Properties

Label 630.2.t.b.551.1
Level 630
Weight 2
Character 630.551
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 551.1
Character \(\chi\) \(=\) 630.551
Dual form 630.2.t.b.311.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(-1.71805 + 0.219817i) q^{3} +(0.500000 - 0.866025i) q^{4} -1.00000 q^{5} +(1.37796 - 1.04939i) q^{6} +(-2.11261 + 1.59276i) q^{7} +1.00000i q^{8} +(2.90336 - 0.755312i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(-1.71805 + 0.219817i) q^{3} +(0.500000 - 0.866025i) q^{4} -1.00000 q^{5} +(1.37796 - 1.04939i) q^{6} +(-2.11261 + 1.59276i) q^{7} +1.00000i q^{8} +(2.90336 - 0.755312i) q^{9} +(0.866025 - 0.500000i) q^{10} +0.767810i q^{11} +(-0.668655 + 1.59778i) q^{12} +(-3.78024 + 2.18252i) q^{13} +(1.03319 - 2.43568i) q^{14} +(1.71805 - 0.219817i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.15157 - 1.99457i) q^{17} +(-2.13673 + 2.10580i) q^{18} +(4.19206 + 2.42029i) q^{19} +(-0.500000 + 0.866025i) q^{20} +(3.27944 - 3.20083i) q^{21} +(-0.383905 - 0.664943i) q^{22} -5.59780i q^{23} +(-0.219817 - 1.71805i) q^{24} +1.00000 q^{25} +(2.18252 - 3.78024i) q^{26} +(-4.82207 + 1.93587i) q^{27} +(0.323069 + 2.62595i) q^{28} +(-9.12141 - 5.26625i) q^{29} +(-1.37796 + 1.04939i) q^{30} +(6.97950 + 4.02962i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-0.168778 - 1.31913i) q^{33} +(1.99457 + 1.15157i) q^{34} +(2.11261 - 1.59276i) q^{35} +(0.797561 - 2.89204i) q^{36} +(4.15617 - 7.19869i) q^{37} -4.84057 q^{38} +(6.01487 - 4.58064i) q^{39} -1.00000i q^{40} +(-2.65381 - 4.59654i) q^{41} +(-1.23966 + 4.41172i) q^{42} +(5.94724 - 10.3009i) q^{43} +(0.664943 + 0.383905i) q^{44} +(-2.90336 + 0.755312i) q^{45} +(2.79890 + 4.84784i) q^{46} +(3.23073 + 5.59578i) q^{47} +(1.04939 + 1.37796i) q^{48} +(1.92622 - 6.72976i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(2.41689 + 3.17363i) q^{51} +4.36505i q^{52} +(6.48067 - 3.74161i) q^{53} +(3.20810 - 4.08755i) q^{54} -0.767810i q^{55} +(-1.59276 - 2.11261i) q^{56} +(-7.73417 - 3.23668i) q^{57} +10.5325 q^{58} +(5.71736 - 9.90276i) q^{59} +(0.668655 - 1.59778i) q^{60} +(-8.22722 + 4.74999i) q^{61} -8.05924 q^{62} +(-4.93063 + 6.22004i) q^{63} -1.00000 q^{64} +(3.78024 - 2.18252i) q^{65} +(0.805733 + 1.05801i) q^{66} +(-6.85237 + 11.8687i) q^{67} -2.30313 q^{68} +(1.23049 + 9.61728i) q^{69} +(-1.03319 + 2.43568i) q^{70} -7.50583i q^{71} +(0.755312 + 2.90336i) q^{72} +(10.1185 - 5.84190i) q^{73} +8.31233i q^{74} +(-1.71805 + 0.219817i) q^{75} +(4.19206 - 2.42029i) q^{76} +(-1.22294 - 1.62208i) q^{77} +(-2.91871 + 6.97439i) q^{78} +(0.555218 + 0.961666i) q^{79} +(0.500000 + 0.866025i) q^{80} +(7.85901 - 4.38589i) q^{81} +(4.59654 + 2.65381i) q^{82} +(-0.254578 + 0.440942i) q^{83} +(-1.13228 - 4.44049i) q^{84} +(1.15157 + 1.99457i) q^{85} +11.8945i q^{86} +(16.8286 + 7.04261i) q^{87} -0.767810 q^{88} +(2.80167 - 4.85263i) q^{89} +(2.13673 - 2.10580i) q^{90} +(4.50993 - 10.6318i) q^{91} +(-4.84784 - 2.79890i) q^{92} +(-12.8769 - 5.38885i) q^{93} +(-5.59578 - 3.23073i) q^{94} +(-4.19206 - 2.42029i) q^{95} +(-1.59778 - 0.668655i) q^{96} +(-7.61423 - 4.39608i) q^{97} +(1.69673 + 6.79125i) q^{98} +(0.579937 + 2.22923i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) −1.71805 + 0.219817i −0.991914 + 0.126912i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −1.00000 −0.447214
\(6\) 1.37796 1.04939i 0.562551 0.428412i
\(7\) −2.11261 + 1.59276i −0.798491 + 0.602007i
\(8\) 1.00000i 0.353553i
\(9\) 2.90336 0.755312i 0.967787 0.251771i
\(10\) 0.866025 0.500000i 0.273861 0.158114i
\(11\) 0.767810i 0.231504i 0.993278 + 0.115752i \(0.0369277\pi\)
−0.993278 + 0.115752i \(0.963072\pi\)
\(12\) −0.668655 + 1.59778i −0.193024 + 0.461239i
\(13\) −3.78024 + 2.18252i −1.04845 + 0.605323i −0.922215 0.386677i \(-0.873623\pi\)
−0.126236 + 0.992000i \(0.540290\pi\)
\(14\) 1.03319 2.43568i 0.276132 0.650962i
\(15\) 1.71805 0.219817i 0.443597 0.0567566i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.15157 1.99457i −0.279296 0.483755i 0.691914 0.721980i \(-0.256768\pi\)
−0.971210 + 0.238225i \(0.923434\pi\)
\(18\) −2.13673 + 2.10580i −0.503632 + 0.496342i
\(19\) 4.19206 + 2.42029i 0.961725 + 0.555252i 0.896703 0.442632i \(-0.145955\pi\)
0.0650212 + 0.997884i \(0.479288\pi\)
\(20\) −0.500000 + 0.866025i −0.111803 + 0.193649i
\(21\) 3.27944 3.20083i 0.715632 0.698477i
\(22\) −0.383905 0.664943i −0.0818489 0.141766i
\(23\) 5.59780i 1.16722i −0.812033 0.583611i \(-0.801639\pi\)
0.812033 0.583611i \(-0.198361\pi\)
\(24\) −0.219817 1.71805i −0.0448700 0.350695i
\(25\) 1.00000 0.200000
\(26\) 2.18252 3.78024i 0.428028 0.741367i
\(27\) −4.82207 + 1.93587i −0.928009 + 0.372558i
\(28\) 0.323069 + 2.62595i 0.0610542 + 0.496258i
\(29\) −9.12141 5.26625i −1.69380 0.977918i −0.951397 0.307968i \(-0.900351\pi\)
−0.742407 0.669949i \(-0.766316\pi\)
\(30\) −1.37796 + 1.04939i −0.251580 + 0.191592i
\(31\) 6.97950 + 4.02962i 1.25356 + 0.723741i 0.971814 0.235749i \(-0.0757544\pi\)
0.281742 + 0.959490i \(0.409088\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) −0.168778 1.31913i −0.0293805 0.229632i
\(34\) 1.99457 + 1.15157i 0.342066 + 0.197492i
\(35\) 2.11261 1.59276i 0.357096 0.269226i
\(36\) 0.797561 2.89204i 0.132927 0.482007i
\(37\) 4.15617 7.19869i 0.683269 1.18346i −0.290708 0.956812i \(-0.593891\pi\)
0.973977 0.226645i \(-0.0727759\pi\)
\(38\) −4.84057 −0.785245
\(39\) 6.01487 4.58064i 0.963151 0.733489i
\(40\) 1.00000i 0.158114i
\(41\) −2.65381 4.59654i −0.414456 0.717859i 0.580915 0.813964i \(-0.302695\pi\)
−0.995371 + 0.0961053i \(0.969361\pi\)
\(42\) −1.23966 + 4.41172i −0.191284 + 0.680742i
\(43\) 5.94724 10.3009i 0.906945 1.57087i 0.0886598 0.996062i \(-0.471742\pi\)
0.818285 0.574813i \(-0.194925\pi\)
\(44\) 0.664943 + 0.383905i 0.100244 + 0.0578759i
\(45\) −2.90336 + 0.755312i −0.432807 + 0.112595i
\(46\) 2.79890 + 4.84784i 0.412675 + 0.714775i
\(47\) 3.23073 + 5.59578i 0.471250 + 0.816229i 0.999459 0.0328853i \(-0.0104696\pi\)
−0.528209 + 0.849114i \(0.677136\pi\)
\(48\) 1.04939 + 1.37796i 0.151466 + 0.198892i
\(49\) 1.92622 6.72976i 0.275174 0.961394i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 2.41689 + 3.17363i 0.338432 + 0.444397i
\(52\) 4.36505i 0.605323i
\(53\) 6.48067 3.74161i 0.890188 0.513950i 0.0161839 0.999869i \(-0.494848\pi\)
0.874004 + 0.485919i \(0.161515\pi\)
\(54\) 3.20810 4.08755i 0.436568 0.556245i
\(55\) 0.767810i 0.103532i
\(56\) −1.59276 2.11261i −0.212842 0.282309i
\(57\) −7.73417 3.23668i −1.02442 0.428708i
\(58\) 10.5325 1.38298
\(59\) 5.71736 9.90276i 0.744337 1.28923i −0.206167 0.978517i \(-0.566099\pi\)
0.950504 0.310712i \(-0.100568\pi\)
\(60\) 0.668655 1.59778i 0.0863230 0.206272i
\(61\) −8.22722 + 4.74999i −1.05339 + 0.608174i −0.923596 0.383368i \(-0.874764\pi\)
−0.129792 + 0.991541i \(0.541431\pi\)
\(62\) −8.05924 −1.02352
\(63\) −4.93063 + 6.22004i −0.621201 + 0.783651i
\(64\) −1.00000 −0.125000
\(65\) 3.78024 2.18252i 0.468881 0.270709i
\(66\) 0.805733 + 1.05801i 0.0991788 + 0.130232i
\(67\) −6.85237 + 11.8687i −0.837151 + 1.44999i 0.0551168 + 0.998480i \(0.482447\pi\)
−0.892267 + 0.451507i \(0.850886\pi\)
\(68\) −2.30313 −0.279296
\(69\) 1.23049 + 9.61728i 0.148134 + 1.15778i
\(70\) −1.03319 + 2.43568i −0.123490 + 0.291119i
\(71\) 7.50583i 0.890779i −0.895337 0.445389i \(-0.853065\pi\)
0.895337 0.445389i \(-0.146935\pi\)
\(72\) 0.755312 + 2.90336i 0.0890144 + 0.342164i
\(73\) 10.1185 5.84190i 1.18428 0.683742i 0.227277 0.973830i \(-0.427018\pi\)
0.957000 + 0.290088i \(0.0936845\pi\)
\(74\) 8.31233i 0.966289i
\(75\) −1.71805 + 0.219817i −0.198383 + 0.0253823i
\(76\) 4.19206 2.42029i 0.480862 0.277626i
\(77\) −1.22294 1.62208i −0.139367 0.184853i
\(78\) −2.91871 + 6.97439i −0.330479 + 0.789694i
\(79\) 0.555218 + 0.961666i 0.0624669 + 0.108196i 0.895568 0.444926i \(-0.146770\pi\)
−0.833101 + 0.553121i \(0.813437\pi\)
\(80\) 0.500000 + 0.866025i 0.0559017 + 0.0968246i
\(81\) 7.85901 4.38589i 0.873223 0.487321i
\(82\) 4.59654 + 2.65381i 0.507603 + 0.293065i
\(83\) −0.254578 + 0.440942i −0.0279435 + 0.0483996i −0.879659 0.475605i \(-0.842229\pi\)
0.851715 + 0.524005i \(0.175563\pi\)
\(84\) −1.13228 4.44049i −0.123541 0.484497i
\(85\) 1.15157 + 1.99457i 0.124905 + 0.216342i
\(86\) 11.8945i 1.28261i
\(87\) 16.8286 + 7.04261i 1.80422 + 0.755047i
\(88\) −0.767810 −0.0818489
\(89\) 2.80167 4.85263i 0.296976 0.514378i −0.678467 0.734631i \(-0.737355\pi\)
0.975443 + 0.220254i \(0.0706885\pi\)
\(90\) 2.13673 2.10580i 0.225231 0.221971i
\(91\) 4.50993 10.6318i 0.472769 1.11452i
\(92\) −4.84784 2.79890i −0.505422 0.291806i
\(93\) −12.8769 5.38885i −1.33527 0.558798i
\(94\) −5.59578 3.23073i −0.577161 0.333224i
\(95\) −4.19206 2.42029i −0.430096 0.248316i
\(96\) −1.59778 0.668655i −0.163073 0.0682443i
\(97\) −7.61423 4.39608i −0.773107 0.446354i 0.0608745 0.998145i \(-0.480611\pi\)
−0.833982 + 0.551792i \(0.813944\pi\)
\(98\) 1.69673 + 6.79125i 0.171395 + 0.686020i
\(99\) 0.579937 + 2.22923i 0.0582858 + 0.224046i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) −11.8515 −1.17927 −0.589633 0.807671i \(-0.700728\pi\)
−0.589633 + 0.807671i \(0.700728\pi\)
\(102\) −3.67990 1.54000i −0.364365 0.152483i
\(103\) 0.878126i 0.0865244i −0.999064 0.0432622i \(-0.986225\pi\)
0.999064 0.0432622i \(-0.0137751\pi\)
\(104\) −2.18252 3.78024i −0.214014 0.370683i
\(105\) −3.27944 + 3.20083i −0.320040 + 0.312369i
\(106\) −3.74161 + 6.48067i −0.363418 + 0.629458i
\(107\) 5.55184 + 3.20536i 0.536717 + 0.309874i 0.743747 0.668461i \(-0.233047\pi\)
−0.207031 + 0.978334i \(0.566380\pi\)
\(108\) −0.734525 + 5.14397i −0.0706797 + 0.494979i
\(109\) −4.36380 7.55832i −0.417976 0.723955i 0.577760 0.816207i \(-0.303927\pi\)
−0.995736 + 0.0922513i \(0.970594\pi\)
\(110\) 0.383905 + 0.664943i 0.0366039 + 0.0633999i
\(111\) −5.55808 + 13.2813i −0.527550 + 1.26060i
\(112\) 2.43568 + 1.03319i 0.230150 + 0.0976273i
\(113\) −0.697613 + 0.402767i −0.0656259 + 0.0378891i −0.532454 0.846459i \(-0.678730\pi\)
0.466828 + 0.884348i \(0.345397\pi\)
\(114\) 8.31633 1.06404i 0.778895 0.0996567i
\(115\) 5.59780i 0.521998i
\(116\) −9.12141 + 5.26625i −0.846902 + 0.488959i
\(117\) −9.32692 + 9.19192i −0.862274 + 0.849793i
\(118\) 11.4347i 1.05265i
\(119\) 5.60969 + 2.37958i 0.514239 + 0.218135i
\(120\) 0.219817 + 1.71805i 0.0200665 + 0.156835i
\(121\) 10.4105 0.946406
\(122\) 4.74999 8.22722i 0.430044 0.744857i
\(123\) 5.56977 + 7.31371i 0.502209 + 0.659455i
\(124\) 6.97950 4.02962i 0.626778 0.361870i
\(125\) −1.00000 −0.0894427
\(126\) 1.16003 7.85203i 0.103344 0.699514i
\(127\) −12.6479 −1.12232 −0.561162 0.827706i \(-0.689645\pi\)
−0.561162 + 0.827706i \(0.689645\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) −7.95330 + 19.0047i −0.700249 + 1.67327i
\(130\) −2.18252 + 3.78024i −0.191420 + 0.331549i
\(131\) −9.92603 −0.867241 −0.433620 0.901096i \(-0.642764\pi\)
−0.433620 + 0.901096i \(0.642764\pi\)
\(132\) −1.22679 0.513400i −0.106779 0.0446858i
\(133\) −12.7111 + 1.56384i −1.10219 + 0.135602i
\(134\) 13.7047i 1.18391i
\(135\) 4.82207 1.93587i 0.415018 0.166613i
\(136\) 1.99457 1.15157i 0.171033 0.0987461i
\(137\) 14.3935i 1.22972i 0.788637 + 0.614859i \(0.210787\pi\)
−0.788637 + 0.614859i \(0.789213\pi\)
\(138\) −5.87428 7.71356i −0.500052 0.656622i
\(139\) −8.82052 + 5.09253i −0.748147 + 0.431943i −0.825024 0.565098i \(-0.808838\pi\)
0.0768772 + 0.997041i \(0.475505\pi\)
\(140\) −0.323069 2.62595i −0.0273043 0.221933i
\(141\) −6.78059 8.90364i −0.571028 0.749822i
\(142\) 3.75292 + 6.50024i 0.314938 + 0.545488i
\(143\) −1.67576 2.90251i −0.140135 0.242720i
\(144\) −2.10580 2.13673i −0.175483 0.178061i
\(145\) 9.12141 + 5.26625i 0.757492 + 0.437338i
\(146\) −5.84190 + 10.1185i −0.483479 + 0.837410i
\(147\) −1.83001 + 11.9855i −0.150937 + 0.988543i
\(148\) −4.15617 7.19869i −0.341635 0.591729i
\(149\) 8.95303i 0.733461i 0.930327 + 0.366730i \(0.119523\pi\)
−0.930327 + 0.366730i \(0.880477\pi\)
\(150\) 1.37796 1.04939i 0.112510 0.0856823i
\(151\) −5.00718 −0.407479 −0.203739 0.979025i \(-0.565310\pi\)
−0.203739 + 0.979025i \(0.565310\pi\)
\(152\) −2.42029 + 4.19206i −0.196311 + 0.340021i
\(153\) −4.84994 4.92117i −0.392094 0.397853i
\(154\) 1.87014 + 0.793294i 0.150700 + 0.0639255i
\(155\) −6.97950 4.02962i −0.560607 0.323667i
\(156\) −0.959514 7.49935i −0.0768226 0.600429i
\(157\) −2.81741 1.62663i −0.224854 0.129819i 0.383342 0.923607i \(-0.374773\pi\)
−0.608196 + 0.793787i \(0.708106\pi\)
\(158\) −0.961666 0.555218i −0.0765060 0.0441708i
\(159\) −10.3116 + 7.85283i −0.817764 + 0.622770i
\(160\) −0.866025 0.500000i −0.0684653 0.0395285i
\(161\) 8.91596 + 11.8260i 0.702676 + 0.932016i
\(162\) −4.61315 + 7.72779i −0.362444 + 0.607153i
\(163\) 2.40931 4.17306i 0.188712 0.326859i −0.756109 0.654446i \(-0.772902\pi\)
0.944821 + 0.327587i \(0.106235\pi\)
\(164\) −5.30763 −0.414456
\(165\) 0.168778 + 1.31913i 0.0131394 + 0.102694i
\(166\) 0.509156i 0.0395181i
\(167\) −4.97259 8.61278i −0.384791 0.666477i 0.606949 0.794740i \(-0.292393\pi\)
−0.991740 + 0.128263i \(0.959060\pi\)
\(168\) 3.20083 + 3.27944i 0.246949 + 0.253014i
\(169\) 3.02683 5.24262i 0.232833 0.403278i
\(170\) −1.99457 1.15157i −0.152977 0.0883212i
\(171\) 13.9991 + 3.86065i 1.07054 + 0.295231i
\(172\) −5.94724 10.3009i −0.453472 0.785437i
\(173\) −8.31317 14.3988i −0.632039 1.09472i −0.987134 0.159893i \(-0.948885\pi\)
0.355096 0.934830i \(-0.384448\pi\)
\(174\) −18.0953 + 2.31523i −1.37180 + 0.175517i
\(175\) −2.11261 + 1.59276i −0.159698 + 0.120401i
\(176\) 0.664943 0.383905i 0.0501220 0.0289379i
\(177\) −7.64589 + 18.2702i −0.574700 + 1.37327i
\(178\) 5.60333i 0.419988i
\(179\) 4.07453 2.35243i 0.304545 0.175829i −0.339938 0.940448i \(-0.610406\pi\)
0.644483 + 0.764619i \(0.277073\pi\)
\(180\) −0.797561 + 2.89204i −0.0594467 + 0.215560i
\(181\) 8.33408i 0.619467i 0.950823 + 0.309734i \(0.100240\pi\)
−0.950823 + 0.309734i \(0.899760\pi\)
\(182\) 1.41021 + 11.4624i 0.104532 + 0.849650i
\(183\) 13.0906 9.96918i 0.967685 0.736943i
\(184\) 5.59780 0.412675
\(185\) −4.15617 + 7.19869i −0.305567 + 0.529258i
\(186\) 13.8461 1.77156i 1.01525 0.129897i
\(187\) 1.53145 0.884185i 0.111991 0.0646580i
\(188\) 6.46146 0.471250
\(189\) 7.10377 11.7702i 0.516723 0.856152i
\(190\) 4.84057 0.351172
\(191\) 3.28474 1.89645i 0.237676 0.137222i −0.376432 0.926444i \(-0.622849\pi\)
0.614108 + 0.789222i \(0.289516\pi\)
\(192\) 1.71805 0.219817i 0.123989 0.0158640i
\(193\) 10.7480 18.6160i 0.773656 1.34001i −0.161892 0.986809i \(-0.551759\pi\)
0.935547 0.353202i \(-0.114907\pi\)
\(194\) 8.79215 0.631240
\(195\) −6.01487 + 4.58064i −0.430734 + 0.328026i
\(196\) −4.86503 5.03304i −0.347502 0.359503i
\(197\) 13.3908i 0.954054i 0.878889 + 0.477027i \(0.158286\pi\)
−0.878889 + 0.477027i \(0.841714\pi\)
\(198\) −1.61686 1.64060i −0.114905 0.116592i
\(199\) 0.485507 0.280308i 0.0344167 0.0198705i −0.482693 0.875790i \(-0.660341\pi\)
0.517110 + 0.855919i \(0.327008\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) 9.16375 21.8972i 0.646361 1.54451i
\(202\) 10.2637 5.92574i 0.722150 0.416933i
\(203\) 27.6578 3.40272i 1.94120 0.238824i
\(204\) 3.95689 0.506269i 0.277038 0.0354459i
\(205\) 2.65381 + 4.59654i 0.185350 + 0.321036i
\(206\) 0.439063 + 0.760480i 0.0305910 + 0.0529851i
\(207\) −4.22809 16.2524i −0.293872 1.12962i
\(208\) 3.78024 + 2.18252i 0.262113 + 0.151331i
\(209\) −1.85832 + 3.21871i −0.128543 + 0.222643i
\(210\) 1.23966 4.41172i 0.0855450 0.304437i
\(211\) 1.76537 + 3.05771i 0.121533 + 0.210501i 0.920372 0.391043i \(-0.127886\pi\)
−0.798839 + 0.601544i \(0.794552\pi\)
\(212\) 7.48323i 0.513950i
\(213\) 1.64991 + 12.8954i 0.113050 + 0.883576i
\(214\) −6.41071 −0.438227
\(215\) −5.94724 + 10.3009i −0.405598 + 0.702516i
\(216\) −1.93587 4.82207i −0.131719 0.328101i
\(217\) −21.1632 + 2.60369i −1.43665 + 0.176750i
\(218\) 7.55832 + 4.36380i 0.511914 + 0.295554i
\(219\) −16.0998 + 12.2609i −1.08793 + 0.828512i
\(220\) −0.664943 0.383905i −0.0448305 0.0258829i
\(221\) 8.70641 + 5.02665i 0.585656 + 0.338129i
\(222\) −1.82719 14.2810i −0.122633 0.958475i
\(223\) 22.1791 + 12.8051i 1.48522 + 0.857495i 0.999859 0.0168159i \(-0.00535291\pi\)
0.485366 + 0.874311i \(0.338686\pi\)
\(224\) −2.62595 + 0.323069i −0.175454 + 0.0215859i
\(225\) 2.90336 0.755312i 0.193557 0.0503542i
\(226\) 0.402767 0.697613i 0.0267917 0.0464045i
\(227\) 11.1386 0.739295 0.369647 0.929172i \(-0.379479\pi\)
0.369647 + 0.929172i \(0.379479\pi\)
\(228\) −6.67013 + 5.07965i −0.441740 + 0.336408i
\(229\) 3.80842i 0.251668i −0.992051 0.125834i \(-0.959839\pi\)
0.992051 0.125834i \(-0.0401606\pi\)
\(230\) −2.79890 4.84784i −0.184554 0.319657i
\(231\) 2.45763 + 2.51799i 0.161700 + 0.165671i
\(232\) 5.26625 9.12141i 0.345746 0.598850i
\(233\) 2.04230 + 1.17912i 0.133795 + 0.0772468i 0.565404 0.824814i \(-0.308720\pi\)
−0.431608 + 0.902061i \(0.642054\pi\)
\(234\) 3.48139 12.6239i 0.227586 0.825250i
\(235\) −3.23073 5.59578i −0.210749 0.365029i
\(236\) −5.71736 9.90276i −0.372168 0.644615i
\(237\) −1.16528 1.53014i −0.0756931 0.0993932i
\(238\) −6.04792 + 0.744070i −0.392029 + 0.0482309i
\(239\) 10.1968 5.88712i 0.659576 0.380806i −0.132540 0.991178i \(-0.542313\pi\)
0.792115 + 0.610372i \(0.208980\pi\)
\(240\) −1.04939 1.37796i −0.0677378 0.0889471i
\(241\) 18.8137i 1.21189i −0.795505 0.605947i \(-0.792794\pi\)
0.795505 0.605947i \(-0.207206\pi\)
\(242\) −9.01573 + 5.20523i −0.579553 + 0.334605i
\(243\) −12.5380 + 9.26270i −0.804315 + 0.594203i
\(244\) 9.49997i 0.608174i
\(245\) −1.92622 + 6.72976i −0.123062 + 0.429949i
\(246\) −8.48042 3.54897i −0.540692 0.226274i
\(247\) −21.1293 −1.34443
\(248\) −4.02962 + 6.97950i −0.255881 + 0.443199i
\(249\) 0.340450 0.813518i 0.0215751 0.0515546i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) −3.35759 −0.211929 −0.105965 0.994370i \(-0.533793\pi\)
−0.105965 + 0.994370i \(0.533793\pi\)
\(252\) 2.92140 + 7.38007i 0.184031 + 0.464901i
\(253\) 4.29805 0.270216
\(254\) 10.9534 6.32397i 0.687280 0.396801i
\(255\) −2.41689 3.17363i −0.151351 0.198741i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 11.3362 0.707132 0.353566 0.935410i \(-0.384969\pi\)
0.353566 + 0.935410i \(0.384969\pi\)
\(258\) −2.61461 20.4352i −0.162779 1.27224i
\(259\) 2.68545 + 21.8278i 0.166866 + 1.35631i
\(260\) 4.36505i 0.270709i
\(261\) −30.4604 8.40030i −1.88545 0.519966i
\(262\) 8.59619 4.96301i 0.531074 0.306616i
\(263\) 25.7820i 1.58978i −0.606750 0.794892i \(-0.707527\pi\)
0.606750 0.794892i \(-0.292473\pi\)
\(264\) 1.31913 0.168778i 0.0811870 0.0103876i
\(265\) −6.48067 + 3.74161i −0.398104 + 0.229846i
\(266\) 10.2262 7.70988i 0.627011 0.472723i
\(267\) −3.74670 + 8.95289i −0.229294 + 0.547908i
\(268\) 6.85237 + 11.8687i 0.418575 + 0.724994i
\(269\) 2.94884 + 5.10754i 0.179794 + 0.311412i 0.941810 0.336146i \(-0.109124\pi\)
−0.762016 + 0.647558i \(0.775790\pi\)
\(270\) −3.20810 + 4.08755i −0.195239 + 0.248760i
\(271\) −8.76680 5.06151i −0.532545 0.307465i 0.209507 0.977807i \(-0.432814\pi\)
−0.742052 + 0.670342i \(0.766147\pi\)
\(272\) −1.15157 + 1.99457i −0.0698240 + 0.120939i
\(273\) −5.41120 + 19.2574i −0.327501 + 1.16551i
\(274\) −7.19674 12.4651i −0.434771 0.753045i
\(275\) 0.767810i 0.0463007i
\(276\) 8.94405 + 3.74300i 0.538369 + 0.225302i
\(277\) 10.3900 0.624277 0.312139 0.950037i \(-0.398955\pi\)
0.312139 + 0.950037i \(0.398955\pi\)
\(278\) 5.09253 8.82052i 0.305430 0.529020i
\(279\) 23.3076 + 6.42773i 1.39539 + 0.384818i
\(280\) 1.59276 + 2.11261i 0.0951857 + 0.126252i
\(281\) −14.3149 8.26473i −0.853957 0.493032i 0.00802696 0.999968i \(-0.497445\pi\)
−0.861984 + 0.506935i \(0.830778\pi\)
\(282\) 10.3240 + 4.32049i 0.614784 + 0.257281i
\(283\) −9.00009 5.19621i −0.535000 0.308882i 0.208050 0.978118i \(-0.433288\pi\)
−0.743050 + 0.669236i \(0.766622\pi\)
\(284\) −6.50024 3.75292i −0.385718 0.222695i
\(285\) 7.73417 + 3.23668i 0.458133 + 0.191724i
\(286\) 2.90251 + 1.67576i 0.171629 + 0.0990901i
\(287\) 12.9277 + 5.48379i 0.763095 + 0.323698i
\(288\) 2.89204 + 0.797561i 0.170415 + 0.0469967i
\(289\) 5.84779 10.1287i 0.343987 0.595804i
\(290\) −10.5325 −0.618490
\(291\) 14.0479 + 5.87892i 0.823504 + 0.344628i
\(292\) 11.6838i 0.683742i
\(293\) −12.7786 22.1332i −0.746533 1.29303i −0.949475 0.313843i \(-0.898384\pi\)
0.202942 0.979191i \(-0.434950\pi\)
\(294\) −4.40789 11.2947i −0.257073 0.658721i
\(295\) −5.71736 + 9.90276i −0.332878 + 0.576561i
\(296\) 7.19869 + 4.15617i 0.418415 + 0.241572i
\(297\) −1.48638 3.70244i −0.0862486 0.214837i
\(298\) −4.47651 7.75355i −0.259318 0.449151i
\(299\) 12.2173 + 21.1611i 0.706547 + 1.22378i
\(300\) −0.668655 + 1.59778i −0.0386048 + 0.0922479i
\(301\) 3.84273 + 31.2343i 0.221491 + 1.80032i
\(302\) 4.33635 2.50359i 0.249529 0.144065i
\(303\) 20.3614 2.60516i 1.16973 0.149662i
\(304\) 4.84057i 0.277626i
\(305\) 8.22722 4.74999i 0.471089 0.271983i
\(306\) 6.66076 + 1.83689i 0.380770 + 0.105008i
\(307\) 9.33336i 0.532683i 0.963879 + 0.266342i \(0.0858149\pi\)
−0.963879 + 0.266342i \(0.914185\pi\)
\(308\) −2.01623 + 0.248055i −0.114886 + 0.0141343i
\(309\) 0.193027 + 1.50866i 0.0109809 + 0.0858247i
\(310\) 8.05924 0.457734
\(311\) −2.68289 + 4.64689i −0.152132 + 0.263501i −0.932011 0.362429i \(-0.881947\pi\)
0.779879 + 0.625931i \(0.215281\pi\)
\(312\) 4.58064 + 6.01487i 0.259328 + 0.340525i
\(313\) 22.0455 12.7280i 1.24608 0.719427i 0.275758 0.961227i \(-0.411071\pi\)
0.970326 + 0.241800i \(0.0777378\pi\)
\(314\) 3.25327 0.183592
\(315\) 4.93063 6.22004i 0.277809 0.350460i
\(316\) 1.11044 0.0624669
\(317\) 6.48372 3.74338i 0.364162 0.210249i −0.306743 0.951792i \(-0.599239\pi\)
0.670905 + 0.741543i \(0.265906\pi\)
\(318\) 5.00370 11.9566i 0.280594 0.670490i
\(319\) 4.04348 7.00351i 0.226391 0.392121i
\(320\) 1.00000 0.0559017
\(321\) −10.2429 4.28656i −0.571703 0.239252i
\(322\) −13.6344 5.78360i −0.759817 0.322307i
\(323\) 11.1485i 0.620319i
\(324\) 0.131212 8.99904i 0.00728955 0.499947i
\(325\) −3.78024 + 2.18252i −0.209690 + 0.121065i
\(326\) 4.81863i 0.266879i
\(327\) 9.15865 + 12.0263i 0.506474 + 0.665056i
\(328\) 4.59654 2.65381i 0.253801 0.146532i
\(329\) −15.7380 6.67592i −0.867665 0.368055i
\(330\) −0.805733 1.05801i −0.0443541 0.0582417i
\(331\) −3.71433 6.43342i −0.204158 0.353613i 0.745706 0.666275i \(-0.232112\pi\)
−0.949864 + 0.312663i \(0.898779\pi\)
\(332\) 0.254578 + 0.440942i 0.0139718 + 0.0241998i
\(333\) 6.62959 24.0396i 0.363299 1.31736i
\(334\) 8.61278 + 4.97259i 0.471270 + 0.272088i
\(335\) 6.85237 11.8687i 0.374385 0.648454i
\(336\) −4.41172 1.23966i −0.240679 0.0676293i
\(337\) −12.9171 22.3731i −0.703641 1.21874i −0.967180 0.254093i \(-0.918223\pi\)
0.263539 0.964649i \(-0.415110\pi\)
\(338\) 6.05365i 0.329275i
\(339\) 1.11000 0.845320i 0.0602867 0.0459115i
\(340\) 2.30313 0.124905
\(341\) −3.09398 + 5.35894i −0.167549 + 0.290203i
\(342\) −14.0539 + 3.65615i −0.759950 + 0.197702i
\(343\) 6.64956 + 17.2854i 0.359043 + 0.933321i
\(344\) 10.3009 + 5.94724i 0.555388 + 0.320653i
\(345\) −1.23049 9.61728i −0.0662476 0.517777i
\(346\) 14.3988 + 8.31317i 0.774086 + 0.446919i
\(347\) 15.9560 + 9.21220i 0.856562 + 0.494537i 0.862860 0.505444i \(-0.168671\pi\)
−0.00629718 + 0.999980i \(0.502004\pi\)
\(348\) 14.5134 11.0527i 0.777999 0.592487i
\(349\) −1.37452 0.793577i −0.0735761 0.0424792i 0.462761 0.886483i \(-0.346859\pi\)
−0.536337 + 0.844004i \(0.680192\pi\)
\(350\) 1.03319 2.43568i 0.0552264 0.130192i
\(351\) 14.0035 17.8424i 0.747453 0.952355i
\(352\) −0.383905 + 0.664943i −0.0204622 + 0.0354416i
\(353\) −9.20537 −0.489952 −0.244976 0.969529i \(-0.578780\pi\)
−0.244976 + 0.969529i \(0.578780\pi\)
\(354\) −2.51355 19.6454i −0.133594 1.04414i
\(355\) 7.50583i 0.398368i
\(356\) −2.80167 4.85263i −0.148488 0.257189i
\(357\) −10.1608 2.85511i −0.537765 0.151109i
\(358\) −2.35243 + 4.07453i −0.124330 + 0.215346i
\(359\) 22.3751 + 12.9183i 1.18091 + 0.681801i 0.956226 0.292629i \(-0.0945302\pi\)
0.224689 + 0.974431i \(0.427864\pi\)
\(360\) −0.755312 2.90336i −0.0398085 0.153021i
\(361\) 2.21558 + 3.83750i 0.116610 + 0.201974i
\(362\) −4.16704 7.21752i −0.219015 0.379345i
\(363\) −17.8857 + 2.28840i −0.938754 + 0.120110i
\(364\) −6.95248 9.22163i −0.364409 0.483345i
\(365\) −10.1185 + 5.84190i −0.529625 + 0.305779i
\(366\) −6.35221 + 15.1789i −0.332035 + 0.793412i
\(367\) 22.2564i 1.16178i −0.813984 0.580888i \(-0.802706\pi\)
0.813984 0.580888i \(-0.197294\pi\)
\(368\) −4.84784 + 2.79890i −0.252711 + 0.145903i
\(369\) −11.1768 11.3410i −0.581841 0.590386i
\(370\) 8.31233i 0.432137i
\(371\) −7.73160 + 18.2267i −0.401405 + 0.946284i
\(372\) −11.1053 + 8.45728i −0.575784 + 0.438490i
\(373\) −32.7801 −1.69729 −0.848644 0.528965i \(-0.822580\pi\)
−0.848644 + 0.528965i \(0.822580\pi\)
\(374\) −0.884185 + 1.53145i −0.0457201 + 0.0791896i
\(375\) 1.71805 0.219817i 0.0887195 0.0113513i
\(376\) −5.59578 + 3.23073i −0.288581 + 0.166612i
\(377\) 45.9749 2.36783
\(378\) −0.266971 + 13.7451i −0.0137315 + 0.706973i
\(379\) −26.7133 −1.37217 −0.686085 0.727522i \(-0.740672\pi\)
−0.686085 + 0.727522i \(0.740672\pi\)
\(380\) −4.19206 + 2.42029i −0.215048 + 0.124158i
\(381\) 21.7297 2.78024i 1.11325 0.142436i
\(382\) −1.89645 + 3.28474i −0.0970307 + 0.168062i
\(383\) −1.81734 −0.0928615 −0.0464307 0.998922i \(-0.514785\pi\)
−0.0464307 + 0.998922i \(0.514785\pi\)
\(384\) −1.37796 + 1.04939i −0.0703188 + 0.0535515i
\(385\) 1.22294 + 1.62208i 0.0623267 + 0.0826689i
\(386\) 21.4959i 1.09411i
\(387\) 9.48656 34.3993i 0.482229 1.74861i
\(388\) −7.61423 + 4.39608i −0.386554 + 0.223177i
\(389\) 29.9694i 1.51951i 0.650209 + 0.759755i \(0.274681\pi\)
−0.650209 + 0.759755i \(0.725319\pi\)
\(390\) 2.91871 6.97439i 0.147795 0.353162i
\(391\) −11.1652 + 6.44624i −0.564650 + 0.326001i
\(392\) 6.72976 + 1.92622i 0.339904 + 0.0972888i
\(393\) 17.0534 2.18191i 0.860228 0.110063i
\(394\) −6.69540 11.5968i −0.337309 0.584237i
\(395\) −0.555218 0.961666i −0.0279360 0.0483867i
\(396\) 2.22054 + 0.612375i 0.111586 + 0.0307730i
\(397\) 0.811242 + 0.468371i 0.0407151 + 0.0235069i 0.520219 0.854033i \(-0.325850\pi\)
−0.479504 + 0.877540i \(0.659184\pi\)
\(398\) −0.280308 + 0.485507i −0.0140506 + 0.0243363i
\(399\) 21.4945 5.48087i 1.07607 0.274387i
\(400\) −0.500000 0.866025i −0.0250000 0.0433013i
\(401\) 5.80877i 0.290076i 0.989426 + 0.145038i \(0.0463305\pi\)
−0.989426 + 0.145038i \(0.953670\pi\)
\(402\) 3.01254 + 23.5454i 0.150252 + 1.17434i
\(403\) −35.1790 −1.75239
\(404\) −5.92574 + 10.2637i −0.294816 + 0.510637i
\(405\) −7.85901 + 4.38589i −0.390517 + 0.217937i
\(406\) −22.2510 + 16.7758i −1.10430 + 0.832567i
\(407\) 5.52723 + 3.19115i 0.273975 + 0.158179i
\(408\) −3.17363 + 2.41689i −0.157118 + 0.119654i
\(409\) −18.9501 10.9409i −0.937023 0.540990i −0.0479969 0.998847i \(-0.515284\pi\)
−0.889026 + 0.457857i \(0.848617\pi\)
\(410\) −4.59654 2.65381i −0.227007 0.131062i
\(411\) −3.16394 24.7286i −0.156065 1.21977i
\(412\) −0.760480 0.439063i −0.0374661 0.0216311i
\(413\) 3.69420 + 30.0270i 0.181780 + 1.47753i
\(414\) 11.7879 + 11.9610i 0.579341 + 0.587850i
\(415\) 0.254578 0.440942i 0.0124967 0.0216450i
\(416\) −4.36505 −0.214014
\(417\) 14.0346 10.6881i 0.687279 0.523399i
\(418\) 3.71664i 0.181787i
\(419\) −7.97218 13.8082i −0.389467 0.674576i 0.602911 0.797808i \(-0.294007\pi\)
−0.992378 + 0.123232i \(0.960674\pi\)
\(420\) 1.13228 + 4.44049i 0.0552494 + 0.216674i
\(421\) 8.26978 14.3237i 0.403044 0.698093i −0.591047 0.806637i \(-0.701285\pi\)
0.994092 + 0.108544i \(0.0346187\pi\)
\(422\) −3.05771 1.76537i −0.148847 0.0859368i
\(423\) 13.6065 + 13.8064i 0.661572 + 0.671289i
\(424\) 3.74161 + 6.48067i 0.181709 + 0.314729i
\(425\) −1.15157 1.99457i −0.0558592 0.0967510i
\(426\) −7.87655 10.3428i −0.381620 0.501108i
\(427\) 9.81528 23.1389i 0.474995 1.11977i
\(428\) 5.55184 3.20536i 0.268358 0.154937i
\(429\) 3.51706 + 4.61828i 0.169805 + 0.222973i
\(430\) 11.8945i 0.573602i
\(431\) −10.5417 + 6.08623i −0.507774 + 0.293163i −0.731918 0.681393i \(-0.761375\pi\)
0.224144 + 0.974556i \(0.428041\pi\)
\(432\) 4.08755 + 3.20810i 0.196662 + 0.154350i
\(433\) 8.54538i 0.410665i 0.978692 + 0.205332i \(0.0658276\pi\)
−0.978692 + 0.205332i \(0.934172\pi\)
\(434\) 17.0260 12.8364i 0.817274 0.616169i
\(435\) −16.8286 7.04261i −0.806870 0.337667i
\(436\) −8.72759 −0.417976
\(437\) 13.5483 23.4663i 0.648102 1.12255i
\(438\) 7.81243 18.6681i 0.373292 0.891998i
\(439\) 5.69997 3.29088i 0.272045 0.157065i −0.357772 0.933809i \(-0.616463\pi\)
0.629816 + 0.776744i \(0.283130\pi\)
\(440\) 0.767810 0.0366039
\(441\) 0.509438 20.9938i 0.0242589 0.999706i
\(442\) −10.0533 −0.478186
\(443\) −23.4466 + 13.5369i −1.11398 + 0.643157i −0.939857 0.341567i \(-0.889042\pi\)
−0.174123 + 0.984724i \(0.555709\pi\)
\(444\) 8.72288 + 11.4541i 0.413969 + 0.543587i
\(445\) −2.80167 + 4.85263i −0.132812 + 0.230037i
\(446\) −25.6103 −1.21268
\(447\) −1.96803 15.3817i −0.0930847 0.727530i
\(448\) 2.11261 1.59276i 0.0998113 0.0752509i
\(449\) 17.9654i 0.847841i −0.905700 0.423920i \(-0.860654\pi\)
0.905700 0.423920i \(-0.139346\pi\)
\(450\) −2.13673 + 2.10580i −0.100726 + 0.0992684i
\(451\) 3.52927 2.03763i 0.166187 0.0959480i
\(452\) 0.805534i 0.0378891i
\(453\) 8.60257 1.10067i 0.404184 0.0517138i
\(454\) −9.64631 + 5.56930i −0.452724 + 0.261380i
\(455\) −4.50993 + 10.6318i −0.211429 + 0.498429i
\(456\) 3.23668 7.73417i 0.151571 0.362186i
\(457\) 2.57466 + 4.45944i 0.120438 + 0.208604i 0.919940 0.392058i \(-0.128237\pi\)
−0.799503 + 0.600662i \(0.794904\pi\)
\(458\) 1.90421 + 3.29819i 0.0889780 + 0.154114i
\(459\) 9.41418 + 7.38870i 0.439416 + 0.344875i
\(460\) 4.84784 + 2.79890i 0.226032 + 0.130499i
\(461\) 5.46051 9.45788i 0.254321 0.440498i −0.710390 0.703809i \(-0.751481\pi\)
0.964711 + 0.263311i \(0.0848146\pi\)
\(462\) −3.38736 0.951827i −0.157594 0.0442830i
\(463\) 14.8704 + 25.7563i 0.691088 + 1.19700i 0.971482 + 0.237114i \(0.0762015\pi\)
−0.280394 + 0.959885i \(0.590465\pi\)
\(464\) 10.5325i 0.488959i
\(465\) 12.8769 + 5.38885i 0.597151 + 0.249902i
\(466\) −2.35824 −0.109243
\(467\) −4.55724 + 7.89337i −0.210884 + 0.365262i −0.951991 0.306125i \(-0.900968\pi\)
0.741107 + 0.671386i \(0.234301\pi\)
\(468\) 3.29698 + 12.6733i 0.152403 + 0.585824i
\(469\) −4.42757 35.9880i −0.204446 1.66177i
\(470\) 5.59578 + 3.23073i 0.258114 + 0.149022i
\(471\) 5.19800 + 2.17531i 0.239511 + 0.100233i
\(472\) 9.90276 + 5.71736i 0.455811 + 0.263163i
\(473\) 7.90915 + 4.56635i 0.363663 + 0.209961i
\(474\) 1.77423 + 0.742499i 0.0814932 + 0.0341041i
\(475\) 4.19206 + 2.42029i 0.192345 + 0.111050i
\(476\) 4.86562 3.66834i 0.223015 0.168138i
\(477\) 15.9896 15.7582i 0.732114 0.721518i
\(478\) −5.88712 + 10.1968i −0.269271 + 0.466390i
\(479\) −37.2972 −1.70415 −0.852076 0.523419i \(-0.824656\pi\)
−0.852076 + 0.523419i \(0.824656\pi\)
\(480\) 1.59778 + 0.668655i 0.0729283 + 0.0305198i
\(481\) 36.2837i 1.65440i
\(482\) 9.40683 + 16.2931i 0.428469 + 0.742130i
\(483\) −17.9176 18.3576i −0.815278 0.835302i
\(484\) 5.20523 9.01573i 0.236602 0.409806i
\(485\) 7.61423 + 4.39608i 0.345744 + 0.199615i
\(486\) 6.22691 14.2908i 0.282458 0.648242i
\(487\) −9.44574 16.3605i −0.428027 0.741365i 0.568671 0.822565i \(-0.307458\pi\)
−0.996698 + 0.0812005i \(0.974125\pi\)
\(488\) −4.74999 8.22722i −0.215022 0.372429i
\(489\) −3.22200 + 7.69911i −0.145704 + 0.348166i
\(490\) −1.69673 6.79125i −0.0766502 0.306798i
\(491\) −30.1458 + 17.4047i −1.36046 + 0.785462i −0.989685 0.143260i \(-0.954241\pi\)
−0.370776 + 0.928723i \(0.620908\pi\)
\(492\) 9.11874 1.16671i 0.411105 0.0525993i
\(493\) 24.2578i 1.09251i
\(494\) 18.2986 10.5647i 0.823291 0.475327i
\(495\) −0.579937 2.22923i −0.0260662 0.100196i
\(496\) 8.05924i 0.361870i
\(497\) 11.9550 + 15.8569i 0.536255 + 0.711278i
\(498\) 0.111921 + 0.874752i 0.00501531 + 0.0391986i
\(499\) 24.4326 1.09376 0.546878 0.837212i \(-0.315816\pi\)
0.546878 + 0.837212i \(0.315816\pi\)
\(500\) −0.500000 + 0.866025i −0.0223607 + 0.0387298i
\(501\) 10.4364 + 13.7041i 0.466263 + 0.612253i
\(502\) 2.90776 1.67879i 0.129780 0.0749283i
\(503\) −13.5009 −0.601977 −0.300988 0.953628i \(-0.597317\pi\)
−0.300988 + 0.953628i \(0.597317\pi\)
\(504\) −6.22004 4.93063i −0.277063 0.219628i
\(505\) 11.8515 0.527384
\(506\) −3.72222 + 2.14902i −0.165473 + 0.0955358i
\(507\) −4.04781 + 9.67241i −0.179769 + 0.429567i
\(508\) −6.32397 + 10.9534i −0.280581 + 0.485980i
\(509\) −27.3443 −1.21202 −0.606008 0.795459i \(-0.707230\pi\)
−0.606008 + 0.795459i \(0.707230\pi\)
\(510\) 3.67990 + 1.54000i 0.162949 + 0.0681925i
\(511\) −12.0716 + 28.4579i −0.534016 + 1.25891i
\(512\) 1.00000i 0.0441942i
\(513\) −24.8998 3.55552i −1.09935 0.156980i
\(514\) −9.81743 + 5.66810i −0.433028 + 0.250009i
\(515\) 0.878126i 0.0386949i
\(516\) 12.4819 + 16.3901i 0.549487 + 0.721535i
\(517\) −4.29650 + 2.48059i −0.188960 + 0.109096i
\(518\) −13.2396 17.5607i −0.581713 0.771572i
\(519\) 17.4475 + 22.9105i 0.765861 + 1.00566i
\(520\) 2.18252 + 3.78024i 0.0957100 + 0.165775i
\(521\) 5.24997 + 9.09321i 0.230005 + 0.398381i 0.957809 0.287404i \(-0.0927923\pi\)
−0.727804 + 0.685785i \(0.759459\pi\)
\(522\) 30.5796 7.95533i 1.33843 0.348195i
\(523\) −15.4653 8.92889i −0.676250 0.390433i 0.122191 0.992507i \(-0.461008\pi\)
−0.798441 + 0.602074i \(0.794341\pi\)
\(524\) −4.96301 + 8.59619i −0.216810 + 0.375526i
\(525\) 3.27944 3.20083i 0.143126 0.139695i
\(526\) 12.8910 + 22.3278i 0.562074 + 0.973540i
\(527\) 18.5615i 0.808552i
\(528\) −1.05801 + 0.805733i −0.0460441 + 0.0350650i
\(529\) −8.33538 −0.362408
\(530\) 3.74161 6.48067i 0.162525 0.281502i
\(531\) 9.11988 33.0697i 0.395769 1.43510i
\(532\) −5.00124 + 11.7901i −0.216831 + 0.511164i
\(533\) 20.0641 + 11.5840i 0.869074 + 0.501760i
\(534\) −1.23171 9.62678i −0.0533013 0.416592i
\(535\) −5.55184 3.20536i −0.240027 0.138580i
\(536\) −11.8687 6.85237i −0.512648 0.295977i
\(537\) −6.48312 + 4.93724i −0.279767 + 0.213057i
\(538\) −5.10754 2.94884i −0.220202 0.127134i
\(539\) 5.16718 + 1.47897i 0.222566 + 0.0637038i
\(540\) 0.734525 5.14397i 0.0316089 0.221361i
\(541\) 4.16365 7.21166i 0.179009 0.310053i −0.762532 0.646950i \(-0.776044\pi\)
0.941542 + 0.336897i \(0.109377\pi\)
\(542\) 10.1230 0.434821
\(543\) −1.83198 14.3183i −0.0786176 0.614458i
\(544\) 2.30313i 0.0987461i
\(545\) 4.36380 + 7.55832i 0.186924 + 0.323763i
\(546\) −4.94244 19.3830i −0.211517 0.829514i
\(547\) 15.3348 26.5606i 0.655667 1.13565i −0.326059 0.945349i \(-0.605721\pi\)
0.981726 0.190299i \(-0.0609459\pi\)
\(548\) 12.4651 + 7.19674i 0.532483 + 0.307429i
\(549\) −20.2989 + 20.0050i −0.866334 + 0.853795i
\(550\) −0.383905 0.664943i −0.0163698 0.0283533i
\(551\) −25.4917 44.1529i −1.08598 1.88098i
\(552\) −9.61728 + 1.23049i −0.409338 + 0.0523733i
\(553\) −2.70466 1.14729i −0.115014 0.0487878i
\(554\) −8.99804 + 5.19502i −0.382290 + 0.220715i
\(555\) 5.55808 13.2813i 0.235928 0.563759i
\(556\) 10.1851i 0.431943i
\(557\) −1.82492 + 1.05362i −0.0773242 + 0.0446432i −0.538164 0.842840i \(-0.680882\pi\)
0.460839 + 0.887484i \(0.347548\pi\)
\(558\) −23.3989 + 6.08724i −0.990553 + 0.257694i
\(559\) 51.9199i 2.19598i
\(560\) −2.43568 1.03319i −0.102926 0.0436603i
\(561\) −2.43675 + 1.85571i −0.102880 + 0.0783482i
\(562\) 16.5295 0.697253
\(563\) 5.74415 9.94915i 0.242087 0.419307i −0.719222 0.694781i \(-0.755501\pi\)
0.961309 + 0.275474i \(0.0888347\pi\)
\(564\) −11.1011 + 1.42034i −0.467440 + 0.0598071i
\(565\) 0.697613 0.402767i 0.0293488 0.0169445i
\(566\) 10.3924 0.436826
\(567\) −9.61732 + 21.7832i −0.403889 + 0.914808i
\(568\) 7.50583 0.314938
\(569\) 39.7209 22.9329i 1.66519 0.961395i 0.695007 0.719003i \(-0.255401\pi\)
0.970178 0.242392i \(-0.0779320\pi\)
\(570\) −8.31633 + 1.06404i −0.348333 + 0.0445678i
\(571\) 6.79295 11.7657i 0.284276 0.492381i −0.688157 0.725562i \(-0.741580\pi\)
0.972433 + 0.233181i \(0.0749134\pi\)
\(572\) −3.35153 −0.140135
\(573\) −5.22647 + 3.98023i −0.218339 + 0.166276i
\(574\) −13.9376 + 1.71473i −0.581743 + 0.0715713i
\(575\) 5.59780i 0.233444i
\(576\) −2.90336 + 0.755312i −0.120973 + 0.0314714i
\(577\) −17.2122 + 9.93748i −0.716554 + 0.413703i −0.813483 0.581589i \(-0.802431\pi\)
0.0969291 + 0.995291i \(0.469098\pi\)
\(578\) 11.6956i 0.486472i
\(579\) −14.3734 + 34.3458i −0.597337 + 1.42736i
\(580\) 9.12141 5.26625i 0.378746 0.218669i
\(581\) −0.164492 1.33702i −0.00682428 0.0554689i
\(582\) −15.1053 + 1.93267i −0.626135 + 0.0801116i
\(583\) 2.87285 + 4.97592i 0.118981 + 0.206082i
\(584\) 5.84190 + 10.1185i 0.241739 + 0.418705i
\(585\) 9.32692 9.19192i 0.385621 0.380039i
\(586\) 22.1332 + 12.7786i 0.914313 + 0.527879i
\(587\) 11.8126 20.4600i 0.487558 0.844475i −0.512340 0.858783i \(-0.671221\pi\)
0.999898 + 0.0143079i \(0.00455451\pi\)
\(588\) 9.46470 + 7.57756i 0.390318 + 0.312494i
\(589\) 19.5057 + 33.7848i 0.803717 + 1.39208i
\(590\) 11.4347i 0.470760i
\(591\) −2.94353 23.0060i −0.121081 0.946340i
\(592\) −8.31233 −0.341635
\(593\) −23.9443 + 41.4727i −0.983274 + 1.70308i −0.333907 + 0.942606i \(0.608367\pi\)
−0.649367 + 0.760475i \(0.724966\pi\)
\(594\) 3.13846 + 2.46322i 0.128773 + 0.101067i
\(595\) −5.60969 2.37958i −0.229975 0.0975531i
\(596\) 7.75355 + 4.47651i 0.317598 + 0.183365i
\(597\) −0.772507 + 0.588304i −0.0316166 + 0.0240777i
\(598\) −21.1611 12.2173i −0.865340 0.499604i
\(599\) 12.9010 + 7.44842i 0.527123 + 0.304334i 0.739844 0.672779i \(-0.234899\pi\)
−0.212721 + 0.977113i \(0.568233\pi\)
\(600\) −0.219817 1.71805i −0.00897401 0.0701389i
\(601\) 13.3073 + 7.68296i 0.542815 + 0.313394i 0.746219 0.665700i \(-0.231867\pi\)
−0.203404 + 0.979095i \(0.565200\pi\)
\(602\) −18.9451 25.1283i −0.772143 1.02415i
\(603\) −10.9304 + 39.6347i −0.445119 + 1.61405i
\(604\) −2.50359 + 4.33635i −0.101870 + 0.176443i
\(605\) −10.4105 −0.423246
\(606\) −16.3309 + 12.4368i −0.663397 + 0.505211i
\(607\) 8.96232i 0.363769i −0.983320 0.181885i \(-0.941780\pi\)
0.983320 0.181885i \(-0.0582197\pi\)
\(608\) 2.42029 + 4.19206i 0.0981556 + 0.170011i
\(609\) −46.7694 + 11.9257i −1.89519 + 0.483254i
\(610\) −4.74999 + 8.22722i −0.192321 + 0.333110i
\(611\) −24.4259 14.1023i −0.988165 0.570517i
\(612\) −6.68683 + 1.73959i −0.270299 + 0.0703186i
\(613\) −10.8226 18.7452i −0.437119 0.757113i 0.560347 0.828258i \(-0.310668\pi\)
−0.997466 + 0.0711452i \(0.977335\pi\)
\(614\) −4.66668 8.08293i −0.188332 0.326200i
\(615\) −5.56977 7.31371i −0.224595 0.294917i
\(616\) 1.62208 1.22294i 0.0653555 0.0492736i
\(617\) −28.3642 + 16.3761i −1.14190 + 0.659277i −0.946901 0.321527i \(-0.895804\pi\)
−0.195000 + 0.980803i \(0.562471\pi\)
\(618\) −0.921497 1.21003i −0.0370681 0.0486743i
\(619\) 13.1574i 0.528839i −0.964408 0.264420i \(-0.914820\pi\)
0.964408 0.264420i \(-0.0851804\pi\)
\(620\) −6.97950 + 4.02962i −0.280304 + 0.161833i
\(621\) 10.8366 + 26.9930i 0.434858 + 1.08319i
\(622\) 5.36577i 0.215148i
\(623\) 1.81026 + 14.7141i 0.0725266 + 0.589507i
\(624\) −6.97439 2.91871i −0.279199 0.116842i
\(625\) 1.00000 0.0400000
\(626\) −12.7280 + 22.0455i −0.508712 + 0.881115i
\(627\) 2.48515 5.93838i 0.0992475 0.237156i
\(628\) −2.81741 + 1.62663i −0.112427 + 0.0649097i
\(629\) −19.1444 −0.763338
\(630\) −1.16003 + 7.85203i −0.0462167 + 0.312832i
\(631\) −32.3439 −1.28759 −0.643795 0.765198i \(-0.722641\pi\)
−0.643795 + 0.765198i \(0.722641\pi\)
\(632\) −0.961666 + 0.555218i −0.0382530 + 0.0220854i
\(633\) −3.70512 4.86522i −0.147265 0.193375i
\(634\) −3.74338 + 6.48372i −0.148669 + 0.257502i
\(635\) 12.6479 0.501918
\(636\) 1.64494 + 12.8565i 0.0652262 + 0.509794i
\(637\) 7.40629 + 29.6442i 0.293448 + 1.17454i
\(638\) 8.08696i 0.320166i
\(639\) −5.66925 21.7921i −0.224272 0.862084i
\(640\) −0.866025 + 0.500000i −0.0342327 + 0.0197642i
\(641\) 28.0300i 1.10712i 0.832810 + 0.553559i \(0.186731\pi\)
−0.832810 + 0.553559i \(0.813269\pi\)
\(642\) 11.0139 1.40919i 0.434684 0.0556161i
\(643\) −11.6003 + 6.69742i −0.457470 + 0.264121i −0.710980 0.703212i \(-0.751748\pi\)
0.253510 + 0.967333i \(0.418415\pi\)
\(644\) 14.6996 1.80847i 0.579244 0.0712638i
\(645\) 7.95330 19.0047i 0.313161 0.748311i
\(646\) 5.57425 + 9.65488i 0.219316 + 0.379866i
\(647\) −10.5813 18.3274i −0.415995 0.720524i 0.579537 0.814946i \(-0.303233\pi\)
−0.995532 + 0.0944214i \(0.969900\pi\)
\(648\) 4.38589 + 7.85901i 0.172294 + 0.308731i
\(649\) 7.60344 + 4.38985i 0.298461 + 0.172317i
\(650\) 2.18252 3.78024i 0.0856057 0.148273i
\(651\) 35.7870 9.12528i 1.40260 0.357648i
\(652\) −2.40931 4.17306i −0.0943560 0.163429i
\(653\) 21.0984i 0.825645i 0.910811 + 0.412823i \(0.135457\pi\)
−0.910811 + 0.412823i \(0.864543\pi\)
\(654\) −13.9448 5.83575i −0.545284 0.228196i
\(655\) 9.92603 0.387842
\(656\) −2.65381 + 4.59654i −0.103614 + 0.179465i
\(657\) 24.9651 24.6037i 0.973981 0.959883i
\(658\) 16.9675 2.08749i 0.661461 0.0813790i
\(659\) 24.0800 + 13.9026i 0.938025 + 0.541569i 0.889341 0.457245i \(-0.151164\pi\)
0.0486845 + 0.998814i \(0.484497\pi\)
\(660\) 1.22679 + 0.513400i 0.0477528 + 0.0199841i
\(661\) 8.80674 + 5.08458i 0.342543 + 0.197767i 0.661396 0.750037i \(-0.269964\pi\)
−0.318853 + 0.947804i \(0.603298\pi\)
\(662\) 6.43342 + 3.71433i 0.250042 + 0.144362i
\(663\) −16.0630 6.72219i −0.623833 0.261068i
\(664\) −0.440942 0.254578i −0.0171119 0.00987953i
\(665\) 12.7111 1.56384i 0.492916 0.0606430i
\(666\) 6.27841 + 24.1337i 0.243283 + 0.935162i
\(667\) −29.4794 + 51.0598i −1.14145 + 1.97704i
\(668\) −9.94518 −0.384791
\(669\) −40.9196 17.1244i −1.58204 0.662069i
\(670\) 13.7047i 0.529461i
\(671\) −3.64709 6.31694i −0.140794 0.243863i
\(672\) 4.44049 1.13228i 0.171296 0.0436785i
\(673\) −5.29232 + 9.16657i −0.204004 + 0.353345i −0.949815 0.312812i \(-0.898729\pi\)
0.745811 + 0.666158i \(0.232062\pi\)
\(674\) 22.3731 + 12.9171i 0.861781 + 0.497549i
\(675\) −4.82207 + 1.93587i −0.185602 + 0.0745117i
\(676\) −3.02683 5.24262i −0.116416 0.201639i
\(677\) −16.5653 28.6920i −0.636657 1.10272i −0.986162 0.165787i \(-0.946983\pi\)
0.349505 0.936935i \(-0.386350\pi\)
\(678\) −0.538625 + 1.28707i −0.0206858 + 0.0494295i
\(679\) 23.0878 2.84047i 0.886027 0.109007i
\(680\) −1.99457 + 1.15157i −0.0764884 + 0.0441606i
\(681\) −19.1366 + 2.44846i −0.733317 + 0.0938251i
\(682\) 6.18797i 0.236949i
\(683\) −15.1376 + 8.73972i −0.579225 + 0.334416i −0.760826 0.648957i \(-0.775206\pi\)
0.181600 + 0.983372i \(0.441872\pi\)
\(684\) 10.3430 10.1933i 0.395474 0.389750i
\(685\) 14.3935i 0.549947i
\(686\) −14.4014 11.6448i −0.549847 0.444599i
\(687\) 0.837158 + 6.54305i 0.0319396 + 0.249633i
\(688\) −11.8945 −0.453472
\(689\) −16.3323 + 28.2884i −0.622212 + 1.07770i
\(690\) 5.87428 + 7.71356i 0.223630 + 0.293650i
\(691\) 16.5287 9.54285i 0.628782 0.363027i −0.151498 0.988457i \(-0.548410\pi\)
0.780280 + 0.625430i \(0.215077\pi\)
\(692\) −16.6263 −0.632039
\(693\) −4.77581 3.78579i −0.181418 0.143810i
\(694\) −18.4244 −0.699380
\(695\) 8.82052 5.09253i 0.334581 0.193171i
\(696\) −7.04261 + 16.8286i −0.266949 + 0.637887i
\(697\) −6.11209 + 10.5864i −0.231512 + 0.400990i
\(698\) 1.58715 0.0600747
\(699\) −3.76795 1.57685i −0.142517 0.0596420i
\(700\) 0.323069 + 2.62595i 0.0122108 + 0.0992517i
\(701\) 14.4247i 0.544815i −0.962182 0.272407i \(-0.912180\pi\)
0.962182 0.272407i \(-0.0878198\pi\)
\(702\) −3.20624 + 22.4537i −0.121012 + 0.847460i
\(703\) 34.8458 20.1182i 1.31423 0.758773i
\(704\) 0.767810i 0.0289379i
\(705\) 6.78059 + 8.90364i 0.255372 + 0.335331i
\(706\) 7.97208 4.60268i 0.300033 0.173224i
\(707\) 25.0375 18.8766i 0.941632 0.709927i
\(708\) 11.9995 + 15.7566i 0.450968 + 0.592170i
\(709\) −11.9719 20.7360i −0.449615 0.778755i 0.548746 0.835989i \(-0.315105\pi\)
−0.998361 + 0.0572336i \(0.981772\pi\)
\(710\) −3.75292 6.50024i −0.140844 0.243950i
\(711\) 2.33836 + 2.37270i 0.0876952 + 0.0889832i
\(712\) 4.85263 + 2.80167i 0.181860 + 0.104997i
\(713\) 22.5570 39.0699i 0.844766 1.46318i
\(714\) 10.2270 2.60778i 0.382738 0.0975939i
\(715\) 1.67576 + 2.90251i 0.0626701 + 0.108548i
\(716\) 4.70486i 0.175829i
\(717\) −16.2245 + 12.3558i −0.605914 + 0.461435i
\(718\) −25.8366 −0.964213
\(719\) −7.04096 + 12.1953i −0.262584 + 0.454808i −0.966928 0.255051i \(-0.917908\pi\)
0.704344 + 0.709859i \(0.251241\pi\)
\(720\) 2.10580 + 2.13673i 0.0784785 + 0.0796311i
\(721\) 1.39865 + 1.85514i 0.0520883 + 0.0690889i
\(722\) −3.83750 2.21558i −0.142817 0.0824554i
\(723\) 4.13557 + 32.3227i 0.153803 + 1.20209i
\(724\) 7.21752 + 4.16704i 0.268237 + 0.154867i
\(725\) −9.12141 5.26625i −0.338761 0.195584i
\(726\) 14.3452 10.9246i 0.532402 0.405451i
\(727\) 10.6031 + 6.12171i 0.393248 + 0.227042i 0.683566 0.729888i \(-0.260428\pi\)
−0.290319 + 0.956930i \(0.593761\pi\)
\(728\) 10.6318 + 4.50993i 0.394042 + 0.167149i
\(729\) 19.5048 18.6698i 0.722400 0.691475i
\(730\) 5.84190 10.1185i 0.216218 0.374501i
\(731\) −27.3946 −1.01322
\(732\) −2.08826 16.3214i −0.0771843 0.603256i
\(733\) 31.9863i 1.18144i −0.806877 0.590720i \(-0.798844\pi\)
0.806877 0.590720i \(-0.201156\pi\)
\(734\) 11.1282 + 19.2746i 0.410750 + 0.711439i
\(735\) 1.83001 11.9855i 0.0675011 0.442090i
\(736\) 2.79890 4.84784i 0.103169 0.178694i
\(737\) −9.11288 5.26132i −0.335677 0.193803i
\(738\) 15.3499 + 4.23315i 0.565037 + 0.155825i
\(739\) −17.7732 30.7841i −0.653798 1.13241i −0.982194 0.187871i \(-0.939841\pi\)
0.328396 0.944540i \(-0.393492\pi\)
\(740\) 4.15617 + 7.19869i 0.152784 + 0.264629i
\(741\) 36.3012 4.64460i 1.33356 0.170624i
\(742\) −2.41760 19.6506i −0.0887527 0.721396i
\(743\) 19.6903 11.3682i 0.722366 0.417058i −0.0932570 0.995642i \(-0.529728\pi\)
0.815623 + 0.578584i \(0.196394\pi\)
\(744\) 5.38885 12.8769i 0.197565 0.472090i
\(745\) 8.95303i 0.328014i
\(746\) 28.3884 16.3900i 1.03937 0.600082i
\(747\) −0.406082 + 1.47250i −0.0148578 + 0.0538759i
\(748\) 1.76837i 0.0646580i
\(749\) −16.8342 + 2.07110i −0.615109 + 0.0756763i
\(750\) −1.37796 + 1.04939i −0.0503161 + 0.0383183i
\(751\) 14.4519 0.527357 0.263678 0.964611i \(-0.415064\pi\)
0.263678 + 0.964611i \(0.415064\pi\)
\(752\) 3.23073 5.59578i 0.117813 0.204057i
\(753\) 5.76849 0.738056i 0.210215 0.0268963i
\(754\) −39.8154 + 22.9874i −1.44999 + 0.837153i
\(755\) 5.00718 0.182230
\(756\) −6.64136 12.0371i −0.241544 0.437786i
\(757\) 29.2971 1.06482 0.532410 0.846487i \(-0.321287\pi\)
0.532410 + 0.846487i \(0.321287\pi\)
\(758\) 23.1344 13.3566i 0.840278 0.485135i
\(759\) −7.38424 + 0.944786i −0.268031 + 0.0342936i
\(760\) 2.42029 4.19206i 0.0877930 0.152062i
\(761\) 48.9328 1.77381 0.886906 0.461949i \(-0.152850\pi\)
0.886906 + 0.461949i \(0.152850\pi\)
\(762\) −17.4284 + 13.2726i −0.631364 + 0.480816i
\(763\) 21.2576 + 9.01727i 0.769576 + 0.326447i
\(764\) 3.79290i 0.137222i
\(765\) 4.84994 + 4.92117i 0.175350 + 0.177925i
\(766\) 1.57386 0.908668i 0.0568658