)
0.918403 0.395646i \(-0.129479\pi\)
\(720\) 160.914 + 34.5508i 0.223492 + 0.0479872i
\(721\) 148.760 0.206324
\(722\) 364.801 495.130i 0.505265 0.685775i
\(723\) 214.534 + 220.572i 0.296727 + 0.305079i
\(724\) −328.033 + 623.118i −0.453085 + 0.860661i
\(725\) 155.012 + 578.514i 0.213810 + 0.797951i
\(726\) 683.509 + 880.449i 0.941473 + 1.21274i
\(727\) 885.287 511.121i 1.21773 0.703054i 0.253295 0.967389i \(-0.418486\pi\)
0.964431 + 0.264335i \(0.0851523\pi\)
\(728\) 781.089 378.501i 1.07292 0.519919i
\(729\) 60.6299 726.474i 0.0831685 0.996535i
\(730\) 163.955 + 64.1938i 0.224596 + 0.0879367i
\(731\) 978.363 + 262.151i 1.33839 + 0.358620i
\(732\) 137.497 + 465.949i 0.187838 + 0.636543i
\(733\) 162.727 + 607.305i 0.222001 + 0.828520i 0.983584 + 0.180452i \(0.0577560\pi\)
−0.761583 + 0.648068i \(0.775577\pi\)
\(734\) 153.373 1371.23i 0.208955 1.86816i
\(735\) 75.8491 + 1.05266i 0.103196 + 0.00143219i
\(736\) 463.498 744.348i 0.629753 1.01134i
\(737\) 83.8084i 0.113716i
\(738\) −666.167 + 853.507i −0.902666 + 1.15651i
\(739\) −48.5224 + 48.5224i −0.0656596 + 0.0656596i −0.739174 0.673514i \(-0.764784\pi\)
0.673514 + 0.739174i \(0.264784\pi\)
\(740\) 223.194 + 50.5612i 0.301614 + 0.0683259i
\(741\) 271.628 + 76.8379i 0.366569 + 0.103695i
\(742\) 354.646 283.293i 0.477960 0.381796i
\(743\) 74.9728 129.857i 0.100906 0.174774i −0.811152 0.584835i \(-0.801159\pi\)
0.912058 + 0.410061i \(0.134493\pi\)
\(744\) 205.279 + 143.424i 0.275913 + 0.192774i
\(745\) 49.9293 28.8267i 0.0670192 0.0386936i
\(746\) −149.683 58.6061i −0.200648 0.0785604i
\(747\) −234.646 984.198i −0.314118 1.31753i
\(748\) 1719.86 67.1515i 2.29928 0.0897747i
\(749\) 70.6652 263.726i 0.0943460 0.352104i
\(750\) −129.522 307.777i −0.172696 0.410370i
\(751\) 582.058 1008.15i 0.775044 1.34241i −0.159726 0.987161i \(-0.551061\pi\)
0.934770 0.355254i \(-0.115605\pi\)
\(752\) −135.014 + 282.706i −0.179540 + 0.375939i
\(753\) −134.718 + 226.036i −0.178909 + 0.300181i
\(754\) −523.615 385.789i −0.694449 0.511656i
\(755\) 125.936 + 125.936i 0.166803 + 0.166803i
\(756\) 910.812 + 2.37494i 1.20478 + 0.00314145i
\(757\) 679.924 + 679.924i 0.898183 + 0.898183i 0.995275 0.0970928i \(-0.0309544\pi\)
−0.0970928 + 0.995275i \(0.530954\pi\)
\(758\) 66.2633 + 437.218i 0.0874186 + 0.576805i
\(759\) −737.144 + 1236.81i −0.971205 + 1.62953i
\(760\) −50.5839 + 43.7460i −0.0665577 + 0.0575605i
\(761\) −31.6684 + 54.8512i −0.0416142 + 0.0720778i −0.886082 0.463528i \(-0.846583\pi\)
0.844468 + 0.535606i \(0.179917\pi\)
\(762\) −839.444 342.180i −1.10163 0.449055i
\(763\) −425.702 + 1588.74i −0.557931 + 2.08223i
\(764\) 753.304 + 696.690i 0.986000 + 0.911897i
\(765\) −183.582 + 173.664i −0.239976 + 0.227012i
\(766\) −320.503 732.976i −0.418412 0.956888i
\(767\) −230.656 + 133.169i −0.300725 + 0.173624i
\(768\) −91.6167 + 762.516i −0.119293 + 0.992859i
\(769\) −74.6832 + 129.355i −0.0971172 + 0.168212i −0.910490 0.413530i \(-0.864296\pi\)
0.813373 + 0.581742i \(0.197629\pi\)
\(770\) 37.5317 335.553i 0.0487425 0.435784i
\(771\) −853.892 241.548i −1.10751 0.313292i
\(772\) −698.523 158.240i −0.904823 0.204974i
\(773\) −1027.81 + 1027.81i −1.32964 + 1.32964i −0.423962 + 0.905680i \(0.639361\pi\)