Properties

Label 76.2.f.a.31.6
Level $76$
Weight $2$
Character 76.31
Analytic conductor $0.607$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + 12 x^{7} + 12 x^{6} - 72 x^{5} + 192 x^{4} - 288 x^{3} + 384 x^{2} - 384 x + 256\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 31.6
Root \(-1.35532 + 0.403874i\) of defining polynomial
Character \(\chi\) \(=\) 76.31
Dual form 76.2.f.a.27.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.327894 - 1.37568i) q^{2} +(1.42689 + 2.47144i) q^{3} +(-1.78497 - 0.902152i) q^{4} +(-0.139977 - 0.242447i) q^{5} +(3.86777 - 1.15256i) q^{6} -1.55280i q^{7} +(-1.82635 + 2.15973i) q^{8} +(-2.57201 + 4.45486i) q^{9} +O(q^{10})\) \(q+(0.327894 - 1.37568i) q^{2} +(1.42689 + 2.47144i) q^{3} +(-1.78497 - 0.902152i) q^{4} +(-0.139977 - 0.242447i) q^{5} +(3.86777 - 1.15256i) q^{6} -1.55280i q^{7} +(-1.82635 + 2.15973i) q^{8} +(-2.57201 + 4.45486i) q^{9} +(-0.379427 + 0.113066i) q^{10} -2.44102i q^{11} +(-0.317338 - 5.69872i) q^{12} +(-5.47527 - 3.16115i) q^{13} +(-2.13615 - 0.509153i) q^{14} +(0.399463 - 0.691890i) q^{15} +(2.37224 + 3.22063i) q^{16} +(2.18321 + 3.78143i) q^{17} +(5.28509 + 4.99898i) q^{18} +(-3.17111 + 2.99066i) q^{19} +(0.0311307 + 0.559042i) q^{20} +(3.83765 - 2.21567i) q^{21} +(-3.35805 - 0.800394i) q^{22} +(5.71910 + 3.30192i) q^{23} +(-7.94365 - 1.43202i) q^{24} +(2.46081 - 4.26225i) q^{25} +(-6.14402 + 6.49568i) q^{26} -6.11856 q^{27} +(-1.40086 + 2.77170i) q^{28} +(0.695180 + 0.401362i) q^{29} +(-0.820836 - 0.776398i) q^{30} -1.42017 q^{31} +(5.20839 - 2.20742i) q^{32} +(6.03282 - 3.48305i) q^{33} +(5.91789 - 1.76348i) q^{34} +(-0.376472 + 0.217356i) q^{35} +(8.60992 - 5.63144i) q^{36} -4.74916i q^{37} +(3.07439 + 5.34304i) q^{38} -18.0424i q^{39} +(0.779269 + 0.140481i) q^{40} +(-5.84961 + 3.37728i) q^{41} +(-1.78970 - 6.00586i) q^{42} +(0.146372 - 0.0845082i) q^{43} +(-2.20217 + 4.35714i) q^{44} +1.44009 q^{45} +(6.41763 - 6.78495i) q^{46} +(1.19839 + 0.691890i) q^{47} +(-4.57467 + 10.4583i) q^{48} +4.58882 q^{49} +(-5.05660 - 4.78285i) q^{50} +(-6.23039 + 10.7914i) q^{51} +(6.92136 + 10.5821i) q^{52} +(4.25758 + 2.45811i) q^{53} +(-2.00624 + 8.41716i) q^{54} +(-0.591818 + 0.341686i) q^{55} +(3.35363 + 2.83595i) q^{56} +(-11.9161 - 3.56988i) q^{57} +(0.780090 - 0.824738i) q^{58} +(1.05042 + 1.81937i) q^{59} +(-1.33722 + 0.874628i) q^{60} +(-1.58007 + 2.73676i) q^{61} +(-0.465666 + 1.95370i) q^{62} +(6.91749 + 3.99381i) q^{63} +(-1.32889 - 7.88886i) q^{64} +1.76995i q^{65} +(-2.81343 - 9.44129i) q^{66} +(-1.00443 + 1.73973i) q^{67} +(-0.485543 - 8.71934i) q^{68} +18.8459i q^{69} +(0.175569 + 0.589173i) q^{70} +(-1.74422 - 3.02109i) q^{71} +(-4.92390 - 13.6910i) q^{72} +(-5.43844 - 9.41965i) q^{73} +(-6.53331 - 1.55722i) q^{74} +14.0452 q^{75} +(8.35837 - 2.47742i) q^{76} -3.79040 q^{77} +(-24.8205 - 5.91599i) q^{78} +(3.00015 + 5.19641i) q^{79} +(0.448774 - 1.02596i) q^{80} +(-1.01446 - 1.75709i) q^{81} +(2.72799 + 9.15456i) q^{82} -9.99393i q^{83} +(-8.84895 + 0.492761i) q^{84} +(0.611199 - 1.05863i) q^{85} +(-0.0682613 - 0.229071i) q^{86} +2.29079i q^{87} +(5.27194 + 4.45815i) q^{88} +(7.76733 + 4.48447i) q^{89} +(0.472197 - 1.98110i) q^{90} +(-4.90862 + 8.50198i) q^{91} +(-7.22959 - 11.0533i) q^{92} +(-2.02642 - 3.50987i) q^{93} +(1.34476 - 1.42173i) q^{94} +(1.16896 + 0.350204i) q^{95} +(12.8873 + 9.72249i) q^{96} +(-1.77525 + 1.02494i) q^{97} +(1.50465 - 6.31273i) q^{98} +(10.8744 + 6.27832i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 3q^{2} - 3q^{4} - 2q^{5} + 5q^{6} - 4q^{9} + O(q^{10}) \) \( 16q - 3q^{2} - 3q^{4} - 2q^{5} + 5q^{6} - 4q^{9} - 6q^{10} - 18q^{13} - 6q^{14} - 3q^{16} + 2q^{17} + 4q^{20} + 3q^{22} - 23q^{24} - 2q^{25} - 24q^{26} - 4q^{28} - 6q^{29} + 28q^{30} + 27q^{32} + 18q^{33} + 36q^{34} + 14q^{36} - 24q^{38} + 48q^{40} - 48q^{41} + 28q^{42} - 25q^{44} + 24q^{45} + 9q^{48} + 16q^{49} + 6q^{52} + 6q^{53} + 17q^{54} - 26q^{57} - 40q^{58} - 6q^{60} - 26q^{61} + 32q^{62} - 18q^{64} + 5q^{66} - 36q^{68} - 54q^{70} - 66q^{72} + 16q^{73} - 2q^{74} + 43q^{76} + 80q^{77} - 84q^{78} - 30q^{80} + 12q^{81} + 11q^{82} + 14q^{85} - 48q^{86} + 18q^{89} - 18q^{90} - 52q^{92} - 20q^{93} + 46q^{96} - 12q^{97} + 51q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.327894 1.37568i 0.231856 0.972750i
\(3\) 1.42689 + 2.47144i 0.823814 + 1.42689i 0.902823 + 0.430013i \(0.141491\pi\)
−0.0790092 + 0.996874i \(0.525176\pi\)
\(4\) −1.78497 0.902152i −0.892486 0.451076i
\(5\) −0.139977 0.242447i −0.0625997 0.108426i 0.833027 0.553232i \(-0.186606\pi\)
−0.895627 + 0.444806i \(0.853272\pi\)
\(6\) 3.86777 1.15256i 1.57901 0.470532i
\(7\) 1.55280i 0.586902i −0.955974 0.293451i \(-0.905196\pi\)
0.955974 0.293451i \(-0.0948038\pi\)
\(8\) −1.82635 + 2.15973i −0.645712 + 0.763581i
\(9\) −2.57201 + 4.45486i −0.857337 + 1.48495i
\(10\) −0.379427 + 0.113066i −0.119985 + 0.0357547i
\(11\) 2.44102i 0.735994i −0.929827 0.367997i \(-0.880044\pi\)
0.929827 0.367997i \(-0.119956\pi\)
\(12\) −0.317338 5.69872i −0.0916075 1.64508i
\(13\) −5.47527 3.16115i −1.51857 0.876745i −0.999761 0.0218524i \(-0.993044\pi\)
−0.518805 0.854892i \(-0.673623\pi\)
\(14\) −2.13615 0.509153i −0.570909 0.136077i
\(15\) 0.399463 0.691890i 0.103141 0.178645i
\(16\) 2.37224 + 3.22063i 0.593061 + 0.805157i
\(17\) 2.18321 + 3.78143i 0.529507 + 0.917132i 0.999408 + 0.0344132i \(0.0109562\pi\)
−0.469901 + 0.882719i \(0.655710\pi\)
\(18\) 5.28509 + 4.99898i 1.24571 + 1.17827i
\(19\) −3.17111 + 2.99066i −0.727503 + 0.686105i
\(20\) 0.0311307 + 0.559042i 0.00696104 + 0.125006i
\(21\) 3.83765 2.21567i 0.837443 0.483498i
\(22\) −3.35805 0.800394i −0.715938 0.170645i
\(23\) 5.71910 + 3.30192i 1.19251 + 0.688498i 0.958876 0.283825i \(-0.0916036\pi\)
0.233638 + 0.972324i \(0.424937\pi\)
\(24\) −7.94365 1.43202i −1.62149 0.292310i
\(25\) 2.46081 4.26225i 0.492163 0.852451i
\(26\) −6.14402 + 6.49568i −1.20494 + 1.27391i
\(27\) −6.11856 −1.17752
\(28\) −1.40086 + 2.77170i −0.264737 + 0.523802i
\(29\) 0.695180 + 0.401362i 0.129092 + 0.0745311i 0.563155 0.826351i \(-0.309587\pi\)
−0.434064 + 0.900882i \(0.642921\pi\)
\(30\) −0.820836 0.776398i −0.149863 0.141750i
\(31\) −1.42017 −0.255070 −0.127535 0.991834i \(-0.540707\pi\)
−0.127535 + 0.991834i \(0.540707\pi\)
\(32\) 5.20839 2.20742i 0.920722 0.390220i
\(33\) 6.03282 3.48305i 1.05018 0.606322i
\(34\) 5.91789 1.76348i 1.01491 0.302435i
\(35\) −0.376472 + 0.217356i −0.0636353 + 0.0367399i
\(36\) 8.60992 5.63144i 1.43499 0.938574i
\(37\) 4.74916i 0.780757i −0.920654 0.390379i \(-0.872344\pi\)
0.920654 0.390379i \(-0.127656\pi\)
\(38\) 3.07439 + 5.34304i 0.498732 + 0.866756i
\(39\) 18.0424i 2.88910i
\(40\) 0.779269 + 0.140481i 0.123213 + 0.0222120i
\(41\) −5.84961 + 3.37728i −0.913556 + 0.527442i −0.881574 0.472047i \(-0.843515\pi\)
−0.0319825 + 0.999488i \(0.510182\pi\)
\(42\) −1.78970 6.00586i −0.276156 0.926724i
\(43\) 0.146372 0.0845082i 0.0223216 0.0128874i −0.488798 0.872397i \(-0.662564\pi\)
0.511119 + 0.859510i \(0.329231\pi\)
\(44\) −2.20217 + 4.35714i −0.331989 + 0.656864i
\(45\) 1.44009 0.214676
\(46\) 6.41763 6.78495i 0.946228 1.00039i
\(47\) 1.19839 + 0.691890i 0.174803 + 0.100923i 0.584849 0.811142i \(-0.301154\pi\)
−0.410046 + 0.912065i \(0.634487\pi\)
\(48\) −4.57467 + 10.4583i −0.660297 + 1.50953i
\(49\) 4.58882 0.655546
\(50\) −5.05660 4.78285i −0.715111 0.676397i
\(51\) −6.23039 + 10.7914i −0.872429 + 1.51109i
\(52\) 6.92136 + 10.5821i 0.959820 + 1.46747i
\(53\) 4.25758 + 2.45811i 0.584823 + 0.337648i 0.763048 0.646342i \(-0.223702\pi\)
−0.178225 + 0.983990i \(0.557035\pi\)
\(54\) −2.00624 + 8.41716i −0.273014 + 1.14543i
\(55\) −0.591818 + 0.341686i −0.0798007 + 0.0460730i
\(56\) 3.35363 + 2.83595i 0.448147 + 0.378970i
\(57\) −11.9161 3.56988i −1.57832 0.472842i
\(58\) 0.780090 0.824738i 0.102431 0.108293i
\(59\) 1.05042 + 1.81937i 0.136752 + 0.236862i 0.926266 0.376872i \(-0.123000\pi\)
−0.789513 + 0.613734i \(0.789667\pi\)
\(60\) −1.33722 + 0.874628i −0.172634 + 0.112914i
\(61\) −1.58007 + 2.73676i −0.202307 + 0.350406i −0.949271 0.314458i \(-0.898177\pi\)
0.746964 + 0.664864i \(0.231511\pi\)
\(62\) −0.465666 + 1.95370i −0.0591396 + 0.248120i
\(63\) 6.91749 + 3.99381i 0.871521 + 0.503173i
\(64\) −1.32889 7.88886i −0.166112 0.986107i
\(65\) 1.76995i 0.219536i
\(66\) −2.81343 9.44129i −0.346309 1.16214i
\(67\) −1.00443 + 1.73973i −0.122711 + 0.212542i −0.920836 0.389950i \(-0.872492\pi\)
0.798125 + 0.602492i \(0.205825\pi\)
\(68\) −0.485543 8.71934i −0.0588808 1.05737i
\(69\) 18.8459i 2.26878i
\(70\) 0.175569 + 0.589173i 0.0209845 + 0.0704196i
\(71\) −1.74422 3.02109i −0.207001 0.358537i 0.743767 0.668439i \(-0.233037\pi\)
−0.950769 + 0.309902i \(0.899704\pi\)
\(72\) −4.92390 13.6910i −0.580288 1.61350i
\(73\) −5.43844 9.41965i −0.636521 1.10249i −0.986191 0.165613i \(-0.947040\pi\)
0.349670 0.936873i \(-0.386294\pi\)
\(74\) −6.53331 1.55722i −0.759482 0.181023i
\(75\) 14.0452 1.62180
\(76\) 8.35837 2.47742i 0.958771 0.284180i
\(77\) −3.79040 −0.431956
\(78\) −24.8205 5.91599i −2.81037 0.669854i
\(79\) 3.00015 + 5.19641i 0.337543 + 0.584641i 0.983970 0.178334i \(-0.0570709\pi\)
−0.646427 + 0.762976i \(0.723738\pi\)
\(80\) 0.448774 1.02596i 0.0501744 0.114706i
\(81\) −1.01446 1.75709i −0.112717 0.195232i
\(82\) 2.72799 + 9.15456i 0.301256 + 1.01095i
\(83\) 9.99393i 1.09698i −0.836158 0.548488i \(-0.815204\pi\)
0.836158 0.548488i \(-0.184796\pi\)
\(84\) −8.84895 + 0.492761i −0.965500 + 0.0537646i
\(85\) 0.611199 1.05863i 0.0662939 0.114824i
\(86\) −0.0682613 0.229071i −0.00736080 0.0247013i
\(87\) 2.29079i 0.245599i
\(88\) 5.27194 + 4.45815i 0.561991 + 0.475240i
\(89\) 7.76733 + 4.48447i 0.823335 + 0.475353i 0.851565 0.524249i \(-0.175654\pi\)
−0.0282301 + 0.999601i \(0.508987\pi\)
\(90\) 0.472197 1.98110i 0.0497739 0.208826i
\(91\) −4.90862 + 8.50198i −0.514563 + 0.891250i
\(92\) −7.22959 11.0533i −0.753737 1.15239i
\(93\) −2.02642 3.50987i −0.210130 0.363957i
\(94\) 1.34476 1.42173i 0.138702 0.146640i
\(95\) 1.16896 + 0.350204i 0.119933 + 0.0359302i
\(96\) 12.8873 + 9.72249i 1.31530 + 0.992297i
\(97\) −1.77525 + 1.02494i −0.180249 + 0.104067i −0.587410 0.809290i \(-0.699852\pi\)
0.407161 + 0.913357i \(0.366519\pi\)
\(98\) 1.50465 6.31273i 0.151992 0.637682i
\(99\) 10.8744 + 6.27832i 1.09292 + 0.630995i
\(100\) −8.23768 + 5.38797i −0.823768 + 0.538797i
\(101\) −4.50640 + 7.80531i −0.448404 + 0.776658i −0.998282 0.0585867i \(-0.981341\pi\)
0.549879 + 0.835244i \(0.314674\pi\)
\(102\) 12.8025 + 12.1094i 1.26764 + 1.19901i
\(103\) −15.5248 −1.52970 −0.764852 0.644207i \(-0.777188\pi\)
−0.764852 + 0.644207i \(0.777188\pi\)
\(104\) 16.8270 6.05176i 1.65002 0.593424i
\(105\) −1.07437 0.620285i −0.104847 0.0605336i
\(106\) 4.77760 5.05105i 0.464042 0.490601i
\(107\) −13.5984 −1.31461 −0.657305 0.753624i \(-0.728304\pi\)
−0.657305 + 0.753624i \(0.728304\pi\)
\(108\) 10.9215 + 5.51987i 1.05092 + 0.531150i
\(109\) −9.31513 + 5.37809i −0.892228 + 0.515128i −0.874671 0.484718i \(-0.838922\pi\)
−0.0175573 + 0.999846i \(0.505589\pi\)
\(110\) 0.275996 + 0.926187i 0.0263152 + 0.0883085i
\(111\) 11.7373 6.77651i 1.11405 0.643198i
\(112\) 5.00098 3.68361i 0.472549 0.348069i
\(113\) 4.47179i 0.420671i −0.977629 0.210336i \(-0.932544\pi\)
0.977629 0.210336i \(-0.0674556\pi\)
\(114\) −8.81820 + 15.2221i −0.825900 + 1.42568i
\(115\) 1.84877i 0.172399i
\(116\) −0.878786 1.34358i −0.0815933 0.124748i
\(117\) 28.1649 16.2610i 2.60385 1.50333i
\(118\) 2.84729 0.848470i 0.262115 0.0781080i
\(119\) 5.87180 3.39008i 0.538267 0.310769i
\(120\) 0.764739 + 2.12637i 0.0698108 + 0.194110i
\(121\) 5.04144 0.458313
\(122\) 3.24680 + 3.07103i 0.293951 + 0.278038i
\(123\) −16.6935 9.63798i −1.50520 0.869027i
\(124\) 2.53497 + 1.28121i 0.227647 + 0.115056i
\(125\) −2.77760 −0.248436
\(126\) 7.76240 8.20668i 0.691529 0.731109i
\(127\) 9.50662 16.4659i 0.843576 1.46112i −0.0432760 0.999063i \(-0.513779\pi\)
0.886852 0.462053i \(-0.152887\pi\)
\(128\) −11.2882 0.758582i −0.997750 0.0670498i
\(129\) 0.417714 + 0.241167i 0.0367777 + 0.0212336i
\(130\) 2.43488 + 0.580357i 0.213553 + 0.0509007i
\(131\) −3.42232 + 1.97588i −0.299010 + 0.172633i −0.641998 0.766706i \(-0.721894\pi\)
0.342988 + 0.939340i \(0.388561\pi\)
\(132\) −13.9107 + 0.774626i −1.21077 + 0.0674226i
\(133\) 4.64389 + 4.92409i 0.402676 + 0.426973i
\(134\) 2.06396 + 1.95222i 0.178299 + 0.168646i
\(135\) 0.856458 + 1.48343i 0.0737122 + 0.127673i
\(136\) −12.1542 2.19107i −1.04221 0.187882i
\(137\) 8.17058 14.1519i 0.698060 1.20908i −0.271078 0.962557i \(-0.587380\pi\)
0.969138 0.246518i \(-0.0792865\pi\)
\(138\) 25.9258 + 6.17945i 2.20695 + 0.526030i
\(139\) −0.429169 0.247781i −0.0364017 0.0210165i 0.481689 0.876342i \(-0.340024\pi\)
−0.518090 + 0.855326i \(0.673357\pi\)
\(140\) 0.868079 0.0483397i 0.0733661 0.00408545i
\(141\) 3.94900i 0.332566i
\(142\) −4.72796 + 1.40889i −0.396761 + 0.118232i
\(143\) −7.71641 + 13.3652i −0.645279 + 1.11766i
\(144\) −20.4489 + 2.28451i −1.70407 + 0.190376i
\(145\) 0.224726i 0.0186625i
\(146\) −14.7416 + 4.39288i −1.22002 + 0.363558i
\(147\) 6.54773 + 11.3410i 0.540048 + 0.935390i
\(148\) −4.28446 + 8.47711i −0.352181 + 0.696815i
\(149\) −5.44884 9.43768i −0.446387 0.773165i 0.551761 0.834002i \(-0.313956\pi\)
−0.998148 + 0.0608378i \(0.980623\pi\)
\(150\) 4.60534 19.3217i 0.376024 1.57761i
\(151\) −10.3234 −0.840108 −0.420054 0.907499i \(-0.637989\pi\)
−0.420054 + 0.907499i \(0.637989\pi\)
\(152\) −0.667469 12.3107i −0.0541389 0.998533i
\(153\) −22.4610 −1.81586
\(154\) −1.24285 + 5.21437i −0.100152 + 0.420186i
\(155\) 0.198792 + 0.344317i 0.0159673 + 0.0276562i
\(156\) −16.2770 + 32.2052i −1.30320 + 2.57848i
\(157\) −0.891154 1.54352i −0.0711218 0.123187i 0.828271 0.560327i \(-0.189325\pi\)
−0.899393 + 0.437141i \(0.855991\pi\)
\(158\) 8.13230 2.42336i 0.646971 0.192792i
\(159\) 14.0298i 1.11264i
\(160\) −1.26424 0.953773i −0.0999468 0.0754024i
\(161\) 5.12721 8.88060i 0.404081 0.699889i
\(162\) −2.74982 + 0.819425i −0.216046 + 0.0643801i
\(163\) 4.00112i 0.313392i −0.987647 0.156696i \(-0.949916\pi\)
0.987647 0.156696i \(-0.0500843\pi\)
\(164\) 13.4882 0.751102i 1.05325 0.0586512i
\(165\) −1.68892 0.975096i −0.131482 0.0759111i
\(166\) −13.7484 3.27695i −1.06708 0.254340i
\(167\) 3.11841 5.40125i 0.241310 0.417961i −0.719778 0.694205i \(-0.755756\pi\)
0.961088 + 0.276243i \(0.0890896\pi\)
\(168\) −2.22364 + 12.3349i −0.171557 + 0.951656i
\(169\) 13.4857 + 23.3579i 1.03736 + 1.79677i
\(170\) −1.25592 1.18793i −0.0963248 0.0911101i
\(171\) −5.16683 21.8189i −0.395117 1.66853i
\(172\) −0.337510 + 0.0187945i −0.0257349 + 0.00143307i
\(173\) 10.3232 5.96012i 0.784860 0.453139i −0.0532897 0.998579i \(-0.516971\pi\)
0.838150 + 0.545440i \(0.183637\pi\)
\(174\) 3.15139 + 0.751137i 0.238906 + 0.0569436i
\(175\) −6.61841 3.82114i −0.500305 0.288851i
\(176\) 7.86161 5.79069i 0.592591 0.436489i
\(177\) −2.99765 + 5.19208i −0.225317 + 0.390260i
\(178\) 8.71604 9.21490i 0.653295 0.690686i
\(179\) 20.5057 1.53267 0.766334 0.642443i \(-0.222079\pi\)
0.766334 + 0.642443i \(0.222079\pi\)
\(180\) −2.57052 1.29918i −0.191595 0.0968352i
\(181\) −8.17671 4.72083i −0.607770 0.350896i 0.164322 0.986407i \(-0.447456\pi\)
−0.772092 + 0.635510i \(0.780790\pi\)
\(182\) 10.0865 + 9.54042i 0.747659 + 0.707183i
\(183\) −9.01832 −0.666653
\(184\) −17.5763 + 6.32126i −1.29575 + 0.466009i
\(185\) −1.15142 + 0.664774i −0.0846542 + 0.0488751i
\(186\) −5.49290 + 1.63684i −0.402759 + 0.120019i
\(187\) 9.23054 5.32925i 0.675004 0.389714i
\(188\) −1.51490 2.31613i −0.110485 0.168921i
\(189\) 9.50088i 0.691087i
\(190\) 0.865063 1.49328i 0.0627582 0.108334i
\(191\) 2.07688i 0.150278i 0.997173 + 0.0751389i \(0.0239400\pi\)
−0.997173 + 0.0751389i \(0.976060\pi\)
\(192\) 17.6007 14.5408i 1.27022 1.04939i
\(193\) −9.18321 + 5.30193i −0.661022 + 0.381641i −0.792666 0.609656i \(-0.791308\pi\)
0.131644 + 0.991297i \(0.457974\pi\)
\(194\) 0.827893 + 2.77824i 0.0594392 + 0.199466i
\(195\) −4.37434 + 2.52552i −0.313253 + 0.180857i
\(196\) −8.19091 4.13981i −0.585065 0.295701i
\(197\) −18.0785 −1.28804 −0.644018 0.765010i \(-0.722734\pi\)
−0.644018 + 0.765010i \(0.722734\pi\)
\(198\) 12.2026 12.9010i 0.867200 0.916834i
\(199\) 4.97248 + 2.87086i 0.352490 + 0.203510i 0.665781 0.746147i \(-0.268098\pi\)
−0.313291 + 0.949657i \(0.601432\pi\)
\(200\) 4.71102 + 13.0991i 0.333120 + 0.926244i
\(201\) −5.73285 −0.404364
\(202\) 9.25997 + 8.75866i 0.651529 + 0.616257i
\(203\) 0.623234 1.07947i 0.0437425 0.0757641i
\(204\) 20.8565 13.6415i 1.46025 0.955096i
\(205\) 1.63762 + 0.945483i 0.114377 + 0.0660354i
\(206\) −5.09048 + 21.3571i −0.354671 + 1.48802i
\(207\) −29.4192 + 16.9852i −2.04477 + 1.18055i
\(208\) −2.80779 25.1328i −0.194685 1.74265i
\(209\) 7.30025 + 7.74073i 0.504969 + 0.535438i
\(210\) −1.20559 + 1.27459i −0.0831936 + 0.0879551i
\(211\) 6.39464 + 11.0758i 0.440225 + 0.762493i 0.997706 0.0676974i \(-0.0215652\pi\)
−0.557481 + 0.830190i \(0.688232\pi\)
\(212\) −5.38206 8.22864i −0.369641 0.565145i
\(213\) 4.97762 8.62149i 0.341061 0.590735i
\(214\) −4.45884 + 18.7070i −0.304800 + 1.27879i
\(215\) −0.0409776 0.0236584i −0.00279465 0.00161349i
\(216\) 11.1746 13.2145i 0.760337 0.899130i
\(217\) 2.20524i 0.149701i
\(218\) 4.34414 + 14.5781i 0.294222 + 0.987350i
\(219\) 15.5201 26.8815i 1.04875 1.81649i
\(220\) 1.36463 0.0759906i 0.0920034 0.00512329i
\(221\) 27.6058i 1.85697i
\(222\) −5.47371 18.3687i −0.367372 1.23282i
\(223\) 8.96078 + 15.5205i 0.600058 + 1.03933i 0.992812 + 0.119688i \(0.0381894\pi\)
−0.392753 + 0.919644i \(0.628477\pi\)
\(224\) −3.42767 8.08757i −0.229021 0.540373i
\(225\) 12.6585 + 21.9251i 0.843899 + 1.46168i
\(226\) −6.15174 1.46627i −0.409208 0.0975351i
\(227\) 21.5385 1.42956 0.714781 0.699349i \(-0.246527\pi\)
0.714781 + 0.699349i \(0.246527\pi\)
\(228\) 18.0492 + 17.1222i 1.19534 + 1.13395i
\(229\) −12.0256 −0.794674 −0.397337 0.917673i \(-0.630066\pi\)
−0.397337 + 0.917673i \(0.630066\pi\)
\(230\) −2.54332 0.606202i −0.167701 0.0399718i
\(231\) −5.40847 9.36775i −0.355851 0.616353i
\(232\) −2.13648 + 0.768375i −0.140267 + 0.0504463i
\(233\) 6.85432 + 11.8720i 0.449041 + 0.777763i 0.998324 0.0578742i \(-0.0184322\pi\)
−0.549282 + 0.835637i \(0.685099\pi\)
\(234\) −13.1348 44.0777i −0.858649 2.88145i
\(235\) 0.387395i 0.0252709i
\(236\) −0.233611 4.19516i −0.0152068 0.273082i
\(237\) −8.56174 + 14.8294i −0.556145 + 0.963271i
\(238\) −2.73833 9.18928i −0.177500 0.595653i
\(239\) 18.8645i 1.22024i 0.792308 + 0.610122i \(0.208880\pi\)
−0.792308 + 0.610122i \(0.791120\pi\)
\(240\) 3.17595 0.354811i 0.205006 0.0229029i
\(241\) 8.86102 + 5.11591i 0.570789 + 0.329545i 0.757464 0.652877i \(-0.226438\pi\)
−0.186676 + 0.982422i \(0.559771\pi\)
\(242\) 1.65306 6.93539i 0.106263 0.445824i
\(243\) −6.28281 + 10.8821i −0.403042 + 0.698090i
\(244\) 5.28935 3.45957i 0.338616 0.221477i
\(245\) −0.642330 1.11255i −0.0410370 0.0710781i
\(246\) −18.7324 + 19.8046i −1.19434 + 1.26269i
\(247\) 26.8166 6.35032i 1.70630 0.404061i
\(248\) 2.59373 3.06719i 0.164702 0.194767i
\(249\) 24.6994 14.2602i 1.56526 0.903704i
\(250\) −0.910758 + 3.82108i −0.0576014 + 0.241666i
\(251\) −7.82852 4.51980i −0.494132 0.285287i 0.232155 0.972679i \(-0.425422\pi\)
−0.726287 + 0.687392i \(0.758756\pi\)
\(252\) −8.74449 13.3695i −0.550851 0.842197i
\(253\) 8.06004 13.9604i 0.506731 0.877683i
\(254\) −19.5347 18.4771i −1.22571 1.15936i
\(255\) 3.48845 0.218455
\(256\) −4.74491 + 15.2802i −0.296557 + 0.955015i
\(257\) −16.3267 9.42623i −1.01843 0.587992i −0.104783 0.994495i \(-0.533415\pi\)
−0.913649 + 0.406503i \(0.866748\pi\)
\(258\) 0.468734 0.495562i 0.0291821 0.0308523i
\(259\) −7.37448 −0.458228
\(260\) 1.59677 3.15932i 0.0990273 0.195933i
\(261\) −3.57602 + 2.06462i −0.221350 + 0.127797i
\(262\) 1.59601 + 5.35589i 0.0986019 + 0.330888i
\(263\) −15.0334 + 8.67952i −0.926997 + 0.535202i −0.885860 0.463952i \(-0.846431\pi\)
−0.0411363 + 0.999154i \(0.513098\pi\)
\(264\) −3.49558 + 19.3906i −0.215138 + 1.19341i
\(265\) 1.37632i 0.0845466i
\(266\) 8.29666 4.77391i 0.508701 0.292707i
\(267\) 25.5953i 1.56641i
\(268\) 3.36238 2.19921i 0.205390 0.134338i
\(269\) −4.05939 + 2.34369i −0.247505 + 0.142897i −0.618621 0.785689i \(-0.712308\pi\)
0.371116 + 0.928586i \(0.378975\pi\)
\(270\) 2.32155 0.691802i 0.141285 0.0421017i
\(271\) 2.27663 1.31441i 0.138295 0.0798449i −0.429256 0.903183i \(-0.641224\pi\)
0.567551 + 0.823338i \(0.307891\pi\)
\(272\) −6.99948 + 16.0018i −0.424406 + 0.970252i
\(273\) −28.0162 −1.69562
\(274\) −16.7893 15.8804i −1.01428 0.959370i
\(275\) −10.4042 6.00688i −0.627398 0.362229i
\(276\) 17.0018 33.6394i 1.02339 2.02485i
\(277\) 21.8066 1.31023 0.655116 0.755529i \(-0.272620\pi\)
0.655116 + 0.755529i \(0.272620\pi\)
\(278\) −0.481588 + 0.509152i −0.0288837 + 0.0305369i
\(279\) 3.65270 6.32666i 0.218681 0.378767i
\(280\) 0.218138 1.21005i 0.0130362 0.0723141i
\(281\) 2.94079 + 1.69786i 0.175433 + 0.101286i 0.585145 0.810929i \(-0.301038\pi\)
−0.409712 + 0.912215i \(0.634371\pi\)
\(282\) 5.43254 + 1.29485i 0.323503 + 0.0771073i
\(283\) 26.3842 15.2329i 1.56838 0.905504i 0.572020 0.820240i \(-0.306160\pi\)
0.996358 0.0852641i \(-0.0271734\pi\)
\(284\) 0.387913 + 6.96611i 0.0230184 + 0.413362i
\(285\) 0.802467 + 3.38872i 0.0475341 + 0.200730i
\(286\) 15.8561 + 14.9977i 0.937588 + 0.886830i
\(287\) 5.24422 + 9.08326i 0.309557 + 0.536168i
\(288\) −3.56232 + 28.8801i −0.209912 + 1.70178i
\(289\) −1.03282 + 1.78891i −0.0607544 + 0.105230i
\(290\) −0.309150 0.0736863i −0.0181539 0.00432701i
\(291\) −5.06616 2.92495i −0.296983 0.171463i
\(292\) 1.20950 + 21.7201i 0.0707807 + 1.27107i
\(293\) 29.1032i 1.70022i 0.526602 + 0.850112i \(0.323466\pi\)
−0.526602 + 0.850112i \(0.676534\pi\)
\(294\) 17.7485 5.28891i 1.03511 0.308456i
\(295\) 0.294068 0.509341i 0.0171213 0.0296550i
\(296\) 10.2569 + 8.67363i 0.596171 + 0.504144i
\(297\) 14.9355i 0.866646i
\(298\) −14.7698 + 4.40129i −0.855593 + 0.254960i
\(299\) −20.8757 36.1578i −1.20727 2.09106i
\(300\) −25.0703 12.6709i −1.44743 0.731555i
\(301\) −0.131224 0.227287i −0.00756363 0.0131006i
\(302\) −3.38499 + 14.2017i −0.194784 + 0.817215i
\(303\) −25.7205 −1.47760
\(304\) −17.1545 3.11840i −0.983876 0.178852i
\(305\) 0.884694 0.0506574
\(306\) −7.36482 + 30.8990i −0.421019 + 1.76638i
\(307\) 3.28294 + 5.68622i 0.187367 + 0.324530i 0.944372 0.328880i \(-0.106671\pi\)
−0.757004 + 0.653410i \(0.773338\pi\)
\(308\) 6.76576 + 3.41952i 0.385515 + 0.194845i
\(309\) −22.1521 38.3686i −1.26019 2.18271i
\(310\) 0.538852 0.160573i 0.0306047 0.00911996i
\(311\) 8.33297i 0.472519i 0.971690 + 0.236260i \(0.0759216\pi\)
−0.971690 + 0.236260i \(0.924078\pi\)
\(312\) 38.9668 + 32.9517i 2.20606 + 1.86553i
\(313\) 2.76342 4.78638i 0.156197 0.270542i −0.777297 0.629134i \(-0.783410\pi\)
0.933494 + 0.358592i \(0.116743\pi\)
\(314\) −2.41559 + 0.719827i −0.136320 + 0.0406222i
\(315\) 2.23617i 0.125994i
\(316\) −0.667229 11.9820i −0.0375345 0.674041i
\(317\) −1.37600 0.794434i −0.0772839 0.0446199i 0.460860 0.887473i \(-0.347541\pi\)
−0.538144 + 0.842853i \(0.680874\pi\)
\(318\) 19.3005 + 4.60028i 1.08232 + 0.257971i
\(319\) 0.979731 1.69694i 0.0548544 0.0950107i
\(320\) −1.72662 + 1.42645i −0.0965209 + 0.0797408i
\(321\) −19.4034 33.6077i −1.08299 1.87580i
\(322\) −10.5356 9.96528i −0.587129 0.555343i
\(323\) −18.2322 5.46210i −1.01447 0.303919i
\(324\) 0.225614 + 4.05155i 0.0125341 + 0.225086i
\(325\) −26.9472 + 15.5580i −1.49476 + 0.863002i
\(326\) −5.50425 1.31194i −0.304852 0.0726618i
\(327\) −26.5833 15.3479i −1.47006 0.848739i
\(328\) 3.38943 18.8017i 0.187150 1.03815i
\(329\) 1.07437 1.86085i 0.0592317 0.102592i
\(330\) −1.89520 + 2.00367i −0.104327 + 0.110299i
\(331\) 6.01372 0.330544 0.165272 0.986248i \(-0.447150\pi\)
0.165272 + 0.986248i \(0.447150\pi\)
\(332\) −9.01604 + 17.8389i −0.494819 + 0.979035i
\(333\) 21.1568 + 12.2149i 1.15939 + 0.669372i
\(334\) −6.40787 6.06097i −0.350623 0.331641i
\(335\) 0.562390 0.0307267
\(336\) 16.2397 + 7.10353i 0.885947 + 0.387530i
\(337\) 9.08412 5.24472i 0.494843 0.285698i −0.231738 0.972778i \(-0.574441\pi\)
0.726582 + 0.687080i \(0.241108\pi\)
\(338\) 36.5549 10.8931i 1.98832 0.592504i
\(339\) 11.0518 6.38074i 0.600250 0.346554i
\(340\) −2.04602 + 1.33823i −0.110961 + 0.0725755i
\(341\) 3.46666i 0.187730i
\(342\) −31.7099 0.0463905i −1.71467 0.00250851i
\(343\) 17.9951i 0.971643i
\(344\) −0.0848122 + 0.470467i −0.00457277 + 0.0253659i
\(345\) 4.56914 2.63799i 0.245994 0.142025i
\(346\) −4.81427 16.1557i −0.258817 0.868536i
\(347\) 4.05899 2.34346i 0.217898 0.125803i −0.387079 0.922047i \(-0.626516\pi\)
0.604976 + 0.796243i \(0.293183\pi\)
\(348\) 2.06664 4.08900i 0.110784 0.219193i
\(349\) 30.0162 1.60673 0.803365 0.595487i \(-0.203041\pi\)
0.803365 + 0.595487i \(0.203041\pi\)
\(350\) −7.42679 + 7.85187i −0.396979 + 0.419700i
\(351\) 33.5008 + 19.3417i 1.78814 + 1.03238i
\(352\) −5.38834 12.7138i −0.287199 0.677646i
\(353\) 5.44792 0.289963 0.144982 0.989434i \(-0.453688\pi\)
0.144982 + 0.989434i \(0.453688\pi\)
\(354\) 6.15971 + 5.82624i 0.327385 + 0.309661i
\(355\) −0.488303 + 0.845766i −0.0259164 + 0.0448886i
\(356\) −9.81879 15.0120i −0.520395 0.795632i
\(357\) 16.7568 + 9.67453i 0.886863 + 0.512031i
\(358\) 6.72369 28.2092i 0.355358 1.49090i
\(359\) −3.48977 + 2.01482i −0.184183 + 0.106338i −0.589257 0.807946i \(-0.700579\pi\)
0.405073 + 0.914284i \(0.367246\pi\)
\(360\) −2.63011 + 3.11021i −0.138619 + 0.163923i
\(361\) 1.11190 18.9674i 0.0585208 0.998286i
\(362\) −9.17543 + 9.70058i −0.482250 + 0.509851i
\(363\) 7.19357 + 12.4596i 0.377564 + 0.653961i
\(364\) 16.4318 10.7475i 0.861262 0.563321i
\(365\) −1.52251 + 2.63707i −0.0796920 + 0.138031i
\(366\) −2.95705 + 12.4063i −0.154568 + 0.648487i
\(367\) −22.8092 13.1689i −1.19063 0.687410i −0.232180 0.972673i \(-0.574586\pi\)
−0.958449 + 0.285262i \(0.907919\pi\)
\(368\) 2.93283 + 26.2521i 0.152884 + 1.36848i
\(369\) 34.7456i 1.80878i
\(370\) 0.536969 + 1.80196i 0.0279157 + 0.0936794i
\(371\) 3.81695 6.61115i 0.198166 0.343234i
\(372\) 0.450674 + 8.09316i 0.0233664 + 0.419611i
\(373\) 0.859389i 0.0444975i 0.999752 + 0.0222487i \(0.00708258\pi\)
−0.999752 + 0.0222487i \(0.992917\pi\)
\(374\) −4.30469 14.4457i −0.222590 0.746967i
\(375\) −3.96332 6.86468i −0.204665 0.354490i
\(376\) −3.68298 + 1.32457i −0.189935 + 0.0683093i
\(377\) −2.53753 4.39513i −0.130689 0.226361i
\(378\) 13.0701 + 3.11528i 0.672255 + 0.160233i
\(379\) −16.0874 −0.826354 −0.413177 0.910651i \(-0.635581\pi\)
−0.413177 + 0.910651i \(0.635581\pi\)
\(380\) −1.77063 1.67968i −0.0908312 0.0861660i
\(381\) 54.2595 2.77980
\(382\) 2.85712 + 0.680997i 0.146183 + 0.0348428i
\(383\) 11.6043 + 20.0993i 0.592953 + 1.02703i 0.993832 + 0.110894i \(0.0353715\pi\)
−0.400879 + 0.916131i \(0.631295\pi\)
\(384\) −14.2323 28.9806i −0.726287 1.47891i
\(385\) 0.530570 + 0.918973i 0.0270403 + 0.0468352i
\(386\) 4.28262 + 14.3716i 0.217980 + 0.731495i
\(387\) 0.869424i 0.0441953i
\(388\) 4.09342 0.227945i 0.207812 0.0115722i
\(389\) −1.33595 + 2.31394i −0.0677354 + 0.117321i −0.897904 0.440191i \(-0.854911\pi\)
0.830169 + 0.557512i \(0.188244\pi\)
\(390\) 2.03999 + 6.84577i 0.103299 + 0.346649i
\(391\) 28.8352i 1.45826i
\(392\) −8.38079 + 9.91063i −0.423294 + 0.500562i
\(393\) −9.76653 5.63871i −0.492656 0.284435i
\(394\) −5.92781 + 24.8701i −0.298639 + 1.25294i
\(395\) 0.839904 1.45476i 0.0422601 0.0731967i
\(396\) −13.7464 21.0170i −0.690785 1.05614i
\(397\) 11.7655 + 20.3785i 0.590495 + 1.02277i 0.994166 + 0.107863i \(0.0344009\pi\)
−0.403670 + 0.914904i \(0.632266\pi\)
\(398\) 5.57983 5.89919i 0.279691 0.295700i
\(399\) −5.54330 + 18.5032i −0.277512 + 0.926319i
\(400\) 19.5648 2.18574i 0.978239 0.109287i
\(401\) −19.5498 + 11.2871i −0.976271 + 0.563650i −0.901142 0.433524i \(-0.857270\pi\)
−0.0751286 + 0.997174i \(0.523937\pi\)
\(402\) −1.87976 + 7.88654i −0.0937542 + 0.393345i
\(403\) 7.77582 + 4.48937i 0.387341 + 0.223632i
\(404\) 15.0854 9.86680i 0.750525 0.490892i
\(405\) −0.284001 + 0.491905i −0.0141121 + 0.0244430i
\(406\) −1.28065 1.21132i −0.0635576 0.0601168i
\(407\) −11.5928 −0.574633
\(408\) −11.9276 33.1648i −0.590503 1.64190i
\(409\) 16.6161 + 9.59330i 0.821612 + 0.474358i 0.850972 0.525211i \(-0.176014\pi\)
−0.0293599 + 0.999569i \(0.509347\pi\)
\(410\) 1.83765 1.94282i 0.0907548 0.0959492i
\(411\) 46.6340 2.30029
\(412\) 27.7113 + 14.0057i 1.36524 + 0.690012i
\(413\) 2.82512 1.63108i 0.139015 0.0802603i
\(414\) 13.7197 + 46.0406i 0.674288 + 2.26277i
\(415\) −2.42300 + 1.39892i −0.118941 + 0.0686704i
\(416\) −35.4953 4.37829i −1.74030 0.214663i
\(417\) 1.41422i 0.0692547i
\(418\) 13.0425 7.50464i 0.637927 0.367064i
\(419\) 33.0168i 1.61298i 0.591250 + 0.806488i \(0.298635\pi\)
−0.591250 + 0.806488i \(0.701365\pi\)
\(420\) 1.35812 + 2.07643i 0.0662695 + 0.101319i
\(421\) −23.8682 + 13.7803i −1.16326 + 0.671611i −0.952084 0.305836i \(-0.901064\pi\)
−0.211180 + 0.977447i \(0.567731\pi\)
\(422\) 17.3335 5.16526i 0.843784 0.251441i
\(423\) −6.16454 + 3.55910i −0.299730 + 0.173049i
\(424\) −13.0847 + 4.70585i −0.635449 + 0.228536i
\(425\) 21.4899 1.04241
\(426\) −10.2283 9.67453i −0.495561 0.468733i
\(427\) 4.24963 + 2.45353i 0.205654 + 0.118734i
\(428\) 24.2728 + 12.2679i 1.17327 + 0.592989i
\(429\) −44.0418 −2.12636
\(430\) −0.0459826 + 0.0486145i −0.00221748 + 0.00234440i
\(431\) 7.78027 13.4758i 0.374763 0.649108i −0.615529 0.788114i \(-0.711058\pi\)
0.990291 + 0.139007i \(0.0443909\pi\)
\(432\) −14.5147 19.7056i −0.698340 0.948087i
\(433\) −24.5338 14.1646i −1.17902 0.680707i −0.223231 0.974765i \(-0.571661\pi\)
−0.955787 + 0.294059i \(0.904994\pi\)
\(434\) 3.03370 + 0.723084i 0.145622 + 0.0347092i
\(435\) 0.555397 0.320659i 0.0266293 0.0153744i
\(436\) 21.4791 1.19608i 1.02866 0.0572819i
\(437\) −28.0108 + 6.63312i −1.33994 + 0.317305i
\(438\) −31.8914 30.1649i −1.52383 1.44133i
\(439\) −17.4269 30.1843i −0.831742 1.44062i −0.896655 0.442729i \(-0.854010\pi\)
0.0649131 0.997891i \(-0.479323\pi\)
\(440\) 0.342916 1.90221i 0.0163479 0.0906842i
\(441\) −11.8025 + 20.4425i −0.562024 + 0.973454i
\(442\) −37.9767 9.05178i −1.80637 0.430549i
\(443\) −21.8508 12.6156i −1.03816 0.599385i −0.118852 0.992912i \(-0.537921\pi\)
−0.919313 + 0.393527i \(0.871255\pi\)
\(444\) −27.0641 + 1.50709i −1.28441 + 0.0715232i
\(445\) 2.51089i 0.119028i
\(446\) 24.2894 7.23805i 1.15014 0.342732i
\(447\) 15.5498 26.9330i 0.735479 1.27389i
\(448\) −12.2498 + 2.06350i −0.578748 + 0.0974912i
\(449\) 22.0336i 1.03983i 0.854218 + 0.519915i \(0.174036\pi\)
−0.854218 + 0.519915i \(0.825964\pi\)
\(450\) 34.3125 10.2249i 1.61751 0.482004i
\(451\) 8.24398 + 14.2790i 0.388194 + 0.672372i
\(452\) −4.03424 + 7.98202i −0.189755 + 0.375443i
\(453\) −14.7304 25.5137i −0.692093 1.19874i
\(454\) 7.06235 29.6300i 0.331452 1.39061i
\(455\) 2.74838 0.128846
\(456\) 29.4729 19.2157i 1.38019 0.899855i
\(457\) −18.9216 −0.885116 −0.442558 0.896740i \(-0.645929\pi\)
−0.442558 + 0.896740i \(0.645929\pi\)
\(458\) −3.94312 + 16.5433i −0.184250 + 0.773019i
\(459\) −13.3581 23.1369i −0.623503 1.07994i
\(460\) −1.66787 + 3.30001i −0.0777651 + 0.153864i
\(461\) 15.8498 + 27.4526i 0.738198 + 1.27860i 0.953306 + 0.302006i \(0.0976564\pi\)
−0.215108 + 0.976590i \(0.569010\pi\)
\(462\) −14.6604 + 4.36868i −0.682064 + 0.203249i
\(463\) 21.7267i 1.00973i −0.863200 0.504863i \(-0.831543\pi\)
0.863200 0.504863i \(-0.168457\pi\)
\(464\) 0.356497 + 3.19105i 0.0165500 + 0.148141i
\(465\) −0.567306 + 0.982603i −0.0263082 + 0.0455671i
\(466\) 18.5796 5.53656i 0.860682 0.256476i
\(467\) 38.6475i 1.78839i −0.447674 0.894197i \(-0.647747\pi\)
0.447674 0.894197i \(-0.352253\pi\)
\(468\) −64.9435 + 3.61643i −3.00201 + 0.167170i
\(469\) 2.70144 + 1.55968i 0.124741 + 0.0720193i
\(470\) −0.532931 0.127025i −0.0245823 0.00585920i
\(471\) 2.54315 4.40487i 0.117182 0.202966i
\(472\) −5.84778 1.05419i −0.269166 0.0485232i
\(473\) −0.206286 0.357297i −0.00948503 0.0164286i
\(474\) 17.5931 + 16.6406i 0.808076 + 0.764330i
\(475\) 4.94344 + 20.8755i 0.226821 + 0.957835i
\(476\) −13.5394 + 0.753950i −0.620576 + 0.0345573i
\(477\) −21.9011 + 12.6446i −1.00278 + 0.578956i
\(478\) 25.9515 + 6.18556i 1.18699 + 0.282921i
\(479\) 33.7610 + 19.4919i 1.54258 + 0.890608i 0.998675 + 0.0514591i \(0.0163872\pi\)
0.543902 + 0.839148i \(0.316946\pi\)
\(480\) 0.553269 4.48541i 0.0252531 0.204730i
\(481\) −15.0128 + 26.0029i −0.684525 + 1.18563i
\(482\) 9.94331 10.5124i 0.452906 0.478828i
\(483\) 29.2638 1.33155
\(484\) −8.99883 4.54815i −0.409038 0.206734i
\(485\) 0.496988 + 0.286936i 0.0225671 + 0.0130291i
\(486\) 12.9102 + 12.2113i 0.585619 + 0.553916i
\(487\) 20.8439 0.944526 0.472263 0.881458i \(-0.343437\pi\)
0.472263 + 0.881458i \(0.343437\pi\)
\(488\) −3.02491 8.41081i −0.136931 0.380739i
\(489\) 9.88853 5.70915i 0.447175 0.258176i
\(490\) −1.74112 + 0.518841i −0.0786559 + 0.0234388i
\(491\) −33.0406 + 19.0760i −1.49110 + 0.860887i −0.999948 0.0101871i \(-0.996757\pi\)
−0.491152 + 0.871074i \(0.663424\pi\)
\(492\) 21.1024 + 32.2636i 0.951372 + 1.45455i
\(493\) 3.50503i 0.157859i
\(494\) 0.0570166 38.9732i 0.00256530 1.75349i
\(495\) 3.51529i 0.158000i
\(496\) −3.36900 4.57385i −0.151272 0.205372i
\(497\) −4.69113 + 2.70843i −0.210426 + 0.121490i
\(498\) −11.5186 38.6542i −0.516163 1.73214i
\(499\) −17.9283 + 10.3509i −0.802580 + 0.463370i −0.844373 0.535756i \(-0.820027\pi\)
0.0417924 + 0.999126i \(0.486693\pi\)
\(500\) 4.95794 + 2.50582i 0.221726 + 0.112064i
\(501\) 17.7985 0.795178
\(502\) −8.78471 + 9.28750i −0.392081 + 0.414521i
\(503\) 17.8283 + 10.2932i 0.794924 + 0.458949i 0.841693 0.539956i \(-0.181559\pi\)
−0.0467693 + 0.998906i \(0.514893\pi\)
\(504\) −21.2593 + 7.64582i −0.946965 + 0.340572i
\(505\) 2.52317 0.112280
\(506\) −16.5622 15.6655i −0.736278 0.696418i
\(507\) −38.4852 + 66.6583i −1.70919 + 2.96040i
\(508\) −31.8238 + 20.8148i −1.41195 + 0.923509i
\(509\) −18.0800 10.4385i −0.801382 0.462678i 0.0425720 0.999093i \(-0.486445\pi\)
−0.843954 + 0.536415i \(0.819778\pi\)
\(510\) 1.14384 4.79898i 0.0506501 0.212502i
\(511\) −14.6268 + 8.44479i −0.647051 + 0.373575i
\(512\) 19.4648 + 11.5378i 0.860233 + 0.509902i
\(513\) 19.4026 18.2985i 0.856647 0.807900i
\(514\) −18.3209 + 19.3695i −0.808099 + 0.854351i
\(515\) 2.17312 + 3.76395i 0.0957589 + 0.165859i
\(516\) −0.528038 0.807318i −0.0232456 0.0355402i
\(517\) 1.68892 2.92529i 0.0742784 0.128654i
\(518\) −2.41805 + 10.1449i −0.106243 + 0.445741i
\(519\) 29.4602 + 17.0088i 1.29316 + 0.746605i
\(520\) −3.82263 3.23255i −0.167633 0.141757i
\(521\) 44.1884i 1.93593i −0.251085 0.967965i \(-0.580788\pi\)
0.251085 0.967965i \(-0.419212\pi\)
\(522\) 1.66769 + 5.59642i 0.0729928 + 0.244949i
\(523\) −10.6571 + 18.4587i −0.466004 + 0.807143i −0.999246 0.0388195i \(-0.987640\pi\)
0.533242 + 0.845963i \(0.320974\pi\)
\(524\) 7.89129 0.439433i 0.344733 0.0191967i
\(525\) 21.8094i 0.951838i
\(526\) 7.01086 + 23.5270i 0.305688 + 1.02583i
\(527\) −3.10054 5.37029i −0.135061 0.233933i
\(528\) 25.5290 + 11.1668i 1.11101 + 0.485974i
\(529\) 10.3054 + 17.8494i 0.448060 + 0.776063i
\(530\) −1.89337 0.451286i −0.0822427 0.0196026i
\(531\) −10.8067 −0.468972
\(532\) −3.84693 12.9789i −0.166786 0.562705i
\(533\) 42.7043 1.84973
\(534\) 35.2109 + 8.39255i 1.52372 + 0.363181i
\(535\) 1.90347 + 3.29691i 0.0822942 + 0.142538i
\(536\) −1.92290 5.34666i −0.0830568 0.230940i
\(537\) 29.2593 + 50.6786i 1.26263 + 2.18694i
\(538\) 1.89311 + 6.35288i 0.0816177 + 0.273892i
\(539\) 11.2014i 0.482478i
\(540\) −0.190475 3.42053i −0.00819675 0.147196i
\(541\) 12.9168 22.3725i 0.555335 0.961868i −0.442543 0.896747i \(-0.645924\pi\)
0.997877 0.0651204i \(-0.0207431\pi\)
\(542\) −1.06171 3.56289i −0.0456045 0.153039i
\(543\) 26.9443i 1.15629i
\(544\) 19.7182 + 14.8759i 0.845411 + 0.637800i
\(545\) 2.60781 + 1.50562i 0.111706 + 0.0644937i
\(546\) −9.18634 + 38.5412i −0.393139 + 1.64941i
\(547\) 13.4386 23.2764i 0.574595 0.995227i −0.421491 0.906833i \(-0.638493\pi\)
0.996086 0.0883943i \(-0.0281736\pi\)
\(548\) −27.3514 + 17.8896i −1.16839 + 0.764205i
\(549\) −8.12791 14.0780i −0.346891 0.600832i
\(550\) −11.6750 + 12.3432i −0.497824 + 0.526317i
\(551\) −3.40483 + 0.806282i −0.145051 + 0.0343488i
\(552\) −40.7021 34.4192i −1.73239 1.46498i
\(553\) 8.06896 4.65862i 0.343127 0.198105i
\(554\) 7.15025 29.9988i 0.303785 1.27453i
\(555\) −3.28590 1.89711i −0.139479 0.0805280i
\(556\) 0.542519 + 0.829458i 0.0230079 + 0.0351768i
\(557\) 20.3185 35.1927i 0.860923 1.49116i −0.0101155 0.999949i \(-0.503220\pi\)
0.871039 0.491214i \(-0.163447\pi\)
\(558\) −7.50574 7.09941i −0.317743 0.300542i
\(559\) −1.06857 −0.0451958
\(560\) −1.59311 0.696854i −0.0673210 0.0294475i
\(561\) 26.3419 + 15.2085i 1.11215 + 0.642103i
\(562\) 3.29998 3.48885i 0.139201 0.147168i
\(563\) −4.06692 −0.171400 −0.0857000 0.996321i \(-0.527313\pi\)
−0.0857000 + 0.996321i \(0.527313\pi\)
\(564\) 3.56259 7.04885i 0.150012 0.296810i
\(565\) −1.08418 + 0.625949i −0.0456116 + 0.0263339i
\(566\) −12.3044 41.2909i −0.517191 1.73559i
\(567\) −2.72840 + 1.57525i −0.114582 + 0.0661541i
\(568\) 9.71030 + 1.75050i 0.407435 + 0.0734494i
\(569\) 23.2914i 0.976425i −0.872725 0.488213i \(-0.837649\pi\)
0.872725 0.488213i \(-0.162351\pi\)
\(570\) 4.92491 + 0.00720498i 0.206282 + 0.000301783i
\(571\) 24.9781i 1.04530i −0.852548 0.522650i \(-0.824944\pi\)
0.852548 0.522650i \(-0.175056\pi\)
\(572\) 25.8310 16.8952i 1.08005 0.706422i
\(573\) −5.13289 + 2.96347i −0.214429 + 0.123801i
\(574\) 14.2152 4.23601i 0.593330 0.176808i
\(575\) 28.1473 16.2508i 1.17382 0.677706i
\(576\) 38.5616 + 14.3702i 1.60674 + 0.598759i
\(577\) −3.49896 −0.145664 −0.0728319 0.997344i \(-0.523204\pi\)
−0.0728319 + 0.997344i \(0.523204\pi\)
\(578\) 2.12230 + 2.00740i 0.0882760 + 0.0834970i
\(579\) −26.2068 15.1305i −1.08912 0.628802i
\(580\) −0.202737 + 0.401130i −0.00841820 + 0.0166560i
\(581\) −15.5185 −0.643818
\(582\) −5.68494 + 6.01032i −0.235648 + 0.249136i
\(583\) 6.00029 10.3928i 0.248507 0.430426i
\(584\) 30.2764 + 5.45800i 1.25285 + 0.225854i
\(585\) −7.88489 4.55234i −0.326000 0.188216i
\(586\) 40.0365 + 9.54274i 1.65389 + 0.394207i
\(587\) 23.1734 13.3791i 0.956467 0.552217i 0.0613832 0.998114i \(-0.480449\pi\)
0.895084 + 0.445898i \(0.147115\pi\)
\(588\) −1.45621 26.1504i −0.0600529 1.07842i
\(589\) 4.50352 4.24725i 0.185564 0.175005i
\(590\) −0.604265 0.571552i −0.0248772 0.0235304i
\(591\) −25.7959 44.6798i −1.06110 1.83788i
\(592\) 15.2953 11.2662i 0.628632 0.463037i
\(593\) −10.9939 + 19.0420i −0.451466 + 0.781962i −0.998477 0.0551635i \(-0.982432\pi\)
0.547012 + 0.837125i \(0.315765\pi\)
\(594\) 20.5464 + 4.89726i 0.843030 + 0.200937i
\(595\) −1.64383 0.949068i −0.0673907 0.0389080i
\(596\) 1.21182 + 21.7617i 0.0496379 + 0.891392i
\(597\) 16.3856i 0.670618i
\(598\) −56.5865 + 16.8623i −2.31399 + 0.689552i
\(599\) −20.5172 + 35.5369i −0.838312 + 1.45200i 0.0529931 + 0.998595i \(0.483124\pi\)
−0.891305 + 0.453404i \(0.850209\pi\)
\(600\) −25.6515 + 30.3339i −1.04722 + 1.23838i
\(601\) 21.1376i 0.862222i −0.902299 0.431111i \(-0.858122\pi\)
0.902299 0.431111i \(-0.141878\pi\)
\(602\) −0.355700 + 0.105996i −0.0144973 + 0.00432007i
\(603\) −5.16683 8.94920i −0.210409 0.364440i
\(604\) 18.4270 + 9.31329i 0.749785 + 0.378953i
\(605\) −0.705687 1.22229i −0.0286902 0.0496930i
\(606\) −8.43359 + 35.3831i −0.342591 + 1.43734i
\(607\) −36.6714 −1.48845 −0.744223 0.667931i \(-0.767180\pi\)
−0.744223 + 0.667931i \(0.767180\pi\)
\(608\) −9.91475 + 22.5765i −0.402096 + 0.915597i
\(609\) 3.55714 0.144142
\(610\) 0.290086 1.21705i 0.0117452 0.0492770i
\(611\) −4.37434 7.57657i −0.176967 0.306515i
\(612\) 40.0922 + 20.2632i 1.62063 + 0.819092i
\(613\) −5.71378 9.89656i −0.230777 0.399718i 0.727260 0.686362i \(-0.240794\pi\)
−0.958037 + 0.286644i \(0.907460\pi\)
\(614\) 8.89886 2.65179i 0.359129 0.107018i
\(615\) 5.39639i 0.217603i
\(616\) 6.92260 8.18625i 0.278919 0.329834i
\(617\) −17.6282 + 30.5329i −0.709684 + 1.22921i 0.255290 + 0.966864i \(0.417829\pi\)
−0.964974 + 0.262344i \(0.915504\pi\)
\(618\) −60.0463 + 17.8933i −2.41542 + 0.719775i
\(619\) 24.9916i 1.00450i 0.864723 + 0.502248i \(0.167494\pi\)
−0.864723 + 0.502248i \(0.832506\pi\)
\(620\) −0.0442110 0.793936i −0.00177556 0.0318853i
\(621\) −34.9926 20.2030i −1.40421 0.810719i
\(622\) 11.4635 + 2.73233i 0.459643 + 0.109556i
\(623\) 6.96347 12.0611i 0.278985 0.483217i
\(624\) 58.1079 42.8010i 2.32618 1.71341i
\(625\) −11.9153 20.6378i −0.476611 0.825514i
\(626\) −5.67840 5.37099i −0.226954 0.214668i
\(627\) −8.71413 + 29.0873i −0.348009 + 1.16163i
\(628\) 0.198191 + 3.55910i 0.00790870 + 0.142024i
\(629\) 17.9586 10.3684i 0.716058 0.413416i
\(630\) −3.07625 0.733226i −0.122561 0.0292124i
\(631\) −25.5638 14.7593i −1.01768 0.587557i −0.104249 0.994551i \(-0.533244\pi\)
−0.913431 + 0.406994i \(0.866577\pi\)
\(632\) −16.7022 3.01094i −0.664376 0.119769i
\(633\) −18.2489 + 31.6080i −0.725327 + 1.25630i
\(634\) −1.54407 + 1.63244i −0.0613227 + 0.0648325i
\(635\) −5.32284 −0.211230
\(636\) 12.6570 25.0428i 0.501883 0.993011i
\(637\) −25.1250 14.5059i −0.995490 0.574746i
\(638\) −2.01320 1.90421i −0.0797033 0.0753884i
\(639\) 17.9447 0.709880
\(640\) 1.39618 + 2.84299i 0.0551889 + 0.112379i
\(641\) 5.77953 3.33681i 0.228278 0.131796i −0.381500 0.924369i \(-0.624592\pi\)
0.609777 + 0.792573i \(0.291259\pi\)
\(642\) −52.5956 + 15.6731i −2.07578 + 0.618567i
\(643\) −5.43174 + 3.13602i −0.214207 + 0.123673i −0.603265 0.797541i \(-0.706134\pi\)
0.389058 + 0.921213i \(0.372801\pi\)
\(644\) −17.1636 + 11.2261i −0.676340 + 0.442370i
\(645\) 0.135032i 0.00531686i
\(646\) −13.4923 + 23.2906i −0.530848 + 0.916357i
\(647\) 12.3759i 0.486545i 0.969958 + 0.243273i \(0.0782209\pi\)
−0.969958 + 0.243273i \(0.921779\pi\)
\(648\) 5.64760 + 1.01811i 0.221859 + 0.0399950i
\(649\) 4.44112 2.56408i 0.174329 0.100649i
\(650\) 12.5669 + 42.1720i 0.492915 + 1.65412i
\(651\) −5.45012 + 3.14663i −0.213607 + 0.123326i
\(652\) −3.60962 + 7.14188i −0.141364 + 0.279698i
\(653\) 19.0047 0.743712 0.371856 0.928291i \(-0.378722\pi\)
0.371856 + 0.928291i \(0.378722\pi\)
\(654\) −29.8302 + 31.5375i −1.16645 + 1.23321i
\(655\) 0.958094 + 0.553156i 0.0374358 + 0.0216136i
\(656\) −24.7537 10.8277i −0.966468 0.422751i
\(657\) 55.9509 2.18285
\(658\) −2.20766 2.08814i −0.0860634 0.0814042i
\(659\) 8.04046 13.9265i 0.313212 0.542499i −0.665844 0.746091i \(-0.731928\pi\)
0.979056 + 0.203592i \(0.0652616\pi\)
\(660\) 2.13498 + 3.26418i 0.0831040 + 0.127058i
\(661\) 1.29673 + 0.748665i 0.0504368 + 0.0291197i 0.525006 0.851098i \(-0.324063\pi\)
−0.474570 + 0.880218i \(0.657396\pi\)
\(662\) 1.97186 8.27294i 0.0766386 0.321537i
\(663\) 68.2261 39.3904i 2.64968 1.52980i
\(664\) 21.5842 + 18.2524i 0.837630 + 0.708331i
\(665\) 0.543796 1.81516i 0.0210875 0.0703889i
\(666\) 23.7409 25.0998i 0.919943 0.972596i
\(667\) 2.65053 + 4.59086i 0.102629 + 0.177759i
\(668\) −10.4390 + 6.82780i −0.403898 + 0.264175i
\(669\) −25.5721 + 44.2921i −0.988673 + 1.71243i
\(670\) 0.184404 0.773667i 0.00712416 0.0298894i
\(671\) 6.68047 + 3.85697i 0.257897 + 0.148897i
\(672\) 15.0971 20.0113i 0.582381 0.771954i
\(673\) 16.8784i 0.650614i 0.945608 + 0.325307i \(0.105468\pi\)
−0.945608 + 0.325307i \(0.894532\pi\)
\(674\) −4.23641 14.2165i −0.163180 0.547600i
\(675\) −15.0566 + 26.0789i −0.579530 + 1.00378i
\(676\) −2.99921 53.8594i −0.115354 2.07152i
\(677\) 9.76982i 0.375485i −0.982218 0.187742i \(-0.939883\pi\)
0.982218 0.187742i \(-0.0601170\pi\)
\(678\) −5.15403 17.2959i −0.197939 0.664244i
\(679\) 1.59152 + 2.75660i 0.0610771 + 0.105789i
\(680\) 1.17009 + 3.25345i 0.0448709 + 0.124764i
\(681\) 30.7330 + 53.2312i 1.17769 + 2.03982i
\(682\) 4.76901 + 1.13670i 0.182615 + 0.0435264i
\(683\) 28.9124 1.10630 0.553152 0.833080i \(-0.313425\pi\)
0.553152 + 0.833080i \(0.313425\pi\)
\(684\) −10.4613 + 43.6073i −0.399997 + 1.66737i
\(685\) −4.57478 −0.174793
\(686\) −24.7554 5.90048i −0.945166 0.225281i
\(687\) −17.1592 29.7206i −0.654663 1.13391i
\(688\) 0.619401 + 0.270937i 0.0236144 + 0.0103294i
\(689\) −15.5409 26.9177i −0.592062 1.02548i
\(690\) −2.13083 7.15063i −0.0811194 0.272220i
\(691\) 22.5621i 0.858301i 0.903233 + 0.429151i \(0.141187\pi\)
−0.903233 + 0.429151i \(0.858813\pi\)
\(692\) −23.8036 + 1.32552i −0.904877 + 0.0503888i
\(693\) 9.74896 16.8857i 0.370332 0.641434i
\(694\) −1.89292 6.35226i −0.0718543 0.241128i
\(695\) 0.138735i 0.00526251i
\(696\) −4.94750 4.18379i −0.187535 0.158586i
\(697\) −25.5419 14.7466i −0.967468 0.558568i
\(698\) 9.84212 41.2926i 0.372530 1.56295i
\(699\) −19.5607 + 33.8801i −0.739853 + 1.28146i
\(700\) 8.36643 + 12.7914i 0.316221 + 0.483471i
\(701\) −7.98011 13.8220i −0.301405 0.522048i 0.675050 0.737772i \(-0.264122\pi\)
−0.976454 + 0.215724i \(0.930789\pi\)
\(702\) 37.5926 39.7442i 1.41884 1.50005i
\(703\) 14.2031 + 15.0601i 0.535681 + 0.568003i
\(704\) −19.2568 + 3.24385i −0.725769 + 0.122257i
\(705\) 0.957424 0.552769i 0.0360587 0.0208185i
\(706\) 1.78634 7.49457i 0.0672297 0.282062i
\(707\) 12.1201 + 6.99752i 0.455822 + 0.263169i
\(708\) 10.0348 6.56338i 0.377129 0.246667i
\(709\) 22.2760 38.5831i 0.836592 1.44902i −0.0561354 0.998423i \(-0.517878\pi\)
0.892728 0.450597i \(-0.148789\pi\)
\(710\) 1.00339 + 0.949068i 0.0376565 + 0.0356179i
\(711\) −30.8656 −1.15755
\(712\) −23.8711 + 8.58514i −0.894608 + 0.321742i
\(713\) −8.12210 4.68930i −0.304175 0.175616i
\(714\) 18.8035 19.8797i 0.703702 0.743979i
\(715\) 4.32048 0.161577
\(716\) −36.6021 18.4992i −1.36788 0.691349i
\(717\) −46.6225 + 26.9175i −1.74115 + 1.00525i
\(718\) 1.62747 + 5.46145i 0.0607365 + 0.203819i
\(719\) −12.6303 + 7.29208i −0.471029 + 0.271949i −0.716670 0.697412i \(-0.754335\pi\)
0.245641 + 0.969361i \(0.421001\pi\)
\(720\) 3.41625 + 4.63800i 0.127316 + 0.172848i
\(721\) 24.1068i 0.897786i
\(722\) −25.7285 7.74892i −0.957515 0.288385i
\(723\) 29.1993i 1.08593i
\(724\) 10.3363 + 15.8032i 0.384145 + 0.587320i
\(725\) 3.42141 1.97535i 0.127068 0.0733628i
\(726\) 19.4991 5.81059i 0.723681 0.215651i
\(727\) 23.1083 13.3416i 0.857038 0.494811i −0.00598134 0.999982i \(-0.501904\pi\)
0.863019 + 0.505171i \(0.168571\pi\)
\(728\) −9.39715 26.1289i −0.348282 0.968402i
\(729\) −41.9462 −1.55356
\(730\) 3.12853 + 2.95916i 0.115792 + 0.109524i
\(731\) 0.639124 + 0.368998i 0.0236389 + 0.0136479i
\(732\) 16.0974 + 8.13589i 0.594978 + 0.300711i
\(733\) −3.76480 −0.139056 −0.0695280 0.997580i \(-0.522149\pi\)
−0.0695280 + 0.997580i \(0.522149\pi\)
\(734\) −25.5951 + 27.0601i −0.944733 + 0.998805i
\(735\) 1.83306 3.17496i 0.0676136 0.117110i
\(736\) 37.0760 + 4.57327i 1.36664 + 0.168573i
\(737\) 4.24670 + 2.45184i 0.156429 + 0.0903145i
\(738\) −47.7987 11.3929i −1.75949 0.419377i
\(739\) −9.58864 + 5.53600i −0.352724 + 0.203645i −0.665884 0.746055i \(-0.731946\pi\)
0.313161 + 0.949700i \(0.398612\pi\)
\(740\) 2.65498 0.147845i 0.0975991 0.00543488i
\(741\) 53.9587 + 57.2145i 1.98222 + 2.10183i
\(742\) −7.84325 7.41864i −0.287935 0.272347i
\(743\) −1.49113 2.58272i −0.0547044 0.0947508i 0.837376 0.546627i \(-0.184088\pi\)
−0.892081 + 0.451876i \(0.850755\pi\)
\(744\) 11.2813 + 2.03372i 0.413594 + 0.0745596i
\(745\) −1.52543 + 2.64212i −0.0558873 + 0.0967997i
\(746\) 1.18224 + 0.281788i 0.0432849 + 0.0103170i
\(747\) 44.5215 + 25.7045i 1.62896 + 0.940479i
\(748\) −21.2840 + 1.18522i −0.778222 + 0.0433359i
\(749\) 21.1156i 0.771548i
\(750\) −10.7431 + 3.20136i −0.392283 + 0.116897i
\(751\) −6.22840 + 10.7879i −0.227278 + 0.393656i −0.957000 0.290087i \(-0.906316\pi\)
0.729723 + 0.683743i \(0.239649\pi\)
\(752\) 0.614550 + 5.50090i 0.0224103 + 0.200597i
\(753\) 25.7970i 0.940094i
\(754\) −6.87832 + 2.04968i −0.250494 + 0.0746451i
\(755\) 1.44504 + 2.50289i 0.0525905 + 0.0910894i
\(756\) 8.57124 16.9588i 0.311733 0.616786i
\(757\) 7.03074 + 12.1776i 0.255537 + 0.442603i 0.965041 0.262098i \(-0.0844145\pi\)
−0.709504 + 0.704701i \(0.751081\pi\)
\(758\) −5.27496 + 22.1311i −0.191595 + 0.803836i
\(759\) 46.0031 1.66981
\(760\) −2.89128 + 1.88505i −0.104878 + 0.0683779i
\(761\) −0.551543 −0.0199934 −0.00999671 0.999950i \(-0.503182\pi\)
−0.00999671 + 0.999950i \(0.503182\pi\)
\(762\) 17.7914 74.6435i 0.644513 2.70405i
\(763\) 8.35109 + 14.4645i 0.302330 + 0.523650i
\(764\) 1.87366 3.70717i 0.0677867 0.134121i
\(765\) 3.14402 + 5.44561i 0.113672 + 0.196886i
\(766\) 31.4551 9.37337i 1.13652 0.338673i
\(767\) 13.2821i 0.479588i
\(768\) −44.5347 + 10.0764i −1.60701 + 0.363601i
\(769\) 15.8424 27.4398i 0.571291 0.989505i −0.425143 0.905126i \(-0.639776\pi\)
0.996434 0.0843789i \(-0.0268906\pi\)
\(770\) 1.43818 0.428566i 0.0518284 0.0154445i
\(771\) 53.8007i 1.93758i
\(772\) 21.1749 1.17914i 0.762102 0.0424383i
\(773\) 29.1564 + 16.8335i 1.04868 + 0.605458i 0.922281 0.386521i \(-0.126323\pi\)