Properties

Label 441.2.bn.a.131.18
Level $441$
Weight $2$
Character 441.131
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 131.18
Character \(\chi\) \(=\) 441.131
Dual form 441.2.bn.a.101.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.00554 - 0.801893i) q^{2} +(-1.06595 - 1.36519i) q^{3} +(-0.0769596 - 0.337182i) q^{4} +(0.271847 + 3.62755i) q^{5} +(-0.0228859 + 2.22754i) q^{6} +(1.01646 - 2.44270i) q^{7} +(-1.30907 + 2.71830i) q^{8} +(-0.727515 + 2.91045i) q^{9} +O(q^{10})\) \(q+(-1.00554 - 0.801893i) q^{2} +(-1.06595 - 1.36519i) q^{3} +(-0.0769596 - 0.337182i) q^{4} +(0.271847 + 3.62755i) q^{5} +(-0.0228859 + 2.22754i) q^{6} +(1.01646 - 2.44270i) q^{7} +(-1.30907 + 2.71830i) q^{8} +(-0.727515 + 2.91045i) q^{9} +(2.63555 - 3.86564i) q^{10} +(3.96212 - 1.55502i) q^{11} +(-0.378285 + 0.464483i) q^{12} +(-0.639715 + 0.251070i) q^{13} +(-2.98088 + 1.64115i) q^{14} +(4.66254 - 4.23790i) q^{15} +(2.87290 - 1.38352i) q^{16} +(2.80364 - 0.864808i) q^{17} +(3.06542 - 2.34319i) q^{18} +(5.82672 + 3.36406i) q^{19} +(1.20222 - 0.370837i) q^{20} +(-4.41826 + 1.21612i) q^{21} +(-5.23103 - 1.61356i) q^{22} +(-3.05503 - 3.29254i) q^{23} +(5.10641 - 1.11044i) q^{24} +(-8.14106 + 1.22707i) q^{25} +(0.844591 + 0.260522i) q^{26} +(4.74882 - 2.10919i) q^{27} +(-0.901863 - 0.154744i) q^{28} +(0.899882 + 2.91735i) q^{29} +(-8.08672 + 0.522530i) q^{30} -7.99939i q^{31} +(1.88463 + 0.430155i) q^{32} +(-6.34631 - 3.75150i) q^{33} +(-3.51266 - 1.37862i) q^{34} +(9.13735 + 3.02323i) q^{35} +(1.03734 + 0.0213177i) q^{36} +(-5.70667 - 5.29502i) q^{37} +(-3.16140 - 8.05510i) q^{38} +(1.02466 + 0.605709i) q^{39} +(-10.2166 - 4.00973i) q^{40} +(7.09899 - 4.84001i) q^{41} +(5.41795 + 2.32011i) q^{42} +(1.74253 + 1.18803i) q^{43} +(-0.829247 - 1.21628i) q^{44} +(-10.7556 - 1.84790i) q^{45} +(0.431696 + 5.76059i) q^{46} +(-1.23674 + 1.55082i) q^{47} +(-4.95113 - 2.44731i) q^{48} +(-4.93360 - 4.96584i) q^{49} +(9.17015 + 5.29439i) q^{50} +(-4.16916 - 2.90567i) q^{51} +(0.133888 + 0.196378i) q^{52} +(2.49254 + 2.68632i) q^{53} +(-6.46648 - 1.68717i) q^{54} +(6.71799 + 13.9501i) q^{55} +(5.30939 + 5.96071i) q^{56} +(-1.61838 - 11.5405i) q^{57} +(1.43453 - 3.65512i) q^{58} +(-3.70711 + 1.78525i) q^{59} +(-1.78777 - 1.24598i) q^{60} +(12.0748 + 2.75600i) q^{61} +(-6.41466 + 8.04373i) q^{62} +(6.36988 + 4.73547i) q^{63} +(-5.52636 - 6.92983i) q^{64} +(-1.08467 - 2.25234i) q^{65} +(3.37318 + 8.86135i) q^{66} -0.527414 q^{67} +(-0.507365 - 0.878781i) q^{68} +(-1.23846 + 7.68038i) q^{69} +(-6.76368 - 10.3672i) q^{70} +(5.75957 - 1.31458i) q^{71} +(-6.95912 - 5.78757i) q^{72} +(12.7649 + 5.00984i) q^{73} +(1.49226 + 9.90050i) q^{74} +(10.3531 + 9.80614i) q^{75} +(0.685878 - 2.22356i) q^{76} +(0.228906 - 11.2589i) q^{77} +(-0.544626 - 1.43073i) q^{78} +8.01679 q^{79} +(5.79976 + 10.0455i) q^{80} +(-7.94145 - 4.23479i) q^{81} +(-11.0195 - 0.825798i) q^{82} +(-0.245322 + 0.625070i) q^{83} +(0.750082 + 1.39617i) q^{84} +(3.89929 + 9.93524i) q^{85} +(-0.799507 - 2.59194i) q^{86} +(3.02352 - 4.33825i) q^{87} +(-0.959666 + 12.8059i) q^{88} +(9.03526 - 1.36185i) q^{89} +(9.33336 + 10.4830i) q^{90} +(-0.0369587 + 1.81784i) q^{91} +(-0.875071 + 1.28349i) q^{92} +(-10.9207 + 8.52693i) q^{93} +(2.48719 - 0.567684i) q^{94} +(-10.6193 + 22.0512i) q^{95} +(-1.42167 - 3.03141i) q^{96} +(3.13636 - 1.81078i) q^{97} +(0.978870 + 8.94958i) q^{98} +(1.64330 + 12.6628i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00554 0.801893i −0.711025 0.567024i 0.199789 0.979839i \(-0.435974\pi\)
−0.910815 + 0.412815i \(0.864546\pi\)
\(3\) −1.06595 1.36519i −0.615425 0.788196i
\(4\) −0.0769596 0.337182i −0.0384798 0.168591i
\(5\) 0.271847 + 3.62755i 0.121574 + 1.62229i 0.640839 + 0.767676i \(0.278587\pi\)
−0.519265 + 0.854613i \(0.673794\pi\)
\(6\) −0.0228859 + 2.22754i −0.00934313 + 0.909388i
\(7\) 1.01646 2.44270i 0.384187 0.923255i
\(8\) −1.30907 + 2.71830i −0.462824 + 0.961065i
\(9\) −0.727515 + 2.91045i −0.242505 + 0.970150i
\(10\) 2.63555 3.86564i 0.833435 1.22242i
\(11\) 3.96212 1.55502i 1.19462 0.468855i 0.317102 0.948392i \(-0.397290\pi\)
0.877522 + 0.479536i \(0.159195\pi\)
\(12\) −0.378285 + 0.464483i −0.109201 + 0.134085i
\(13\) −0.639715 + 0.251070i −0.177425 + 0.0696342i −0.452391 0.891820i \(-0.649429\pi\)
0.274966 + 0.961454i \(0.411334\pi\)
\(14\) −2.98088 + 1.64115i −0.796675 + 0.438615i
\(15\) 4.66254 4.23790i 1.20386 1.09422i
\(16\) 2.87290 1.38352i 0.718225 0.345879i
\(17\) 2.80364 0.864808i 0.679982 0.209747i 0.0645237 0.997916i \(-0.479447\pi\)
0.615458 + 0.788170i \(0.288971\pi\)
\(18\) 3.06542 2.34319i 0.722525 0.552295i
\(19\) 5.82672 + 3.36406i 1.33674 + 0.771768i 0.986323 0.164826i \(-0.0527062\pi\)
0.350418 + 0.936593i \(0.386040\pi\)
\(20\) 1.20222 0.370837i 0.268825 0.0829217i
\(21\) −4.41826 + 1.21612i −0.964144 + 0.265379i
\(22\) −5.23103 1.61356i −1.11526 0.344012i
\(23\) −3.05503 3.29254i −0.637017 0.686541i 0.329203 0.944259i \(-0.393220\pi\)
−0.966220 + 0.257718i \(0.917030\pi\)
\(24\) 5.10641 1.11044i 1.04234 0.226667i
\(25\) −8.14106 + 1.22707i −1.62821 + 0.245413i
\(26\) 0.844591 + 0.260522i 0.165638 + 0.0510925i
\(27\) 4.74882 2.10919i 0.913912 0.405913i
\(28\) −0.901863 0.154744i −0.170436 0.0292439i
\(29\) 0.899882 + 2.91735i 0.167104 + 0.541738i 0.999930 0.0117966i \(-0.00375505\pi\)
−0.832827 + 0.553534i \(0.813279\pi\)
\(30\) −8.08672 + 0.522530i −1.47643 + 0.0954004i
\(31\) 7.99939i 1.43673i −0.695665 0.718367i \(-0.744890\pi\)
0.695665 0.718367i \(-0.255110\pi\)
\(32\) 1.88463 + 0.430155i 0.333159 + 0.0760414i
\(33\) −6.34631 3.75150i −1.10475 0.653052i
\(34\) −3.51266 1.37862i −0.602416 0.236431i
\(35\) 9.13735 + 3.02323i 1.54449 + 0.511019i
\(36\) 1.03734 + 0.0213177i 0.172890 + 0.00355296i
\(37\) −5.70667 5.29502i −0.938171 0.870495i 0.0535948 0.998563i \(-0.482932\pi\)
−0.991765 + 0.128068i \(0.959123\pi\)
\(38\) −3.16140 8.05510i −0.512846 1.30671i
\(39\) 1.02466 + 0.605709i 0.164077 + 0.0969910i
\(40\) −10.2166 4.00973i −1.61539 0.633995i
\(41\) 7.09899 4.84001i 1.10868 0.755883i 0.136618 0.990624i \(-0.456377\pi\)
0.972058 + 0.234741i \(0.0754242\pi\)
\(42\) 5.41795 + 2.32011i 0.836007 + 0.358001i
\(43\) 1.74253 + 1.18803i 0.265733 + 0.181173i 0.688855 0.724899i \(-0.258114\pi\)
−0.423122 + 0.906073i \(0.639066\pi\)
\(44\) −0.829247 1.21628i −0.125014 0.183361i
\(45\) −10.7556 1.84790i −1.60335 0.275468i
\(46\) 0.431696 + 5.76059i 0.0636502 + 0.849352i
\(47\) −1.23674 + 1.55082i −0.180397 + 0.226211i −0.863805 0.503826i \(-0.831925\pi\)
0.683408 + 0.730036i \(0.260497\pi\)
\(48\) −4.95113 2.44731i −0.714634 0.353239i
\(49\) −4.93360 4.96584i −0.704800 0.709406i
\(50\) 9.17015 + 5.29439i 1.29685 + 0.748739i
\(51\) −4.16916 2.90567i −0.583799 0.406876i
\(52\) 0.133888 + 0.196378i 0.0185670 + 0.0272328i
\(53\) 2.49254 + 2.68632i 0.342377 + 0.368995i 0.880643 0.473780i \(-0.157111\pi\)
−0.538266 + 0.842775i \(0.680920\pi\)
\(54\) −6.46648 1.68717i −0.879977 0.229595i
\(55\) 6.71799 + 13.9501i 0.905854 + 1.88102i
\(56\) 5.30939 + 5.96071i 0.709497 + 0.796534i
\(57\) −1.61838 11.5405i −0.214359 1.52858i
\(58\) 1.43453 3.65512i 0.188363 0.479941i
\(59\) −3.70711 + 1.78525i −0.482625 + 0.232420i −0.659344 0.751842i \(-0.729166\pi\)
0.176719 + 0.984261i \(0.443452\pi\)
\(60\) −1.78777 1.24598i −0.230800 0.160855i
\(61\) 12.0748 + 2.75600i 1.54603 + 0.352870i 0.908608 0.417649i \(-0.137146\pi\)
0.637417 + 0.770519i \(0.280003\pi\)
\(62\) −6.41466 + 8.04373i −0.814662 + 1.02155i
\(63\) 6.36988 + 4.73547i 0.802529 + 0.596613i
\(64\) −5.52636 6.92983i −0.690794 0.866229i
\(65\) −1.08467 2.25234i −0.134537 0.279369i
\(66\) 3.37318 + 8.86135i 0.415210 + 1.09076i
\(67\) −0.527414 −0.0644339 −0.0322170 0.999481i \(-0.510257\pi\)
−0.0322170 + 0.999481i \(0.510257\pi\)
\(68\) −0.507365 0.878781i −0.0615270 0.106568i
\(69\) −1.23846 + 7.68038i −0.149093 + 0.924609i
\(70\) −6.76368 10.3672i −0.808414 1.23911i
\(71\) 5.75957 1.31458i 0.683535 0.156012i 0.133367 0.991067i \(-0.457421\pi\)
0.550168 + 0.835054i \(0.314564\pi\)
\(72\) −6.95912 5.78757i −0.820140 0.682072i
\(73\) 12.7649 + 5.00984i 1.49401 + 0.586358i 0.964999 0.262254i \(-0.0844660\pi\)
0.529016 + 0.848612i \(0.322561\pi\)
\(74\) 1.49226 + 9.90050i 0.173472 + 1.15091i
\(75\) 10.3531 + 9.80614i 1.19548 + 1.13232i
\(76\) 0.685878 2.22356i 0.0786756 0.255060i
\(77\) 0.228906 11.2589i 0.0260863 1.28307i
\(78\) −0.544626 1.43073i −0.0616668 0.161999i
\(79\) 8.01679 0.901959 0.450980 0.892534i \(-0.351075\pi\)
0.450980 + 0.892534i \(0.351075\pi\)
\(80\) 5.79976 + 10.0455i 0.648433 + 1.12312i
\(81\) −7.94145 4.23479i −0.882383 0.470532i
\(82\) −11.0195 0.825798i −1.21690 0.0911941i
\(83\) −0.245322 + 0.625070i −0.0269276 + 0.0686103i −0.943705 0.330788i \(-0.892686\pi\)
0.916778 + 0.399398i \(0.130781\pi\)
\(84\) 0.750082 + 1.39617i 0.0818407 + 0.152334i
\(85\) 3.89929 + 9.93524i 0.422938 + 1.07763i
\(86\) −0.799507 2.59194i −0.0862130 0.279496i
\(87\) 3.02352 4.33825i 0.324155 0.465109i
\(88\) −0.959666 + 12.8059i −0.102301 + 1.36511i
\(89\) 9.03526 1.36185i 0.957735 0.144355i 0.348468 0.937321i \(-0.386702\pi\)
0.609267 + 0.792965i \(0.291464\pi\)
\(90\) 9.33336 + 10.4830i 0.983823 + 1.10500i
\(91\) −0.0369587 + 1.81784i −0.00387433 + 0.190561i
\(92\) −0.875071 + 1.28349i −0.0912325 + 0.133813i
\(93\) −10.9207 + 8.52693i −1.13243 + 0.884201i
\(94\) 2.48719 0.567684i 0.256534 0.0585522i
\(95\) −10.6193 + 22.0512i −1.08952 + 2.26241i
\(96\) −1.42167 3.03141i −0.145099 0.309392i
\(97\) 3.13636 1.81078i 0.318449 0.183857i −0.332252 0.943191i \(-0.607808\pi\)
0.650701 + 0.759334i \(0.274475\pi\)
\(98\) 0.978870 + 8.94958i 0.0988808 + 0.904044i
\(99\) 1.64330 + 12.6628i 0.165158 + 1.27266i
\(100\) 1.04028 + 2.65058i 0.104028 + 0.265058i
\(101\) −10.9035 + 7.43385i −1.08493 + 0.739696i −0.967370 0.253369i \(-0.918461\pi\)
−0.117565 + 0.993065i \(0.537509\pi\)
\(102\) 1.86223 + 6.26499i 0.184388 + 0.620327i
\(103\) −4.14178 + 0.310383i −0.408102 + 0.0305830i −0.277200 0.960812i \(-0.589406\pi\)
−0.130902 + 0.991395i \(0.541787\pi\)
\(104\) 0.154946 2.06760i 0.0151937 0.202745i
\(105\) −5.61263 15.6969i −0.547736 1.53186i
\(106\) −0.352214 4.69997i −0.0342100 0.456501i
\(107\) −0.372578 2.47189i −0.0360185 0.238967i 0.963576 0.267434i \(-0.0861756\pi\)
−0.999595 + 0.0284668i \(0.990938\pi\)
\(108\) −1.07665 1.43890i −0.103601 0.138458i
\(109\) −2.95049 0.444715i −0.282606 0.0425960i 0.00620967 0.999981i \(-0.498023\pi\)
−0.288816 + 0.957385i \(0.593261\pi\)
\(110\) 4.43123 19.4145i 0.422501 1.85110i
\(111\) −1.14572 + 13.4349i −0.108747 + 1.27519i
\(112\) −0.459319 8.42394i −0.0434015 0.795987i
\(113\) 1.91979 + 12.7370i 0.180599 + 1.19820i 0.876981 + 0.480525i \(0.159554\pi\)
−0.696382 + 0.717671i \(0.745208\pi\)
\(114\) −7.62691 + 12.9022i −0.714325 + 1.20840i
\(115\) 11.1133 11.9773i 1.03632 1.11689i
\(116\) 0.914423 0.527942i 0.0849020 0.0490182i
\(117\) −0.265324 2.04452i −0.0245292 0.189016i
\(118\) 5.15923 + 1.17756i 0.474946 + 0.108403i
\(119\) 0.737328 7.72750i 0.0675908 0.708379i
\(120\) 5.41632 + 18.2219i 0.494440 + 1.66342i
\(121\) 5.21674 4.84043i 0.474249 0.440039i
\(122\) −9.93174 12.4540i −0.899178 1.12753i
\(123\) −14.1747 4.53231i −1.27809 0.408665i
\(124\) −2.69725 + 0.615631i −0.242221 + 0.0552853i
\(125\) −2.61702 11.4659i −0.234074 1.02554i
\(126\) −2.60784 9.86967i −0.232324 0.879260i
\(127\) 4.24987 18.6199i 0.377115 1.65225i −0.329134 0.944283i \(-0.606757\pi\)
0.706249 0.707964i \(-0.250386\pi\)
\(128\) 7.53358i 0.665881i
\(129\) −0.235542 3.64527i −0.0207383 0.320948i
\(130\) −0.715456 + 3.13462i −0.0627496 + 0.274924i
\(131\) −1.61581 1.10164i −0.141174 0.0962505i 0.490674 0.871343i \(-0.336751\pi\)
−0.631847 + 0.775093i \(0.717703\pi\)
\(132\) −0.776529 + 2.42858i −0.0675882 + 0.211380i
\(133\) 14.1400 10.8135i 1.22610 0.937649i
\(134\) 0.530337 + 0.422930i 0.0458142 + 0.0365356i
\(135\) 8.94213 + 16.6532i 0.769616 + 1.43328i
\(136\) −1.31934 + 8.75322i −0.113132 + 0.750583i
\(137\) −18.6942 1.40094i −1.59715 0.119690i −0.753819 0.657082i \(-0.771791\pi\)
−0.843333 + 0.537392i \(0.819410\pi\)
\(138\) 7.40416 6.72983i 0.630284 0.572881i
\(139\) 4.01892 + 5.89467i 0.340880 + 0.499980i 0.957952 0.286927i \(-0.0926337\pi\)
−0.617072 + 0.786907i \(0.711681\pi\)
\(140\) 0.316173 3.31362i 0.0267215 0.280052i
\(141\) 3.43547 + 0.0352964i 0.289319 + 0.00297249i
\(142\) −6.84564 3.29669i −0.574473 0.276652i
\(143\) −2.14421 + 1.98954i −0.179308 + 0.166373i
\(144\) 1.93658 + 9.36796i 0.161381 + 0.780663i
\(145\) −10.3382 + 4.05744i −0.858539 + 0.336952i
\(146\) −8.81825 15.2737i −0.729804 1.26406i
\(147\) −1.52039 + 12.0287i −0.125399 + 0.992106i
\(148\) −1.34620 + 2.33169i −0.110657 + 0.191664i
\(149\) −1.36669 + 9.06743i −0.111964 + 0.742832i 0.860444 + 0.509545i \(0.170186\pi\)
−0.972408 + 0.233287i \(0.925052\pi\)
\(150\) −2.54702 18.1626i −0.207963 1.48297i
\(151\) −6.64458 2.04958i −0.540728 0.166793i 0.0123472 0.999924i \(-0.496070\pi\)
−0.553075 + 0.833131i \(0.686546\pi\)
\(152\) −16.7721 + 11.4350i −1.36039 + 0.927502i
\(153\) 0.477293 + 8.78901i 0.0385868 + 0.710549i
\(154\) −9.25861 + 11.1377i −0.746080 + 0.897505i
\(155\) 29.0182 2.17461i 2.33080 0.174669i
\(156\) 0.125377 0.392113i 0.0100382 0.0313941i
\(157\) 5.12370 + 10.6395i 0.408916 + 0.849123i 0.999123 + 0.0418707i \(0.0133318\pi\)
−0.590207 + 0.807252i \(0.700954\pi\)
\(158\) −8.06122 6.42861i −0.641316 0.511432i
\(159\) 1.01044 6.26629i 0.0801328 0.496949i
\(160\) −1.04808 + 6.95353i −0.0828577 + 0.549725i
\(161\) −11.1480 + 4.11578i −0.878587 + 0.324369i
\(162\) 4.58961 + 10.6264i 0.360594 + 0.834893i
\(163\) −0.269339 + 3.59407i −0.0210962 + 0.281510i 0.976672 + 0.214737i \(0.0688893\pi\)
−0.997768 + 0.0667729i \(0.978730\pi\)
\(164\) −2.17830 2.02117i −0.170097 0.157827i
\(165\) 11.8835 24.0414i 0.925131 1.87162i
\(166\) 0.747920 0.431812i 0.0580499 0.0335151i
\(167\) −7.77050 7.20997i −0.601299 0.557924i 0.319685 0.947524i \(-0.396423\pi\)
−0.920984 + 0.389600i \(0.872613\pi\)
\(168\) 2.47801 13.6022i 0.191183 1.04943i
\(169\) −9.18348 + 8.52102i −0.706421 + 0.655463i
\(170\) 4.04609 13.1171i 0.310321 1.00604i
\(171\) −14.0299 + 14.5110i −1.07290 + 1.10968i
\(172\) 0.266480 0.678979i 0.0203189 0.0517717i
\(173\) −5.15331 22.5781i −0.391799 1.71658i −0.658305 0.752751i \(-0.728726\pi\)
0.266506 0.963833i \(-0.414131\pi\)
\(174\) −6.51909 + 1.93775i −0.494211 + 0.146901i
\(175\) −5.27773 + 21.1335i −0.398959 + 1.59754i
\(176\) 9.23138 9.94906i 0.695842 0.749939i
\(177\) 6.38880 + 3.15795i 0.480211 + 0.237366i
\(178\) −10.1774 5.87592i −0.762827 0.440418i
\(179\) 5.49962 + 17.8293i 0.411061 + 1.33263i 0.890473 + 0.455036i \(0.150374\pi\)
−0.479412 + 0.877590i \(0.659150\pi\)
\(180\) 0.204667 + 3.76880i 0.0152550 + 0.280910i
\(181\) 10.5633 8.42398i 0.785166 0.626149i −0.146605 0.989195i \(-0.546835\pi\)
0.931771 + 0.363046i \(0.118263\pi\)
\(182\) 1.49487 1.79827i 0.110807 0.133297i
\(183\) −9.10866 19.4223i −0.673331 1.43574i
\(184\) 12.9493 3.99434i 0.954638 0.294467i
\(185\) 17.6566 22.1407i 1.29814 1.62781i
\(186\) 17.8189 + 0.183073i 1.30655 + 0.0134236i
\(187\) 9.76355 7.78617i 0.713982 0.569381i
\(188\) 0.618089 + 0.297656i 0.0450788 + 0.0217088i
\(189\) −0.325107 13.7439i −0.0236481 0.999720i
\(190\) 28.3609 13.6579i 2.05751 0.990846i
\(191\) −9.81269 + 20.3763i −0.710021 + 1.47437i 0.162966 + 0.986632i \(0.447894\pi\)
−0.872987 + 0.487743i \(0.837820\pi\)
\(192\) −3.56977 + 14.9314i −0.257626 + 1.07758i
\(193\) 4.20571 + 2.02536i 0.302733 + 0.145789i 0.579083 0.815268i \(-0.303411\pi\)
−0.276350 + 0.961057i \(0.589125\pi\)
\(194\) −4.60579 0.694211i −0.330677 0.0498415i
\(195\) −1.91869 + 3.88167i −0.137400 + 0.277972i
\(196\) −1.29471 + 2.04569i −0.0924789 + 0.146121i
\(197\) 5.55330i 0.395656i −0.980237 0.197828i \(-0.936611\pi\)
0.980237 0.197828i \(-0.0633888\pi\)
\(198\) 8.50184 14.0508i 0.604199 0.998545i
\(199\) 4.94863 0.370849i 0.350799 0.0262888i 0.101835 0.994801i \(-0.467529\pi\)
0.248965 + 0.968513i \(0.419910\pi\)
\(200\) 7.32163 23.7362i 0.517718 1.67840i
\(201\) 0.562196 + 0.720024i 0.0396542 + 0.0507865i
\(202\) 16.9250 + 1.26836i 1.19084 + 0.0892412i
\(203\) 8.04091 + 0.767233i 0.564361 + 0.0538492i
\(204\) −0.658884 + 1.62939i −0.0461311 + 0.114080i
\(205\) 19.4872 + 24.4362i 1.36105 + 1.70670i
\(206\) 4.41363 + 3.00916i 0.307512 + 0.209658i
\(207\) 11.8053 6.49614i 0.820528 0.451513i
\(208\) −1.49048 + 1.60635i −0.103346 + 0.111381i
\(209\) 28.3173 + 4.26815i 1.95875 + 0.295234i
\(210\) −6.94347 + 20.2846i −0.479145 + 1.39977i
\(211\) −14.0331 + 2.11515i −0.966078 + 0.145613i −0.613088 0.790015i \(-0.710073\pi\)
−0.352989 + 0.935627i \(0.614835\pi\)
\(212\) 0.713956 1.04718i 0.0490347 0.0719206i
\(213\) −7.93406 6.46166i −0.543633 0.442745i
\(214\) −1.60755 + 2.78436i −0.109890 + 0.190335i
\(215\) −3.83595 + 6.64406i −0.261610 + 0.453121i
\(216\) −0.483115 + 15.6698i −0.0328718 + 1.06619i
\(217\) −19.5401 8.13110i −1.32647 0.551975i
\(218\) 2.61023 + 2.81316i 0.176787 + 0.190531i
\(219\) −6.76726 22.7668i −0.457289 1.53843i
\(220\) 4.18670 3.33878i 0.282267 0.225100i
\(221\) −1.57640 + 1.25714i −0.106040 + 0.0845643i
\(222\) 11.9254 12.5906i 0.800383 0.845028i
\(223\) −19.7306 21.2645i −1.32126 1.42398i −0.835090 0.550114i \(-0.814584\pi\)
−0.486169 0.873865i \(-0.661606\pi\)
\(224\) 2.96640 4.16636i 0.198201 0.278377i
\(225\) 2.35142 24.5868i 0.156761 1.63912i
\(226\) 8.28327 14.3470i 0.550995 0.954351i
\(227\) 0.773428 1.33962i 0.0513342 0.0889135i −0.839216 0.543798i \(-0.816986\pi\)
0.890551 + 0.454884i \(0.150319\pi\)
\(228\) −3.76671 + 1.43384i −0.249456 + 0.0949585i
\(229\) 15.4963 22.7289i 1.02402 1.50197i 0.167493 0.985873i \(-0.446433\pi\)
0.856531 0.516095i \(-0.172615\pi\)
\(230\) −20.7795 + 3.13200i −1.37016 + 0.206518i
\(231\) −15.6146 + 11.6889i −1.02737 + 0.769072i
\(232\) −9.10823 1.37284i −0.597985 0.0901317i
\(233\) −3.95634 + 4.26392i −0.259188 + 0.279339i −0.849217 0.528043i \(-0.822926\pi\)
0.590029 + 0.807382i \(0.299116\pi\)
\(234\) −1.37269 + 2.26861i −0.0897354 + 0.148304i
\(235\) −5.96189 4.06475i −0.388911 0.265155i
\(236\) 0.887252 + 1.11258i 0.0577552 + 0.0724228i
\(237\) −8.54547 10.9445i −0.555088 0.710920i
\(238\) −6.93804 + 7.17907i −0.449726 + 0.465350i
\(239\) −24.9754 1.87165i −1.61552 0.121067i −0.763941 0.645286i \(-0.776738\pi\)
−0.851583 + 0.524219i \(0.824357\pi\)
\(240\) 7.53180 18.6258i 0.486176 1.20229i
\(241\) −8.83886 + 28.6549i −0.569361 + 1.84582i −0.0369821 + 0.999316i \(0.511774\pi\)
−0.532379 + 0.846506i \(0.678702\pi\)
\(242\) −9.12715 + 0.683985i −0.586716 + 0.0439683i
\(243\) 2.68384 + 15.3557i 0.172169 + 0.985067i
\(244\) 4.28352i 0.274225i
\(245\) 16.6726 19.2468i 1.06518 1.22963i
\(246\) 10.6188 + 15.9240i 0.677032 + 1.01528i
\(247\) −4.57205 0.689126i −0.290913 0.0438480i
\(248\) 21.7448 + 10.4717i 1.38079 + 0.664955i
\(249\) 1.11484 0.331379i 0.0706503 0.0210003i
\(250\) −6.56292 + 13.6280i −0.415075 + 0.861913i
\(251\) 12.8211 6.17431i 0.809260 0.389719i 0.0169640 0.999856i \(-0.494600\pi\)
0.792296 + 0.610137i \(0.208886\pi\)
\(252\) 1.10649 2.51225i 0.0697025 0.158257i
\(253\) −17.2243 8.29480i −1.08288 0.521490i
\(254\) −19.2046 + 15.3151i −1.20500 + 0.960957i
\(255\) 9.40709 15.9137i 0.589095 0.996556i
\(256\) −5.01159 + 6.28433i −0.313224 + 0.392771i
\(257\) −26.9510 + 8.31327i −1.68115 + 0.518567i −0.980765 0.195194i \(-0.937466\pi\)
−0.700389 + 0.713761i \(0.746990\pi\)
\(258\) −2.68627 + 3.85435i −0.167240 + 0.239961i
\(259\) −18.7348 + 8.55751i −1.16412 + 0.531738i
\(260\) −0.675975 + 0.539072i −0.0419222 + 0.0334318i
\(261\) −9.14547 + 0.496651i −0.566090 + 0.0307419i
\(262\) 0.741365 + 2.40345i 0.0458017 + 0.148485i
\(263\) −2.73676 1.58007i −0.168756 0.0974311i 0.413243 0.910621i \(-0.364396\pi\)
−0.581999 + 0.813190i \(0.697729\pi\)
\(264\) 18.5054 12.3402i 1.13893 0.759489i
\(265\) −9.06718 + 9.77210i −0.556993 + 0.600295i
\(266\) −22.8897 0.465373i −1.40346 0.0285339i
\(267\) −11.4903 10.8832i −0.703194 0.666043i
\(268\) 0.0405896 + 0.177835i 0.00247941 + 0.0108630i
\(269\) 4.68950 11.9487i 0.285924 0.728523i −0.713682 0.700470i \(-0.752974\pi\)
0.999606 0.0280532i \(-0.00893080\pi\)
\(270\) 4.36241 23.9161i 0.265488 1.45549i
\(271\) −1.01126 + 3.27842i −0.0614296 + 0.199150i −0.981085 0.193576i \(-0.937992\pi\)
0.919656 + 0.392725i \(0.128468\pi\)
\(272\) 6.85809 6.36338i 0.415833 0.385837i
\(273\) 2.52110 1.88726i 0.152584 0.114222i
\(274\) 17.6744 + 16.3994i 1.06775 + 0.990726i
\(275\) −30.3477 + 17.5213i −1.83004 + 1.05657i
\(276\) 2.68500 0.173493i 0.161618 0.0104431i
\(277\) −0.826692 0.767058i −0.0496711 0.0460880i 0.654947 0.755675i \(-0.272691\pi\)
−0.704618 + 0.709587i \(0.748882\pi\)
\(278\) 0.685704 9.15008i 0.0411258 0.548785i
\(279\) 23.2818 + 5.81968i 1.39385 + 0.348415i
\(280\) −20.1794 + 20.8805i −1.20595 + 1.24785i
\(281\) 1.18954 7.89206i 0.0709618 0.470801i −0.924922 0.380158i \(-0.875870\pi\)
0.995883 0.0906431i \(-0.0288923\pi\)
\(282\) −3.42621 2.79037i −0.204028 0.166164i
\(283\) −2.70973 2.16094i −0.161077 0.128454i 0.539635 0.841899i \(-0.318562\pi\)
−0.700711 + 0.713445i \(0.747134\pi\)
\(284\) −0.886508 1.84085i −0.0526046 0.109235i
\(285\) 41.4238 9.00800i 2.45374 0.533588i
\(286\) 3.75149 0.281135i 0.221830 0.0166239i
\(287\) −4.60684 22.2604i −0.271933 1.31399i
\(288\) −2.62304 + 5.17219i −0.154564 + 0.304774i
\(289\) −6.93357 + 4.72723i −0.407857 + 0.278072i
\(290\) 13.6491 + 4.21019i 0.801503 + 0.247231i
\(291\) −5.81526 2.35155i −0.340896 0.137850i
\(292\) 0.706850 4.68964i 0.0413653 0.274441i
\(293\) −9.42285 + 16.3209i −0.550489 + 0.953474i 0.447751 + 0.894159i \(0.352225\pi\)
−0.998239 + 0.0593159i \(0.981108\pi\)
\(294\) 11.1745 10.8761i 0.651710 0.634309i
\(295\) −7.48385 12.9624i −0.435727 0.754701i
\(296\) 21.8639 8.58093i 1.27081 0.498756i
\(297\) 15.5356 15.7414i 0.901466 0.913406i
\(298\) 8.64537 8.02173i 0.500813 0.464687i
\(299\) 2.78100 + 1.33926i 0.160830 + 0.0774514i
\(300\) 2.50968 4.24556i 0.144897 0.245118i
\(301\) 4.67323 3.04888i 0.269361 0.175735i
\(302\) 5.03786 + 7.38918i 0.289896 + 0.425200i
\(303\) 21.7712 + 6.96126i 1.25072 + 0.399914i
\(304\) 21.3938 + 1.60324i 1.22702 + 0.0919523i
\(305\) −6.71503 + 44.5513i −0.384501 + 2.55100i
\(306\) 6.56790 9.22045i 0.375462 0.527098i
\(307\) 6.89286 + 5.49687i 0.393396 + 0.313723i 0.800133 0.599822i \(-0.204762\pi\)
−0.406737 + 0.913545i \(0.633333\pi\)
\(308\) −3.81392 + 0.789298i −0.217318 + 0.0449744i
\(309\) 4.83865 + 5.32348i 0.275261 + 0.302842i
\(310\) −30.9228 21.0828i −1.75630 1.19742i
\(311\) −2.76682 + 12.1222i −0.156892 + 0.687388i 0.833891 + 0.551929i \(0.186108\pi\)
−0.990783 + 0.135459i \(0.956749\pi\)
\(312\) −2.98785 + 1.99243i −0.169154 + 0.112799i
\(313\) 9.00964i 0.509255i −0.967039 0.254628i \(-0.918047\pi\)
0.967039 0.254628i \(-0.0819529\pi\)
\(314\) 3.37962 14.8071i 0.190723 0.835613i
\(315\) −15.4465 + 24.3944i −0.870313 + 1.37447i
\(316\) −0.616969 2.70312i −0.0347072 0.152062i
\(317\) 5.96649 1.36181i 0.335111 0.0764870i −0.0516542 0.998665i \(-0.516449\pi\)
0.386766 + 0.922178i \(0.373592\pi\)
\(318\) −6.04093 + 5.49075i −0.338758 + 0.307906i
\(319\) 8.10196 + 10.1595i 0.453623 + 0.568825i
\(320\) 23.6360 21.9310i 1.32129 1.22598i
\(321\) −2.97747 + 3.14355i −0.166186 + 0.175456i
\(322\) 14.5102 + 4.80093i 0.808623 + 0.267545i
\(323\) 19.2453 + 4.39261i 1.07084 + 0.244411i
\(324\) −0.816725 + 3.00362i −0.0453736 + 0.166868i
\(325\) 4.89988 2.82894i 0.271796 0.156922i
\(326\) 3.15289 3.39801i 0.174623 0.188198i
\(327\) 2.53795 + 4.50204i 0.140349 + 0.248963i
\(328\) 3.86357 + 25.6331i 0.213330 + 1.41535i
\(329\) 2.53110 + 4.59734i 0.139544 + 0.253460i
\(330\) −31.2280 + 14.6453i −1.71904 + 0.806198i
\(331\) 2.26795 9.93654i 0.124658 0.546161i −0.873572 0.486694i \(-0.838203\pi\)
0.998230 0.0594674i \(-0.0189402\pi\)
\(332\) 0.229642 + 0.0346130i 0.0126033 + 0.00189964i
\(333\) 19.5626 12.7568i 1.07202 0.699067i
\(334\) 2.03194 + 13.4810i 0.111183 + 0.737649i
\(335\) −0.143376 1.91322i −0.00783348 0.104530i
\(336\) −11.0107 + 9.60653i −0.600683 + 0.524079i
\(337\) 0.554303 7.39666i 0.0301948 0.402922i −0.961544 0.274650i \(-0.911438\pi\)
0.991739 0.128272i \(-0.0409430\pi\)
\(338\) 16.0673 1.20408i 0.873947 0.0654932i
\(339\) 15.3421 16.1979i 0.833268 0.879746i
\(340\) 3.04990 2.07938i 0.165404 0.112770i
\(341\) −12.4392 31.6946i −0.673620 1.71636i
\(342\) 25.7439 3.34088i 1.39207 0.180654i
\(343\) −17.1449 + 7.00372i −0.925738 + 0.378166i
\(344\) −5.51051 + 3.18150i −0.297107 + 0.171535i
\(345\) −28.1976 2.40468i −1.51811 0.129463i
\(346\) −12.9234 + 26.8357i −0.694765 + 1.44269i
\(347\) 9.14453 2.08718i 0.490904 0.112046i 0.0300989 0.999547i \(-0.490418\pi\)
0.460805 + 0.887501i \(0.347561\pi\)
\(348\) −1.69547 0.685607i −0.0908867 0.0367524i
\(349\) −15.9501 + 23.3944i −0.853787 + 1.25228i 0.112200 + 0.993686i \(0.464210\pi\)
−0.965987 + 0.258590i \(0.916742\pi\)
\(350\) 22.2537 17.0184i 1.18951 0.909672i
\(351\) −2.50834 + 2.54156i −0.133885 + 0.135659i
\(352\) 8.13604 1.22631i 0.433652 0.0653626i
\(353\) −1.79619 + 23.9685i −0.0956016 + 1.27572i 0.718719 + 0.695300i \(0.244729\pi\)
−0.814321 + 0.580415i \(0.802890\pi\)
\(354\) −3.89187 8.29858i −0.206850 0.441064i
\(355\) 6.33444 + 20.5357i 0.336197 + 1.08992i
\(356\) −1.15454 2.94172i −0.0611905 0.155911i
\(357\) −11.3355 + 7.23051i −0.599938 + 0.382679i
\(358\) 8.76711 22.3382i 0.463356 1.18061i
\(359\) −18.0358 1.35159i −0.951891 0.0713344i −0.410276 0.911961i \(-0.634568\pi\)
−0.541615 + 0.840627i \(0.682187\pi\)
\(360\) 19.1029 26.8179i 1.00681 1.41343i
\(361\) 13.1338 + 22.7483i 0.691251 + 1.19728i
\(362\) −17.3770 −0.913315
\(363\) −12.1689 1.96223i −0.638701 0.102990i
\(364\) 0.615787 0.127438i 0.0322760 0.00667958i
\(365\) −14.7033 + 47.6671i −0.769608 + 2.49501i
\(366\) −6.41544 + 26.8341i −0.335341 + 1.40264i
\(367\) 2.25084 + 14.9333i 0.117493 + 0.779514i 0.967523 + 0.252781i \(0.0813452\pi\)
−0.850031 + 0.526733i \(0.823417\pi\)
\(368\) −13.3321 5.23245i −0.694982 0.272760i
\(369\) 8.92199 + 24.1824i 0.464460 + 1.25889i
\(370\) −35.5089 + 8.10467i −1.84602 + 0.421342i
\(371\) 9.09548 3.35800i 0.472214 0.174338i
\(372\) 3.71558 + 3.02605i 0.192644 + 0.156893i
\(373\) −9.64340 16.7029i −0.499316 0.864842i 0.500683 0.865631i \(-0.333082\pi\)
−1.00000 0.000789068i \(0.999749\pi\)
\(374\) −16.0613 −0.830512
\(375\) −12.8636 + 15.7948i −0.664274 + 0.815641i
\(376\) −2.59663 5.39196i −0.133911 0.278069i
\(377\) −1.30812 1.64034i −0.0673719 0.0844816i
\(378\) −10.6942 + 14.0807i −0.550051 + 0.724236i
\(379\) −5.14719 + 6.45437i −0.264393 + 0.331539i −0.896252 0.443545i \(-0.853721\pi\)
0.631859 + 0.775083i \(0.282292\pi\)
\(380\) 8.25253 + 1.88359i 0.423346 + 0.0966260i
\(381\) −29.9499 + 14.0459i −1.53438 + 0.719594i
\(382\) 26.2067 12.6205i 1.34085 0.645719i
\(383\) −7.19904 + 18.3429i −0.367854 + 0.937277i 0.620376 + 0.784304i \(0.286980\pi\)
−0.988230 + 0.152973i \(0.951115\pi\)
\(384\) 10.2848 8.03040i 0.524844 0.409799i
\(385\) 40.9044 2.23033i 2.08468 0.113668i
\(386\) −2.60489 5.40911i −0.132585 0.275316i
\(387\) −4.72543 + 4.20722i −0.240207 + 0.213865i
\(388\) −0.851935 0.918168i −0.0432505 0.0466129i
\(389\) −14.3976 21.1174i −0.729988 1.07070i −0.994337 0.106269i \(-0.966110\pi\)
0.264349 0.964427i \(-0.414843\pi\)
\(390\) 5.04200 2.36460i 0.255312 0.119736i
\(391\) −11.4126 6.58907i −0.577160 0.333224i
\(392\) 19.9571 6.91041i 1.00798 0.349028i
\(393\) 0.218413 + 3.38018i 0.0110175 + 0.170507i
\(394\) −4.45315 + 5.58407i −0.224346 + 0.281322i
\(395\) 2.17934 + 29.0813i 0.109655 + 1.46324i
\(396\) 4.14322 1.52862i 0.208205 0.0768161i
\(397\) 0.635314 + 0.931835i 0.0318855 + 0.0467674i 0.841851 0.539711i \(-0.181466\pi\)
−0.809965 + 0.586478i \(0.800514\pi\)
\(398\) −5.27344 3.59537i −0.264334 0.180220i
\(399\) −29.8351 7.77730i −1.49362 0.389352i
\(400\) −21.6908 + 14.7885i −1.08454 + 0.739426i
\(401\) 2.15916 + 0.847407i 0.107823 + 0.0423175i 0.418639 0.908153i \(-0.362507\pi\)
−0.310816 + 0.950470i \(0.600602\pi\)
\(402\) 0.0120704 1.17483i 0.000602015 0.0585954i
\(403\) 2.00840 + 5.11733i 0.100046 + 0.254912i
\(404\) 3.34569 + 3.10435i 0.166454 + 0.154447i
\(405\) 13.2030 29.9592i 0.656065 1.48868i
\(406\) −7.47023 7.21943i −0.370741 0.358294i
\(407\) −30.8443 12.1055i −1.52890 0.600048i
\(408\) 13.3562 7.52932i 0.661230 0.372757i
\(409\) −4.42077 1.00901i −0.218593 0.0498925i 0.111822 0.993728i \(-0.464331\pi\)
−0.330415 + 0.943836i \(0.607189\pi\)
\(410\) 40.1983i 1.98525i
\(411\) 18.0145 + 27.0145i 0.888588 + 1.33253i
\(412\) 0.423406 + 1.37265i 0.0208597 + 0.0676255i
\(413\) 0.592692 + 10.8700i 0.0291645 + 0.534878i
\(414\) −17.0800 2.93448i −0.839435 0.144222i
\(415\) −2.33416 0.719993i −0.114579 0.0353431i
\(416\) −1.31363 + 0.197997i −0.0644058 + 0.00970762i
\(417\) 3.76342 11.7700i 0.184296 0.576380i
\(418\) −25.0516 26.9993i −1.22532 1.32058i
\(419\) 14.9728 + 4.61850i 0.731470 + 0.225629i 0.638047 0.769998i \(-0.279743\pi\)
0.0934237 + 0.995626i \(0.470219\pi\)
\(420\) −4.86076 + 3.10050i −0.237181 + 0.151289i
\(421\) −2.19484 + 0.677019i −0.106970 + 0.0329959i −0.347778 0.937577i \(-0.613064\pi\)
0.240808 + 0.970573i \(0.422588\pi\)
\(422\) 15.8070 + 9.12616i 0.769472 + 0.444255i
\(423\) −3.61385 4.72772i −0.175711 0.229869i
\(424\) −10.5651 + 3.25892i −0.513089 + 0.158267i
\(425\) −21.7634 + 10.4807i −1.05568 + 0.508388i
\(426\) 2.79647 + 12.8597i 0.135489 + 0.623056i
\(427\) 19.0057 26.6939i 0.919753 1.29181i
\(428\) −0.804805 + 0.315863i −0.0389017 + 0.0152678i
\(429\) 5.00172 + 0.806525i 0.241485 + 0.0389394i
\(430\) 9.18503 3.60486i 0.442942 0.173842i
\(431\) 7.93507 11.6386i 0.382219 0.560612i −0.586129 0.810218i \(-0.699349\pi\)
0.968348 + 0.249606i \(0.0803010\pi\)
\(432\) 10.7248 12.6296i 0.515997 0.607640i
\(433\) −4.08965 + 8.49224i −0.196536 + 0.408111i −0.975825 0.218554i \(-0.929866\pi\)
0.779289 + 0.626665i \(0.215580\pi\)
\(434\) 13.1282 + 23.8453i 0.630172 + 1.14461i
\(435\) 16.5591 + 9.78862i 0.793950 + 0.469329i
\(436\) 0.0771188 + 1.02908i 0.00369332 + 0.0492839i
\(437\) −6.72450 29.4620i −0.321677 1.40936i
\(438\) −11.4517 + 28.3195i −0.547185 + 1.35316i
\(439\) 20.6383 + 16.4585i 0.985011 + 0.785520i 0.976736 0.214445i \(-0.0687944\pi\)
0.00827535 + 0.999966i \(0.497366\pi\)
\(440\) −46.7147 −2.22704
\(441\) 18.0421 10.7463i 0.859148 0.511728i
\(442\) 2.59323 0.123347
\(443\) 17.6193 + 14.0509i 0.837118 + 0.667580i 0.945175 0.326565i \(-0.105891\pi\)
−0.108056 + 0.994145i \(0.534463\pi\)
\(444\) 4.61819 0.647630i 0.219170 0.0307351i
\(445\) 7.39637 + 32.4056i 0.350622 + 1.53617i
\(446\) 2.78807 + 37.2042i 0.132019 + 1.76167i
\(447\) 13.8356 7.79959i 0.654403 0.368908i
\(448\) −22.5449 + 6.45532i −1.06514 + 0.304985i
\(449\) −6.59031 + 13.6849i −0.311016 + 0.645831i −0.996621 0.0821429i \(-0.973824\pi\)
0.685605 + 0.727974i \(0.259538\pi\)
\(450\) −22.0805 + 22.8375i −1.04088 + 1.07657i
\(451\) 20.6008 30.2158i 0.970052 1.42280i
\(452\) 4.14694 1.62755i 0.195056 0.0765537i
\(453\) 4.28469 + 11.2559i 0.201312 + 0.528848i
\(454\) −1.85194 + 0.726834i −0.0869160 + 0.0341120i
\(455\) −6.60434 + 0.360104i −0.309616 + 0.0168820i
\(456\) 33.4892 + 10.7080i 1.56827 + 0.501450i
\(457\) 21.7948 10.4958i 1.01952 0.490974i 0.152001 0.988380i \(-0.451428\pi\)
0.867518 + 0.497406i \(0.165714\pi\)
\(458\) −33.8083 + 10.4285i −1.57976 + 0.487291i
\(459\) 11.4899 10.0202i 0.536304 0.467703i
\(460\) −4.89382 2.82545i −0.228176 0.131737i
\(461\) −0.913127 + 0.281662i −0.0425286 + 0.0131183i −0.315946 0.948777i \(-0.602322\pi\)
0.273418 + 0.961895i \(0.411846\pi\)
\(462\) 25.0744 + 0.767567i 1.16657 + 0.0357105i
\(463\) 18.2118 + 5.61760i 0.846374 + 0.261072i 0.687462 0.726221i \(-0.258725\pi\)
0.158913 + 0.987293i \(0.449201\pi\)
\(464\) 6.62146 + 7.13624i 0.307394 + 0.331292i
\(465\) −33.9006 37.2975i −1.57210 1.72963i
\(466\) 7.39747 1.11499i 0.342681 0.0516509i
\(467\) −10.3874 3.20409i −0.480672 0.148268i 0.0449442 0.998989i \(-0.485689\pi\)
−0.525616 + 0.850722i \(0.676165\pi\)
\(468\) −0.668955 + 0.246808i −0.0309225 + 0.0114087i
\(469\) −0.536098 + 1.28832i −0.0247547 + 0.0594890i
\(470\) 2.73544 + 8.86807i 0.126176 + 0.409054i
\(471\) 9.06336 18.3360i 0.417618 0.844877i
\(472\) 12.4141i 0.571403i
\(473\) 8.75151 + 1.99747i 0.402395 + 0.0918440i
\(474\) −0.183472 + 17.8577i −0.00842713 + 0.820231i
\(475\) −51.5636 20.2372i −2.36590 0.928547i
\(476\) −2.66232 + 0.346092i −0.122027 + 0.0158631i
\(477\) −9.63178 + 5.30009i −0.441009 + 0.242674i
\(478\) 23.6130 + 21.9096i 1.08003 + 1.00212i
\(479\) 1.92865 + 4.91411i 0.0881222 + 0.224532i 0.968140 0.250409i \(-0.0805649\pi\)
−0.880018 + 0.474940i \(0.842470\pi\)
\(480\) 10.6101 5.98127i 0.484284 0.273006i
\(481\) 4.98006 + 1.95453i 0.227071 + 0.0891189i
\(482\) 31.8660 21.7259i 1.45146 0.989585i
\(483\) 17.5020 + 10.8320i 0.796370 + 0.492874i
\(484\) −2.03358 1.38647i −0.0924356 0.0630215i
\(485\) 7.42130 + 10.8850i 0.336984 + 0.494264i
\(486\) 9.61489 17.5929i 0.436140 0.798032i
\(487\) −1.18801 15.8528i −0.0538337 0.718360i −0.957188 0.289466i \(-0.906522\pi\)
0.903355 0.428894i \(-0.141097\pi\)
\(488\) −23.2984 + 29.2153i −1.05467 + 1.32251i
\(489\) 5.19371 3.46339i 0.234868 0.156620i
\(490\) −32.1989 + 5.98382i −1.45460 + 0.270321i
\(491\) −25.0398 14.4567i −1.13003 0.652423i −0.186087 0.982533i \(-0.559581\pi\)
−0.943942 + 0.330111i \(0.892914\pi\)
\(492\) −0.437335 + 5.12826i −0.0197166 + 0.231200i
\(493\) 5.04589 + 7.40095i 0.227255 + 0.333322i
\(494\) 4.04478 + 4.35924i 0.181983 + 0.196131i
\(495\) −45.4884 + 9.40352i −2.04455 + 0.422657i
\(496\) −11.0673 22.9815i −0.496936 1.03190i
\(497\) 2.64326 15.4051i 0.118566 0.691015i
\(498\) −1.38675 0.560768i −0.0621418 0.0251286i
\(499\) 0.970934 2.47390i 0.0434650 0.110747i −0.907493 0.420068i \(-0.862006\pi\)
0.950958 + 0.309321i \(0.100102\pi\)
\(500\) −3.66470 + 1.76483i −0.163890 + 0.0789255i
\(501\) −1.56007 + 18.2937i −0.0696990 + 0.817302i
\(502\) −17.8433 4.07261i −0.796384 0.181770i
\(503\) 18.0102 22.5841i 0.803034 1.00697i −0.196615 0.980481i \(-0.562995\pi\)
0.999649 0.0264923i \(-0.00843373\pi\)
\(504\) −21.2110 + 11.1162i −0.944814 + 0.495155i
\(505\) −29.9307 37.5320i −1.33190 1.67015i
\(506\) 10.6682 + 22.1528i 0.474261 + 0.984814i
\(507\) 21.4219 + 3.45428i 0.951382 + 0.153410i
\(508\) −6.60536 −0.293065
\(509\) −18.8603 32.6670i −0.835967 1.44794i −0.893241 0.449579i \(-0.851574\pi\)
0.0572738 0.998359i \(-0.481759\pi\)
\(510\) −22.2203 + 8.45844i −0.983933 + 0.374546i
\(511\) 25.2126 26.0885i 1.11534 1.15409i
\(512\) 24.7681 5.65316i 1.09461 0.249837i
\(513\) 34.7655 + 3.68568i 1.53493 + 0.162727i
\(514\) 33.7667 + 13.2524i 1.48938 + 0.584540i
\(515\) −2.25186 14.9401i −0.0992289 0.658341i
\(516\) −1.21099 + 0.359959i −0.0533110 + 0.0158463i
\(517\) −2.48855 + 8.06770i −0.109446 + 0.354817i
\(518\) 25.7008 + 6.41835i 1.12923 + 0.282006i
\(519\) −25.3304 + 31.1024i −1.11188 + 1.36524i
\(520\) 7.54246 0.330759
\(521\) −0.440505 0.762977i −0.0192989 0.0334266i 0.856215 0.516620i \(-0.172810\pi\)
−0.875514 + 0.483194i \(0.839477\pi\)
\(522\) 9.59441 + 6.83428i 0.419936 + 0.299128i
\(523\) −4.54787 0.340816i −0.198865 0.0149028i −0.0250747 0.999686i \(-0.507982\pi\)
−0.173790 + 0.984783i \(0.555601\pi\)
\(524\) −0.247101 + 0.629603i −0.0107947 + 0.0275043i
\(525\) 34.4771 15.3220i 1.50470 0.668707i
\(526\) 1.48488 + 3.78341i 0.0647438 + 0.164964i
\(527\) −6.91794 22.4274i −0.301350 0.976953i
\(528\) −23.4226 1.99746i −1.01934 0.0869284i
\(529\) 0.211187 2.81810i 0.00918206 0.122526i
\(530\) 16.9536 2.55535i 0.736418 0.110997i
\(531\) −2.49891 12.0882i −0.108443 0.524581i
\(532\) −4.73433 3.93557i −0.205259 0.170629i
\(533\) −3.32615 + 4.87857i −0.144072 + 0.211314i
\(534\) 2.82678 + 20.1575i 0.122327 + 0.872301i
\(535\) 8.86562 2.02352i 0.383294 0.0874844i
\(536\) 0.690420 1.43367i 0.0298216 0.0619252i
\(537\) 18.4782 26.5132i 0.797393 1.14413i
\(538\) −14.2970 + 8.25440i −0.616389 + 0.355872i
\(539\) −27.2695 12.0034i −1.17458 0.517024i
\(540\) 4.92698 4.29675i 0.212024 0.184903i
\(541\) −10.3966 26.4900i −0.446983 1.13889i −0.959872 0.280439i \(-0.909520\pi\)
0.512889 0.858455i \(-0.328575\pi\)
\(542\) 3.64580 2.48567i 0.156601 0.106769i
\(543\) −22.7603 5.44150i −0.976739 0.233517i
\(544\) 5.65583 0.423846i 0.242492 0.0181722i
\(545\) 0.811143 10.8240i 0.0347456 0.463647i
\(546\) −4.04845 0.123930i −0.173258 0.00530370i
\(547\) 1.94261 + 25.9223i 0.0830600 + 1.10836i 0.870566 + 0.492052i \(0.163753\pi\)
−0.787506 + 0.616307i \(0.788628\pi\)
\(548\) 0.966327 + 6.41116i 0.0412795 + 0.273871i
\(549\) −16.8058 + 33.1382i −0.717256 + 1.41430i
\(550\) 44.5661 + 6.71726i 1.90030 + 0.286425i
\(551\) −4.57076 + 20.0258i −0.194721 + 0.853128i
\(552\) −19.2564 13.4206i −0.819605 0.571219i
\(553\) 8.14878 19.5826i 0.346521 0.832739i
\(554\) 0.216175 + 1.43423i 0.00918439 + 0.0609345i
\(555\) −49.0473 0.503916i −2.08194 0.0213901i
\(556\) 1.67828 1.80876i 0.0711751 0.0767085i
\(557\) 33.2529 19.1986i 1.40897 0.813469i 0.413681 0.910422i \(-0.364243\pi\)
0.995289 + 0.0969529i \(0.0309096\pi\)
\(558\) −18.7441 24.5215i −0.793501 1.03808i
\(559\) −1.41300 0.322508i −0.0597635 0.0136406i
\(560\) 30.4334 3.95622i 1.28604 0.167181i
\(561\) −21.0371 5.02951i −0.888186 0.212346i
\(562\) −7.52472 + 6.98192i −0.317411 + 0.294514i
\(563\) −5.82470 7.30394i −0.245482 0.307825i 0.643791 0.765201i \(-0.277361\pi\)
−0.889273 + 0.457377i \(0.848789\pi\)
\(564\) −0.252492 1.16110i −0.0106318 0.0488910i
\(565\) −45.6822 + 10.4267i −1.92186 + 0.438653i
\(566\) 0.991906 + 4.34582i 0.0416929 + 0.182669i
\(567\) −18.4165 + 15.0941i −0.773422 + 0.633892i
\(568\) −3.96621 + 17.3771i −0.166419 + 0.729128i
\(569\) 45.9091i 1.92461i −0.271971 0.962305i \(-0.587675\pi\)
0.271971 0.962305i \(-0.412325\pi\)
\(570\) −48.8768 24.1595i −2.04723 1.01193i
\(571\) −3.91104 + 17.1354i −0.163672 + 0.717094i 0.824767 + 0.565473i \(0.191306\pi\)
−0.988439 + 0.151621i \(0.951551\pi\)
\(572\) 0.835854 + 0.569875i 0.0349488 + 0.0238277i
\(573\) 38.2774 8.32378i 1.59906 0.347731i
\(574\) −13.2181 + 26.0780i −0.551713 + 1.08847i
\(575\) 28.9113 + 23.0560i 1.20569 + 0.961502i
\(576\) 24.1894 11.0426i 1.00789 0.460110i
\(577\) −6.03694 + 40.0525i −0.251321 + 1.66741i 0.406058 + 0.913847i \(0.366903\pi\)
−0.657379 + 0.753560i \(0.728335\pi\)
\(578\) 10.7627 + 0.806555i 0.447670 + 0.0335483i
\(579\) −1.71805 7.90053i −0.0713995 0.328335i
\(580\) 2.16372 + 3.17359i 0.0898435 + 0.131776i
\(581\) 1.27750 + 1.23461i 0.0529996 + 0.0512202i
\(582\) 3.96179 + 7.02780i 0.164222 + 0.291311i
\(583\) 14.0530 + 6.76759i 0.582017 + 0.280285i
\(584\) −30.3283 + 28.1405i −1.25499 + 1.16446i
\(585\) 7.34445 1.51827i 0.303656 0.0627728i
\(586\) 22.5626 8.85519i 0.932054 0.365804i
\(587\) −1.26209 2.18600i −0.0520920 0.0902261i 0.838804 0.544434i \(-0.183256\pi\)
−0.890896 + 0.454208i \(0.849922\pi\)
\(588\) 4.17286 0.413074i 0.172086 0.0170349i
\(589\) 26.9104 46.6102i 1.10882 1.92054i
\(590\) −2.86914 + 19.0355i −0.118121 + 0.783679i
\(591\) −7.58134 + 5.91952i −0.311854 + 0.243497i
\(592\) −23.7204 7.31678i −0.974904 0.300718i
\(593\) −13.0654 + 8.90781i −0.536530 + 0.365800i −0.801066 0.598576i \(-0.795734\pi\)
0.264536 + 0.964376i \(0.414781\pi\)
\(594\) −28.2446 + 3.37071i −1.15889 + 0.138302i
\(595\) 28.2323 + 0.573995i 1.15741 + 0.0235315i
\(596\) 3.16255 0.237001i 0.129543 0.00970793i
\(597\) −5.78126 6.36054i −0.236611 0.260320i
\(598\) −1.72247 3.57675i −0.0704371 0.146264i
\(599\) 5.32116 + 4.24349i 0.217417 + 0.173384i 0.726142 0.687545i \(-0.241312\pi\)
−0.508725 + 0.860929i \(0.669883\pi\)
\(600\) −40.2090 + 15.3060i −1.64152 + 0.624866i
\(601\) 0.347919 2.30829i 0.0141919 0.0941571i −0.980614 0.195952i \(-0.937220\pi\)
0.994805 + 0.101795i \(0.0324585\pi\)
\(602\) −7.14400 0.681653i −0.291168 0.0277821i
\(603\) 0.383702 1.53501i 0.0156255 0.0625106i
\(604\) −0.179718 + 2.39817i −0.00731262 + 0.0975801i
\(605\) 18.9770 + 17.6081i 0.771526 + 0.715872i
\(606\) −16.3096 24.4580i −0.662534 0.993537i
\(607\) 28.1635 16.2602i 1.14312 0.659982i 0.195920 0.980620i \(-0.437231\pi\)
0.947202 + 0.320638i \(0.103897\pi\)
\(608\) 9.53416 + 8.84640i 0.386661 + 0.358769i
\(609\) −7.52376 11.7952i −0.304878 0.477967i
\(610\) 42.4776 39.4135i 1.71987 1.59580i
\(611\) 0.401797 1.30259i 0.0162549 0.0526972i
\(612\) 2.92676 0.837334i 0.118307 0.0338472i
\(613\) −14.5242 + 37.0071i −0.586627 + 1.49470i 0.261657 + 0.965161i \(0.415731\pi\)
−0.848285 + 0.529541i \(0.822364\pi\)
\(614\) −2.52316 11.0547i −0.101826 0.446130i
\(615\) 12.5878 52.6515i 0.507591 2.12312i
\(616\) 30.3054 + 15.3609i 1.22104 + 0.618907i
\(617\) 18.9278 20.3993i 0.762004 0.821246i −0.226249 0.974070i \(-0.572646\pi\)
0.988253 + 0.152824i \(0.0488368\pi\)
\(618\) −0.596602 9.23307i −0.0239988 0.371408i
\(619\) −4.34959 2.51124i −0.174825 0.100935i 0.410034 0.912070i \(-0.365517\pi\)
−0.584859 + 0.811135i \(0.698850\pi\)
\(620\) −2.96647 9.61706i −0.119136 0.386230i
\(621\) −21.4524 9.19206i −0.860854 0.368865i
\(622\) 12.5029 9.97071i 0.501319 0.399789i
\(623\) 5.85743 23.4547i 0.234673 0.939694i
\(624\) 3.78176 + 0.322506i 0.151391 + 0.0129106i
\(625\) 1.54556 0.476743i 0.0618226 0.0190697i
\(626\) −7.22477 + 9.05957i −0.288760 + 0.362093i
\(627\) −24.3579 43.2083i −0.972761 1.72557i
\(628\) 3.19312 2.54643i 0.127420 0.101614i
\(629\) −20.5786 9.91013i −0.820522 0.395143i
\(630\) 35.0938 12.1431i 1.39817 0.483792i
\(631\) 12.4725 6.00643i 0.496521 0.239112i −0.168826 0.985646i \(-0.553998\pi\)
0.665347 + 0.746534i \(0.268283\pi\)
\(632\) −10.4945 + 21.7921i −0.417449 + 0.866841i
\(633\) 17.8461 + 16.9033i 0.709319 + 0.671844i
\(634\) −7.09158 3.41513i −0.281643 0.135632i
\(635\) 68.6998 + 10.3548i 2.72627 + 0.410919i
\(636\) −2.19064 + 0.141550i −0.0868647 + 0.00561283i
\(637\) 4.40287 + 1.93805i 0.174448 + 0.0767882i
\(638\) 16.7127i 0.661664i
\(639\) −0.364138 + 17.7193i −0.0144051 + 0.700965i
\(640\) −27.3284 + 2.04798i −1.08025 + 0.0809536i
\(641\) −8.81480 + 28.5769i −0.348164 + 1.12872i 0.597033 + 0.802217i \(0.296346\pi\)
−0.945197 + 0.326502i \(0.894130\pi\)
\(642\) 5.51475 0.773359i 0.217650 0.0305220i
\(643\) 25.1202 + 1.88250i 0.990643 + 0.0742385i 0.560181 0.828370i \(-0.310732\pi\)
0.430462 + 0.902609i \(0.358351\pi\)
\(644\) 2.24572 + 3.44216i 0.0884936 + 0.135640i
\(645\) 13.1594 1.84540i 0.518149 0.0726624i
\(646\) −15.8295 19.8496i −0.622804 0.780972i
\(647\) 4.85015 + 3.30678i 0.190679 + 0.130003i 0.654897 0.755718i \(-0.272712\pi\)
−0.464218 + 0.885721i \(0.653664\pi\)
\(648\) 21.9073 16.0436i 0.860600 0.630253i
\(649\) −11.9119 + 12.8380i −0.467584 + 0.503935i
\(650\) −7.19554 1.08455i −0.282232 0.0425397i
\(651\) 9.72823 + 35.3434i 0.381279 + 1.38522i
\(652\) 1.23259 0.185782i 0.0482718 0.00727580i
\(653\) 21.3541 31.3208i 0.835652 1.22568i −0.136340 0.990662i \(-0.543534\pi\)
0.971992 0.235014i \(-0.0755136\pi\)
\(654\) 1.05814 6.56215i 0.0413767 0.256600i
\(655\) 3.55699 6.16089i 0.138983 0.240726i
\(656\) 13.6985 23.7264i 0.534835 0.926362i
\(657\) −23.8675 + 33.5068i −0.931161 + 1.30722i
\(658\) 1.14145 6.65249i 0.0444984 0.259341i
\(659\) 5.20866 + 5.61360i 0.202901 + 0.218675i 0.826302 0.563227i \(-0.190440\pi\)
−0.623402 + 0.781902i \(0.714250\pi\)
\(660\) −9.02088 2.15670i −0.351137 0.0839493i
\(661\) 27.7202 22.1061i 1.07819 0.859827i 0.0875263 0.996162i \(-0.472104\pi\)
0.990663 + 0.136335i \(0.0435324\pi\)
\(662\) −10.2486 + 8.17295i −0.398321 + 0.317651i
\(663\) 3.39660 + 0.812053i 0.131913 + 0.0315375i
\(664\) −1.37799 1.48512i −0.0534762 0.0576337i
\(665\) 43.0704 + 48.3541i 1.67020 + 1.87509i
\(666\) −29.9005 2.85961i −1.15862 0.110808i
\(667\) 6.85630 11.8755i 0.265477 0.459820i
\(668\) −1.83306 + 3.17495i −0.0709232 + 0.122843i
\(669\) −7.99846 + 49.6030i −0.309238 + 1.91776i
\(670\) −1.39003 + 2.03880i −0.0537015 + 0.0787656i
\(671\) 52.1276 7.85697i 2.01236 0.303315i
\(672\) −8.84992 + 0.391402i −0.341393 + 0.0150986i
\(673\) −30.7312 4.63198i −1.18460 0.178550i −0.472954 0.881087i \(-0.656812\pi\)
−0.711647 + 0.702537i \(0.752050\pi\)
\(674\) −6.48870 + 6.99316i −0.249936 + 0.269366i
\(675\) −36.0723 + 22.9981i −1.38842 + 0.885198i
\(676\) 3.57989 + 2.44073i 0.137688 + 0.0938742i
\(677\) −22.5498 28.2765i −0.866658 1.08675i −0.995469 0.0950856i \(-0.969688\pi\)
0.128811 0.991669i \(-0.458884\pi\)
\(678\) −28.4160 + 3.98491i −1.09131 + 0.153040i
\(679\) −1.23520 9.50179i −0.0474025 0.364645i
\(680\) −32.1114 2.40642i −1.23142 0.0922819i
\(681\) −2.65327 + 0.372080i −0.101674 + 0.0142581i
\(682\) −12.9075 + 41.8451i −0.494254 + 1.60233i
\(683\) −41.5373 + 3.11279i −1.58938 + 0.119108i −0.839833 0.542844i \(-0.817347\pi\)
−0.749546 + 0.661952i \(0.769728\pi\)
\(684\) 5.97258 + 3.61389i 0.228367 + 0.138180i
\(685\) 68.1949i 2.60559i
\(686\) 22.8562 + 6.70584i 0.872652 + 0.256030i
\(687\) −47.5476 + 3.07233i −1.81405 + 0.117217i
\(688\) 6.64977 + 1.00229i 0.253520 + 0.0382120i
\(689\) −2.26897 1.09268i −0.0864410 0.0416278i
\(690\) 26.4256 + 25.0295i 1.00601 + 0.952856i
\(691\) −13.2389 + 27.4908i −0.503630 + 1.04580i 0.481889 + 0.876232i \(0.339951\pi\)
−0.985519 + 0.169566i \(0.945764\pi\)
\(692\) −7.21635 + 3.47521i −0.274325 + 0.132108i
\(693\) 32.6019 + 8.85724i 1.23845 + 0.336459i
\(694\) −10.8689 5.23419i −0.412578 0.198687i
\(695\) −20.2907 + 16.1813i −0.769669 + 0.613791i
\(696\) 7.83469 + 13.8979i 0.296973 + 0.526798i
\(697\) 15.7173 19.7089i 0.595336 0.746528i
\(698\) 34.7983 10.7339i 1.31713 0.406282i
\(699\) 10.0383 + 0.856062i 0.379684 + 0.0323792i
\(700\) 7.53200 + 0.153134i 0.284683 + 0.00578793i
\(701\) 1.82092 1.45213i 0.0687751 0.0548463i −0.588499 0.808498i \(-0.700281\pi\)
0.657274 + 0.753652i \(0.271709\pi\)
\(702\) 4.56030 0.544228i 0.172118 0.0205405i
\(703\) −15.4384 50.0501i −0.582271 1.88768i
\(704\) −32.6721 18.8632i −1.23138 0.710935i
\(705\) 0.805885 + 12.4719i 0.0303514 + 0.469721i
\(706\) 21.0263 22.6610i 0.791336 0.852858i
\(707\) 7.07572 + 34.1902i 0.266110 + 1.28585i
\(708\) 0.573124 2.39722i 0.0215393 0.0900932i
\(709\) −1.19047 5.21578i −0.0447089 0.195883i 0.947641 0.319337i \(-0.103460\pi\)
−0.992350 + 0.123454i \(0.960603\pi\)
\(710\) 10.0979 25.7291i 0.378968 0.965596i
\(711\) −5.83233 + 23.3325i −0.218729 + 0.875036i
\(712\) −8.12583 + 26.3433i −0.304528 + 0.987257i
\(713\) −26.3383 + 24.4384i −0.986377 + 0.915224i
\(714\) 17.1964 + 1.81928i 0.643559 + 0.0680847i
\(715\) −7.80003 7.23737i −0.291705 0.270662i
\(716\) 5.58848 3.22651i 0.208851 0.120580i
\(717\) 24.0673 + 36.0914i 0.898809 + 1.34786i
\(718\) 17.0519 + 15.8218i 0.636370 + 0.590465i
\(719\) −0.796740 + 10.6318i −0.0297134 + 0.396498i 0.962442 + 0.271487i \(0.0875155\pi\)
−0.992155 + 0.125010i \(0.960104\pi\)
\(720\) −33.4563 + 9.57168i −1.24684 + 0.356716i
\(721\) −3.45180 + 10.4326i −0.128552 + 0.388532i
\(722\) 5.03519 33.4063i 0.187390 1.24325i
\(723\) 48.5412 18.4778i 1.80527 0.687197i
\(724\) −3.65337 2.91346i −0.135776 0.108278i
\(725\) −10.9058 22.6461i −0.405030 0.841054i
\(726\) 10.6628 + 11.7312i 0.395735 + 0.435388i
\(727\) 9.90593 0.742347i 0.367391 0.0275321i 0.110244 0.993905i \(-0.464837\pi\)
0.257147 + 0.966372i \(0.417218\pi\)
\(728\) −4.89305 2.48013i −0.181348 0.0919198i
\(729\) 18.1027 20.0323i 0.670469 0.741937i
\(730\) 53.0087 36.1407i 1.96194 1.33763i
\(731\) 5.91283 + 1.82387i 0.218694 + 0.0674582i
\(732\) −5.84785 + 4.56601i −0.216143 + 0.168765i
\(733\) −7.03993 + 46.7069i −0.260026 + 1.72516i 0.353458 + 0.935450i \(0.385006\pi\)
−0.613484 + 0.789707i \(0.710232\pi\)
\(734\) 9.71163 16.8210i 0.358463 0.620876i
\(735\) −44.0478 2.24532i −1.62473 0.0828197i
\(736\) −4.34130 7.51936i −0.160023 0.277167i
\(737\) −2.08968 + 0.820139i −0.0769743 + 0.0302102i
\(738\) 10.4203 31.4709i 0.383576 1.15846i
\(739\) 27.7542 25.7522i 1.02096 0.947309i 0.0223324 0.999751i \(-0.492891\pi\)
0.998624 + 0.0524415i \(0.0167003\pi\)
\(740\) −8.82428 4.24955i −0.324387 0.156217i
\(741\) 3.93277 + 6.97631i 0.144474 + 0.256281i
\(742\) −11.8386 3.91699i −0.434610 0.143797i
\(743\) 11.7835 + 17.2832i 0.432293 + 0.634058i 0.979143 0.203173i \(-0.0651254\pi\)
−0.546850 + 0.837231i \(0.684173\pi\)
\(744\) −8.88282 40.8482i −0.325660 1.49757i
\(745\) −33.2641 2.49280i −1.21870 0.0913290i
\(746\) −3.69706 + 24.5284i −0.135359 + 0.898049i
\(747\) −1.64076 1.16874i −0.0600323 0.0427621i
\(748\) −3.37676 2.69288i −0.123467 0.0984613i
\(749\) −6.41681 1.60249i −0.234465 0.0585538i
\(750\) 25.6007 5.56710i 0.934804 0.203282i
\(751\) −31.9422 21.7778i −1.16559 0.794684i −0.183483 0.983023i \(-0.558737\pi\)
−0.982104 + 0.188339i \(0.939690\pi\)
\(752\) −1.40744 + 6.16641i −0.0513241 + 0.224866i
\(753\) −22.0957 10.9218i −0.805213 0.398012i
\(754\) 2.69840i 0.0982701i
\(755\) 5.62865 24.6607i 0.204847 0.897495i
\(756\) −4.60917 + 1.16734i −0.167634 + 0.0424559i
\(757\) 4.55046 + 19.9369i 0.165389 + 0.724618i 0.987800 + 0.155725i \(0.0497713\pi\)
−0.822411 + 0.568894i \(0.807372\pi\)
\(758\) 10.3514 2.36265i 0.375981 0.0858152i
\(759\) 7.03620 + 32.3564i 0.255398 + 1.17446i
\(760\) −46.0405 57.7329i −1.67006 2.09419i
\(761\) −30.7576 + 28.5389i −1.11496 + 1.03453i −0.115815 + 0.993271i \(0.536948\pi\)
−0.999148 + 0.0412640i \(0.986862\pi\)
\(762\) 41.3792 + 9.89286i 1.49901 + 0.358381i
\(763\) −4.08538 + 6.75514i −0.147901 + 0.244553i
\(764\) 7.62570 + 1.74052i 0.275888 + 0.0629696i
\(765\) −31.7528 + 4.12067i −1.14803 + 0.148983i
\(766\) 21.9480 12.6717i 0.793012 0.457846i
\(767\) 1.92327 2.07279i 0.0694453 0.0748443i
\(768\) 13.9214 + 0.143030i 0.502346 + 0.00516115i
\(769\) 0.782856 + 5.19391i 0.0282305 + 0.187297i 0.998502 0.0547238i \(-0.0174278\pi\)
−0.970271 + 0.242021i \(0.922190\pi\)
\(770\) −42.9196 30.5583i −1.54672 1.10124i
\(771\) 40.0775 + 27.9318i 1.44336 + 1.00594i
\(772\) 0.359246 1.57396i 0.0129296 0.0566481i