Properties

Label 177.2.e.a.121.1
Level $177$
Weight $2$
Character 177.121
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 121.1
Character \(\chi\) \(=\) 177.121
Dual form 177.2.e.a.79.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.72793 + 0.799427i) q^{2} +(-0.947653 - 0.319302i) q^{3} +(1.05189 - 1.23839i) q^{4} +(-1.39134 - 0.837139i) q^{5} +(1.89274 - 0.205848i) q^{6} +(-0.142290 + 2.62438i) q^{7} +(0.191090 - 0.688244i) q^{8} +(0.796093 + 0.605174i) q^{9} +O(q^{10})\) \(q+(-1.72793 + 0.799427i) q^{2} +(-0.947653 - 0.319302i) q^{3} +(1.05189 - 1.23839i) q^{4} +(-1.39134 - 0.837139i) q^{5} +(1.89274 - 0.205848i) q^{6} +(-0.142290 + 2.62438i) q^{7} +(0.191090 - 0.688244i) q^{8} +(0.796093 + 0.605174i) q^{9} +(3.07336 + 0.334248i) q^{10} +(0.854517 - 5.21232i) q^{11} +(-1.39225 + 0.837689i) q^{12} +(4.55434 - 3.46212i) q^{13} +(-1.85213 - 4.64850i) q^{14} +(1.05120 + 1.23757i) q^{15} +(0.745748 + 4.54886i) q^{16} +(0.344474 + 6.35345i) q^{17} +(-1.85939 - 0.409282i) q^{18} +(4.06852 - 3.85390i) q^{19} +(-2.50024 + 0.842429i) q^{20} +(0.972809 - 2.44157i) q^{21} +(2.69032 + 9.68967i) q^{22} +(6.63682 - 1.46087i) q^{23} +(-0.400844 + 0.591201i) q^{24} +(-1.10703 - 2.08808i) q^{25} +(-5.10188 + 9.62317i) q^{26} +(-0.561187 - 0.827689i) q^{27} +(3.10032 + 2.93678i) q^{28} +(-0.602619 - 0.278801i) q^{29} +(-2.80576 - 1.29808i) q^{30} +(-7.43368 - 7.04155i) q^{31} +(-4.12339 - 6.08155i) q^{32} +(-2.47409 + 4.66663i) q^{33} +(-5.67434 - 10.7029i) q^{34} +(2.39494 - 3.53227i) q^{35} +(1.58685 - 0.349291i) q^{36} +(0.215223 + 0.775163i) q^{37} +(-3.94921 + 9.91176i) q^{38} +(-5.42140 + 1.82668i) q^{39} +(-0.842026 + 0.797609i) q^{40} +(1.27550 + 0.280760i) q^{41} +(0.270905 + 4.99655i) q^{42} +(0.229197 + 1.39804i) q^{43} +(-5.55601 - 6.54104i) q^{44} +(-0.601018 - 1.50844i) q^{45} +(-10.3001 + 7.82994i) q^{46} +(0.00247183 - 0.00148725i) q^{47} +(0.745748 - 4.54886i) q^{48} +(0.0918601 + 0.00999039i) q^{49} +(3.58214 + 2.72307i) q^{50} +(1.70222 - 6.13085i) q^{51} +(0.503246 - 9.28182i) q^{52} +(-3.54835 + 0.385906i) q^{53} +(1.63137 + 0.981563i) q^{54} +(-5.55236 + 6.53674i) q^{55} +(1.77902 + 0.599422i) q^{56} +(-5.08610 + 2.35308i) q^{57} +1.26417 q^{58} +(-7.59636 - 1.13814i) q^{59} +2.63835 q^{60} +(9.21283 - 4.26231i) q^{61} +(18.4741 + 6.22465i) q^{62} +(-1.70148 + 2.00314i) q^{63} +(4.08718 + 2.45918i) q^{64} +(-9.23489 + 1.00436i) q^{65} +(0.544433 - 10.0415i) q^{66} +(0.134746 - 0.485313i) q^{67} +(8.23037 + 6.25657i) q^{68} +(-6.75586 - 0.734744i) q^{69} +(-1.31450 + 8.01810i) q^{70} +(4.07497 - 2.45183i) q^{71} +(0.568633 - 0.432264i) q^{72} +(2.65022 + 6.65154i) q^{73} +(-0.991577 - 1.16738i) q^{74} +(0.382353 + 2.33225i) q^{75} +(-0.492970 - 9.09230i) q^{76} +(13.5575 + 2.98423i) q^{77} +(7.90751 - 7.49039i) q^{78} +(1.81911 - 0.612928i) q^{79} +(2.77044 - 6.95328i) q^{80} +(0.267528 + 0.963550i) q^{81} +(-2.42843 + 0.534538i) q^{82} +(3.11289 - 4.59117i) q^{83} +(-2.00031 - 3.77298i) q^{84} +(4.83944 - 9.12815i) q^{85} +(-1.51367 - 2.23249i) q^{86} +(0.482052 + 0.456624i) q^{87} +(-3.42406 - 1.58414i) q^{88} +(13.4960 + 6.24389i) q^{89} +(2.24441 + 2.12601i) q^{90} +(8.43787 + 12.4449i) q^{91} +(5.17211 - 9.75563i) q^{92} +(4.79617 + 9.04654i) q^{93} +(-0.00308221 + 0.00454592i) q^{94} +(-8.88692 + 1.95616i) q^{95} +(1.96570 + 7.07980i) q^{96} +(-3.81910 + 9.58522i) q^{97} +(-0.166715 + 0.0561727i) q^{98} +(3.83464 - 3.63236i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{25}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.72793 + 0.799427i −1.22183 + 0.565280i −0.921434 0.388534i \(-0.872982\pi\)
−0.300398 + 0.953814i \(0.597120\pi\)
\(3\) −0.947653 0.319302i −0.547128 0.184349i
\(4\) 1.05189 1.23839i 0.525947 0.619193i
\(5\) −1.39134 0.837139i −0.622224 0.374380i 0.169258 0.985572i \(-0.445863\pi\)
−0.791482 + 0.611192i \(0.790690\pi\)
\(6\) 1.89274 0.205848i 0.772707 0.0840370i
\(7\) −0.142290 + 2.62438i −0.0537804 + 0.991921i 0.839766 + 0.542949i \(0.182692\pi\)
−0.893546 + 0.448972i \(0.851790\pi\)
\(8\) 0.191090 0.688244i 0.0675605 0.243331i
\(9\) 0.796093 + 0.605174i 0.265364 + 0.201725i
\(10\) 3.07336 + 0.334248i 0.971883 + 0.105699i
\(11\) 0.854517 5.21232i 0.257647 1.57157i −0.468140 0.883655i \(-0.655076\pi\)
0.725786 0.687920i \(-0.241476\pi\)
\(12\) −1.39225 + 0.837689i −0.401908 + 0.241820i
\(13\) 4.55434 3.46212i 1.26315 0.960220i 0.263158 0.964753i \(-0.415236\pi\)
0.999990 + 0.00453321i \(0.00144297\pi\)
\(14\) −1.85213 4.64850i −0.495003 1.24236i
\(15\) 1.05120 + 1.23757i 0.271420 + 0.319540i
\(16\) 0.745748 + 4.54886i 0.186437 + 1.13721i
\(17\) 0.344474 + 6.35345i 0.0835472 + 1.54094i 0.676949 + 0.736030i \(0.263302\pi\)
−0.593401 + 0.804907i \(0.702215\pi\)
\(18\) −1.85939 0.409282i −0.438262 0.0964687i
\(19\) 4.06852 3.85390i 0.933382 0.884146i −0.0600938 0.998193i \(-0.519140\pi\)
0.993475 + 0.114047i \(0.0363814\pi\)
\(20\) −2.50024 + 0.842429i −0.559071 + 0.188373i
\(21\) 0.972809 2.44157i 0.212284 0.532793i
\(22\) 2.69032 + 9.68967i 0.573579 + 2.06584i
\(23\) 6.63682 1.46087i 1.38387 0.304613i 0.540229 0.841518i \(-0.318338\pi\)
0.843643 + 0.536905i \(0.180407\pi\)
\(24\) −0.400844 + 0.591201i −0.0818220 + 0.120678i
\(25\) −1.10703 2.08808i −0.221406 0.417616i
\(26\) −5.10188 + 9.62317i −1.00056 + 1.88726i
\(27\) −0.561187 0.827689i −0.108001 0.159289i
\(28\) 3.10032 + 2.93678i 0.585905 + 0.554999i
\(29\) −0.602619 0.278801i −0.111903 0.0517721i 0.363139 0.931735i \(-0.381705\pi\)
−0.475042 + 0.879963i \(0.657567\pi\)
\(30\) −2.80576 1.29808i −0.512259 0.236996i
\(31\) −7.43368 7.04155i −1.33513 1.26470i −0.937867 0.346995i \(-0.887202\pi\)
−0.397261 0.917706i \(-0.630039\pi\)
\(32\) −4.12339 6.08155i −0.728920 1.07508i
\(33\) −2.47409 + 4.66663i −0.430684 + 0.812355i
\(34\) −5.67434 10.7029i −0.973142 1.83554i
\(35\) 2.39494 3.53227i 0.404819 0.597063i
\(36\) 1.58685 0.349291i 0.264474 0.0582152i
\(37\) 0.215223 + 0.775163i 0.0353825 + 0.127436i 0.979132 0.203225i \(-0.0651422\pi\)
−0.943750 + 0.330661i \(0.892728\pi\)
\(38\) −3.94921 + 9.91176i −0.640646 + 1.60790i
\(39\) −5.42140 + 1.82668i −0.868118 + 0.292503i
\(40\) −0.842026 + 0.797609i −0.133136 + 0.126113i
\(41\) 1.27550 + 0.280760i 0.199200 + 0.0438473i 0.313450 0.949605i \(-0.398515\pi\)
−0.114250 + 0.993452i \(0.536446\pi\)
\(42\) 0.270905 + 4.99655i 0.0418016 + 0.770984i
\(43\) 0.229197 + 1.39804i 0.0349522 + 0.213199i 0.998528 0.0542358i \(-0.0172723\pi\)
−0.963576 + 0.267435i \(0.913824\pi\)
\(44\) −5.55601 6.54104i −0.837600 0.986099i
\(45\) −0.601018 1.50844i −0.0895944 0.224865i
\(46\) −10.3001 + 7.82994i −1.51867 + 1.15446i
\(47\) 0.00247183 0.00148725i 0.000360554 0.000216938i −0.515374 0.856966i \(-0.672347\pi\)
0.515734 + 0.856749i \(0.327519\pi\)
\(48\) 0.745748 4.54886i 0.107639 0.656571i
\(49\) 0.0918601 + 0.00999039i 0.0131229 + 0.00142720i
\(50\) 3.58214 + 2.72307i 0.506591 + 0.385100i
\(51\) 1.70222 6.13085i 0.238359 0.858491i
\(52\) 0.503246 9.28182i 0.0697876 1.28716i
\(53\) −3.54835 + 0.385906i −0.487403 + 0.0530082i −0.348521 0.937301i \(-0.613316\pi\)
−0.138881 + 0.990309i \(0.544351\pi\)
\(54\) 1.63137 + 0.981563i 0.222001 + 0.133574i
\(55\) −5.55236 + 6.53674i −0.748680 + 0.881414i
\(56\) 1.77902 + 0.599422i 0.237732 + 0.0801011i
\(57\) −5.08610 + 2.35308i −0.673670 + 0.311673i
\(58\) 1.26417 0.165993
\(59\) −7.59636 1.13814i −0.988961 0.148174i
\(60\) 2.63835 0.340609
\(61\) 9.21283 4.26231i 1.17958 0.545733i 0.270650 0.962678i \(-0.412761\pi\)
0.908932 + 0.416945i \(0.136899\pi\)
\(62\) 18.4741 + 6.22465i 2.34621 + 0.790531i
\(63\) −1.70148 + 2.00314i −0.214366 + 0.252372i
\(64\) 4.08718 + 2.45918i 0.510898 + 0.307397i
\(65\) −9.23489 + 1.00436i −1.14545 + 0.124575i
\(66\) 0.544433 10.0415i 0.0670150 1.23602i
\(67\) 0.134746 0.485313i 0.0164619 0.0592904i −0.954863 0.297047i \(-0.903998\pi\)
0.971325 + 0.237756i \(0.0764120\pi\)
\(68\) 8.23037 + 6.25657i 0.998079 + 0.758720i
\(69\) −6.75586 0.734744i −0.813310 0.0884528i
\(70\) −1.31450 + 8.01810i −0.157113 + 0.958347i
\(71\) 4.07497 2.45183i 0.483610 0.290978i −0.252795 0.967520i \(-0.581350\pi\)
0.736404 + 0.676542i \(0.236522\pi\)
\(72\) 0.568633 0.432264i 0.0670140 0.0509427i
\(73\) 2.65022 + 6.65154i 0.310184 + 0.778504i 0.998585 + 0.0531735i \(0.0169336\pi\)
−0.688401 + 0.725330i \(0.741687\pi\)
\(74\) −0.991577 1.16738i −0.115269 0.135705i
\(75\) 0.382353 + 2.33225i 0.0441503 + 0.269305i
\(76\) −0.492970 9.09230i −0.0565475 1.04296i
\(77\) 13.5575 + 2.98423i 1.54502 + 0.340085i
\(78\) 7.90751 7.49039i 0.895349 0.848120i
\(79\) 1.81911 0.612928i 0.204665 0.0689598i −0.215102 0.976592i \(-0.569008\pi\)
0.419767 + 0.907632i \(0.362112\pi\)
\(80\) 2.77044 6.95328i 0.309745 0.777401i
\(81\) 0.267528 + 0.963550i 0.0297254 + 0.107061i
\(82\) −2.42843 + 0.534538i −0.268175 + 0.0590298i
\(83\) 3.11289 4.59117i 0.341684 0.503947i −0.617560 0.786523i \(-0.711879\pi\)
0.959245 + 0.282577i \(0.0911892\pi\)
\(84\) −2.00031 3.77298i −0.218252 0.411666i
\(85\) 4.83944 9.12815i 0.524911 0.990086i
\(86\) −1.51367 2.23249i −0.163223 0.240736i
\(87\) 0.482052 + 0.456624i 0.0516814 + 0.0489552i
\(88\) −3.42406 1.58414i −0.365006 0.168870i
\(89\) 13.4960 + 6.24389i 1.43057 + 0.661851i 0.973732 0.227699i \(-0.0731203\pi\)
0.456837 + 0.889551i \(0.348982\pi\)
\(90\) 2.24441 + 2.12601i 0.236581 + 0.224102i
\(91\) 8.43787 + 12.4449i 0.884530 + 1.30458i
\(92\) 5.17211 9.75563i 0.539229 1.01709i
\(93\) 4.79617 + 9.04654i 0.497340 + 0.938082i
\(94\) −0.00308221 + 0.00454592i −0.000317905 + 0.000468875i
\(95\) −8.88692 + 1.95616i −0.911779 + 0.200698i
\(96\) 1.96570 + 7.07980i 0.200623 + 0.722579i
\(97\) −3.81910 + 9.58522i −0.387771 + 0.973231i 0.597444 + 0.801910i \(0.296183\pi\)
−0.985215 + 0.171321i \(0.945196\pi\)
\(98\) −0.166715 + 0.0561727i −0.0168407 + 0.00567430i
\(99\) 3.83464 3.63236i 0.385396 0.365066i
\(100\) −3.75033 0.825510i −0.375033 0.0825510i
\(101\) 0.107848 + 1.98914i 0.0107313 + 0.197927i 0.998983 + 0.0450912i \(0.0143579\pi\)
−0.988252 + 0.152836i \(0.951159\pi\)
\(102\) 1.95984 + 11.9545i 0.194053 + 1.18367i
\(103\) −11.3280 13.3363i −1.11618 1.31407i −0.944350 0.328942i \(-0.893308\pi\)
−0.171830 0.985127i \(-0.554968\pi\)
\(104\) −1.51249 3.79608i −0.148312 0.372236i
\(105\) −3.39743 + 2.58266i −0.331555 + 0.252042i
\(106\) 5.82280 3.50346i 0.565560 0.340286i
\(107\) −0.124356 + 0.758536i −0.0120219 + 0.0733305i −0.992156 0.125005i \(-0.960105\pi\)
0.980134 + 0.198336i \(0.0635536\pi\)
\(108\) −1.61531 0.175675i −0.155433 0.0169044i
\(109\) −1.81342 1.37852i −0.173694 0.132039i 0.514715 0.857361i \(-0.327898\pi\)
−0.688409 + 0.725322i \(0.741691\pi\)
\(110\) 4.36845 15.7337i 0.416516 1.50015i
\(111\) 0.0435541 0.803307i 0.00413397 0.0762465i
\(112\) −12.0440 + 1.30987i −1.13805 + 0.123771i
\(113\) 11.3226 + 6.81259i 1.06514 + 0.640875i 0.936447 0.350809i \(-0.114093\pi\)
0.128696 + 0.991684i \(0.458921\pi\)
\(114\) 6.90732 8.13193i 0.646930 0.761625i
\(115\) −10.4570 3.52337i −0.975119 0.328556i
\(116\) −0.979155 + 0.453005i −0.0909123 + 0.0420605i
\(117\) 5.72087 0.528894
\(118\) 14.0359 4.10609i 1.29210 0.377997i
\(119\) −16.7229 −1.53298
\(120\) 1.05263 0.486997i 0.0960912 0.0444565i
\(121\) −16.0139 5.39572i −1.45581 0.490520i
\(122\) −12.5117 + 14.7300i −1.13276 + 1.33359i
\(123\) −1.11909 0.673333i −0.100905 0.0607124i
\(124\) −16.5396 + 1.79879i −1.48530 + 0.161536i
\(125\) −0.647307 + 11.9389i −0.0578969 + 1.06785i
\(126\) 1.33868 4.82150i 0.119259 0.429533i
\(127\) 0.792351 + 0.602329i 0.0703097 + 0.0534481i 0.639739 0.768592i \(-0.279043\pi\)
−0.569429 + 0.822041i \(0.692836\pi\)
\(128\) 5.58079 + 0.606948i 0.493277 + 0.0536471i
\(129\) 0.229197 1.39804i 0.0201797 0.123091i
\(130\) 15.1544 9.11808i 1.32913 0.799708i
\(131\) −4.77225 + 3.62777i −0.416954 + 0.316960i −0.792532 0.609831i \(-0.791237\pi\)
0.375578 + 0.926791i \(0.377444\pi\)
\(132\) 3.17661 + 7.97268i 0.276488 + 0.693933i
\(133\) 9.53519 + 11.2257i 0.826805 + 0.973391i
\(134\) 0.155139 + 0.946308i 0.0134020 + 0.0817486i
\(135\) 0.0879089 + 1.62138i 0.00756599 + 0.139547i
\(136\) 4.43855 + 0.976998i 0.380602 + 0.0837769i
\(137\) 8.55662 8.10526i 0.731042 0.692479i −0.228658 0.973507i \(-0.573434\pi\)
0.959700 + 0.281027i \(0.0906752\pi\)
\(138\) 12.2610 4.13123i 1.04373 0.351673i
\(139\) 0.655933 1.64627i 0.0556355 0.139635i −0.898532 0.438909i \(-0.855365\pi\)
0.954167 + 0.299274i \(0.0967445\pi\)
\(140\) −1.85509 6.68144i −0.156784 0.564685i
\(141\) −0.00281732 0.000620139i −0.000237261 5.22251e-5i
\(142\) −5.08121 + 7.49423i −0.426406 + 0.628902i
\(143\) −14.1539 26.6972i −1.18361 2.23253i
\(144\) −2.15917 + 4.07262i −0.179931 + 0.339385i
\(145\) 0.605049 + 0.892381i 0.0502466 + 0.0741082i
\(146\) −9.89681 9.37476i −0.819066 0.775860i
\(147\) −0.0838616 0.0387985i −0.00691679 0.00320005i
\(148\) 1.18634 + 0.548861i 0.0975169 + 0.0451161i
\(149\) −12.7170 12.0462i −1.04182 0.986863i −0.0418941 0.999122i \(-0.513339\pi\)
−0.999925 + 0.0122587i \(0.996098\pi\)
\(150\) −2.52514 3.72431i −0.206177 0.304089i
\(151\) 5.45279 10.2851i 0.443742 0.836986i −0.556240 0.831022i \(-0.687757\pi\)
0.999982 0.00596472i \(-0.00189864\pi\)
\(152\) −1.87497 3.53657i −0.152080 0.286854i
\(153\) −3.57071 + 5.26640i −0.288675 + 0.425763i
\(154\) −25.8121 + 5.68168i −2.08000 + 0.457843i
\(155\) 4.44798 + 16.0202i 0.357270 + 1.28677i
\(156\) −3.44060 + 8.63526i −0.275469 + 0.691374i
\(157\) −12.6983 + 4.27857i −1.01344 + 0.341467i −0.776540 0.630067i \(-0.783027\pi\)
−0.236898 + 0.971535i \(0.576131\pi\)
\(158\) −2.65330 + 2.51334i −0.211085 + 0.199951i
\(159\) 3.48582 + 0.767287i 0.276444 + 0.0608498i
\(160\) 0.645922 + 11.9133i 0.0510646 + 0.941831i
\(161\) 2.88953 + 17.6254i 0.227727 + 1.38907i
\(162\) −1.23256 1.45108i −0.0968389 0.114008i
\(163\) 2.46721 + 6.19224i 0.193247 + 0.485014i 0.993389 0.114797i \(-0.0366218\pi\)
−0.800142 + 0.599811i \(0.795242\pi\)
\(164\) 1.68938 1.28424i 0.131919 0.100282i
\(165\) 7.34890 4.42169i 0.572111 0.344228i
\(166\) −1.70856 + 10.4218i −0.132610 + 0.808886i
\(167\) −11.6942 1.27182i −0.904926 0.0984166i −0.356191 0.934413i \(-0.615925\pi\)
−0.548735 + 0.835997i \(0.684890\pi\)
\(168\) −1.49450 1.13609i −0.115303 0.0876511i
\(169\) 5.27788 19.0092i 0.405991 1.46225i
\(170\) −1.06494 + 19.6416i −0.0816769 + 1.50644i
\(171\) 5.57120 0.605905i 0.426040 0.0463347i
\(172\) 1.97240 + 1.18676i 0.150394 + 0.0904893i
\(173\) −12.6900 + 14.9398i −0.964799 + 1.13585i 0.0258843 + 0.999665i \(0.491760\pi\)
−0.990683 + 0.136185i \(0.956516\pi\)
\(174\) −1.19799 0.403650i −0.0908194 0.0306006i
\(175\) 5.63743 2.60815i 0.426149 0.197158i
\(176\) 24.3474 1.83525
\(177\) 6.83530 + 3.50409i 0.513773 + 0.263384i
\(178\) −28.3116 −2.12205
\(179\) −0.571402 + 0.264358i −0.0427086 + 0.0197591i −0.441127 0.897445i \(-0.645421\pi\)
0.398419 + 0.917204i \(0.369559\pi\)
\(180\) −2.50024 0.842429i −0.186357 0.0627909i
\(181\) −6.64630 + 7.82463i −0.494016 + 0.581600i −0.951512 0.307611i \(-0.900470\pi\)
0.457496 + 0.889211i \(0.348746\pi\)
\(182\) −24.5289 14.7585i −1.81820 1.09398i
\(183\) −10.0915 + 1.09752i −0.745987 + 0.0811310i
\(184\) 0.262792 4.84691i 0.0193733 0.357319i
\(185\) 0.349472 1.25868i 0.0256937 0.0925403i
\(186\) −15.5195 11.7976i −1.13794 0.865043i
\(187\) 33.4106 + 3.63362i 2.44322 + 0.265717i
\(188\) 0.000758314 0.00462551i 5.53058e−5 0.000337350i
\(189\) 2.25202 1.35499i 0.163810 0.0985614i
\(190\) 13.7922 10.4846i 1.00059 0.760629i
\(191\) 0.397443 + 0.997506i 0.0287579 + 0.0721770i 0.942654 0.333770i \(-0.108321\pi\)
−0.913897 + 0.405947i \(0.866942\pi\)
\(192\) −3.08801 3.63549i −0.222858 0.262369i
\(193\) −0.560514 3.41899i −0.0403467 0.246104i 0.958951 0.283571i \(-0.0915193\pi\)
−0.999298 + 0.0374673i \(0.988071\pi\)
\(194\) −1.06353 19.6157i −0.0763572 1.40832i
\(195\) 9.07217 + 1.99694i 0.649671 + 0.143003i
\(196\) 0.108999 0.103249i 0.00778565 0.00737496i
\(197\) 4.24188 1.42925i 0.302221 0.101830i −0.164105 0.986443i \(-0.552474\pi\)
0.466327 + 0.884613i \(0.345577\pi\)
\(198\) −3.72219 + 9.34199i −0.264525 + 0.663906i
\(199\) 5.63286 + 20.2877i 0.399303 + 1.43816i 0.841020 + 0.541004i \(0.181956\pi\)
−0.441717 + 0.897154i \(0.645631\pi\)
\(200\) −1.64865 + 0.362895i −0.116577 + 0.0256606i
\(201\) −0.282654 + 0.416884i −0.0199369 + 0.0294047i
\(202\) −1.77653 3.35089i −0.124996 0.235768i
\(203\) 0.817425 1.54183i 0.0573720 0.108215i
\(204\) −5.80181 8.55702i −0.406208 0.599112i
\(205\) −1.53962 1.45840i −0.107532 0.101859i
\(206\) 30.2354 + 13.9884i 2.10660 + 0.974618i
\(207\) 6.16761 + 2.85344i 0.428678 + 0.198328i
\(208\) 19.1451 + 18.1352i 1.32747 + 1.25745i
\(209\) −16.6112 24.4997i −1.14902 1.69468i
\(210\) 3.80588 7.17866i 0.262631 0.495375i
\(211\) 0.532025 + 1.00350i 0.0366261 + 0.0690841i 0.901150 0.433508i \(-0.142725\pi\)
−0.864524 + 0.502592i \(0.832380\pi\)
\(212\) −3.25459 + 4.80016i −0.223526 + 0.329676i
\(213\) −4.64453 + 1.02234i −0.318238 + 0.0700494i
\(214\) −0.391516 1.41011i −0.0267635 0.0963933i
\(215\) 0.851463 2.13701i 0.0580693 0.145743i
\(216\) −0.676889 + 0.228071i −0.0460565 + 0.0155182i
\(217\) 19.5374 18.5068i 1.32629 1.25633i
\(218\) 4.23549 + 0.932302i 0.286864 + 0.0631435i
\(219\) −0.387638 7.14957i −0.0261942 0.483123i
\(220\) 2.25451 + 13.7519i 0.151999 + 0.927155i
\(221\) 23.5653 + 27.7432i 1.58517 + 1.86621i
\(222\) 0.566927 + 1.42288i 0.0380496 + 0.0954974i
\(223\) −3.89506 + 2.96094i −0.260832 + 0.198279i −0.727415 0.686198i \(-0.759278\pi\)
0.466582 + 0.884478i \(0.345485\pi\)
\(224\) 16.5470 9.95599i 1.10559 0.665213i
\(225\) 0.382353 2.33225i 0.0254902 0.155483i
\(226\) −25.0109 2.72010i −1.66370 0.180938i
\(227\) 4.09404 + 3.11220i 0.271731 + 0.206564i 0.732161 0.681132i \(-0.238512\pi\)
−0.460430 + 0.887696i \(0.652305\pi\)
\(228\) −2.43602 + 8.77375i −0.161329 + 0.581056i
\(229\) −1.56749 + 28.9107i −0.103583 + 1.91047i 0.239055 + 0.971006i \(0.423162\pi\)
−0.342638 + 0.939467i \(0.611321\pi\)
\(230\) 20.8856 2.27145i 1.37716 0.149775i
\(231\) −11.8949 7.15695i −0.782630 0.470893i
\(232\) −0.307038 + 0.361473i −0.0201580 + 0.0237318i
\(233\) −16.5374 5.57209i −1.08340 0.365040i −0.279708 0.960085i \(-0.590238\pi\)
−0.803692 + 0.595045i \(0.797134\pi\)
\(234\) −9.88527 + 4.57341i −0.646220 + 0.298973i
\(235\) −0.00468418 −0.000305562
\(236\) −9.40003 + 8.21002i −0.611890 + 0.534427i
\(237\) −1.91959 −0.124691
\(238\) 28.8960 13.3687i 1.87305 0.866564i
\(239\) 14.8437 + 5.00143i 0.960160 + 0.323516i 0.755376 0.655292i \(-0.227454\pi\)
0.204784 + 0.978807i \(0.434351\pi\)
\(240\) −4.84561 + 5.70469i −0.312783 + 0.368236i
\(241\) −8.70972 5.24046i −0.561042 0.337568i 0.206621 0.978421i \(-0.433753\pi\)
−0.767664 + 0.640853i \(0.778581\pi\)
\(242\) 31.9845 3.47852i 2.05604 0.223608i
\(243\) 0.0541389 0.998533i 0.00347301 0.0640559i
\(244\) 4.41254 15.8925i 0.282484 1.01742i
\(245\) −0.119445 0.0907996i −0.00763105 0.00580098i
\(246\) 2.47199 + 0.268845i 0.157608 + 0.0171409i
\(247\) 5.18674 31.6377i 0.330024 2.01306i
\(248\) −6.26681 + 3.77061i −0.397943 + 0.239434i
\(249\) −4.41591 + 3.35689i −0.279847 + 0.212734i
\(250\) −8.42575 21.1470i −0.532891 1.33746i
\(251\) 6.67424 + 7.85753i 0.421275 + 0.495963i 0.931329 0.364180i \(-0.118651\pi\)
−0.510054 + 0.860142i \(0.670375\pi\)
\(252\) 0.690880 + 4.21418i 0.0435213 + 0.265468i
\(253\) −1.94327 35.8416i −0.122173 2.25334i
\(254\) −1.85065 0.407358i −0.116120 0.0255599i
\(255\) −7.50074 + 7.10508i −0.469714 + 0.444937i
\(256\) −19.1690 + 6.45879i −1.19806 + 0.403674i
\(257\) −4.81727 + 12.0904i −0.300493 + 0.754180i 0.698753 + 0.715363i \(0.253738\pi\)
−0.999246 + 0.0388178i \(0.987641\pi\)
\(258\) 0.721593 + 2.59894i 0.0449244 + 0.161803i
\(259\) −2.06494 + 0.454529i −0.128309 + 0.0282430i
\(260\) −8.47036 + 12.4928i −0.525309 + 0.774773i
\(261\) −0.311017 0.586641i −0.0192515 0.0363122i
\(262\) 5.34599 10.0836i 0.330276 0.622967i
\(263\) −5.40889 7.97752i −0.333527 0.491915i 0.623537 0.781794i \(-0.285695\pi\)
−0.957063 + 0.289879i \(0.906385\pi\)
\(264\) 2.73900 + 2.59452i 0.168574 + 0.159682i
\(265\) 5.25999 + 2.43353i 0.323119 + 0.149491i
\(266\) −25.4503 11.7745i −1.56046 0.721944i
\(267\) −10.7958 10.2263i −0.660692 0.625841i
\(268\) −0.459266 0.677366i −0.0280541 0.0413767i
\(269\) 6.52317 12.3040i 0.397725 0.750189i −0.601074 0.799194i \(-0.705260\pi\)
0.998799 + 0.0490049i \(0.0156050\pi\)
\(270\) −1.44808 2.73137i −0.0881272 0.166226i
\(271\) 1.24867 1.84164i 0.0758510 0.111872i −0.787871 0.615840i \(-0.788817\pi\)
0.863722 + 0.503968i \(0.168127\pi\)
\(272\) −28.6440 + 6.30503i −1.73680 + 0.382299i
\(273\) −4.02249 14.4877i −0.243452 0.876836i
\(274\) −8.30570 + 20.8457i −0.501766 + 1.25934i
\(275\) −11.8297 + 3.98590i −0.713359 + 0.240359i
\(276\) −8.01635 + 7.59349i −0.482528 + 0.457074i
\(277\) 9.38750 + 2.06634i 0.564040 + 0.124155i 0.487832 0.872937i \(-0.337788\pi\)
0.0762077 + 0.997092i \(0.475719\pi\)
\(278\) 0.182662 + 3.36901i 0.0109554 + 0.202060i
\(279\) −1.65653 10.1044i −0.0991740 0.604935i
\(280\) −1.97342 2.32328i −0.117934 0.138843i
\(281\) 0.387909 + 0.973578i 0.0231407 + 0.0580788i 0.940093 0.340918i \(-0.110738\pi\)
−0.916952 + 0.398997i \(0.869358\pi\)
\(282\) 0.00437238 0.00332380i 0.000260372 0.000197929i
\(283\) −25.7590 + 15.4986i −1.53121 + 0.921299i −0.534094 + 0.845425i \(0.679347\pi\)
−0.997117 + 0.0758737i \(0.975825\pi\)
\(284\) 1.25013 7.62545i 0.0741815 0.452487i
\(285\) 9.04632 + 0.983847i 0.535858 + 0.0582781i
\(286\) 45.7995 + 34.8158i 2.70818 + 2.05870i
\(287\) −0.918310 + 3.30745i −0.0542061 + 0.195233i
\(288\) 0.397792 7.33685i 0.0234401 0.432328i
\(289\) −23.3473 + 2.53917i −1.37337 + 0.149363i
\(290\) −1.75888 1.05828i −0.103285 0.0621444i
\(291\) 6.67976 7.86402i 0.391574 0.460997i
\(292\) 11.0249 + 3.71473i 0.645185 + 0.217388i
\(293\) 2.78492 1.28844i 0.162697 0.0752715i −0.336851 0.941558i \(-0.609362\pi\)
0.499547 + 0.866287i \(0.333500\pi\)
\(294\) 0.175924 0.0102601
\(295\) 9.61629 + 7.94274i 0.559882 + 0.462444i
\(296\) 0.574629 0.0333996
\(297\) −4.79373 + 2.21781i −0.278160 + 0.128691i
\(298\) 31.6042 + 10.6487i 1.83078 + 0.616862i
\(299\) 25.1686 29.6308i 1.45554 1.71359i
\(300\) 3.29042 + 1.97978i 0.189973 + 0.114303i
\(301\) −3.70160 + 0.402573i −0.213356 + 0.0232039i
\(302\) −1.19991 + 22.1310i −0.0690469 + 1.27350i
\(303\) 0.532934 1.91945i 0.0306163 0.110270i
\(304\) 20.5649 + 15.6331i 1.17948 + 0.896618i
\(305\) −16.3863 1.78212i −0.938276 0.102044i
\(306\) 1.95984 11.9545i 0.112037 0.683394i
\(307\) −4.20373 + 2.52930i −0.239920 + 0.144355i −0.630436 0.776241i \(-0.717124\pi\)
0.390517 + 0.920596i \(0.372296\pi\)
\(308\) 17.9567 13.6503i 1.02318 0.777800i
\(309\) 6.47669 + 16.2553i 0.368446 + 0.924730i
\(310\) −20.4928 24.1260i −1.16391 1.37026i
\(311\) 3.41796 + 20.8487i 0.193815 + 1.18222i 0.887108 + 0.461563i \(0.152711\pi\)
−0.693293 + 0.720656i \(0.743841\pi\)
\(312\) 0.221228 + 4.08030i 0.0125246 + 0.231002i
\(313\) 18.9256 + 4.16584i 1.06974 + 0.235467i 0.714734 0.699397i \(-0.246548\pi\)
0.355006 + 0.934864i \(0.384479\pi\)
\(314\) 18.5215 17.5445i 1.04523 0.990092i
\(315\) 4.04423 1.36266i 0.227867 0.0767773i
\(316\) 1.15447 2.89749i 0.0649438 0.162997i
\(317\) −4.18629 15.0777i −0.235125 0.846845i −0.983093 0.183110i \(-0.941384\pi\)
0.747967 0.663736i \(-0.231030\pi\)
\(318\) −6.63665 + 1.46084i −0.372165 + 0.0819197i
\(319\) −1.96815 + 2.90280i −0.110195 + 0.162526i
\(320\) −3.62797 6.84308i −0.202810 0.382540i
\(321\) 0.360048 0.679122i 0.0200959 0.0379049i
\(322\) −19.0831 28.1455i −1.06346 1.56849i
\(323\) 25.8871 + 24.5215i 1.44039 + 1.36441i
\(324\) 1.47466 + 0.682250i 0.0819255 + 0.0379028i
\(325\) −12.2710 5.67716i −0.680671 0.314912i
\(326\) −9.21342 8.72742i −0.510284 0.483367i
\(327\) 1.27833 + 1.88539i 0.0706916 + 0.104262i
\(328\) 0.436967 0.824207i 0.0241275 0.0455092i
\(329\) 0.00355139 + 0.00669863i 0.000195795 + 0.000369308i
\(330\) −9.16359 + 13.5153i −0.504439 + 0.743992i
\(331\) 30.5774 6.73060i 1.68069 0.369947i 0.730812 0.682579i \(-0.239142\pi\)
0.949874 + 0.312632i \(0.101211\pi\)
\(332\) −2.41121 8.68439i −0.132332 0.476618i
\(333\) −0.297771 + 0.747350i −0.0163178 + 0.0409545i
\(334\) 21.2235 7.15105i 1.16130 0.391288i
\(335\) −0.593752 + 0.562432i −0.0324401 + 0.0307289i
\(336\) 11.8318 + 2.60438i 0.645478 + 0.142080i
\(337\) 1.18068 + 21.7763i 0.0643155 + 1.18623i 0.835453 + 0.549562i \(0.185205\pi\)
−0.771138 + 0.636669i \(0.780312\pi\)
\(338\) 6.07665 + 37.0659i 0.330526 + 2.01612i
\(339\) −8.55465 10.0713i −0.464625 0.546998i
\(340\) −6.21359 15.5949i −0.336979 0.845754i
\(341\) −43.0551 + 32.7296i −2.33156 + 1.77241i
\(342\) −9.14228 + 5.50073i −0.494358 + 0.297445i
\(343\) −3.01569 + 18.3949i −0.162832 + 0.993232i
\(344\) 1.00599 + 0.109408i 0.0542393 + 0.00589888i
\(345\) 8.78458 + 6.67787i 0.472946 + 0.359524i
\(346\) 9.98413 35.9596i 0.536750 1.93320i
\(347\) 0.966569 17.8273i 0.0518881 0.957021i −0.850467 0.526028i \(-0.823681\pi\)
0.902355 0.430993i \(-0.141837\pi\)
\(348\) 1.07254 0.116646i 0.0574944 0.00625290i
\(349\) 2.55383 + 1.53659i 0.136703 + 0.0822517i 0.582263 0.813001i \(-0.302168\pi\)
−0.445559 + 0.895252i \(0.646995\pi\)
\(350\) −7.65606 + 9.01342i −0.409234 + 0.481787i
\(351\) −5.42140 1.82668i −0.289373 0.0975010i
\(352\) −35.2225 + 16.2957i −1.87737 + 0.868562i
\(353\) 7.97294 0.424357 0.212178 0.977231i \(-0.431944\pi\)
0.212178 + 0.977231i \(0.431944\pi\)
\(354\) −14.6122 0.590517i −0.776630 0.0313856i
\(355\) −7.72217 −0.409850
\(356\) 21.9287 10.1453i 1.16222 0.537699i
\(357\) 15.8475 + 5.33963i 0.838737 + 0.282603i
\(358\) 0.776008 0.913587i 0.0410133 0.0482846i
\(359\) −29.6610 17.8464i −1.56545 0.941897i −0.992492 0.122310i \(-0.960970\pi\)
−0.572954 0.819588i \(-0.694202\pi\)
\(360\) −1.15302 + 0.125399i −0.0607697 + 0.00660910i
\(361\) 0.671614 12.3872i 0.0353481 0.651958i
\(362\) 5.22914 18.8337i 0.274838 0.989875i
\(363\) 13.4528 + 10.2266i 0.706089 + 0.536755i
\(364\) 24.2874 + 2.64141i 1.27301 + 0.138448i
\(365\) 1.88092 11.4731i 0.0984520 0.600531i
\(366\) 16.5601 9.96388i 0.865610 0.520820i
\(367\) −7.22995 + 5.49607i −0.377400 + 0.286892i −0.776628 0.629960i \(-0.783071\pi\)
0.399228 + 0.916852i \(0.369278\pi\)
\(368\) 11.5947 + 29.1005i 0.604415 + 1.51697i
\(369\) 0.845511 + 0.995412i 0.0440155 + 0.0518191i
\(370\) 0.402362 + 2.45430i 0.0209178 + 0.127593i
\(371\) −0.507870 9.36711i −0.0263673 0.486316i
\(372\) 16.2482 + 3.57649i 0.842428 + 0.185433i
\(373\) 1.30253 1.23382i 0.0674424 0.0638849i −0.653236 0.757154i \(-0.726589\pi\)
0.720678 + 0.693269i \(0.243830\pi\)
\(374\) −60.6360 + 20.4307i −3.13541 + 1.05644i
\(375\) 4.42552 11.1072i 0.228533 0.573575i
\(376\) −0.000551249 0.00198542i −2.84285e−5 0.000102390i
\(377\) −3.70978 + 0.816583i −0.191063 + 0.0420562i
\(378\) −2.80812 + 4.14166i −0.144434 + 0.213024i
\(379\) 13.7454 + 25.9266i 0.706056 + 1.33176i 0.933714 + 0.358021i \(0.116548\pi\)
−0.227658 + 0.973741i \(0.573107\pi\)
\(380\) −6.92563 + 13.0631i −0.355277 + 0.670124i
\(381\) −0.558549 0.823798i −0.0286153 0.0422044i
\(382\) −1.48419 1.40590i −0.0759376 0.0719319i
\(383\) −7.16175 3.31338i −0.365948 0.169306i 0.228293 0.973592i \(-0.426686\pi\)
−0.594241 + 0.804287i \(0.702548\pi\)
\(384\) −5.09486 2.35713i −0.259996 0.120287i
\(385\) −16.3648 15.5016i −0.834029 0.790034i
\(386\) 3.70176 + 5.45969i 0.188415 + 0.277891i
\(387\) −0.663596 + 1.25167i −0.0337325 + 0.0636262i
\(388\) 7.85291 + 14.8122i 0.398671 + 0.751974i
\(389\) 4.61136 6.80124i 0.233805 0.344837i −0.692629 0.721294i \(-0.743548\pi\)
0.926434 + 0.376458i \(0.122858\pi\)
\(390\) −17.2725 + 3.80196i −0.874627 + 0.192520i
\(391\) 11.5678 + 41.6634i 0.585008 + 2.10701i
\(392\) 0.0244294 0.0613131i 0.00123387 0.00309678i
\(393\) 5.68079 1.91408i 0.286558 0.0965527i
\(394\) −6.18709 + 5.86073i −0.311701 + 0.295259i
\(395\) −3.04409 0.670055i −0.153165 0.0337141i
\(396\) −0.464632 8.56963i −0.0233486 0.430640i
\(397\) −3.70505 22.5998i −0.185951 1.13425i −0.900561 0.434729i \(-0.856844\pi\)
0.714610 0.699523i \(-0.246604\pi\)
\(398\) −25.9517 30.5528i −1.30084 1.53147i
\(399\) −5.45167 13.6827i −0.272925 0.684990i
\(400\) 8.67281 6.59290i 0.433641 0.329645i
\(401\) 5.72522 3.44475i 0.285904 0.172023i −0.365376 0.930860i \(-0.619060\pi\)
0.651280 + 0.758837i \(0.274232\pi\)
\(402\) 0.155139 0.946308i 0.00773765 0.0471976i
\(403\) −58.2342 6.33335i −2.90085 0.315487i
\(404\) 2.57677 + 1.95881i 0.128199 + 0.0974546i
\(405\) 0.434403 1.56458i 0.0215857 0.0777446i
\(406\) −0.179878 + 3.31765i −0.00892717 + 0.164652i
\(407\) 4.22432 0.459422i 0.209392 0.0227727i
\(408\) −3.89425 2.34309i −0.192794 0.116000i
\(409\) 10.5101 12.3735i 0.519693 0.611830i −0.438227 0.898864i \(-0.644393\pi\)
0.957920 + 0.287034i \(0.0926692\pi\)
\(410\) 3.82624 + 1.28921i 0.188965 + 0.0636696i
\(411\) −10.6967 + 4.94884i −0.527631 + 0.244108i
\(412\) −28.4314 −1.40071
\(413\) 4.06780 19.7738i 0.200163 0.973003i
\(414\) −12.9383 −0.635884
\(415\) −8.17452 + 3.78194i −0.401272 + 0.185648i
\(416\) −39.8344 13.4218i −1.95304 0.658056i
\(417\) −1.14725 + 1.35065i −0.0561812 + 0.0661416i
\(418\) 48.2887 + 29.0543i 2.36188 + 1.42109i
\(419\) 4.63138 0.503693i 0.226258 0.0246070i 0.00571211 0.999984i \(-0.498182\pi\)
0.220545 + 0.975377i \(0.429216\pi\)
\(420\) −0.375409 + 6.92402i −0.0183181 + 0.337858i
\(421\) 5.28646 19.0401i 0.257646 0.927958i −0.715660 0.698449i \(-0.753874\pi\)
0.973306 0.229509i \(-0.0737122\pi\)
\(422\) −1.72153 1.30867i −0.0838028 0.0637052i
\(423\) 0.00286785 0.000311898i 0.000139440 1.51650e-5i
\(424\) −0.412456 + 2.51587i −0.0200306 + 0.122181i
\(425\) 12.8852 7.75274i 0.625022 0.376063i
\(426\) 7.20815 5.47949i 0.349236 0.265482i
\(427\) 9.87502 + 24.7844i 0.477885 + 1.19940i
\(428\) 0.808552 + 0.951901i 0.0390828 + 0.0460119i
\(429\) 4.88858 + 29.8190i 0.236023 + 1.43968i
\(430\) 0.237113 + 4.37329i 0.0114346 + 0.210899i
\(431\) −11.1243 2.44865i −0.535839 0.117947i −0.0611965 0.998126i \(-0.519492\pi\)
−0.474643 + 0.880179i \(0.657423\pi\)
\(432\) 3.34654 3.17001i 0.161010 0.152517i
\(433\) 7.76817 2.61740i 0.373314 0.125784i −0.126389 0.991981i \(-0.540339\pi\)
0.499704 + 0.866196i \(0.333442\pi\)
\(434\) −18.9645 + 47.5973i −0.910325 + 2.28474i
\(435\) −0.288438 1.03886i −0.0138296 0.0498096i
\(436\) −3.61467 + 0.795649i −0.173111 + 0.0381047i
\(437\) 21.3719 31.5212i 1.02236 1.50787i
\(438\) 6.38537 + 12.0441i 0.305105 + 0.575489i
\(439\) −12.6119 + 23.7885i −0.601932 + 1.13536i 0.376035 + 0.926606i \(0.377287\pi\)
−0.977967 + 0.208759i \(0.933058\pi\)
\(440\) 3.43787 + 5.07048i 0.163894 + 0.241726i
\(441\) 0.0670833 + 0.0635446i 0.00319444 + 0.00302594i
\(442\) −62.8978 29.0996i −2.99174 1.38413i
\(443\) 3.36972 + 1.55900i 0.160100 + 0.0740703i 0.498303 0.867003i \(-0.333957\pi\)
−0.338202 + 0.941073i \(0.609819\pi\)
\(444\) −0.948990 0.898931i −0.0450371 0.0426614i
\(445\) −13.5504 19.9853i −0.642350 0.947396i
\(446\) 4.36334 8.23012i 0.206610 0.389708i
\(447\) 8.20495 + 15.4762i 0.388081 + 0.731998i
\(448\) −7.03537 + 10.3764i −0.332390 + 0.490239i
\(449\) −2.56484 + 0.564564i −0.121042 + 0.0266434i −0.275078 0.961422i \(-0.588704\pi\)
0.154036 + 0.988065i \(0.450773\pi\)
\(450\) 1.20378 + 4.33564i 0.0567469 + 0.204384i
\(451\) 2.55335 6.40842i 0.120233 0.301761i
\(452\) 20.3468 6.85565i 0.957034 0.322462i
\(453\) −8.45139 + 8.00558i −0.397081 + 0.376135i
\(454\) −9.56220 2.10480i −0.448776 0.0987831i
\(455\) −1.32178 24.3787i −0.0619659 1.14289i
\(456\) 0.647590 + 3.95013i 0.0303262 + 0.184982i
\(457\) 21.1622 + 24.9141i 0.989926 + 1.16543i 0.986220 + 0.165438i \(0.0529037\pi\)
0.00370580 + 0.999993i \(0.498820\pi\)
\(458\) −20.4035 51.2088i −0.953391 2.39283i
\(459\) 5.06536 3.85059i 0.236431 0.179730i
\(460\) −15.3629 + 9.24358i −0.716301 + 0.430984i
\(461\) −3.55999 + 21.7150i −0.165805 + 1.01137i 0.764512 + 0.644610i \(0.222980\pi\)
−0.930317 + 0.366757i \(0.880468\pi\)
\(462\) 26.2751 + 2.85759i 1.22243 + 0.132947i
\(463\) −7.09217 5.39133i −0.329601 0.250556i 0.427265 0.904127i \(-0.359477\pi\)
−0.756866 + 0.653570i \(0.773270\pi\)
\(464\) 0.818826 2.94914i 0.0380130 0.136911i
\(465\) 0.900125 16.6018i 0.0417423 0.769891i
\(466\) 33.0300 3.59222i 1.53008 0.166407i
\(467\) −15.1637 9.12368i −0.701691 0.422194i 0.119510 0.992833i \(-0.461868\pi\)
−0.821201 + 0.570639i \(0.806695\pi\)
\(468\) 6.01775 7.08464i 0.278171 0.327488i
\(469\) 1.25447 + 0.422681i 0.0579261 + 0.0195176i
\(470\) 0.00809395 0.00374466i 0.000373346 0.000172728i
\(471\) 13.3998 0.617429
\(472\) −2.23491 + 5.01066i −0.102870 + 0.230634i
\(473\) 7.48289 0.344064
\(474\) 3.31692 1.53457i 0.152351 0.0704852i
\(475\) −12.5512 4.22900i −0.575890 0.194040i
\(476\) −17.5907 + 20.7093i −0.806268 + 0.949211i
\(477\) −3.05835 1.84015i −0.140032 0.0842547i
\(478\) −29.6472 + 3.22433i −1.35603 + 0.147477i
\(479\) −0.921841 + 17.0024i −0.0421200 + 0.776857i 0.898827 + 0.438304i \(0.144421\pi\)
−0.940947 + 0.338554i \(0.890062\pi\)
\(480\) 3.19183 11.4959i 0.145687 0.524716i
\(481\) 3.66391 + 2.78523i 0.167060 + 0.126996i
\(482\) 19.2392 + 2.09239i 0.876320 + 0.0953056i
\(483\) 2.88953 17.6254i 0.131478 0.801982i
\(484\) −23.5270 + 14.1557i −1.06941 + 0.643441i
\(485\) 13.3378 10.1391i 0.605638 0.460394i
\(486\) 0.704706 + 1.76868i 0.0319661 + 0.0802289i
\(487\) −22.9919 27.0681i −1.04186 1.22657i −0.973446 0.228916i \(-0.926482\pi\)
−0.0684139 0.997657i \(-0.521794\pi\)
\(488\) −1.17303 7.15516i −0.0531005 0.323899i
\(489\) −0.360872 6.65588i −0.0163192 0.300989i
\(490\) 0.278980 + 0.0614082i 0.0126030 + 0.00277414i
\(491\) 16.5239 15.6523i 0.745714 0.706378i −0.217218 0.976123i \(-0.569698\pi\)
0.962932 + 0.269745i \(0.0869396\pi\)
\(492\) −2.01101 + 0.677588i −0.0906633 + 0.0305480i
\(493\) 1.56376 3.92475i 0.0704283 0.176762i
\(494\) 16.3297 + 58.8142i 0.734707 + 2.64618i
\(495\) −8.37606 + 1.84371i −0.376476 + 0.0828686i
\(496\) 26.4874 39.0660i 1.18932 1.75411i
\(497\) 5.85469 + 11.0431i 0.262619 + 0.495352i
\(498\) 4.94681 9.33067i 0.221672 0.418117i
\(499\) 17.0567 + 25.1568i 0.763564 + 1.12617i 0.988414 + 0.151779i \(0.0485001\pi\)
−0.224851 + 0.974393i \(0.572190\pi\)
\(500\) 14.1040 + 13.3601i 0.630752 + 0.597480i
\(501\) 10.6760 + 4.93923i 0.476967 + 0.220668i
\(502\) −17.8142 8.24171i −0.795085 0.367845i
\(503\) 28.8898 + 27.3658i 1.28813 + 1.22018i 0.961428 + 0.275056i \(0.0886963\pi\)
0.326703 + 0.945127i \(0.394062\pi\)
\(504\) 1.05351 + 1.55381i 0.0469271 + 0.0692124i
\(505\) 1.51514 2.85785i 0.0674227 0.127173i
\(506\) 32.0106 + 60.3783i 1.42304 + 2.68414i
\(507\) −11.0713 + 16.3289i −0.491693 + 0.725192i
\(508\) 1.57939 0.347649i 0.0700739 0.0154244i
\(509\) −0.696584 2.50887i −0.0308755 0.111204i 0.946507 0.322684i \(-0.104585\pi\)
−0.977382 + 0.211481i \(0.932171\pi\)
\(510\) 7.28078 18.2734i 0.322398 0.809159i
\(511\) −17.8332 + 6.00872i −0.788896 + 0.265810i
\(512\) 19.8084 18.7635i 0.875415 0.829237i
\(513\) −5.47303 1.20471i −0.241640 0.0531890i
\(514\) −1.34150 24.7425i −0.0591710 1.09135i
\(515\) 4.59666 + 28.0384i 0.202553 + 1.23552i
\(516\) −1.49022 1.75443i −0.0656034 0.0772343i
\(517\) −0.00563981 0.0141549i −0.000248039 0.000622530i
\(518\) 3.20472 2.43617i 0.140807 0.107039i
\(519\) 16.7960 10.1058i 0.737261 0.443595i
\(520\) −1.07345 + 6.54778i −0.0470741 + 0.287139i
\(521\) 4.38588 + 0.476993i 0.192149 + 0.0208974i 0.203687 0.979036i \(-0.434707\pi\)
−0.0115385 + 0.999933i \(0.503673\pi\)
\(522\) 1.00639 + 0.765040i 0.0440486 + 0.0334849i
\(523\) 11.4901 41.3837i 0.502428 1.80958i −0.0801181 0.996785i \(-0.525530\pi\)
0.582546 0.812798i \(-0.302056\pi\)
\(524\) −0.527324 + 9.72593i −0.0230363 + 0.424879i
\(525\) −6.17511 + 0.671584i −0.269504 + 0.0293103i
\(526\) 15.7236 + 9.46060i 0.685584 + 0.412502i
\(527\) 42.1774 49.6551i 1.83728 2.16301i
\(528\) −23.0729 7.77416i −1.00412 0.338327i
\(529\) 21.0389 9.73365i 0.914736 0.423202i
\(530\) −11.0343 −0.479301
\(531\) −5.35863 5.50319i −0.232545 0.238818i
\(532\) 23.9318 1.03757
\(533\) 6.78110 3.13727i 0.293722 0.135890i
\(534\) 26.8296 + 9.03995i 1.16103 + 0.391197i
\(535\) 0.808020 0.951275i 0.0349338 0.0411272i
\(536\) −0.308265 0.185477i −0.0133150 0.00801138i
\(537\) 0.625901 0.0680708i 0.0270096 0.00293747i
\(538\) −1.43545 + 26.4753i −0.0618866 + 1.14143i
\(539\) 0.130569 0.470268i 0.00562401 0.0202559i
\(540\) 2.10037 + 1.59666i 0.0903856 + 0.0687093i
\(541\) −23.6270 2.56959i −1.01581 0.110475i −0.414959 0.909840i \(-0.636204\pi\)
−0.600846 + 0.799365i \(0.705170\pi\)
\(542\) −0.685350 + 4.18045i −0.0294383 + 0.179566i
\(543\) 8.79680 5.29286i 0.377507 0.227138i
\(544\) 37.2184 28.2927i 1.59573 1.21304i
\(545\) 1.36906 + 3.43607i 0.0586439 + 0.147185i
\(546\) 18.5325 + 21.8181i 0.793116 + 0.933728i
\(547\) −3.17222 19.3497i −0.135634 0.827333i −0.963756 0.266785i \(-0.914039\pi\)
0.828122 0.560548i \(-0.189410\pi\)
\(548\) −1.03678 19.1223i −0.0442891 0.816864i
\(549\) 9.91371 + 2.18217i 0.423107 + 0.0931329i
\(550\) 17.2545 16.3444i 0.735736 0.696926i
\(551\) −3.52624 + 1.18813i −0.150223 + 0.0506159i
\(552\) −1.79666 + 4.50928i −0.0764709 + 0.191928i
\(553\) 1.34971 + 4.86123i 0.0573957 + 0.206721i
\(554\) −17.8729 + 3.93411i −0.759345 + 0.167144i
\(555\) −0.733078 + 1.08121i −0.0311174 + 0.0458948i
\(556\) −1.34874 2.54400i −0.0571994 0.107890i
\(557\) −7.55976 + 14.2592i −0.320317 + 0.604182i −0.990420 0.138086i \(-0.955905\pi\)
0.670103 + 0.742268i \(0.266250\pi\)
\(558\) 10.9401 + 16.1354i 0.463132 + 0.683068i
\(559\) 5.88403 + 5.57364i 0.248868 + 0.235740i
\(560\) 17.8538 + 8.26006i 0.754462 + 0.349051i
\(561\) −30.5014 14.1115i −1.28777 0.595786i
\(562\) −1.44858 1.37217i −0.0611049 0.0578816i
\(563\) 5.95906 + 8.78896i 0.251145 + 0.370411i 0.932274 0.361752i \(-0.117821\pi\)
−0.681130 + 0.732163i \(0.738511\pi\)
\(564\) −0.00219555 + 0.00414125i −9.24494e−5 + 0.000174378i
\(565\) −10.0505 18.9572i −0.422827 0.797536i
\(566\) 32.1197 47.3730i 1.35009 1.99124i
\(567\) −2.56678 + 0.564992i −0.107795 + 0.0237274i
\(568\) −0.908769 3.27309i −0.0381311 0.137336i
\(569\) 7.80934 19.6000i 0.327384 0.821673i −0.669501 0.742811i \(-0.733492\pi\)
0.996886 0.0788619i \(-0.0251286\pi\)
\(570\) −16.4179 + 5.53185i −0.687672 + 0.231704i
\(571\) 4.06912 3.85447i 0.170287 0.161305i −0.597810 0.801638i \(-0.703962\pi\)
0.768097 + 0.640333i \(0.221204\pi\)
\(572\) −47.9498 10.5546i −2.00488 0.441308i
\(573\) −0.0581326 1.07219i −0.00242853 0.0447915i
\(574\) −1.05729 6.44917i −0.0441304 0.269183i
\(575\) −10.3976 12.2410i −0.433609 0.510484i
\(576\) 1.76555 + 4.43119i 0.0735645 + 0.184633i
\(577\) −20.1227 + 15.2968i −0.837717 + 0.636816i −0.933496 0.358587i \(-0.883259\pi\)
0.0957795 + 0.995403i \(0.469466\pi\)
\(578\) 38.3126 23.0519i 1.59360 0.958834i
\(579\) −0.560514 + 3.41899i −0.0232942 + 0.142088i
\(580\) 1.74156 + 0.189406i 0.0723144 + 0.00786466i
\(581\) 11.6060 + 8.82268i 0.481499 + 0.366026i
\(582\) −5.25546 + 18.9285i −0.217846 + 0.784610i
\(583\) −1.02066 + 18.8249i −0.0422712 + 0.779647i
\(584\) 5.08431 0.552952i 0.210390 0.0228813i
\(585\) −7.95964 4.78916i −0.329091 0.198007i
\(586\) −3.78214 + 4.45267i −0.156239 + 0.183938i
\(587\) 35.4456 + 11.9430i 1.46300 + 0.492941i 0.934490 0.355989i \(-0.115856\pi\)
0.528506 + 0.848930i \(0.322753\pi\)
\(588\) −0.136261 + 0.0630411i −0.00561931 + 0.00259977i
\(589\) −57.3815 −2.36436
\(590\) −22.9659 6.03700i −0.945493 0.248539i
\(591\) −4.47619 −0.184126
\(592\) −3.36561 + 1.55710i −0.138326 + 0.0639962i
\(593\) 8.60749 + 2.90020i 0.353467 + 0.119097i 0.490433 0.871479i \(-0.336839\pi\)
−0.136966 + 0.990576i \(0.543735\pi\)
\(594\) 6.51026 7.66447i 0.267119 0.314477i
\(595\) 23.2671 + 13.9993i 0.953858 + 0.573917i
\(596\) −28.2948 + 3.07725i −1.15900 + 0.126049i
\(597\) 1.13990 21.0243i 0.0466532 0.860467i
\(598\) −19.8020 + 71.3204i −0.809765 + 2.91651i
\(599\) 28.5102 + 21.6729i 1.16489 + 0.885529i 0.994994 0.0999325i \(-0.0318627\pi\)
0.169899 + 0.985461i \(0.445656\pi\)
\(600\) 1.67822 + 0.182518i 0.0685131 + 0.00745125i
\(601\) −3.10960 + 18.9677i −0.126843 + 0.773709i 0.844417 + 0.535687i \(0.179947\pi\)
−0.971260 + 0.238022i \(0.923501\pi\)
\(602\) 6.07428 3.65477i 0.247569 0.148957i
\(603\) 0.400970 0.304809i 0.0163287 0.0124128i
\(604\) −7.00111 17.5715i −0.284871 0.714973i
\(605\) 17.7638 + 20.9131i 0.722201 + 0.850240i
\(606\) 0.613589 + 3.74273i 0.0249254 + 0.152038i
\(607\) −1.05021 19.3700i −0.0426267 0.786204i −0.939213 0.343335i \(-0.888443\pi\)
0.896586 0.442869i \(-0.146039\pi\)
\(608\) −40.2138 8.85172i −1.63088 0.358985i
\(609\) −1.26694 + 1.20011i −0.0513392 + 0.0486310i
\(610\) 29.7391 10.0203i 1.20410 0.405708i
\(611\) 0.00610852 0.0153312i 0.000247124 0.000620235i
\(612\) 2.76583 + 9.96162i 0.111802 + 0.402675i
\(613\) −16.2652 + 3.58024i −0.656945 + 0.144605i −0.530919 0.847422i \(-0.678153\pi\)
−0.126026 + 0.992027i \(0.540222\pi\)
\(614\) 5.24177 7.73103i 0.211541 0.311999i
\(615\) 0.993353 + 1.87366i 0.0400559 + 0.0755534i
\(616\) 4.64459 8.76062i 0.187136 0.352975i
\(617\) 4.62897 + 6.82722i 0.186355 + 0.274854i 0.909378 0.415971i \(-0.136558\pi\)
−0.723023 + 0.690824i \(0.757248\pi\)
\(618\) −24.1862 22.9104i −0.972911 0.921590i
\(619\) 35.7719 + 16.5499i 1.43780 + 0.665195i 0.975190 0.221369i \(-0.0710526\pi\)
0.462606 + 0.886564i \(0.346915\pi\)
\(620\) 24.5180 + 11.3432i 0.984666 + 0.455555i
\(621\) −4.93364 4.67340i −0.197980 0.187537i
\(622\) −22.5730 33.2927i −0.905094 1.33491i
\(623\) −18.3067 + 34.5300i −0.733441 + 1.38342i
\(624\) −12.3523 23.2989i −0.494488 0.932704i
\(625\) 4.26361 6.28835i 0.170544 0.251534i
\(626\) −36.0325 + 7.93135i −1.44015 + 0.317001i
\(627\) 7.91886 + 28.5211i 0.316249 + 1.13902i
\(628\) −8.05880 + 20.2261i −0.321581 + 0.807108i
\(629\) −4.85082 + 1.63443i −0.193415 + 0.0651691i
\(630\) −5.89882 + 5.58765i −0.235014 + 0.222618i
\(631\) −2.67941 0.589783i −0.106666 0.0234789i 0.161317 0.986903i \(-0.448426\pi\)
−0.267982 + 0.963424i \(0.586357\pi\)
\(632\) −0.0742312 1.36911i −0.00295276 0.0544604i
\(633\) −0.183754 1.12085i −0.00730357 0.0445498i
\(634\) 19.2871 + 22.7065i 0.765989 + 0.901792i
\(635\) −0.598192 1.50135i −0.0237385 0.0595792i
\(636\) 4.61692 3.50969i 0.183073 0.139168i
\(637\) 0.452950 0.272531i 0.0179465 0.0107981i
\(638\) 1.08025 6.58924i 0.0427676 0.260871i
\(639\) 4.72784 + 0.514183i 0.187030 + 0.0203408i
\(640\) −7.25665 5.51637i −0.286844 0.218053i
\(641\) −2.84129 + 10.2334i −0.112224 + 0.404195i −0.998229 0.0594800i \(-0.981056\pi\)
0.886005 + 0.463675i \(0.153470\pi\)
\(642\) −0.0792299 + 1.46131i −0.00312695 + 0.0576733i
\(643\) −37.7866 + 4.10954i −1.49016 + 0.162065i −0.816658 0.577122i \(-0.804176\pi\)
−0.673501 + 0.739186i \(0.735210\pi\)
\(644\) 24.8665 + 14.9617i 0.979878 + 0.589573i
\(645\) −1.48924 + 1.75327i −0.0586389 + 0.0690350i
\(646\) −64.3343 21.6767i −2.53120 0.852860i
\(647\) −2.10322 + 0.973054i −0.0826862 + 0.0382547i −0.460796 0.887506i \(-0.652436\pi\)
0.378110 + 0.925761i \(0.376574\pi\)
\(648\) 0.714279 0.0280595
\(649\) −12.4236 + 38.6221i −0.487669 + 1.51605i
\(650\) 25.7419 1.00968
\(651\) −24.4240 + 11.2997i −0.957250 + 0.442871i
\(652\) 10.2636 + 3.45822i 0.401955 + 0.135434i
\(653\) −13.8811 + 16.3421i −0.543211 + 0.639517i −0.963447 0.267897i \(-0.913671\pi\)
0.420237 + 0.907415i \(0.361947\pi\)
\(654\) −3.71609 2.23590i −0.145311 0.0874306i
\(655\) 9.67675 1.05241i 0.378102 0.0411211i
\(656\) −0.325932 + 6.01146i −0.0127255 + 0.234708i
\(657\) −1.91552 + 6.89909i −0.0747316 + 0.269159i
\(658\) −0.0114916 0.00873571i −0.000447990 0.000340553i
\(659\) 1.42658 + 0.155150i 0.0555716 + 0.00604378i 0.135863 0.990728i \(-0.456619\pi\)
−0.0802910 + 0.996771i \(0.525585\pi\)
\(660\) 2.25451 13.7519i 0.0877568 0.535293i
\(661\) 7.85465 4.72598i 0.305510 0.183819i −0.354540 0.935041i \(-0.615363\pi\)
0.660050 + 0.751221i \(0.270535\pi\)
\(662\) −47.4551 + 36.0744i −1.84439 + 1.40207i
\(663\) −13.4733 33.8153i −0.523258 1.31328i
\(664\) −2.56500 3.01976i −0.0995415 0.117189i
\(665\) −3.86918 23.6010i −0.150040 0.915206i
\(666\) −0.0829225 1.52942i −0.00321318 0.0592637i
\(667\) −4.40676 0.970002i −0.170631 0.0375586i
\(668\) −13.8761 + 13.1441i −0.536882 + 0.508562i
\(669\) 4.63660 1.56225i 0.179261 0.0604001i
\(670\) 0.576340 1.44650i 0.0222660 0.0558834i
\(671\) −14.3440 51.6625i −0.553745 1.99441i
\(672\) −18.8598 + 4.15135i −0.727531 + 0.160142i
\(673\) −24.3515 + 35.9158i −0.938683 + 1.38445i −0.0155896 + 0.999878i \(0.504963\pi\)
−0.923094 + 0.384576i \(0.874348\pi\)
\(674\) −19.4487 36.6841i −0.749135 1.41302i
\(675\) −1.10703 + 2.08808i −0.0426096 + 0.0803702i
\(676\) −17.9890 26.5318i −0.691884 1.02045i
\(677\) −8.33944 7.89954i −0.320511 0.303604i 0.510481 0.859889i \(-0.329468\pi\)
−0.830991 + 0.556285i \(0.812226\pi\)
\(678\) 22.8331 + 10.5637i 0.876901 + 0.405697i
\(679\) −24.6118 11.3866i −0.944514 0.436979i
\(680\) −5.35762 5.07501i −0.205455 0.194618i
\(681\) −2.88599 4.25652i −0.110592 0.163110i
\(682\) 48.2313 90.9739i 1.84687 3.48357i
\(683\) −6.34008 11.9587i −0.242596 0.457585i 0.732076 0.681223i \(-0.238552\pi\)
−0.974672 + 0.223638i \(0.928207\pi\)
\(684\) 5.10997 7.53665i 0.195385 0.288171i
\(685\) −18.6904 + 4.11406i −0.714122 + 0.157190i
\(686\) −9.49447 34.1960i −0.362501 1.30561i
\(687\) 10.7167 26.8968i 0.408867 1.02618i
\(688\) −6.18856 + 2.08517i −0.235937 + 0.0794964i
\(689\) −14.8243 + 14.0423i −0.564762 + 0.534971i
\(690\) −20.5176 4.51627i −0.781093 0.171932i
\(691\) 1.73693 + 32.0357i 0.0660758 + 1.21870i 0.824090 + 0.566459i \(0.191687\pi\)
−0.758014 + 0.652238i \(0.773830\pi\)
\(692\) 5.15271 + 31.4301i 0.195877 + 1.19479i
\(693\) 8.98706 + 10.5804i 0.341390 + 0.401916i
\(694\) 12.5815 + 31.5771i 0.477586 + 1.19865i
\(695\) −2.29078 + 1.74140i −0.0868941 + 0.0660552i
\(696\) 0.406384 0.244513i 0.0154039 0.00926824i
\(697\) −1.34441 + 8.20056i −0.0509233 + 0.310618i
\(698\) −5.64123 0.613521i −0.213524 0.0232221i
\(699\) 13.8925 + 10.5608i 0.525463 + 0.399447i
\(700\) 2.70008 9.72481i 0.102053 0.367563i
\(701\) 1.27636 23.5410i 0.0482073 0.889132i −0.870005 0.493043i \(-0.835884\pi\)
0.918212 0.396089i \(-0.129633\pi\)
\(702\) 10.8281 1.17763i 0.408681 0.0444467i
\(703\) 3.86304 + 2.32432i 0.145697 + 0.0876632i
\(704\) 16.3106 19.2023i 0.614729 0.723715i
\(705\) 0.00443898 + 0.00149567i 0.000167182 + 5.63300e-5i
\(706\) −13.7767 + 6.37378i −0.518493 + 0.239880i
\(707\) −5.23561 −0.196905
\(708\) 11.5294 4.77880i 0.433303 0.179598i
\(709\) 37.9623 1.42570 0.712851 0.701315i \(-0.247403\pi\)
0.712851 + 0.701315i \(0.247403\pi\)
\(710\) 13.3434 6.17330i 0.500768 0.231680i
\(711\) 1.81911 + 0.612928i 0.0682218 + 0.0229866i
\(712\) 6.87626 8.09536i 0.257699 0.303387i
\(713\) −59.6228 35.8738i −2.23289 1.34349i
\(714\) −31.6520 + 3.44236i −1.18455 + 0.128827i
\(715\) −2.65635 + 48.9935i −0.0993419 + 1.83225i
\(716\) −0.273676 + 0.985693i −0.0102278 + 0.0368371i
\(717\) −12.4697 9.47924i −0.465690 0.354009i
\(718\) 65.5190 + 7.12562i 2.44515 + 0.265926i
\(719\) −5.68945 + 34.7041i −0.212181 + 1.29424i 0.638933 + 0.769262i \(0.279376\pi\)
−0.851114 + 0.524982i \(0.824072\pi\)
\(720\) 6.41348 3.85886i 0.239016 0.143811i
\(721\) 36.6114 27.8313i 1.36348 1.03649i
\(722\) 8.74215 + 21.9411i 0.325349 + 0.816565i
\(723\) 6.58051 + 7.74717i 0.244732 + 0.288120i
\(724\) 2.69871 + 16.4614i 0.100297 + 0.611782i
\(725\) 0.0849579 + 1.56696i 0.00315526 + 0.0581953i
\(726\) −31.4209 6.91626i −1.16614 0.256687i
\(727\) −10.7123 + 10.1472i −0.397297 + 0.376340i −0.860104 0.510119i \(-0.829601\pi\)
0.462806 + 0.886459i \(0.346843\pi\)
\(728\) 10.1775 3.42921i 0.377205 0.127095i
\(729\) −0.370138 + 0.928977i −0.0137088 + 0.0344065i
\(730\) 5.92181 + 21.3284i 0.219176 + 0.789401i
\(731\) −8.80342 + 1.93778i −0.325606 + 0.0716713i
\(732\) −9.25608 + 13.6517i −0.342114 + 0.504581i
\(733\) −1.73545 3.27340i −0.0641003 0.120906i 0.849391 0.527764i \(-0.176969\pi\)
−0.913492 + 0.406858i \(0.866624\pi\)
\(734\) 8.09917 15.2766i 0.298946 0.563871i
\(735\) 0.0841998 + 0.124185i 0.00310576 + 0.00458065i
\(736\) −36.2506 34.3384i −1.33621 1.26573i
\(737\) −2.41447 1.11705i −0.0889380 0.0411471i
\(738\) −2.25675 1.04408i −0.0830719 0.0384332i
\(739\) 38.0493 + 36.0422i 1.39967 + 1.32583i 0.882785 + 0.469778i \(0.155666\pi\)
0.516882 + 0.856057i \(0.327093\pi\)
\(740\) −1.19113 1.75678i −0.0437868 0.0645807i
\(741\) −15.0172 + 28.3254i −0.551670 + 1.04056i
\(742\) 8.36588 + 15.7797i 0.307121 + 0.579292i
\(743\) −16.1389 + 23.8031i −0.592078 + 0.873250i −0.999195 0.0401266i \(-0.987224\pi\)
0.407117 + 0.913376i \(0.366534\pi\)
\(744\) 7.14272 1.57223i 0.261865 0.0576408i
\(745\) 7.60930 + 27.4062i 0.278783 + 1.00409i
\(746\) −1.26433 + 3.17324i −0.0462905 + 0.116180i
\(747\) 5.25661 1.77116i 0.192329 0.0648033i
\(748\) 39.6442 37.5530i 1.44954 1.37307i
\(749\) −1.97299 0.434288i −0.0720915 0.0158685i
\(750\) 1.23241 + 22.7304i 0.0450012 + 0.829998i
\(751\) −5.28770 32.2536i −0.192951 1.17695i −0.888640 0.458606i \(-0.848349\pi\)
0.695689 0.718343i \(-0.255099\pi\)
\(752\) 0.00860866 + 0.0101349i 0.000313925 + 0.000369582i
\(753\) −3.81595 9.57731i −0.139061 0.349016i
\(754\) 5.75744 4.37669i 0.209674 0.159390i
\(755\) −16.1967 + 9.74522i −0.589458 + 0.354665i
\(756\) 0.690880 4.21418i 0.0251271 0.153268i
\(757\) 12.6571 + 1.37654i 0.460029 + 0.0500312i 0.335200 0.942147i \(-0.391196\pi\)
0.124829 + 0.992178i \(0.460162\pi\)
\(758\) −44.4776 33.8110i −1.61550 1.22807i
\(759\) −9.60272 + 34.5859i −0.348557 + 1.25539i
\(760\) −0.351887 + 6.49017i −0.0127643 + 0.235423i
\(761\) −44.9031 + 4.88351i −1.62774 + 0.177027i −0.875957 0.482389i \(-0.839769\pi\)
−0.751779 + 0.659415i \(0.770804\pi\)
\(762\) 1.62370 + 0.976948i 0.0588205 + 0.0353911i
\(763\) 3.87580 4.56294i 0.140313 0.165190i
\(764\) 1.65337 + 0.557084i 0.0598167 + 0.0201546i
\(765\) 9.37676 4.33815i 0.339017 0.156846i
\(766\) 15.0238 0.542833
\(767\) −38.5368 + 21.1160i −1.39148 + 0.762455i
\(768\) 20.2279 0.729910
\(769\) 8.11071 3.75241i 0.292480 0.135315i −0.268162 0.963374i \(-0.586416\pi\)
0.560642 + 0.828058i \(0.310554\pi\)
\(770\) 40.6697 + 13.7032i 1.46563 + 0.493830i
\(771\) 8.42559 9.91938i 0.303440 0.357238i
\(772\) −4.82363 2.90228i −0.173606 0.104455i