Properties

Label 403.2.k.e.66.17
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.k (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(17\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 66.17
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.860293 + 2.64771i) q^{2} +(-0.871148 + 2.68112i) q^{3} +(-4.65223 + 3.38004i) q^{4} +2.69869 q^{5} -7.84827 q^{6} +(2.17586 - 1.58085i) q^{7} +(-8.44709 - 6.13717i) q^{8} +(-4.00245 - 2.90795i) q^{9} +O(q^{10})\) \(q+(0.860293 + 2.64771i) q^{2} +(-0.871148 + 2.68112i) q^{3} +(-4.65223 + 3.38004i) q^{4} +2.69869 q^{5} -7.84827 q^{6} +(2.17586 - 1.58085i) q^{7} +(-8.44709 - 6.13717i) q^{8} +(-4.00245 - 2.90795i) q^{9} +(2.32167 + 7.14536i) q^{10} +(-2.42170 + 1.75947i) q^{11} +(-5.00951 - 15.4177i) q^{12} +(0.309017 - 0.951057i) q^{13} +(6.05751 + 4.40104i) q^{14} +(-2.35096 + 7.23552i) q^{15} +(5.42848 - 16.7071i) q^{16} +(-0.155750 - 0.113159i) q^{17} +(4.25613 - 13.0990i) q^{18} +(1.41193 + 4.34548i) q^{19} +(-12.5549 + 9.12169i) q^{20} +(2.34296 + 7.21089i) q^{21} +(-6.74194 - 4.89831i) q^{22} +(1.92404 + 1.39790i) q^{23} +(23.8131 - 17.3013i) q^{24} +2.28295 q^{25} +2.78397 q^{26} +(4.44120 - 3.22672i) q^{27} +(-4.77923 + 14.7090i) q^{28} +(1.89225 + 5.82375i) q^{29} -21.1801 q^{30} +(5.29993 + 1.70610i) q^{31} +28.0234 q^{32} +(-2.60769 - 8.02564i) q^{33} +(0.165621 - 0.509729i) q^{34} +(5.87197 - 4.26624i) q^{35} +28.4493 q^{36} -3.66119 q^{37} +(-10.2909 + 7.47676i) q^{38} +(2.28070 + 1.65702i) q^{39} +(-22.7961 - 16.5623i) q^{40} +(-3.51102 - 10.8058i) q^{41} +(-17.0767 + 12.4069i) q^{42} +(2.81861 + 8.67478i) q^{43} +(5.31923 - 16.3709i) q^{44} +(-10.8014 - 7.84767i) q^{45} +(-2.04599 + 6.29690i) q^{46} +(3.04298 - 9.36532i) q^{47} +(40.0648 + 29.1088i) q^{48} +(0.0721375 - 0.222016i) q^{49} +(1.96401 + 6.04459i) q^{50} +(0.439073 - 0.319005i) q^{51} +(1.77699 + 5.46902i) q^{52} +(-0.217167 - 0.157781i) q^{53} +(12.3642 + 8.98308i) q^{54} +(-6.53544 + 4.74827i) q^{55} -28.0816 q^{56} -12.8807 q^{57} +(-13.7917 + 10.0203i) q^{58} +(1.33591 - 4.11152i) q^{59} +(-13.5191 - 41.6076i) q^{60} +2.95269 q^{61} +(0.0422251 + 15.5004i) q^{62} -13.3058 q^{63} +(13.2514 + 40.7835i) q^{64} +(0.833942 - 2.56661i) q^{65} +(19.0062 - 13.8088i) q^{66} -6.25573 q^{67} +1.10706 q^{68} +(-5.42405 + 3.94081i) q^{69} +(16.3474 + 11.8771i) q^{70} +(6.28700 + 4.56777i) q^{71} +(15.9625 + 49.1274i) q^{72} +(5.80924 - 4.22066i) q^{73} +(-3.14969 - 9.69375i) q^{74} +(-1.98879 + 6.12086i) q^{75} +(-21.2565 - 15.4438i) q^{76} +(-2.48782 + 7.65671i) q^{77} +(-2.42525 + 7.46414i) q^{78} +(-3.63578 - 2.64155i) q^{79} +(14.6498 - 45.0875i) q^{80} +(0.195879 + 0.602855i) q^{81} +(25.5902 - 18.5923i) q^{82} +(0.522392 + 1.60776i) q^{83} +(-35.2731 - 25.6274i) q^{84} +(-0.420320 - 0.305381i) q^{85} +(-20.5435 + 14.9257i) q^{86} -17.2626 q^{87} +31.2545 q^{88} +(10.4825 - 7.61598i) q^{89} +(11.4860 - 35.3502i) q^{90} +(-0.831103 - 2.55787i) q^{91} -13.6760 q^{92} +(-9.19129 + 12.7235i) q^{93} +27.4145 q^{94} +(3.81037 + 11.7271i) q^{95} +(-24.4125 + 75.1341i) q^{96} +(5.46018 - 3.96705i) q^{97} +0.649894 q^{98} +14.8092 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.860293 + 2.64771i 0.608319 + 1.87221i 0.472127 + 0.881530i \(0.343486\pi\)
0.136192 + 0.990682i \(0.456514\pi\)
\(3\) −0.871148 + 2.68112i −0.502958 + 1.54794i 0.301219 + 0.953555i \(0.402606\pi\)
−0.804177 + 0.594390i \(0.797394\pi\)
\(4\) −4.65223 + 3.38004i −2.32611 + 1.69002i
\(5\) 2.69869 1.20689 0.603446 0.797404i \(-0.293794\pi\)
0.603446 + 0.797404i \(0.293794\pi\)
\(6\) −7.84827 −3.20404
\(7\) 2.17586 1.58085i 0.822396 0.597506i −0.0950016 0.995477i \(-0.530286\pi\)
0.917398 + 0.397971i \(0.130286\pi\)
\(8\) −8.44709 6.13717i −2.98650 2.16982i
\(9\) −4.00245 2.90795i −1.33415 0.969317i
\(10\) 2.32167 + 7.14536i 0.734176 + 2.25956i
\(11\) −2.42170 + 1.75947i −0.730171 + 0.530500i −0.889618 0.456706i \(-0.849029\pi\)
0.159447 + 0.987207i \(0.449029\pi\)
\(12\) −5.00951 15.4177i −1.44612 4.45070i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) 6.05751 + 4.40104i 1.61894 + 1.17623i
\(15\) −2.35096 + 7.23552i −0.607016 + 1.86820i
\(16\) 5.42848 16.7071i 1.35712 4.17679i
\(17\) −0.155750 0.113159i −0.0377748 0.0274450i 0.568738 0.822519i \(-0.307432\pi\)
−0.606512 + 0.795074i \(0.707432\pi\)
\(18\) 4.25613 13.0990i 1.00318 3.08747i
\(19\) 1.41193 + 4.34548i 0.323919 + 0.996921i 0.971926 + 0.235286i \(0.0756028\pi\)
−0.648007 + 0.761634i \(0.724397\pi\)
\(20\) −12.5549 + 9.12169i −2.80737 + 2.03967i
\(21\) 2.34296 + 7.21089i 0.511276 + 1.57354i
\(22\) −6.74194 4.89831i −1.43739 1.04432i
\(23\) 1.92404 + 1.39790i 0.401190 + 0.291482i 0.770026 0.638013i \(-0.220243\pi\)
−0.368835 + 0.929495i \(0.620243\pi\)
\(24\) 23.8131 17.3013i 4.86084 3.53160i
\(25\) 2.28295 0.456590
\(26\) 2.78397 0.545981
\(27\) 4.44120 3.22672i 0.854709 0.620983i
\(28\) −4.77923 + 14.7090i −0.903190 + 2.77973i
\(29\) 1.89225 + 5.82375i 0.351382 + 1.08144i 0.958077 + 0.286509i \(0.0924949\pi\)
−0.606695 + 0.794935i \(0.707505\pi\)
\(30\) −21.1801 −3.86693
\(31\) 5.29993 + 1.70610i 0.951895 + 0.306425i
\(32\) 28.0234 4.95388
\(33\) −2.60769 8.02564i −0.453940 1.39708i
\(34\) 0.165621 0.509729i 0.0284038 0.0874178i
\(35\) 5.87197 4.26624i 0.992544 0.721126i
\(36\) 28.4493 4.74155
\(37\) −3.66119 −0.601895 −0.300948 0.953641i \(-0.597303\pi\)
−0.300948 + 0.953641i \(0.597303\pi\)
\(38\) −10.2909 + 7.47676i −1.66940 + 1.21289i
\(39\) 2.28070 + 1.65702i 0.365204 + 0.265336i
\(40\) −22.7961 16.5623i −3.60438 2.61874i
\(41\) −3.51102 10.8058i −0.548330 1.68759i −0.712939 0.701226i \(-0.752636\pi\)
0.164609 0.986359i \(-0.447364\pi\)
\(42\) −17.0767 + 12.4069i −2.63499 + 1.91443i
\(43\) 2.81861 + 8.67478i 0.429833 + 1.32289i 0.898289 + 0.439404i \(0.144810\pi\)
−0.468456 + 0.883487i \(0.655190\pi\)
\(44\) 5.31923 16.3709i 0.801904 2.46801i
\(45\) −10.8014 7.84767i −1.61018 1.16986i
\(46\) −2.04599 + 6.29690i −0.301664 + 0.928427i
\(47\) 3.04298 9.36532i 0.443864 1.36607i −0.439861 0.898066i \(-0.644972\pi\)
0.883725 0.468006i \(-0.155028\pi\)
\(48\) 40.0648 + 29.1088i 5.78286 + 4.20149i
\(49\) 0.0721375 0.222016i 0.0103054 0.0317166i
\(50\) 1.96401 + 6.04459i 0.277752 + 0.854834i
\(51\) 0.439073 0.319005i 0.0614825 0.0446696i
\(52\) 1.77699 + 5.46902i 0.246424 + 0.758416i
\(53\) −0.217167 0.157781i −0.0298302 0.0216729i 0.572770 0.819716i \(-0.305869\pi\)
−0.602600 + 0.798043i \(0.705869\pi\)
\(54\) 12.3642 + 8.98308i 1.68255 + 1.22244i
\(55\) −6.53544 + 4.74827i −0.881238 + 0.640257i
\(56\) −28.0816 −3.75256
\(57\) −12.8807 −1.70610
\(58\) −13.7917 + 10.0203i −1.81094 + 1.31573i
\(59\) 1.33591 4.11152i 0.173921 0.535275i −0.825661 0.564166i \(-0.809198\pi\)
0.999583 + 0.0288916i \(0.00919775\pi\)
\(60\) −13.5191 41.6076i −1.74531 5.37152i
\(61\) 2.95269 0.378053 0.189026 0.981972i \(-0.439467\pi\)
0.189026 + 0.981972i \(0.439467\pi\)
\(62\) 0.0422251 + 15.5004i 0.00536260 + 1.96855i
\(63\) −13.3058 −1.67637
\(64\) 13.2514 + 40.7835i 1.65642 + 5.09794i
\(65\) 0.833942 2.56661i 0.103438 0.318349i
\(66\) 19.0062 13.8088i 2.33950 1.69974i
\(67\) −6.25573 −0.764259 −0.382129 0.924109i \(-0.624809\pi\)
−0.382129 + 0.924109i \(0.624809\pi\)
\(68\) 1.10706 0.134251
\(69\) −5.42405 + 3.94081i −0.652979 + 0.474417i
\(70\) 16.3474 + 11.8771i 1.95388 + 1.41958i
\(71\) 6.28700 + 4.56777i 0.746129 + 0.542094i 0.894625 0.446819i \(-0.147443\pi\)
−0.148496 + 0.988913i \(0.547443\pi\)
\(72\) 15.9625 + 49.1274i 1.88119 + 5.78972i
\(73\) 5.80924 4.22066i 0.679920 0.493991i −0.193411 0.981118i \(-0.561955\pi\)
0.873331 + 0.487127i \(0.161955\pi\)
\(74\) −3.14969 9.69375i −0.366144 1.12688i
\(75\) −1.98879 + 6.12086i −0.229646 + 0.706777i
\(76\) −21.2565 15.4438i −2.43829 1.77152i
\(77\) −2.48782 + 7.65671i −0.283513 + 0.872563i
\(78\) −2.42525 + 7.46414i −0.274605 + 0.845148i
\(79\) −3.63578 2.64155i −0.409057 0.297197i 0.364163 0.931335i \(-0.381355\pi\)
−0.773220 + 0.634138i \(0.781355\pi\)
\(80\) 14.6498 45.0875i 1.63790 5.04093i
\(81\) 0.195879 + 0.602855i 0.0217644 + 0.0669838i
\(82\) 25.5902 18.5923i 2.82596 2.05318i
\(83\) 0.522392 + 1.60776i 0.0573400 + 0.176474i 0.975624 0.219447i \(-0.0704253\pi\)
−0.918284 + 0.395921i \(0.870425\pi\)
\(84\) −35.2731 25.6274i −3.84861 2.79618i
\(85\) −0.420320 0.305381i −0.0455901 0.0331232i
\(86\) −20.5435 + 14.9257i −2.21526 + 1.60948i
\(87\) −17.2626 −1.85075
\(88\) 31.2545 3.33174
\(89\) 10.4825 7.61598i 1.11114 0.807292i 0.128299 0.991736i \(-0.459048\pi\)
0.982843 + 0.184444i \(0.0590483\pi\)
\(90\) 11.4860 35.3502i 1.21073 3.72624i
\(91\) −0.831103 2.55787i −0.0871233 0.268138i
\(92\) −13.6760 −1.42582
\(93\) −9.19129 + 12.7235i −0.953092 + 1.31936i
\(94\) 27.4145 2.82759
\(95\) 3.81037 + 11.7271i 0.390936 + 1.20318i
\(96\) −24.4125 + 75.1341i −2.49159 + 7.66834i
\(97\) 5.46018 3.96705i 0.554397 0.402793i −0.275007 0.961442i \(-0.588680\pi\)
0.829404 + 0.558649i \(0.188680\pi\)
\(98\) 0.649894 0.0656492
\(99\) 14.8092 1.48838
\(100\) −10.6208 + 7.71647i −1.06208 + 0.771647i
\(101\) −5.68080 4.12735i −0.565261 0.410686i 0.268120 0.963386i \(-0.413598\pi\)
−0.833381 + 0.552699i \(0.813598\pi\)
\(102\) 1.22236 + 0.888099i 0.121032 + 0.0879349i
\(103\) 4.99743 + 15.3805i 0.492411 + 1.51549i 0.820953 + 0.570996i \(0.193443\pi\)
−0.328542 + 0.944489i \(0.606557\pi\)
\(104\) −8.44709 + 6.13717i −0.828305 + 0.601799i
\(105\) 6.32293 + 19.4600i 0.617055 + 1.89910i
\(106\) 0.230931 0.710733i 0.0224300 0.0690325i
\(107\) −3.40449 2.47351i −0.329124 0.239123i 0.410935 0.911665i \(-0.365202\pi\)
−0.740059 + 0.672542i \(0.765202\pi\)
\(108\) −9.75502 + 30.0229i −0.938677 + 2.88895i
\(109\) 2.28032 7.01811i 0.218415 0.672213i −0.780478 0.625183i \(-0.785024\pi\)
0.998893 0.0470299i \(-0.0149756\pi\)
\(110\) −18.1944 13.2190i −1.73477 1.26039i
\(111\) 3.18944 9.81607i 0.302728 0.931701i
\(112\) −14.5999 44.9340i −1.37956 4.24586i
\(113\) 1.61482 1.17323i 0.151909 0.110369i −0.509234 0.860628i \(-0.670071\pi\)
0.661144 + 0.750259i \(0.270071\pi\)
\(114\) −11.0812 34.1045i −1.03785 3.19418i
\(115\) 5.19240 + 3.77250i 0.484194 + 0.351787i
\(116\) −28.4877 20.6975i −2.64502 1.92172i
\(117\) −4.00245 + 2.90795i −0.370027 + 0.268840i
\(118\) 12.0354 1.10795
\(119\) −0.517776 −0.0474644
\(120\) 64.2644 46.6908i 5.86651 4.26227i
\(121\) −0.630276 + 1.93979i −0.0572978 + 0.176345i
\(122\) 2.54018 + 7.81786i 0.229977 + 0.707796i
\(123\) 32.0303 2.88808
\(124\) −30.4231 + 9.97679i −2.73208 + 0.895942i
\(125\) −7.33248 −0.655837
\(126\) −11.4469 35.2299i −1.01977 3.13853i
\(127\) 5.54129 17.0543i 0.491710 1.51333i −0.330312 0.943872i \(-0.607154\pi\)
0.822022 0.569456i \(-0.192846\pi\)
\(128\) −51.2400 + 37.2281i −4.52902 + 3.29053i
\(129\) −25.7135 −2.26395
\(130\) 7.51307 0.658940
\(131\) 7.04521 5.11864i 0.615543 0.447218i −0.235819 0.971797i \(-0.575777\pi\)
0.851362 + 0.524579i \(0.175777\pi\)
\(132\) 39.2585 + 28.5230i 3.41701 + 2.48261i
\(133\) 9.94171 + 7.22308i 0.862056 + 0.626320i
\(134\) −5.38176 16.5633i −0.464913 1.43085i
\(135\) 11.9854 8.70793i 1.03154 0.749460i
\(136\) 0.621156 + 1.91172i 0.0532637 + 0.163929i
\(137\) 3.29505 10.1411i 0.281515 0.866414i −0.705907 0.708305i \(-0.749460\pi\)
0.987422 0.158109i \(-0.0505398\pi\)
\(138\) −15.1004 10.9711i −1.28543 0.933919i
\(139\) −3.55302 + 10.9351i −0.301363 + 0.927500i 0.679646 + 0.733540i \(0.262133\pi\)
−0.981009 + 0.193960i \(0.937867\pi\)
\(140\) −12.8977 + 39.6950i −1.09005 + 3.35484i
\(141\) 22.4587 + 16.3172i 1.89136 + 1.37415i
\(142\) −6.68547 + 20.5758i −0.561032 + 1.72668i
\(143\) 0.925008 + 2.84688i 0.0773531 + 0.238068i
\(144\) −70.3108 + 51.0838i −5.85923 + 4.25698i
\(145\) 5.10661 + 15.7165i 0.424081 + 1.30519i
\(146\) 16.1727 + 11.7502i 1.33846 + 0.972452i
\(147\) 0.532410 + 0.386819i 0.0439124 + 0.0319043i
\(148\) 17.0327 12.3750i 1.40008 1.01721i
\(149\) −13.3218 −1.09137 −0.545683 0.837992i \(-0.683730\pi\)
−0.545683 + 0.837992i \(0.683730\pi\)
\(150\) −17.9172 −1.46293
\(151\) 7.73099 5.61689i 0.629139 0.457096i −0.226963 0.973903i \(-0.572880\pi\)
0.856102 + 0.516807i \(0.172880\pi\)
\(152\) 14.7422 45.3719i 1.19575 3.68014i
\(153\) 0.294320 + 0.905824i 0.0237944 + 0.0732315i
\(154\) −22.4130 −1.80609
\(155\) 14.3029 + 4.60425i 1.14883 + 0.369822i
\(156\) −16.2111 −1.29793
\(157\) 2.27101 + 6.98945i 0.181246 + 0.557819i 0.999864 0.0165206i \(-0.00525892\pi\)
−0.818617 + 0.574340i \(0.805259\pi\)
\(158\) 3.86621 11.8990i 0.307579 0.946632i
\(159\) 0.612214 0.444800i 0.0485518 0.0352749i
\(160\) 75.6266 5.97881
\(161\) 6.39630 0.504099
\(162\) −1.42767 + 1.03726i −0.112168 + 0.0814951i
\(163\) 11.4412 + 8.31254i 0.896146 + 0.651088i 0.937473 0.348057i \(-0.113159\pi\)
−0.0413270 + 0.999146i \(0.513159\pi\)
\(164\) 52.8582 + 38.4037i 4.12753 + 2.99883i
\(165\) −7.03735 21.6587i −0.547857 1.68613i
\(166\) −3.80746 + 2.76628i −0.295516 + 0.214705i
\(167\) 3.34876 + 10.3064i 0.259135 + 0.797536i 0.992987 + 0.118226i \(0.0377207\pi\)
−0.733852 + 0.679310i \(0.762279\pi\)
\(168\) 24.4632 75.2901i 1.88738 5.80876i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) 0.446960 1.37560i 0.0342803 0.105504i
\(171\) 6.98525 21.4984i 0.534175 1.64402i
\(172\) −42.4339 30.8300i −3.23555 2.35077i
\(173\) 1.44473 4.44642i 0.109841 0.338055i −0.880995 0.473125i \(-0.843126\pi\)
0.990836 + 0.135070i \(0.0431259\pi\)
\(174\) −14.8509 45.7064i −1.12584 3.46499i
\(175\) 4.96737 3.60901i 0.375498 0.272815i
\(176\) 16.2496 + 50.0110i 1.22486 + 3.76972i
\(177\) 9.85970 + 7.16349i 0.741100 + 0.538441i
\(178\) 29.1829 + 21.2026i 2.18735 + 1.58920i
\(179\) −5.83519 + 4.23951i −0.436143 + 0.316876i −0.784100 0.620634i \(-0.786875\pi\)
0.347958 + 0.937510i \(0.386875\pi\)
\(180\) 76.7759 5.72254
\(181\) −3.82292 −0.284155 −0.142078 0.989856i \(-0.545378\pi\)
−0.142078 + 0.989856i \(0.545378\pi\)
\(182\) 6.05751 4.40104i 0.449012 0.326227i
\(183\) −2.57223 + 7.91651i −0.190145 + 0.585205i
\(184\) −7.67341 23.6163i −0.565691 1.74102i
\(185\) −9.88042 −0.726423
\(186\) −41.5952 13.3899i −3.04991 0.981799i
\(187\) 0.576278 0.0421417
\(188\) 17.4985 + 53.8550i 1.27621 + 3.92778i
\(189\) 4.56244 14.0418i 0.331869 1.02139i
\(190\) −27.7720 + 20.1775i −2.01479 + 1.46383i
\(191\) 4.28412 0.309988 0.154994 0.987915i \(-0.450464\pi\)
0.154994 + 0.987915i \(0.450464\pi\)
\(192\) −120.889 −8.72444
\(193\) −3.92809 + 2.85392i −0.282750 + 0.205430i −0.720116 0.693854i \(-0.755911\pi\)
0.437366 + 0.899284i \(0.355911\pi\)
\(194\) 15.2009 + 11.0441i 1.09136 + 0.792923i
\(195\) 6.15490 + 4.47180i 0.440762 + 0.320232i
\(196\) 0.414824 + 1.27670i 0.0296303 + 0.0911927i
\(197\) −13.7540 + 9.99283i −0.979929 + 0.711960i −0.957693 0.287793i \(-0.907079\pi\)
−0.0222362 + 0.999753i \(0.507079\pi\)
\(198\) 12.7402 + 39.2104i 0.905410 + 2.78657i
\(199\) −0.197017 + 0.606355i −0.0139661 + 0.0429833i −0.957797 0.287446i \(-0.907194\pi\)
0.943831 + 0.330430i \(0.107194\pi\)
\(200\) −19.2843 14.0109i −1.36360 0.990717i
\(201\) 5.44967 16.7723i 0.384390 1.18303i
\(202\) 6.04085 18.5918i 0.425033 1.30812i
\(203\) 13.3238 + 9.68028i 0.935145 + 0.679422i
\(204\) −0.964416 + 2.96817i −0.0675226 + 0.207813i
\(205\) −9.47518 29.1616i −0.661775 2.03673i
\(206\) −36.4238 + 26.4635i −2.53777 + 1.84380i
\(207\) −3.63586 11.1900i −0.252710 0.777761i
\(208\) −14.2119 10.3256i −0.985421 0.715950i
\(209\) −11.0650 8.03921i −0.765383 0.556083i
\(210\) −46.0848 + 33.4826i −3.18015 + 2.31052i
\(211\) 3.85112 0.265122 0.132561 0.991175i \(-0.457680\pi\)
0.132561 + 0.991175i \(0.457680\pi\)
\(212\) 1.54362 0.106016
\(213\) −17.7236 + 12.8770i −1.21440 + 0.882316i
\(214\) 3.62027 11.1420i 0.247476 0.761654i
\(215\) 7.60655 + 23.4106i 0.518763 + 1.59659i
\(216\) −57.3181 −3.90000
\(217\) 14.2290 4.66616i 0.965925 0.316760i
\(218\) 20.5436 1.39139
\(219\) 6.25538 + 19.2521i 0.422700 + 1.30094i
\(220\) 14.3550 44.1801i 0.967812 2.97862i
\(221\) −0.155750 + 0.113159i −0.0104768 + 0.00761187i
\(222\) 28.7340 1.92850
\(223\) −21.1032 −1.41317 −0.706587 0.707626i \(-0.749766\pi\)
−0.706587 + 0.707626i \(0.749766\pi\)
\(224\) 60.9749 44.3008i 4.07406 2.95997i
\(225\) −9.13740 6.63871i −0.609160 0.442581i
\(226\) 4.49560 + 3.26625i 0.299043 + 0.217267i
\(227\) −3.24559 9.98889i −0.215417 0.662986i −0.999124 0.0418546i \(-0.986673\pi\)
0.783707 0.621131i \(-0.213327\pi\)
\(228\) 59.9241 43.5374i 3.96857 2.88334i
\(229\) −2.19920 6.76843i −0.145327 0.447271i 0.851726 0.523988i \(-0.175556\pi\)
−0.997053 + 0.0767169i \(0.975556\pi\)
\(230\) −5.52149 + 16.9934i −0.364076 + 1.12051i
\(231\) −18.3613 13.3403i −1.20808 0.877725i
\(232\) 19.7573 60.8068i 1.29713 3.99216i
\(233\) 6.56683 20.2106i 0.430207 1.32404i −0.467712 0.883881i \(-0.654921\pi\)
0.897919 0.440161i \(-0.145079\pi\)
\(234\) −11.1427 8.09563i −0.728420 0.529228i
\(235\) 8.21206 25.2741i 0.535696 1.64870i
\(236\) 7.68213 + 23.6432i 0.500064 + 1.53904i
\(237\) 10.2496 7.44677i 0.665783 0.483720i
\(238\) −0.445439 1.37092i −0.0288735 0.0888635i
\(239\) −17.7501 12.8962i −1.14816 0.834186i −0.159924 0.987129i \(-0.551125\pi\)
−0.988235 + 0.152943i \(0.951125\pi\)
\(240\) 108.123 + 78.5558i 6.97929 + 5.07075i
\(241\) 2.15937 1.56887i 0.139097 0.101060i −0.516061 0.856552i \(-0.672602\pi\)
0.655158 + 0.755492i \(0.272602\pi\)
\(242\) −5.67822 −0.365010
\(243\) 14.6819 0.941845
\(244\) −13.7366 + 9.98020i −0.879394 + 0.638917i
\(245\) 0.194677 0.599155i 0.0124375 0.0382786i
\(246\) 27.5554 + 84.8069i 1.75687 + 5.40709i
\(247\) 4.56910 0.290725
\(248\) −34.2983 46.9381i −2.17794 2.98057i
\(249\) −4.76567 −0.302012
\(250\) −6.30808 19.4143i −0.398958 1.22787i
\(251\) −3.94691 + 12.1473i −0.249126 + 0.766732i 0.745804 + 0.666166i \(0.232066\pi\)
−0.994930 + 0.100567i \(0.967934\pi\)
\(252\) 61.9015 44.9741i 3.89943 2.83310i
\(253\) −7.11901 −0.447569
\(254\) 49.9221 3.13239
\(255\) 1.18492 0.860897i 0.0742028 0.0539115i
\(256\) −73.2654 53.2304i −4.57909 3.32690i
\(257\) −3.73825 2.71599i −0.233185 0.169419i 0.465057 0.885281i \(-0.346034\pi\)
−0.698242 + 0.715862i \(0.746034\pi\)
\(258\) −22.1212 68.0819i −1.37720 4.23860i
\(259\) −7.96621 + 5.78779i −0.494996 + 0.359636i
\(260\) 4.79556 + 14.7592i 0.297408 + 0.915327i
\(261\) 9.36154 28.8119i 0.579465 1.78341i
\(262\) 19.6136 + 14.2501i 1.21173 + 0.880376i
\(263\) −4.97965 + 15.3258i −0.307058 + 0.945028i 0.671843 + 0.740694i \(0.265503\pi\)
−0.978901 + 0.204335i \(0.934497\pi\)
\(264\) −27.2273 + 83.7970i −1.67572 + 5.15735i
\(265\) −0.586067 0.425803i −0.0360018 0.0261569i
\(266\) −10.5718 + 32.5367i −0.648200 + 1.99495i
\(267\) 11.2875 + 34.7395i 0.690786 + 2.12602i
\(268\) 29.1030 21.1446i 1.77775 1.29161i
\(269\) −4.00720 12.3329i −0.244323 0.751950i −0.995747 0.0921299i \(-0.970633\pi\)
0.751424 0.659820i \(-0.229367\pi\)
\(270\) 33.3671 + 24.2426i 2.03065 + 1.47536i
\(271\) −15.1391 10.9992i −0.919634 0.668153i 0.0237988 0.999717i \(-0.492424\pi\)
−0.943433 + 0.331563i \(0.892424\pi\)
\(272\) −2.73604 + 1.98785i −0.165897 + 0.120531i
\(273\) 7.58197 0.458882
\(274\) 29.6854 1.79336
\(275\) −5.52863 + 4.01679i −0.333389 + 0.242221i
\(276\) 11.9138 36.6670i 0.717129 2.20710i
\(277\) 5.98790 + 18.4289i 0.359778 + 1.10728i 0.953187 + 0.302382i \(0.0977818\pi\)
−0.593409 + 0.804901i \(0.702218\pi\)
\(278\) −32.0095 −1.91980
\(279\) −16.2514 22.2405i −0.972947 1.33150i
\(280\) −75.7836 −4.52894
\(281\) 3.26049 + 10.0348i 0.194504 + 0.598623i 0.999982 + 0.00599689i \(0.00190888\pi\)
−0.805478 + 0.592626i \(0.798091\pi\)
\(282\) −23.8821 + 73.5015i −1.42216 + 4.37695i
\(283\) 14.9439 10.8574i 0.888323 0.645405i −0.0471169 0.998889i \(-0.515003\pi\)
0.935440 + 0.353485i \(0.115003\pi\)
\(284\) −44.6878 −2.65173
\(285\) −34.7612 −2.05908
\(286\) −6.74194 + 4.89831i −0.398659 + 0.289643i
\(287\) −24.7219 17.9615i −1.45929 1.06023i
\(288\) −112.162 81.4907i −6.60922 4.80188i
\(289\) −5.24184 16.1327i −0.308343 0.948983i
\(290\) −37.2196 + 27.0416i −2.18561 + 1.58794i
\(291\) 5.87951 + 18.0953i 0.344663 + 1.06076i
\(292\) −12.7599 + 39.2709i −0.746717 + 2.29816i
\(293\) −16.6873 12.1240i −0.974880 0.708292i −0.0183218 0.999832i \(-0.505832\pi\)
−0.956559 + 0.291540i \(0.905832\pi\)
\(294\) −0.566154 + 1.74244i −0.0330188 + 0.101621i
\(295\) 3.60522 11.0957i 0.209904 0.646019i
\(296\) 30.9263 + 22.4693i 1.79756 + 1.30600i
\(297\) −5.07795 + 15.6283i −0.294653 + 0.906847i
\(298\) −11.4607 35.2723i −0.663898 2.04327i
\(299\) 1.92404 1.39790i 0.111270 0.0808425i
\(300\) −11.4365 35.1978i −0.660285 2.03215i
\(301\) 19.8464 + 14.4193i 1.14393 + 0.831113i
\(302\) 21.5228 + 15.6372i 1.23850 + 0.899822i
\(303\) 16.0147 11.6354i 0.920022 0.668435i
\(304\) 80.2652 4.60352
\(305\) 7.96840 0.456269
\(306\) −2.14516 + 1.55855i −0.122630 + 0.0890962i
\(307\) 0.452335 1.39214i 0.0258161 0.0794539i −0.937318 0.348474i \(-0.886700\pi\)
0.963134 + 0.269020i \(0.0866999\pi\)
\(308\) −14.3061 44.0296i −0.815166 2.50882i
\(309\) −45.5904 −2.59355
\(310\) 0.113953 + 41.8309i 0.00647208 + 2.37583i
\(311\) −23.9604 −1.35867 −0.679336 0.733828i \(-0.737732\pi\)
−0.679336 + 0.733828i \(0.737732\pi\)
\(312\) −9.09581 27.9940i −0.514949 1.58485i
\(313\) −4.81166 + 14.8088i −0.271971 + 0.837040i 0.718034 + 0.696008i \(0.245042\pi\)
−0.990005 + 0.141032i \(0.954958\pi\)
\(314\) −16.5523 + 12.0259i −0.934100 + 0.678664i
\(315\) −35.9083 −2.02320
\(316\) 25.8430 1.45378
\(317\) 1.27074 0.923247i 0.0713719 0.0518547i −0.551527 0.834157i \(-0.685955\pi\)
0.622899 + 0.782302i \(0.285955\pi\)
\(318\) 1.70438 + 1.23831i 0.0955771 + 0.0694408i
\(319\) −14.8292 10.7740i −0.830276 0.603231i
\(320\) 35.7614 + 110.062i 1.99912 + 6.15267i
\(321\) 9.59758 6.97305i 0.535685 0.389198i
\(322\) 5.50269 + 16.9355i 0.306653 + 0.943781i
\(323\) 0.271821 0.836578i 0.0151245 0.0465485i
\(324\) −2.94895 2.14254i −0.163830 0.119030i
\(325\) 0.705471 2.17122i 0.0391325 0.120437i
\(326\) −12.1664 + 37.4443i −0.673833 + 2.07385i
\(327\) 16.8299 + 12.2276i 0.930695 + 0.676189i
\(328\) −36.6592 + 112.825i −2.02417 + 6.22974i
\(329\) −8.18410 25.1881i −0.451204 1.38866i
\(330\) 51.2919 37.2657i 2.82352 2.05141i
\(331\) −10.0078 30.8009i −0.550080 1.69297i −0.708596 0.705614i \(-0.750671\pi\)
0.158517 0.987356i \(-0.449329\pi\)
\(332\) −7.86457 5.71394i −0.431624 0.313593i
\(333\) 14.6537 + 10.6465i 0.803018 + 0.583427i
\(334\) −24.4075 + 17.7331i −1.33552 + 0.970312i
\(335\) −16.8823 −0.922378
\(336\) 133.192 7.26622
\(337\) −2.94428 + 2.13914i −0.160385 + 0.116526i −0.665083 0.746769i \(-0.731604\pi\)
0.504698 + 0.863296i \(0.331604\pi\)
\(338\) 0.860293 2.64771i 0.0467938 0.144016i
\(339\) 1.73884 + 5.35158i 0.0944406 + 0.290658i
\(340\) 2.98762 0.162027
\(341\) −15.8367 + 5.19339i −0.857605 + 0.281238i
\(342\) 62.9308 3.40291
\(343\) 5.62371 + 17.3080i 0.303652 + 0.934544i
\(344\) 29.4295 90.5748i 1.58673 4.88347i
\(345\) −14.6379 + 10.6350i −0.788076 + 0.572571i
\(346\) 13.0157 0.699730
\(347\) 14.7770 0.793274 0.396637 0.917976i \(-0.370177\pi\)
0.396637 + 0.917976i \(0.370177\pi\)
\(348\) 80.3096 58.3483i 4.30504 3.12780i
\(349\) 26.1195 + 18.9769i 1.39815 + 1.01581i 0.994915 + 0.100714i \(0.0321128\pi\)
0.403231 + 0.915098i \(0.367887\pi\)
\(350\) 13.8290 + 10.0474i 0.739191 + 0.537054i
\(351\) −1.69639 5.22094i −0.0905465 0.278673i
\(352\) −67.8644 + 49.3063i −3.61718 + 2.62804i
\(353\) −2.42431 7.46125i −0.129033 0.397122i 0.865581 0.500768i \(-0.166949\pi\)
−0.994614 + 0.103646i \(0.966949\pi\)
\(354\) −10.4846 + 32.2683i −0.557251 + 1.71504i
\(355\) 16.9667 + 12.3270i 0.900498 + 0.654250i
\(356\) −23.0246 + 70.8625i −1.22030 + 3.75570i
\(357\) 0.451059 1.38822i 0.0238726 0.0734723i
\(358\) −16.2450 11.8027i −0.858573 0.623790i
\(359\) 11.1975 34.4625i 0.590983 1.81886i 0.0172008 0.999852i \(-0.494525\pi\)
0.573783 0.819008i \(-0.305475\pi\)
\(360\) 43.0778 + 132.580i 2.27040 + 6.98757i
\(361\) −1.51830 + 1.10311i −0.0799104 + 0.0580583i
\(362\) −3.28883 10.1220i −0.172857 0.531999i
\(363\) −4.65175 3.37969i −0.244153 0.177388i
\(364\) 12.5122 + 9.09064i 0.655817 + 0.476479i
\(365\) 15.6774 11.3903i 0.820591 0.596194i
\(366\) −23.1735 −1.21130
\(367\) 9.41370 0.491391 0.245696 0.969347i \(-0.420984\pi\)
0.245696 + 0.969347i \(0.420984\pi\)
\(368\) 33.7995 24.5568i 1.76192 1.28011i
\(369\) −17.3701 + 53.4596i −0.904251 + 2.78300i
\(370\) −8.50005 26.1605i −0.441897 1.36002i
\(371\) −0.721952 −0.0374819
\(372\) −0.245878 90.2593i −0.0127482 4.67973i
\(373\) 12.4907 0.646745 0.323373 0.946272i \(-0.395183\pi\)
0.323373 + 0.946272i \(0.395183\pi\)
\(374\) 0.495768 + 1.52582i 0.0256356 + 0.0788981i
\(375\) 6.38768 19.6593i 0.329858 1.01520i
\(376\) −83.1808 + 60.4344i −4.28972 + 3.11667i
\(377\) 6.12346 0.315374
\(378\) 41.1035 2.11414
\(379\) −6.14632 + 4.46556i −0.315715 + 0.229380i −0.734345 0.678777i \(-0.762510\pi\)
0.418630 + 0.908157i \(0.362510\pi\)
\(380\) −57.3648 41.6780i −2.94275 2.13803i
\(381\) 40.8974 + 29.7137i 2.09524 + 1.52228i
\(382\) 3.68559 + 11.3431i 0.188571 + 0.580363i
\(383\) 4.38341 3.18474i 0.223982 0.162732i −0.470135 0.882594i \(-0.655795\pi\)
0.694117 + 0.719862i \(0.255795\pi\)
\(384\) −55.1752 169.812i −2.81565 8.66567i
\(385\) −6.71385 + 20.6631i −0.342170 + 1.05309i
\(386\) −10.9357 7.94523i −0.556611 0.404401i
\(387\) 13.9445 42.9167i 0.708838 2.18158i
\(388\) −11.9932 + 36.9112i −0.608862 + 1.87388i
\(389\) 1.28537 + 0.933877i 0.0651709 + 0.0473494i 0.619894 0.784686i \(-0.287176\pi\)
−0.554723 + 0.832035i \(0.687176\pi\)
\(390\) −6.54500 + 20.1434i −0.331419 + 1.02000i
\(391\) −0.141484 0.435444i −0.00715516 0.0220213i
\(392\) −1.97190 + 1.43267i −0.0995962 + 0.0723609i
\(393\) 7.58627 + 23.3481i 0.382677 + 1.17776i
\(394\) −38.2905 27.8197i −1.92905 1.40154i
\(395\) −9.81185 7.12872i −0.493688 0.358685i
\(396\) −68.8957 + 50.0557i −3.46214 + 2.51539i
\(397\) 26.8099 1.34555 0.672776 0.739846i \(-0.265102\pi\)
0.672776 + 0.739846i \(0.265102\pi\)
\(398\) −1.77494 −0.0889698
\(399\) −28.0266 + 20.3625i −1.40309 + 1.01940i
\(400\) 12.3930 38.1416i 0.619648 1.90708i
\(401\) 4.54199 + 13.9788i 0.226816 + 0.698069i 0.998102 + 0.0615797i \(0.0196138\pi\)
−0.771286 + 0.636489i \(0.780386\pi\)
\(402\) 49.0966 2.44872
\(403\) 3.26037 4.51331i 0.162410 0.224824i
\(404\) 40.3790 2.00893
\(405\) 0.528618 + 1.62692i 0.0262673 + 0.0808423i
\(406\) −14.1682 + 43.6053i −0.703157 + 2.16410i
\(407\) 8.86630 6.44175i 0.439486 0.319306i
\(408\) −5.66667 −0.280542
\(409\) 31.8316 1.57397 0.786986 0.616971i \(-0.211640\pi\)
0.786986 + 0.616971i \(0.211640\pi\)
\(410\) 69.0600 50.1750i 3.41063 2.47797i
\(411\) 24.3191 + 17.6688i 1.19957 + 0.871539i
\(412\) −75.2358 54.6620i −3.70660 2.69300i
\(413\) −3.59295 11.0580i −0.176797 0.544127i
\(414\) 26.5000 19.2534i 1.30241 0.946253i
\(415\) 1.40978 + 4.33884i 0.0692032 + 0.212985i
\(416\) 8.65971 26.6518i 0.424577 1.30671i
\(417\) −26.2230 19.0521i −1.28415 0.932987i
\(418\) 11.7663 36.2130i 0.575510 1.77124i
\(419\) −2.30526 + 7.09487i −0.112620 + 0.346607i −0.991443 0.130540i \(-0.958329\pi\)
0.878824 + 0.477147i \(0.158329\pi\)
\(420\) −95.1912 69.1604i −4.64485 3.37468i
\(421\) 7.11478 21.8970i 0.346753 1.06720i −0.613885 0.789395i \(-0.710394\pi\)
0.960639 0.277801i \(-0.0896057\pi\)
\(422\) 3.31309 + 10.1966i 0.161279 + 0.496365i
\(423\) −39.4132 + 28.6354i −1.91634 + 1.39230i
\(424\) 0.866099 + 2.66558i 0.0420615 + 0.129452i
\(425\) −0.355569 0.258336i −0.0172476 0.0125311i
\(426\) −49.3420 35.8491i −2.39063 1.73689i
\(427\) 6.42462 4.66776i 0.310909 0.225889i
\(428\) 24.1990 1.16970
\(429\) −8.43865 −0.407422
\(430\) −55.4405 + 40.2799i −2.67358 + 1.94247i
\(431\) −2.49609 + 7.68217i −0.120232 + 0.370037i −0.993002 0.118095i \(-0.962321\pi\)
0.872770 + 0.488132i \(0.162321\pi\)
\(432\) −29.8003 91.7160i −1.43377 4.41269i
\(433\) −29.2614 −1.40621 −0.703107 0.711084i \(-0.748205\pi\)
−0.703107 + 0.711084i \(0.748205\pi\)
\(434\) 24.5957 + 33.6599i 1.18063 + 1.61573i
\(435\) −46.5865 −2.23365
\(436\) 13.1129 + 40.3574i 0.627995 + 1.93277i
\(437\) −3.35792 + 10.3346i −0.160631 + 0.494371i
\(438\) −45.5925 + 33.1249i −2.17849 + 1.58277i
\(439\) 16.2124 0.773778 0.386889 0.922126i \(-0.373550\pi\)
0.386889 + 0.922126i \(0.373550\pi\)
\(440\) 84.3463 4.02105
\(441\) −0.934340 + 0.678837i −0.0444924 + 0.0323256i
\(442\) −0.433601 0.315030i −0.0206243 0.0149844i
\(443\) −16.8952 12.2751i −0.802716 0.583207i 0.108994 0.994042i \(-0.465237\pi\)
−0.911710 + 0.410835i \(0.865237\pi\)
\(444\) 18.3407 + 56.4470i 0.870413 + 2.67886i
\(445\) 28.2890 20.5532i 1.34103 0.974315i
\(446\) −18.1549 55.8751i −0.859661 2.64576i
\(447\) 11.6053 35.7174i 0.548911 1.68937i
\(448\) 93.3058 + 67.7906i 4.40828 + 3.20281i
\(449\) −5.13378 + 15.8002i −0.242278 + 0.745656i 0.753794 + 0.657111i \(0.228222\pi\)
−0.996072 + 0.0885448i \(0.971778\pi\)
\(450\) 9.71653 29.9044i 0.458042 1.40971i
\(451\) 27.5152 + 19.9909i 1.29564 + 0.941337i
\(452\) −3.54692 + 10.9163i −0.166833 + 0.513460i
\(453\) 8.32472 + 25.6209i 0.391129 + 1.20377i
\(454\) 23.6555 17.1867i 1.11021 0.806614i
\(455\) −2.24289 6.90292i −0.105148 0.323614i
\(456\) 108.805 + 79.0513i 5.09525 + 3.70191i
\(457\) 1.97399 + 1.43419i 0.0923394 + 0.0670885i 0.632997 0.774154i \(-0.281825\pi\)
−0.540658 + 0.841243i \(0.681825\pi\)
\(458\) 16.0289 11.6457i 0.748981 0.544166i
\(459\) −1.05685 −0.0493294
\(460\) −36.9074 −1.72082
\(461\) 9.02092 6.55408i 0.420146 0.305254i −0.357550 0.933894i \(-0.616388\pi\)
0.777697 + 0.628640i \(0.216388\pi\)
\(462\) 19.5250 60.0919i 0.908387 2.79573i
\(463\) 8.80306 + 27.0930i 0.409113 + 1.25912i 0.917412 + 0.397939i \(0.130274\pi\)
−0.508299 + 0.861181i \(0.669726\pi\)
\(464\) 107.570 4.99383
\(465\) −24.8045 + 34.3367i −1.15028 + 1.59233i
\(466\) 59.1612 2.74059
\(467\) −10.8643 33.4369i −0.502741 1.54728i −0.804536 0.593905i \(-0.797586\pi\)
0.301795 0.953373i \(-0.402414\pi\)
\(468\) 8.79131 27.0569i 0.406379 1.25070i
\(469\) −13.6116 + 9.88938i −0.628523 + 0.456649i
\(470\) 73.9833 3.41260
\(471\) −20.7179 −0.954632
\(472\) −36.5177 + 26.5316i −1.68086 + 1.22122i
\(473\) −22.0888 16.0485i −1.01565 0.737910i
\(474\) 28.5345 + 20.7316i 1.31063 + 0.952232i
\(475\) 3.22337 + 9.92051i 0.147898 + 0.455184i
\(476\) 2.40881 1.75010i 0.110408 0.0802158i
\(477\) 0.410381 + 1.26302i 0.0187900 + 0.0578298i
\(478\) 18.8751 58.0916i 0.863328 2.65705i
\(479\) −4.78916 3.47953i −0.218822 0.158984i 0.472974 0.881076i \(-0.343180\pi\)
−0.691796 + 0.722093i \(0.743180\pi\)
\(480\) −65.8820 + 202.764i −3.00709 + 9.25486i
\(481\) −1.13137 + 3.48199i −0.0515860 + 0.158765i
\(482\) 6.01161 + 4.36769i 0.273821 + 0.198943i
\(483\) −5.57213 + 17.1493i −0.253541 + 0.780318i
\(484\) −3.62438 11.1547i −0.164745 0.507032i
\(485\) 14.7353 10.7059i 0.669098 0.486128i
\(486\) 12.6307 + 38.8734i 0.572942 + 1.76333i
\(487\) −33.9222 24.6459i −1.53716 1.11681i −0.952085 0.305833i \(-0.901065\pi\)
−0.585075 0.810979i \(-0.698935\pi\)
\(488\) −24.9416 18.1211i −1.12905 0.820305i
\(489\) −32.2539 + 23.4338i −1.45857 + 1.05972i
\(490\) 1.75387 0.0792316
\(491\) −30.0101 −1.35434 −0.677168 0.735829i \(-0.736793\pi\)
−0.677168 + 0.735829i \(0.736793\pi\)
\(492\) −149.012 + 108.264i −6.71799 + 4.88090i
\(493\) 0.364291 1.12117i 0.0164068 0.0504950i
\(494\) 3.93077 + 12.0977i 0.176854 + 0.544299i
\(495\) 39.9655 1.79632
\(496\) 57.2746 79.2851i 2.57171 3.56001i
\(497\) 20.9006 0.937518
\(498\) −4.09987 12.6181i −0.183720 0.565431i
\(499\) 4.04681 12.4548i 0.181160 0.557553i −0.818701 0.574220i \(-0.805305\pi\)
0.999861 + 0.0166666i \(0.00530539\pi\)
\(500\) 34.1124 24.7841i 1.52555 1.10838i
\(501\) −30.5500 −1.36488
\(502\) −35.5581 −1.58703
\(503\) −34.8340 + 25.3084i −1.55317 + 1.12845i −0.611832 + 0.790988i \(0.709567\pi\)
−0.941341 + 0.337458i \(0.890433\pi\)
\(504\) 112.395 + 81.6599i 5.00648 + 3.63742i
\(505\) −15.3308 11.1384i −0.682209 0.495654i
\(506\) −6.12444 18.8491i −0.272264 0.837944i
\(507\) 2.28070 1.65702i 0.101289 0.0735910i
\(508\) 31.8650 + 98.0704i 1.41378 + 4.35117i
\(509\) −9.56033 + 29.4237i −0.423754 + 1.30418i 0.480428 + 0.877034i \(0.340481\pi\)
−0.904182 + 0.427147i \(0.859519\pi\)
\(510\) 3.29879 + 2.39671i 0.146073 + 0.106128i
\(511\) 5.96783 18.3671i 0.264001 0.812513i
\(512\) 38.7651 119.307i 1.71319 5.27266i
\(513\) 20.2923 + 14.7432i 0.895927 + 0.650929i
\(514\) 3.97518 12.2343i 0.175338 0.539633i
\(515\) 13.4865 + 41.5073i 0.594287 + 1.82903i
\(516\) 119.625 86.9128i 5.26620 3.82612i
\(517\) 9.10882 + 28.0341i 0.400605 + 1.23294i
\(518\) −22.1777 16.1130i −0.974431 0.707965i
\(519\) 10.6628 + 7.74699i 0.468046 + 0.340055i
\(520\) −22.7961 + 16.5623i −0.999675 + 0.726307i
\(521\) −10.3145 −0.451885 −0.225942 0.974141i \(-0.572546\pi\)
−0.225942 + 0.974141i \(0.572546\pi\)
\(522\) 84.3391 3.69142
\(523\) −13.4449 + 9.76830i −0.587905 + 0.427138i −0.841565 0.540155i \(-0.818366\pi\)
0.253660 + 0.967293i \(0.418366\pi\)
\(524\) −15.4747 + 47.6262i −0.676014 + 2.08056i
\(525\) 5.34886 + 16.4621i 0.233443 + 0.718465i
\(526\) −44.8622 −1.95608
\(527\) −0.632401 0.865457i −0.0275478 0.0376999i
\(528\) −148.241 −6.45137
\(529\) −5.35958 16.4951i −0.233025 0.717177i
\(530\) 0.623212 1.91805i 0.0270706 0.0833148i
\(531\) −17.3030 + 12.5714i −0.750888 + 0.545552i
\(532\) −70.6654 −3.06373
\(533\) −11.3619 −0.492139
\(534\) −82.2694 + 59.7722i −3.56014 + 2.58660i
\(535\) −9.18768 6.67524i −0.397218 0.288596i
\(536\) 52.8426 + 38.3924i 2.28245 + 1.65830i
\(537\) −6.28333 19.3381i −0.271146 0.834500i
\(538\) 29.2066 21.2198i 1.25918 0.914851i
\(539\) 0.215936 + 0.664582i 0.00930101 + 0.0286256i
\(540\) −26.3258 + 81.0225i −1.13288 + 3.48665i
\(541\) 8.53591 + 6.20170i 0.366987 + 0.266632i 0.755961 0.654617i \(-0.227170\pi\)
−0.388973 + 0.921249i \(0.627170\pi\)
\(542\) 16.0986 49.5464i 0.691495 2.12820i
\(543\) 3.33033 10.2497i 0.142918 0.439857i
\(544\) −4.36463 3.17109i −0.187132 0.135959i
\(545\) 6.15389 18.9397i 0.263604 0.811289i
\(546\) 6.52272 + 20.0749i 0.279147 + 0.859125i
\(547\) 8.63243 6.27183i 0.369096 0.268164i −0.387740 0.921769i \(-0.626744\pi\)
0.756836 + 0.653605i \(0.226744\pi\)
\(548\) 18.9481 + 58.3161i 0.809421 + 2.49114i
\(549\) −11.8180 8.58627i −0.504379 0.366453i
\(550\) −15.3915 11.1826i −0.656297 0.476827i
\(551\) −22.6353 + 16.4455i −0.964294 + 0.700601i
\(552\) 70.0028 2.97952
\(553\) −12.0868 −0.513984
\(554\) −43.6429 + 31.7084i −1.85421 + 1.34716i
\(555\) 8.60731 26.4906i 0.365360 1.12446i
\(556\) −20.4315 62.8817i −0.866489 2.66678i
\(557\) 5.59996 0.237278 0.118639 0.992937i \(-0.462147\pi\)
0.118639 + 0.992937i \(0.462147\pi\)
\(558\) 44.9054 62.1624i 1.90100 2.63154i
\(559\) 9.12120 0.385786
\(560\) −39.4008 121.263i −1.66499 5.12430i
\(561\) −0.502024 + 1.54507i −0.0211955 + 0.0652330i
\(562\) −23.7641 + 17.2657i −1.00243 + 0.728308i
\(563\) 10.1611 0.428238 0.214119 0.976808i \(-0.431312\pi\)
0.214119 + 0.976808i \(0.431312\pi\)
\(564\) −159.635 −6.72186
\(565\) 4.35790 3.16620i 0.183338 0.133203i
\(566\) 41.6033 + 30.2266i 1.74872 + 1.27052i
\(567\) 1.37923 + 1.00207i 0.0579222 + 0.0420829i
\(568\) −25.0736 77.1687i −1.05207 3.23793i
\(569\) 15.3278 11.1363i 0.642575 0.466858i −0.218159 0.975913i \(-0.570005\pi\)
0.860734 + 0.509055i \(0.170005\pi\)
\(570\) −29.9048 92.0375i −1.25257 3.85503i
\(571\) 2.54036 7.81843i 0.106311 0.327191i −0.883725 0.468006i \(-0.844972\pi\)
0.990036 + 0.140815i \(0.0449724\pi\)
\(572\) −13.9259 10.1178i −0.582272 0.423045i
\(573\) −3.73210 + 11.4862i −0.155911 + 0.479844i
\(574\) 26.2888 80.9085i 1.09727 3.37705i
\(575\) 4.39249 + 3.19133i 0.183180 + 0.133088i
\(576\) 65.5585 201.768i 2.73160 8.40701i
\(577\) 11.6112 + 35.7356i 0.483380 + 1.48769i 0.834313 + 0.551290i \(0.185864\pi\)
−0.350933 + 0.936400i \(0.614136\pi\)
\(578\) 38.2052 27.7577i 1.58913 1.15457i
\(579\) −4.22976 13.0179i −0.175783 0.541004i
\(580\) −76.8796 55.8563i −3.19225 2.31931i
\(581\) 3.67827 + 2.67242i 0.152601 + 0.110871i
\(582\) −42.8529 + 31.1345i −1.77631 + 1.29057i
\(583\) 0.803525 0.0332786
\(584\) −74.9741 −3.10245
\(585\) −10.8014 + 7.84767i −0.446582 + 0.324461i
\(586\) 17.7449 54.6132i 0.733036 2.25605i
\(587\) 6.36023 + 19.5748i 0.262515 + 0.807937i 0.992256 + 0.124213i \(0.0396406\pi\)
−0.729741 + 0.683724i \(0.760359\pi\)
\(588\) −3.78435 −0.156064
\(589\) 0.0693008 + 25.4396i 0.00285549 + 1.04822i
\(590\) 32.4798 1.33717
\(591\) −14.8102 45.5812i −0.609212 1.87496i
\(592\) −19.8747 + 61.1680i −0.816844 + 2.51399i
\(593\) 20.7970 15.1099i 0.854030 0.620489i −0.0722243 0.997388i \(-0.523010\pi\)
0.926254 + 0.376899i \(0.123010\pi\)
\(594\) −45.7478 −1.87705
\(595\) −1.39732 −0.0572845
\(596\) 61.9761 45.0283i 2.53864 1.84443i
\(597\) −1.45408 1.05645i −0.0595115 0.0432376i
\(598\) 5.35646 + 3.89170i 0.219042 + 0.159143i
\(599\) 5.93294 + 18.2597i 0.242414 + 0.746072i 0.996051 + 0.0887819i \(0.0282974\pi\)
−0.753638 + 0.657290i \(0.771703\pi\)
\(600\) 54.3642 39.4979i 2.21941 1.61250i
\(601\) −6.67513 20.5440i −0.272284 0.838005i −0.989925 0.141592i \(-0.954778\pi\)
0.717641 0.696414i \(-0.245222\pi\)
\(602\) −21.1043 + 64.9523i −0.860147 + 2.64726i
\(603\) 25.0382 + 18.1913i 1.01964 + 0.740809i
\(604\) −16.9810 + 52.2621i −0.690947 + 2.12651i
\(605\) −1.70092 + 5.23490i −0.0691523 + 0.212829i
\(606\) 44.5845 + 32.3925i 1.81112 + 1.31586i
\(607\) −3.58120 + 11.0218i −0.145356 + 0.447361i −0.997057 0.0766682i \(-0.975572\pi\)
0.851700 + 0.524029i \(0.175572\pi\)
\(608\) 39.5671 + 121.775i 1.60466 + 4.93863i
\(609\) −37.5610 + 27.2896i −1.52205 + 1.10583i
\(610\) 6.85516 + 21.0980i 0.277557 + 0.854234i
\(611\) −7.96662 5.78809i −0.322295 0.234161i
\(612\) −4.43096 3.21928i −0.179111 0.130132i
\(613\) 26.5985 19.3250i 1.07430 0.780528i 0.0976234 0.995223i \(-0.468876\pi\)
0.976681 + 0.214696i \(0.0688759\pi\)
\(614\) 4.07513 0.164459
\(615\) 86.4400 3.48560
\(616\) 68.0053 49.4087i 2.74001 1.99073i
\(617\) −3.87694 + 11.9320i −0.156080 + 0.480364i −0.998269 0.0588186i \(-0.981267\pi\)
0.842189 + 0.539182i \(0.181267\pi\)
\(618\) −39.2211 120.710i −1.57771 4.85568i
\(619\) −41.0554 −1.65016 −0.825078 0.565018i \(-0.808869\pi\)
−0.825078 + 0.565018i \(0.808869\pi\)
\(620\) −82.1028 + 26.9243i −3.29733 + 1.08131i
\(621\) 13.0557 0.523906
\(622\) −20.6130 63.4402i −0.826505 2.54372i
\(623\) 10.7687 33.1425i 0.431437 1.32783i
\(624\) 40.0648 29.1088i 1.60388 1.16528i
\(625\) −31.2029 −1.24812
\(626\) −43.3487 −1.73256
\(627\) 31.1933 22.6633i 1.24574 0.905085i
\(628\) −34.1899 24.8404i −1.36432 0.991240i
\(629\) 0.570228 + 0.414295i 0.0227365 + 0.0165190i
\(630\) −30.8916 95.0746i −1.23075 3.78786i
\(631\) −34.4637 + 25.0394i −1.37198 + 0.996801i −0.374400 + 0.927267i \(0.622151\pi\)
−0.997580 + 0.0695339i \(0.977849\pi\)
\(632\) 14.5001 + 44.6267i 0.576783 + 1.77516i
\(633\) −3.35490 + 10.3253i −0.133345 + 0.410394i
\(634\) 3.53770 + 2.57029i 0.140500 + 0.102079i
\(635\) 14.9543 46.0245i 0.593441 1.82642i
\(636\) −1.34472 + 4.13862i −0.0533216 + 0.164107i
\(637\) −0.188858 0.137214i −0.00748285 0.00543661i
\(638\) 15.7691 48.5322i 0.624304 1.92141i
\(639\) −11.8805 36.5645i −0.469987 1.44647i
\(640\) −138.281 + 100.467i −5.46604 + 3.97131i
\(641\) −12.6520 38.9390i −0.499726 1.53800i −0.809460 0.587175i \(-0.800240\pi\)
0.309735 0.950823i \(-0.399760\pi\)
\(642\) 26.7193 + 19.4127i 1.05453 + 0.766160i
\(643\) −3.16116 2.29672i −0.124664 0.0905736i 0.523706 0.851899i \(-0.324549\pi\)
−0.648370 + 0.761325i \(0.724549\pi\)
\(644\) −29.7570 + 21.6198i −1.17259 + 0.851938i
\(645\) −69.3930 −2.73235
\(646\) 2.44886 0.0963491
\(647\) 25.7402 18.7014i 1.01195 0.735227i 0.0473353 0.998879i \(-0.484927\pi\)
0.964618 + 0.263652i \(0.0849271\pi\)
\(648\) 2.04521 6.29451i 0.0803434 0.247272i
\(649\) 3.99891 + 12.3074i 0.156971 + 0.483107i
\(650\) 6.35566 0.249289
\(651\) 0.114998 + 42.2145i 0.00450712 + 1.65452i
\(652\) −81.3239 −3.18489
\(653\) −0.961384 2.95883i −0.0376218 0.115788i 0.930482 0.366338i \(-0.119389\pi\)
−0.968104 + 0.250550i \(0.919389\pi\)
\(654\) −17.8966 + 55.0800i −0.699811 + 2.15380i
\(655\) 19.0129 13.8137i 0.742894 0.539744i
\(656\) −199.594 −7.79283
\(657\) −35.5247 −1.38595
\(658\) 59.6500 43.3382i 2.32540 1.68950i
\(659\) −19.8962 14.4554i −0.775045 0.563103i 0.128443 0.991717i \(-0.459002\pi\)
−0.903488 + 0.428614i \(0.859002\pi\)
\(660\) 105.947 + 76.9748i 4.12397 + 2.99624i
\(661\) −10.1206 31.1479i −0.393644 1.21151i −0.930012 0.367528i \(-0.880204\pi\)
0.536368 0.843984i \(-0.319796\pi\)
\(662\) 72.9422 52.9956i 2.83498 2.05973i
\(663\) −0.167711 0.516161i −0.00651335 0.0200460i
\(664\) 5.45438 16.7869i 0.211671 0.651457i
\(665\) 26.8296 + 19.4929i 1.04041 + 0.755901i
\(666\) −15.5825 + 47.9579i −0.603808 + 1.85833i
\(667\) −4.50024 + 13.8503i −0.174250 + 0.536286i
\(668\) −50.4153 36.6289i −1.95063 1.41721i
\(669\) 18.3840 56.5802i 0.710767 2.18752i
\(670\) −14.5237 44.6994i −0.561100 1.72689i
\(671\) −7.15054 + 5.19517i −0.276043 + 0.200557i
\(672\) 65.6577 + 202.074i 2.53280 + 7.79516i
\(673\) 20.2126 + 14.6853i 0.779140 + 0.566078i 0.904721 0.426005i \(-0.140079\pi\)
−0.125581 + 0.992083i \(0.540079\pi\)
\(674\) −8.19676 5.95530i −0.315727 0.229389i
\(675\) 10.1390 7.36645i 0.390252 0.283535i
\(676\) 5.75047 0.221172
\(677\) −5.79843 −0.222852 −0.111426 0.993773i \(-0.535542\pi\)
−0.111426 + 0.993773i \(0.535542\pi\)
\(678\) −12.6735 + 9.20786i −0.486724 + 0.353626i
\(679\) 5.60924 17.2635i 0.215263 0.662511i
\(680\) 1.67631 + 5.15915i 0.0642836 + 0.197844i
\(681\) 29.6088 1.13461
\(682\) −27.3748 37.4631i −1.04823 1.43454i
\(683\) −9.49986 −0.363502 −0.181751 0.983345i \(-0.558176\pi\)
−0.181751 + 0.983345i \(0.558176\pi\)
\(684\) 40.1684 + 123.626i 1.53588 + 4.72695i
\(685\) 8.89233 27.3678i 0.339758 1.04567i
\(686\) −40.9885 + 29.7799i −1.56495 + 1.13700i
\(687\) 20.0628 0.765444
\(688\) 160.231 6.10877
\(689\) −0.217167 + 0.157781i −0.00827340 + 0.00601098i
\(690\) −40.7513 29.6076i −1.55138 1.12714i
\(691\) 14.0703 + 10.2226i 0.535258 + 0.388888i 0.822321 0.569024i \(-0.192679\pi\)
−0.287063 + 0.957912i \(0.592679\pi\)
\(692\) 8.30787 + 25.5690i 0.315818 + 0.971988i
\(693\) 32.2227 23.4112i 1.22404 0.889316i
\(694\) 12.7126 + 39.1253i 0.482563 + 1.48518i
\(695\) −9.58851 + 29.5104i −0.363713 + 1.11939i
\(696\) 145.819 + 105.944i 5.52725 + 4.01578i
\(697\) −0.675932 + 2.08030i −0.0256027 + 0.0787971i
\(698\) −27.7750 + 85.4826i −1.05130 + 3.23557i
\(699\) 48.4664 + 35.2129i 1.83317 + 1.33187i
\(700\) −10.9108 + 33.5798i −0.412388 + 1.26920i
\(701\) −11.4577 35.2632i −0.432751 1.33187i −0.895373 0.445316i \(-0.853091\pi\)
0.462622 0.886556i \(-0.346909\pi\)
\(702\) 12.3642 8.98308i 0.466655 0.339045i
\(703\) −5.16934 15.9096i −0.194965 0.600042i
\(704\) −103.848 75.4502i −3.91393 2.84364i
\(705\) 60.6090 + 44.0350i 2.28267 + 1.65846i
\(706\) 17.6696 12.8377i 0.665004 0.483154i
\(707\) −18.8853 −0.710256
\(708\) −70.0824 −2.63386
\(709\) 15.5876 11.3250i 0.585404 0.425321i −0.255264 0.966871i \(-0.582163\pi\)
0.840668 + 0.541551i \(0.182163\pi\)
\(710\) −18.0420 + 55.5277i −0.677105 + 2.08392i
\(711\) 6.87053 + 21.1453i 0.257665 + 0.793011i
\(712\) −135.287 −5.07010
\(713\) 7.81232 + 10.6914i 0.292574 + 0.400395i
\(714\) 4.06364 0.152078
\(715\) 2.49631 + 7.68287i 0.0933569 + 0.287323i
\(716\) 12.8169 39.4463i 0.478990 1.47418i
\(717\) 50.0393 36.3556i 1.86875 1.35773i
\(718\) 100.880 3.76480
\(719\) 16.4659 0.614074 0.307037 0.951698i \(-0.400662\pi\)
0.307037 + 0.951698i \(0.400662\pi\)
\(720\) −189.747 + 137.859i −7.07146 + 5.13772i
\(721\) 35.1880 + 25.5655i 1.31047 + 0.952111i
\(722\) −4.22689 3.07101i −0.157308 0.114291i
\(723\) 2.32521 + 7.15625i 0.0864753 + 0.266144i
\(724\) 17.7851 12.9216i 0.660977 0.480228i
\(725\) 4.31992 + 13.2953i 0.160438 + 0.493777i
\(726\) 4.94657 15.2240i 0.183585 0.565015i
\(727\) 29.5923 + 21.5001i 1.09752 + 0.797395i 0.980653 0.195753i \(-0.0627151\pi\)
0.116866 + 0.993148i \(0.462715\pi\)
\(728\) −8.67769 + 26.7072i −0.321617 + 0.989834i
\(729\) −13.3778 + 41.1725i −0.495473 + 1.52491i
\(730\) 43.6453 + 31.7101i 1.61538 + 1.17364i
\(731\) 0.542629 1.67004i 0.0200699 0.0617687i
\(732\) −14.7915 45.5236i −0.546710 1.68260i
\(733\) −11.8430 + 8.60441i −0.437430 + 0.317811i −0.784613 0.619986i \(-0.787138\pi\)
0.347183 + 0.937797i \(0.387138\pi\)
\(734\) 8.09854 + 24.9247i 0.298923 + 0.919989i
\(735\) 1.43681 + 1.04391i 0.0529976 + 0.0385050i
\(736\) 53.9182 + 39.1738i 1.98745 + 1.44397i
\(737\) 15.1495 11.0068i 0.558039 0.405439i
\(738\) −156.489 −5.76044
\(739\) −1.55788 −0.0573076 −0.0286538 0.999589i \(-0.509122\pi\)
−0.0286538 + 0.999589i \(0.509122\pi\)
\(740\) 45.9659 33.3962i 1.68974 1.22767i
\(741\) −3.98037 + 12.2503i −0.146222 + 0.450027i
\(742\) −0.621091 1.91152i −0.0228010 0.0701741i
\(743\) 44.3452 1.62687 0.813434 0.581657i \(-0.197595\pi\)
0.813434 + 0.581657i \(0.197595\pi\)
\(744\) 155.726 51.0677i 5.70918 1.87223i
\(745\) −35.9515 −1.31716
\(746\) 10.7457 + 33.0718i 0.393427 + 1.21085i
\(747\) 2.58443 7.95406i 0.0945593 0.291024i
\(748\) −2.68098 + 1.94784i −0.0980262 + 0.0712202i
\(749\) −11.3179 −0.413548
\(750\) 57.5473 2.10133
\(751\) 6.21621 4.51634i 0.226833 0.164804i −0.468564 0.883429i \(-0.655229\pi\)
0.695397 + 0.718626i \(0.255229\pi\)
\(752\) −139.949 101.679i −5.10342 3.70785i
\(753\) −29.1301 21.1642i −1.06156 0.771268i
\(754\) 5.26797 + 16.2131i 0.191848 + 0.590447i
\(755\) 20.8636 15.1583i 0.759303 0.551666i
\(756\) 26.2362 + 80.7467i 0.954201 + 2.93673i
\(757\) −0.865097 + 2.66249i −0.0314425 + 0.0967700i −0.965546 0.260232i \(-0.916201\pi\)
0.934104 + 0.357002i \(0.116201\pi\)
\(758\) −17.1111 12.4320i −0.621504 0.451549i
\(759\) 6.20172 19.0869i 0.225108 0.692811i
\(760\) 39.7847 122.445i 1.44314 4.44154i
\(761\) 9.09256 + 6.60613i 0.329605 + 0.239472i 0.740263 0.672317i \(-0.234701\pi\)
−0.410658 + 0.911789i \(0.634701\pi\)
\(762\) −43.4895 + 133.847i −1.57546 + 4.84877i
\(763\) −6.13294 18.8752i −0.222027 0.683330i
\(764\) −19.9307 + 14.4805i −0.721066 + 0.523885i
\(765\) 0.79428