Properties

Label 76.2.f.a.31.4
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 31.4
Root \(-0.835469 + 1.14105i\) of defining polynomial
Character \(\chi\) \(=\) 76.31
Dual form 76.2.f.a.27.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.570443 - 1.29406i) q^{2} +(-0.637123 - 1.10353i) q^{3} +(-1.34919 + 1.47638i) q^{4} +(-1.60333 - 2.77705i) q^{5} +(-1.06459 + 1.45398i) q^{6} +1.25044i q^{7} +(2.68016 + 0.903746i) q^{8} +(0.688149 - 1.19191i) q^{9} +O(q^{10})\) \(q+(-0.570443 - 1.29406i) q^{2} +(-0.637123 - 1.10353i) q^{3} +(-1.34919 + 1.47638i) q^{4} +(-1.60333 - 2.77705i) q^{5} +(-1.06459 + 1.45398i) q^{6} +1.25044i q^{7} +(2.68016 + 0.903746i) q^{8} +(0.688149 - 1.19191i) q^{9} +(-2.67906 + 3.65895i) q^{10} -2.11093i q^{11} +(2.48882 + 0.548237i) q^{12} +(2.12978 + 1.22963i) q^{13} +(1.61815 - 0.713305i) q^{14} +(-2.04303 + 3.53864i) q^{15} +(-0.359374 - 3.98382i) 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} +(-2.73167 + 1.20416i) q^{22} +(7.61951 + 4.39913i) q^{23} +(-0.710280 - 3.53343i) q^{24} +(-2.64132 + 4.57491i) q^{25} +(0.376297 - 3.45750i) q^{26} -5.57648 q^{27} +(-1.84612 - 1.68708i) q^{28} +(-5.20937 - 3.00763i) q^{29} +(5.74465 + 0.625220i) q^{30} -7.78947 q^{31} +(-4.95031 + 2.73760i) q^{32} +(-2.32947 + 1.34492i) q^{33} +(1.27831 - 1.74586i) q^{34} +(3.47253 - 2.00487i) q^{35} +(0.831262 + 2.62408i) q^{36} +9.97599i q^{37} +(-4.99335 - 3.61476i) q^{38} -3.13370i q^{39} +(-1.78743 - 8.89192i) q^{40} +(1.09450 - 0.631908i) q^{41} +(-1.81811 - 1.33121i) q^{42} +(5.04619 - 2.91342i) q^{43} +(3.11653 + 2.84804i) q^{44} -4.41331 q^{45} +(1.34624 - 12.3696i) q^{46} +(-6.12910 - 3.53864i) q^{47} +(-4.16730 + 2.93477i) q^{48} +5.43640 q^{49} +(7.42693 + 0.808311i) q^{50} +(0.974831 - 1.68846i) q^{51} +(-4.68887 + 1.48535i) q^{52} +(6.18988 + 3.57373i) q^{53} +(3.18106 + 7.21631i) 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} +(-2.46792 - 7.79058i) q^{60} +(2.80998 - 4.86704i) q^{61} +(4.44345 + 10.0801i) q^{62} +(1.49041 + 0.860489i) q^{63} +(6.36649 + 4.84436i) q^{64} -7.88599i q^{65} +(3.06924 + 2.24728i) q^{66} +(0.0235835 - 0.0408478i) q^{67} +(-2.98846 - 0.658296i) q^{68} -11.2111i q^{69} +(-4.57530 - 3.35000i) q^{70} +(3.12595 + 5.41430i) q^{71} +(2.92153 - 2.57259i) q^{72} +(0.658098 + 1.13986i) q^{73} +(12.9095 - 5.69073i) q^{74} +6.73139 q^{75} +(-1.82930 + 8.52371i) q^{76} +2.63959 q^{77} +(-4.05520 + 1.78760i) q^{78} +(3.77194 + 6.53320i) q^{79} +(-10.4871 + 7.38538i) q^{80} +(1.48846 + 2.57808i) q^{81} +(-1.44208 - 1.05588i) q^{82} -7.84164i q^{83} +(-0.685538 + 3.11213i) q^{84} +(2.45317 - 4.24902i) q^{85} +(-6.64871 - 4.86814i) q^{86} +7.66492i q^{87} +(1.90774 - 5.65762i) q^{88} +(-6.02458 - 3.47830i) q^{89} +(2.51754 + 5.71110i) q^{90} +(-1.53758 + 2.66316i) q^{91} +(-16.7749 + 5.31401i) 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} +(-3.10116 - 7.03503i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.570443 1.29406i −0.403364 0.915040i
\(3\) −0.637123 1.10353i −0.367843 0.637123i 0.621385 0.783505i \(-0.286570\pi\)
−0.989228 + 0.146382i \(0.953237\pi\)
\(4\) −1.34919 + 1.47638i −0.674595 + 0.738188i
\(5\) −1.60333 2.77705i −0.717030 1.24193i −0.962171 0.272445i \(-0.912168\pi\)
0.245141 0.969487i \(-0.421166\pi\)
\(6\) −1.06459 + 1.45398i −0.434618 + 0.593584i
\(7\) 1.25044i 0.472622i 0.971677 + 0.236311i \(0.0759384\pi\)
−0.971677 + 0.236311i \(0.924062\pi\)
\(8\) 2.68016 + 0.903746i 0.947579 + 0.319522i
\(9\) 0.688149 1.19191i 0.229383 0.397303i
\(10\) −2.67906 + 3.65895i −0.847193 + 1.15706i
\(11\) 2.11093i 0.636469i −0.948012 0.318234i \(-0.896910\pi\)
0.948012 0.318234i \(-0.103090\pi\)
\(12\) 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 \(0.555888\pi\)
\(14\) 1.61815 0.713305i 0.432468 0.190639i
\(15\) −2.04303 + 3.53864i −0.527509 + 0.913673i
\(16\) −0.359374 3.98382i −0.0898436 0.995956i
\(17\) 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
\(22\) −2.73167 + 1.20416i −0.582394 + 0.256729i
\(23\) 7.61951 + 4.39913i 1.58878 + 0.917282i 0.993509 + 0.113756i \(0.0362881\pi\)
0.595270 + 0.803526i \(0.297045\pi\)
\(24\) −0.710280 3.53343i −0.144985 0.721258i
\(25\) −2.64132 + 4.57491i −0.528265 + 0.914981i
\(26\) 0.376297 3.45750i 0.0737980 0.678071i
\(27\) −5.57648 −1.07319
\(28\) −1.84612 1.68708i −0.348884 0.318828i
\(29\) −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 \(-0.746601\pi\)
−0.699515 + 0.714618i \(0.746601\pi\)
\(32\) −4.95031 + 2.73760i −0.875099 + 0.483943i
\(33\) −2.32947 + 1.34492i −0.405509 + 0.234121i
\(34\) 1.27831 1.74586i 0.219228 0.299413i
\(35\) 3.47253 2.00487i 0.586965 0.338884i
\(36\) 0.831262 + 2.62408i 0.138544 + 0.437346i
\(37\) 9.97599i 1.64004i 0.572334 + 0.820021i \(0.306038\pi\)
−0.572334 + 0.820021i \(0.693962\pi\)
\(38\) −4.99335 3.61476i −0.810028 0.586391i
\(39\) 3.13370i 0.501793i
\(40\) −1.78743 8.89192i −0.282617 1.40594i
\(41\) 1.09450 0.631908i 0.170932 0.0986875i −0.412093 0.911142i \(-0.635202\pi\)
0.583025 + 0.812454i \(0.301869\pi\)
\(42\) −1.81811 1.33121i −0.280541 0.205410i
\(43\) 5.04619 2.91342i 0.769537 0.444292i −0.0631725 0.998003i \(-0.520122\pi\)
0.832709 + 0.553710i \(0.186789\pi\)
\(44\) 3.11653 + 2.84804i 0.469834 + 0.429359i
\(45\) −4.41331 −0.657898
\(46\) 1.34624 12.3696i 0.198493 1.82379i
\(47\) −6.12910 3.53864i −0.894022 0.516164i −0.0187658 0.999824i \(-0.505974\pi\)
−0.875256 + 0.483660i \(0.839307\pi\)
\(48\) −4.16730 + 2.93477i −0.601498 + 0.423597i
\(49\) 5.43640 0.776629
\(50\) 7.42693 + 0.808311i 1.05033 + 0.114312i
\(51\) 0.974831 1.68846i 0.136504 0.236431i
\(52\) −4.68887 + 1.48535i −0.650230 + 0.205982i
\(53\) 6.18988 + 3.57373i 0.850246 + 0.490890i 0.860734 0.509055i \(-0.170005\pi\)
−0.0104881 + 0.999945i \(0.503339\pi\)
\(54\) 3.18106 + 7.21631i 0.432888 + 0.982015i
\(55\) −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 0.989431 0.145004i \(-0.0463195\pi\)
−0.620293 + 0.784371i \(0.712986\pi\)
\(60\) −2.46792 7.79058i −0.318607 1.00576i
\(61\) 2.80998 4.86704i 0.359782 0.623160i −0.628142 0.778098i \(-0.716185\pi\)
0.987924 + 0.154938i \(0.0495178\pi\)
\(62\) 4.44345 + 10.0801i 0.564319 + 1.28017i
\(63\) 1.49041 + 0.860489i 0.187774 + 0.108411i
\(64\) 6.36649 + 4.84436i 0.795811 + 0.605545i
\(65\) 7.88599i 0.978137i
\(66\) 3.06924 + 2.24728i 0.377797 + 0.276621i
\(67\) 0.0235835 0.0408478i 0.00288118 0.00499036i −0.864581 0.502493i \(-0.832416\pi\)
0.867462 + 0.497503i \(0.165750\pi\)
\(68\) −2.98846 0.658296i −0.362404 0.0798301i
\(69\) 11.2111i 1.34966i
\(70\) −4.57530 3.35000i −0.546853 0.400402i
\(71\) 3.12595 + 5.41430i 0.370982 + 0.642559i 0.989717 0.143041i \(-0.0456879\pi\)
−0.618735 + 0.785600i \(0.712355\pi\)
\(72\) 2.92153 2.57259i 0.344306 0.303183i
\(73\) 0.658098 + 1.13986i 0.0770245 + 0.133410i 0.901965 0.431809i \(-0.142125\pi\)
−0.824940 + 0.565220i \(0.808791\pi\)
\(74\) 12.9095 5.69073i 1.50070 0.661534i
\(75\) 6.73139 0.777274
\(76\) −1.82930 + 8.52371i −0.209835 + 0.977737i
\(77\) 2.63959 0.300809
\(78\) −4.05520 + 1.78760i −0.459161 + 0.202405i
\(79\) 3.77194 + 6.53320i 0.424377 + 0.735042i 0.996362 0.0852216i \(-0.0271598\pi\)
−0.571985 + 0.820264i \(0.693826\pi\)
\(80\) −10.4871 + 7.38538i −1.17249 + 0.825710i
\(81\) 1.48846 + 2.57808i 0.165384 + 0.286454i
\(82\) −1.44208 1.05588i −0.159251 0.116602i
\(83\) 7.84164i 0.860732i −0.902655 0.430366i \(-0.858385\pi\)
0.902655 0.430366i \(-0.141615\pi\)
\(84\) −0.685538 + 3.11213i −0.0747983 + 0.339561i
\(85\) 2.45317 4.24902i 0.266084 0.460871i
\(86\) −6.64871 4.86814i −0.716949 0.524945i
\(87\) 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 \(0.786863\pi\)
\(90\) 2.51754 + 5.71110i 0.265372 + 0.602003i
\(91\) −1.53758 + 2.66316i −0.161182 + 0.279175i
\(92\) −16.7749 + 5.31401i −1.74891 + 0.554024i
\(93\) 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 \(0.166882\pi\)
\(98\) −3.10116 7.03503i −0.313264 0.710646i
\(99\) −2.51603 1.45263i −0.252871 0.145995i
\(100\) −3.19064 10.0720i −0.319064 1.00720i
\(101\) −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 \(-0.508260\pi\)
−0.0259468 + 0.999663i \(0.508260\pi\)
\(104\) 4.59687 + 5.22038i 0.450760 + 0.511900i
\(105\) −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 \(-0.608493\pi\)
−0.334280 + 0.942474i \(0.608493\pi\)
\(108\) 7.52373 8.23298i 0.723971 0.792219i
\(109\) −10.4902 + 6.05651i −1.00478 + 0.580109i −0.909658 0.415357i \(-0.863657\pi\)
−0.0951195 + 0.995466i \(0.530323\pi\)
\(110\) 7.72379 + 5.65531i 0.736434 + 0.539212i
\(111\) 11.0088 6.35593i 1.04491 0.603278i
\(112\) 4.98153 0.449376i 0.470711 0.0424621i
\(113\) 4.95424i 0.466056i −0.972470 0.233028i \(-0.925137\pi\)
0.972470 0.233028i \(-0.0748633\pi\)
\(114\) −0.807618 + 7.81335i −0.0756403 + 0.731787i
\(115\) 28.2130i 2.63087i
\(116\) 11.4688 3.63313i 1.06485 0.337327i
\(117\) 2.93121 1.69233i 0.270990 0.156456i
\(118\) 4.73779 6.47067i 0.436149 0.595674i
\(119\) −1.65691 + 0.956619i −0.151889 + 0.0876931i
\(120\) −8.67368 + 7.63773i −0.791795 + 0.697226i
\(121\) 6.54398 0.594907
\(122\) −7.90118 0.859926i −0.715339 0.0778541i
\(123\) −1.39466 0.805207i −0.125752 0.0726030i
\(124\) 10.5095 11.5002i 0.943779 1.03275i
\(125\) 0.906349 0.0810663
\(126\) 0.263331 2.41954i 0.0234594 0.215550i
\(127\) −2.86262 + 4.95820i −0.254016 + 0.439969i −0.964628 0.263616i \(-0.915085\pi\)
0.710612 + 0.703584i \(0.248418\pi\)
\(128\) 2.63718 11.0021i 0.233096 0.972454i
\(129\) −6.43009 3.71241i −0.566138 0.326860i
\(130\) −10.2050 + 4.49851i −0.895034 + 0.394545i
\(131\) −16.1689 + 9.33512i −1.41268 + 0.815613i −0.995640 0.0932738i \(-0.970267\pi\)
−0.417043 + 0.908887i \(0.636933\pi\)
\(132\) 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
\(136\) 0.852869 + 4.24277i 0.0731329 + 0.363814i
\(137\) −9.96622 + 17.2620i −0.851471 + 1.47479i 0.0284092 + 0.999596i \(0.490956\pi\)
−0.879880 + 0.475195i \(0.842377\pi\)
\(138\) −14.5079 + 6.39532i −1.23499 + 0.544406i
\(139\) 9.04013 + 5.21932i 0.766774 + 0.442697i 0.831723 0.555191i \(-0.187355\pi\)
−0.0649485 + 0.997889i \(0.520688\pi\)
\(140\) −1.72516 + 7.83170i −0.145803 + 0.661900i
\(141\) 9.01819i 0.759469i
\(142\) 5.22326 7.13372i 0.438326 0.598648i
\(143\) 2.59566 4.49581i 0.217060 0.375959i
\(144\) −4.99566 2.31312i −0.416305 0.192760i
\(145\) 19.2889i 1.60185i
\(146\) 1.09964 1.50184i 0.0910068 0.124293i
\(147\) −3.46366 5.99923i −0.285677 0.494808i
\(148\) −14.7283 13.4595i −1.21066 1.10636i
\(149\) −4.83307 8.37113i −0.395941 0.685789i 0.597280 0.802033i \(-0.296248\pi\)
−0.993221 + 0.116243i \(0.962915\pi\)
\(150\) −3.83987 8.71083i −0.313524 0.711236i
\(151\) 11.1033 0.903573 0.451787 0.892126i \(-0.350787\pi\)
0.451787 + 0.892126i \(0.350787\pi\)
\(152\) 12.0737 2.49506i 0.979308 0.202376i
\(153\) 2.10581 0.170244
\(154\) −1.50574 3.41579i −0.121336 0.275252i
\(155\) 12.4891 + 21.6317i 1.00315 + 1.73750i
\(156\) 4.62652 + 4.22795i 0.370418 + 0.338507i
\(157\) −5.65983 9.80311i −0.451704 0.782374i 0.546788 0.837271i \(-0.315850\pi\)
−0.998492 + 0.0548972i \(0.982517\pi\)
\(158\) 6.30268 8.60795i 0.501414 0.684811i
\(159\) 9.10762i 0.722281i
\(160\) 15.5394 + 9.35797i 1.22850 + 0.739813i
\(161\) −5.50085 + 9.52774i −0.433527 + 0.750891i
\(162\) 2.48712 3.39680i 0.195406 0.266878i
\(163\) 15.6778i 1.22798i 0.789312 + 0.613992i \(0.210437\pi\)
−0.789312 + 0.613992i \(0.789563\pi\)
\(164\) −0.543750 + 2.46845i −0.0424597 + 0.192754i
\(165\) 7.46982 + 4.31270i 0.581524 + 0.335743i
\(166\) −10.1476 + 4.47321i −0.787603 + 0.347188i
\(167\) 1.80453 3.12555i 0.139639 0.241862i −0.787721 0.616032i \(-0.788739\pi\)
0.927360 + 0.374170i \(0.122072\pi\)
\(168\) 4.41834 0.888162i 0.340882 0.0685232i
\(169\) −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 \(0.396184\pi\)
\(174\) 9.91888 4.37240i 0.751948 0.331471i
\(175\) −5.72065 3.30282i −0.432440 0.249669i
\(176\) −8.40957 + 0.758614i −0.633895 + 0.0571827i
\(177\) 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 \(-0.532917\pi\)
−0.103227 + 0.994658i \(0.532917\pi\)
\(180\) 5.95440 6.51571i 0.443814 0.485652i
\(181\) 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
\(184\) 16.4458 + 18.6765i 1.21240 + 1.37685i
\(185\) 27.7038 15.9948i 2.03682 1.17596i
\(186\) 8.29261 11.3257i 0.608044 0.830441i
\(187\) 2.79711 1.61491i 0.204545 0.118094i
\(188\) 13.4937 4.27457i 0.984128 0.311755i
\(189\) 6.97305i 0.507215i
\(190\) −2.03238 + 19.6624i −0.147444 + 1.42646i
\(191\) 4.38525i 0.317305i −0.987334 0.158653i \(-0.949285\pi\)
0.987334 0.158653i \(-0.0507150\pi\)
\(192\) 1.28966 10.1121i 0.0930732 0.729775i
\(193\) −7.76503 + 4.48314i −0.558939 + 0.322703i −0.752719 0.658341i \(-0.771258\pi\)
0.193781 + 0.981045i \(0.437925\pi\)
\(194\) −11.2248 8.21876i −0.805897 0.590072i
\(195\) −8.70243 + 5.02435i −0.623194 + 0.359801i
\(196\) −7.33473 + 8.02617i −0.523910 + 0.573298i
\(197\) 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 0.508551 0.861032i \(-0.330181\pi\)
−0.491400 + 0.870934i \(0.663515\pi\)
\(200\) −11.2137 + 9.87438i −0.792929 + 0.698224i
\(201\) −0.0601024 −0.00423929
\(202\) 8.81051 + 0.958893i 0.619905 + 0.0674675i
\(203\) 3.76086 6.51400i 0.263961 0.457193i
\(204\) 1.17757 + 3.71726i 0.0824461 + 0.260261i
\(205\) −3.50968 2.02631i −0.245126 0.141524i
\(206\) 0.300431 + 0.681533i 0.0209320 + 0.0474847i
\(207\) 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 0.863146 0.504955i \(-0.168491\pi\)
−0.868877 + 0.495028i \(0.835158\pi\)
\(212\) −13.6275 + 4.31696i −0.935940 + 0.296490i
\(213\) 3.98323 6.89915i 0.272926 0.472722i
\(214\) 3.94498 + 8.94926i 0.269673 + 0.611759i
\(215\) −16.1814 9.34234i −1.10356 0.637142i
\(216\) −14.9458 5.03972i −1.01694 0.342909i
\(217\) 9.74027i 0.661212i
\(218\) 13.8216 + 10.1201i 0.936114 + 0.685417i
\(219\) 0.838578 1.45246i 0.0566659 0.0981481i
\(220\) 2.91233 13.2211i 0.196350 0.891365i
\(221\) 3.76279i 0.253113i
\(222\) −14.5048 10.6204i −0.973502 0.712792i
\(223\) −5.86577 10.1598i −0.392801 0.680352i 0.600017 0.799987i \(-0.295161\pi\)
−0.992818 + 0.119636i \(0.961827\pi\)
\(224\) −3.42320 6.19007i −0.228722 0.413591i
\(225\) 3.63525 + 6.29643i 0.242350 + 0.419762i
\(226\) −6.41109 + 2.82611i −0.426459 + 0.187990i
\(227\) −8.78264 −0.582924 −0.291462 0.956582i \(-0.594142\pi\)
−0.291462 + 0.956582i \(0.594142\pi\)
\(228\) 10.5717 3.41196i 0.700125 0.225963i
\(229\) −6.53352 −0.431747 −0.215874 0.976421i \(-0.569260\pi\)
−0.215874 + 0.976421i \(0.569260\pi\)
\(230\) −36.5093 + 16.0939i −2.40735 + 1.06120i
\(231\) −1.68174 2.91286i −0.110651 0.191652i
\(232\) −11.2438 12.7689i −0.738191 0.838317i
\(233\) 13.1315 + 22.7444i 0.860274 + 1.49004i 0.871664 + 0.490103i \(0.163041\pi\)
−0.0113904 + 0.999935i \(0.503626\pi\)
\(234\) −3.86207 2.82779i −0.252472 0.184858i
\(235\) 22.6944i 1.48042i
\(236\) −11.0761 2.43984i −0.720992 0.158820i
\(237\) 4.80638 8.32490i 0.312208 0.540761i
\(238\) 2.18310 + 1.59845i 0.141509 + 0.103612i
\(239\) 23.5704i 1.52464i −0.647198 0.762322i \(-0.724059\pi\)
0.647198 0.762322i \(-0.275941\pi\)
\(240\) 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 \(0.834974\pi\)
\(242\) −3.73297 8.46831i −0.239964 0.544364i
\(243\) −6.46806 + 11.2030i −0.414926 + 0.718673i
\(244\) 3.39438 + 10.7152i 0.217303 + 0.685967i
\(245\) −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
\(250\) −0.517020 1.17287i −0.0326992 0.0741789i
\(251\) 22.1575 + 12.7926i 1.39857 + 0.807463i 0.994243 0.107153i \(-0.0341735\pi\)
0.404324 + 0.914616i \(0.367507\pi\)
\(252\) −3.28125 + 1.03944i −0.206699 + 0.0654788i
\(253\) 9.28625 16.0842i 0.583821 1.01121i
\(254\) 8.04917 + 0.876033i 0.505050 + 0.0549672i
\(255\) −6.25189 −0.391509
\(256\) −15.7417 + 2.86337i −0.983856 + 0.178961i
\(257\) 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
\(260\) 11.6427 + 10.6397i 0.722049 + 0.659846i
\(261\) −7.16964 + 4.13939i −0.443790 + 0.256222i
\(262\) 21.3037 + 15.5984i 1.31614 + 0.963672i
\(263\) 3.14828 1.81766i 0.194131 0.112082i −0.399784 0.916609i \(-0.630915\pi\)
0.593915 + 0.804528i \(0.297581\pi\)
\(264\) −7.45882 + 1.49935i −0.459058 + 0.0922786i
\(265\) 22.9194i 1.40793i
\(266\) 4.52004 6.24388i 0.277141 0.382837i
\(267\) 8.86441i 0.542493i
\(268\) 0.0284881 + 0.0899296i 0.00174019 + 0.00549332i
\(269\) 15.9194 9.19106i 0.970622 0.560389i 0.0711964 0.997462i \(-0.477318\pi\)
0.899426 + 0.437073i \(0.143985\pi\)
\(270\) 14.9397 20.4041i 0.909203 1.24175i
\(271\) 16.7304 9.65930i 1.01630 0.586761i 0.103269 0.994653i \(-0.467070\pi\)
0.913030 + 0.407893i \(0.133736\pi\)
\(272\) 5.00389 3.52392i 0.303405 0.213669i
\(273\) 3.91850 0.237159
\(274\) 28.0232 + 3.04991i 1.69295 + 0.184252i
\(275\) 9.65730 + 5.57564i 0.582357 + 0.336224i
\(276\) 16.5519 + 15.1260i 0.996305 + 0.910476i
\(277\) −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
\(280\) 11.1188 2.23507i 0.664476 0.133571i
\(281\) 3.45491 + 1.99469i 0.206103 + 0.118993i 0.599499 0.800376i \(-0.295367\pi\)
−0.393396 + 0.919369i \(0.628700\pi\)
\(282\) 11.6701 5.14437i 0.694944 0.306342i
\(283\) −12.8457 + 7.41645i −0.763596 + 0.440862i −0.830585 0.556892i \(-0.811994\pi\)
0.0669896 + 0.997754i \(0.478661\pi\)
\(284\) −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
\(288\) −0.143584 + 7.78419i −0.00846078 + 0.458688i
\(289\) 7.32947 12.6950i 0.431145 0.746766i
\(290\) 24.9610 11.0032i 1.46576 0.646130i
\(291\) −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 \(0.765631\pi\)
\(294\) −5.78755 + 7.90440i −0.337537 + 0.460994i
\(295\) 9.09217 15.7481i 0.529367 0.916890i
\(296\) −9.01575 + 26.7372i −0.524030 + 1.55407i
\(297\) 11.7715i 0.683055i
\(298\) −8.07576 + 11.0295i −0.467816 + 0.638924i
\(299\) 10.8186 + 18.7383i 0.625655 + 1.08367i
\(300\) −9.08192 + 9.93807i −0.524345 + 0.573774i
\(301\) 3.64306 + 6.30996i 0.209982 + 0.363700i
\(302\) −6.33380 14.3683i −0.364469 0.826805i
\(303\) 7.98539 0.458749
\(304\) −10.1161 14.2008i −0.580200 0.814474i
\(305\) −18.0213 −1.03190
\(306\) −1.20124 2.72504i −0.0686704 0.155780i
\(307\) −10.3144 17.8650i −0.588673 1.01961i −0.994407 0.105620i \(-0.966317\pi\)
0.405734 0.913991i \(-0.367016\pi\)
\(308\) −3.56131 + 3.89703i −0.202924 + 0.222054i
\(309\) 0.335549 + 0.581187i 0.0190887 + 0.0330626i
\(310\) 20.8685 28.5013i 1.18525 1.61876i
\(311\) 3.16368i 0.179396i −0.995969 0.0896978i \(-0.971410\pi\)
0.995969 0.0896978i \(-0.0285901\pi\)
\(312\) 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 \(0.309441\pi\)
\(314\) −9.45722 + 12.9163i −0.533702 + 0.728908i
\(315\) 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 \(0.690223\pi\)
\(318\) −11.7858 + 5.19538i −0.660916 + 0.291342i
\(319\) −6.34889 + 10.9966i −0.355470 + 0.615692i
\(320\) 3.24545 25.4471i 0.181426 1.42254i
\(321\) 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
\(326\) 20.2881 8.94332i 1.12365 0.495324i
\(327\) 13.3671 + 7.71749i 0.739201 + 0.426778i
\(328\) 3.50451 0.704466i 0.193504 0.0388977i
\(329\) 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 \(-0.582353\pi\)
−0.255843 + 0.966718i \(0.582353\pi\)
\(332\) 11.5772 + 10.5799i 0.635382 + 0.580645i
\(333\) 11.8905 + 6.86496i 0.651593 + 0.376198i
\(334\) −5.07403 0.552233i −0.277639 0.0302168i
\(335\) −0.151248 −0.00826358
\(336\) −3.66975 5.21096i −0.200201 0.284281i
\(337\) −3.28961 + 1.89926i −0.179196 + 0.103459i −0.586915 0.809648i \(-0.699658\pi\)
0.407719 + 0.913108i \(0.366324\pi\)
\(338\) −5.80822 + 7.93263i −0.315926 + 0.431478i
\(339\) −5.46715 + 3.15646i −0.296935 + 0.171435i
\(340\) 2.96336 + 9.35455i 0.160711 + 0.507321i
\(341\) 16.4430i 0.890439i
\(342\) −7.74463 + 3.46412i −0.418782 + 0.187318i
\(343\) 15.5510i 0.839674i
\(344\) 16.1576 3.24795i 0.871158 0.175118i
\(345\) −31.1339 + 17.9751i −1.67619 + 0.967749i
\(346\) 5.88830 + 4.31137i 0.316557 + 0.231781i
\(347\) 3.07657 1.77626i 0.165159 0.0953546i −0.415142 0.909757i \(-0.636268\pi\)
0.580301 + 0.814402i \(0.302935\pi\)
\(348\) −11.3163 10.3414i −0.606618 0.554359i
\(349\) −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
\(352\) 5.77887 + 10.4498i 0.308015 + 0.556974i
\(353\) −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
\(356\) 13.2636 4.20167i 0.702968 0.222688i
\(357\) 2.11131 + 1.21897i 0.111743 + 0.0645146i
\(358\) 1.57566 + 3.57441i 0.0832760 + 0.188913i
\(359\) 7.25210 4.18700i 0.382751 0.220982i −0.296263 0.955106i \(-0.595741\pi\)
0.679015 + 0.734125i \(0.262407\pi\)
\(360\) −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
\(364\) −1.85735 5.86315i −0.0973514 0.307313i
\(365\) 2.11029 3.65513i 0.110458 0.191318i
\(366\) 4.08507 + 9.26706i 0.213530 + 0.484397i
\(367\) 19.7381 + 11.3958i 1.03032 + 0.594857i 0.917077 0.398710i \(-0.130542\pi\)
0.113246 + 0.993567i \(0.463875\pi\)
\(368\) 14.7871 31.9357i 0.770830 1.66477i
\(369\) 1.73939i 0.0905489i
\(370\) −36.5016 26.7263i −1.89763 1.38943i
\(371\) −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 \(-0.208881\pi\)
\(374\) −3.68539 2.69842i −0.190567 0.139532i
\(375\) −0.577455 1.00018i −0.0298197 0.0516492i
\(376\) −13.2289 15.0233i −0.682230 0.774766i
\(377\) −7.39654 12.8112i −0.380941 0.659809i
\(378\) −9.02356 + 3.97773i −0.464122 + 0.204592i
\(379\) −38.1884 −1.96161 −0.980804 0.194995i \(-0.937531\pi\)
−0.980804 + 0.194995i \(0.937531\pi\)
\(380\) 26.6037 8.58625i 1.36474 0.440465i
\(381\) 7.29535 0.373752
\(382\) −5.67478 + 2.50153i −0.290347 + 0.127990i
\(383\) −10.8906 18.8631i −0.556483 0.963857i −0.997786 0.0664990i \(-0.978817\pi\)
0.441303 0.897358i \(-0.354516\pi\)
\(384\) −13.8213 + 4.09945i −0.705315 + 0.209199i
\(385\) −4.23213 7.33026i −0.215689 0.373585i
\(386\) 10.2310 + 7.49104i 0.520742 + 0.381284i
\(387\) 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 \(0.927305\pi\)
\(390\) 11.4661 + 8.39537i 0.580606 + 0.425116i
\(391\) 13.4618i 0.680792i
\(392\) 14.5704 + 4.91312i 0.735917 + 0.248150i
\(393\) 20.6032 + 11.8952i 1.03929 + 0.600035i
\(394\) −0.794162 1.80157i −0.0400093 0.0907619i
\(395\) 12.0953 20.9497i 0.608582 1.05410i
\(396\) 5.53924 1.75474i 0.278357 0.0881788i
\(397\) 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 \(0.294976\pi\)
\(402\) 0.0342850 + 0.0777761i 0.00170998 + 0.00387912i
\(403\) −16.5899 9.57816i −0.826400 0.477122i
\(404\) −3.78503 11.9483i −0.188312 0.594452i
\(405\) 4.77297 8.26703i 0.237171 0.410792i
\(406\) −10.5749 1.15092i −0.524822 0.0571191i
\(407\) 21.0586 1.04384
\(408\) 4.13863 3.64433i 0.204893 0.180421i
\(409\) 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
\(412\) 0.710568 0.777552i 0.0350071 0.0383072i
\(413\) −6.14100 + 3.54551i −0.302179 + 0.174463i
\(414\) −13.8170 10.1167i −0.679067 0.497209i
\(415\) −21.7766 + 12.5727i −1.06897 + 0.617171i
\(416\) −13.9093 0.256566i −0.681959 0.0125792i
\(417\) 13.3014i 0.651373i
\(418\) −7.63050 + 10.5406i −0.373220 + 0.515558i
\(419\) 31.5299i 1.54034i 0.637840 + 0.770169i \(0.279828\pi\)
−0.637840 + 0.770169i \(0.720172\pi\)
\(420\) 9.74166 3.08599i 0.475344 0.150581i
\(421\) 23.2374 13.4161i 1.13252 0.653862i 0.187954 0.982178i \(-0.439814\pi\)
0.944568 + 0.328316i \(0.106481\pi\)
\(422\) −0.139107 + 0.189987i −0.00677163 + 0.00924841i
\(423\) −8.43547 + 4.87022i −0.410147 + 0.236798i
\(424\) 13.3601 + 15.1722i 0.648825 + 0.736829i
\(425\) −8.08272 −0.392069
\(426\) −11.2001 1.21897i −0.542648 0.0590592i
\(427\) 6.08594 + 3.51372i 0.294519 + 0.170041i
\(428\) 9.33051 10.2101i 0.451007 0.493523i
\(429\) −6.61502 −0.319376
\(430\) −2.85899 + 26.2690i −0.137873 + 1.26680i
\(431\) −3.89128 + 6.73989i −0.187436 + 0.324649i −0.944395 0.328814i \(-0.893351\pi\)
0.756958 + 0.653463i \(0.226684\pi\)
\(432\) 2.00404 + 22.2157i 0.0964196 + 1.06885i
\(433\) −13.2846 7.66988i −0.638418 0.368591i 0.145587 0.989345i \(-0.453493\pi\)
−0.784005 + 0.620755i \(0.786826\pi\)
\(434\) −12.6045 + 5.55627i −0.605036 + 0.266709i
\(435\) 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 \(-0.961007\pi\)
0.390429 0.920633i \(-0.372327\pi\)
\(440\) −18.7702 + 3.77313i −0.894835 + 0.179877i
\(441\) 3.74105 6.47969i 0.178145 0.308557i
\(442\) 4.86928 2.14646i 0.231608 0.102097i
\(443\) −2.05095 1.18412i −0.0974435 0.0562590i 0.450486 0.892783i \(-0.351251\pi\)
−0.547930 + 0.836524i \(0.684584\pi\)
\(444\) −5.46920 + 24.8285i −0.259557 + 1.17831i
\(445\) 22.3074i 1.05747i
\(446\) −9.80134 + 13.3863i −0.464107 + 0.633858i
\(447\) −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 \(-0.0888587\pi\)
\(450\) 6.07427 8.29599i 0.286344 0.391077i
\(451\) −1.33391 2.31041i −0.0628115 0.108793i
\(452\) 7.31432 + 6.68421i 0.344037 + 0.314399i
\(453\) −7.07416 12.2528i −0.332373 0.575687i
\(454\) 5.00999 + 11.3653i 0.235131 + 0.533399i
\(455\) 9.86096 0.462289
\(456\) −10.4458 11.7340i −0.489170 0.549497i
\(457\) −8.71735 −0.407781 −0.203890 0.978994i \(-0.565359\pi\)
−0.203890 + 0.978994i \(0.565359\pi\)
\(458\) 3.72700 + 8.45477i 0.174151 + 0.395066i
\(459\) −4.26615 7.38919i −0.199127 0.344898i
\(460\) 41.6530 + 38.0647i 1.94208 + 1.77477i
\(461\) −10.5590 18.2887i −0.491781 0.851789i 0.508174 0.861254i \(-0.330321\pi\)
−0.999955 + 0.00946495i \(0.996987\pi\)
\(462\) −2.81009 + 3.83790i −0.130737 + 0.178555i
\(463\) 0.355651i 0.0165285i 0.999966 + 0.00826426i \(0.00263062\pi\)
−0.999966 + 0.00826426i \(0.997369\pi\)
\(464\) −10.1098 + 21.8341i −0.469334 + 1.01362i
\(465\) 15.9142 27.5641i 0.738001 1.27826i
\(466\) 21.9419 29.9674i 1.01644 1.38821i
\(467\) 4.47951i 0.207287i 0.994615 + 0.103643i \(0.0330501\pi\)
−0.994615 + 0.103643i \(0.966950\pi\)
\(468\) −1.45624 + 6.61085i −0.0673145 + 0.305587i
\(469\) 0.0510778 + 0.0294898i 0.00235855 + 0.00136171i
\(470\) 29.3679 12.9459i 1.35464 0.597148i
\(471\) −7.21202 + 12.4916i −0.332312 + 0.575582i
\(472\) 3.16098 + 15.7249i 0.145496 + 0.723798i
\(473\) −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
\(478\) −30.5016 + 13.4456i −1.39511 + 0.614987i
\(479\) −21.4965 12.4110i −0.982199 0.567073i −0.0792655 0.996854i \(-0.525257\pi\)
−0.902933 + 0.429781i \(0.858591\pi\)
\(480\) 0.426285 23.1104i 0.0194572 1.05484i
\(481\) −12.2668 + 21.2466i −0.559316 + 0.968764i
\(482\) −2.39657 + 22.0202i −0.109161 + 1.00299i
\(483\) 14.0189 0.637880
\(484\) −8.82907 + 9.66138i −0.401321 + 0.439154i
\(485\) −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 \(-0.193739\pi\)
0.820420 + 0.571761i \(0.193739\pi\)
\(488\) 11.9298 10.5049i 0.540035 0.475535i
\(489\) 17.3010 9.98871i 0.782376 0.451705i
\(490\) −14.5644 + 19.8915i −0.657955 + 0.898607i
\(491\) −5.16077 + 2.97957i −0.232902 + 0.134466i −0.611910 0.790927i \(-0.709599\pi\)
0.379008 + 0.925393i \(0.376265\pi\)
\(492\) 3.07045 0.972665i 0.138426 0.0438511i
\(493\) 9.20366i 0.414512i
\(494\) −6.18992 13.8386i −0.278497 0.622628i
\(495\) 9.31619i 0.418732i
\(496\) 2.79934 + 31.0319i 0.125694 + 1.39337i
\(497\) −6.77026 + 3.90881i −0.303688 + 0.175334i
\(498\) 11.4016 + 8.34815i 0.510916 + 0.374089i
\(499\) 20.1581 11.6383i 0.902402 0.521002i 0.0244234 0.999702i \(-0.492225\pi\)
0.877979 + 0.478700i \(0.158892\pi\)
\(500\) −1.22284 + 1.33811i −0.0546869 + 0.0598422i
\(501\) −4.59884 −0.205461
\(502\) 3.91486 35.9706i 0.174729 1.60545i
\(503\) −16.4493 9.49702i −0.733439 0.423451i 0.0862401 0.996274i \(-0.472515\pi\)
−0.819679 + 0.572823i \(0.805848\pi\)
\(504\) 3.21687 + 3.65320i 0.143291 + 0.162726i
\(505\) 20.0953 0.894231
\(506\) −26.1113 2.84183i −1.16079 0.126335i
\(507\) −4.42931 + 7.67179i −0.196713 + 0.340716i
\(508\) −3.45795 10.9158i −0.153422 0.484312i
\(509\) 11.3577 + 6.55740i 0.503423 + 0.290652i 0.730126 0.683312i \(-0.239461\pi\)
−0.226703 + 0.973964i \(0.572795\pi\)
\(510\) 3.56635 + 8.09034i 0.157921 + 0.358246i
\(511\) −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
\(516\) 14.1563 4.48448i 0.623198 0.197418i
\(517\) −7.46982 + 12.9381i −0.328522 + 0.569017i
\(518\) 7.11592 + 16.1426i 0.312655 + 0.709265i
\(519\) 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 \(-0.183884\pi\)
\(522\) 9.44650 + 6.91667i 0.413462 + 0.302734i
\(523\) −15.1705 + 26.2761i −0.663359 + 1.14897i 0.316368 + 0.948636i \(0.397536\pi\)
−0.979727 + 0.200335i \(0.935797\pi\)
\(524\) 8.03276 36.4662i 0.350913 1.59303i
\(525\) 8.41720i 0.367357i
\(526\) −4.14808 3.03720i −0.180865 0.132428i
\(527\) −5.95915 10.3215i −0.259584 0.449613i
\(528\) 6.19508 + 8.79687i 0.269606 + 0.382835i
\(529\) 27.2047 + 47.1198i 1.18281 + 2.04869i
\(530\) −29.6592 + 13.0742i −1.28831 + 0.567909i
\(531\) 7.80473 0.338696
\(532\) −10.6584 2.28743i −0.462100 0.0991727i
\(533\) 3.10805 0.134625
\(534\) 11.4711 5.05664i 0.496403 0.218822i
\(535\) 11.0880 + 19.2051i 0.479378 + 0.830307i
\(536\) 0.100124 0.0881651i 0.00432468 0.00380815i
\(537\) 1.75984 + 3.04813i 0.0759425 + 0.131536i
\(538\) −20.9749 15.3577i −0.904292 0.662117i
\(539\) 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 \(-0.00898124\pi\)
\(542\) −22.0435 16.1401i −0.946848 0.693276i
\(543\) 3.05854i 0.131255i
\(544\) −7.41460 4.46514i −0.317898 0.191441i
\(545\) 33.6384 + 19.4212i 1.44091 + 0.831911i
\(546\) −2.23528 5.07078i −0.0956612 0.217009i
\(547\) 18.7226 32.4286i 0.800522 1.38655i −0.118751 0.992924i \(-0.537889\pi\)
0.919273 0.393621i \(-0.128778\pi\)
\(548\) −12.0389 38.0036i −0.514276 1.62343i
\(549\) −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
\(554\) 9.44545 + 21.4272i 0.401299 + 0.910354i
\(555\) −35.3014 20.3813i −1.49846 0.865137i
\(556\) −19.9025 + 6.30478i −0.844056 + 0.267382i
\(557\) −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
\(560\) −9.23497 13.1134i −0.390249 0.554144i
\(561\) −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 \(-0.321357\pi\)
0.532222 + 0.846605i \(0.321357\pi\)
\(564\) −13.3142 12.1673i −0.560631 0.512334i
\(565\) −13.7582 + 7.94327i −0.578810 + 0.334176i
\(566\) 16.9251 + 12.3924i 0.711413 + 0.520892i
\(567\) −3.22374 + 1.86123i −0.135384 + 0.0781641i
\(568\) 3.48488 + 17.3362i 0.146222 + 0.727412i
\(569\) 46.3413i 1.94273i 0.237599 + 0.971363i \(0.423639\pi\)
−0.237599 + 0.971363i \(0.576361\pi\)
\(570\) 22.9929 10.2846i 0.963067 0.430773i
\(571\) 32.1609i 1.34589i −0.739692 0.672946i \(-0.765029\pi\)
0.739692 0.672946i \(-0.234971\pi\)
\(572\) 3.13548 + 9.89787i 0.131101 + 0.413851i
\(573\) −4.83925 + 2.79394i −0.202163 + 0.116719i
\(574\) 1.32031 1.80323i 0.0551088 0.0752654i
\(575\) −40.2512 + 23.2390i −1.67859 + 0.969135i
\(576\) 10.1551 4.25463i 0.423130 0.177276i
\(577\) −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
\(580\) −28.4776 26.0244i −1.18247 1.08060i
\(581\) 9.80550 0.406801
\(582\) −1.91803 + 17.6233i −0.0795051 + 0.730509i
\(583\) 7.54389 13.0664i 0.312436 0.541155i
\(584\) 0.733663 + 3.64975i 0.0303592 + 0.151028i
\(585\) −9.39938 5.42674i −0.388617 0.224368i
\(586\) 29.7505 13.1145i 1.22898 0.541755i
\(587\) 15.4560 8.92352i 0.637937 0.368313i −0.145883 0.989302i \(-0.546602\pi\)
0.783819 + 0.620989i \(0.213269\pi\)
\(588\) 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
\(592\) 39.7426 3.58511i 1.63341 0.147347i
\(593\) 11.7249 20.3082i 0.481485 0.833957i −0.518289 0.855205i \(-0.673431\pi\)
0.999774 + 0.0212488i \(0.00676420\pi\)
\(594\) 15.2331 6.71500i 0.625022 0.275520i
\(595\) 5.31315 + 3.06755i 0.217818 + 0.125757i
\(596\) 18.8797 + 4.15880i 0.773341 + 0.170351i
\(597\) 0.356008i 0.0145704i
\(598\) 18.0772 24.6891i 0.739231 1.00961i
\(599\) −7.40584 + 12.8273i −0.302595 + 0.524109i −0.976723 0.214505i \(-0.931186\pi\)
0.674128 + 0.738614i \(0.264519\pi\)
\(600\) 18.0412 + 6.08346i 0.736528 + 0.248356i
\(601\) 4.30046i 0.175419i 0.996146 + 0.0877097i \(0.0279548\pi\)
−0.996146 + 0.0877097i \(0.972045\pi\)
\(602\) 6.08732 8.31381i 0.248101 0.338846i
\(603\) −0.0324579 0.0562188i −0.00132179 0.00228940i
\(604\) −14.9805 + 16.3926i −0.609546 + 0.667007i
\(605\) −10.4921 18.1729i −0.426566 0.738835i
\(606\) −4.55521 10.3336i −0.185043 0.419773i
\(607\) −20.1844 −0.819260 −0.409630 0.912252i \(-0.634342\pi\)
−0.409630 + 0.912252i \(0.634342\pi\)
\(608\) −12.6061 + 21.1917i −0.511244 + 0.859435i
\(609\) −9.58452 −0.388385
\(610\) 10.2801 + 23.3207i 0.416230 + 0.944227i
\(611\) −8.70243 15.0730i −0.352062 0.609790i
\(612\) −2.84113 + 3.10896i −0.114846 + 0.125672i
\(613\) 0.467103 + 0.809046i 0.0188661 + 0.0326771i 0.875304 0.483572i \(-0.160661\pi\)
−0.856438 + 0.516250i \(0.827328\pi\)
\(614\) −17.2347 + 23.5384i −0.695535 + 0.949933i
\(615\) 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 \(0.219620\pi\)
\(618\) 0.560681 0.765755i 0.0225539 0.0308032i
\(619\) 7.04730i 0.283255i 0.989920 + 0.141627i \(0.0452335\pi\)
−0.989920 + 0.141627i \(0.954766\pi\)
\(620\) −48.7867 10.7467i −1.95932 0.431598i
\(621\) −42.4901 24.5316i −1.70507 0.984421i
\(622\) −4.09399 + 1.80470i −0.164154 + 0.0723618i
\(623\) 4.34940 7.53338i 0.174255 0.301819i
\(624\) −12.4841 + 1.12617i −0.499764 + 0.0450829i
\(625\) 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
\(630\) −7.14139 + 3.14804i −0.284520 + 0.125421i
\(631\) −17.5204 10.1154i −0.697476 0.402688i 0.108931 0.994049i \(-0.465257\pi\)
−0.806407 + 0.591362i \(0.798591\pi\)
\(632\) 4.20505 + 20.9189i 0.167268 + 0.832108i
\(633\) −0.106082 + 0.183740i −0.00421639 + 0.00730300i
\(634\) −0.402851 + 3.70148i −0.0159992 + 0.147004i
\(635\) 18.3589 0.728549
\(636\) 13.4463 + 12.2879i 0.533180 + 0.487247i
\(637\) 11.5783 + 6.68475i 0.458750 + 0.264860i
\(638\) 17.8520 + 1.94292i 0.706766 + 0.0769210i
\(639\) 8.60447 0.340387
\(640\) −34.7815 + 10.3163i −1.37486 + 0.407789i
\(641\) −6.91570 + 3.99278i −0.273154 + 0.157705i −0.630320 0.776335i \(-0.717076\pi\)
0.357166 + 0.934041i \(0.383743\pi\)
\(642\) 7.36234 10.0552i 0.290568 0.396846i
\(643\) 9.89926 5.71534i 0.390389 0.225391i −0.291940 0.956437i \(-0.594301\pi\)
0.682328 + 0.731046i \(0.260967\pi\)
\(644\) −6.64485 20.9761i −0.261844 0.826572i
\(645\) 23.8089i 0.937473i
\(646\) 0.969747 9.38188i 0.0381542 0.369125i
\(647\) 48.3776i 1.90192i 0.309312 + 0.950961i \(0.399901\pi\)
−0.309312 + 0.950961i \(0.600099\pi\)
\(648\) 1.65937 + 8.25485i 0.0651861 + 0.324281i
\(649\) 10.3669 5.98534i 0.406937 0.234945i
\(650\) 14.8238 + 10.8539i 0.581438 + 0.425725i
\(651\) −10.7487 + 6.20575i −0.421274 + 0.243222i
\(652\) −23.1464 21.1524i −0.906483 0.828391i
\(653\) 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
\(656\) −2.91075 4.13319i −0.113646 0.161374i
\(657\) 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 \(0.343094\pi\)
−0.999530 + 0.0306595i \(0.990239\pi\)
\(660\) −16.4454 + 5.20961i −0.640135 + 0.202784i
\(661\) 23.1686 + 13.3764i 0.901155 + 0.520282i 0.877575 0.479440i \(-0.159160\pi\)
0.0235802 + 0.999722i \(0.492493\pi\)
\(662\) 5.31042 + 12.0468i 0.206396 + 0.468212i
\(663\) 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
\(668\) 2.17982 + 6.88113i 0.0843398 + 0.266239i
\(669\) −7.47444 + 12.9461i −0.288978 + 0.500525i
\(670\) 0.0862786 + 0.195725i 0.00333323 + 0.00756150i
\(671\) −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 \(-0.192812\pi\)
\(674\) 4.33429 + 3.17354i 0.166951 + 0.122240i
\(675\) 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 \(-0.0973498\pi\)
\(678\) 7.20335 + 5.27425i 0.276643 + 0.202556i
\(679\) 6.15048 + 10.6529i 0.236034 + 0.408822i
\(680\) 10.4149 9.17100i 0.399394 0.351692i
\(681\) 5.59562 + 9.69190i 0.214425 + 0.371394i
\(682\) 21.2783 9.37980i 0.814787 0.359171i
\(683\) 29.7127 1.13693 0.568463 0.822709i \(-0.307538\pi\)
0.568463 + 0.822709i \(0.307538\pi\)
\(684\) 8.90065 + 8.04594i 0.340325 + 0.307644i
\(685\) 63.9165 2.44212
\(686\) 20.1239 8.87094i 0.768335 0.338694i
\(687\) 4.16265 + 7.20993i 0.158815 + 0.275076i
\(688\) −13.4200 19.0561i −0.511634 0.726508i
\(689\) 8.78872 + 15.2225i 0.334824 + 0.579932i
\(690\) 41.0210 + 30.0353i 1.56164 + 1.14343i
\(691\) 32.8555i 1.24988i 0.780671 + 0.624942i \(0.214877\pi\)
−0.780671 + 0.624942i \(0.785123\pi\)
\(692\) 2.22024 10.0792i 0.0844010 0.383154i
\(693\) 1.81643 3.14615i 0.0690005 0.119512i
\(694\) −4.05360 2.96802i −0.153872 0.112664i
\(695\) 33.4732i 1.26971i
\(696\) −6.92714 + 20.5432i −0.262573 + 0.778688i
\(697\) 1.67464 + 0.966852i 0.0634314 + 0.0366221i
\(698\) 1.09440 + 2.48266i 0.0414235 + 0.0939701i
\(699\) 16.7328 28.9820i 0.632892 1.09620i
\(700\) 12.5944 3.98970i 0.476025 0.150796i
\(701\) −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
\(706\) 4.06066 + 9.21169i 0.152825 + 0.346686i
\(707\) −6.78635 3.91810i −0.255227 0.147355i
\(708\) 4.36440 + 13.7773i 0.164024 + 0.517781i
\(709\) 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
\(712\) −13.0033 14.7671i −0.487321 0.553419i
\(713\) −59.3520 34.2669i −2.22275 1.28330i
\(714\) 0.373035 3.42752i 0.0139605 0.128272i
\(715\) −16.6468 −0.622554
\(716\) 3.72668 4.07799i 0.139273 0.152402i
\(717\) −26.0107 + 15.0173i −0.971386 + 0.560830i
\(718\) −9.55515 6.99622i −0.356595 0.261097i
\(719\) −23.4325 + 13.5288i −0.873886 + 0.504538i −0.868638 0.495448i \(-0.835004\pi\)
−0.00524853 + 0.999986i \(0.501671\pi\)
\(720\) 1.58603 + 17.5819i 0.0591079 + 0.655237i
\(721\) 0.658560i 0.0245260i
\(722\) −26.7422 2.61802i −0.995242 0.0974327i
\(723\) 19.9580i 0.742245i
\(724\) −4.57642 + 1.44973i −0.170081 + 0.0538788i
\(725\) 27.5193 15.8882i 1.02204 0.590075i
\(726\) −6.96667 + 9.51479i −0.258557 + 0.353127i
\(727\) −23.9684 + 13.8381i −0.888938 + 0.513229i −0.873595 0.486654i \(-0.838217\pi\)
−0.0153429 + 0.999882i \(0.504884\pi\)
\(728\) −6.52777 + 5.74811i −0.241935 + 0.213039i
\(729\) 25.4145 0.941279
\(730\) −5.93377 0.645803i −0.219619 0.0239022i
\(731\) 7.72093 + 4.45768i 0.285569 + 0.164873i
\(732\) 9.66185 10.5727i 0.357112 0.390777i
\(733\) −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
\(736\) −49.7620 0.917891i −1.83425 0.0338339i
\(737\) −0.0862268 0.0497831i −0.00317621 0.00183378i
\(738\) −2.25087 + 0.992221i −0.0828558 + 0.0365242i
\(739\) 21.3233 12.3110i 0.784392 0.452869i −0.0535927 0.998563i \(-0.517067\pi\)
0.837984 + 0.545694i \(0.183734\pi\)
\(740\) −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 0.784123 0.620605i \(-0.213113\pi\)
−0.929522 + 0.368768i \(0.879780\pi\)
\(744\) 5.53270 + 27.5235i 0.202839 + 1.00906i
\(745\) −15.4980 + 26.8433i −0.567803 + 0.983463i
\(746\) −30.4971 + 13.4436i −1.11658 + 0.492205i
\(747\) −9.34651 5.39621i −0.341971 0.197437i
\(748\) −1.38962 + 6.30842i −0.0508094 + 0.230659i
\(749\) 8.64759i 0.315976i
\(750\) −0.964892 + 1.31781i −0.0352329 + 0.0481196i
\(751\) −7.13985 + 12.3666i −0.260537 + 0.451263i −0.966385 0.257101i \(-0.917233\pi\)
0.705848 + 0.708363i \(0.250566\pi\)
\(752\) −11.8947 + 25.6890i −0.433754 + 0.936780i
\(753\) 32.6019i 1.18808i
\(754\) −12.3592 + 16.8796i −0.450094 + 0.614720i
\(755\) −17.8022 30.8344i −0.647889 1.12218i
\(756\) 10.2949 + 9.40797i 0.374420 + 0.342165i
\(757\) −17.1966 29.7854i −0.625021 1.08257i −0.988537 0.150981i \(-0.951757\pi\)
0.363515 0.931588i \(-0.381576\pi\)
\(758\) 21.7843 + 49.4182i 0.791242 + 1.79495i
\(759\) −23.6659 −0.859019
\(760\) −26.2870 29.5289i −0.953531 1.07112i
\(761\) −31.6267 −1.14647 −0.573233 0.819392i \(-0.694311\pi\)
−0.573233 + 0.819392i \(0.694311\pi\)
\(762\) −4.16158 9.44064i −0.150758 0.341998i
\(763\) −7.57331 13.1174i −0.274172 0.474880i
\(764\) 6.47428 + 5.91653i 0.234231 + 0.214053i
\(765\) −3.37630 5.84792i −0.122070 0.211432i
\(766\) −18.1975 + 24.8534i −0.657502 + 0.897989i
\(767\) 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 \(0.0271578\pi\)
\(770\) −7.07162 + 9.65813i −0.254844 + 0.348055i
\(771\) 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 \(-0.403770\pi\)