Properties

Label 76.2.f.a.31.7
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 31.7
Root \(0.570443 - 1.29406i\) of defining polynomial
Character \(\chi\) \(=\) 76.31
Dual form 76.2.f.a.27.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.835469 + 1.14105i) q^{2} +(0.637123 + 1.10353i) q^{3} +(-0.603985 + 1.90662i) q^{4} +(-1.60333 - 2.77705i) q^{5} +(-0.726885 + 1.64895i) q^{6} -1.25044i q^{7} +(-2.68016 + 0.903746i) q^{8} +(0.688149 - 1.19191i) q^{9} +O(q^{10})\) \(q+(0.835469 + 1.14105i) q^{2} +(0.637123 + 1.10353i) q^{3} +(-0.603985 + 1.90662i) q^{4} +(-1.60333 - 2.77705i) q^{5} +(-0.726885 + 1.64895i) q^{6} -1.25044i q^{7} +(-2.68016 + 0.903746i) q^{8} +(0.688149 - 1.19191i) q^{9} +(1.82921 - 4.14961i) q^{10} +2.11093i q^{11} +(-2.48882 + 0.548237i) q^{12} +(2.12978 + 1.22963i) q^{13} +(1.42681 - 1.04470i) q^{14} +(2.04303 - 3.53864i) q^{15} +(-3.27041 - 2.30314i) q^{16} +(0.765026 + 1.32506i) q^{17} +(1.93495 - 0.210591i) q^{18} +(-3.76307 + 2.19984i) q^{19} +(6.26316 - 1.37965i) q^{20} +(1.37990 - 0.796684i) q^{21} +(-2.40867 + 1.76361i) q^{22} +(-7.61951 - 4.39913i) q^{23} +(-2.70490 - 2.38184i) q^{24} +(-2.64132 + 4.57491i) q^{25} +(0.376297 + 3.45750i) q^{26} +5.57648 q^{27} +(2.38411 + 0.755247i) q^{28} +(-5.20937 - 3.00763i) q^{29} +(5.74465 - 0.625220i) q^{30} +7.78947 q^{31} +(-0.104326 - 5.65589i) q^{32} +(-2.32947 + 1.34492i) q^{33} +(-0.872807 + 1.97998i) q^{34} +(-3.47253 + 2.00487i) q^{35} +(1.85689 + 2.03193i) q^{36} +9.97599i q^{37} +(-5.65405 - 2.45595i) q^{38} +3.13370i q^{39} +(6.80692 + 5.99392i) q^{40} +(1.09450 - 0.631908i) q^{41} +(2.06192 + 0.908926i) q^{42} +(-5.04619 + 2.91342i) q^{43} +(-4.02474 - 1.27497i) q^{44} -4.41331 q^{45} +(-1.34624 - 12.3696i) q^{46} +(6.12910 + 3.53864i) q^{47} +(0.457931 - 5.07637i) q^{48} +5.43640 q^{49} +(-7.42693 + 0.808311i) q^{50} +(-0.974831 + 1.68846i) q^{51} +(-3.63079 + 3.31801i) q^{52} +(6.18988 + 3.57373i) q^{53} +(4.65897 + 6.36303i) q^{54} +(5.86215 - 3.38451i) q^{55} +(1.13008 + 3.35138i) q^{56} +(-4.82513 - 2.75109i) q^{57} +(-0.920411 - 8.45692i) q^{58} +(-2.83541 - 4.91107i) q^{59} +(5.51288 + 6.03258i) q^{60} +(2.80998 - 4.86704i) q^{61} +(6.50786 + 8.88817i) q^{62} +(-1.49041 - 0.860489i) q^{63} +(6.36649 - 4.84436i) q^{64} -7.88599i q^{65} +(-3.48082 - 1.53440i) q^{66} +(-0.0235835 + 0.0408478i) q^{67} +(-2.98846 + 0.658296i) q^{68} -11.2111i q^{69} +(-5.18884 - 2.28732i) q^{70} +(-3.12595 - 5.41430i) q^{71} +(-0.767165 + 3.81641i) q^{72} +(0.658098 + 1.13986i) q^{73} +(-11.3831 + 8.33462i) q^{74} -6.73139 q^{75} +(-1.92143 - 8.50342i) q^{76} +2.63959 q^{77} +(-3.57570 + 2.61811i) q^{78} +(-3.77194 - 6.53320i) q^{79} +(-1.15239 + 12.7748i) q^{80} +(1.48846 + 2.57808i) q^{81} +(1.63546 + 0.720935i) q^{82} +7.84164i q^{83} +(0.685538 + 3.11213i) q^{84} +(2.45317 - 4.24902i) q^{85} +(-7.54029 - 3.32388i) q^{86} -7.66492i q^{87} +(-1.90774 - 5.65762i) q^{88} +(-6.02458 - 3.47830i) q^{89} +(-3.68718 - 5.03581i) q^{90} +(1.53758 - 2.66316i) q^{91} +(12.9895 - 11.8705i) q^{92} +(4.96285 + 8.59591i) q^{93} +(1.08291 + 9.95003i) q^{94} +(12.1425 + 6.92315i) q^{95} +(6.17497 - 3.71863i) q^{96} +(8.51935 - 4.91865i) q^{97} +(4.54194 + 6.20320i) q^{98} +(2.51603 + 1.45263i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.835469 + 1.14105i 0.590765 + 0.806843i
\(3\) 0.637123 + 1.10353i 0.367843 + 0.637123i 0.989228 0.146382i \(-0.0467630\pi\)
−0.621385 + 0.783505i \(0.713430\pi\)
\(4\) −0.603985 + 1.90662i −0.301992 + 0.953310i
\(5\) −1.60333 2.77705i −0.717030 1.24193i −0.962171 0.272445i \(-0.912168\pi\)
0.245141 0.969487i \(-0.421166\pi\)
\(6\) −0.726885 + 1.64895i −0.296749 + 0.673182i
\(7\) 1.25044i 0.472622i −0.971677 0.236311i \(-0.924062\pi\)
0.971677 0.236311i \(-0.0759384\pi\)
\(8\) −2.68016 + 0.903746i −0.947579 + 0.319522i
\(9\) 0.688149 1.19191i 0.229383 0.397303i
\(10\) 1.82921 4.14961i 0.578448 1.31222i
\(11\) 2.11093i 0.636469i 0.948012 + 0.318234i \(0.103090\pi\)
−0.948012 + 0.318234i \(0.896910\pi\)
\(12\) −2.48882 + 0.548237i −0.718462 + 0.158262i
\(13\) 2.12978 + 1.22963i 0.590695 + 0.341038i 0.765372 0.643588i \(-0.222555\pi\)
−0.174678 + 0.984626i \(0.555888\pi\)
\(14\) 1.42681 1.04470i 0.381332 0.279209i
\(15\) 2.04303 3.53864i 0.527509 0.913673i
\(16\) −3.27041 2.30314i −0.817601 0.575785i
\(17\) 0.765026 + 1.32506i 0.185546 + 0.321375i 0.943760 0.330630i \(-0.107261\pi\)
−0.758214 + 0.652005i \(0.773928\pi\)
\(18\) 1.93495 0.210591i 0.456073 0.0496367i
\(19\) −3.76307 + 2.19984i −0.863308 + 0.504678i
\(20\) 6.26316 1.37965i 1.40048 0.308498i
\(21\) 1.37990 0.796684i 0.301118 0.173851i
\(22\) −2.40867 + 1.76361i −0.513531 + 0.376004i
\(23\) −7.61951 4.39913i −1.58878 0.917282i −0.993509 0.113756i \(-0.963712\pi\)
−0.595270 0.803526i \(-0.702955\pi\)
\(24\) −2.70490 2.38184i −0.552135 0.486190i
\(25\) −2.64132 + 4.57491i −0.528265 + 0.914981i
\(26\) 0.376297 + 3.45750i 0.0737980 + 0.678071i
\(27\) 5.57648 1.07319
\(28\) 2.38411 + 0.755247i 0.450555 + 0.142728i
\(29\) −5.20937 3.00763i −0.967356 0.558503i −0.0689265 0.997622i \(-0.521957\pi\)
−0.898429 + 0.439119i \(0.855291\pi\)
\(30\) 5.74465 0.625220i 1.04883 0.114149i
\(31\) 7.78947 1.39903 0.699515 0.714618i \(-0.253399\pi\)
0.699515 + 0.714618i \(0.253399\pi\)
\(32\) −0.104326 5.65589i −0.0184425 0.999830i
\(33\) −2.32947 + 1.34492i −0.405509 + 0.234121i
\(34\) −0.872807 + 1.97998i −0.149685 + 0.339564i
\(35\) −3.47253 + 2.00487i −0.586965 + 0.338884i
\(36\) 1.85689 + 2.03193i 0.309481 + 0.338655i
\(37\) 9.97599i 1.64004i 0.572334 + 0.820021i \(0.306038\pi\)
−0.572334 + 0.820021i \(0.693962\pi\)
\(38\) −5.65405 2.45595i −0.917209 0.398407i
\(39\) 3.13370i 0.501793i
\(40\) 6.80692 + 5.99392i 1.07627 + 0.947722i
\(41\) 1.09450 0.631908i 0.170932 0.0986875i −0.412093 0.911142i \(-0.635202\pi\)
0.583025 + 0.812454i \(0.301869\pi\)
\(42\) 2.06192 + 0.908926i 0.318161 + 0.140250i
\(43\) −5.04619 + 2.91342i −0.769537 + 0.444292i −0.832709 0.553710i \(-0.813211\pi\)
0.0631725 + 0.998003i \(0.479878\pi\)
\(44\) −4.02474 1.27497i −0.606752 0.192209i
\(45\) −4.41331 −0.657898
\(46\) −1.34624 12.3696i −0.198493 1.82379i
\(47\) 6.12910 + 3.53864i 0.894022 + 0.516164i 0.875256 0.483660i \(-0.160693\pi\)
0.0187658 + 0.999824i \(0.494026\pi\)
\(48\) 0.457931 5.07637i 0.0660967 0.732711i
\(49\) 5.43640 0.776629
\(50\) −7.42693 + 0.808311i −1.05033 + 0.114312i
\(51\) −0.974831 + 1.68846i −0.136504 + 0.236431i
\(52\) −3.63079 + 3.31801i −0.503500 + 0.460125i
\(53\) 6.18988 + 3.57373i 0.850246 + 0.490890i 0.860734 0.509055i \(-0.170005\pi\)
−0.0104881 + 0.999945i \(0.503339\pi\)
\(54\) 4.65897 + 6.36303i 0.634006 + 0.865899i
\(55\) 5.86215 3.38451i 0.790452 0.456367i
\(56\) 1.13008 + 3.35138i 0.151013 + 0.447846i
\(57\) −4.82513 2.75109i −0.639104 0.364391i
\(58\) −0.920411 8.45692i −0.120856 1.11045i
\(59\) −2.83541 4.91107i −0.369138 0.639367i 0.620293 0.784371i \(-0.287014\pi\)
−0.989431 + 0.145004i \(0.953681\pi\)
\(60\) 5.51288 + 6.03258i 0.711710 + 0.778802i
\(61\) 2.80998 4.86704i 0.359782 0.623160i −0.628142 0.778098i \(-0.716185\pi\)
0.987924 + 0.154938i \(0.0495178\pi\)
\(62\) 6.50786 + 8.88817i 0.826499 + 1.12880i
\(63\) −1.49041 0.860489i −0.187774 0.108411i
\(64\) 6.36649 4.84436i 0.795811 0.605545i
\(65\) 7.88599i 0.978137i
\(66\) −3.48082 1.53440i −0.428459 0.188872i
\(67\) −0.0235835 + 0.0408478i −0.00288118 + 0.00499036i −0.867462 0.497503i \(-0.834250\pi\)
0.864581 + 0.502493i \(0.167584\pi\)
\(68\) −2.98846 + 0.658296i −0.362404 + 0.0798301i
\(69\) 11.2111i 1.34966i
\(70\) −5.18884 2.28732i −0.620185 0.273387i
\(71\) −3.12595 5.41430i −0.370982 0.642559i 0.618735 0.785600i \(-0.287645\pi\)
−0.989717 + 0.143041i \(0.954312\pi\)
\(72\) −0.767165 + 3.81641i −0.0904112 + 0.449769i
\(73\) 0.658098 + 1.13986i 0.0770245 + 0.133410i 0.901965 0.431809i \(-0.142125\pi\)
−0.824940 + 0.565220i \(0.808791\pi\)
\(74\) −11.3831 + 8.33462i −1.32326 + 0.968880i
\(75\) −6.73139 −0.777274
\(76\) −1.92143 8.50342i −0.220403 0.975409i
\(77\) 2.63959 0.300809
\(78\) −3.57570 + 2.61811i −0.404869 + 0.296442i
\(79\) −3.77194 6.53320i −0.424377 0.735042i 0.571985 0.820264i \(-0.306174\pi\)
−0.996362 + 0.0852216i \(0.972840\pi\)
\(80\) −1.15239 + 12.7748i −0.128841 + 1.42826i
\(81\) 1.48846 + 2.57808i 0.165384 + 0.286454i
\(82\) 1.63546 + 0.720935i 0.180606 + 0.0796140i
\(83\) 7.84164i 0.860732i 0.902655 + 0.430366i \(0.141615\pi\)
−0.902655 + 0.430366i \(0.858385\pi\)
\(84\) 0.685538 + 3.11213i 0.0747983 + 0.339561i
\(85\) 2.45317 4.24902i 0.266084 0.460871i
\(86\) −7.54029 3.32388i −0.813090 0.358423i
\(87\) 7.66492i 0.821766i
\(88\) −1.90774 5.65762i −0.203366 0.603104i
\(89\) −6.02458 3.47830i −0.638605 0.368699i 0.145472 0.989362i \(-0.453530\pi\)
−0.784077 + 0.620664i \(0.786863\pi\)
\(90\) −3.68718 5.03581i −0.388663 0.530820i
\(91\) 1.53758 2.66316i 0.161182 0.279175i
\(92\) 12.9895 11.8705i 1.35425 1.23759i
\(93\) 4.96285 + 8.59591i 0.514624 + 0.891354i
\(94\) 1.08291 + 9.95003i 0.111694 + 1.02627i
\(95\) 12.1425 + 6.92315i 1.24579 + 0.710300i
\(96\) 6.17497 3.71863i 0.630231 0.379531i
\(97\) 8.51935 4.91865i 0.865009 0.499413i −0.000677265 1.00000i \(-0.500216\pi\)
0.865687 + 0.500586i \(0.166882\pi\)
\(98\) 4.54194 + 6.20320i 0.458805 + 0.626618i
\(99\) 2.51603 + 1.45263i 0.252871 + 0.145995i
\(100\) −7.12729 7.79917i −0.712729 0.779917i
\(101\) −3.13338 + 5.42717i −0.311783 + 0.540024i −0.978748 0.205065i \(-0.934259\pi\)
0.666965 + 0.745089i \(0.267593\pi\)
\(102\) −2.74105 + 0.298323i −0.271405 + 0.0295384i
\(103\) 0.526662 0.0518936 0.0259468 0.999663i \(-0.491740\pi\)
0.0259468 + 0.999663i \(0.491740\pi\)
\(104\) −6.81942 1.37082i −0.668699 0.134420i
\(105\) −4.42486 2.55469i −0.431822 0.249312i
\(106\) 1.09365 + 10.0487i 0.106225 + 0.976016i
\(107\) 6.91564 0.668560 0.334280 0.942474i \(-0.391507\pi\)
0.334280 + 0.942474i \(0.391507\pi\)
\(108\) −3.36811 + 10.6322i −0.324096 + 1.02309i
\(109\) −10.4902 + 6.05651i −1.00478 + 0.580109i −0.909658 0.415357i \(-0.863657\pi\)
−0.0951195 + 0.995466i \(0.530323\pi\)
\(110\) 8.75953 + 3.86134i 0.835189 + 0.368164i
\(111\) −11.0088 + 6.35593i −1.04491 + 0.603278i
\(112\) −2.87994 + 4.08945i −0.272129 + 0.386416i
\(113\) 4.95424i 0.466056i −0.972470 0.233028i \(-0.925137\pi\)
0.972470 0.233028i \(-0.0748633\pi\)
\(114\) −0.892116 7.80415i −0.0835543 0.730926i
\(115\) 28.2130i 2.63087i
\(116\) 8.88079 8.11573i 0.824561 0.753526i
\(117\) 2.93121 1.69233i 0.270990 0.156456i
\(118\) 3.23488 7.33838i 0.297794 0.675553i
\(119\) 1.65691 0.956619i 0.151889 0.0876931i
\(120\) −2.27762 + 11.3305i −0.207918 + 1.03433i
\(121\) 6.54398 0.594907
\(122\) 7.90118 0.859926i 0.715339 0.0778541i
\(123\) 1.39466 + 0.805207i 0.125752 + 0.0726030i
\(124\) −4.70472 + 14.8516i −0.422496 + 1.33371i
\(125\) 0.906349 0.0810663
\(126\) −0.263331 2.41954i −0.0234594 0.215550i
\(127\) 2.86262 4.95820i 0.254016 0.439969i −0.710612 0.703584i \(-0.751582\pi\)
0.964628 + 0.263616i \(0.0849150\pi\)
\(128\) 10.8467 + 3.21716i 0.958718 + 0.284360i
\(129\) −6.43009 3.71241i −0.566138 0.326860i
\(130\) 8.99830 6.58850i 0.789204 0.577850i
\(131\) 16.1689 9.33512i 1.41268 0.815613i 0.417043 0.908887i \(-0.363067\pi\)
0.995640 + 0.0932738i \(0.0297332\pi\)
\(132\) −1.15729 5.25373i −0.100729 0.457279i
\(133\) 2.75077 + 4.70549i 0.238522 + 0.408018i
\(134\) −0.0663126 + 0.00721715i −0.00572854 + 0.000623466i
\(135\) −8.94093 15.4861i −0.769512 1.33283i
\(136\) −3.24791 2.85999i −0.278506 0.245242i
\(137\) −9.96622 + 17.2620i −0.851471 + 1.47479i 0.0284092 + 0.999596i \(0.490956\pi\)
−0.879880 + 0.475195i \(0.842377\pi\)
\(138\) 12.7925 9.36656i 1.08897 0.797334i
\(139\) −9.04013 5.21932i −0.766774 0.442697i 0.0649485 0.997889i \(-0.479312\pi\)
−0.831723 + 0.555191i \(0.812645\pi\)
\(140\) −1.72516 7.83170i −0.145803 0.661900i
\(141\) 9.01819i 0.759469i
\(142\) 3.56635 8.09034i 0.299281 0.678926i
\(143\) −2.59566 + 4.49581i −0.217060 + 0.375959i
\(144\) −4.99566 + 2.31312i −0.416305 + 0.192760i
\(145\) 19.2889i 1.60185i
\(146\) −0.750814 + 1.70324i −0.0621378 + 0.140961i
\(147\) 3.46366 + 5.99923i 0.285677 + 0.494808i
\(148\) −19.0204 6.02534i −1.56347 0.495280i
\(149\) −4.83307 8.37113i −0.395941 0.685789i 0.597280 0.802033i \(-0.296248\pi\)
−0.993221 + 0.116243i \(0.962915\pi\)
\(150\) −5.62386 7.68084i −0.459187 0.627138i
\(151\) −11.1033 −0.903573 −0.451787 0.892126i \(-0.649213\pi\)
−0.451787 + 0.892126i \(0.649213\pi\)
\(152\) 8.09752 9.29678i 0.656796 0.754068i
\(153\) 2.10581 0.170244
\(154\) 2.20529 + 3.01190i 0.177708 + 0.242706i
\(155\) −12.4891 21.6317i −1.00315 1.73750i
\(156\) −5.97478 1.89271i −0.478365 0.151538i
\(157\) −5.65983 9.80311i −0.451704 0.782374i 0.546788 0.837271i \(-0.315850\pi\)
−0.998492 + 0.0548972i \(0.982517\pi\)
\(158\) 4.30336 9.76226i 0.342357 0.776643i
\(159\) 9.10762i 0.722281i
\(160\) −15.5394 + 9.35797i −1.22850 + 0.739813i
\(161\) −5.50085 + 9.52774i −0.433527 + 0.750891i
\(162\) −1.69816 + 3.85231i −0.133420 + 0.302666i
\(163\) 15.6778i 1.22798i −0.789312 0.613992i \(-0.789563\pi\)
0.789312 0.613992i \(-0.210437\pi\)
\(164\) 0.543750 + 2.46845i 0.0424597 + 0.192754i
\(165\) 7.46982 + 4.31270i 0.581524 + 0.335743i
\(166\) −8.94769 + 6.55144i −0.694476 + 0.508490i
\(167\) −1.80453 + 3.12555i −0.139639 + 0.241862i −0.927360 0.374170i \(-0.877928\pi\)
0.787721 + 0.616032i \(0.211261\pi\)
\(168\) −2.97834 + 3.38231i −0.229784 + 0.260951i
\(169\) −3.47603 6.02065i −0.267387 0.463127i
\(170\) 6.89789 0.750733i 0.529044 0.0575786i
\(171\) 0.0324579 + 5.99905i 0.00248212 + 0.458759i
\(172\) −2.50696 11.3808i −0.191154 0.867780i
\(173\) −4.46906 + 2.58021i −0.339776 + 0.196170i −0.660173 0.751113i \(-0.729517\pi\)
0.320397 + 0.947283i \(0.396184\pi\)
\(174\) 8.74605 6.40380i 0.663036 0.485471i
\(175\) 5.72065 + 3.30282i 0.432440 + 0.249669i
\(176\) 4.86176 6.90359i 0.366469 0.520378i
\(177\) 3.61301 6.25791i 0.271570 0.470373i
\(178\) −1.06445 9.78035i −0.0797836 0.733068i
\(179\) 2.76216 0.206454 0.103227 0.994658i \(-0.467083\pi\)
0.103227 + 0.994658i \(0.467083\pi\)
\(180\) 2.66557 8.41451i 0.198680 0.627181i
\(181\) 2.07870 + 1.20014i 0.154509 + 0.0892056i 0.575261 0.817970i \(-0.304901\pi\)
−0.420752 + 0.907176i \(0.638234\pi\)
\(182\) 4.32339 0.470537i 0.320471 0.0348785i
\(183\) 7.16122 0.529373
\(184\) 24.3972 + 4.90425i 1.79858 + 0.361546i
\(185\) 27.7038 15.9948i 2.03682 1.17596i
\(186\) −5.66205 + 12.8445i −0.415161 + 0.941802i
\(187\) −2.79711 + 1.61491i −0.204545 + 0.118094i
\(188\) −10.4487 + 9.54859i −0.762052 + 0.696403i
\(189\) 6.97305i 0.507215i
\(190\) 2.24502 + 19.6393i 0.162871 + 1.42478i
\(191\) 4.38525i 0.317305i 0.987334 + 0.158653i \(0.0507150\pi\)
−0.987334 + 0.158653i \(0.949285\pi\)
\(192\) 9.40213 + 3.93915i 0.678540 + 0.284284i
\(193\) −7.76503 + 4.48314i −0.558939 + 0.322703i −0.752719 0.658341i \(-0.771258\pi\)
0.193781 + 0.981045i \(0.437925\pi\)
\(194\) 12.7301 + 5.61162i 0.913966 + 0.402891i
\(195\) 8.70243 5.02435i 0.623194 0.359801i
\(196\) −3.28350 + 10.3652i −0.234536 + 0.740368i
\(197\) 1.39218 0.0991890 0.0495945 0.998769i \(-0.484207\pi\)
0.0495945 + 0.998769i \(0.484207\pi\)
\(198\) 0.444542 + 4.08455i 0.0315922 + 0.290276i
\(199\) −0.241956 0.139694i −0.0171518 0.00990261i 0.491400 0.870934i \(-0.336485\pi\)
−0.508551 + 0.861032i \(0.669819\pi\)
\(200\) 2.94461 14.6486i 0.208215 1.03581i
\(201\) −0.0601024 −0.00423929
\(202\) −8.81051 + 0.958893i −0.619905 + 0.0674675i
\(203\) −3.76086 + 6.51400i −0.263961 + 0.457193i
\(204\) −2.63046 2.87843i −0.184169 0.201531i
\(205\) −3.50968 2.02631i −0.245126 0.141524i
\(206\) 0.440010 + 0.600948i 0.0306569 + 0.0418700i
\(207\) −10.4867 + 6.05451i −0.728877 + 0.420817i
\(208\) −4.13324 8.92656i −0.286588 0.618946i
\(209\) −4.64371 7.94357i −0.321212 0.549468i
\(210\) −0.781800 7.18334i −0.0539493 0.495698i
\(211\) 0.0832510 + 0.144195i 0.00573123 + 0.00992679i 0.868877 0.495028i \(-0.164842\pi\)
−0.863146 + 0.504955i \(0.831509\pi\)
\(212\) −10.5523 + 9.64328i −0.724738 + 0.662303i
\(213\) 3.98323 6.89915i 0.272926 0.472722i
\(214\) 5.77780 + 7.89108i 0.394962 + 0.539423i
\(215\) 16.1814 + 9.34234i 1.10356 + 0.637142i
\(216\) −14.9458 + 5.03972i −1.01694 + 0.342909i
\(217\) 9.74027i 0.661212i
\(218\) −15.6750 6.90979i −1.06165 0.467990i
\(219\) −0.838578 + 1.45246i −0.0566659 + 0.0981481i
\(220\) 2.91233 + 13.2211i 0.196350 + 0.891365i
\(221\) 3.76279i 0.253113i
\(222\) −16.4499 7.25139i −1.10405 0.486681i
\(223\) 5.86577 + 10.1598i 0.392801 + 0.680352i 0.992818 0.119636i \(-0.0381727\pi\)
−0.600017 + 0.799987i \(0.704839\pi\)
\(224\) −7.07235 + 0.130454i −0.472542 + 0.00871633i
\(225\) 3.63525 + 6.29643i 0.242350 + 0.419762i
\(226\) 5.65303 4.13911i 0.376034 0.275330i
\(227\) 8.78264 0.582924 0.291462 0.956582i \(-0.405858\pi\)
0.291462 + 0.956582i \(0.405858\pi\)
\(228\) 8.15959 7.53807i 0.540382 0.499221i
\(229\) −6.53352 −0.431747 −0.215874 0.976421i \(-0.569260\pi\)
−0.215874 + 0.976421i \(0.569260\pi\)
\(230\) −32.1924 + 23.5711i −2.12270 + 1.55423i
\(231\) 1.68174 + 2.91286i 0.110651 + 0.191652i
\(232\) 16.6801 + 3.35298i 1.09510 + 0.220134i
\(233\) 13.1315 + 22.7444i 0.860274 + 1.49004i 0.871664 + 0.490103i \(0.163041\pi\)
−0.0113904 + 0.999935i \(0.503626\pi\)
\(234\) 4.37997 + 1.93076i 0.286328 + 0.126218i
\(235\) 22.6944i 1.48042i
\(236\) 11.0761 2.43984i 0.720992 0.158820i
\(237\) 4.80638 8.32490i 0.312208 0.540761i
\(238\) 2.47585 + 1.09139i 0.160485 + 0.0707445i
\(239\) 23.5704i 1.52464i 0.647198 + 0.762322i \(0.275941\pi\)
−0.647198 + 0.762322i \(0.724059\pi\)
\(240\) −14.8315 + 6.86739i −0.957371 + 0.443288i
\(241\) −13.5642 7.83128i −0.873746 0.504457i −0.00515448 0.999987i \(-0.501641\pi\)
−0.868591 + 0.495529i \(0.834974\pi\)
\(242\) 5.46729 + 7.46700i 0.351451 + 0.479997i
\(243\) 6.46806 11.2030i 0.414926 0.718673i
\(244\) 7.58240 + 8.29719i 0.485414 + 0.531173i
\(245\) −8.71633 15.0971i −0.556866 0.964520i
\(246\) 0.246413 + 2.26410i 0.0157108 + 0.144354i
\(247\) −10.7195 + 0.0579979i −0.682065 + 0.00369032i
\(248\) −20.8770 + 7.03970i −1.32569 + 0.447022i
\(249\) −8.65348 + 4.99609i −0.548392 + 0.316614i
\(250\) 0.757226 + 1.03419i 0.0478912 + 0.0654078i
\(251\) −22.1575 12.7926i −1.39857 0.807463i −0.404324 0.914616i \(-0.632493\pi\)
−0.994243 + 0.107153i \(0.965827\pi\)
\(252\) 2.54081 2.32192i 0.160056 0.146268i
\(253\) 9.28625 16.0842i 0.583821 1.01121i
\(254\) 8.04917 0.876033i 0.505050 0.0549672i
\(255\) 6.25189 0.391509
\(256\) 5.39110 + 15.0644i 0.336944 + 0.941525i
\(257\) 17.4440 + 10.0713i 1.08813 + 0.628229i 0.933077 0.359677i \(-0.117113\pi\)
0.155049 + 0.987907i \(0.450447\pi\)
\(258\) −1.13609 10.4386i −0.0707300 0.649882i
\(259\) 12.4744 0.775120
\(260\) 15.0356 + 4.76302i 0.932468 + 0.295390i
\(261\) −7.16964 + 4.13939i −0.443790 + 0.256222i
\(262\) 24.1604 + 10.6503i 1.49264 + 0.657978i
\(263\) −3.14828 + 1.81766i −0.194131 + 0.112082i −0.593915 0.804528i \(-0.702419\pi\)
0.399784 + 0.916609i \(0.369085\pi\)
\(264\) 5.02788 5.70985i 0.309445 0.351417i
\(265\) 22.9194i 1.40793i
\(266\) −3.07102 + 7.07005i −0.188296 + 0.433493i
\(267\) 8.86441i 0.542493i
\(268\) −0.0636372 0.0696363i −0.00388726 0.00425371i
\(269\) 15.9194 9.19106i 0.970622 0.560389i 0.0711964 0.997462i \(-0.477318\pi\)
0.899426 + 0.437073i \(0.143985\pi\)
\(270\) 10.2006 23.1402i 0.620787 1.40827i
\(271\) −16.7304 + 9.65930i −1.01630 + 0.586761i −0.913030 0.407893i \(-0.866264\pi\)
−0.103269 + 0.994653i \(0.532930\pi\)
\(272\) 0.549861 6.09545i 0.0333402 0.369591i
\(273\) 3.91850 0.237159
\(274\) −28.0232 + 3.04991i −1.69295 + 0.184252i
\(275\) −9.65730 5.57564i −0.582357 0.336224i
\(276\) 21.3754 + 6.77136i 1.28665 + 0.407588i
\(277\) −16.5581 −0.994879 −0.497440 0.867499i \(-0.665726\pi\)
−0.497440 + 0.867499i \(0.665726\pi\)
\(278\) −1.59724 14.6758i −0.0957964 0.880197i
\(279\) 5.36031 9.28434i 0.320914 0.555839i
\(280\) 7.49504 8.51164i 0.447914 0.508668i
\(281\) 3.45491 + 1.99469i 0.206103 + 0.118993i 0.599499 0.800376i \(-0.295367\pi\)
−0.393396 + 0.919369i \(0.628700\pi\)
\(282\) −10.2902 + 7.53442i −0.612772 + 0.448668i
\(283\) 12.8457 7.41645i 0.763596 0.440862i −0.0669896 0.997754i \(-0.521339\pi\)
0.830585 + 0.556892i \(0.188006\pi\)
\(284\) 12.2110 2.68984i 0.724592 0.159613i
\(285\) 0.0963638 + 17.8105i 0.00570810 + 1.05500i
\(286\) −7.29853 + 0.794337i −0.431571 + 0.0469701i
\(287\) −0.790163 1.36860i −0.0466419 0.0807861i
\(288\) −6.81310 3.76775i −0.401466 0.222017i
\(289\) 7.32947 12.6950i 0.431145 0.746766i
\(290\) −22.0095 + 16.1152i −1.29245 + 0.946320i
\(291\) 10.8558 + 6.26757i 0.636375 + 0.367412i
\(292\) −2.57076 + 0.566285i −0.150442 + 0.0331394i
\(293\) 22.9900i 1.34309i 0.740963 + 0.671546i \(0.234369\pi\)
−0.740963 + 0.671546i \(0.765631\pi\)
\(294\) −3.95164 + 8.96436i −0.230464 + 0.522812i
\(295\) −9.09217 + 15.7481i −0.529367 + 0.916890i
\(296\) −9.01575 26.7372i −0.524030 1.55407i
\(297\) 11.7715i 0.683055i
\(298\) 5.51398 12.5086i 0.319416 0.724603i
\(299\) −10.8186 18.7383i −0.625655 1.08367i
\(300\) 4.06566 12.8342i 0.234731 0.740983i
\(301\) 3.64306 + 6.30996i 0.209982 + 0.363700i
\(302\) −9.27645 12.6694i −0.533800 0.729042i
\(303\) −7.98539 −0.458749
\(304\) 17.3733 + 1.47250i 0.996427 + 0.0844538i
\(305\) −18.0213 −1.03190
\(306\) 1.75933 + 2.40283i 0.100574 + 0.137360i
\(307\) 10.3144 + 17.8650i 0.588673 + 1.01961i 0.994407 + 0.105620i \(0.0336827\pi\)
−0.405734 + 0.913991i \(0.632984\pi\)
\(308\) −1.59427 + 5.03270i −0.0908421 + 0.286764i
\(309\) 0.335549 + 0.581187i 0.0190887 + 0.0330626i
\(310\) 14.2486 32.3233i 0.809267 1.83584i
\(311\) 3.16368i 0.179396i 0.995969 + 0.0896978i \(0.0285901\pi\)
−0.995969 + 0.0896978i \(0.971410\pi\)
\(312\) −2.83207 8.39881i −0.160334 0.475489i
\(313\) −7.67203 + 13.2883i −0.433649 + 0.751101i −0.997184 0.0749904i \(-0.976107\pi\)
0.563536 + 0.826092i \(0.309441\pi\)
\(314\) 6.45722 14.6483i 0.364402 0.826653i
\(315\) 5.51858i 0.310937i
\(316\) 14.7345 3.24572i 0.828882 0.182586i
\(317\) −2.28007 1.31640i −0.128061 0.0739362i 0.434601 0.900623i \(-0.356889\pi\)
−0.562662 + 0.826687i \(0.690223\pi\)
\(318\) −10.3922 + 7.60913i −0.582768 + 0.426699i
\(319\) 6.34889 10.9966i 0.355470 0.615692i
\(320\) −23.6606 9.91293i −1.32267 0.554149i
\(321\) 4.40611 + 7.63161i 0.245925 + 0.425955i
\(322\) −15.4674 + 1.68340i −0.861965 + 0.0938121i
\(323\) −5.79377 3.30337i −0.322374 0.183804i
\(324\) −5.81443 + 1.28080i −0.323024 + 0.0711556i
\(325\) −11.2509 + 6.49569i −0.624086 + 0.360316i
\(326\) 17.8892 13.0983i 0.990790 0.725450i
\(327\) −13.3671 7.71749i −0.739201 0.426778i
\(328\) −2.36234 + 2.68276i −0.130438 + 0.148131i
\(329\) 4.42486 7.66408i 0.243950 0.422534i
\(330\) 1.31979 + 12.1265i 0.0726523 + 0.667545i
\(331\) 9.30930 0.511685 0.255843 0.966718i \(-0.417647\pi\)
0.255843 + 0.966718i \(0.417647\pi\)
\(332\) −14.9510 4.73623i −0.820544 0.259934i
\(333\) 11.8905 + 6.86496i 0.651593 + 0.376198i
\(334\) −5.07403 + 0.552233i −0.277639 + 0.0302168i
\(335\) 0.151248 0.00826358
\(336\) −6.34770 0.572616i −0.346295 0.0312388i
\(337\) −3.28961 + 1.89926i −0.179196 + 0.103459i −0.586915 0.809648i \(-0.699658\pi\)
0.407719 + 0.913108i \(0.366324\pi\)
\(338\) 3.96575 8.99638i 0.215708 0.489339i
\(339\) 5.46715 3.15646i 0.296935 0.171435i
\(340\) 6.61959 + 7.24362i 0.358998 + 0.392840i
\(341\) 16.4430i 0.890439i
\(342\) −6.81810 + 5.04906i −0.368680 + 0.273022i
\(343\) 15.5510i 0.839674i
\(344\) 10.8916 12.3689i 0.587235 0.666886i
\(345\) −31.1339 + 17.9751i −1.67619 + 0.967749i
\(346\) −6.67791 2.94373i −0.359007 0.158256i
\(347\) −3.07657 + 1.77626i −0.165159 + 0.0953546i −0.580301 0.814402i \(-0.697065\pi\)
0.415142 + 0.909757i \(0.363732\pi\)
\(348\) 14.6141 + 4.62949i 0.783398 + 0.248167i
\(349\) −1.91850 −0.102695 −0.0513475 0.998681i \(-0.516352\pi\)
−0.0513475 + 0.998681i \(0.516352\pi\)
\(350\) 1.01074 + 9.28693i 0.0540266 + 0.496407i
\(351\) 11.8767 + 6.85700i 0.633930 + 0.366000i
\(352\) 11.9392 0.220226i 0.636361 0.0117381i
\(353\) −7.11843 −0.378876 −0.189438 0.981893i \(-0.560667\pi\)
−0.189438 + 0.981893i \(0.560667\pi\)
\(354\) 10.1591 1.10567i 0.539952 0.0587657i
\(355\) −10.0238 + 17.3618i −0.532010 + 0.921469i
\(356\) 10.2705 9.38576i 0.544338 0.497444i
\(357\) 2.11131 + 1.21897i 0.111743 + 0.0645146i
\(358\) 2.30770 + 3.15176i 0.121966 + 0.166576i
\(359\) −7.25210 + 4.18700i −0.382751 + 0.220982i −0.679015 0.734125i \(-0.737593\pi\)
0.296263 + 0.955106i \(0.404259\pi\)
\(360\) 11.8284 3.98851i 0.623410 0.210213i
\(361\) 9.32139 16.5563i 0.490600 0.871385i
\(362\) 0.367273 + 3.37458i 0.0193034 + 0.177364i
\(363\) 4.16932 + 7.22147i 0.218833 + 0.379029i
\(364\) 4.14897 + 4.54009i 0.217465 + 0.237965i
\(365\) 2.11029 3.65513i 0.110458 0.191318i
\(366\) 5.98298 + 8.17130i 0.312735 + 0.427121i
\(367\) −19.7381 11.3958i −1.03032 0.594857i −0.113246 0.993567i \(-0.536125\pi\)
−0.917077 + 0.398710i \(0.869458\pi\)
\(368\) 14.7871 + 31.9357i 0.770830 + 1.66477i
\(369\) 1.73939i 0.0905489i
\(370\) 41.3965 + 18.2482i 2.15210 + 0.948680i
\(371\) 4.46874 7.74008i 0.232005 0.401845i
\(372\) −19.3866 + 4.27048i −1.00515 + 0.221414i
\(373\) 23.5670i 1.22025i −0.792305 0.610125i \(-0.791119\pi\)
0.792305 0.610125i \(-0.208881\pi\)
\(374\) −4.17960 1.84243i −0.216122 0.0952700i
\(375\) 0.577455 + 1.00018i 0.0298197 + 0.0516492i
\(376\) −19.6250 3.94496i −1.01208 0.203446i
\(377\) −7.39654 12.8112i −0.380941 0.659809i
\(378\) 7.95659 5.82577i 0.409243 0.299645i
\(379\) 38.1884 1.96161 0.980804 0.194995i \(-0.0624689\pi\)
0.980804 + 0.194995i \(0.0624689\pi\)
\(380\) −20.5337 + 18.9697i −1.05336 + 0.973123i
\(381\) 7.29535 0.373752
\(382\) −5.00378 + 3.66374i −0.256016 + 0.187453i
\(383\) 10.8906 + 18.8631i 0.556483 + 0.963857i 0.997786 + 0.0664990i \(0.0211829\pi\)
−0.441303 + 0.897358i \(0.645484\pi\)
\(384\) 3.36042 + 14.0193i 0.171486 + 0.715421i
\(385\) −4.23213 7.33026i −0.215689 0.373585i
\(386\) −11.6029 5.11475i −0.590573 0.260334i
\(387\) 8.01946i 0.407652i
\(388\) 4.23244 + 19.2140i 0.214870 + 0.975441i
\(389\) −13.4725 + 23.3351i −0.683084 + 1.18314i 0.290950 + 0.956738i \(0.406029\pi\)
−0.974035 + 0.226399i \(0.927305\pi\)
\(390\) 13.0036 + 5.73221i 0.658464 + 0.290262i
\(391\) 13.4618i 0.680792i
\(392\) −14.5704 + 4.91312i −0.735917 + 0.248150i
\(393\) 20.6032 + 11.8952i 1.03929 + 0.600035i
\(394\) 1.16313 + 1.58855i 0.0585975 + 0.0800300i
\(395\) −12.0953 + 20.9497i −0.608582 + 1.05410i
\(396\) −4.28927 + 3.91975i −0.215544 + 0.196975i
\(397\) 2.35770 + 4.08365i 0.118329 + 0.204953i 0.919106 0.394011i \(-0.128913\pi\)
−0.800776 + 0.598964i \(0.795579\pi\)
\(398\) −0.0427497 0.392794i −0.00214285 0.0196890i
\(399\) −3.44007 + 6.03353i −0.172219 + 0.302054i
\(400\) 19.1748 8.87846i 0.958742 0.443923i
\(401\) 4.16941 2.40721i 0.208210 0.120210i −0.392269 0.919850i \(-0.628310\pi\)
0.600479 + 0.799640i \(0.294976\pi\)
\(402\) −0.0502136 0.0685797i −0.00250443 0.00342045i
\(403\) 16.5899 + 9.57816i 0.826400 + 0.477122i
\(404\) −8.45505 9.25209i −0.420654 0.460309i
\(405\) 4.77297 8.26703i 0.237171 0.410792i
\(406\) −10.5749 + 1.15092i −0.524822 + 0.0571191i
\(407\) −21.0586 −1.04384
\(408\) 1.08676 5.40633i 0.0538029 0.267653i
\(409\) 12.2147 + 7.05216i 0.603978 + 0.348707i 0.770605 0.637313i \(-0.219954\pi\)
−0.166627 + 0.986020i \(0.553288\pi\)
\(410\) −0.620103 5.69763i −0.0306247 0.281386i
\(411\) −25.3988 −1.25283
\(412\) −0.318096 + 1.00415i −0.0156715 + 0.0494707i
\(413\) −6.14100 + 3.54551i −0.302179 + 0.174463i
\(414\) −15.6698 6.90750i −0.770129 0.339485i
\(415\) 21.7766 12.5727i 1.06897 0.617171i
\(416\) 6.73246 12.1741i 0.330086 0.596884i
\(417\) 13.3014i 0.651373i
\(418\) 5.18433 11.9353i 0.253574 0.583775i
\(419\) 31.5299i 1.54034i −0.637840 0.770169i \(-0.720172\pi\)
0.637840 0.770169i \(-0.279828\pi\)
\(420\) 7.54337 6.89353i 0.368079 0.336370i
\(421\) 23.2374 13.4161i 1.13252 0.653862i 0.187954 0.982178i \(-0.439814\pi\)
0.944568 + 0.328316i \(0.106481\pi\)
\(422\) −0.0949799 + 0.215464i −0.00462355 + 0.0104886i
\(423\) 8.43547 4.87022i 0.410147 0.236798i
\(424\) −19.8196 3.98408i −0.962525 0.193484i
\(425\) −8.08272 −0.392069
\(426\) 11.2001 1.21897i 0.542648 0.0590592i
\(427\) −6.08594 3.51372i −0.294519 0.170041i
\(428\) −4.17694 + 13.1855i −0.201900 + 0.637345i
\(429\) −6.61502 −0.319376
\(430\) 2.85899 + 26.2690i 0.137873 + 1.26680i
\(431\) 3.89128 6.73989i 0.187436 0.324649i −0.756958 0.653463i \(-0.773316\pi\)
0.944395 + 0.328814i \(0.106649\pi\)
\(432\) −18.2373 12.8434i −0.877445 0.617929i
\(433\) −13.2846 7.66988i −0.638418 0.368591i 0.145587 0.989345i \(-0.453493\pi\)
−0.784005 + 0.620755i \(0.786826\pi\)
\(434\) 11.1141 8.13769i 0.533495 0.390621i
\(435\) −21.2858 + 12.2894i −1.02058 + 0.589231i
\(436\) −5.21156 23.6589i −0.249589 1.13305i
\(437\) 38.3501 0.207494i 1.83454 0.00992577i
\(438\) −2.35793 + 0.256626i −0.112666 + 0.0122621i
\(439\) 12.6149 + 21.8497i 0.602077 + 1.04283i 0.992506 + 0.122195i \(0.0389933\pi\)
−0.390429 + 0.920633i \(0.627673\pi\)
\(440\) −12.6527 + 14.3689i −0.603196 + 0.685011i
\(441\) 3.74105 6.47969i 0.178145 0.308557i
\(442\) −4.29353 + 3.14369i −0.204222 + 0.149530i
\(443\) 2.05095 + 1.18412i 0.0974435 + 0.0562590i 0.547930 0.836524i \(-0.315416\pi\)
−0.450486 + 0.892783i \(0.648749\pi\)
\(444\) −5.46920 24.8285i −0.259557 1.17831i
\(445\) 22.3074i 1.05747i
\(446\) −6.69218 + 15.1813i −0.316884 + 0.718857i
\(447\) 6.15852 10.6669i 0.291288 0.504526i
\(448\) −6.05758 7.96091i −0.286194 0.376118i
\(449\) 11.6774i 0.551093i −0.961288 0.275546i \(-0.911141\pi\)
0.961288 0.275546i \(-0.0888587\pi\)
\(450\) −4.14740 + 9.40846i −0.195510 + 0.443519i
\(451\) 1.33391 + 2.31041i 0.0628115 + 0.108793i
\(452\) 9.44586 + 2.99228i 0.444296 + 0.140745i
\(453\) −7.07416 12.2528i −0.332373 0.575687i
\(454\) 7.33762 + 10.0214i 0.344371 + 0.470328i
\(455\) −9.86096 −0.462289
\(456\) 15.4184 + 3.01266i 0.722032 + 0.141081i
\(457\) −8.71735 −0.407781 −0.203890 0.978994i \(-0.565359\pi\)
−0.203890 + 0.978994i \(0.565359\pi\)
\(458\) −5.45855 7.45506i −0.255061 0.348352i
\(459\) 4.26615 + 7.38919i 0.199127 + 0.344898i
\(460\) −53.7915 17.0402i −2.50804 0.794504i
\(461\) −10.5590 18.2887i −0.491781 0.851789i 0.508174 0.861254i \(-0.330321\pi\)
−0.999955 + 0.00946495i \(0.996987\pi\)
\(462\) −1.91868 + 4.35256i −0.0892649 + 0.202499i
\(463\) 0.355651i 0.0165285i −0.999966 0.00826426i \(-0.997369\pi\)
0.999966 0.00826426i \(-0.00263062\pi\)
\(464\) 10.1098 + 21.8341i 0.469334 + 1.01362i
\(465\) 15.9142 27.5641i 0.738001 1.27826i
\(466\) −14.9816 + 33.9860i −0.694007 + 1.57437i
\(467\) 4.47951i 0.207287i −0.994615 0.103643i \(-0.966950\pi\)
0.994615 0.103643i \(-0.0330501\pi\)
\(468\) 1.45624 + 6.61085i 0.0673145 + 0.305587i
\(469\) 0.0510778 + 0.0294898i 0.00235855 + 0.00136171i
\(470\) 25.8954 18.9605i 1.19447 0.874581i
\(471\) 7.21202 12.4916i 0.332312 0.575582i
\(472\) 12.0377 + 10.5999i 0.554080 + 0.487902i
\(473\) −6.15002 10.6521i −0.282778 0.489786i
\(474\) 13.5147 1.47087i 0.620751 0.0675595i
\(475\) −0.124583 23.0262i −0.00571627 1.05651i
\(476\) 0.823159 + 3.73689i 0.0377295 + 0.171280i
\(477\) 8.51912 4.91852i 0.390064 0.225203i
\(478\) −26.8950 + 19.6924i −1.23015 + 0.900707i
\(479\) 21.4965 + 12.4110i 0.982199 + 0.567073i 0.902933 0.429781i \(-0.141409\pi\)
0.0792655 + 0.996854i \(0.474743\pi\)
\(480\) −20.2273 11.1860i −0.923246 0.510569i
\(481\) −12.2668 + 21.2466i −0.559316 + 0.968764i
\(482\) −2.39657 22.0202i −0.109161 1.00299i
\(483\) −14.0189 −0.637880
\(484\) −3.95246 + 12.4769i −0.179657 + 0.567131i
\(485\) −27.3186 15.7724i −1.24048 0.716189i
\(486\) 18.1870 1.97939i 0.824981 0.0897869i
\(487\) −36.2102 −1.64084 −0.820420 0.571761i \(-0.806261\pi\)
−0.820420 + 0.571761i \(0.806261\pi\)
\(488\) −3.13264 + 15.5839i −0.141808 + 0.705452i
\(489\) 17.3010 9.98871i 0.782376 0.451705i
\(490\) 9.94434 22.5589i 0.449240 1.01911i
\(491\) 5.16077 2.97957i 0.232902 0.134466i −0.379008 0.925393i \(-0.623735\pi\)
0.611910 + 0.790927i \(0.290401\pi\)
\(492\) −2.37758 + 2.17275i −0.107189 + 0.0979553i
\(493\) 9.20366i 0.414512i
\(494\) −9.02198 12.1830i −0.405918 0.548140i
\(495\) 9.31619i 0.418732i
\(496\) −25.4747 17.9402i −1.14385 0.805540i
\(497\) −6.77026 + 3.90881i −0.303688 + 0.175334i
\(498\) −12.9305 5.69997i −0.579429 0.255422i
\(499\) −20.1581 + 11.6383i −0.902402 + 0.521002i −0.877979 0.478700i \(-0.841108\pi\)
−0.0244234 + 0.999702i \(0.507775\pi\)
\(500\) −0.547421 + 1.72806i −0.0244814 + 0.0772813i
\(501\) −4.59884 −0.205461
\(502\) −3.91486 35.9706i −0.174729 1.60545i
\(503\) 16.4493 + 9.49702i 0.733439 + 0.423451i 0.819679 0.572823i \(-0.194152\pi\)
−0.0862401 + 0.996274i \(0.527485\pi\)
\(504\) 4.77220 + 0.959293i 0.212571 + 0.0427303i
\(505\) 20.0953 0.894231
\(506\) 26.1113 2.84183i 1.16079 0.126335i
\(507\) 4.42931 7.67179i 0.196713 0.340716i
\(508\) 7.72442 + 8.45260i 0.342716 + 0.375023i
\(509\) 11.3577 + 6.55740i 0.503423 + 0.290652i 0.730126 0.683312i \(-0.239461\pi\)
−0.226703 + 0.973964i \(0.572795\pi\)
\(510\) 5.22326 + 7.13372i 0.231290 + 0.315886i
\(511\) 1.42532 0.822911i 0.0630526 0.0364035i
\(512\) −12.6851 + 18.7373i −0.560608 + 0.828081i
\(513\) −20.9847 + 12.2674i −0.926496 + 0.541618i
\(514\) 3.08207 + 28.3187i 0.135944 + 1.24908i
\(515\) −0.844413 1.46257i −0.0372093 0.0644483i
\(516\) 10.9618 10.0175i 0.482568 0.440996i
\(517\) −7.46982 + 12.9381i −0.328522 + 0.569017i
\(518\) 10.4219 + 14.2339i 0.457914 + 0.625400i
\(519\) −5.69468 3.28783i −0.249969 0.144320i
\(520\) 7.12693 + 21.1357i 0.312537 + 0.926862i
\(521\) 24.9294i 1.09218i −0.837727 0.546089i \(-0.816116\pi\)
0.837727 0.546089i \(-0.183884\pi\)
\(522\) −10.7133 4.72258i −0.468907 0.206702i
\(523\) 15.1705 26.2761i 0.663359 1.14897i −0.316368 0.948636i \(-0.602464\pi\)
0.979727 0.200335i \(-0.0642031\pi\)
\(524\) 8.03276 + 36.4662i 0.350913 + 1.59303i
\(525\) 8.41720i 0.367357i
\(526\) −4.70433 2.07375i −0.205119 0.0904196i
\(527\) 5.95915 + 10.3215i 0.259584 + 0.449613i
\(528\) 10.7159 + 0.966661i 0.466348 + 0.0420685i
\(529\) 27.2047 + 47.1198i 1.18281 + 2.04869i
\(530\) 26.1522 19.1485i 1.13598 0.831757i
\(531\) −7.80473 −0.338696
\(532\) −10.6330 + 2.40263i −0.461000 + 0.104167i
\(533\) 3.10805 0.134625
\(534\) 10.1147 7.40593i 0.437707 0.320486i
\(535\) −11.0880 19.2051i −0.479378 0.830307i
\(536\) 0.0262915 0.130792i 0.00113562 0.00564936i
\(537\) 1.75984 + 3.04813i 0.0759425 + 0.131536i
\(538\) 23.7876 + 10.4860i 1.02556 + 0.452082i
\(539\) 11.4759i 0.494300i
\(540\) 34.9264 7.69357i 1.50299 0.331078i
\(541\) 12.1933 21.1195i 0.524233 0.907998i −0.475369 0.879787i \(-0.657685\pi\)
0.999602 0.0282117i \(-0.00898124\pi\)
\(542\) −24.9995 11.0202i −1.07382 0.473356i
\(543\) 3.05854i 0.131255i
\(544\) 7.41460 4.46514i 0.317898 0.191441i
\(545\) 33.6384 + 19.4212i 1.44091 + 0.831911i
\(546\) 3.27379 + 4.47120i 0.140105 + 0.191350i
\(547\) −18.7226 + 32.4286i −0.800522 + 1.38655i 0.118751 + 0.992924i \(0.462111\pi\)
−0.919273 + 0.393621i \(0.871222\pi\)
\(548\) −26.8926 29.4278i −1.14880 1.25709i
\(549\) −3.86737 6.69849i −0.165056 0.285885i
\(550\) −1.70629 15.6777i −0.0727564 0.668500i
\(551\) 26.2195 0.141861i 1.11699 0.00604348i
\(552\) 10.1320 + 30.0476i 0.431247 + 1.27891i
\(553\) −8.16937 + 4.71659i −0.347397 + 0.200570i
\(554\) −13.8338 18.8936i −0.587740 0.802712i
\(555\) 35.3014 + 20.3813i 1.49846 + 0.865137i
\(556\) 15.4114 14.0837i 0.653588 0.597283i
\(557\) −7.69507 + 13.3283i −0.326051 + 0.564736i −0.981724 0.190308i \(-0.939051\pi\)
0.655674 + 0.755044i \(0.272385\pi\)
\(558\) 15.0723 1.64039i 0.638059 0.0694433i
\(559\) −14.3297 −0.606082
\(560\) 15.9741 + 1.44100i 0.675027 + 0.0608932i
\(561\) −3.56421 2.05780i −0.150481 0.0868803i
\(562\) 0.610426 + 5.60872i 0.0257493 + 0.236590i
\(563\) −25.2567 −1.06444 −0.532222 0.846605i \(-0.678643\pi\)
−0.532222 + 0.846605i \(0.678643\pi\)
\(564\) −17.1943 5.44685i −0.724010 0.229354i
\(565\) −13.7582 + 7.94327i −0.578810 + 0.334176i
\(566\) 19.1947 + 8.46132i 0.806813 + 0.355656i
\(567\) 3.22374 1.86123i 0.135384 0.0781641i
\(568\) 13.2712 + 11.6861i 0.556846 + 0.490338i
\(569\) 46.3413i 1.94273i 0.237599 + 0.971363i \(0.423639\pi\)
−0.237599 + 0.971363i \(0.576361\pi\)
\(570\) −20.2421 + 14.9901i −0.847850 + 0.627865i
\(571\) 32.1609i 1.34589i 0.739692 + 0.672946i \(0.234971\pi\)
−0.739692 + 0.672946i \(0.765029\pi\)
\(572\) −7.00407 7.66434i −0.292855 0.320462i
\(573\) −4.83925 + 2.79394i −0.202163 + 0.116719i
\(574\) 0.901486 2.04504i 0.0376273 0.0853583i
\(575\) 40.2512 23.2390i 1.67859 0.969135i
\(576\) −1.39295 10.9219i −0.0580394 0.455080i
\(577\) −39.2983 −1.63601 −0.818004 0.575212i \(-0.804919\pi\)
−0.818004 + 0.575212i \(0.804919\pi\)
\(578\) 20.6092 2.24300i 0.857229 0.0932966i
\(579\) −9.89455 5.71262i −0.411204 0.237408i
\(580\) −36.7766 11.6502i −1.52706 0.483748i
\(581\) 9.80550 0.406801
\(582\) 1.91803 + 17.6233i 0.0795051 + 0.730509i
\(583\) −7.54389 + 13.0664i −0.312436 + 0.541155i
\(584\) −2.79395 2.46025i −0.115614 0.101806i
\(585\) −9.39938 5.42674i −0.388617 0.224368i
\(586\) −26.2327 + 19.2074i −1.08366 + 0.793452i
\(587\) −15.4560 + 8.92352i −0.637937 + 0.368313i −0.783819 0.620989i \(-0.786731\pi\)
0.145883 + 0.989302i \(0.453398\pi\)
\(588\) −13.5302 + 2.98044i −0.557978 + 0.122911i
\(589\) −29.3123 + 17.1356i −1.20779 + 0.706060i
\(590\) −25.5656 + 2.78243i −1.05252 + 0.114551i
\(591\) 0.886993 + 1.53632i 0.0364860 + 0.0631956i
\(592\) 22.9761 32.6255i 0.944311 1.34090i
\(593\) 11.7249 20.3082i 0.481485 0.833957i −0.518289 0.855205i \(-0.673431\pi\)
0.999774 + 0.0212488i \(0.00676420\pi\)
\(594\) −13.4319 + 9.83476i −0.551118 + 0.403525i
\(595\) −5.31315 3.06755i −0.217818 0.125757i
\(596\) 18.8797 4.15880i 0.773341 0.170351i
\(597\) 0.356008i 0.0145704i
\(598\) 12.3428 27.9998i 0.504734 1.14500i
\(599\) 7.40584 12.8273i 0.302595 0.524109i −0.674128 0.738614i \(-0.735481\pi\)
0.976723 + 0.214505i \(0.0688138\pi\)
\(600\) 18.0412 6.08346i 0.736528 0.248356i
\(601\) 4.30046i 0.175419i 0.996146 + 0.0877097i \(0.0279548\pi\)
−0.996146 + 0.0877097i \(0.972045\pi\)
\(602\) −4.15631 + 9.42868i −0.169399 + 0.384284i
\(603\) 0.0324579 + 0.0562188i 0.00132179 + 0.00228940i
\(604\) 6.70622 21.1698i 0.272872 0.861386i
\(605\) −10.4921 18.1729i −0.426566 0.738835i
\(606\) −6.67154 9.11172i −0.271013 0.370138i
\(607\) 20.1844 0.819260 0.409630 0.912252i \(-0.365658\pi\)
0.409630 + 0.912252i \(0.365658\pi\)
\(608\) 12.8347 + 21.0540i 0.520514 + 0.853853i
\(609\) −9.58452 −0.388385
\(610\) −15.0562 20.5632i −0.609609 0.832579i
\(611\) 8.70243 + 15.0730i 0.352062 + 0.609790i
\(612\) −1.27187 + 4.01497i −0.0514125 + 0.162296i
\(613\) 0.467103 + 0.809046i 0.0188661 + 0.0326771i 0.875304 0.483572i \(-0.160661\pi\)
−0.856438 + 0.516250i \(0.827328\pi\)
\(614\) −11.7675 + 26.6949i −0.474899 + 1.07732i
\(615\) 5.16404i 0.208234i
\(616\) −7.07452 + 2.38552i −0.285040 + 0.0961153i
\(617\) −4.11324 + 7.12434i −0.165593 + 0.286815i −0.936866 0.349690i \(-0.886287\pi\)
0.771273 + 0.636505i \(0.219620\pi\)
\(618\) −0.382823 + 0.868441i −0.0153994 + 0.0349338i
\(619\) 7.04730i 0.283255i −0.989920 0.141627i \(-0.954766\pi\)
0.989920 0.141627i \(-0.0452335\pi\)
\(620\) 48.7867 10.7467i 1.95932 0.431598i
\(621\) −42.4901 24.5316i −1.70507 0.984421i
\(622\) −3.60991 + 2.64315i −0.144744 + 0.105981i
\(623\) −4.34940 + 7.53338i −0.174255 + 0.301819i
\(624\) 7.21734 10.2485i 0.288925 0.410267i
\(625\) 11.7534 + 20.3576i 0.470138 + 0.814302i
\(626\) −21.5724 + 2.34783i −0.862206 + 0.0938383i
\(627\) 5.80735 10.1855i 0.231923 0.406770i
\(628\) 22.1093 4.87022i 0.882256 0.194343i
\(629\) −13.2188 + 7.63188i −0.527068 + 0.304303i
\(630\) −6.29697 + 4.61060i −0.250877 + 0.183691i
\(631\) 17.5204 + 10.1154i 0.697476 + 0.402688i 0.806407 0.591362i \(-0.201409\pi\)
−0.108931 + 0.994049i \(0.534743\pi\)
\(632\) 16.0138 + 14.1011i 0.636993 + 0.560913i
\(633\) −0.106082 + 0.183740i −0.00421639 + 0.00730300i
\(634\) −0.402851 3.70148i −0.0159992 0.147004i
\(635\) −18.3589 −0.728549
\(636\) −17.3648 5.50086i −0.688558 0.218123i
\(637\) 11.5783 + 6.68475i 0.458750 + 0.264860i
\(638\) 17.8520 1.94292i 0.706766 0.0769210i
\(639\) −8.60447 −0.340387
\(640\) −8.45654 35.2798i −0.334274 1.39456i
\(641\) −6.91570 + 3.99278i −0.273154 + 0.157705i −0.630320 0.776335i \(-0.717076\pi\)
0.357166 + 0.934041i \(0.383743\pi\)
\(642\) −5.02687 + 11.4036i −0.198395 + 0.450063i
\(643\) −9.89926 + 5.71534i −0.390389 + 0.225391i −0.682328 0.731046i \(-0.739033\pi\)
0.291940 + 0.956437i \(0.405699\pi\)
\(644\) −14.8434 16.2426i −0.584911 0.640050i
\(645\) 23.8089i 0.937473i
\(646\) −1.07121 9.37084i −0.0421461 0.368691i
\(647\) 48.3776i 1.90192i −0.309312 0.950961i \(-0.600099\pi\)
0.309312 0.950961i \(-0.399901\pi\)
\(648\) −6.31923 5.56448i −0.248243 0.218593i
\(649\) 10.3669 5.98534i 0.406937 0.234945i
\(650\) −16.8117 7.41085i −0.659407 0.290677i
\(651\) 10.7487 6.20575i 0.421274 0.243222i
\(652\) 29.8917 + 9.46918i 1.17065 + 0.370842i
\(653\) 32.2260 1.26110 0.630551 0.776148i \(-0.282829\pi\)
0.630551 + 0.776148i \(0.282829\pi\)
\(654\) −2.36175 21.7002i −0.0923516 0.848545i
\(655\) −51.8481 29.9345i −2.02587 1.16964i
\(656\) −5.03482 0.454183i −0.196577 0.0177329i
\(657\) 1.81148 0.0706724
\(658\) 12.4419 1.35412i 0.485036 0.0527890i
\(659\) 13.5111 23.4019i 0.526317 0.911608i −0.473213 0.880948i \(-0.656906\pi\)
0.999530 0.0306595i \(-0.00976076\pi\)
\(660\) −12.7343 + 11.6373i −0.495683 + 0.452981i
\(661\) 23.1686 + 13.3764i 0.901155 + 0.520282i 0.877575 0.479440i \(-0.159160\pi\)
0.0235802 + 0.999722i \(0.492493\pi\)
\(662\) 7.77763 + 10.6224i 0.302286 + 0.412850i
\(663\) −4.15235 + 2.39736i −0.161264 + 0.0931057i
\(664\) −7.08685 21.0168i −0.275023 0.815611i
\(665\) 8.65699 15.1835i 0.335703 0.588790i
\(666\) 2.10085 + 19.3031i 0.0814063 + 0.747978i
\(667\) 26.4619 + 45.8334i 1.02461 + 1.77467i
\(668\) −4.86932 5.32834i −0.188400 0.206160i
\(669\) −7.47444 + 12.9461i −0.288978 + 0.500525i
\(670\) 0.126363 + 0.172582i 0.00488184 + 0.00666742i
\(671\) 10.2740 + 5.93168i 0.396622 + 0.228990i
\(672\) −4.64992 7.72143i −0.179375 0.297861i
\(673\) 29.5414i 1.13874i −0.822083 0.569368i \(-0.807188\pi\)
0.822083 0.569368i \(-0.192812\pi\)
\(674\) −4.91551 2.16684i −0.189338 0.0834634i
\(675\) −14.7293 + 25.5119i −0.566930 + 0.981952i
\(676\) 13.5786 2.99108i 0.522253 0.115042i
\(677\) 15.6682i 0.602176i −0.953596 0.301088i \(-0.902650\pi\)
0.953596 0.301088i \(-0.0973498\pi\)
\(678\) 8.16931 + 3.60116i 0.313740 + 0.138302i
\(679\) −6.15048 10.6529i −0.236034 0.408822i
\(680\) −2.73486 + 13.6051i −0.104877 + 0.521732i
\(681\) 5.59562 + 9.69190i 0.214425 + 0.371394i
\(682\) −18.7623 + 13.7376i −0.718445 + 0.526041i
\(683\) −29.7127 −1.13693 −0.568463 0.822709i \(-0.692462\pi\)
−0.568463 + 0.822709i \(0.692462\pi\)
\(684\) −11.4575 3.56145i −0.438089 0.136175i
\(685\) 63.9165 2.44212
\(686\) 17.7444 12.9923i 0.677485 0.496050i
\(687\) −4.16265 7.20993i −0.158815 0.275076i
\(688\) 23.2131 + 2.09402i 0.884991 + 0.0798337i
\(689\) 8.78872 + 15.2225i 0.334824 + 0.579932i
\(690\) −46.5219 20.5076i −1.77106 0.780710i
\(691\) 32.8555i 1.24988i −0.780671 0.624942i \(-0.785123\pi\)
0.780671 0.624942i \(-0.214877\pi\)
\(692\) −2.22024 10.0792i −0.0844010 0.383154i
\(693\) 1.81643 3.14615i 0.0690005 0.119512i
\(694\) −4.59718 2.02651i −0.174506 0.0769252i
\(695\) 33.4732i 1.26971i
\(696\) 6.92714 + 20.5432i 0.262573 + 0.778688i
\(697\) 1.67464 + 0.966852i 0.0634314 + 0.0366221i
\(698\) −1.60285 2.18911i −0.0606687 0.0828588i
\(699\) −16.7328 + 28.9820i −0.632892 + 1.09620i
\(700\) −9.75240 + 8.91225i −0.368606 + 0.336851i
\(701\) −8.96916 15.5350i −0.338761 0.586751i 0.645439 0.763812i \(-0.276674\pi\)
−0.984200 + 0.177061i \(0.943341\pi\)
\(702\) 2.09841 + 19.2807i 0.0791996 + 0.727702i
\(703\) −21.9456 37.5403i −0.827693 1.41586i
\(704\) 10.2261 + 13.4392i 0.385411 + 0.506509i
\(705\) 25.0439 14.4591i 0.943209 0.544562i
\(706\) −5.94722 8.12248i −0.223827 0.305693i
\(707\) 6.78635 + 3.91810i 0.255227 + 0.147355i
\(708\) 9.74926 + 10.6683i 0.366400 + 0.400940i
\(709\) 3.51145 6.08201i 0.131875 0.228415i −0.792524 0.609841i \(-0.791233\pi\)
0.924399 + 0.381426i \(0.124567\pi\)
\(710\) −28.1853 + 3.06755i −1.05777 + 0.115123i
\(711\) −10.3826 −0.389379
\(712\) 19.2903 + 3.87769i 0.722936 + 0.145322i
\(713\) −59.3520 34.2669i −2.22275 1.28330i
\(714\) 0.373035 + 3.42752i 0.0139605 + 0.128272i
\(715\) 16.6468 0.622554
\(716\) −1.66830 + 5.26639i −0.0623474 + 0.196814i
\(717\) −26.0107 + 15.0173i −0.971386 + 0.560830i
\(718\) −10.8365 4.77689i −0.404414 0.178272i
\(719\) 23.4325 13.5288i 0.873886 0.504538i 0.00524853 0.999986i \(-0.498329\pi\)
0.868638 + 0.495448i \(0.164996\pi\)
\(720\) 14.4333 + 10.1645i 0.537898 + 0.378808i
\(721\) 0.658560i 0.0245260i
\(722\) 26.6793 3.19611i 0.992901 0.118947i
\(723\) 19.9580i 0.742245i
\(724\) −3.54371 + 3.23843i −0.131701 + 0.120355i
\(725\) 27.5193 15.8882i 1.02204 0.590075i
\(726\) −4.75672 + 10.7907i −0.176538 + 0.400481i
\(727\) 23.9684 13.8381i 0.888938 0.513229i 0.0153429 0.999882i \(-0.495116\pi\)
0.873595 + 0.486654i \(0.161783\pi\)
\(728\) −1.71413 + 8.52727i −0.0635298 + 0.316042i
\(729\) 25.4145 0.941279
\(730\) 5.93377 0.645803i 0.219619 0.0239022i
\(731\) −7.72093 4.45768i −0.285569 0.164873i
\(732\) −4.32527 + 13.6537i −0.159867 + 0.504657i
\(733\) −2.82689 −0.104414 −0.0522068 0.998636i \(-0.516626\pi\)
−0.0522068 + 0.998636i \(0.516626\pi\)
\(734\) −3.48741 32.0430i −0.128723 1.18273i
\(735\) 11.1068 19.2375i 0.409679 0.709584i
\(736\) −24.0861 + 43.5541i −0.887825 + 1.60543i
\(737\) −0.0862268 0.0497831i −0.00317621 0.00183378i
\(738\) 1.98473 1.45320i 0.0730588 0.0534932i
\(739\) −21.3233 + 12.3110i −0.784392 + 0.452869i −0.837984 0.545694i \(-0.816266\pi\)
0.0535927 + 0.998563i \(0.482933\pi\)
\(740\) 13.7633 + 62.4812i 0.505950 + 2.29685i
\(741\) −6.89364 11.7923i −0.253244 0.433202i
\(742\) 12.5653 1.36755i 0.461286 0.0502042i
\(743\) 3.96328 + 6.86460i 0.145399 + 0.251838i 0.929522 0.368768i \(-0.120220\pi\)
−0.784123 + 0.620605i \(0.786887\pi\)
\(744\) −21.0697 18.5532i −0.772454 0.680195i
\(745\) −15.4980 + 26.8433i −0.567803 + 0.983463i
\(746\) 26.8910 19.6894i 0.984551 0.720882i
\(747\) 9.34651 + 5.39621i 0.341971 + 0.197437i
\(748\) −1.38962 6.30842i −0.0508094 0.230659i
\(749\) 8.64759i 0.315976i
\(750\) −0.658811 + 1.49453i −0.0240564 + 0.0545724i
\(751\) 7.13985 12.3666i 0.260537 0.451263i −0.705848 0.708363i \(-0.749434\pi\)
0.966385 + 0.257101i \(0.0827671\pi\)
\(752\) −11.8947 25.6890i −0.433754 0.936780i
\(753\) 32.6019i 1.18808i
\(754\) 8.43861 19.1431i 0.307316 0.697152i
\(755\) 17.8022 + 30.8344i 0.647889 + 1.12218i
\(756\) 13.2950 + 4.21162i 0.483533 + 0.153175i
\(757\) −17.1966 29.7854i −0.625021 1.08257i −0.988537 0.150981i \(-0.951757\pi\)
0.363515 0.931588i \(-0.381576\pi\)
\(758\) 31.9052 + 43.5749i 1.15885 + 1.58271i
\(759\) 23.6659 0.859019
\(760\) −38.8006 7.58140i −1.40744 0.275006i
\(761\) −31.6267 −1.14647 −0.573233 0.819392i \(-0.694311\pi\)
−0.573233 + 0.819392i \(0.694311\pi\)
\(762\) 6.09504 + 8.32435i 0.220800 + 0.301560i
\(763\) 7.57331 + 13.1174i 0.274172 + 0.474880i
\(764\) −8.36101 2.64862i −0.302491 0.0958238i
\(765\) −3.37630 5.84792i −0.122070 0.211432i
\(766\) −12.4249 + 28.1862i −0.448931 + 1.01841i
\(767\) 13.9460i 0.503561i
\(768\) −13.1892 + 15.5471i −0.475925 + 0.561008i
\(769\) 11.7685 20.3836i 0.424383 0.735052i −0.571980 0.820268i \(-0.693824\pi\)
0.996363 + 0.0852153i \(0.0271578\pi\)
\(770\) 4.82838 10.9533i 0.174003 0.394728i
\(771\) 25.6666i 0.924359i
\(772\) −3.85769 17.5127i −0.138841 0.630296i
\(773\) −10.5693 6.10219i −0.380152 0.219481i 0.297733 0.954649i \(-0.403770\pi\)