Properties

Label 630.2.t.b.311.13
Level 630
Weight 2
Character 630.311
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 311.13
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(1.11018 + 1.32948i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(0.296702 + 1.70645i) q^{6} +(-0.142082 - 2.64193i) q^{7} +1.00000i q^{8} +(-0.535019 + 2.95191i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(1.11018 + 1.32948i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(0.296702 + 1.70645i) q^{6} +(-0.142082 - 2.64193i) q^{7} +1.00000i q^{8} +(-0.535019 + 2.95191i) q^{9} +(-0.866025 - 0.500000i) q^{10} +4.86026i q^{11} +(-0.596273 + 1.62618i) q^{12} +(3.42136 + 1.97532i) q^{13} +(1.19792 - 2.35902i) q^{14} +(-1.11018 - 1.32948i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.25228 + 2.16902i) q^{17} +(-1.93929 + 2.28892i) q^{18} +(-0.962409 + 0.555647i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(3.35465 - 3.12191i) q^{21} +(-2.43013 + 4.20911i) q^{22} +3.30404i q^{23} +(-1.32948 + 1.11018i) q^{24} +1.00000 q^{25} +(1.97532 + 3.42136i) q^{26} +(-4.51846 + 2.56584i) q^{27} +(2.21694 - 1.44401i) q^{28} +(3.70789 - 2.14075i) q^{29} +(-0.296702 - 1.70645i) q^{30} +(6.40644 - 3.69876i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-6.46161 + 5.39575i) q^{33} +(-2.16902 + 1.25228i) q^{34} +(0.142082 + 2.64193i) q^{35} +(-2.82394 + 1.01261i) q^{36} +(-1.82085 - 3.15380i) q^{37} -1.11129 q^{38} +(1.17216 + 6.74157i) q^{39} -1.00000i q^{40} +(3.91000 - 6.77231i) q^{41} +(4.46617 - 1.02632i) q^{42} +(-3.62690 - 6.28198i) q^{43} +(-4.20911 + 2.43013i) q^{44} +(0.535019 - 2.95191i) q^{45} +(-1.65202 + 2.86139i) q^{46} +(5.84258 - 10.1196i) q^{47} +(-1.70645 + 0.296702i) q^{48} +(-6.95963 + 0.750744i) q^{49} +(0.866025 + 0.500000i) q^{50} +(-4.27391 + 0.743110i) q^{51} +3.95064i q^{52} +(-4.92292 - 2.84225i) q^{53} +(-5.19602 - 0.0371456i) q^{54} -4.86026i q^{55} +(2.64193 - 0.142082i) q^{56} +(-1.80716 - 0.662634i) q^{57} +4.28150 q^{58} +(-0.696461 - 1.20631i) q^{59} +(0.596273 - 1.62618i) q^{60} +(-7.97067 - 4.60187i) q^{61} +7.39752 q^{62} +(7.87476 + 0.994070i) q^{63} -1.00000 q^{64} +(-3.42136 - 1.97532i) q^{65} +(-8.29379 + 1.44205i) q^{66} +(-3.00724 - 5.20869i) q^{67} -2.50457 q^{68} +(-4.39265 + 3.66807i) q^{69} +(-1.19792 + 2.35902i) q^{70} +9.66386i q^{71} +(-2.95191 - 0.535019i) q^{72} +(12.0570 + 6.96114i) q^{73} -3.64170i q^{74} +(1.11018 + 1.32948i) q^{75} +(-0.962409 - 0.555647i) q^{76} +(12.8405 - 0.690557i) q^{77} +(-2.35566 + 6.42445i) q^{78} +(3.91911 - 6.78809i) q^{79} +(0.500000 - 0.866025i) q^{80} +(-8.42751 - 3.15865i) q^{81} +(6.77231 - 3.91000i) q^{82} +(-0.393868 - 0.682199i) q^{83} +(4.38098 + 1.34426i) q^{84} +(1.25228 - 2.16902i) q^{85} -7.25381i q^{86} +(6.96248 + 2.55294i) q^{87} -4.86026 q^{88} +(7.49361 + 12.9793i) q^{89} +(1.93929 - 2.28892i) q^{90} +(4.73255 - 9.31966i) q^{91} +(-2.86139 + 1.65202i) q^{92} +(12.0297 + 4.41094i) q^{93} +(10.1196 - 5.84258i) q^{94} +(0.962409 - 0.555647i) q^{95} +(-1.62618 - 0.596273i) q^{96} +(14.9781 - 8.64760i) q^{97} +(-6.40258 - 2.82965i) q^{98} +(-14.3470 - 2.60033i) 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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

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

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
\(3\) 1.11018 + 1.32948i 0.640960 + 0.767574i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.00000 −0.447214
\(6\) 0.296702 + 1.70645i 0.121128 + 0.696655i
\(7\) −0.142082 2.64193i −0.0537021 0.998557i
\(8\) 1.00000i 0.353553i
\(9\) −0.535019 + 2.95191i −0.178340 + 0.983969i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 4.86026i 1.46542i 0.680539 + 0.732712i \(0.261746\pi\)
−0.680539 + 0.732712i \(0.738254\pi\)
\(12\) −0.596273 + 1.62618i −0.172129 + 0.469437i
\(13\) 3.42136 + 1.97532i 0.948914 + 0.547856i 0.892743 0.450566i \(-0.148778\pi\)
0.0561705 + 0.998421i \(0.482111\pi\)
\(14\) 1.19792 2.35902i 0.320158 0.630475i
\(15\) −1.11018 1.32948i −0.286646 0.343270i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.25228 + 2.16902i −0.303723 + 0.526064i −0.976976 0.213348i \(-0.931563\pi\)
0.673253 + 0.739412i \(0.264896\pi\)
\(18\) −1.93929 + 2.28892i −0.457096 + 0.539503i
\(19\) −0.962409 + 0.555647i −0.220792 + 0.127474i −0.606317 0.795223i \(-0.707354\pi\)
0.385525 + 0.922697i \(0.374020\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) 3.35465 3.12191i 0.732045 0.681256i
\(22\) −2.43013 + 4.20911i −0.518106 + 0.897385i
\(23\) 3.30404i 0.688941i 0.938797 + 0.344470i \(0.111941\pi\)
−0.938797 + 0.344470i \(0.888059\pi\)
\(24\) −1.32948 + 1.11018i −0.271378 + 0.226614i
\(25\) 1.00000 0.200000
\(26\) 1.97532 + 3.42136i 0.387392 + 0.670983i
\(27\) −4.51846 + 2.56584i −0.869578 + 0.493796i
\(28\) 2.21694 1.44401i 0.418962 0.272893i
\(29\) 3.70789 2.14075i 0.688537 0.397527i −0.114527 0.993420i \(-0.536535\pi\)
0.803064 + 0.595893i \(0.203202\pi\)
\(30\) −0.296702 1.70645i −0.0541701 0.311554i
\(31\) 6.40644 3.69876i 1.15063 0.664317i 0.201590 0.979470i \(-0.435389\pi\)
0.949041 + 0.315153i \(0.102056\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −6.46161 + 5.39575i −1.12482 + 0.939279i
\(34\) −2.16902 + 1.25228i −0.371983 + 0.214765i
\(35\) 0.142082 + 2.64193i 0.0240163 + 0.446568i
\(36\) −2.82394 + 1.01261i −0.470656 + 0.168769i
\(37\) −1.82085 3.15380i −0.299345 0.518482i 0.676641 0.736313i \(-0.263435\pi\)
−0.975986 + 0.217832i \(0.930102\pi\)
\(38\) −1.11129 −0.180276
\(39\) 1.17216 + 6.74157i 0.187696 + 1.07952i
\(40\) 1.00000i 0.158114i
\(41\) 3.91000 6.77231i 0.610639 1.05766i −0.380494 0.924783i \(-0.624246\pi\)
0.991133 0.132874i \(-0.0424206\pi\)
\(42\) 4.46617 1.02632i 0.689145 0.158365i
\(43\) −3.62690 6.28198i −0.553098 0.957993i −0.998049 0.0624384i \(-0.980112\pi\)
0.444951 0.895555i \(-0.353221\pi\)
\(44\) −4.20911 + 2.43013i −0.634547 + 0.366356i
\(45\) 0.535019 2.95191i 0.0797559 0.440044i
\(46\) −1.65202 + 2.86139i −0.243577 + 0.421888i
\(47\) 5.84258 10.1196i 0.852227 1.47610i −0.0269662 0.999636i \(-0.508585\pi\)
0.879194 0.476465i \(-0.158082\pi\)
\(48\) −1.70645 + 0.296702i −0.246305 + 0.0428252i
\(49\) −6.95963 + 0.750744i −0.994232 + 0.107249i
\(50\) 0.866025 + 0.500000i 0.122474 + 0.0707107i
\(51\) −4.27391 + 0.743110i −0.598468 + 0.104056i
\(52\) 3.95064i 0.547856i
\(53\) −4.92292 2.84225i −0.676216 0.390413i 0.122212 0.992504i \(-0.461001\pi\)
−0.798428 + 0.602091i \(0.794335\pi\)
\(54\) −5.19602 0.0371456i −0.707089 0.00505487i
\(55\) 4.86026i 0.655358i
\(56\) 2.64193 0.142082i 0.353043 0.0189866i
\(57\) −1.80716 0.662634i −0.239365 0.0877681i
\(58\) 4.28150 0.562188
\(59\) −0.696461 1.20631i −0.0906716 0.157048i 0.817122 0.576464i \(-0.195568\pi\)
−0.907794 + 0.419417i \(0.862235\pi\)
\(60\) 0.596273 1.62618i 0.0769785 0.209939i
\(61\) −7.97067 4.60187i −1.02054 0.589209i −0.106280 0.994336i \(-0.533894\pi\)
−0.914260 + 0.405127i \(0.867227\pi\)
\(62\) 7.39752 0.939486
\(63\) 7.87476 + 0.994070i 0.992126 + 0.125241i
\(64\) −1.00000 −0.125000
\(65\) −3.42136 1.97532i −0.424367 0.245008i
\(66\) −8.29379 + 1.44205i −1.02090 + 0.177504i
\(67\) −3.00724 5.20869i −0.367393 0.636343i 0.621764 0.783204i \(-0.286416\pi\)
−0.989157 + 0.146861i \(0.953083\pi\)
\(68\) −2.50457 −0.303723
\(69\) −4.39265 + 3.66807i −0.528813 + 0.441584i
\(70\) −1.19792 + 2.35902i −0.143179 + 0.281957i
\(71\) 9.66386i 1.14689i 0.819244 + 0.573445i \(0.194393\pi\)
−0.819244 + 0.573445i \(0.805607\pi\)
\(72\) −2.95191 0.535019i −0.347886 0.0630526i
\(73\) 12.0570 + 6.96114i 1.41117 + 0.814739i 0.995499 0.0947757i \(-0.0302134\pi\)
0.415671 + 0.909515i \(0.363547\pi\)
\(74\) 3.64170i 0.423338i
\(75\) 1.11018 + 1.32948i 0.128192 + 0.153515i
\(76\) −0.962409 0.555647i −0.110396 0.0637371i
\(77\) 12.8405 0.690557i 1.46331 0.0786963i
\(78\) −2.35566 + 6.42445i −0.266726 + 0.727426i
\(79\) 3.91911 6.78809i 0.440934 0.763720i −0.556825 0.830630i \(-0.687981\pi\)
0.997759 + 0.0669097i \(0.0213140\pi\)
\(80\) 0.500000 0.866025i 0.0559017 0.0968246i
\(81\) −8.42751 3.15865i −0.936390 0.350961i
\(82\) 6.77231 3.91000i 0.747877 0.431787i
\(83\) −0.393868 0.682199i −0.0432326 0.0748811i 0.843599 0.536973i \(-0.180432\pi\)
−0.886832 + 0.462092i \(0.847099\pi\)
\(84\) 4.38098 + 1.34426i 0.478004 + 0.146671i
\(85\) 1.25228 2.16902i 0.135829 0.235263i
\(86\) 7.25381i 0.782198i
\(87\) 6.96248 + 2.55294i 0.746456 + 0.273704i
\(88\) −4.86026 −0.518106
\(89\) 7.49361 + 12.9793i 0.794321 + 1.37580i 0.923270 + 0.384153i \(0.125506\pi\)
−0.128949 + 0.991651i \(0.541160\pi\)
\(90\) 1.93929 2.28892i 0.204419 0.241273i
\(91\) 4.73255 9.31966i 0.496106 0.976966i
\(92\) −2.86139 + 1.65202i −0.298320 + 0.172235i
\(93\) 12.0297 + 4.41094i 1.24742 + 0.457393i
\(94\) 10.1196 5.84258i 1.04376 0.602616i
\(95\) 0.962409 0.555647i 0.0987410 0.0570082i
\(96\) −1.62618 0.596273i −0.165971 0.0608569i
\(97\) 14.9781 8.64760i 1.52079 0.878031i 0.521095 0.853499i \(-0.325524\pi\)
0.999699 0.0245323i \(-0.00780966\pi\)
\(98\) −6.40258 2.82965i −0.646759 0.285838i
\(99\) −14.3470 2.60033i −1.44193 0.261343i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 2.93286 0.291831 0.145915 0.989297i \(-0.453387\pi\)
0.145915 + 0.989297i \(0.453387\pi\)
\(102\) −4.07287 1.49340i −0.403274 0.147869i
\(103\) 2.58519i 0.254727i −0.991856 0.127363i \(-0.959349\pi\)
0.991856 0.127363i \(-0.0406514\pi\)
\(104\) −1.97532 + 3.42136i −0.193696 + 0.335492i
\(105\) −3.35465 + 3.12191i −0.327381 + 0.304667i
\(106\) −2.84225 4.92292i −0.276064 0.478157i
\(107\) −6.46896 + 3.73486i −0.625378 + 0.361062i −0.778960 0.627074i \(-0.784252\pi\)
0.153582 + 0.988136i \(0.450919\pi\)
\(108\) −4.48131 2.63018i −0.431214 0.253089i
\(109\) −8.23189 + 14.2581i −0.788472 + 1.36567i 0.138430 + 0.990372i \(0.455794\pi\)
−0.926903 + 0.375302i \(0.877539\pi\)
\(110\) 2.43013 4.20911i 0.231704 0.401323i
\(111\) 2.17144 5.92205i 0.206104 0.562096i
\(112\) 2.35902 + 1.19792i 0.222907 + 0.113193i
\(113\) 2.91952 + 1.68559i 0.274646 + 0.158567i 0.630997 0.775785i \(-0.282646\pi\)
−0.356351 + 0.934352i \(0.615979\pi\)
\(114\) −1.23373 1.47744i −0.115550 0.138375i
\(115\) 3.30404i 0.308104i
\(116\) 3.70789 + 2.14075i 0.344269 + 0.198764i
\(117\) −7.66146 + 9.04269i −0.708302 + 0.835997i
\(118\) 1.39292i 0.128229i
\(119\) 5.90833 + 3.00027i 0.541615 + 0.275034i
\(120\) 1.32948 1.11018i 0.121364 0.101345i
\(121\) −12.6222 −1.14747
\(122\) −4.60187 7.97067i −0.416634 0.721631i
\(123\) 13.3444 2.32021i 1.20323 0.209206i
\(124\) 6.40644 + 3.69876i 0.575315 + 0.332158i
\(125\) −1.00000 −0.0894427
\(126\) 6.32271 + 4.79827i 0.563271 + 0.427464i
\(127\) 14.4595 1.28307 0.641535 0.767093i \(-0.278298\pi\)
0.641535 + 0.767093i \(0.278298\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) 4.32525 11.7960i 0.380817 1.03858i
\(130\) −1.97532 3.42136i −0.173247 0.300073i
\(131\) −13.1850 −1.15198 −0.575988 0.817458i \(-0.695382\pi\)
−0.575988 + 0.817458i \(0.695382\pi\)
\(132\) −7.90366 2.89804i −0.687925 0.252242i
\(133\) 1.60472 + 2.46367i 0.139147 + 0.213627i
\(134\) 6.01448i 0.519572i
\(135\) 4.51846 2.56584i 0.388887 0.220832i
\(136\) −2.16902 1.25228i −0.185992 0.107382i
\(137\) 10.3775i 0.886614i −0.896370 0.443307i \(-0.853805\pi\)
0.896370 0.443307i \(-0.146195\pi\)
\(138\) −5.63818 + 0.980316i −0.479954 + 0.0834501i
\(139\) −7.92494 4.57547i −0.672185 0.388086i 0.124719 0.992192i \(-0.460197\pi\)
−0.796904 + 0.604106i \(0.793530\pi\)
\(140\) −2.21694 + 1.44401i −0.187366 + 0.122041i
\(141\) 19.9401 3.46701i 1.67926 0.291975i
\(142\) −4.83193 + 8.36915i −0.405487 + 0.702324i
\(143\) −9.60058 + 16.6287i −0.802841 + 1.39056i
\(144\) −2.28892 1.93929i −0.190743 0.161608i
\(145\) −3.70789 + 2.14075i −0.307923 + 0.177780i
\(146\) 6.96114 + 12.0570i 0.576108 + 0.997848i
\(147\) −8.72451 8.41920i −0.719585 0.694404i
\(148\) 1.82085 3.15380i 0.149673 0.259241i
\(149\) 24.1838i 1.98121i 0.136746 + 0.990606i \(0.456336\pi\)
−0.136746 + 0.990606i \(0.543664\pi\)
\(150\) 0.296702 + 1.70645i 0.0242256 + 0.139331i
\(151\) −22.9956 −1.87136 −0.935679 0.352851i \(-0.885212\pi\)
−0.935679 + 0.352851i \(0.885212\pi\)
\(152\) −0.555647 0.962409i −0.0450689 0.0780617i
\(153\) −5.73274 4.85709i −0.463465 0.392672i
\(154\) 11.4655 + 5.82221i 0.923914 + 0.469167i
\(155\) −6.40644 + 3.69876i −0.514578 + 0.297091i
\(156\) −5.25229 + 4.38591i −0.420520 + 0.351154i
\(157\) 7.00637 4.04513i 0.559169 0.322836i −0.193643 0.981072i \(-0.562030\pi\)
0.752812 + 0.658236i \(0.228697\pi\)
\(158\) 6.78809 3.91911i 0.540032 0.311787i
\(159\) −1.68660 9.70031i −0.133756 0.769285i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) 8.72906 0.469446i 0.687947 0.0369975i
\(162\) −5.71911 6.94923i −0.449336 0.545983i
\(163\) −0.616736 1.06822i −0.0483065 0.0836693i 0.840861 0.541251i \(-0.182049\pi\)
−0.889168 + 0.457582i \(0.848716\pi\)
\(164\) 7.81999 0.610639
\(165\) 6.46161 5.39575i 0.503036 0.420058i
\(166\) 0.787736i 0.0611401i
\(167\) 5.43643 9.41617i 0.420683 0.728645i −0.575323 0.817926i \(-0.695124\pi\)
0.996006 + 0.0892813i \(0.0284570\pi\)
\(168\) 3.12191 + 3.35465i 0.240860 + 0.258817i
\(169\) 1.30379 + 2.25823i 0.100292 + 0.173710i
\(170\) 2.16902 1.25228i 0.166356 0.0960457i
\(171\) −1.12531 3.13822i −0.0860547 0.239986i
\(172\) 3.62690 6.28198i 0.276549 0.478997i
\(173\) 2.88695 5.00034i 0.219491 0.380169i −0.735162 0.677892i \(-0.762894\pi\)
0.954652 + 0.297723i \(0.0962271\pi\)
\(174\) 4.75322 + 5.69215i 0.360340 + 0.431521i
\(175\) −0.142082 2.64193i −0.0107404 0.199711i
\(176\) −4.20911 2.43013i −0.317274 0.183178i
\(177\) 0.830562 2.26514i 0.0624289 0.170259i
\(178\) 14.9872i 1.12334i
\(179\) −4.85812 2.80484i −0.363113 0.209643i 0.307332 0.951602i \(-0.400564\pi\)
−0.670445 + 0.741959i \(0.733897\pi\)
\(180\) 2.82394 1.01261i 0.210484 0.0754758i
\(181\) 24.0589i 1.78828i −0.447784 0.894142i \(-0.647787\pi\)
0.447784 0.894142i \(-0.352213\pi\)
\(182\) 8.75834 5.70478i 0.649211 0.422867i
\(183\) −2.73077 15.7057i −0.201864 1.16100i
\(184\) −3.30404 −0.243577
\(185\) 1.82085 + 3.15380i 0.133871 + 0.231872i
\(186\) 8.21255 + 9.83483i 0.602173 + 0.721125i
\(187\) −10.5420 6.08642i −0.770907 0.445083i
\(188\) 11.6852 0.852227
\(189\) 7.42077 + 11.5729i 0.539782 + 0.841805i
\(190\) 1.11129 0.0806217
\(191\) 20.9885 + 12.1177i 1.51867 + 0.876807i 0.999758 + 0.0219813i \(0.00699743\pi\)
0.518916 + 0.854826i \(0.326336\pi\)
\(192\) −1.11018 1.32948i −0.0801200 0.0959467i
\(193\) 0.308738 + 0.534750i 0.0222235 + 0.0384921i 0.876923 0.480630i \(-0.159592\pi\)
−0.854700 + 0.519123i \(0.826259\pi\)
\(194\) 17.2952 1.24172
\(195\) −1.17216 6.74157i −0.0839404 0.482774i
\(196\) −4.12998 5.65184i −0.294998 0.403703i
\(197\) 2.28650i 0.162906i 0.996677 + 0.0814531i \(0.0259561\pi\)
−0.996677 + 0.0814531i \(0.974044\pi\)
\(198\) −11.1247 9.42548i −0.790601 0.669839i
\(199\) −3.60562 2.08171i −0.255596 0.147568i 0.366728 0.930328i \(-0.380478\pi\)
−0.622324 + 0.782760i \(0.713811\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) 3.58627 9.78062i 0.252956 0.689872i
\(202\) 2.53993 + 1.46643i 0.178709 + 0.103178i
\(203\) −6.18254 9.49182i −0.433929 0.666195i
\(204\) −2.78051 3.32976i −0.194675 0.233130i
\(205\) −3.91000 + 6.77231i −0.273086 + 0.472999i
\(206\) 1.29260 2.23884i 0.0900595 0.155988i
\(207\) −9.75323 1.76773i −0.677896 0.122865i
\(208\) −3.42136 + 1.97532i −0.237228 + 0.136964i
\(209\) −2.70059 4.67756i −0.186804 0.323554i
\(210\) −4.46617 + 1.02632i −0.308195 + 0.0708230i
\(211\) 1.26573 2.19231i 0.0871365 0.150925i −0.819163 0.573561i \(-0.805562\pi\)
0.906300 + 0.422636i \(0.138895\pi\)
\(212\) 5.68450i 0.390413i
\(213\) −12.8479 + 10.7286i −0.880323 + 0.735111i
\(214\) −7.46971 −0.510619
\(215\) 3.62690 + 6.28198i 0.247353 + 0.428428i
\(216\) −2.56584 4.51846i −0.174583 0.307442i
\(217\) −10.6821 16.3999i −0.725149 1.11329i
\(218\) −14.2581 + 8.23189i −0.965677 + 0.557534i
\(219\) 4.13077 + 23.7576i 0.279131 + 1.60539i
\(220\) 4.20911 2.43013i 0.283778 0.163839i
\(221\) −8.56901 + 4.94732i −0.576414 + 0.332793i
\(222\) 4.84155 4.04292i 0.324944 0.271343i
\(223\) −9.62445 + 5.55668i −0.644501 + 0.372103i −0.786346 0.617786i \(-0.788030\pi\)
0.141845 + 0.989889i \(0.454696\pi\)
\(224\) 1.44401 + 2.21694i 0.0964822 + 0.148126i
\(225\) −0.535019 + 2.95191i −0.0356679 + 0.196794i
\(226\) 1.68559 + 2.91952i 0.112124 + 0.194204i
\(227\) −11.5284 −0.765168 −0.382584 0.923921i \(-0.624966\pi\)
−0.382584 + 0.923921i \(0.624966\pi\)
\(228\) −0.329723 1.89637i −0.0218364 0.125590i
\(229\) 26.2564i 1.73507i 0.497376 + 0.867535i \(0.334297\pi\)
−0.497376 + 0.867535i \(0.665703\pi\)
\(230\) 1.65202 2.86139i 0.108931 0.188674i
\(231\) 15.1733 + 16.3045i 0.998329 + 1.07276i
\(232\) 2.14075 + 3.70789i 0.140547 + 0.243435i
\(233\) −0.657636 + 0.379686i −0.0430832 + 0.0248741i −0.521387 0.853320i \(-0.674585\pi\)
0.478304 + 0.878194i \(0.341252\pi\)
\(234\) −11.1564 + 4.00048i −0.729314 + 0.261519i
\(235\) −5.84258 + 10.1196i −0.381128 + 0.660132i
\(236\) 0.696461 1.20631i 0.0453358 0.0785239i
\(237\) 13.3755 2.32561i 0.868833 0.151065i
\(238\) 3.61663 + 5.55247i 0.234431 + 0.359913i
\(239\) −21.2951 12.2947i −1.37746 0.795280i −0.385611 0.922661i \(-0.626009\pi\)
−0.991854 + 0.127382i \(0.959343\pi\)
\(240\) 1.70645 0.296702i 0.110151 0.0191520i
\(241\) 13.4712i 0.867754i −0.900972 0.433877i \(-0.857145\pi\)
0.900972 0.433877i \(-0.142855\pi\)
\(242\) −10.9311 6.31108i −0.702678 0.405691i
\(243\) −5.15666 14.7108i −0.330800 0.943701i
\(244\) 9.20374i 0.589209i
\(245\) 6.95963 0.750744i 0.444634 0.0479633i
\(246\) 12.7167 + 4.66285i 0.810788 + 0.297292i
\(247\) −4.39033 −0.279350
\(248\) 3.69876 + 6.40644i 0.234871 + 0.406809i
\(249\) 0.469705 1.28100i 0.0297664 0.0811800i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) −1.02268 −0.0645513 −0.0322756 0.999479i \(-0.510275\pi\)
−0.0322756 + 0.999479i \(0.510275\pi\)
\(252\) 3.07649 + 7.31678i 0.193801 + 0.460914i
\(253\) −16.0585 −1.00959
\(254\) 12.5223 + 7.22974i 0.785717 + 0.453634i
\(255\) 4.27391 0.743110i 0.267643 0.0465353i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 23.8069 1.48503 0.742517 0.669827i \(-0.233632\pi\)
0.742517 + 0.669827i \(0.233632\pi\)
\(258\) 9.64377 8.05300i 0.600395 0.501358i
\(259\) −8.07342 + 5.25866i −0.501658 + 0.326757i
\(260\) 3.95064i 0.245008i
\(261\) 4.33550 + 12.0907i 0.268361 + 0.748394i
\(262\) −11.4185 6.59248i −0.705438 0.407285i
\(263\) 7.59726i 0.468467i −0.972180 0.234234i \(-0.924742\pi\)
0.972180 0.234234i \(-0.0752580\pi\)
\(264\) −5.39575 6.46161i −0.332085 0.397684i
\(265\) 4.92292 + 2.84225i 0.302413 + 0.174598i
\(266\) 0.157895 + 2.93596i 0.00968118 + 0.180016i
\(267\) −8.93647 + 24.3719i −0.546903 + 1.49154i
\(268\) 3.00724 5.20869i 0.183696 0.318172i
\(269\) −3.58635 + 6.21175i −0.218664 + 0.378737i −0.954400 0.298532i \(-0.903503\pi\)
0.735736 + 0.677269i \(0.236836\pi\)
\(270\) 5.19602 + 0.0371456i 0.316220 + 0.00226061i
\(271\) −3.19806 + 1.84640i −0.194268 + 0.112161i −0.593979 0.804480i \(-0.702444\pi\)
0.399711 + 0.916641i \(0.369111\pi\)
\(272\) −1.25228 2.16902i −0.0759308 0.131516i
\(273\) 17.6442 4.05464i 1.06788 0.245398i
\(274\) 5.18877 8.98722i 0.313465 0.542938i
\(275\) 4.86026i 0.293085i
\(276\) −5.37297 1.97011i −0.323415 0.118587i
\(277\) 24.9090 1.49663 0.748317 0.663341i \(-0.230862\pi\)
0.748317 + 0.663341i \(0.230862\pi\)
\(278\) −4.57547 7.92494i −0.274418 0.475306i
\(279\) 7.49083 + 20.8901i 0.448464 + 1.25066i
\(280\) −2.64193 + 0.142082i −0.157886 + 0.00849104i
\(281\) −12.6865 + 7.32455i −0.756813 + 0.436946i −0.828150 0.560506i \(-0.810607\pi\)
0.0713375 + 0.997452i \(0.477273\pi\)
\(282\) 19.0022 + 6.96754i 1.13156 + 0.414911i
\(283\) 5.49922 3.17497i 0.326895 0.188733i −0.327567 0.944828i \(-0.606229\pi\)
0.654462 + 0.756095i \(0.272895\pi\)
\(284\) −8.36915 + 4.83193i −0.496618 + 0.286722i
\(285\) 1.80716 + 0.662634i 0.107047 + 0.0392511i
\(286\) −16.6287 + 9.60058i −0.983275 + 0.567694i
\(287\) −18.4475 9.36772i −1.08892 0.552959i
\(288\) −1.01261 2.82394i −0.0596688 0.166402i
\(289\) 5.36358 + 9.28999i 0.315504 + 0.546470i
\(290\) −4.28150 −0.251418
\(291\) 28.1251 + 10.3127i 1.64872 + 0.604539i
\(292\) 13.9223i 0.814739i
\(293\) 1.79507 3.10915i 0.104869 0.181638i −0.808816 0.588062i \(-0.799891\pi\)
0.913685 + 0.406424i \(0.133224\pi\)
\(294\) −3.34604 11.6535i −0.195145 0.679646i
\(295\) 0.696461 + 1.20631i 0.0405496 + 0.0702339i
\(296\) 3.15380 1.82085i 0.183311 0.105835i
\(297\) −12.4707 21.9609i −0.723621 1.27430i
\(298\) −12.0919 + 20.9438i −0.700464 + 1.21324i
\(299\) −6.52655 + 11.3043i −0.377440 + 0.653745i
\(300\) −0.596273 + 1.62618i −0.0344258 + 0.0938875i
\(301\) −16.0813 + 10.4746i −0.926908 + 0.603746i
\(302\) −19.9148 11.4978i −1.14597 0.661625i
\(303\) 3.25599 + 3.89917i 0.187052 + 0.224001i
\(304\) 1.11129i 0.0637371i
\(305\) 7.97067 + 4.60187i 0.456399 + 0.263502i
\(306\) −2.53616 7.07273i −0.144982 0.404321i
\(307\) 11.0589i 0.631166i −0.948898 0.315583i \(-0.897800\pi\)
0.948898 0.315583i \(-0.102200\pi\)
\(308\) 7.01829 + 10.7749i 0.399904 + 0.613958i
\(309\) 3.43696 2.87002i 0.195522 0.163270i
\(310\) −7.39752 −0.420151
\(311\) −6.97233 12.0764i −0.395364 0.684791i 0.597783 0.801658i \(-0.296048\pi\)
−0.993148 + 0.116867i \(0.962715\pi\)
\(312\) −6.74157 + 1.17216i −0.381666 + 0.0663607i
\(313\) 11.4932 + 6.63558i 0.649632 + 0.375065i 0.788315 0.615272i \(-0.210954\pi\)
−0.138683 + 0.990337i \(0.544287\pi\)
\(314\) 8.09026 0.456560
\(315\) −7.87476 0.994070i −0.443692 0.0560095i
\(316\) 7.83821 0.440934
\(317\) 3.85429 + 2.22528i 0.216478 + 0.124984i 0.604319 0.796743i \(-0.293445\pi\)
−0.387840 + 0.921727i \(0.626779\pi\)
\(318\) 3.38952 9.24402i 0.190075 0.518379i
\(319\) 10.4046 + 18.0213i 0.582546 + 1.00900i
\(320\) 1.00000 0.0559017
\(321\) −12.1471 4.45399i −0.677984 0.248597i
\(322\) 7.79431 + 3.95798i 0.434360 + 0.220570i
\(323\) 2.78331i 0.154867i
\(324\) −1.47828 8.87776i −0.0821268 0.493209i
\(325\) 3.42136 + 1.97532i 0.189783 + 0.109571i
\(326\) 1.23347i 0.0683157i
\(327\) −28.0946 + 4.88484i −1.55364 + 0.270132i
\(328\) 6.77231 + 3.91000i 0.373938 + 0.215893i
\(329\) −27.5655 13.9979i −1.51974 0.771728i
\(330\) 8.29379 1.44205i 0.456558 0.0793822i
\(331\) −3.91980 + 6.78928i −0.215451 + 0.373173i −0.953412 0.301671i \(-0.902456\pi\)
0.737961 + 0.674844i \(0.235789\pi\)
\(332\) 0.393868 0.682199i 0.0216163 0.0374405i
\(333\) 10.2839 3.68763i 0.563555 0.202081i
\(334\) 9.41617 5.43643i 0.515230 0.297468i
\(335\) 3.00724 + 5.20869i 0.164303 + 0.284581i
\(336\) 1.02632 + 4.46617i 0.0559905 + 0.243649i
\(337\) −4.66042 + 8.07208i −0.253869 + 0.439714i −0.964588 0.263762i \(-0.915037\pi\)
0.710719 + 0.703476i \(0.248370\pi\)
\(338\) 2.60758i 0.141834i
\(339\) 1.00023 + 5.75274i 0.0543253 + 0.312446i
\(340\) 2.50457 0.135829
\(341\) 17.9769 + 31.1370i 0.973506 + 1.68616i
\(342\) 0.594563 3.28044i 0.0321503 0.177386i
\(343\) 2.97226 + 18.2802i 0.160487 + 0.987038i
\(344\) 6.28198 3.62690i 0.338702 0.195550i
\(345\) 4.39265 3.66807i 0.236492 0.197482i
\(346\) 5.00034 2.88695i 0.268820 0.155203i
\(347\) −25.6810 + 14.8269i −1.37863 + 0.795951i −0.991994 0.126283i \(-0.959695\pi\)
−0.386633 + 0.922234i \(0.626362\pi\)
\(348\) 1.27033 + 7.30616i 0.0680968 + 0.391651i
\(349\) 28.0322 16.1844i 1.50053 0.866330i 0.500528 0.865720i \(-0.333139\pi\)
1.00000 0.000609911i \(-0.000194141\pi\)
\(350\) 1.19792 2.35902i 0.0640315 0.126095i
\(351\) −20.5276 0.146749i −1.09568 0.00783288i
\(352\) −2.43013 4.20911i −0.129526 0.224346i
\(353\) 6.05699 0.322381 0.161191 0.986923i \(-0.448467\pi\)
0.161191 + 0.986923i \(0.448467\pi\)
\(354\) 1.85186 1.54639i 0.0984252 0.0821897i
\(355\) 9.66386i 0.512905i
\(356\) −7.49361 + 12.9793i −0.397160 + 0.687902i
\(357\) 2.57049 + 11.1858i 0.136045 + 0.592016i
\(358\) −2.80484 4.85812i −0.148240 0.256760i
\(359\) 11.4661 6.61995i 0.605157 0.349388i −0.165911 0.986141i \(-0.553056\pi\)
0.771068 + 0.636753i \(0.219723\pi\)
\(360\) 2.95191 + 0.535019i 0.155579 + 0.0281980i
\(361\) −8.88251 + 15.3850i −0.467501 + 0.809735i
\(362\) 12.0294 20.8356i 0.632254 1.09510i
\(363\) −14.0128 16.7809i −0.735482 0.880767i
\(364\) 10.4373 0.561317i 0.547065 0.0294210i
\(365\) −12.0570 6.96114i −0.631094 0.364362i
\(366\) 5.48794 14.9669i 0.286859 0.782334i
\(367\) 17.8999i 0.934366i 0.884161 + 0.467183i \(0.154731\pi\)
−0.884161 + 0.467183i \(0.845269\pi\)
\(368\) −2.86139 1.65202i −0.149160 0.0861176i
\(369\) 17.8993 + 15.1653i 0.931801 + 0.789472i
\(370\) 3.64170i 0.189323i
\(371\) −6.80958 + 13.4099i −0.353536 + 0.696206i
\(372\) 2.19486 + 12.6235i 0.113798 + 0.654497i
\(373\) −4.52467 −0.234279 −0.117139 0.993115i \(-0.537372\pi\)
−0.117139 + 0.993115i \(0.537372\pi\)
\(374\) −6.08642 10.5420i −0.314721 0.545114i
\(375\) −1.11018 1.32948i −0.0573292 0.0686539i
\(376\) 10.1196 + 5.84258i 0.521881 + 0.301308i
\(377\) 16.9147 0.871150
\(378\) 0.640127 + 13.7328i 0.0329246 + 0.706340i
\(379\) −7.47021 −0.383719 −0.191860 0.981422i \(-0.561452\pi\)
−0.191860 + 0.981422i \(0.561452\pi\)
\(380\) 0.962409 + 0.555647i 0.0493705 + 0.0285041i
\(381\) 16.0526 + 19.2235i 0.822398 + 0.984852i
\(382\) 12.1177 + 20.9885i 0.619996 + 1.07386i
\(383\) −33.0831 −1.69047 −0.845234 0.534396i \(-0.820539\pi\)
−0.845234 + 0.534396i \(0.820539\pi\)
\(384\) −0.296702 1.70645i −0.0151410 0.0870819i
\(385\) −12.8405 + 0.690557i −0.654412 + 0.0351941i
\(386\) 0.617476i 0.0314287i
\(387\) 20.4843 7.34530i 1.04127 0.373383i
\(388\) 14.9781 + 8.64760i 0.760397 + 0.439015i
\(389\) 36.4482i 1.84800i −0.382395 0.923999i \(-0.624901\pi\)
0.382395 0.923999i \(-0.375099\pi\)
\(390\) 2.35566 6.42445i 0.119284 0.325315i
\(391\) −7.16653 4.13760i −0.362427 0.209247i
\(392\) −0.750744 6.95963i −0.0379183 0.351514i
\(393\) −14.6376 17.5291i −0.738370 0.884226i
\(394\) −1.14325 + 1.98016i −0.0575960 + 0.0997593i
\(395\) −3.91911 + 6.78809i −0.197192 + 0.341546i
\(396\) −4.92157 13.7251i −0.247318 0.689711i
\(397\) −13.3331 + 7.69789i −0.669171 + 0.386346i −0.795762 0.605609i \(-0.792930\pi\)
0.126592 + 0.991955i \(0.459596\pi\)
\(398\) −2.08171 3.60562i −0.104346 0.180733i
\(399\) −1.49387 + 4.86855i −0.0747871 + 0.243732i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 16.4073i 0.819341i 0.912234 + 0.409670i \(0.134356\pi\)
−0.912234 + 0.409670i \(0.865644\pi\)
\(402\) 7.99611 6.67713i 0.398810 0.333025i
\(403\) 29.2250 1.45580
\(404\) 1.46643 + 2.53993i 0.0729576 + 0.126366i
\(405\) 8.42751 + 3.15865i 0.418766 + 0.156955i
\(406\) −0.608325 11.3114i −0.0301907 0.561377i
\(407\) 15.3283 8.84980i 0.759796 0.438668i
\(408\) −0.743110 4.27391i −0.0367894 0.211590i
\(409\) −18.3018 + 10.5665i −0.904964 + 0.522481i −0.878807 0.477177i \(-0.841660\pi\)
−0.0261565 + 0.999658i \(0.508327\pi\)
\(410\) −6.77231 + 3.91000i −0.334461 + 0.193101i
\(411\) 13.7967 11.5209i 0.680541 0.568284i
\(412\) 2.23884 1.29260i 0.110300 0.0636817i
\(413\) −3.08803 + 2.01140i −0.151952 + 0.0989745i
\(414\) −7.56268 6.40751i −0.371686 0.314912i
\(415\) 0.393868 + 0.682199i 0.0193342 + 0.0334878i
\(416\) −3.95064 −0.193696
\(417\) −2.71510 15.6156i −0.132959 0.764699i
\(418\) 5.40118i 0.264180i
\(419\) 2.31087 4.00254i 0.112893 0.195537i −0.804042 0.594572i \(-0.797322\pi\)
0.916936 + 0.399035i \(0.130655\pi\)
\(420\) −4.38098 1.34426i −0.213770 0.0655933i
\(421\) 1.15555 + 2.00148i 0.0563183 + 0.0975461i 0.892810 0.450433i \(-0.148731\pi\)
−0.836492 + 0.547979i \(0.815397\pi\)
\(422\) 2.19231 1.26573i 0.106720 0.0616148i
\(423\) 26.7463 + 22.6609i 1.30045 + 1.10181i
\(424\) 2.84225 4.92292i 0.138032 0.239078i
\(425\) −1.25228 + 2.16902i −0.0607446 + 0.105213i
\(426\) −16.4909 + 2.86729i −0.798986 + 0.138921i
\(427\) −11.0253 + 21.7118i −0.533554 + 1.05071i
\(428\) −6.46896 3.73486i −0.312689 0.180531i
\(429\) −32.7658 + 5.69702i −1.58195 + 0.275055i
\(430\) 7.25381i 0.349810i
\(431\) −21.3345 12.3175i −1.02765 0.593313i −0.111338 0.993783i \(-0.535514\pi\)
−0.916310 + 0.400469i \(0.868847\pi\)
\(432\) 0.0371456 5.19602i 0.00178717 0.249994i
\(433\) 6.55773i 0.315144i −0.987507 0.157572i \(-0.949633\pi\)
0.987507 0.157572i \(-0.0503667\pi\)
\(434\) −1.05106 19.5438i −0.0504523 0.938130i
\(435\) −6.96248 2.55294i −0.333825 0.122404i
\(436\) −16.4638 −0.788472
\(437\) −1.83588 3.17984i −0.0878221 0.152112i
\(438\) −8.30147 + 22.6401i −0.396660 + 1.08179i
\(439\) 28.0844 + 16.2145i 1.34040 + 0.773878i 0.986865 0.161545i \(-0.0516477\pi\)
0.353531 + 0.935423i \(0.384981\pi\)
\(440\) 4.86026 0.231704
\(441\) 1.50740 20.9458i 0.0717811 0.997420i
\(442\) −9.89465 −0.470640
\(443\) 0.204110 + 0.117843i 0.00969755 + 0.00559888i 0.504841 0.863212i \(-0.331551\pi\)
−0.495143 + 0.868811i \(0.664884\pi\)
\(444\) 6.21437 1.08050i 0.294921 0.0512782i
\(445\) −7.49361 12.9793i −0.355231 0.615278i
\(446\) −11.1134 −0.526233
\(447\) −32.1518 + 26.8482i −1.52073 + 1.26988i
\(448\) 0.142082 + 2.64193i 0.00671276 + 0.124820i
\(449\) 18.8068i 0.887549i −0.896139 0.443774i \(-0.853639\pi\)
0.896139 0.443774i \(-0.146361\pi\)
\(450\) −1.93929 + 2.28892i −0.0914192 + 0.107901i
\(451\) 32.9152 + 19.0036i 1.54992 + 0.894845i
\(452\) 3.37117i 0.158567i
\(453\) −25.5292 30.5722i −1.19947 1.43641i
\(454\) −9.98390 5.76421i −0.468568 0.270528i
\(455\) −4.73255 + 9.31966i −0.221866 + 0.436912i
\(456\) 0.662634 1.80716i 0.0310307 0.0846282i
\(457\) 9.30583 16.1182i 0.435308 0.753976i −0.562012 0.827129i \(-0.689973\pi\)
0.997321 + 0.0731525i \(0.0233060\pi\)
\(458\) −13.1282 + 22.7387i −0.613440 + 1.06251i
\(459\) 0.0930335 13.0138i 0.00434243 0.607431i
\(460\) 2.86139 1.65202i 0.133413 0.0770259i
\(461\) 13.7720 + 23.8538i 0.641426 + 1.11098i 0.985115 + 0.171898i \(0.0549901\pi\)
−0.343689 + 0.939084i \(0.611677\pi\)
\(462\) 4.98820 + 21.7068i 0.232072 + 1.00989i
\(463\) 0.239162 0.414241i 0.0111148 0.0192514i −0.860415 0.509595i \(-0.829795\pi\)
0.871529 + 0.490343i \(0.163129\pi\)
\(464\) 4.28150i 0.198764i
\(465\) −12.0297 4.41094i −0.557863 0.204552i
\(466\) −0.759373 −0.0351773
\(467\) −6.08486 10.5393i −0.281574 0.487700i 0.690199 0.723620i \(-0.257523\pi\)
−0.971773 + 0.235920i \(0.924190\pi\)
\(468\) −11.6619 2.11367i −0.539073 0.0977044i
\(469\) −13.3337 + 8.68499i −0.615695 + 0.401036i
\(470\) −10.1196 + 5.84258i −0.466784 + 0.269498i
\(471\) 13.1562 + 4.82400i 0.606206 + 0.222278i
\(472\) 1.20631 0.696461i 0.0555248 0.0320572i
\(473\) 30.5321 17.6277i 1.40387 0.810523i
\(474\) 12.7463 + 4.67372i 0.585459 + 0.214671i
\(475\) −0.962409 + 0.555647i −0.0441583 + 0.0254948i
\(476\) 0.355855 + 6.61690i 0.0163106 + 0.303285i
\(477\) 11.0239 13.0114i 0.504751 0.595749i
\(478\) −12.2947 21.2951i −0.562348 0.974015i
\(479\) −40.3538 −1.84381 −0.921906 0.387413i \(-0.873369\pi\)
−0.921906 + 0.387413i \(0.873369\pi\)
\(480\) 1.62618 + 0.596273i 0.0742246 + 0.0272160i
\(481\) 14.3870i 0.655992i
\(482\) 6.73558 11.6664i 0.306797 0.531389i
\(483\) 10.3149 + 11.0839i 0.469345 + 0.504336i
\(484\) −6.31108 10.9311i −0.286867 0.496868i
\(485\) −14.9781 + 8.64760i −0.680120 + 0.392667i
\(486\) 2.88962 15.3183i 0.131076 0.694852i
\(487\) −4.11277 + 7.12353i −0.186367 + 0.322798i −0.944036 0.329841i \(-0.893005\pi\)
0.757669 + 0.652639i \(0.226338\pi\)
\(488\) 4.60187 7.97067i 0.208317 0.360815i
\(489\) 0.735486 2.00585i 0.0332598 0.0907075i
\(490\) 6.40258 + 2.82965i 0.289239 + 0.127831i
\(491\) 9.11388 + 5.26190i 0.411303 + 0.237466i 0.691350 0.722520i \(-0.257016\pi\)
−0.280046 + 0.959987i \(0.590350\pi\)
\(492\) 8.68157 + 10.3965i 0.391395 + 0.468710i
\(493\) 10.7233i 0.482953i
\(494\) −3.80213 2.19516i −0.171066 0.0987650i
\(495\) 14.3470 + 2.60033i 0.644852 + 0.116876i
\(496\) 7.39752i 0.332158i
\(497\) 25.5313 1.37306i 1.14523 0.0615904i
\(498\) 1.04728 0.874525i 0.0469296 0.0391884i
\(499\) 0.850484 0.0380729 0.0190364 0.999819i \(-0.493940\pi\)
0.0190364 + 0.999819i \(0.493940\pi\)
\(500\) −0.500000 0.866025i −0.0223607 0.0387298i
\(501\) 18.5540 3.22600i 0.828930 0.144127i
\(502\) −0.885671 0.511342i −0.0395294 0.0228223i
\(503\) −21.5476 −0.960759 −0.480380 0.877061i \(-0.659501\pi\)
−0.480380 + 0.877061i \(0.659501\pi\)
\(504\) −0.994070 + 7.87476i −0.0442794 + 0.350770i
\(505\) −2.93286 −0.130511
\(506\) −13.9071 8.02926i −0.618245 0.356944i
\(507\) −1.55483 + 4.24039i −0.0690524 + 0.188323i
\(508\) 7.22974 + 12.5223i 0.320768 + 0.555586i
\(509\) −2.20898 −0.0979113 −0.0489556 0.998801i \(-0.515589\pi\)
−0.0489556 + 0.998801i \(0.515589\pi\)
\(510\) 4.07287 + 1.49340i 0.180350 + 0.0661291i
\(511\) 16.6778 32.8430i 0.737781 1.45289i
\(512\) 1.00000i 0.0441942i
\(513\) 2.92290 4.98005i 0.129049 0.219875i
\(514\) 20.6174 + 11.9035i 0.909394 + 0.525039i
\(515\) 2.58519i 0.113917i
\(516\) 12.3783 2.15222i 0.544922 0.0947462i
\(517\) 49.1841 + 28.3965i 2.16311 + 1.24887i
\(518\) −9.62112 + 0.517421i −0.422728 + 0.0227342i
\(519\) 9.85286 1.71313i 0.432493 0.0751979i
\(520\) 1.97532 3.42136i 0.0866236 0.150036i
\(521\) −12.0872 + 20.9356i −0.529548 + 0.917204i 0.469858 + 0.882742i \(0.344305\pi\)
−0.999406 + 0.0344623i \(0.989028\pi\)
\(522\) −2.29068 + 12.6386i −0.100260 + 0.553176i
\(523\) −10.3393 + 5.96937i −0.452104 + 0.261022i −0.708718 0.705492i \(-0.750726\pi\)
0.256614 + 0.966514i \(0.417393\pi\)
\(524\) −6.59248 11.4185i −0.287994 0.498820i
\(525\) 3.35465 3.12191i 0.146409 0.136251i
\(526\) 3.79863 6.57942i 0.165628 0.286876i
\(527\) 18.5276i 0.807074i
\(528\) −1.44205 8.29379i −0.0627572 0.360941i
\(529\) 12.0833 0.525361
\(530\) 2.84225 + 4.92292i 0.123460 + 0.213838i
\(531\) 3.93352 1.41049i 0.170700 0.0612102i
\(532\) −1.33124 + 2.62157i −0.0577166 + 0.113659i
\(533\) 26.7550 15.4470i 1.15889 0.669084i
\(534\) −19.9252 + 16.6384i −0.862246 + 0.720016i
\(535\) 6.46896 3.73486i 0.279678 0.161472i
\(536\) 5.20869 3.00724i 0.224981 0.129893i
\(537\) −1.66440 9.57262i −0.0718242 0.413089i
\(538\) −6.21175 + 3.58635i −0.267807 + 0.154619i
\(539\) −3.64881 33.8256i −0.157166 1.45697i
\(540\) 4.48131 + 2.63018i 0.192845 + 0.113185i
\(541\) 7.35700 + 12.7427i 0.316302 + 0.547852i 0.979713 0.200403i \(-0.0642253\pi\)
−0.663411 + 0.748255i \(0.730892\pi\)
\(542\) −3.69280 −0.158620
\(543\) 31.9857 26.7096i 1.37264 1.14622i
\(544\) 2.50457i 0.107382i
\(545\) 8.23189 14.2581i 0.352616 0.610748i
\(546\) 17.3077 + 5.31070i 0.740700 + 0.227277i
\(547\) 8.78526 + 15.2165i 0.375631 + 0.650611i 0.990421 0.138079i \(-0.0440928\pi\)
−0.614791 + 0.788690i \(0.710759\pi\)
\(548\) 8.98722 5.18877i 0.383915 0.221653i
\(549\) 17.8488 21.0666i 0.761766 0.899100i
\(550\) −2.43013 + 4.20911i −0.103621 + 0.179477i
\(551\) −2.37900 + 4.12055i −0.101349 + 0.175541i
\(552\) −3.66807 4.39265i −0.156123 0.186964i
\(553\) −18.4905 9.38955i −0.786297 0.399284i
\(554\) 21.5718 + 12.4545i 0.916498 + 0.529140i
\(555\) −2.17144 + 5.92205i −0.0921727 + 0.251377i
\(556\) 9.15093i 0.388086i
\(557\) −16.7457 9.66812i −0.709537 0.409652i 0.101352 0.994851i \(-0.467683\pi\)
−0.810890 + 0.585199i \(0.801016\pi\)
\(558\) −3.95781 + 21.8368i −0.167548 + 0.924425i
\(559\) 28.6572i 1.21207i
\(560\) −2.35902 1.19792i −0.0996869 0.0506214i
\(561\) −3.61171 20.7723i −0.152486 0.877009i
\(562\) −14.6491 −0.617935
\(563\) −12.0323 20.8406i −0.507103 0.878327i −0.999966 0.00822091i \(-0.997383\pi\)
0.492864 0.870107i \(-0.335950\pi\)
\(564\) 12.9726 + 15.5351i 0.546244 + 0.654148i
\(565\) −2.91952 1.68559i −0.122825 0.0709132i
\(566\) 6.34995 0.266908
\(567\) −7.14755 + 22.7137i −0.300169 + 0.953886i
\(568\) −9.66386 −0.405487
\(569\) −32.2967 18.6465i −1.35395 0.781703i −0.365149 0.930949i \(-0.618982\pi\)
−0.988800 + 0.149246i \(0.952315\pi\)
\(570\) 1.23373 + 1.47744i 0.0516753 + 0.0618831i
\(571\) −3.82570 6.62630i −0.160100 0.277302i 0.774804 0.632201i \(-0.217848\pi\)
−0.934905 + 0.354899i \(0.884515\pi\)
\(572\) −19.2012 −0.802841
\(573\) 7.19070 + 41.3565i 0.300396 + 1.72769i
\(574\) −11.2922 17.3365i −0.471326 0.723610i
\(575\) 3.30404i 0.137788i
\(576\) 0.535019 2.95191i 0.0222925 0.122996i
\(577\) 34.5692 + 19.9585i 1.43913 + 0.830884i 0.997789 0.0664543i \(-0.0211687\pi\)
0.441344 + 0.897338i \(0.354502\pi\)
\(578\) 10.7272i 0.446191i
\(579\) −0.368184 + 1.00413i −0.0153012 + 0.0417301i
\(580\) −3.70789 2.14075i −0.153962 0.0888898i
\(581\) −1.74636 + 1.13750i −0.0724513 + 0.0471915i
\(582\) 19.2007 + 22.9936i 0.795895 + 0.953114i
\(583\) 13.8141 23.9267i 0.572121 0.990943i
\(584\) −6.96114 + 12.0570i −0.288054 + 0.498924i
\(585\) 7.66146 9.04269i 0.316762 0.373869i
\(586\) 3.10915 1.79507i 0.128438 0.0741535i
\(587\) −12.0540 20.8782i −0.497523 0.861734i 0.502473 0.864593i \(-0.332423\pi\)
−0.999996 + 0.00285838i \(0.999090\pi\)
\(588\) 2.92899 11.7652i 0.120790 0.485191i
\(589\) −4.11041 + 7.11944i −0.169366 + 0.293351i
\(590\) 1.39292i 0.0573457i
\(591\) −3.03985 + 2.53841i −0.125043 + 0.104416i
\(592\) 3.64170 0.149673
\(593\) −7.23840 12.5373i −0.297246 0.514844i 0.678259 0.734823i \(-0.262735\pi\)
−0.975505 + 0.219978i \(0.929401\pi\)
\(594\) 0.180537 25.2540i 0.00740753 1.03619i
\(595\) −5.90833 3.00027i −0.242218 0.122999i
\(596\) −20.9438 + 12.0919i −0.857890 + 0.495303i
\(597\) −1.23529 7.10465i −0.0505571 0.290774i
\(598\) −11.3043 + 6.52655i −0.462268 + 0.266890i
\(599\) 14.7387 8.50937i 0.602205 0.347683i −0.167703 0.985838i \(-0.553635\pi\)
0.769909 + 0.638154i \(0.220302\pi\)
\(600\) −1.32948 + 1.11018i −0.0542757 + 0.0453227i
\(601\) −23.0713 + 13.3202i −0.941099 + 0.543344i −0.890305 0.455365i \(-0.849509\pi\)
−0.0507942 + 0.998709i \(0.516175\pi\)
\(602\) −19.1641 + 1.03064i −0.781070 + 0.0420057i
\(603\) 16.9845 6.09035i 0.691663 0.248018i
\(604\) −11.4978 19.9148i −0.467840 0.810322i
\(605\) 12.6222 0.513164
\(606\) 0.870185 + 5.00478i 0.0353489 + 0.203305i
\(607\) 30.2436i 1.22755i −0.789482 0.613774i \(-0.789651\pi\)
0.789482 0.613774i \(-0.210349\pi\)
\(608\) 0.555647 0.962409i 0.0225345 0.0390308i
\(609\) 5.75546 18.7571i 0.233223 0.760078i
\(610\) 4.60187 + 7.97067i 0.186324 + 0.322723i
\(611\) 39.9791 23.0819i 1.61738 0.933795i
\(612\) 1.33999 7.39324i 0.0541659 0.298854i
\(613\) −10.5704 + 18.3085i −0.426934 + 0.739472i −0.996599 0.0824054i \(-0.973740\pi\)
0.569665 + 0.821877i \(0.307073\pi\)
\(614\) 5.52946 9.57730i 0.223151 0.386508i
\(615\) −13.3444 + 2.32021i −0.538099 + 0.0935598i
\(616\) 0.690557 + 12.8405i 0.0278234 + 0.517358i
\(617\) 27.0032 + 15.5903i 1.08711 + 0.627641i 0.932805 0.360382i \(-0.117354\pi\)
0.154302 + 0.988024i \(0.450687\pi\)
\(618\) 4.41150 0.767032i 0.177457 0.0308546i
\(619\) 17.3939i 0.699119i −0.936914 0.349559i \(-0.886331\pi\)
0.936914 0.349559i \(-0.113669\pi\)
\(620\) −6.40644 3.69876i −0.257289 0.148546i
\(621\) −8.47765 14.9292i −0.340196 0.599087i
\(622\) 13.9447i 0.559130i
\(623\) 33.2258 21.6417i 1.33116 0.867058i
\(624\) −6.42445 2.35566i −0.257184 0.0943019i
\(625\) 1.00000 0.0400000
\(626\) 6.63558 + 11.4932i 0.265211 + 0.459359i
\(627\) 3.22058 8.78329i 0.128617 0.350771i
\(628\) 7.00637 + 4.04513i 0.279584 + 0.161418i
\(629\) 9.12086 0.363673
\(630\) −6.32271 4.79827i −0.251903 0.191168i
\(631\) −2.59501 −0.103306 −0.0516529 0.998665i \(-0.516449\pi\)
−0.0516529 + 0.998665i \(0.516449\pi\)
\(632\) 6.78809 + 3.91911i 0.270016 + 0.155894i
\(633\) 4.31981 0.751089i 0.171697 0.0298531i
\(634\) 2.22528 + 3.85429i 0.0883770 + 0.153073i
\(635\) −14.4595 −0.573807
\(636\) 7.55742 6.31080i 0.299671 0.250239i
\(637\) −25.2943 11.1789i −1.00220 0.442925i
\(638\) 20.8092i 0.823844i
\(639\) −28.5268 5.17035i −1.12850 0.204536i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 5.38544i 0.212712i 0.994328 + 0.106356i \(0.0339183\pi\)
−0.994328 + 0.106356i \(0.966082\pi\)
\(642\) −8.29269 9.93081i −0.327287 0.391938i
\(643\) −16.1682 9.33469i −0.637610 0.368124i 0.146083 0.989272i \(-0.453333\pi\)
−0.783693 + 0.621148i \(0.786667\pi\)
\(644\) 4.77108 + 7.32487i 0.188007 + 0.288640i
\(645\) −4.32525 + 11.7960i −0.170307 + 0.464467i
\(646\) 1.39165 2.41042i 0.0547539 0.0948365i
\(647\) −2.10117 + 3.63934i −0.0826056 + 0.143077i −0.904368 0.426753i \(-0.859658\pi\)
0.821763 + 0.569830i \(0.192991\pi\)
\(648\) 3.15865 8.42751i 0.124084 0.331064i
\(649\) 5.86297 3.38499i 0.230142 0.132872i
\(650\) 1.97532 + 3.42136i 0.0774785 + 0.134197i
\(651\) 9.94420 32.4084i 0.389744 1.27018i
\(652\) 0.616736 1.06822i 0.0241532 0.0418346i
\(653\) 26.6081i 1.04126i −0.853783 0.520628i \(-0.825698\pi\)
0.853783 0.520628i \(-0.174302\pi\)
\(654\) −26.7731 9.81691i −1.04691 0.383872i
\(655\) 13.1850 0.515179
\(656\) 3.91000 + 6.77231i 0.152660 + 0.264414i
\(657\) −26.9994 + 31.8669i −1.05335 + 1.24325i
\(658\) −16.8735 25.9053i −0.657798 1.00989i
\(659\) 35.1130 20.2725i 1.36781 0.789704i 0.377160 0.926148i \(-0.376901\pi\)
0.990648 + 0.136444i \(0.0435674\pi\)
\(660\) 7.90366 + 2.89804i 0.307649 + 0.112806i
\(661\) −24.0371 + 13.8778i −0.934936 + 0.539785i −0.888369 0.459130i \(-0.848161\pi\)
−0.0465665 + 0.998915i \(0.514828\pi\)
\(662\) −6.78928 + 3.91980i −0.263873 + 0.152347i
\(663\) −16.0905 5.89991i −0.624902 0.229134i
\(664\) 0.682199 0.393868i 0.0264745 0.0152850i
\(665\) −1.60472 2.46367i −0.0622285 0.0955371i
\(666\) 10.7499 + 1.94838i 0.416552 + 0.0754980i
\(667\) 7.07313 + 12.2510i 0.273873 + 0.474361i
\(668\) 10.8729 0.420683
\(669\) −18.0723 6.62659i −0.698716 0.256199i
\(670\) 6.01448i 0.232360i
\(671\) 22.3663 38.7396i 0.863441 1.49552i
\(672\) −1.34426 + 4.38098i −0.0518560 + 0.169000i
\(673\) 19.5469 + 33.8562i 0.753477 + 1.30506i 0.946128 + 0.323794i \(0.104958\pi\)
−0.192650 + 0.981267i \(0.561708\pi\)
\(674\) −8.07208 + 4.66042i −0.310925 + 0.179513i
\(675\) −4.51846 + 2.56584i −0.173916 + 0.0987593i
\(676\) −1.30379 + 2.25823i −0.0501458 + 0.0868551i
\(677\) −19.0123 + 32.9302i −0.730700 + 1.26561i 0.225884 + 0.974154i \(0.427473\pi\)
−0.956584 + 0.291456i \(0.905860\pi\)
\(678\) −2.01014 + 5.48213i −0.0771990 + 0.210540i
\(679\) −24.9745 38.3424i −0.958434 1.47145i
\(680\) 2.16902 + 1.25228i 0.0831780 + 0.0480229i
\(681\) −12.7986 15.3268i −0.490442 0.587323i
\(682\) 35.9539i 1.37675i
\(683\) −27.3258 15.7765i −1.04559 0.603673i −0.124180 0.992260i \(-0.539630\pi\)
−0.921412 + 0.388587i \(0.872963\pi\)
\(684\) 2.15512 2.54366i 0.0824033 0.0972592i
\(685\) 10.3775i 0.396506i
\(686\) −6.56605 + 17.3172i −0.250693 + 0.661175i
\(687\) −34.9073 + 29.1492i −1.33179 + 1.11211i
\(688\) 7.25381 0.276549
\(689\) −11.2287 19.4487i −0.427780 0.740937i
\(690\) 5.63818 0.980316i 0.214642 0.0373200i
\(691\) −41.9888 24.2422i −1.59733 0.922218i −0.991999 0.126242i \(-0.959708\pi\)
−0.605329 0.795976i \(-0.706958\pi\)
\(692\) 5.77390 0.219491
\(693\) −4.83144 + 38.2734i −0.183531 + 1.45389i
\(694\) −29.6538 −1.12564
\(695\) 7.92494 + 4.57547i 0.300610 + 0.173557i
\(696\) −2.55294 + 6.96248i −0.0967690 + 0.263912i
\(697\) 9.79284 + 16.9617i 0.370930 + 0.642470i
\(698\) 32.3688 1.22518
\(699\) −1.23488 0.452793i −0.0467073 0.0171262i
\(700\) 2.21694 1.44401i 0.0837925 0.0545786i
\(701\) 48.2125i 1.82096i −0.413553 0.910480i \(-0.635712\pi\)
0.413553 0.910480i \(-0.364288\pi\)
\(702\) −17.7041 10.3909i −0.668197 0.392179i
\(703\) 3.50480 + 2.02350i 0.132186 + 0.0763176i
\(704\) 4.86026i 0.183178i
\(705\) −19.9401 + 3.46701i −0.750988 + 0.130575i
\(706\) 5.24551 + 3.02849i 0.197417 + 0.113979i
\(707\) −0.416708 7.74842i −0.0156719 0.291409i
\(708\) 2.37695 0.413283i 0.0893313 0.0155321i
\(709\) −19.3691 + 33.5483i −0.727422 + 1.25993i 0.230547 + 0.973061i \(0.425948\pi\)
−0.957969 + 0.286871i \(0.907385\pi\)
\(710\) 4.83193 8.36915i 0.181339 0.314089i
\(711\) 17.9410 + 15.2006i 0.672841 + 0.570067i
\(712\) −12.9793 + 7.49361i −0.486420 + 0.280835i
\(713\) 12.2209 + 21.1672i 0.457675 + 0.792716i
\(714\) −3.36679 + 10.9724i −0.125999 + 0.410633i
\(715\) 9.60058 16.6287i 0.359041 0.621878i
\(716\) 5.60968i 0.209643i
\(717\) −7.29574 41.9606i −0.272464 1.56705i
\(718\) 13.2399 0.494109
\(719\) 8.83033 + 15.2946i 0.329316 + 0.570392i 0.982376 0.186914i \(-0.0598486\pi\)
−0.653060 + 0.757306i \(0.726515\pi\)
\(720\) 2.28892 + 1.93929i 0.0853029 + 0.0722732i
\(721\) −6.82991 + 0.367310i −0.254359 + 0.0136794i
\(722\) −15.3850 + 8.88251i −0.572569 + 0.330573i
\(723\) 17.9096 14.9554i 0.666065 0.556196i
\(724\) 20.8356 12.0294i 0.774349 0.447071i
\(725\) 3.70789 2.14075i 0.137707 0.0795054i
\(726\) −3.74502 21.5391i −0.138991 0.799390i
\(727\) 15.3445 8.85913i 0.569094 0.328567i −0.187693 0.982228i \(-0.560101\pi\)
0.756788 + 0.653661i \(0.226768\pi\)
\(728\) 9.31966 + 4.73255i 0.345409 + 0.175400i
\(729\) 13.8329 23.1873i 0.512330 0.858788i
\(730\) −6.96114 12.0570i −0.257643 0.446251i
\(731\) 18.1676 0.671954
\(732\) 12.2362 10.2178i 0.452262 0.377660i
\(733\) 38.6147i 1.42627i −0.701028 0.713133i \(-0.747275\pi\)
0.701028 0.713133i \(-0.252725\pi\)
\(734\) −8.94994 + 15.5018i −0.330348 + 0.572180i
\(735\) 8.72451 + 8.41920i 0.321808 + 0.310547i
\(736\) −1.65202 2.86139i −0.0608943 0.105472i
\(737\) 25.3156 14.6160i 0.932513 0.538386i
\(738\) 7.91863 + 22.0832i 0.291489 + 0.812892i
\(739\) 18.1858 31.4988i 0.668976 1.15870i −0.309215 0.950992i \(-0.600066\pi\)
0.978191 0.207708i \(-0.0666004\pi\)
\(740\) −1.82085 + 3.15380i −0.0669357 + 0.115936i
\(741\) −4.87403 5.83684i −0.179052 0.214422i
\(742\) −12.6022 + 8.20850i −0.462642 + 0.301344i
\(743\) 28.2741 + 16.3241i 1.03728 + 0.598872i 0.919061 0.394116i \(-0.128949\pi\)
0.118216 + 0.992988i \(0.462283\pi\)
\(744\) −4.41094 + 12.0297i −0.161713 + 0.441030i
\(745\) 24.1838i 0.886025i
\(746\) −3.91848 2.26234i −0.143466 0.0828300i
\(747\) 2.22451 0.797672i 0.0813907 0.0291853i
\(748\) 12.1728i 0.445083i
\(749\) 10.7864 + 16.5599i 0.394125 + 0.605086i
\(750\) −0.296702 1.70645i −0.0108340 0.0623107i
\(751\) 12.3870 0.452008 0.226004 0.974126i \(-0.427434\pi\)
0.226004 + 0.974126i \(0.427434\pi\)
\(752\) 5.84258 + 10.1196i 0.213057 + 0.369025i
\(753\) −1.13536 1.35964i −0.0413748 0.0495479i
\(754\) 14.6485 + 8.45733i 0.533468 + 0.307998i
\(755\) 22.9956 0.836897
\(756\) −6.31204 + 12.2130i −0.229567 + 0.444184i
\(757\) 39.2473 1.42647 0.713234 0.700926i \(-0.247230\pi\)
0.713234 + 0.700926i \(0.247230\pi\)
\(758\) −6.46940 3.73511i −0.234979 0.135665i
\(759\) −17.8278 21.3494i −0.647108 0.774935i
\(760\) 0.555647 + 0.962409i 0.0201554 + 0.0349102i
\(761\) −14.0678 −0.509957 −0.254979 0.966947i \(-0.582068\pi\)
−0.254979 + 0.966947i \(0.582068\pi\)
\(762\) 4.29016 + 24.6744i 0.155416 + 0.893858i
\(763\) 38.8384 + 19.7223i 1.40605 + 0.713995i
\(764\) 24.2354i 0.876807i
\(765\) 5.73274 + 4.85709i 0.207268 + 0.175608i
\(766\) −28.6508 16.5416i