Properties

Label 177.2.f.a.83.7
Level $177$
Weight $2$
Character 177.83
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 83.7
Character \(\chi\) \(=\) 177.83
Dual form 177.2.f.a.32.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.239417 - 0.862302i) q^{2} +(1.27409 + 1.17333i) q^{3} +(1.02747 - 0.618208i) q^{4} +(-0.401260 + 0.0217557i) q^{5} +(0.706728 - 1.37956i) q^{6} +(-0.709262 - 4.32631i) q^{7} +(-2.07849 - 1.96885i) q^{8} +(0.246588 + 2.98985i) q^{9} +O(q^{10})\) \(q+(-0.239417 - 0.862302i) q^{2} +(1.27409 + 1.17333i) q^{3} +(1.02747 - 0.618208i) q^{4} +(-0.401260 + 0.0217557i) q^{5} +(0.706728 - 1.37956i) q^{6} +(-0.709262 - 4.32631i) q^{7} +(-2.07849 - 1.96885i) q^{8} +(0.246588 + 2.98985i) q^{9} +(0.114828 + 0.340799i) q^{10} +(1.91394 + 3.61008i) q^{11} +(2.03445 + 0.417912i) q^{12} +(4.37846 + 1.74454i) q^{13} +(-3.56077 + 1.64739i) q^{14} +(-0.536766 - 0.443092i) q^{15} +(-0.0767692 + 0.144802i) q^{16} +(-3.68543 - 0.604196i) q^{17} +(2.51911 - 0.928454i) q^{18} +(-1.96006 + 2.30756i) q^{19} +(-0.398833 + 0.270416i) q^{20} +(4.17253 - 6.34429i) q^{21} +(2.65475 - 2.51471i) q^{22} +(-1.95715 - 1.48779i) q^{23} +(-0.338061 - 4.94725i) q^{24} +(-4.81015 + 0.523136i) q^{25} +(0.456041 - 4.19322i) q^{26} +(-3.19391 + 4.09865i) q^{27} +(-3.40330 - 4.00668i) q^{28} +(6.32711 + 1.75671i) q^{29} +(-0.253568 + 0.568938i) q^{30} +(-4.82897 + 4.10176i) q^{31} +(-5.44880 - 1.19937i) q^{32} +(-1.79729 + 6.84525i) q^{33} +(0.361355 + 3.32261i) q^{34} +(0.378720 + 1.72054i) q^{35} +(2.10171 + 2.91954i) q^{36} +(-0.558828 - 0.589948i) q^{37} +(2.45909 + 1.13770i) q^{38} +(3.53161 + 7.36007i) q^{39} +(0.876851 + 0.744804i) q^{40} +(-1.47564 - 1.94117i) q^{41} +(-6.46966 - 2.07905i) q^{42} +(5.47199 + 2.90107i) q^{43} +(4.19830 + 2.52604i) q^{44} +(-0.163992 - 1.19434i) q^{45} +(-0.814348 + 2.04386i) q^{46} +(0.623338 - 11.4968i) q^{47} +(-0.267711 + 0.0944146i) q^{48} +(-11.5803 + 3.90186i) q^{49} +(1.60273 + 4.02256i) q^{50} +(-3.98663 - 5.09403i) q^{51} +(5.57722 - 0.914339i) q^{52} +(-3.45065 + 10.2412i) q^{53} +(4.29895 + 1.77283i) q^{54} +(-0.846530 - 1.40694i) q^{55} +(-7.04367 + 10.3886i) q^{56} +(-5.20482 + 0.640232i) q^{57} -5.87647i q^{58} +(-3.65696 - 6.75475i) q^{59} +(-0.825435 - 0.123431i) q^{60} +(-0.368107 + 0.102204i) q^{61} +(4.69309 + 3.18200i) q^{62} +(12.7601 - 3.18740i) q^{63} +(0.288061 + 5.31297i) q^{64} +(-1.79485 - 0.604757i) q^{65} +(6.33297 - 0.0890584i) q^{66} +(1.33302 - 1.40726i) q^{67} +(-4.16019 + 1.65757i) q^{68} +(-0.747911 - 4.19196i) q^{69} +(1.39296 - 0.738499i) q^{70} +(-3.68649 - 0.199876i) q^{71} +(5.37404 - 6.69988i) q^{72} +(2.95316 + 6.38314i) q^{73} +(-0.374920 + 0.623122i) q^{74} +(-6.74236 - 4.97738i) q^{75} +(-0.587351 + 3.58268i) q^{76} +(14.2608 - 10.8408i) q^{77} +(5.50107 - 4.80744i) q^{78} +(3.84649 + 5.67315i) q^{79} +(0.0276542 - 0.0597735i) q^{80} +(-8.87839 + 1.47452i) q^{81} +(-1.32058 + 1.73720i) q^{82} +(6.59516 - 1.45170i) q^{83} +(0.365061 - 9.09806i) q^{84} +(1.49196 + 0.162261i) q^{85} +(1.19151 - 5.41307i) q^{86} +(6.00008 + 9.66200i) q^{87} +(3.12960 - 11.2718i) q^{88} +(2.26060 - 8.14196i) q^{89} +(-0.990621 + 0.427357i) q^{90} +(4.44193 - 20.1799i) q^{91} +(-2.93068 - 0.318731i) q^{92} +(-10.9652 - 0.439982i) q^{93} +(-10.0630 + 2.21502i) q^{94} +(0.736292 - 0.968576i) q^{95} +(-5.53498 - 7.92135i) q^{96} +(0.983789 - 2.12642i) q^{97} +(6.13711 + 9.05155i) q^{98} +(-10.3216 + 6.61261i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{53}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.239417 0.862302i −0.169293 0.609740i −0.998694 0.0510857i \(-0.983732\pi\)
0.829401 0.558654i \(-0.188682\pi\)
\(3\) 1.27409 + 1.17333i 0.735594 + 0.677423i
\(4\) 1.02747 0.618208i 0.513735 0.309104i
\(5\) −0.401260 + 0.0217557i −0.179449 + 0.00972944i −0.143644 0.989629i \(-0.545882\pi\)
−0.0358046 + 0.999359i \(0.511399\pi\)
\(6\) 0.706728 1.37956i 0.288521 0.563204i
\(7\) −0.709262 4.32631i −0.268076 1.63519i −0.686636 0.727001i \(-0.740913\pi\)
0.418560 0.908189i \(-0.362535\pi\)
\(8\) −2.07849 1.96885i −0.734859 0.696095i
\(9\) 0.246588 + 2.98985i 0.0821960 + 0.996616i
\(10\) 0.114828 + 0.340799i 0.0363119 + 0.107770i
\(11\) 1.91394 + 3.61008i 0.577076 + 1.08848i 0.984524 + 0.175252i \(0.0560741\pi\)
−0.407447 + 0.913229i \(0.633581\pi\)
\(12\) 2.03445 + 0.417912i 0.587295 + 0.120641i
\(13\) 4.37846 + 1.74454i 1.21437 + 0.483847i 0.887317 0.461160i \(-0.152567\pi\)
0.327049 + 0.945008i \(0.393946\pi\)
\(14\) −3.56077 + 1.64739i −0.951657 + 0.440283i
\(15\) −0.536766 0.443092i −0.138592 0.114406i
\(16\) −0.0767692 + 0.144802i −0.0191923 + 0.0362005i
\(17\) −3.68543 0.604196i −0.893848 0.146539i −0.302685 0.953091i \(-0.597883\pi\)
−0.591163 + 0.806552i \(0.701331\pi\)
\(18\) 2.51911 0.928454i 0.593761 0.218839i
\(19\) −1.96006 + 2.30756i −0.449669 + 0.529391i −0.939556 0.342394i \(-0.888762\pi\)
0.489887 + 0.871786i \(0.337038\pi\)
\(20\) −0.398833 + 0.270416i −0.0891818 + 0.0604668i
\(21\) 4.17253 6.34429i 0.910521 1.38444i
\(22\) 2.65475 2.51471i 0.565995 0.536139i
\(23\) −1.95715 1.48779i −0.408095 0.310226i 0.380911 0.924612i \(-0.375611\pi\)
−0.789005 + 0.614386i \(0.789404\pi\)
\(24\) −0.338061 4.94725i −0.0690065 1.00985i
\(25\) −4.81015 + 0.523136i −0.962031 + 0.104627i
\(26\) 0.456041 4.19322i 0.0894369 0.822359i
\(27\) −3.19391 + 4.09865i −0.614668 + 0.788786i
\(28\) −3.40330 4.00668i −0.643164 0.757191i
\(29\) 6.32711 + 1.75671i 1.17492 + 0.326214i 0.799513 0.600648i \(-0.205091\pi\)
0.375402 + 0.926862i \(0.377505\pi\)
\(30\) −0.253568 + 0.568938i −0.0462951 + 0.103873i
\(31\) −4.82897 + 4.10176i −0.867308 + 0.736698i −0.966034 0.258417i \(-0.916799\pi\)
0.0987258 + 0.995115i \(0.468523\pi\)
\(32\) −5.44880 1.19937i −0.963222 0.212021i
\(33\) −1.79729 + 6.84525i −0.312869 + 1.19160i
\(34\) 0.361355 + 3.32261i 0.0619720 + 0.569823i
\(35\) 0.378720 + 1.72054i 0.0640154 + 0.290825i
\(36\) 2.10171 + 2.91954i 0.350285 + 0.486590i
\(37\) −0.558828 0.589948i −0.0918708 0.0969868i 0.678439 0.734657i \(-0.262657\pi\)
−0.770310 + 0.637670i \(0.779898\pi\)
\(38\) 2.45909 + 1.13770i 0.398917 + 0.184559i
\(39\) 3.53161 + 7.36007i 0.565510 + 1.17855i
\(40\) 0.876851 + 0.744804i 0.138642 + 0.117764i
\(41\) −1.47564 1.94117i −0.230457 0.303160i 0.666301 0.745683i \(-0.267877\pi\)
−0.896757 + 0.442523i \(0.854084\pi\)
\(42\) −6.46966 2.07905i −0.998291 0.320805i
\(43\) 5.47199 + 2.90107i 0.834471 + 0.442409i 0.830122 0.557582i \(-0.188271\pi\)
0.00434920 + 0.999991i \(0.498616\pi\)
\(44\) 4.19830 + 2.52604i 0.632918 + 0.380814i
\(45\) −0.163992 1.19434i −0.0244465 0.178042i
\(46\) −0.814348 + 2.04386i −0.120069 + 0.301351i
\(47\) 0.623338 11.4968i 0.0909233 1.67698i −0.496759 0.867889i \(-0.665477\pi\)
0.587682 0.809092i \(-0.300041\pi\)
\(48\) −0.267711 + 0.0944146i −0.0386408 + 0.0136276i
\(49\) −11.5803 + 3.90186i −1.65433 + 0.557409i
\(50\) 1.60273 + 4.02256i 0.226661 + 0.568875i
\(51\) −3.98663 5.09403i −0.558240 0.713307i
\(52\) 5.57722 0.914339i 0.773421 0.126796i
\(53\) −3.45065 + 10.2412i −0.473984 + 1.40673i 0.398084 + 0.917349i \(0.369675\pi\)
−0.872068 + 0.489385i \(0.837221\pi\)
\(54\) 4.29895 + 1.77283i 0.585013 + 0.241251i
\(55\) −0.846530 1.40694i −0.114146 0.189712i
\(56\) −7.04367 + 10.3886i −0.941250 + 1.38824i
\(57\) −5.20482 + 0.640232i −0.689396 + 0.0848007i
\(58\) 5.87647i 0.771618i
\(59\) −3.65696 6.75475i −0.476096 0.879393i
\(60\) −0.825435 0.123431i −0.106563 0.0159348i
\(61\) −0.368107 + 0.102204i −0.0471312 + 0.0130859i −0.291014 0.956719i \(-0.593993\pi\)
0.243883 + 0.969805i \(0.421579\pi\)
\(62\) 4.69309 + 3.18200i 0.596023 + 0.404114i
\(63\) 12.7601 3.18740i 1.60762 0.401575i
\(64\) 0.288061 + 5.31297i 0.0360076 + 0.664121i
\(65\) −1.79485 0.604757i −0.222624 0.0750108i
\(66\) 6.33297 0.0890584i 0.779535 0.0109623i
\(67\) 1.33302 1.40726i 0.162855 0.171924i −0.639461 0.768824i \(-0.720842\pi\)
0.802316 + 0.596900i \(0.203601\pi\)
\(68\) −4.16019 + 1.65757i −0.504497 + 0.201010i
\(69\) −0.747911 4.19196i −0.0900380 0.504653i
\(70\) 1.39296 0.738499i 0.166490 0.0882675i
\(71\) −3.68649 0.199876i −0.437506 0.0237209i −0.165929 0.986138i \(-0.553062\pi\)
−0.271577 + 0.962417i \(0.587545\pi\)
\(72\) 5.37404 6.69988i 0.633337 0.789588i
\(73\) 2.95316 + 6.38314i 0.345641 + 0.747091i 0.999958 0.00912942i \(-0.00290603\pi\)
−0.654317 + 0.756220i \(0.727044\pi\)
\(74\) −0.374920 + 0.623122i −0.0435836 + 0.0724365i
\(75\) −6.74236 4.97738i −0.778540 0.574739i
\(76\) −0.587351 + 3.58268i −0.0673737 + 0.410962i
\(77\) 14.2608 10.8408i 1.62517 1.23542i
\(78\) 5.50107 4.80744i 0.622874 0.544335i
\(79\) 3.84649 + 5.67315i 0.432764 + 0.638279i 0.980070 0.198654i \(-0.0636569\pi\)
−0.547306 + 0.836933i \(0.684347\pi\)
\(80\) 0.0276542 0.0597735i 0.00309183 0.00668288i
\(81\) −8.87839 + 1.47452i −0.986488 + 0.163836i
\(82\) −1.32058 + 1.73720i −0.145834 + 0.191842i
\(83\) 6.59516 1.45170i 0.723912 0.159345i 0.162295 0.986742i \(-0.448110\pi\)
0.561617 + 0.827397i \(0.310179\pi\)
\(84\) 0.365061 9.09806i 0.0398314 0.992679i
\(85\) 1.49196 + 0.162261i 0.161826 + 0.0175996i
\(86\) 1.19151 5.41307i 0.128484 0.583707i
\(87\) 6.00008 + 9.66200i 0.643276 + 1.03588i
\(88\) 3.12960 11.2718i 0.333617 1.20158i
\(89\) 2.26060 8.14196i 0.239624 0.863046i −0.741708 0.670723i \(-0.765984\pi\)
0.981332 0.192323i \(-0.0616022\pi\)
\(90\) −0.990621 + 0.427357i −0.104421 + 0.0450473i
\(91\) 4.44193 20.1799i 0.465641 2.11543i
\(92\) −2.93068 0.318731i −0.305545 0.0332300i
\(93\) −10.9652 0.439982i −1.13704 0.0456240i
\(94\) −10.0630 + 2.21502i −1.03791 + 0.228462i
\(95\) 0.736292 0.968576i 0.0755420 0.0993738i
\(96\) −5.53498 7.92135i −0.564912 0.808470i
\(97\) 0.983789 2.12642i 0.0998886 0.215906i −0.851188 0.524861i \(-0.824117\pi\)
0.951077 + 0.308955i \(0.0999794\pi\)
\(98\) 6.13711 + 9.05155i 0.619941 + 0.914345i
\(99\) −10.3216 + 6.61261i −1.03736 + 0.664592i
\(100\) −4.61888 + 3.51118i −0.461888 + 0.351118i
\(101\) −0.706303 + 4.30826i −0.0702797 + 0.428687i 0.928127 + 0.372263i \(0.121418\pi\)
−0.998407 + 0.0564241i \(0.982030\pi\)
\(102\) −3.43812 + 4.65728i −0.340425 + 0.461139i
\(103\) 9.51238 15.8097i 0.937282 1.55778i 0.111516 0.993763i \(-0.464429\pi\)
0.825766 0.564013i \(-0.190743\pi\)
\(104\) −5.66586 12.2466i −0.555583 1.20087i
\(105\) −1.53625 + 2.63648i −0.149922 + 0.257295i
\(106\) 9.65713 + 0.523595i 0.937984 + 0.0508560i
\(107\) 10.4281 5.52864i 1.00813 0.534474i 0.119367 0.992850i \(-0.461914\pi\)
0.888758 + 0.458376i \(0.151569\pi\)
\(108\) −0.747824 + 6.18574i −0.0719594 + 0.595223i
\(109\) 8.97898 3.57755i 0.860030 0.342667i 0.101919 0.994793i \(-0.467502\pi\)
0.758111 + 0.652125i \(0.226122\pi\)
\(110\) −1.01054 + 1.06681i −0.0963509 + 0.101716i
\(111\) −0.0197909 1.40733i −0.00187847 0.133578i
\(112\) 0.680908 + 0.229425i 0.0643398 + 0.0216786i
\(113\) 0.382834 + 7.06096i 0.0360140 + 0.664239i 0.959689 + 0.281063i \(0.0906870\pi\)
−0.923675 + 0.383176i \(0.874830\pi\)
\(114\) 1.79820 + 4.33485i 0.168416 + 0.405996i
\(115\) 0.817696 + 0.554411i 0.0762505 + 0.0516991i
\(116\) 7.58694 2.10650i 0.704429 0.195584i
\(117\) −4.13623 + 13.5211i −0.382394 + 1.25003i
\(118\) −4.94909 + 4.77061i −0.455601 + 0.439170i
\(119\) 16.3728i 1.50090i
\(120\) 0.243281 + 1.97778i 0.0222085 + 0.180546i
\(121\) −3.19646 + 4.71442i −0.290587 + 0.428584i
\(122\) 0.176262 + 0.292950i 0.0159580 + 0.0265224i
\(123\) 0.397546 4.20464i 0.0358455 0.379119i
\(124\) −2.42588 + 7.19974i −0.217850 + 0.646556i
\(125\) 3.90152 0.639622i 0.348963 0.0572095i
\(126\) −5.80349 10.2399i −0.517016 0.912247i
\(127\) −0.413381 1.03751i −0.0366817 0.0920640i 0.909495 0.415715i \(-0.136469\pi\)
−0.946176 + 0.323651i \(0.895089\pi\)
\(128\) −6.06196 + 2.04251i −0.535806 + 0.180534i
\(129\) 3.56787 + 10.1167i 0.314134 + 0.890723i
\(130\) −0.0917644 + 1.69249i −0.00804827 + 0.148442i
\(131\) 2.66565 6.69027i 0.232899 0.584532i −0.765355 0.643609i \(-0.777436\pi\)
0.998253 + 0.0590771i \(0.0188158\pi\)
\(132\) 2.38512 + 8.14439i 0.207598 + 0.708878i
\(133\) 11.3734 + 6.84317i 0.986201 + 0.593378i
\(134\) −1.53263 0.812548i −0.132399 0.0701934i
\(135\) 1.19242 1.71411i 0.102627 0.147527i
\(136\) 6.47057 + 8.51189i 0.554847 + 0.729889i
\(137\) −0.323555 0.274830i −0.0276432 0.0234803i 0.633458 0.773777i \(-0.281635\pi\)
−0.661101 + 0.750297i \(0.729911\pi\)
\(138\) −3.43567 + 1.64855i −0.292464 + 0.140334i
\(139\) −19.4528 8.99983i −1.64997 0.763355i −0.999994 0.00339669i \(-0.998919\pi\)
−0.649971 0.759959i \(-0.725219\pi\)
\(140\) 1.45278 + 1.53368i 0.122782 + 0.129620i
\(141\) 14.2837 13.9165i 1.20291 1.17198i
\(142\) 0.710256 + 3.22673i 0.0596034 + 0.270781i
\(143\) 2.08220 + 19.1455i 0.174123 + 1.60103i
\(144\) −0.451867 0.193822i −0.0376556 0.0161518i
\(145\) −2.57704 0.567249i −0.214011 0.0471074i
\(146\) 4.79716 4.07475i 0.397016 0.337228i
\(147\) −19.3325 8.61624i −1.59452 0.710655i
\(148\) −0.938890 0.260682i −0.0771763 0.0214279i
\(149\) 10.6252 + 12.5089i 0.870446 + 1.02477i 0.999451 + 0.0331247i \(0.0105459\pi\)
−0.129005 + 0.991644i \(0.541178\pi\)
\(150\) −2.67777 + 7.00562i −0.218639 + 0.572006i
\(151\) 1.63705 15.0524i 0.133221 1.22495i −0.716451 0.697638i \(-0.754234\pi\)
0.849672 0.527312i \(-0.176800\pi\)
\(152\) 8.61724 0.937181i 0.698950 0.0760154i
\(153\) 0.897670 11.1679i 0.0725723 0.902869i
\(154\) −12.7623 9.70168i −1.02842 0.781783i
\(155\) 1.84843 1.75093i 0.148470 0.140638i
\(156\) 8.17868 + 5.37898i 0.654818 + 0.430663i
\(157\) −14.9981 + 10.1690i −1.19698 + 0.811573i −0.986135 0.165946i \(-0.946932\pi\)
−0.210846 + 0.977519i \(0.567622\pi\)
\(158\) 3.97105 4.67508i 0.315920 0.371930i
\(159\) −16.4127 + 8.99938i −1.30161 + 0.713697i
\(160\) 2.21248 + 0.362718i 0.174912 + 0.0286754i
\(161\) −5.04850 + 9.52248i −0.397878 + 0.750477i
\(162\) 3.39712 + 7.30283i 0.266903 + 0.573764i
\(163\) −9.25027 + 4.27963i −0.724537 + 0.335207i −0.747257 0.664535i \(-0.768630\pi\)
0.0227197 + 0.999742i \(0.492767\pi\)
\(164\) −2.71623 1.08224i −0.212102 0.0845091i
\(165\) 0.572259 2.78583i 0.0445503 0.216876i
\(166\) −2.83080 5.33945i −0.219713 0.414422i
\(167\) −7.47205 22.1763i −0.578205 1.71605i −0.691394 0.722478i \(-0.743003\pi\)
0.113189 0.993573i \(-0.463893\pi\)
\(168\) −21.1636 + 4.97146i −1.63280 + 0.383556i
\(169\) 6.68954 + 6.33667i 0.514580 + 0.487436i
\(170\) −0.217283 1.32537i −0.0166649 0.101651i
\(171\) −7.38259 5.29127i −0.564561 0.404634i
\(172\) 7.41577 0.402072i 0.565447 0.0306577i
\(173\) −3.14130 + 1.89006i −0.238829 + 0.143699i −0.629937 0.776646i \(-0.716919\pi\)
0.391108 + 0.920345i \(0.372092\pi\)
\(174\) 6.89505 7.48713i 0.522712 0.567598i
\(175\) 5.67491 + 20.4392i 0.428983 + 1.54506i
\(176\) −0.669680 −0.0504790
\(177\) 3.26627 12.8970i 0.245508 0.969395i
\(178\) −7.56205 −0.566800
\(179\) 2.76303 + 9.95152i 0.206518 + 0.743812i 0.992143 + 0.125109i \(0.0399279\pi\)
−0.785625 + 0.618703i \(0.787658\pi\)
\(180\) −0.906849 1.12577i −0.0675926 0.0839099i
\(181\) −5.01432 + 3.01702i −0.372712 + 0.224253i −0.689569 0.724220i \(-0.742200\pi\)
0.316857 + 0.948473i \(0.397372\pi\)
\(182\) −18.4646 + 1.00112i −1.36869 + 0.0742082i
\(183\) −0.588919 0.301694i −0.0435341 0.0223019i
\(184\) 1.13869 + 6.94571i 0.0839455 + 0.512045i
\(185\) 0.237070 + 0.224565i 0.0174298 + 0.0165103i
\(186\) 2.24587 + 9.56068i 0.164675 + 0.701023i
\(187\) −4.87251 14.4611i −0.356314 1.05750i
\(188\) −6.46696 12.1980i −0.471651 0.889629i
\(189\) 19.9973 + 10.9108i 1.45459 + 0.793645i
\(190\) −1.01149 0.403013i −0.0733809 0.0292376i
\(191\) 12.1209 5.60775i 0.877041 0.405762i 0.0708984 0.997484i \(-0.477413\pi\)
0.806143 + 0.591721i \(0.201551\pi\)
\(192\) −5.86686 + 7.10717i −0.423404 + 0.512916i
\(193\) 9.99036 18.8438i 0.719122 1.35641i −0.206684 0.978408i \(-0.566267\pi\)
0.925806 0.378000i \(-0.123388\pi\)
\(194\) −2.06916 0.339221i −0.148557 0.0243546i
\(195\) −1.57722 2.87647i −0.112947 0.205988i
\(196\) −9.48626 + 11.1681i −0.677590 + 0.797721i
\(197\) 1.46039 0.990170i 0.104049 0.0705467i −0.508053 0.861326i \(-0.669635\pi\)
0.612102 + 0.790779i \(0.290324\pi\)
\(198\) 8.17324 + 7.31720i 0.580847 + 0.520011i
\(199\) −0.670805 + 0.635421i −0.0475521 + 0.0450438i −0.711107 0.703084i \(-0.751806\pi\)
0.663555 + 0.748128i \(0.269047\pi\)
\(200\) 11.0279 + 8.38316i 0.779787 + 0.592779i
\(201\) 3.34956 0.228886i 0.236260 0.0161444i
\(202\) 3.88412 0.422423i 0.273286 0.0297216i
\(203\) 3.11251 28.6190i 0.218455 2.00866i
\(204\) −7.24532 2.76939i −0.507274 0.193896i
\(205\) 0.634348 + 0.746812i 0.0443048 + 0.0521596i
\(206\) −15.9102 4.41743i −1.10851 0.307777i
\(207\) 3.96565 6.21846i 0.275632 0.432213i
\(208\) −0.588743 + 0.500083i −0.0408220 + 0.0346745i
\(209\) −12.0819 2.65944i −0.835726 0.183957i
\(210\) 2.64125 + 0.693489i 0.182264 + 0.0478553i
\(211\) −0.480835 4.42121i −0.0331021 0.304368i −0.998972 0.0453396i \(-0.985563\pi\)
0.965870 0.259029i \(-0.0834025\pi\)
\(212\) 2.78574 + 12.6557i 0.191325 + 0.869199i
\(213\) −4.46239 4.58014i −0.305758 0.313826i
\(214\) −7.26403 7.66854i −0.496559 0.524211i
\(215\) −2.25881 1.04504i −0.154049 0.0712708i
\(216\) 14.7082 2.23069i 1.00076 0.151779i
\(217\) 21.1705 + 17.9824i 1.43715 + 1.22072i
\(218\) −5.23465 6.88606i −0.354535 0.466383i
\(219\) −3.72697 + 11.5977i −0.251845 + 0.783700i
\(220\) −1.73957 0.922261i −0.117282 0.0621788i
\(221\) −15.0825 9.07481i −1.01456 0.610438i
\(222\) −1.20881 + 0.354006i −0.0811300 + 0.0237593i
\(223\) −0.516043 + 1.29517i −0.0345568 + 0.0867311i −0.945242 0.326369i \(-0.894175\pi\)
0.910686 + 0.413100i \(0.135554\pi\)
\(224\) −1.32422 + 24.4239i −0.0884784 + 1.63189i
\(225\) −2.75022 14.2526i −0.183348 0.950175i
\(226\) 5.99702 2.02063i 0.398916 0.134410i
\(227\) 8.40425 + 21.0931i 0.557810 + 1.40000i 0.889642 + 0.456659i \(0.150954\pi\)
−0.331832 + 0.943338i \(0.607667\pi\)
\(228\) −4.95200 + 3.87548i −0.327955 + 0.256660i
\(229\) 12.8491 2.10650i 0.849091 0.139201i 0.278501 0.960436i \(-0.410163\pi\)
0.570591 + 0.821235i \(0.306714\pi\)
\(230\) 0.282300 0.837836i 0.0186143 0.0552453i
\(231\) 30.8894 + 2.92057i 2.03237 + 0.192159i
\(232\) −9.69216 16.1085i −0.636321 1.05757i
\(233\) 5.45453 8.04483i 0.357338 0.527034i −0.605951 0.795502i \(-0.707207\pi\)
0.963289 + 0.268468i \(0.0865174\pi\)
\(234\) 12.6496 + 0.329493i 0.826927 + 0.0215396i
\(235\) 4.62677i 0.301817i
\(236\) −7.93326 4.67954i −0.516411 0.304612i
\(237\) −1.75572 + 11.7413i −0.114046 + 0.762678i
\(238\) 14.1183 3.91994i 0.915156 0.254092i
\(239\) −17.8623 12.1110i −1.15542 0.783393i −0.175833 0.984420i \(-0.556262\pi\)
−0.979586 + 0.201027i \(0.935572\pi\)
\(240\) 0.105368 0.0437091i 0.00680147 0.00282141i
\(241\) 0.963650 + 17.7735i 0.0620742 + 1.14489i 0.849191 + 0.528086i \(0.177090\pi\)
−0.787116 + 0.616804i \(0.788427\pi\)
\(242\) 4.83054 + 1.62760i 0.310519 + 0.104626i
\(243\) −13.0419 8.53862i −0.836640 0.547753i
\(244\) −0.315035 + 0.332578i −0.0201681 + 0.0212912i
\(245\) 4.56183 1.81760i 0.291445 0.116122i
\(246\) −3.72085 + 0.663857i −0.237233 + 0.0423260i
\(247\) −12.6077 + 6.68417i −0.802207 + 0.425303i
\(248\) 18.1127 + 0.982045i 1.15016 + 0.0623599i
\(249\) 10.1061 + 5.88871i 0.640449 + 0.373182i
\(250\) −1.48564 3.21115i −0.0939599 0.203091i
\(251\) −14.3511 + 23.8517i −0.905833 + 1.50551i −0.0435660 + 0.999051i \(0.513872\pi\)
−0.862267 + 0.506455i \(0.830956\pi\)
\(252\) 11.1402 11.1634i 0.701764 0.703226i
\(253\) 1.62516 9.91303i 0.102173 0.623227i
\(254\) −0.795676 + 0.604857i −0.0499251 + 0.0379521i
\(255\) 1.71050 + 1.95730i 0.107116 + 0.122571i
\(256\) 9.18450 + 13.5461i 0.574031 + 0.846632i
\(257\) −0.944399 + 2.04128i −0.0589100 + 0.127332i −0.934795 0.355189i \(-0.884417\pi\)
0.875885 + 0.482521i \(0.160279\pi\)
\(258\) 7.86941 5.49869i 0.489928 0.342333i
\(259\) −2.15594 + 2.83609i −0.133964 + 0.176226i
\(260\) −2.21802 + 0.488224i −0.137556 + 0.0302784i
\(261\) −3.69212 + 19.3503i −0.228536 + 1.19775i
\(262\) −6.40723 0.696829i −0.395840 0.0430502i
\(263\) 3.70499 16.8320i 0.228460 1.03790i −0.713102 0.701061i \(-0.752710\pi\)
0.941561 0.336842i \(-0.109359\pi\)
\(264\) 17.2130 10.6892i 1.05938 0.657875i
\(265\) 1.16181 4.18445i 0.0713692 0.257049i
\(266\) 3.17788 11.4457i 0.194849 0.701781i
\(267\) 12.4334 7.72112i 0.760913 0.472525i
\(268\) 0.499665 2.27000i 0.0305219 0.138662i
\(269\) −3.51145 0.381893i −0.214097 0.0232844i 0.000441957 1.00000i \(-0.499859\pi\)
−0.214539 + 0.976715i \(0.568825\pi\)
\(270\) −1.76357 0.617838i −0.107327 0.0376004i
\(271\) −8.25970 + 1.81810i −0.501741 + 0.110442i −0.458628 0.888629i \(-0.651659\pi\)
−0.0431136 + 0.999070i \(0.513728\pi\)
\(272\) 0.370417 0.487275i 0.0224598 0.0295454i
\(273\) 29.3371 20.4990i 1.77556 1.24066i
\(274\) −0.159522 + 0.344801i −0.00963708 + 0.0208302i
\(275\) −11.0949 16.3638i −0.669050 0.986774i
\(276\) −3.35996 3.84475i −0.202246 0.231427i
\(277\) −13.0396 + 9.91245i −0.783474 + 0.595582i −0.918573 0.395250i \(-0.870658\pi\)
0.135099 + 0.990832i \(0.456865\pi\)
\(278\) −3.10324 + 18.9289i −0.186120 + 1.13528i
\(279\) −13.4544 13.4264i −0.805494 0.803819i
\(280\) 2.60033 4.32179i 0.155400 0.258276i
\(281\) 10.6815 + 23.0877i 0.637207 + 1.37730i 0.909750 + 0.415156i \(0.136273\pi\)
−0.272544 + 0.962143i \(0.587865\pi\)
\(282\) −15.4200 8.98505i −0.918249 0.535052i
\(283\) 11.9269 + 0.646658i 0.708981 + 0.0384398i 0.405103 0.914271i \(-0.367236\pi\)
0.303878 + 0.952711i \(0.401718\pi\)
\(284\) −3.91133 + 2.07365i −0.232095 + 0.123049i
\(285\) 2.07456 0.370134i 0.122886 0.0219248i
\(286\) 16.0107 6.37926i 0.946734 0.377213i
\(287\) −7.35150 + 7.76088i −0.433945 + 0.458110i
\(288\) 2.24233 16.5868i 0.132131 0.977389i
\(289\) −2.89276 0.974684i −0.170162 0.0573343i
\(290\) 0.127847 + 2.35799i 0.00750741 + 0.138466i
\(291\) 3.74843 1.55494i 0.219737 0.0911520i
\(292\) 6.98039 + 4.73282i 0.408497 + 0.276968i
\(293\) −7.86450 + 2.18357i −0.459449 + 0.127565i −0.489538 0.871982i \(-0.662835\pi\)
0.0300893 + 0.999547i \(0.490421\pi\)
\(294\) −2.80127 + 18.7333i −0.163374 + 1.09255i
\(295\) 1.61435 + 2.63085i 0.0939910 + 0.153174i
\(296\) 2.32646i 0.135222i
\(297\) −20.9094 3.68568i −1.21329 0.213865i
\(298\) 8.24260 12.1569i 0.477481 0.704232i
\(299\) −5.97381 9.92855i −0.345474 0.574183i
\(300\) −10.0046 0.945931i −0.577618 0.0546133i
\(301\) 8.66983 25.7311i 0.499721 1.48312i
\(302\) −13.3717 + 2.19218i −0.769454 + 0.126146i
\(303\) −5.95490 + 4.66036i −0.342100 + 0.267731i
\(304\) −0.183668 0.460971i −0.0105341 0.0264385i
\(305\) 0.145483 0.0490189i 0.00833033 0.00280682i
\(306\) −9.84499 + 1.89971i −0.562801 + 0.108599i
\(307\) 1.39589 25.7456i 0.0796675 1.46938i −0.636405 0.771355i \(-0.719579\pi\)
0.716072 0.698026i \(-0.245938\pi\)
\(308\) 7.95071 19.9548i 0.453034 1.13703i
\(309\) 30.6696 8.98173i 1.74473 0.510953i
\(310\) −1.95238 1.17471i −0.110888 0.0667188i
\(311\) 9.06484 + 4.80587i 0.514020 + 0.272516i 0.705162 0.709046i \(-0.250874\pi\)
−0.191142 + 0.981562i \(0.561219\pi\)
\(312\) 7.15047 22.2511i 0.404816 1.25972i
\(313\) −4.15034 5.45968i −0.234591 0.308599i 0.663701 0.747998i \(-0.268985\pi\)
−0.898292 + 0.439399i \(0.855192\pi\)
\(314\) 12.3595 + 10.4983i 0.697489 + 0.592452i
\(315\) −5.05078 + 1.55658i −0.284579 + 0.0877035i
\(316\) 7.45934 + 3.45106i 0.419621 + 0.194137i
\(317\) 9.99625 + 10.5529i 0.561445 + 0.592710i 0.943477 0.331439i \(-0.107534\pi\)
−0.382032 + 0.924149i \(0.624775\pi\)
\(318\) 11.6897 + 11.9981i 0.655524 + 0.672821i
\(319\) 5.76786 + 26.2037i 0.322938 + 1.46712i
\(320\) −0.231175 2.12562i −0.0129231 0.118826i
\(321\) 19.7733 + 5.19168i 1.10364 + 0.289771i
\(322\) 9.41995 + 2.07349i 0.524953 + 0.115551i
\(323\) 8.61789 7.32011i 0.479512 0.407302i
\(324\) −8.21072 + 7.00372i −0.456151 + 0.389096i
\(325\) −21.9737 6.10096i −1.21888 0.338420i
\(326\) 5.90501 + 6.95191i 0.327048 + 0.385031i
\(327\) 15.6376 + 5.97721i 0.864764 + 0.330540i
\(328\) −0.754775 + 6.94004i −0.0416755 + 0.383200i
\(329\) −50.1808 + 5.45749i −2.76656 + 0.300881i
\(330\) −2.53923 + 0.173514i −0.139780 + 0.00955162i
\(331\) 13.3604 + 10.1563i 0.734354 + 0.558242i 0.904138 0.427240i \(-0.140514\pi\)
−0.169784 + 0.985481i \(0.554307\pi\)
\(332\) 5.87887 5.56876i 0.322645 0.305626i
\(333\) 1.62605 1.81629i 0.0891072 0.0995319i
\(334\) −17.3337 + 11.7525i −0.948458 + 0.643070i
\(335\) −0.504273 + 0.593676i −0.0275514 + 0.0324360i
\(336\) 0.598344 + 1.09124i 0.0326423 + 0.0595319i
\(337\) −14.2584 2.33755i −0.776706 0.127335i −0.239626 0.970865i \(-0.577025\pi\)
−0.537081 + 0.843531i \(0.680473\pi\)
\(338\) 3.86253 7.28551i 0.210094 0.396279i
\(339\) −7.79708 + 9.44546i −0.423479 + 0.513007i
\(340\) 1.63326 0.755625i 0.0885758 0.0409795i
\(341\) −24.0501 9.58242i −1.30238 0.518917i
\(342\) −2.79516 + 7.63285i −0.151145 + 0.412737i
\(343\) 10.7194 + 20.2190i 0.578794 + 1.09172i
\(344\) −5.66173 16.8034i −0.305260 0.905979i
\(345\) 0.391306 + 1.66580i 0.0210672 + 0.0896834i
\(346\) 2.38188 + 2.25624i 0.128051 + 0.121296i
\(347\) −0.830120 5.06351i −0.0445632 0.271823i 0.955141 0.296152i \(-0.0957035\pi\)
−0.999704 + 0.0243286i \(0.992255\pi\)
\(348\) 12.1380 + 6.21812i 0.650667 + 0.333326i
\(349\) −15.4756 + 0.839064i −0.828392 + 0.0449141i −0.463457 0.886119i \(-0.653391\pi\)
−0.364934 + 0.931033i \(0.618909\pi\)
\(350\) 16.2661 9.78696i 0.869458 0.523135i
\(351\) −21.1346 + 12.3739i −1.12808 + 0.660469i
\(352\) −6.09888 21.9662i −0.325071 1.17080i
\(353\) −27.0313 −1.43873 −0.719367 0.694630i \(-0.755568\pi\)
−0.719367 + 0.694630i \(0.755568\pi\)
\(354\) −11.9031 + 0.271237i −0.632641 + 0.0144161i
\(355\) 1.48359 0.0787409
\(356\) −2.71072 9.76314i −0.143668 0.517446i
\(357\) −19.2108 + 20.8604i −1.01674 + 1.10405i
\(358\) 7.91970 4.76513i 0.418569 0.251845i
\(359\) 12.4797 0.676627i 0.658651 0.0357110i 0.278216 0.960519i \(-0.410257\pi\)
0.380435 + 0.924808i \(0.375774\pi\)
\(360\) −2.01063 + 2.80531i −0.105969 + 0.147853i
\(361\) 1.59085 + 9.70377i 0.0837290 + 0.510725i
\(362\) 3.80210 + 3.60154i 0.199834 + 0.189293i
\(363\) −9.60414 + 2.25607i −0.504087 + 0.118413i
\(364\) −7.91142 23.4803i −0.414671 1.23070i
\(365\) −1.32385 2.49705i −0.0692937 0.130702i
\(366\) −0.119154 + 0.580057i −0.00622829 + 0.0303200i
\(367\) 2.20541 + 0.878718i 0.115122 + 0.0458687i 0.426988 0.904257i \(-0.359575\pi\)
−0.311866 + 0.950126i \(0.600954\pi\)
\(368\) 0.365684 0.169184i 0.0190626 0.00881930i
\(369\) 5.43994 4.89062i 0.283192 0.254595i
\(370\) 0.136884 0.258191i 0.00711627 0.0134227i
\(371\) 46.7539 + 7.66491i 2.42734 + 0.397943i
\(372\) −11.5385 + 6.32673i −0.598241 + 0.328026i
\(373\) −13.4750 + 15.8640i −0.697710 + 0.821407i −0.990893 0.134649i \(-0.957009\pi\)
0.293184 + 0.956056i \(0.405285\pi\)
\(374\) −11.3033 + 7.66381i −0.584479 + 0.396286i
\(375\) 5.72136 + 3.76284i 0.295450 + 0.194312i
\(376\) −23.9311 + 22.6688i −1.23415 + 1.16905i
\(377\) 24.6383 + 18.7296i 1.26894 + 0.964623i
\(378\) 4.62071 19.8560i 0.237664 1.02128i
\(379\) 12.7271 1.38415i 0.653745 0.0710991i 0.224765 0.974413i \(-0.427839\pi\)
0.428980 + 0.903314i \(0.358873\pi\)
\(380\) 0.157737 1.45036i 0.00809172 0.0744021i
\(381\) 0.690658 1.80691i 0.0353835 0.0925707i
\(382\) −7.73753 9.10933i −0.395887 0.466074i
\(383\) −24.9326 6.92250i −1.27400 0.353723i −0.436270 0.899816i \(-0.643701\pi\)
−0.837725 + 0.546093i \(0.816115\pi\)
\(384\) −10.1200 4.51035i −0.516434 0.230168i
\(385\) −5.48646 + 4.66024i −0.279616 + 0.237508i
\(386\) −18.6409 4.10318i −0.948798 0.208846i
\(387\) −7.32442 + 17.0758i −0.372321 + 0.868012i
\(388\) −0.303760 2.79302i −0.0154211 0.141794i
\(389\) 0.714735 + 3.24707i 0.0362385 + 0.164633i 0.991265 0.131889i \(-0.0421042\pi\)
−0.955026 + 0.296522i \(0.904173\pi\)
\(390\) −2.10277 + 2.04871i −0.106478 + 0.103741i
\(391\) 6.31404 + 6.66565i 0.319315 + 0.337096i
\(392\) 31.7518 + 14.6900i 1.60371 + 0.741955i
\(393\) 11.2462 5.39629i 0.567294 0.272207i
\(394\) −1.20347 1.02223i −0.0606298 0.0514994i
\(395\) −1.66687 2.19272i −0.0838691 0.110328i
\(396\) −6.51721 + 13.1752i −0.327502 + 0.662078i
\(397\) 3.98189 + 2.11107i 0.199846 + 0.105951i 0.565326 0.824868i \(-0.308750\pi\)
−0.365480 + 0.930819i \(0.619095\pi\)
\(398\) 0.708527 + 0.426306i 0.0355152 + 0.0213688i
\(399\) 6.46142 + 22.0636i 0.323476 + 1.10456i
\(400\) 0.293521 0.736681i 0.0146760 0.0368341i
\(401\) 0.117942 2.17531i 0.00588974 0.108630i −0.994110 0.108374i \(-0.965436\pi\)
1.00000 0.000256194i \(-8.15490e-5\pi\)
\(402\) −0.999311 2.83354i −0.0498411 0.141324i
\(403\) −28.2991 + 9.53507i −1.40968 + 0.474976i
\(404\) 1.93769 + 4.86325i 0.0964039 + 0.241956i
\(405\) 3.53046 0.784822i 0.175430 0.0389981i
\(406\) −25.4234 + 4.16796i −1.26174 + 0.206852i
\(407\) 1.06019 3.14654i 0.0525519 0.155968i
\(408\) −1.74321 + 18.4370i −0.0863016 + 0.912768i
\(409\) 2.63515 + 4.37966i 0.130300 + 0.216560i 0.915138 0.403141i \(-0.132081\pi\)
−0.784838 + 0.619701i \(0.787254\pi\)
\(410\) 0.492104 0.725799i 0.0243033 0.0358446i
\(411\) −0.0897701 0.729795i −0.00442803 0.0359981i
\(412\) 22.1246i 1.09000i
\(413\) −26.6294 + 20.6120i −1.31035 + 1.01425i
\(414\) −6.31164 1.93079i −0.310200 0.0948929i
\(415\) −2.61479 + 0.725993i −0.128355 + 0.0356376i
\(416\) −21.7650 14.7570i −1.06712 0.723523i
\(417\) −14.2248 34.2911i −0.696590 1.67924i
\(418\) 0.599385 + 11.0550i 0.0293169 + 0.540718i
\(419\) 4.90602 + 1.65303i 0.239675 + 0.0807559i 0.436576 0.899668i \(-0.356191\pi\)
−0.196901 + 0.980423i \(0.563088\pi\)
\(420\) 0.0514501 + 3.65863i 0.00251051 + 0.178523i
\(421\) 2.31806 2.44715i 0.112975 0.119267i −0.667055 0.745009i \(-0.732445\pi\)
0.780030 + 0.625742i \(0.215204\pi\)
\(422\) −3.69730 + 1.47314i −0.179982 + 0.0717112i
\(423\) 34.5274 0.971287i 1.67878 0.0472256i
\(424\) 27.3356 14.4924i 1.32753 0.703813i
\(425\) 18.0436 + 0.978294i 0.875241 + 0.0474542i
\(426\) −2.88109 + 4.94449i −0.139589 + 0.239561i
\(427\) 0.703251 + 1.52005i 0.0340327 + 0.0735605i
\(428\) 7.29674 12.1273i 0.352701 0.586194i
\(429\) −19.8112 + 26.8362i −0.956492 + 1.29566i
\(430\) −0.360339 + 2.19797i −0.0173771 + 0.105996i
\(431\) 17.6543 13.4204i 0.850377 0.646439i −0.0864413 0.996257i \(-0.527550\pi\)
0.936818 + 0.349818i \(0.113756\pi\)
\(432\) −0.348300 0.777135i −0.0167576 0.0373899i
\(433\) −9.15159 13.4976i −0.439797 0.648653i 0.541601 0.840636i \(-0.317818\pi\)
−0.981398 + 0.191983i \(0.938508\pi\)
\(434\) 10.4377 22.5606i 0.501024 1.08294i
\(435\) −2.61780 3.74644i −0.125514 0.179628i
\(436\) 7.01396 9.22671i 0.335908 0.441879i
\(437\) 7.26931 1.60010i 0.347738 0.0765430i
\(438\) 10.8930 + 0.437084i 0.520489 + 0.0208847i
\(439\) 0.293197 + 0.0318871i 0.0139935 + 0.00152189i 0.115113 0.993352i \(-0.463277\pi\)
−0.101120 + 0.994874i \(0.532242\pi\)
\(440\) −1.01056 + 4.59102i −0.0481765 + 0.218868i
\(441\) −14.5215 33.6612i −0.691502 1.60292i
\(442\) −4.21423 + 15.1783i −0.200451 + 0.721958i
\(443\) −4.48087 + 16.1386i −0.212892 + 0.766769i 0.777548 + 0.628824i \(0.216463\pi\)
−0.990440 + 0.137945i \(0.955950\pi\)
\(444\) −0.890361 1.43376i −0.0422546 0.0680432i
\(445\) −0.729956 + 3.31622i −0.0346032 + 0.157204i
\(446\) 1.24038 + 0.134899i 0.0587336 + 0.00638767i
\(447\) −1.13972 + 28.4042i −0.0539071 + 1.34347i
\(448\) 22.7812 5.01453i 1.07631 0.236914i
\(449\) 6.41203 8.43488i 0.302602 0.398067i −0.619510 0.784989i \(-0.712669\pi\)
0.922112 + 0.386922i \(0.126462\pi\)
\(450\) −11.6316 + 5.78384i −0.548320 + 0.272653i
\(451\) 4.18350 9.04249i 0.196993 0.425794i
\(452\) 4.75849 + 7.01825i 0.223821 + 0.330111i
\(453\) 19.7472 17.2573i 0.927806 0.810818i
\(454\) 16.1765 12.2970i 0.759200 0.577129i
\(455\) −1.34334 + 8.19402i −0.0629768 + 0.384142i
\(456\) 12.0787 + 8.91682i 0.565638 + 0.417568i
\(457\) 8.22703 13.6734i 0.384844 0.639616i −0.602516 0.798107i \(-0.705835\pi\)
0.987361 + 0.158490i \(0.0506627\pi\)
\(458\) −4.89273 10.5755i −0.228622 0.494159i
\(459\) 14.2473 13.1756i 0.665008 0.614982i
\(460\) 1.18290 + 0.0641349i 0.0551530 + 0.00299031i
\(461\) 9.29751 4.92923i 0.433028 0.229577i −0.237612 0.971360i \(-0.576365\pi\)
0.670640 + 0.741783i \(0.266020\pi\)
\(462\) −4.87703 27.3352i −0.226900 1.27175i
\(463\) −4.32044 + 1.72142i −0.200788 + 0.0800012i −0.468364 0.883535i \(-0.655157\pi\)
0.267576 + 0.963537i \(0.413777\pi\)
\(464\) −0.740104 + 0.781318i −0.0343585 + 0.0362718i
\(465\) 4.40948 0.0620091i 0.204485 0.00287560i
\(466\) −8.24298 2.77738i −0.381848 0.128660i
\(467\) 1.25788 + 23.2002i 0.0582076 + 1.07358i 0.871082 + 0.491138i \(0.163419\pi\)
−0.812874 + 0.582439i \(0.802098\pi\)
\(468\) 4.10901 + 16.4496i 0.189939 + 0.760382i
\(469\) −7.03368 4.76896i −0.324785 0.220210i
\(470\) 3.98967 1.10773i 0.184030 0.0510956i
\(471\) −31.0405 4.64161i −1.43027 0.213874i
\(472\) −5.69814 + 21.2397i −0.262278 + 0.977638i
\(473\) 25.3068i 1.16361i
\(474\) 10.5449 1.29710i 0.484342 0.0595776i
\(475\) 8.22103 12.1251i 0.377207 0.556338i
\(476\) 10.1218 + 16.8226i 0.463933 + 0.771063i
\(477\) −31.4705 7.79158i −1.44093 0.356752i
\(478\) −6.16676 + 18.3023i −0.282061 + 0.837128i
\(479\) 4.13558 0.677994i 0.188960 0.0309783i −0.0665590 0.997782i \(-0.521202\pi\)
0.255519 + 0.966804i \(0.417754\pi\)
\(480\) 2.39330 + 3.05811i 0.109239 + 0.139583i
\(481\) −1.41762 3.55796i −0.0646379 0.162229i
\(482\) 15.0954 5.08623i 0.687576 0.231671i
\(483\) −17.6052 + 6.20889i −0.801066 + 0.282514i
\(484\) −0.369770 + 6.82000i −0.0168077 + 0.310000i
\(485\) −0.348493 + 0.874652i −0.0158243 + 0.0397159i
\(486\) −4.24041 + 13.2904i −0.192349 + 0.602864i
\(487\) 32.9938 + 19.8517i 1.49509 + 0.899568i 0.999519 + 0.0310029i \(0.00987010\pi\)
0.495575 + 0.868565i \(0.334957\pi\)
\(488\) 0.966333 + 0.512317i 0.0437438 + 0.0231915i
\(489\) −16.8071 5.40101i −0.760042 0.244242i
\(490\) −2.65950 3.49851i −0.120144 0.158047i
\(491\) 5.43416 + 4.61582i 0.245240 + 0.208309i 0.761573 0.648079i \(-0.224427\pi\)
−0.516333 + 0.856388i \(0.672703\pi\)
\(492\) −2.19088 4.56591i −0.0987723 0.205847i
\(493\) −22.2567 10.2971i −1.00239 0.463756i
\(494\) 8.78226 + 9.27132i 0.395133 + 0.417137i
\(495\) 3.99780 2.87793i 0.179688 0.129353i
\(496\) −0.223228 1.01413i −0.0100232 0.0455359i
\(497\) 1.74997 + 16.0907i 0.0784967 + 0.721765i
\(498\) 2.65827 10.1244i 0.119120 0.453685i
\(499\) −23.9090 5.26278i −1.07032 0.235594i −0.355335 0.934739i \(-0.615633\pi\)
−0.714980 + 0.699145i \(0.753564\pi\)
\(500\) 3.61328 3.06914i 0.161591 0.137256i
\(501\) 16.5001 37.0217i 0.737169 1.65401i
\(502\) 24.0033 + 6.66447i 1.07132 + 0.297450i
\(503\) 3.99388 + 4.70196i 0.178078 + 0.209650i 0.843958 0.536409i \(-0.180220\pi\)
−0.665880 + 0.746059i \(0.731944\pi\)
\(504\) −32.7973 18.4978i −1.46091 0.823958i
\(505\) 0.189682 1.74410i 0.00844074 0.0776113i
\(506\) −8.93712 + 0.971970i −0.397303 + 0.0432094i
\(507\) 1.08803 + 15.9225i 0.0483213 + 0.707143i
\(508\) −1.06613 0.810454i −0.0473020 0.0359581i
\(509\) 12.5877 11.9237i 0.557941 0.528510i −0.355931 0.934512i \(-0.615836\pi\)
0.913872 + 0.406002i \(0.133078\pi\)
\(510\) 1.27826 1.94358i 0.0566023 0.0860631i
\(511\) 25.5209 17.3036i 1.12898 0.765466i
\(512\) 1.19951 1.41217i 0.0530112 0.0624096i
\(513\) −3.19764 15.4038i −0.141179 0.680093i
\(514\) 1.98631 + 0.325639i 0.0876123 + 0.0143633i
\(515\) −3.47299 + 6.55075i −0.153038 + 0.288660i
\(516\) 9.92009 + 8.18888i 0.436708 + 0.360496i
\(517\) 42.6974 19.7539i 1.87783 0.868777i
\(518\) 2.96174 + 1.18006i 0.130131 + 0.0518490i
\(519\) −6.21995 1.27769i −0.273026 0.0560844i
\(520\) 2.53992 + 4.79079i 0.111383 + 0.210090i
\(521\) −6.48264 19.2398i −0.284010 0.842911i −0.990782 0.135469i \(-0.956746\pi\)
0.706772 0.707442i \(-0.250151\pi\)
\(522\) 17.5698 1.44907i 0.769007 0.0634240i
\(523\) −15.5718 14.7504i −0.680907 0.644989i 0.266941 0.963713i \(-0.413987\pi\)
−0.947848 + 0.318724i \(0.896746\pi\)
\(524\) −1.39711 8.52198i −0.0610329 0.372284i
\(525\) −16.7516 + 32.6998i −0.731099 + 1.42714i
\(526\) −15.4013 + 0.835032i −0.671527 + 0.0364091i
\(527\) 20.2751 12.1991i 0.883196 0.531402i
\(528\) −0.853229 0.785756i −0.0371320 0.0341957i
\(529\) −4.53622 16.3380i −0.197227 0.710347i
\(530\) −3.88641 −0.168815
\(531\) 19.2939 12.5994i 0.837284 0.546768i
\(532\) 15.9164 0.690062
\(533\) −3.07459 11.0737i −0.133175 0.479653i
\(534\) −9.63470 8.87279i −0.416934 0.383963i
\(535\) −4.06411 + 2.44530i −0.175707 + 0.105719i
\(536\) −5.54136 + 0.300444i −0.239350 + 0.0129772i
\(537\) −8.15610 + 15.9210i −0.351962 + 0.687044i
\(538\) 0.511393 + 3.11936i 0.0220477 + 0.134485i
\(539\) −36.2501 34.3379i −1.56140 1.47904i
\(540\) 0.165497 2.49836i 0.00712186 0.107512i
\(541\) 10.1734 + 30.1936i 0.437389 + 1.29812i 0.909176 + 0.416412i \(0.136713\pi\)
−0.471787 + 0.881712i \(0.656391\pi\)
\(542\) 3.54526 + 6.68707i 0.152282 + 0.287234i
\(543\) −9.92864 2.03952i −0.426079 0.0875243i
\(544\) 19.3565 + 7.71235i 0.829905 + 0.330664i
\(545\) −3.52507 + 1.63087i −0.150998 + 0.0698589i
\(546\) −24.7002 20.3896i −1.05707 0.872595i
\(547\) −4.78044 + 9.01687i −0.204397 + 0.385534i −0.964425 0.264357i \(-0.914840\pi\)
0.760028 + 0.649890i \(0.225185\pi\)
\(548\) −0.502346 0.0823554i −0.0214592 0.00351805i
\(549\) −0.396346 1.07538i −0.0169156 0.0458961i
\(550\) −11.4542 + 13.4850i −0.488410 + 0.575000i
\(551\) −16.4553 + 11.1569i −0.701018 + 0.475302i
\(552\) −6.69883 + 10.1855i −0.285121 + 0.433523i
\(553\) 21.8156 20.6648i 0.927694 0.878758i
\(554\) 11.6694 + 8.87087i 0.495787 + 0.376887i
\(555\) 0.0385588 + 0.564277i 0.00163673 + 0.0239522i
\(556\) −25.5509 + 2.77883i −1.08360 + 0.117849i
\(557\) 4.80513 44.1825i 0.203600 1.87207i −0.233083 0.972457i \(-0.574882\pi\)
0.436684 0.899615i \(-0.356153\pi\)
\(558\) −8.35642 + 14.8163i −0.353756 + 0.627223i
\(559\) 18.8979 + 22.2483i 0.799295 + 0.941002i
\(560\) −0.278213 0.0772453i −0.0117566 0.00326421i
\(561\) 10.7597 24.1418i 0.454274 1.01927i
\(562\) 17.3513 14.7383i 0.731919 0.621698i
\(563\) 16.4017 + 3.61028i 0.691247 + 0.152155i 0.546682 0.837340i \(-0.315891\pi\)
0.144565 + 0.989495i \(0.453822\pi\)
\(564\) 6.07281 23.1291i 0.255711 0.973913i
\(565\) −0.307232 2.82495i −0.0129253 0.118847i
\(566\) −2.29789 10.4394i −0.0965875 0.438801i
\(567\) 12.6763 + 37.3648i 0.532356 + 1.56917i
\(568\) 7.26883 + 7.67361i 0.304993 + 0.321978i
\(569\) 28.5134 + 13.1917i 1.19534 + 0.553025i 0.913659 0.406482i \(-0.133245\pi\)
0.281685 + 0.959507i \(0.409107\pi\)
\(570\) −0.815852 1.70028i −0.0341723 0.0712169i
\(571\) −15.8038 13.4239i −0.661370 0.561773i 0.252592 0.967573i \(-0.418717\pi\)
−0.913962 + 0.405800i \(0.866993\pi\)
\(572\) 13.9753 + 18.3842i 0.584338 + 0.768684i
\(573\) 22.0229 + 7.07714i 0.920019 + 0.295652i
\(574\) 8.45230 + 4.48112i 0.352792 + 0.187038i
\(575\) 10.1925 + 6.13264i 0.425058 + 0.255749i
\(576\) −15.8139 + 2.17137i −0.658914 + 0.0904739i
\(577\) −8.15487 + 20.4672i −0.339492 + 0.852060i 0.655782 + 0.754950i \(0.272339\pi\)
−0.995274 + 0.0971095i \(0.969040\pi\)
\(578\) −0.147896 + 2.72779i −0.00615167 + 0.113461i
\(579\) 34.8386 12.2866i 1.44784 0.510615i
\(580\) −2.99851 + 1.01031i −0.124506 + 0.0419510i
\(581\) −10.9582 27.5030i −0.454623 1.14102i
\(582\) −2.23826 2.86000i −0.0927790 0.118551i
\(583\) −43.5759 + 7.14390i −1.80473 + 0.295870i
\(584\) 6.42936 19.0817i 0.266049 0.789605i
\(585\) 1.36554 5.51547i 0.0564582 0.228036i
\(586\) 3.76579 + 6.25879i 0.155563 + 0.258548i
\(587\) −21.8081 + 32.1645i −0.900116 + 1.32757i 0.0443685 + 0.999015i \(0.485872\pi\)
−0.944484 + 0.328556i \(0.893438\pi\)
\(588\) −25.1902 + 3.09858i −1.03883 + 0.127783i
\(589\) 19.1828i 0.790416i
\(590\) 1.88209 2.02193i 0.0774842 0.0832414i
\(591\) 3.02246 + 0.451961i 0.124327 + 0.0185912i
\(592\) 0.128327 0.0356297i 0.00527419 0.00146437i
\(593\) 11.0087 + 7.46411i 0.452075 + 0.306514i 0.765892 0.642969i \(-0.222298\pi\)
−0.313817 + 0.949483i \(0.601608\pi\)
\(594\) 1.82791 + 18.9127i 0.0749999 + 0.775996i
\(595\) −0.356202 6.56977i −0.0146029 0.269334i
\(596\) 18.6501 + 6.28396i 0.763939 + 0.257401i
\(597\) −1.60022 + 0.0225034i −0.0654927 + 0.000921002i
\(598\) −7.13118 + 7.52829i −0.291615 + 0.307855i
\(599\) −8.38114 + 3.33935i −0.342444 + 0.136442i −0.535019 0.844840i \(-0.679696\pi\)
0.192575 + 0.981282i \(0.438316\pi\)
\(600\) 4.21421 + 23.6202i 0.172044 + 0.964290i
\(601\) 17.3493 9.19803i 0.707693 0.375195i −0.0753544 0.997157i \(-0.524009\pi\)
0.783048 + 0.621962i \(0.213664\pi\)
\(602\) −24.2637 1.31554i −0.988915 0.0536174i
\(603\) 4.53619 + 3.63853i 0.184728 + 0.148172i
\(604\) −7.62352 16.4780i −0.310197 0.670479i
\(605\) 1.18005 1.96125i 0.0479757 0.0797362i
\(606\) 5.44434 + 4.01915i 0.221161 + 0.163267i
\(607\) −2.30496 + 14.0596i −0.0935555 + 0.570663i 0.897898 + 0.440203i \(0.145094\pi\)
−0.991454 + 0.130460i \(0.958355\pi\)
\(608\) 13.4476 10.2226i 0.545373 0.414582i
\(609\) 37.5452 32.8111i 1.52141 1.32957i
\(610\) −0.0771002 0.113714i −0.00312170 0.00460416i
\(611\) 22.7859 49.2508i 0.921817 1.99247i
\(612\) −5.98174 12.0296i −0.241797 0.486268i
\(613\) 14.7515 19.4053i 0.595807 0.783771i −0.395054 0.918658i \(-0.629274\pi\)
0.990861 + 0.134887i \(0.0430672\pi\)
\(614\) −22.5347 + 4.96027i −0.909427 + 0.200180i
\(615\) −0.0680444 + 1.69580i −0.00274381 + 0.0683813i
\(616\) −50.9851 5.54496i −2.05425 0.223413i
\(617\) −4.69663 + 21.3370i −0.189079 + 0.858995i 0.782569 + 0.622564i \(0.213909\pi\)
−0.971648 + 0.236431i \(0.924022\pi\)
\(618\) −15.0878 24.2961i −0.606920 0.977331i
\(619\) −12.4026 + 44.6700i −0.498501 + 1.79544i 0.100792 + 0.994907i \(0.467862\pi\)
−0.599293 + 0.800530i \(0.704552\pi\)
\(620\) 0.816772 2.94175i 0.0328023 0.118143i
\(621\) 12.3489 3.26983i 0.495544 0.131214i
\(622\) 1.97384 8.96724i 0.0791437 0.359553i
\(623\) −36.8280 4.00528i −1.47548 0.160468i
\(624\) −1.33687 0.0536422i −0.0535177 0.00214741i
\(625\) 22.0754 4.85916i 0.883015 0.194366i
\(626\) −3.71423 + 4.88598i −0.148450 + 0.195283i
\(627\) −12.2730 17.5645i −0.490138 0.701458i
\(628\) −9.12358 + 19.7203i −0.364070 + 0.786925i
\(629\) 1.70308 + 2.51185i 0.0679062 + 0.100154i
\(630\) 2.55149 + 3.98262i 0.101654 + 0.158672i
\(631\) 20.2669 15.4065i 0.806813 0.613323i −0.118316 0.992976i \(-0.537750\pi\)
0.925129 + 0.379653i \(0.123957\pi\)
\(632\) 3.17469 19.3648i 0.126283 0.770289i
\(633\) 4.57491 6.19718i 0.181837 0.246316i
\(634\) 6.70652 11.1463i 0.266350 0.442677i
\(635\) 0.188445 + 0.407318i 0.00747822 + 0.0161639i
\(636\) −11.3001 + 19.3931i −0.448078 + 0.768985i
\(637\) −57.5108 3.11815i −2.27866 0.123545i
\(638\) 21.2145 11.2472i 0.839892 0.445283i
\(639\) −0.311447 11.0713i −0.0123206 0.437976i
\(640\) 2.38799 0.951460i 0.0943934 0.0376098i
\(641\) −28.0876 + 29.6518i −1.10939 + 1.17117i −0.125562 + 0.992086i \(0.540073\pi\)
−0.983833 + 0.179088i \(0.942685\pi\)
\(642\) −0.257255 18.2935i −0.0101531 0.721987i
\(643\) 10.3459 + 3.48592i 0.408001 + 0.137471i 0.515816 0.856700i \(-0.327489\pi\)
−0.107815 + 0.994171i \(0.534385\pi\)
\(644\) 0.699694 + 12.9051i 0.0275718 + 0.508532i
\(645\) −1.65174 3.98179i −0.0650372 0.156783i
\(646\) −8.37541 5.67867i −0.329526 0.223424i
\(647\) 43.2240 12.0011i 1.69931 0.471812i 0.723482 0.690343i \(-0.242540\pi\)
0.975830 + 0.218532i \(0.0701267\pi\)
\(648\) 21.3568 + 14.4155i 0.838974 + 0.566293i
\(649\) 17.3860 26.1302i 0.682459 1.02570i
\(650\) 20.4086i 0.800492i
\(651\) 5.87373 + 47.7511i 0.230210 + 1.87151i
\(652\) −6.85867 + 10.1158i −0.268606 + 0.396165i
\(653\) 22.8989 + 38.0583i 0.896104 + 1.48934i 0.871931 + 0.489629i \(0.162868\pi\)
0.0241728 + 0.999708i \(0.492305\pi\)
\(654\) 1.41024 14.9154i 0.0551448 0.583239i
\(655\) −0.924066 + 2.74253i −0.0361063 + 0.107160i
\(656\) 0.394370 0.0646537i 0.0153976 0.00252430i
\(657\) −18.3564 + 10.4035i −0.716152 + 0.405879i
\(658\) 16.7201 + 41.9644i 0.651819 + 1.63594i
\(659\) −13.2183 + 4.45377i −0.514912 + 0.173494i −0.564748 0.825263i \(-0.691027\pi\)
0.0498360 + 0.998757i \(0.484130\pi\)
\(660\) −1.13424 3.21613i −0.0441503 0.125188i
\(661\) −1.76856 + 32.6191i −0.0687888 + 1.26874i 0.736739 + 0.676177i \(0.236365\pi\)
−0.805528 + 0.592558i \(0.798118\pi\)
\(662\) 5.55910 13.9523i 0.216061 0.542272i
\(663\) −8.56858 29.2588i −0.332776 1.13632i
\(664\) −16.5662 9.96755i −0.642893 0.386816i
\(665\) −4.71258 2.49845i −0.182746 0.0968858i
\(666\) −1.95549 0.967300i −0.0757738 0.0374821i
\(667\) −9.76951 12.8516i −0.378277 0.497615i
\(668\) −21.3869 18.1662i −0.827483 0.702870i
\(669\) −2.17715 + 1.04467i −0.0841734 + 0.0403893i
\(670\) 0.632660 + 0.292700i 0.0244418 + 0.0113080i
\(671\) −1.07350 1.13328i −0.0414421 0.0437499i
\(672\) −30.3445 + 29.5643i −1.17056 + 1.14047i
\(673\) 1.37718 + 6.25659i 0.0530864 + 0.241174i 0.995691 0.0927385i \(-0.0295621\pi\)
−0.942604 + 0.333912i \(0.891631\pi\)
\(674\) 1.39804 + 12.8547i 0.0538503 + 0.495145i
\(675\) 13.2190 21.3860i 0.508801 0.823147i
\(676\) 10.7907 + 2.37521i 0.415026 + 0.0913542i
\(677\) −1.11014 + 0.942960i −0.0426661 + 0.0362409i −0.668466 0.743743i \(-0.733049\pi\)
0.625800 + 0.779984i \(0.284773\pi\)
\(678\) 10.0116 + 4.46203i 0.384493 + 0.171363i
\(679\) −9.89733 2.74798i −0.379825 0.105458i
\(680\) −2.78157 3.27471i −0.106668 0.125579i
\(681\) −14.0414 + 36.7354i −0.538069 + 1.40770i
\(682\) −2.50495 + 23.0326i −0.0959194 + 0.881964i
\(683\) −46.2881 + 5.03413i −1.77116 + 0.192626i −0.934710 0.355412i \(-0.884341\pi\)
−0.836454 + 0.548037i \(0.815375\pi\)
\(684\) −10.8565 0.872643i −0.415109 0.0333663i
\(685\) 0.135809 + 0.103239i 0.00518899 + 0.00394457i
\(686\) 14.8684 14.0841i 0.567680 0.537735i
\(687\) 18.8425 + 12.3924i 0.718884 + 0.472798i
\(688\) −0.840161 + 0.569644i −0.0320309 + 0.0217175i
\(689\) −32.9747 + 38.8208i −1.25623 + 1.47895i
\(690\) 1.34273 0.736244i 0.0511170 0.0280283i
\(691\) −6.50345 1.06619i −0.247403 0.0405597i 0.0368044 0.999322i \(-0.488282\pi\)
−0.284207 + 0.958763i \(0.591730\pi\)
\(692\) −2.05914 + 3.88396i −0.0782769 + 0.147646i
\(693\) 35.9289 + 39.9645i 1.36483 + 1.51813i
\(694\) −4.16753 + 1.92810i −0.158197 + 0.0731898i
\(695\) 8.00143 + 3.18806i 0.303512 + 0.120930i
\(696\) 6.55196 31.8957i 0.248351 1.20900i
\(697\) 4.26553 + 8.04564i 0.161568 + 0.304750i
\(698\) 4.42866 + 13.1438i 0.167627 + 0.497499i
\(699\) 16.3888 3.84983i 0.619881 0.145614i
\(700\) 18.4665 + 17.4924i 0.697966 + 0.661149i
\(701\) 1.38440 + 8.44444i 0.0522879 + 0.318942i 1.00000 0.000184568i \(-5.87498e-5\pi\)
−0.947712 + 0.319127i \(0.896610\pi\)
\(702\) 15.7300 + 15.2619i 0.593691 + 0.576024i
\(703\) 2.45668 0.133197i 0.0926555 0.00502363i
\(704\) −18.6289 + 11.2087i −0.702104 + 0.422442i
\(705\) −5.42873 + 5.89490i −0.204458 + 0.222015i
\(706\) 6.47176 + 23.3092i 0.243568 + 0.877253i
\(707\) 19.1398 0.719826
\(708\) −4.61701 15.2705i −0.173518 0.573900i
\(709\) 41.4536 1.55682 0.778412 0.627754i \(-0.216026\pi\)
0.778412 + 0.627754i \(0.216026\pi\)
\(710\) −0.355197 1.27930i −0.0133303 0.0480114i
\(711\) −16.0133 + 12.8993i −0.600547 + 0.483763i
\(712\) −20.7290 + 12.4722i −0.776852 + 0.467416i
\(713\) 15.5536 0.843291i 0.582486 0.0315815i
\(714\) 22.5873 + 11.5711i 0.845310 + 0.433039i
\(715\) −1.25203 7.63704i −0.0468233 0.285609i
\(716\) 8.99104 + 8.51677i 0.336011 + 0.318287i
\(717\) −8.54798 36.3888i −0.319230 1.35897i
\(718\) −3.57130 10.5992i −0.133280 0.395560i
\(719\) 10.7356 + 20.2496i 0.400372 + 0.755181i 0.998947 0.0458855i \(-0.0146109\pi\)
−0.598575 + 0.801067i \(0.704266\pi\)
\(720\) 0.185533 + 0.0679423i 0.00691440 + 0.00253206i
\(721\) −75.1444 29.9402i −2.79852 1.11503i
\(722\) 7.98670 3.69504i 0.297234 0.137515i
\(723\) −19.6264 + 23.7756i −0.729914 + 0.884225i
\(724\) −3.28692 + 6.19979i −0.122158 + 0.230414i
\(725\) −31.3534 5.14013i −1.16444 0.190900i
\(726\) 4.24481 + 7.74153i 0.157540 + 0.287315i
\(727\) 11.9683 14.0902i 0.443879 0.522575i −0.494035 0.869442i \(-0.664479\pi\)
0.937914 + 0.346867i \(0.112754\pi\)
\(728\) −48.9638 + 33.1983i −1.81472 + 1.23041i
\(729\) −6.59790 26.1814i −0.244367 0.969683i
\(730\) −1.83626 + 1.73940i −0.0679631 + 0.0643780i
\(731\) −18.4138 13.9978i −0.681060 0.517729i
\(732\) −0.791606 + 0.0540930i −0.0292586 + 0.00199933i
\(733\) −27.9125 + 3.03566i −1.03097 + 0.112125i −0.607934 0.793988i \(-0.708001\pi\)
−0.423037 + 0.906113i \(0.639036\pi\)
\(734\) 0.229706 2.11211i 0.00847861 0.0779595i
\(735\) 7.94481 + 3.03676i 0.293049 + 0.112013i
\(736\) 8.87973 + 10.4540i 0.327311 + 0.385341i
\(737\) 7.63164 + 2.11892i 0.281115 + 0.0780513i
\(738\) −5.51960 3.51997i −0.203179 0.129572i
\(739\) −17.1693 + 14.5838i −0.631584 + 0.536472i −0.904993 0.425426i \(-0.860124\pi\)
0.273410 + 0.961898i \(0.411849\pi\)
\(740\) 0.382410 + 0.0841749i 0.0140577 + 0.00309433i
\(741\) −23.9060 6.27678i −0.878209 0.230583i
\(742\) −4.58421 42.1511i −0.168292 1.54742i
\(743\) −6.79303 30.8611i −0.249212 1.13218i −0.920425 0.390918i \(-0.872158\pi\)
0.671213 0.741264i \(-0.265773\pi\)
\(744\) 21.9249 + 22.5035i 0.803807 + 0.825017i
\(745\) −4.53559 4.78816i −0.166171 0.175425i
\(746\) 16.9057 + 7.82142i 0.618962 + 0.286362i
\(747\) 5.96666 + 19.3605i 0.218309 + 0.708365i
\(748\) −13.9463 11.8461i −0.509929 0.433137i
\(749\) −31.3149 41.1940i −1.14422 1.50520i
\(750\) 1.87492 5.83443i 0.0684622 0.213043i
\(751\) 40.1619 + 21.2925i 1.46553 + 0.776974i 0.994459 0.105123i \(-0.0335235\pi\)
0.471069 + 0.882096i \(0.343868\pi\)
\(752\) 1.61691 + 0.972861i 0.0589626 + 0.0354766i
\(753\) −46.2704 + 13.5505i −1.68619 + 0.493808i
\(754\) 10.2517 25.7299i 0.373346 0.937027i
\(755\) −0.329407 + 6.07556i −0.0119884 + 0.221112i
\(756\) 27.2918 1.15200i 0.992594 0.0418977i
\(757\) 45.2814 15.2571i 1.64578 0.554528i 0.664529 0.747262i \(-0.268632\pi\)
0.981251 + 0.192734i \(0.0617355\pi\)
\(758\) −4.24063 10.6432i −0.154027 0.386578i
\(759\) 13.7019 10.7232i 0.497346 0.389228i
\(760\) −3.43736 + 0.563527i −0.124686 + 0.0204413i
\(761\) −8.76098 + 26.0017i −0.317585 + 0.942560i 0.663364 + 0.748297i \(0.269128\pi\)
−0.980949 + 0.194263i \(0.937768\pi\)
\(762\) −1.72346 0.162952i −0.0624342 0.00590311i
\(763\) −21.8460 36.3084i −0.790880 1.31445i
\(764\) 8.98716 13.2551i 0.325144 0.479551i
\(765\) −0.117235 + 4.50075i −0.00423863 + 0.162725i
\(766\) 23.1568i 0.836688i
\(767\) −4.22795 35.9551i −0.152662 1.29826i
\(768\) −4.19225 + 28.0354i −0.151275 + 1.01164i
\(769\) −0.590353 + 0.163911i −0.0212887 + 0.00591078i −0.278156 0.960536i \(-0.589723\pi\)
0.256868 + 0.966447i \(0.417310\pi\)
\(770\) 5.33208 + 3.61524i 0.192155 + 0.130284i
\(771\) −3.59835 + 1.49268i −0.129591 + 0.0537575i
\(772\) −1.38461 25.5376i −0.0498331 0.919118i
\(773\) −40.2635