Properties

Label 76.2.f.a.31.8
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 31.8
Root \(-0.327894 - 1.37568i\) of defining polynomial
Character \(\chi\) \(=\) 76.31
Dual form 76.2.f.a.27.8

$q$-expansion

\(f(q)\) \(=\) \(q+(1.35532 + 0.403874i) q^{2} +(-1.42689 - 2.47144i) q^{3} +(1.67377 + 1.09475i) q^{4} +(-0.139977 - 0.242447i) q^{5} +(-0.935735 - 3.92587i) q^{6} +1.55280i q^{7} +(1.82635 + 2.15973i) q^{8} +(-2.57201 + 4.45486i) q^{9} +O(q^{10})\) \(q+(1.35532 + 0.403874i) q^{2} +(-1.42689 - 2.47144i) q^{3} +(1.67377 + 1.09475i) q^{4} +(-0.139977 - 0.242447i) q^{5} +(-0.935735 - 3.92587i) q^{6} +1.55280i q^{7} +(1.82635 + 2.15973i) q^{8} +(-2.57201 + 4.45486i) q^{9} +(-0.0917953 - 0.385126i) q^{10} +2.44102i q^{11} +(0.317338 - 5.69872i) q^{12} +(-5.47527 - 3.16115i) q^{13} +(-0.627134 + 2.10453i) q^{14} +(-0.399463 + 0.691890i) q^{15} +(1.60302 + 3.66474i) 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} +(-0.985862 + 3.30835i) q^{22} +(-5.71910 - 3.30192i) q^{23} +(2.73166 - 7.59541i) q^{24} +(2.46081 - 4.26225i) q^{25} +(-6.14402 - 6.49568i) q^{26} +6.11856 q^{27} +(-1.69993 + 2.59903i) q^{28} +(0.695180 + 0.401362i) q^{29} +(-0.820836 + 0.776398i) q^{30} +1.42017 q^{31} +(0.692516 + 5.61431i) q^{32} +(6.03282 - 3.48305i) q^{33} +(1.43172 + 6.00679i) q^{34} +(0.376472 - 0.217356i) q^{35} +(-9.18194 + 4.64069i) q^{36} -4.74916i q^{37} +(5.50571 - 2.77257i) q^{38} +18.0424i q^{39} +(0.267975 - 0.745107i) q^{40} +(-5.84961 + 3.37728i) q^{41} +(6.09608 - 1.45301i) q^{42} +(-0.146372 + 0.0845082i) q^{43} +(-2.67231 + 4.08570i) q^{44} +1.44009 q^{45} +(-6.41763 - 6.78495i) q^{46} +(-1.19839 - 0.691890i) q^{47} +(6.76985 - 9.19095i) q^{48} +4.58882 q^{49} +(5.05660 - 4.78285i) q^{50} +(6.23039 - 10.7914i) q^{51} +(-5.70367 - 11.2851i) q^{52} +(4.25758 + 2.45811i) q^{53} +(8.29259 + 2.47113i) 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} +(-1.42606 + 0.720753i) q^{60} +(-1.58007 + 2.73676i) q^{61} +(1.92478 + 0.573570i) q^{62} +(-6.91749 - 3.99381i) q^{63} +(-1.32889 + 7.88886i) q^{64} +1.76995i q^{65} +(9.58311 - 2.28414i) q^{66} +(1.00443 - 1.73973i) q^{67} +(-0.485543 + 8.71934i) q^{68} +18.8459i q^{69} +(0.598023 - 0.142539i) q^{70} +(1.74422 + 3.02109i) q^{71} +(-14.3187 + 2.58127i) q^{72} +(-5.43844 - 9.41965i) q^{73} +(1.91806 - 6.43662i) q^{74} -14.0452 q^{75} +(8.58176 - 1.53410i) q^{76} -3.79040 q^{77} +(-7.28685 + 24.4532i) q^{78} +(-3.00015 - 5.19641i) q^{79} +(0.664120 - 0.901629i) q^{80} +(-1.01446 - 1.75709i) q^{81} +(-9.29208 + 2.21478i) q^{82} +9.99393i q^{83} +(8.84895 + 0.492761i) q^{84} +(0.611199 - 1.05863i) q^{85} +(-0.232512 + 0.0554194i) q^{86} -2.29079i q^{87} +(-5.27194 + 4.45815i) q^{88} +(7.76733 + 4.48447i) q^{89} +(1.95178 + 0.581615i) q^{90} +(4.90862 - 8.50198i) q^{91} +(-5.95767 - 11.7877i) 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} +(6.21931 + 1.85330i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.35532 + 0.403874i 0.958354 + 0.285582i
\(3\) −1.42689 2.47144i −0.823814 1.42689i −0.902823 0.430013i \(-0.858509\pi\)
0.0790092 0.996874i \(-0.474824\pi\)
\(4\) 1.67377 + 1.09475i 0.836886 + 0.547377i
\(5\) −0.139977 0.242447i −0.0625997 0.108426i 0.833027 0.553232i \(-0.186606\pi\)
−0.895627 + 0.444806i \(0.853272\pi\)
\(6\) −0.935735 3.92587i −0.382012 1.60273i
\(7\) 1.55280i 0.586902i 0.955974 + 0.293451i \(0.0948038\pi\)
−0.955974 + 0.293451i \(0.905196\pi\)
\(8\) 1.82635 + 2.15973i 0.645712 + 0.763581i
\(9\) −2.57201 + 4.45486i −0.857337 + 1.48495i
\(10\) −0.0917953 0.385126i −0.0290282 0.121788i
\(11\) 2.44102i 0.735994i 0.929827 + 0.367997i \(0.119956\pi\)
−0.929827 + 0.367997i \(0.880044\pi\)
\(12\) 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 \(-0.673623\pi\)
\(14\) −0.627134 + 2.10453i −0.167609 + 0.562460i
\(15\) −0.399463 + 0.691890i −0.103141 + 0.178645i
\(16\) 1.60302 + 3.66474i 0.400756 + 0.916185i
\(17\) 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
\(22\) −0.985862 + 3.30835i −0.210187 + 0.705343i
\(23\) −5.71910 3.30192i −1.19251 0.688498i −0.233638 0.972324i \(-0.575063\pi\)
−0.958876 + 0.283825i \(0.908396\pi\)
\(24\) 2.73166 7.59541i 0.557597 1.55041i
\(25\) 2.46081 4.26225i 0.492163 0.852451i
\(26\) −6.14402 6.49568i −1.20494 1.27391i
\(27\) 6.11856 1.17752
\(28\) −1.69993 + 2.59903i −0.321257 + 0.491170i
\(29\) 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 \(-0.459293\pi\)
0.127535 + 0.991834i \(0.459293\pi\)
\(32\) 0.692516 + 5.61431i 0.122421 + 0.992478i
\(33\) 6.03282 3.48305i 1.05018 0.606322i
\(34\) 1.43172 + 6.00679i 0.245539 + 1.03016i
\(35\) 0.376472 0.217356i 0.0636353 0.0367399i
\(36\) −9.18194 + 4.64069i −1.53032 + 0.773448i
\(37\) 4.74916i 0.780757i −0.920654 0.390379i \(-0.872344\pi\)
0.920654 0.390379i \(-0.127656\pi\)
\(38\) 5.50571 2.77257i 0.893145 0.449770i
\(39\) 18.0424i 2.88910i
\(40\) 0.267975 0.745107i 0.0423705 0.117812i
\(41\) −5.84961 + 3.37728i −0.913556 + 0.527442i −0.881574 0.472047i \(-0.843515\pi\)
−0.0319825 + 0.999488i \(0.510182\pi\)
\(42\) 6.09608 1.45301i 0.940645 0.224204i
\(43\) −0.146372 + 0.0845082i −0.0223216 + 0.0128874i −0.511119 0.859510i \(-0.670769\pi\)
0.488798 + 0.872397i \(0.337436\pi\)
\(44\) −2.67231 + 4.08570i −0.402866 + 0.615943i
\(45\) 1.44009 0.214676
\(46\) −6.41763 6.78495i −0.946228 1.00039i
\(47\) −1.19839 0.691890i −0.174803 0.100923i 0.410046 0.912065i \(-0.365513\pi\)
−0.584849 + 0.811142i \(0.698846\pi\)
\(48\) 6.76985 9.19095i 0.977144 1.32660i
\(49\) 4.58882 0.655546
\(50\) 5.05660 4.78285i 0.715111 0.676397i
\(51\) 6.23039 10.7914i 0.872429 1.51109i
\(52\) −5.70367 11.2851i −0.790957 1.56496i
\(53\) 4.25758 + 2.45811i 0.584823 + 0.337648i 0.763048 0.646342i \(-0.223702\pi\)
−0.178225 + 0.983990i \(0.557035\pi\)
\(54\) 8.29259 + 2.47113i 1.12848 + 0.336278i
\(55\) 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 0.789513 0.613734i \(-0.210333\pi\)
−0.926266 + 0.376872i \(0.877000\pi\)
\(60\) −1.42606 + 0.720753i −0.184104 + 0.0930487i
\(61\) −1.58007 + 2.73676i −0.202307 + 0.350406i −0.949271 0.314458i \(-0.898177\pi\)
0.746964 + 0.664864i \(0.231511\pi\)
\(62\) 1.92478 + 0.573570i 0.244448 + 0.0728435i
\(63\) −6.91749 3.99381i −0.871521 0.503173i
\(64\) −1.32889 + 7.88886i −0.166112 + 0.986107i
\(65\) 1.76995i 0.219536i
\(66\) 9.58311 2.28414i 1.17960 0.281159i
\(67\) 1.00443 1.73973i 0.122711 0.212542i −0.798125 0.602492i \(-0.794175\pi\)
0.920836 + 0.389950i \(0.127508\pi\)
\(68\) −0.485543 + 8.71934i −0.0588808 + 1.05737i
\(69\) 18.8459i 2.26878i
\(70\) 0.598023 0.142539i 0.0714774 0.0170367i
\(71\) 1.74422 + 3.02109i 0.207001 + 0.358537i 0.950769 0.309902i \(-0.100296\pi\)
−0.743767 + 0.668439i \(0.766963\pi\)
\(72\) −14.3187 + 2.58127i −1.68747 + 0.304205i
\(73\) −5.43844 9.41965i −0.636521 1.10249i −0.986191 0.165613i \(-0.947040\pi\)
0.349670 0.936873i \(-0.386294\pi\)
\(74\) 1.91806 6.43662i 0.222970 0.748242i
\(75\) −14.0452 −1.62180
\(76\) 8.58176 1.53410i 0.984395 0.175973i
\(77\) −3.79040 −0.431956
\(78\) −7.28685 + 24.4532i −0.825074 + 2.76878i
\(79\) −3.00015 5.19641i −0.337543 0.584641i 0.646427 0.762976i \(-0.276262\pi\)
−0.983970 + 0.178334i \(0.942929\pi\)
\(80\) 0.664120 0.901629i 0.0742509 0.100805i
\(81\) −1.01446 1.75709i −0.112717 0.195232i
\(82\) −9.29208 + 2.21478i −1.02614 + 0.244581i
\(83\) 9.99393i 1.09698i 0.836158 + 0.548488i \(0.184796\pi\)
−0.836158 + 0.548488i \(0.815204\pi\)
\(84\) 8.84895 + 0.492761i 0.965500 + 0.0537646i
\(85\) 0.611199 1.05863i 0.0662939 0.114824i
\(86\) −0.232512 + 0.0554194i −0.0250724 + 0.00597603i
\(87\) 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 \(0.508987\pi\)
\(90\) 1.95178 + 0.581615i 0.205736 + 0.0613076i
\(91\) 4.90862 8.50198i 0.514563 0.891250i
\(92\) −5.95767 11.7877i −0.621130 1.22895i
\(93\) −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 \(0.366519\pi\)
\(98\) 6.21931 + 1.85330i 0.628245 + 0.187212i
\(99\) −10.8744 6.27832i −1.09292 0.630995i
\(100\) 8.78496 4.44005i 0.878496 0.444005i
\(101\) −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 \(-0.222812\pi\)
0.764852 + 0.644207i \(0.222812\pi\)
\(104\) −3.17252 17.5985i −0.311091 1.72567i
\(105\) −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 \(-0.271696\pi\)
0.657305 + 0.753624i \(0.271696\pi\)
\(108\) 10.2411 + 6.69832i 0.985448 + 0.644546i
\(109\) −9.31513 + 5.37809i −0.892228 + 0.515128i −0.874671 0.484718i \(-0.838922\pi\)
−0.0175573 + 0.999846i \(0.505589\pi\)
\(110\) 0.940100 0.224074i 0.0896350 0.0213646i
\(111\) −11.7373 + 6.77651i −1.11405 + 0.643198i
\(112\) −5.69060 + 2.48917i −0.537711 + 0.235205i
\(113\) 4.47179i 0.420671i −0.977629 0.210336i \(-0.932544\pi\)
0.977629 0.210336i \(-0.0674556\pi\)
\(114\) −14.7083 9.65090i −1.37756 0.903890i
\(115\) 1.84877i 0.172399i
\(116\) 0.724179 + 1.43284i 0.0672383 + 0.133036i
\(117\) 28.1649 16.2610i 2.60385 1.50333i
\(118\) −0.688849 2.89006i −0.0634137 0.266052i
\(119\) −5.87180 + 3.39008i −0.538267 + 0.310769i
\(120\) −2.22386 + 0.400900i −0.203009 + 0.0365970i
\(121\) 5.04144 0.458313
\(122\) −3.24680 + 3.07103i −0.293951 + 0.278038i
\(123\) 16.6935 + 9.63798i 1.50520 + 0.869027i
\(124\) 2.37704 + 1.55474i 0.213465 + 0.139620i
\(125\) −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 \(0.486221\pi\)
−0.886852 + 0.462053i \(0.847113\pi\)
\(128\) −4.98717 + 10.1552i −0.440808 + 0.897601i
\(129\) 0.417714 + 0.241167i 0.0367777 + 0.0212336i
\(130\) −0.714838 + 2.39885i −0.0626954 + 0.210393i
\(131\) 3.42232 1.97588i 0.299010 0.172633i −0.342988 0.939340i \(-0.611439\pi\)
0.641998 + 0.766706i \(0.278106\pi\)
\(132\) 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
\(136\) −4.17958 + 11.6214i −0.358396 + 0.996525i
\(137\) 8.17058 14.1519i 0.698060 1.20908i −0.271078 0.962557i \(-0.587380\pi\)
0.969138 0.246518i \(-0.0792865\pi\)
\(138\) −7.61136 + 25.5422i −0.647922 + 2.17429i
\(139\) 0.429169 + 0.247781i 0.0364017 + 0.0210165i 0.518090 0.855326i \(-0.326643\pi\)
−0.481689 + 0.876342i \(0.659976\pi\)
\(140\) 0.868079 + 0.0483397i 0.0733661 + 0.00408545i
\(141\) 3.94900i 0.332566i
\(142\) 1.14384 + 4.79898i 0.0959890 + 0.402721i
\(143\) 7.71641 13.3652i 0.645279 1.11766i
\(144\) −20.4489 2.28451i −1.70407 0.190376i
\(145\) 0.224726i 0.0186625i
\(146\) −3.56646 14.9631i −0.295162 1.23835i
\(147\) −6.54773 11.3410i −0.540048 0.935390i
\(148\) 5.19917 7.94901i 0.427369 0.653405i
\(149\) −5.44884 9.43768i −0.446387 0.773165i 0.551761 0.834002i \(-0.313956\pi\)
−0.998148 + 0.0608378i \(0.980623\pi\)
\(150\) −19.0357 5.67249i −1.55426 0.463157i
\(151\) 10.3234 0.840108 0.420054 0.907499i \(-0.362011\pi\)
0.420054 + 0.907499i \(0.362011\pi\)
\(152\) 12.2506 + 1.38676i 0.993654 + 0.112481i
\(153\) −22.4610 −1.81586
\(154\) −5.13720 1.53084i −0.413967 0.123359i
\(155\) −0.198792 0.344317i −0.0159673 0.0276562i
\(156\) −19.7520 + 30.1989i −1.58143 + 2.41784i
\(157\) −0.891154 1.54352i −0.0711218 0.123187i 0.828271 0.560327i \(-0.189325\pi\)
−0.899393 + 0.437141i \(0.855991\pi\)
\(158\) −1.96746 8.25446i −0.156523 0.656690i
\(159\) 14.0298i 1.11264i
\(160\) 1.26424 0.953773i 0.0999468 0.0754024i
\(161\) 5.12721 8.88060i 0.404081 0.699889i
\(162\) −0.665268 2.79113i −0.0522684 0.219292i
\(163\) 4.00112i 0.313392i 0.987647 + 0.156696i \(0.0500843\pi\)
−0.987647 + 0.156696i \(0.949916\pi\)
\(164\) −13.4882 0.751102i −1.05325 0.0586512i
\(165\) −1.68892 0.975096i −0.131482 0.0759111i
\(166\) −4.03629 + 13.5449i −0.313277 + 1.05129i
\(167\) −3.11841 + 5.40125i −0.241310 + 0.417961i −0.961088 0.276243i \(-0.910910\pi\)
0.719778 + 0.694205i \(0.244244\pi\)
\(168\) 11.7941 + 4.24171i 0.909937 + 0.327255i
\(169\) 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 \(0.183637\pi\)
\(174\) 0.925192 3.10475i 0.0701386 0.235371i
\(175\) 6.61841 + 3.82114i 0.500305 + 0.288851i
\(176\) −8.94569 + 3.91301i −0.674306 + 0.294954i
\(177\) −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 \(-0.777921\pi\)
−0.766334 + 0.642443i \(0.777921\pi\)
\(180\) 2.41038 + 1.57655i 0.179659 + 0.117509i
\(181\) −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
\(184\) −3.31380 18.3822i −0.244297 1.35515i
\(185\) −1.15142 + 0.664774i −0.0846542 + 0.0488751i
\(186\) −1.32890 5.57541i −0.0974400 0.408809i
\(187\) −9.23054 + 5.32925i −0.675004 + 0.389714i
\(188\) −1.24838 2.47001i −0.0910475 0.180144i
\(189\) 9.50088i 0.691087i
\(190\) −1.44288 0.946750i −0.104677 0.0686845i
\(191\) 2.07688i 0.150278i −0.997173 0.0751389i \(-0.976060\pi\)
0.997173 0.0751389i \(-0.0239400\pi\)
\(192\) 21.3930 7.97223i 1.54391 0.575346i
\(193\) −9.18321 + 5.30193i −0.661022 + 0.381641i −0.792666 0.609656i \(-0.791308\pi\)
0.131644 + 0.991297i \(0.457974\pi\)
\(194\) −2.81997 + 0.672143i −0.202462 + 0.0482571i
\(195\) 4.37434 2.52552i 0.313253 0.180857i
\(196\) 7.68064 + 5.02363i 0.548617 + 0.358831i
\(197\) −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 0.313291 0.949657i \(-0.398568\pi\)
−0.665781 + 0.746147i \(0.731902\pi\)
\(200\) 13.6996 2.46967i 0.968710 0.174632i
\(201\) −5.73285 −0.404364
\(202\) −9.25997 + 8.75866i −0.651529 + 0.616257i
\(203\) −0.623234 + 1.07947i −0.0437425 + 0.0757641i
\(204\) 22.2421 11.2415i 1.55726 0.787064i
\(205\) 1.63762 + 0.945483i 0.114377 + 0.0660354i
\(206\) 21.0410 + 6.27006i 1.46600 + 0.436856i
\(207\) 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 0.557481 0.830190i \(-0.311768\pi\)
−0.997706 + 0.0676974i \(0.978435\pi\)
\(212\) 4.43518 + 8.77532i 0.304610 + 0.602692i
\(213\) 4.97762 8.62149i 0.341061 0.590735i
\(214\) 18.4302 + 5.49205i 1.25986 + 0.375429i
\(215\) 0.0409776 + 0.0236584i 0.00279465 + 0.00161349i
\(216\) 11.1746 + 13.2145i 0.760337 + 0.899130i
\(217\) 2.20524i 0.149701i
\(218\) −14.7970 + 3.52689i −1.00218 + 0.238871i
\(219\) −15.5201 + 26.8815i −1.04875 + 1.81649i
\(220\) 1.36463 + 0.0759906i 0.0920034 + 0.00512329i
\(221\) 27.6058i 1.85697i
\(222\) −18.6446 + 4.44395i −1.25134 + 0.298259i
\(223\) −8.96078 15.5205i −0.600058 1.03933i −0.992812 0.119688i \(-0.961811\pi\)
0.392753 0.919644i \(-0.371523\pi\)
\(224\) −8.71788 + 1.07534i −0.582488 + 0.0718489i
\(225\) 12.6585 + 21.9251i 0.843899 + 1.46168i
\(226\) 1.80604 6.06070i 0.120136 0.403152i
\(227\) −21.5385 −1.42956 −0.714781 0.699349i \(-0.753473\pi\)
−0.714781 + 0.699349i \(0.753473\pi\)
\(228\) −16.0366 19.0203i −1.06205 1.25965i
\(229\) −12.0256 −0.794674 −0.397337 0.917673i \(-0.630066\pi\)
−0.397337 + 0.917673i \(0.630066\pi\)
\(230\) −0.746672 + 2.50568i −0.0492341 + 0.165219i
\(231\) 5.40847 + 9.36775i 0.355851 + 0.616353i
\(232\) 0.402806 + 2.23443i 0.0264455 + 0.146698i
\(233\) 6.85432 + 11.8720i 0.449041 + 0.777763i 0.998324 0.0578742i \(-0.0184322\pi\)
−0.549282 + 0.835637i \(0.685099\pi\)
\(234\) 44.7398 10.6638i 2.92473 0.697113i
\(235\) 0.387395i 0.0252709i
\(236\) 0.233611 4.19516i 0.0152068 0.273082i
\(237\) −8.56174 + 14.8294i −0.556145 + 0.963271i
\(238\) −9.32732 + 2.22318i −0.604600 + 0.144107i
\(239\) 18.8645i 1.22024i −0.792308 0.610122i \(-0.791120\pi\)
0.792308 0.610122i \(-0.208880\pi\)
\(240\) −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 \(0.559771\pi\)
\(242\) 6.83276 + 2.03611i 0.439226 + 0.130886i
\(243\) 6.28281 10.8821i 0.403042 0.698090i
\(244\) −5.64075 + 2.85092i −0.361112 + 0.182512i
\(245\) −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
\(250\) −3.76453 1.12180i −0.238090 0.0709489i
\(251\) 7.82852 + 4.51980i 0.494132 + 0.285287i 0.726287 0.687392i \(-0.241244\pi\)
−0.232155 + 0.972679i \(0.574578\pi\)
\(252\) −7.20605 14.2577i −0.453938 0.898149i
\(253\) 8.06004 13.9604i 0.506731 0.877683i
\(254\) −19.5347 + 18.4771i −1.22571 + 1.15936i
\(255\) −3.48845 −0.218455
\(256\) −10.8606 + 11.7493i −0.678789 + 0.734333i
\(257\) −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
\(260\) −1.93767 + 2.96250i −0.120169 + 0.183726i
\(261\) −3.57602 + 2.06462i −0.221350 + 0.127797i
\(262\) 5.43634 1.29576i 0.335858 0.0800521i
\(263\) 15.0334 8.67952i 0.926997 0.535202i 0.0411363 0.999154i \(-0.486902\pi\)
0.885860 + 0.463952i \(0.153569\pi\)
\(264\) 18.5405 + 6.66802i 1.14109 + 0.410388i
\(265\) 1.37632i 0.0845466i
\(266\) 4.30523 + 8.54925i 0.263971 + 0.524188i
\(267\) 25.5953i 1.56641i
\(268\) 3.58577 1.81230i 0.219036 0.110704i
\(269\) −4.05939 + 2.34369i −0.247505 + 0.142897i −0.618621 0.785689i \(-0.712308\pi\)
0.371116 + 0.928586i \(0.378975\pi\)
\(270\) −0.561655 2.35642i −0.0341812 0.143407i
\(271\) −2.27663 + 1.31441i −0.138295 + 0.0798449i −0.567551 0.823338i \(-0.692109\pi\)
0.429256 + 0.903183i \(0.358776\pi\)
\(272\) −10.3582 + 14.0626i −0.628060 + 0.852672i
\(273\) −28.0162 −1.69562
\(274\) 16.7893 15.8804i 1.01428 0.959370i
\(275\) 10.4042 + 6.00688i 0.627398 + 0.362229i
\(276\) −20.6316 + 31.5437i −1.24188 + 1.89871i
\(277\) 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
\(280\) 1.15700 + 0.416110i 0.0691440 + 0.0248673i
\(281\) 2.94079 + 1.69786i 0.175433 + 0.101286i 0.585145 0.810929i \(-0.301038\pi\)
−0.409712 + 0.912215i \(0.634371\pi\)
\(282\) −1.59490 + 5.35214i −0.0949747 + 0.318716i
\(283\) −26.3842 + 15.2329i −1.56838 + 0.905504i −0.572020 + 0.820240i \(0.693840\pi\)
−0.996358 + 0.0852641i \(0.972827\pi\)
\(284\) −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
\(288\) −26.7921 11.3550i −1.57874 0.669100i
\(289\) −1.03282 + 1.78891i −0.0607544 + 0.105230i
\(290\) 0.0907610 0.304575i 0.00532967 0.0178853i
\(291\) 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 \(0.676534\pi\)
\(294\) −4.29392 18.0151i −0.250427 1.05066i
\(295\) −0.294068 + 0.509341i −0.0171213 + 0.0296550i
\(296\) 10.2569 8.67363i 0.596171 0.504144i
\(297\) 14.9355i 0.866646i
\(298\) −3.57329 14.9917i −0.206995 0.868446i
\(299\) 20.8757 + 36.1578i 1.20727 + 2.09106i
\(300\) −23.5085 15.3761i −1.35726 0.887737i
\(301\) −0.131224 0.227287i −0.00756363 0.0131006i
\(302\) 13.9915 + 4.16936i 0.805121 + 0.239920i
\(303\) 25.7205 1.47760
\(304\) 16.0434 + 6.82719i 0.920150 + 0.391566i
\(305\) 0.884694 0.0506574
\(306\) −30.4418 9.07140i −1.74024 0.518578i
\(307\) −3.28294 5.68622i −0.187367 0.324530i 0.757004 0.653410i \(-0.226662\pi\)
−0.944372 + 0.328880i \(0.893329\pi\)
\(308\) −6.34427 4.14956i −0.361498 0.236443i
\(309\) −22.1521 38.3686i −1.26019 2.18271i
\(310\) −0.130365 0.546946i −0.00740424 0.0310644i
\(311\) 8.33297i 0.472519i −0.971690 0.236260i \(-0.924078\pi\)
0.971690 0.236260i \(-0.0759216\pi\)
\(312\) −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 \(0.116743\pi\)
\(314\) −0.584408 2.45188i −0.0329800 0.138367i
\(315\) 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 \(0.680874\pi\)
\(318\) 5.66627 19.0148i 0.317748 1.06630i
\(319\) −0.979731 + 1.69694i −0.0548544 + 0.0950107i
\(320\) 2.09865 0.782073i 0.117318 0.0437192i
\(321\) −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
\(326\) −1.61595 + 5.42279i −0.0894991 + 0.300340i
\(327\) 26.5833 + 15.3479i 1.47006 + 0.848739i
\(328\) −17.9775 6.46551i −0.992639 0.356998i
\(329\) 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 \(-0.552850\pi\)
−0.165272 + 0.986248i \(0.552850\pi\)
\(332\) −10.9409 + 16.7276i −0.600460 + 0.918044i
\(333\) 21.1568 + 12.2149i 1.15939 + 0.669372i
\(334\) −6.40787 + 6.06097i −0.350623 + 0.331641i
\(335\) −0.562390 −0.0307267
\(336\) 14.2717 + 10.5122i 0.778584 + 0.573488i
\(337\) 9.08412 5.24472i 0.494843 0.285698i −0.231738 0.972778i \(-0.574441\pi\)
0.726582 + 0.687080i \(0.241108\pi\)
\(338\) 8.84377 + 37.1040i 0.481038 + 2.01819i
\(339\) −11.0518 + 6.38074i −0.600250 + 0.346554i
\(340\) 2.18195 1.10279i 0.118333 0.0598071i
\(341\) 3.46666i 0.187730i
\(342\) −1.80938 + 31.6582i −0.0978399 + 1.71188i
\(343\) 17.9951i 0.971643i
\(344\) −0.449842 0.161784i −0.0242539 0.00872280i
\(345\) 4.56914 2.63799i 0.245994 0.142025i
\(346\) 16.3984 3.90857i 0.881583 0.210126i
\(347\) −4.05899 + 2.34346i −0.217898 + 0.125803i −0.604976 0.796243i \(-0.706817\pi\)
0.387079 + 0.922047i \(0.373484\pi\)
\(348\) 2.50786 3.83427i 0.134435 0.205538i
\(349\) 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
\(352\) −13.7046 + 1.69044i −0.730458 + 0.0901008i
\(353\) 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
\(356\) 8.09134 + 16.0093i 0.428840 + 0.848491i
\(357\) 16.7568 + 9.67453i 0.886863 + 0.512031i
\(358\) −27.7917 8.28171i −1.46884 0.437702i
\(359\) 3.48977 2.01482i 0.184183 0.106338i −0.405073 0.914284i \(-0.632754\pi\)
0.589257 + 0.807946i \(0.299421\pi\)
\(360\) 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
\(364\) 17.5235 8.85664i 0.918481 0.464214i
\(365\) −1.52251 + 2.63707i −0.0796920 + 0.138031i
\(366\) 12.2227 + 3.64226i 0.638890 + 0.190384i
\(367\) 22.8092 + 13.1689i 1.19063 + 0.687410i 0.958449 0.285262i \(-0.0920807\pi\)
0.232180 + 0.972673i \(0.425414\pi\)
\(368\) 2.93283 26.2521i 0.152884 1.36848i
\(369\) 34.7456i 1.80878i
\(370\) −1.82903 + 0.435951i −0.0950866 + 0.0226640i
\(371\) −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 \(0.992917\pi\)
\(374\) −14.6627 + 3.49486i −0.758188 + 0.180715i
\(375\) 3.96332 + 6.86468i 0.204665 + 0.354490i
\(376\) −0.694380 3.85183i −0.0358099 0.198643i
\(377\) −2.53753 4.39513i −0.130689 0.226361i
\(378\) −3.83716 + 12.8767i −0.197362 + 0.662307i
\(379\) 16.0874 0.826354 0.413177 0.910651i \(-0.364419\pi\)
0.413177 + 0.910651i \(0.364419\pi\)
\(380\) −1.57319 1.86589i −0.0807028 0.0957180i
\(381\) 54.2595 2.77980
\(382\) 0.838798 2.81483i 0.0429166 0.144019i
\(383\) −11.6043 20.0993i −0.592953 1.02703i −0.993832 0.110894i \(-0.964629\pi\)
0.400879 0.916131i \(-0.368705\pi\)
\(384\) 32.2141 2.16482i 1.64392 0.110473i
\(385\) 0.530570 + 0.918973i 0.0270403 + 0.0468352i
\(386\) −14.5875 + 3.47694i −0.742483 + 0.176972i
\(387\) 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 \(0.188244\pi\)
\(390\) 6.94861 1.65621i 0.351856 0.0838653i
\(391\) 28.8352i 1.45826i
\(392\) 8.38079 + 9.91063i 0.423294 + 0.500562i
\(393\) −9.76653 5.63871i −0.492656 0.284435i
\(394\) −24.5020 7.30141i −1.23440 0.367840i
\(395\) −0.839904 + 1.45476i −0.0422601 + 0.0731967i
\(396\) −11.3280 22.4132i −0.569253 1.12631i
\(397\) 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 \(0.523937\pi\)
\(402\) −7.76983 2.31535i −0.387524 0.115479i
\(403\) −7.77582 4.48937i −0.387341 0.223632i
\(404\) −16.0876 + 8.13091i −0.800387 + 0.404528i
\(405\) −0.284001 + 0.491905i −0.0141121 + 0.0244430i
\(406\) −1.28065 + 1.21132i −0.0635576 + 0.0601168i
\(407\) 11.5928 0.574633
\(408\) 34.6853 6.25281i 1.71718 0.309560i
\(409\) 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
\(412\) 25.9850 + 16.9958i 1.28019 + 0.837325i
\(413\) 2.82512 1.63108i 0.139015 0.0802603i
\(414\) 46.7322 11.1387i 2.29676 0.547435i
\(415\) 2.42300 1.39892i 0.118941 0.0686704i
\(416\) 13.9559 32.9290i 0.684246 1.61448i
\(417\) 1.41422i 0.0692547i
\(418\) 6.76788 + 13.4395i 0.331028 + 0.657349i
\(419\) 33.0168i 1.61298i −0.591250 0.806488i \(-0.701365\pi\)
0.591250 0.806488i \(-0.298635\pi\)
\(420\) −1.11918 2.21438i −0.0546105 0.108051i
\(421\) −23.8682 + 13.7803i −1.16326 + 0.671611i −0.952084 0.305836i \(-0.901064\pi\)
−0.211180 + 0.977447i \(0.567731\pi\)
\(422\) −4.19353 17.5939i −0.204138 0.856458i
\(423\) 6.16454 3.55910i 0.299730 0.173049i
\(424\) 2.46696 + 13.6846i 0.119806 + 0.664583i
\(425\) 21.4899 1.04241
\(426\) 10.2283 9.67453i 0.495561 0.468733i
\(427\) −4.24963 2.45353i −0.205654 0.118734i
\(428\) 22.7607 + 14.8870i 1.10018 + 0.719588i
\(429\) −44.0418 −2.12636
\(430\) 0.0459826 + 0.0486145i 0.00221748 + 0.00234440i
\(431\) −7.78027 + 13.4758i −0.374763 + 0.649108i −0.990291 0.139007i \(-0.955609\pi\)
0.615529 + 0.788114i \(0.288942\pi\)
\(432\) 9.80820 + 22.4229i 0.471897 + 1.07882i
\(433\) −24.5338 14.1646i −1.17902 0.680707i −0.223231 0.974765i \(-0.571661\pi\)
−0.955787 + 0.294059i \(0.904994\pi\)
\(434\) −0.890638 + 2.98880i −0.0427520 + 0.143467i
\(435\) −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 \(0.145990\pi\)
−0.0649131 + 0.997891i \(0.520677\pi\)
\(440\) 1.81882 + 0.654130i 0.0867088 + 0.0311844i
\(441\) −11.8025 + 20.4425i −0.562024 + 0.973454i
\(442\) 11.1493 37.4147i 0.530317 1.77963i
\(443\) 21.8508 + 12.6156i 1.03816 + 0.599385i 0.919313 0.393527i \(-0.128745\pi\)
0.118852 + 0.992912i \(0.462079\pi\)
\(444\) −27.0641 1.50709i −1.28441 0.0715232i
\(445\) 2.51089i 0.119028i
\(446\) −5.87637 24.6543i −0.278254 1.16741i
\(447\) −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 \(0.825964\pi\)
\(450\) 8.30128 + 34.8279i 0.391326 + 1.64181i
\(451\) −8.24398 14.2790i −0.388194 0.672372i
\(452\) 4.89552 7.48476i 0.230266 0.352054i
\(453\) −14.7304 25.5137i −0.692093 1.19874i
\(454\) −29.1915 8.69884i −1.37003 0.408257i
\(455\) −2.74838 −0.128846
\(456\) −14.0529 32.2553i −0.658088 1.51050i
\(457\) −18.9216 −0.885116 −0.442558 0.896740i \(-0.645929\pi\)
−0.442558 + 0.896740i \(0.645929\pi\)
\(458\) −16.2985 4.85683i −0.761579 0.226945i
\(459\) 13.3581 + 23.1369i 0.623503 + 1.07994i
\(460\) −2.02395 + 3.09443i −0.0943674 + 0.144278i
\(461\) 15.8498 + 27.4526i 0.738198 + 1.27860i 0.953306 + 0.302006i \(0.0976564\pi\)
−0.215108 + 0.976590i \(0.569010\pi\)
\(462\) 3.54681 + 14.8806i 0.165013 + 0.692309i
\(463\) 21.7267i 1.00973i 0.863200 + 0.504863i \(0.168457\pi\)
−0.863200 + 0.504863i \(0.831543\pi\)
\(464\) −0.356497 + 3.19105i −0.0165500 + 0.148141i
\(465\) −0.567306 + 0.982603i −0.0263082 + 0.0455671i
\(466\) 4.49498 + 18.8587i 0.208226 + 0.873610i
\(467\) 38.6475i 1.78839i 0.447674 + 0.894197i \(0.352253\pi\)
−0.447674 + 0.894197i \(0.647747\pi\)
\(468\) 64.9435 + 3.61643i 3.00201 + 0.167170i
\(469\) 2.70144 + 1.55968i 0.124741 + 0.0720193i
\(470\) −0.156459 + 0.525044i −0.00721691 + 0.0242185i
\(471\) −2.54315 + 4.40487i −0.117182 + 0.202966i
\(472\) 2.01093 5.59143i 0.0925607 0.257366i
\(473\) −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
\(478\) 7.61888 25.5674i 0.348480 1.16943i
\(479\) −33.7610 19.4919i −1.54258 0.890608i −0.998675 0.0514591i \(-0.983613\pi\)
−0.543902 0.839148i \(-0.683054\pi\)
\(480\) −4.16112 1.76356i −0.189928 0.0804953i
\(481\) −15.0128 + 26.0029i −0.684525 + 1.18563i
\(482\) 9.94331 + 10.5124i 0.452906 + 0.478828i
\(483\) −29.2638 −1.33155
\(484\) 8.43822 + 5.51914i 0.383556 + 0.250870i
\(485\) 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 \(-0.656563\pi\)
−0.472263 + 0.881458i \(0.656563\pi\)
\(488\) −8.79643 + 1.58575i −0.398196 + 0.0717837i
\(489\) 9.88853 5.70915i 0.447175 0.258176i
\(490\) −0.421232 1.76728i −0.0190293 0.0798374i
\(491\) 33.0406 19.0760i 1.49110 0.860887i 0.491152 0.871074i \(-0.336576\pi\)
0.999948 + 0.0101871i \(0.00324270\pi\)
\(492\) 17.3898 + 34.4070i 0.783995 + 1.55119i
\(493\) 3.50503i 0.157859i
\(494\) −38.9098 2.22383i −1.75063 0.100055i
\(495\) 3.51529i 0.158000i
\(496\) 2.27657 + 5.20456i 0.102221 + 0.233692i
\(497\) −4.69113 + 2.70843i −0.210426 + 0.121490i
\(498\) 39.2349 9.35167i 1.75816 0.419058i
\(499\) 17.9283 10.3509i 0.802580 0.463370i −0.0417924 0.999126i \(-0.513307\pi\)
0.844373 + 0.535756i \(0.179973\pi\)
\(500\) −4.64907 3.04079i −0.207913 0.135988i
\(501\) 17.7985 0.795178
\(502\) 8.78471 + 9.28750i 0.392081 + 0.414521i
\(503\) −17.8283 10.2932i −0.794924 0.458949i 0.0467693 0.998906i \(-0.485107\pi\)
−0.841693 + 0.539956i \(0.818441\pi\)
\(504\) −4.00818 22.2340i −0.178539 0.990382i
\(505\) 2.52317 0.112280
\(506\) 16.5622 15.6655i 0.736278 0.696418i
\(507\) 38.4852 66.6583i 1.70919 2.96040i
\(508\) −33.9381 + 17.1528i −1.50576 + 0.761034i
\(509\) −18.0800 10.4385i −0.801382 0.462678i 0.0425720 0.999093i \(-0.486445\pi\)
−0.843954 + 0.536415i \(0.819778\pi\)
\(510\) −4.72796 1.40889i −0.209357 0.0623868i
\(511\) 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
\(516\) 0.435139 + 0.860953i 0.0191559 + 0.0379013i
\(517\) 1.68892 2.92529i 0.0742784 0.128654i
\(518\) 9.99477 + 2.97836i 0.439145 + 0.130862i
\(519\) −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 \(-0.419212\pi\)
\(522\) −5.68049 + 1.35395i −0.248628 + 0.0592608i
\(523\) 10.6571 18.4587i 0.466004 0.807143i −0.533242 0.845963i \(-0.679026\pi\)
0.999246 + 0.0388195i \(0.0123597\pi\)
\(524\) 7.89129 + 0.439433i 0.344733 + 0.0191967i
\(525\) 21.8094i 0.951838i
\(526\) 23.8804 5.69192i 1.04124 0.248179i
\(527\) 3.10054 + 5.37029i 0.135061 + 0.233933i
\(528\) 22.4352 + 16.5253i 0.976369 + 0.719172i
\(529\) 10.3054 + 17.8494i 0.448060 + 0.776063i
\(530\) 0.555859 1.86535i 0.0241450 0.0810256i
\(531\) 10.8067 0.468972
\(532\) 2.38214 + 13.3257i 0.103279 + 0.577743i
\(533\) 42.7043 1.84973
\(534\) 10.3373 34.6898i 0.447338 1.50117i
\(535\) −1.90347 3.29691i −0.0822942 0.142538i
\(536\) 5.59179 1.00805i 0.241529 0.0435410i
\(537\) 29.2593 + 50.6786i 1.26263 + 2.18694i
\(538\) −6.44831 + 1.53696i −0.278006 + 0.0662631i
\(539\) 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 \(-0.0207431\pi\)
\(542\) −3.61641 + 0.861976i −0.155338 + 0.0370250i
\(543\) 26.9443i 1.15629i
\(544\) −19.7182 + 14.8759i −0.845411 + 0.637800i
\(545\) 2.60781 + 1.50562i 0.111706 + 0.0644937i
\(546\) −37.9708 11.3150i −1.62500 0.484238i
\(547\) −13.4386 + 23.2764i −0.574595 + 0.995227i 0.421491 + 0.906833i \(0.361507\pi\)
−0.996086 + 0.0883943i \(0.971826\pi\)
\(548\) 29.1685 14.7422i 1.24602 0.629756i
\(549\) −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
\(554\) 29.5549 + 8.80711i 1.25567 + 0.374178i
\(555\) 3.28590 + 1.89711i 0.139479 + 0.0805280i
\(556\) 0.447072 + 0.884564i 0.0189601 + 0.0375139i
\(557\) 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
\(560\) 1.40005 + 1.03124i 0.0591628 + 0.0435780i
\(561\) 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 \(-0.472687\pi\)
0.0857000 + 0.996321i \(0.472687\pi\)
\(564\) −4.32318 + 6.60972i −0.182039 + 0.278319i
\(565\) −1.08418 + 0.625949i −0.0456116 + 0.0263339i
\(566\) −41.9112 + 9.98957i −1.76166 + 0.419893i
\(567\) 2.72840 1.57525i 0.114582 0.0661541i
\(568\) −3.33917 + 9.28462i −0.140109 + 0.389574i
\(569\) 23.2914i 0.976425i −0.872725 0.488213i \(-0.837649\pi\)
0.872725 0.488213i \(-0.162351\pi\)
\(570\) −0.281017 + 4.91689i −0.0117705 + 0.205946i
\(571\) 24.9781i 1.04530i 0.852548 + 0.522650i \(0.175056\pi\)
−0.852548 + 0.522650i \(0.824944\pi\)
\(572\) 27.5471 13.9227i 1.15180 0.582139i
\(573\) −5.13289 + 2.96347i −0.214429 + 0.123801i
\(574\) −3.43910 14.4287i −0.143545 0.602243i
\(575\) −28.1473 + 16.2508i −1.17382 + 0.677706i
\(576\) −31.7258 26.2103i −1.32191 1.09209i
\(577\) −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
\(580\) 0.246020 0.376140i 0.0102154 0.0156184i
\(581\) −15.5185 −0.643818
\(582\) 5.68494 + 6.01032i 0.235648 + 0.249136i
\(583\) −6.00029 + 10.3928i −0.248507 + 0.430426i
\(584\) 10.4114 28.9491i 0.430828 1.19792i
\(585\) −7.88489 4.55234i −0.326000 0.188216i
\(586\) −11.7540 + 39.4440i −0.485553 + 1.62942i
\(587\) −23.1734 + 13.3791i −0.956467 + 0.552217i −0.895084 0.445898i \(-0.852885\pi\)
−0.0613832 + 0.998114i \(0.519551\pi\)
\(588\) 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
\(592\) 17.4044 7.61302i 0.715318 0.312893i
\(593\) −10.9939 + 19.0420i −0.451466 + 0.781962i −0.998477 0.0551635i \(-0.982432\pi\)
0.547012 + 0.837125i \(0.315765\pi\)
\(594\) −6.03206 + 20.2423i −0.247498 + 0.830554i
\(595\) 1.64383 + 0.949068i 0.0673907 + 0.0389080i
\(596\) 1.21182 21.7617i 0.0496379 0.891392i
\(597\) 16.3856i 0.670618i
\(598\) 13.6900 + 57.4365i 0.559828 + 2.34875i
\(599\) 20.5172 35.5369i 0.838312 1.45200i −0.0529931 0.998595i \(-0.516876\pi\)
0.891305 0.453404i \(-0.149791\pi\)
\(600\) −25.6515 30.3339i −1.04722 1.23838i
\(601\) 21.1376i 0.862222i −0.902299 0.431111i \(-0.858122\pi\)
0.902299 0.431111i \(-0.141878\pi\)
\(602\) −0.0860551 0.361044i −0.00350734 0.0147150i
\(603\) 5.16683 + 8.94920i 0.210409 + 0.364440i
\(604\) 17.2791 + 11.3016i 0.703075 + 0.459856i
\(605\) −0.705687 1.22229i −0.0286902 0.0496930i
\(606\) 34.8594 + 10.3878i 1.41607 + 0.421977i
\(607\) 36.6714 1.48845 0.744223 0.667931i \(-0.232820\pi\)
0.744223 + 0.667931i \(0.232820\pi\)
\(608\) 18.9865 + 15.7325i 0.770005 + 0.638037i
\(609\) 3.55714 0.144142
\(610\) 1.19904 + 0.357305i 0.0485478 + 0.0144668i
\(611\) 4.37434 + 7.57657i 0.176967 + 0.306515i
\(612\) −37.5946 24.5893i −1.51967 0.993962i
\(613\) −5.71378 9.89656i −0.230777 0.399718i 0.727260 0.686362i \(-0.240794\pi\)
−0.958037 + 0.286644i \(0.907460\pi\)
\(614\) −2.15291 9.03253i −0.0868845 0.364523i
\(615\) 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 \(0.915504\pi\)
\(618\) −14.5271 60.9483i −0.584365 2.45170i
\(619\) 24.9916i 1.00450i −0.864723 0.502248i \(-0.832506\pi\)
0.864723 0.502248i \(-0.167494\pi\)
\(620\) 0.0442110 0.793936i 0.00177556 0.0318853i
\(621\) −34.9926 20.2030i −1.40421 0.810719i
\(622\) 3.36547 11.2938i 0.134943 0.452841i
\(623\) −6.96347 + 12.0611i −0.278985 + 0.483217i
\(624\) −66.1207 + 28.9224i −2.64695 + 1.15782i
\(625\) −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
\(630\) −0.903130 + 3.03072i −0.0359816 + 0.120747i
\(631\) 25.5638 + 14.7593i 1.01768 + 0.587557i 0.913431 0.406994i \(-0.133423\pi\)
0.104249 + 0.994551i \(0.466756\pi\)
\(632\) 5.74353 15.9700i 0.228465 0.635251i
\(633\) −18.2489 + 31.6080i −0.725327 + 1.25630i
\(634\) −1.54407 1.63244i −0.0613227 0.0648325i
\(635\) 5.32284 0.211230
\(636\) 15.3592 23.4827i 0.609031 0.931149i
\(637\) −25.1250 14.5059i −0.995490 0.574746i
\(638\) −2.01320 + 1.90421i −0.0797033 + 0.0753884i
\(639\) −17.9447 −0.709880
\(640\) 3.16019 0.212368i 0.124918 0.00839459i
\(641\) 5.77953 3.33681i 0.228278 0.131796i −0.381500 0.924369i \(-0.624592\pi\)
0.609777 + 0.792573i \(0.291259\pi\)
\(642\) −12.7245 53.3857i −0.502197 2.10696i
\(643\) 5.43174 3.13602i 0.214207 0.123673i −0.389058 0.921213i \(-0.627199\pi\)
0.603265 + 0.797541i \(0.293866\pi\)
\(644\) 18.3039 9.25105i 0.721273 0.364542i
\(645\) 0.135032i 0.00531686i
\(646\) 22.5044 + 14.7664i 0.885424 + 0.580976i
\(647\) 12.3759i 0.486545i −0.969958 0.243273i \(-0.921779\pi\)
0.969958 0.243273i \(-0.0782209\pi\)
\(648\) 1.94209 5.40002i 0.0762926 0.212133i
\(649\) 4.44112 2.56408i 0.174329 0.100649i
\(650\) −42.8055 + 10.2027i −1.67897 + 0.400184i
\(651\) 5.45012 3.14663i 0.213607 0.123326i
\(652\) −4.38024 + 6.69696i −0.171544 + 0.262273i
\(653\) 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
\(656\) −21.7539 16.0234i −0.849347 0.625611i
\(657\) 55.9509 2.18285
\(658\) 2.20766 2.08814i 0.0860634 0.0814042i
\(659\) −8.04046 + 13.9265i −0.313212 + 0.542499i −0.979056 0.203592i \(-0.934738\pi\)
0.665844 + 0.746091i \(0.268072\pi\)
\(660\) −1.75937 3.48103i −0.0684833 0.135499i
\(661\) 1.29673 + 0.748665i 0.0504368 + 0.0291197i 0.525006 0.851098i \(-0.324063\pi\)
−0.474570 + 0.880218i \(0.657396\pi\)
\(662\) −8.15050 2.42878i −0.316778 0.0943974i
\(663\) −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
\(668\) −11.1326 + 5.62656i −0.430732 + 0.217698i
\(669\) −25.5721 + 44.2921i −0.988673 + 1.71243i
\(670\) −0.762217 0.227135i −0.0294470 0.00877498i
\(671\) −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 \(0.894532\pi\)
\(674\) 14.4301 3.43942i 0.555825 0.132482i
\(675\) 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 \(-0.0601170\pi\)
\(678\) −17.5557 + 4.18441i −0.674222 + 0.160701i
\(679\) −1.59152 2.75660i −0.0610771 0.105789i
\(680\) 3.40262 0.613398i 0.130484 0.0235228i
\(681\) 30.7330 + 53.2312i 1.17769 + 2.03982i
\(682\) −1.40009 + 4.69843i −0.0536124 + 0.179912i
\(683\) −28.9124 −1.10630 −0.553152 0.833080i \(-0.686575\pi\)
−0.553152 + 0.833080i \(0.686575\pi\)
\(684\) −15.2382 + 42.1762i −0.582648 + 1.61265i
\(685\) −4.57478 −0.174793
\(686\) −7.26774 + 24.3891i −0.277484 + 0.931179i
\(687\) 17.1592 + 29.7206i 0.654663 + 1.13391i
\(688\) −0.544339 0.400948i −0.0207527 0.0152860i
\(689\) −15.5409 26.9177i −0.592062 1.02548i
\(690\) 7.25805 1.72996i 0.276309 0.0658586i
\(691\) 22.5621i 0.858301i −0.903233 0.429151i \(-0.858813\pi\)
0.903233 0.429151i \(-0.141187\pi\)
\(692\) 23.8036 + 1.32552i 0.904877 + 0.0503888i
\(693\) 9.74896 16.8857i 0.370332 0.641434i
\(694\) −6.44768 + 1.53681i −0.244750 + 0.0583365i
\(695\) 0.138735i 0.00526251i
\(696\) 4.94750 4.18379i 0.187535 0.158586i
\(697\) −25.5419 14.7466i −0.967468 0.558568i
\(698\) 40.6815 + 12.1228i 1.53982 + 0.458853i
\(699\) 19.5607 33.8801i 0.739853 1.28146i
\(700\) 6.89450 + 13.6413i 0.260588 + 0.515591i
\(701\) −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
\(706\) 7.38366 + 2.20027i 0.277888 + 0.0828083i
\(707\) −12.1201 6.99752i −0.455822 0.263169i
\(708\) −10.7014 + 5.40866i −0.402184 + 0.203270i
\(709\) 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
\(712\) 4.50060 + 24.9656i 0.168667 + 0.935624i
\(713\) −8.12210 4.68930i −0.304175 0.175616i
\(714\) 18.8035 + 19.8797i 0.703702 + 0.743979i
\(715\) −4.32048 −0.161577
\(716\) −34.3219 22.4487i −1.28267 0.838948i
\(717\) −46.6225 + 26.9175i −1.74115 + 1.00525i
\(718\) 5.54348 1.32129i 0.206881 0.0493103i
\(719\) 12.6303 7.29208i 0.471029 0.271949i −0.245641 0.969361i \(-0.578999\pi\)
0.716670 + 0.697412i \(0.245665\pi\)
\(720\) 2.30850 + 5.27756i 0.0860328 + 0.196683i
\(721\) 24.1068i 0.897786i
\(722\) 9.16742 25.2578i 0.341176 0.939999i
\(723\) 29.1993i 1.08593i
\(724\) −8.51781 16.8531i −0.316562 0.626340i
\(725\) 3.42141 1.97535i 0.127068 0.0733628i
\(726\) −4.71745 19.7920i −0.175081 0.734552i
\(727\) −23.1083 + 13.3416i −0.857038 + 0.494811i −0.863019 0.505171i \(-0.831429\pi\)
0.00598134 + 0.999982i \(0.498096\pi\)
\(728\) 27.3269 4.92628i 1.01280 0.182580i
\(729\) −41.9462 −1.55356
\(730\) −3.12853 + 2.95916i −0.115792 + 0.109524i
\(731\) −0.639124 0.368998i −0.0236389 0.0136479i
\(732\) 15.0946 + 9.87284i 0.557913 + 0.364911i
\(733\) −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
\(736\) 14.5774 34.3954i 0.537331 1.26783i
\(737\) 4.24670 + 2.45184i 0.156429 + 0.0903145i
\(738\) 14.0328 47.0913i 0.516556 1.73345i
\(739\) 9.58864 5.53600i 0.352724 0.203645i −0.313161 0.949700i \(-0.601388\pi\)
0.665884 + 0.746055i \(0.268054\pi\)
\(740\) −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 0.892081 0.451876i \(-0.149245\pi\)
−0.837376 + 0.546627i \(0.815912\pi\)
\(744\) 3.87942 10.7868i 0.142227 0.395463i
\(745\) −1.52543 + 2.64212i −0.0558873 + 0.0967997i
\(746\) −0.347085 + 1.16475i −0.0127077 + 0.0426444i
\(747\) −44.5215 25.7045i −1.62896 0.940479i
\(748\) −21.2840 1.18522i −0.778222 0.0433359i
\(749\) 21.1156i 0.771548i
\(750\) 2.59910 + 10.9045i 0.0949057 + 0.398176i
\(751\) 6.22840 10.7879i 0.227278 0.393656i −0.729723 0.683743i \(-0.760351\pi\)
0.957000 + 0.290087i \(0.0936842\pi\)
\(752\) 0.614550 5.50090i 0.0224103 0.200597i
\(753\) 25.7970i 0.940094i
\(754\) −1.66408 6.98164i −0.0606023 0.254256i
\(755\) −1.44504 2.50289i −0.0525905 0.0910894i
\(756\) −10.4011 + 15.9023i −0.378286 + 0.578361i
\(757\) 7.03074 + 12.1776i 0.255537 + 0.442603i 0.965041 0.262098i \(-0.0844145\pi\)
−0.709504 + 0.704701i \(0.751081\pi\)
\(758\) 21.8035 + 6.49728i 0.791940 + 0.235992i
\(759\) −46.0031 −1.66981
\(760\) −1.37859 3.16424i −0.0500065 0.114779i
\(761\) −0.551543 −0.0199934 −0.00999671 0.999950i \(-0.503182\pi\)
−0.00999671 + 0.999950i \(0.503182\pi\)
\(762\) 73.5388 + 21.9140i 2.66403 + 0.793860i
\(763\) −8.35109 14.4645i −0.302330 0.523650i
\(764\) 2.27368 3.47623i 0.0822587 0.125765i
\(765\) 3.14402 + 5.44561i 0.113672 + 0.196886i
\(766\) −7.60997 31.9276i −0.274960 1.15359i
\(767\) 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 \(-0.0268906\pi\)
\(770\) 0.347941 + 1.45978i 0.0125389 + 0.0526070i
\(771\) 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