Properties

Label 96.2.o.a.11.12
Level 96
Weight 2
Character 96.11
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 11.12
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.12

$q$-expansion

\(f(q)\) \(=\) \(q+(1.09490 + 0.895090i) q^{2} +(1.47792 - 0.903198i) q^{3} +(0.397627 + 1.96007i) q^{4} +(-2.81491 - 1.16597i) q^{5} +(2.42662 + 0.333953i) q^{6} +(-0.543879 + 0.543879i) q^{7} +(-1.31908 + 2.50200i) q^{8} +(1.36847 - 2.66970i) q^{9} +O(q^{10})\) \(q+(1.09490 + 0.895090i) q^{2} +(1.47792 - 0.903198i) q^{3} +(0.397627 + 1.96007i) q^{4} +(-2.81491 - 1.16597i) q^{5} +(2.42662 + 0.333953i) q^{6} +(-0.543879 + 0.543879i) q^{7} +(-1.31908 + 2.50200i) q^{8} +(1.36847 - 2.66970i) q^{9} +(-2.03840 - 3.79622i) q^{10} +(-3.96678 - 1.64309i) q^{11} +(2.35799 + 2.53769i) q^{12} +(1.13904 + 2.74988i) q^{13} +(-1.08232 + 0.108674i) q^{14} +(-5.21329 + 0.819208i) q^{15} +(-3.68379 + 1.55876i) q^{16} +5.73443 q^{17} +(3.88796 - 1.69816i) q^{18} +(0.0793211 - 0.0328559i) q^{19} +(1.16611 - 5.98105i) q^{20} +(-0.312577 + 1.29504i) q^{21} +(-2.87252 - 5.34965i) q^{22} +(-1.46457 + 1.46457i) q^{23} +(0.310315 + 4.88914i) q^{24} +(3.02867 + 3.02867i) q^{25} +(-1.21426 + 4.03040i) q^{26} +(-0.388788 - 5.18159i) q^{27} +(-1.28230 - 0.849782i) q^{28} +(0.520422 + 1.25641i) q^{29} +(-6.44132 - 3.76942i) q^{30} -5.64072i q^{31} +(-5.42862 - 1.59063i) q^{32} +(-7.34659 + 1.15443i) q^{33} +(6.27865 + 5.13283i) q^{34} +(2.16511 - 0.896820i) q^{35} +(5.77695 + 1.62075i) q^{36} +(4.19628 - 10.1307i) q^{37} +(0.116258 + 0.0350255i) q^{38} +(4.16709 + 3.03532i) q^{39} +(6.63035 - 5.50489i) q^{40} +(4.93573 + 4.93573i) q^{41} +(-1.50142 + 1.13816i) q^{42} +(-3.50661 + 8.46571i) q^{43} +(1.64329 - 8.42851i) q^{44} +(-6.96490 + 5.91936i) q^{45} +(-2.91449 + 0.292641i) q^{46} +8.98904i q^{47} +(-4.03646 + 5.63090i) q^{48} +6.40839i q^{49} +(0.605168 + 6.02703i) q^{50} +(8.47500 - 5.17932i) q^{51} +(-4.93706 + 3.32603i) q^{52} +(1.04873 - 2.53186i) q^{53} +(4.21230 - 6.02134i) q^{54} +(9.25030 + 9.25030i) q^{55} +(-0.643367 - 2.07821i) q^{56} +(0.0875545 - 0.120201i) q^{57} +(-0.554789 + 1.84147i) q^{58} +(-0.498592 + 1.20371i) q^{59} +(-3.67866 - 9.89271i) q^{60} +(-3.69353 + 1.52991i) q^{61} +(5.04896 - 6.17605i) q^{62} +(0.707713 + 2.19627i) q^{63} +(-4.52005 - 6.60069i) q^{64} -9.06875i q^{65} +(-9.07713 - 5.31187i) q^{66} +(-3.35550 - 8.10090i) q^{67} +(2.28016 + 11.2399i) q^{68} +(-0.841717 + 3.48732i) q^{69} +(3.17333 + 0.956042i) q^{70} +(-4.08070 - 4.08070i) q^{71} +(4.87448 + 6.94546i) q^{72} +(1.59075 - 1.59075i) q^{73} +(13.6624 - 7.33611i) q^{74} +(7.21160 + 1.74063i) q^{75} +(0.0959401 + 0.142411i) q^{76} +(3.05109 - 1.26380i) q^{77} +(1.84568 + 7.05330i) q^{78} +0.637492 q^{79} +(12.1870 - 0.0925626i) q^{80} +(-5.25459 - 7.30679i) q^{81} +(0.986223 + 9.82207i) q^{82} +(-1.94530 - 4.69638i) q^{83} +(-2.66266 - 0.0977321i) q^{84} +(-16.1419 - 6.68618i) q^{85} +(-11.4170 + 6.13040i) q^{86} +(1.90393 + 1.38682i) q^{87} +(9.34352 - 7.75752i) q^{88} +(0.902588 - 0.902588i) q^{89} +(-12.9243 + 0.246909i) q^{90} +(-2.11510 - 0.876104i) q^{91} +(-3.45303 - 2.28832i) q^{92} +(-5.09469 - 8.33651i) q^{93} +(-8.04600 + 9.84213i) q^{94} -0.261590 q^{95} +(-9.45969 + 2.55230i) q^{96} -13.3054 q^{97} +(-5.73609 + 7.01657i) q^{98} +(-9.81497 + 8.34158i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.09490 + 0.895090i 0.774214 + 0.632924i
\(3\) 1.47792 0.903198i 0.853275 0.521461i
\(4\) 0.397627 + 1.96007i 0.198813 + 0.980037i
\(5\) −2.81491 1.16597i −1.25886 0.521438i −0.349303 0.937010i \(-0.613582\pi\)
−0.909561 + 0.415571i \(0.863582\pi\)
\(6\) 2.42662 + 0.333953i 0.990663 + 0.136336i
\(7\) −0.543879 + 0.543879i −0.205567 + 0.205567i −0.802380 0.596813i \(-0.796433\pi\)
0.596813 + 0.802380i \(0.296433\pi\)
\(8\) −1.31908 + 2.50200i −0.466365 + 0.884592i
\(9\) 1.36847 2.66970i 0.456156 0.889900i
\(10\) −2.03840 3.79622i −0.644598 1.20047i
\(11\) −3.96678 1.64309i −1.19603 0.495411i −0.306314 0.951930i \(-0.599096\pi\)
−0.889713 + 0.456520i \(0.849096\pi\)
\(12\) 2.35799 + 2.53769i 0.680694 + 0.732568i
\(13\) 1.13904 + 2.74988i 0.315912 + 0.762680i 0.999463 + 0.0327767i \(0.0104350\pi\)
−0.683550 + 0.729903i \(0.739565\pi\)
\(14\) −1.08232 + 0.108674i −0.289261 + 0.0290444i
\(15\) −5.21329 + 0.819208i −1.34607 + 0.211519i
\(16\) −3.68379 + 1.55876i −0.920946 + 0.389689i
\(17\) 5.73443 1.39080 0.695402 0.718621i \(-0.255226\pi\)
0.695402 + 0.718621i \(0.255226\pi\)
\(18\) 3.88796 1.69816i 0.916401 0.400260i
\(19\) 0.0793211 0.0328559i 0.0181975 0.00753765i −0.373566 0.927604i \(-0.621865\pi\)
0.391764 + 0.920066i \(0.371865\pi\)
\(20\) 1.16611 5.98105i 0.260750 1.33740i
\(21\) −0.312577 + 1.29504i −0.0682098 + 0.282600i
\(22\) −2.87252 5.34965i −0.612423 1.14055i
\(23\) −1.46457 + 1.46457i −0.305385 + 0.305385i −0.843116 0.537731i \(-0.819281\pi\)
0.537731 + 0.843116i \(0.319281\pi\)
\(24\) 0.310315 + 4.88914i 0.0633428 + 0.997992i
\(25\) 3.02867 + 3.02867i 0.605733 + 0.605733i
\(26\) −1.21426 + 4.03040i −0.238135 + 0.790426i
\(27\) −0.388788 5.18159i −0.0748222 0.997197i
\(28\) −1.28230 0.849782i −0.242333 0.160594i
\(29\) 0.520422 + 1.25641i 0.0966400 + 0.233310i 0.964805 0.262966i \(-0.0847006\pi\)
−0.868165 + 0.496275i \(0.834701\pi\)
\(30\) −6.44132 3.76942i −1.17602 0.688198i
\(31\) 5.64072i 1.01310i −0.862210 0.506552i \(-0.830920\pi\)
0.862210 0.506552i \(-0.169080\pi\)
\(32\) −5.42862 1.59063i −0.959653 0.281187i
\(33\) −7.34659 + 1.15443i −1.27888 + 0.200961i
\(34\) 6.27865 + 5.13283i 1.07678 + 0.880273i
\(35\) 2.16511 0.896820i 0.365971 0.151590i
\(36\) 5.77695 + 1.62075i 0.962825 + 0.270126i
\(37\) 4.19628 10.1307i 0.689864 1.66548i −0.0551907 0.998476i \(-0.517577\pi\)
0.745055 0.667003i \(-0.232423\pi\)
\(38\) 0.116258 + 0.0350255i 0.0188595 + 0.00568189i
\(39\) 4.16709 + 3.03532i 0.667269 + 0.486040i
\(40\) 6.63035 5.50489i 1.04835 0.870400i
\(41\) 4.93573 + 4.93573i 0.770831 + 0.770831i 0.978252 0.207421i \(-0.0665069\pi\)
−0.207421 + 0.978252i \(0.566507\pi\)
\(42\) −1.50142 + 1.13816i −0.231674 + 0.175621i
\(43\) −3.50661 + 8.46571i −0.534753 + 1.29101i 0.393591 + 0.919286i \(0.371233\pi\)
−0.928344 + 0.371722i \(0.878767\pi\)
\(44\) 1.64329 8.42851i 0.247735 1.27065i
\(45\) −6.96490 + 5.91936i −1.03827 + 0.882406i
\(46\) −2.91449 + 0.292641i −0.429719 + 0.0431476i
\(47\) 8.98904i 1.31119i 0.755115 + 0.655593i \(0.227581\pi\)
−0.755115 + 0.655593i \(0.772419\pi\)
\(48\) −4.03646 + 5.63090i −0.582612 + 0.812750i
\(49\) 6.40839i 0.915485i
\(50\) 0.605168 + 6.02703i 0.0855836 + 0.852351i
\(51\) 8.47500 5.17932i 1.18674 0.725250i
\(52\) −4.93706 + 3.32603i −0.684647 + 0.461237i
\(53\) 1.04873 2.53186i 0.144054 0.347777i −0.835341 0.549733i \(-0.814730\pi\)
0.979395 + 0.201955i \(0.0647296\pi\)
\(54\) 4.21230 6.02134i 0.573222 0.819400i
\(55\) 9.25030 + 9.25030i 1.24731 + 1.24731i
\(56\) −0.643367 2.07821i −0.0859736 0.277712i
\(57\) 0.0875545 0.120201i 0.0115969 0.0159210i
\(58\) −0.554789 + 1.84147i −0.0728473 + 0.241797i
\(59\) −0.498592 + 1.20371i −0.0649111 + 0.156709i −0.953006 0.302950i \(-0.902028\pi\)
0.888095 + 0.459659i \(0.152028\pi\)
\(60\) −3.67866 9.89271i −0.474912 1.27714i
\(61\) −3.69353 + 1.52991i −0.472908 + 0.195885i −0.606392 0.795166i \(-0.707384\pi\)
0.133484 + 0.991051i \(0.457384\pi\)
\(62\) 5.04896 6.17605i 0.641218 0.784359i
\(63\) 0.707713 + 2.19627i 0.0891634 + 0.276704i
\(64\) −4.52005 6.60069i −0.565007 0.825086i
\(65\) 9.06875i 1.12484i
\(66\) −9.07713 5.31187i −1.11732 0.653847i
\(67\) −3.35550 8.10090i −0.409940 0.989682i −0.985153 0.171679i \(-0.945081\pi\)
0.575213 0.818004i \(-0.304919\pi\)
\(68\) 2.28016 + 11.2399i 0.276510 + 1.36304i
\(69\) −0.841717 + 3.48732i −0.101331 + 0.419824i
\(70\) 3.17333 + 0.956042i 0.379285 + 0.114269i
\(71\) −4.08070 4.08070i −0.484290 0.484290i 0.422209 0.906499i \(-0.361255\pi\)
−0.906499 + 0.422209i \(0.861255\pi\)
\(72\) 4.87448 + 6.94546i 0.574463 + 0.818530i
\(73\) 1.59075 1.59075i 0.186183 0.186183i −0.607861 0.794044i \(-0.707972\pi\)
0.794044 + 0.607861i \(0.207972\pi\)
\(74\) 13.6624 7.33611i 1.58822 0.852805i
\(75\) 7.21160 + 1.74063i 0.832724 + 0.200990i
\(76\) 0.0959401 + 0.142411i 0.0110051 + 0.0163356i
\(77\) 3.05109 1.26380i 0.347704 0.144024i
\(78\) 1.84568 + 7.05330i 0.208982 + 0.798629i
\(79\) 0.637492 0.0717235 0.0358618 0.999357i \(-0.488582\pi\)
0.0358618 + 0.999357i \(0.488582\pi\)
\(80\) 12.1870 0.0925626i 1.36255 0.0103488i
\(81\) −5.25459 7.30679i −0.583844 0.811866i
\(82\) 0.986223 + 9.82207i 0.108910 + 1.08467i
\(83\) −1.94530 4.69638i −0.213525 0.515495i 0.780435 0.625237i \(-0.214998\pi\)
−0.993960 + 0.109742i \(0.964998\pi\)
\(84\) −2.66266 0.0977321i −0.290520 0.0106634i
\(85\) −16.1419 6.68618i −1.75083 0.725218i
\(86\) −11.4170 + 6.13040i −1.23112 + 0.661058i
\(87\) 1.90393 + 1.38682i 0.204122 + 0.148683i
\(88\) 9.34352 7.75752i 0.996023 0.826954i
\(89\) 0.902588 0.902588i 0.0956742 0.0956742i −0.657650 0.753324i \(-0.728449\pi\)
0.753324 + 0.657650i \(0.228449\pi\)
\(90\) −12.9243 + 0.246909i −1.36234 + 0.0260265i
\(91\) −2.11510 0.876104i −0.221723 0.0918406i
\(92\) −3.45303 2.28832i −0.360003 0.238574i
\(93\) −5.09469 8.33651i −0.528295 0.864456i
\(94\) −8.04600 + 9.84213i −0.829881 + 1.01514i
\(95\) −0.261590 −0.0268386
\(96\) −9.45969 + 2.55230i −0.965476 + 0.260493i
\(97\) −13.3054 −1.35095 −0.675477 0.737381i \(-0.736062\pi\)
−0.675477 + 0.737381i \(0.736062\pi\)
\(98\) −5.73609 + 7.01657i −0.579432 + 0.708781i
\(99\) −9.81497 + 8.34158i −0.986441 + 0.838360i
\(100\) −4.73213 + 7.14069i −0.473213 + 0.714069i
\(101\) 5.49437 + 2.27584i 0.546710 + 0.226455i 0.638904 0.769286i \(-0.279388\pi\)
−0.0921939 + 0.995741i \(0.529388\pi\)
\(102\) 13.9153 + 1.91503i 1.37782 + 0.189616i
\(103\) 7.86860 7.86860i 0.775316 0.775316i −0.203714 0.979030i \(-0.565301\pi\)
0.979030 + 0.203714i \(0.0653014\pi\)
\(104\) −8.38270 0.777437i −0.821992 0.0762340i
\(105\) 2.38985 3.28095i 0.233226 0.320188i
\(106\) 3.41450 1.83343i 0.331645 0.178078i
\(107\) −0.901495 0.373412i −0.0871508 0.0360991i 0.338682 0.940901i \(-0.390019\pi\)
−0.425833 + 0.904802i \(0.640019\pi\)
\(108\) 10.0017 2.82239i 0.962415 0.271585i
\(109\) 0.457650 + 1.10486i 0.0438349 + 0.105827i 0.944280 0.329142i \(-0.106759\pi\)
−0.900446 + 0.434969i \(0.856759\pi\)
\(110\) 1.84833 + 18.4080i 0.176231 + 1.75514i
\(111\) −2.94829 18.7624i −0.279840 1.78085i
\(112\) 1.15576 2.85131i 0.109209 0.269423i
\(113\) −8.48446 −0.798151 −0.399076 0.916918i \(-0.630669\pi\)
−0.399076 + 0.916918i \(0.630669\pi\)
\(114\) 0.203454 0.0532391i 0.0190552 0.00498630i
\(115\) 5.83029 2.41499i 0.543678 0.225199i
\(116\) −2.25572 + 1.51965i −0.209439 + 0.141096i
\(117\) 8.90010 + 0.722234i 0.822814 + 0.0667706i
\(118\) −1.62334 + 0.871658i −0.149440 + 0.0802427i
\(119\) −3.11883 + 3.11883i −0.285903 + 0.285903i
\(120\) 4.82709 14.1243i 0.440651 1.28937i
\(121\) 5.25738 + 5.25738i 0.477944 + 0.477944i
\(122\) −5.41346 1.63094i −0.490112 0.147658i
\(123\) 11.7525 + 2.83665i 1.05969 + 0.255772i
\(124\) 11.0562 2.24290i 0.992879 0.201419i
\(125\) 0.835790 + 2.01777i 0.0747553 + 0.180475i
\(126\) −1.19099 + 3.03817i −0.106101 + 0.270662i
\(127\) 7.01144i 0.622165i −0.950383 0.311083i \(-0.899308\pi\)
0.950383 0.311083i \(-0.100692\pi\)
\(128\) 0.959193 11.2730i 0.0847815 0.996400i
\(129\) 2.46373 + 15.6788i 0.216920 + 1.38044i
\(130\) 8.11735 9.92940i 0.711938 0.870866i
\(131\) 4.09398 1.69578i 0.357693 0.148161i −0.196598 0.980484i \(-0.562989\pi\)
0.554291 + 0.832323i \(0.312989\pi\)
\(132\) −5.18398 13.9408i −0.451207 1.21339i
\(133\) −0.0252714 + 0.0610107i −0.00219131 + 0.00529029i
\(134\) 3.57708 11.8732i 0.309013 1.02569i
\(135\) −4.94718 + 15.0390i −0.425786 + 1.29435i
\(136\) −7.56417 + 14.3476i −0.648623 + 1.23029i
\(137\) −6.04464 6.04464i −0.516428 0.516428i 0.400061 0.916489i \(-0.368989\pi\)
−0.916489 + 0.400061i \(0.868989\pi\)
\(138\) −4.04306 + 3.06486i −0.344168 + 0.260899i
\(139\) −3.82265 + 9.22869i −0.324233 + 0.782767i 0.674766 + 0.738032i \(0.264244\pi\)
−0.998999 + 0.0447354i \(0.985756\pi\)
\(140\) 2.61874 + 3.88719i 0.221324 + 0.328527i
\(141\) 8.11888 + 13.2850i 0.683733 + 1.11880i
\(142\) −0.815377 8.12056i −0.0684249 0.681462i
\(143\) 12.7797i 1.06869i
\(144\) −0.879728 + 11.9677i −0.0733107 + 0.997309i
\(145\) 4.14347i 0.344097i
\(146\) 3.16557 0.317852i 0.261985 0.0263056i
\(147\) 5.78805 + 9.47106i 0.477390 + 0.781160i
\(148\) 21.5255 + 4.19678i 1.76939 + 0.344973i
\(149\) −4.03660 + 9.74522i −0.330691 + 0.798359i 0.667846 + 0.744299i \(0.267216\pi\)
−0.998538 + 0.0540601i \(0.982784\pi\)
\(150\) 6.33798 + 8.36085i 0.517494 + 0.682661i
\(151\) −7.98901 7.98901i −0.650136 0.650136i 0.302889 0.953026i \(-0.402049\pi\)
−0.953026 + 0.302889i \(0.902049\pi\)
\(152\) −0.0224254 + 0.241801i −0.00181894 + 0.0196127i
\(153\) 7.84738 15.3092i 0.634423 1.23768i
\(154\) 4.47186 + 1.34726i 0.360353 + 0.108565i
\(155\) −6.57692 + 15.8781i −0.528271 + 1.27536i
\(156\) −4.29250 + 9.37473i −0.343675 + 0.750579i
\(157\) 2.65449 1.09953i 0.211852 0.0877518i −0.274234 0.961663i \(-0.588424\pi\)
0.486086 + 0.873911i \(0.338424\pi\)
\(158\) 0.697993 + 0.570613i 0.0555293 + 0.0453956i
\(159\) −0.736834 4.68908i −0.0584347 0.371868i
\(160\) 13.4264 + 10.8071i 1.06145 + 0.854376i
\(161\) 1.59310i 0.125554i
\(162\) 0.786969 12.7036i 0.0618301 0.998087i
\(163\) 3.51824 + 8.49377i 0.275570 + 0.665284i 0.999703 0.0243763i \(-0.00775998\pi\)
−0.724133 + 0.689660i \(0.757760\pi\)
\(164\) −7.71182 + 11.6370i −0.602192 + 0.908695i
\(165\) 22.0260 + 5.31631i 1.71472 + 0.413874i
\(166\) 2.07376 6.88330i 0.160955 0.534248i
\(167\) −6.70414 6.70414i −0.518782 0.518782i 0.398421 0.917203i \(-0.369558\pi\)
−0.917203 + 0.398421i \(0.869558\pi\)
\(168\) −2.82787 2.49033i −0.218175 0.192133i
\(169\) 2.92794 2.92794i 0.225226 0.225226i
\(170\) −11.6891 21.7692i −0.896510 1.66962i
\(171\) 0.0208330 0.256726i 0.00159314 0.0196323i
\(172\) −17.9877 3.50703i −1.37155 0.267408i
\(173\) 18.7129 7.75114i 1.42272 0.589308i 0.467174 0.884165i \(-0.345272\pi\)
0.955541 + 0.294857i \(0.0952720\pi\)
\(174\) 0.843284 + 3.22262i 0.0639292 + 0.244307i
\(175\) −3.29446 −0.249037
\(176\) 17.1739 0.130440i 1.29453 0.00983225i
\(177\) 0.350309 + 2.22930i 0.0263308 + 0.167565i
\(178\) 1.79614 0.180349i 0.134627 0.0135177i
\(179\) 7.00110 + 16.9021i 0.523286 + 1.26333i 0.935851 + 0.352397i \(0.114633\pi\)
−0.412564 + 0.910928i \(0.635367\pi\)
\(180\) −14.3718 11.2980i −1.07121 0.842106i
\(181\) 14.4907 + 6.00226i 1.07709 + 0.446144i 0.849487 0.527610i \(-0.176912\pi\)
0.227601 + 0.973754i \(0.426912\pi\)
\(182\) −1.53164 2.85246i −0.113533 0.211438i
\(183\) −4.07691 + 5.59706i −0.301374 + 0.413747i
\(184\) −1.73248 5.59627i −0.127720 0.412562i
\(185\) −23.6243 + 23.6243i −1.73689 + 1.73689i
\(186\) 1.88374 13.6879i 0.138122 1.00364i
\(187\) −22.7472 9.42220i −1.66344 0.689019i
\(188\) −17.6192 + 3.57428i −1.28501 + 0.260681i
\(189\) 3.02961 + 2.60670i 0.220372 + 0.189610i
\(190\) −0.286416 0.234147i −0.0207788 0.0169868i
\(191\) 15.7313 1.13828 0.569139 0.822241i \(-0.307277\pi\)
0.569139 + 0.822241i \(0.307277\pi\)
\(192\) −12.6420 5.67276i −0.912357 0.409396i
\(193\) 12.2248 0.879962 0.439981 0.898007i \(-0.354985\pi\)
0.439981 + 0.898007i \(0.354985\pi\)
\(194\) −14.5681 11.9095i −1.04593 0.855052i
\(195\) −8.19087 13.4028i −0.586560 0.959797i
\(196\) −12.5609 + 2.54815i −0.897209 + 0.182011i
\(197\) −21.5949 8.94488i −1.53857 0.637297i −0.557365 0.830267i \(-0.688188\pi\)
−0.981205 + 0.192971i \(0.938188\pi\)
\(198\) −18.2129 + 0.347945i −1.29433 + 0.0247274i
\(199\) −1.57778 + 1.57778i −0.111846 + 0.111846i −0.760815 0.648969i \(-0.775201\pi\)
0.648969 + 0.760815i \(0.275201\pi\)
\(200\) −11.5728 + 3.58268i −0.818320 + 0.253334i
\(201\) −12.2759 8.94176i −0.865873 0.630703i
\(202\) 3.97872 + 7.40979i 0.279942 + 0.521351i
\(203\) −0.966382 0.400288i −0.0678267 0.0280947i
\(204\) 13.5218 + 14.5522i 0.946712 + 1.01886i
\(205\) −8.13869 19.6485i −0.568431 1.37231i
\(206\) 15.6585 1.57225i 1.09098 0.109544i
\(207\) 1.90575 + 5.91420i 0.132459 + 0.411065i
\(208\) −8.48237 8.35449i −0.588147 0.579280i
\(209\) −0.368634 −0.0254990
\(210\) 5.55340 1.45319i 0.383221 0.100280i
\(211\) −25.3543 + 10.5021i −1.74546 + 0.722994i −0.747166 + 0.664637i \(0.768586\pi\)
−0.998296 + 0.0583569i \(0.981414\pi\)
\(212\) 5.37963 + 1.04885i 0.369474 + 0.0720355i
\(213\) −9.71660 2.34525i −0.665771 0.160694i
\(214\) −0.652813 1.21577i −0.0446254 0.0831083i
\(215\) 19.7415 19.7415i 1.34636 1.34636i
\(216\) 13.4772 + 5.86218i 0.917007 + 0.398871i
\(217\) 3.06787 + 3.06787i 0.208261 + 0.208261i
\(218\) −0.487871 + 1.61936i −0.0330428 + 0.109677i
\(219\) 0.914229 3.78774i 0.0617779 0.255952i
\(220\) −14.4531 + 21.8094i −0.974428 + 1.47039i
\(221\) 6.53174 + 15.7690i 0.439372 + 1.06074i
\(222\) 13.5660 23.1820i 0.910487 1.55587i
\(223\) 23.6266i 1.58216i 0.611716 + 0.791078i \(0.290480\pi\)
−0.611716 + 0.791078i \(0.709520\pi\)
\(224\) 3.81762 2.08740i 0.255076 0.139470i
\(225\) 12.2303 3.94100i 0.815351 0.262733i
\(226\) −9.28967 7.59436i −0.617939 0.505169i
\(227\) 16.7455 6.93620i 1.11144 0.460372i 0.250004 0.968245i \(-0.419568\pi\)
0.861432 + 0.507873i \(0.169568\pi\)
\(228\) 0.270417 + 0.123818i 0.0179088 + 0.00820006i
\(229\) −5.05650 + 12.2075i −0.334143 + 0.806693i 0.664111 + 0.747634i \(0.268810\pi\)
−0.998254 + 0.0590592i \(0.981190\pi\)
\(230\) 8.54524 + 2.57446i 0.563456 + 0.169755i
\(231\) 3.36779 4.62353i 0.221584 0.304206i
\(232\) −3.83002 0.355208i −0.251453 0.0233205i
\(233\) 7.93372 + 7.93372i 0.519756 + 0.519756i 0.917497 0.397742i \(-0.130206\pi\)
−0.397742 + 0.917497i \(0.630206\pi\)
\(234\) 9.09828 + 8.75717i 0.594773 + 0.572474i
\(235\) 10.4810 25.3033i 0.683703 1.65060i
\(236\) −2.55761 0.498651i −0.166486 0.0324594i
\(237\) 0.942160 0.575782i 0.0611999 0.0374010i
\(238\) −6.20646 + 0.623184i −0.402305 + 0.0403950i
\(239\) 16.7260i 1.08191i 0.841051 + 0.540956i \(0.181937\pi\)
−0.841051 + 0.540956i \(0.818063\pi\)
\(240\) 17.9277 11.1440i 1.15723 0.719345i
\(241\) 9.00218i 0.579881i 0.957045 + 0.289941i \(0.0936356\pi\)
−0.957045 + 0.289941i \(0.906364\pi\)
\(242\) 1.05049 + 10.4622i 0.0675283 + 0.672532i
\(243\) −14.3653 6.05289i −0.921536 0.388293i
\(244\) −4.46738 6.63126i −0.285995 0.424523i
\(245\) 7.47200 18.0390i 0.477369 1.15247i
\(246\) 10.3288 + 13.6254i 0.658542 + 0.868726i
\(247\) 0.180700 + 0.180700i 0.0114976 + 0.0114976i
\(248\) 14.1131 + 7.44057i 0.896184 + 0.472477i
\(249\) −7.11675 5.18386i −0.451006 0.328514i
\(250\) −0.890981 + 2.95738i −0.0563506 + 0.187041i
\(251\) −0.601450 + 1.45203i −0.0379632 + 0.0916513i −0.941724 0.336387i \(-0.890795\pi\)
0.903761 + 0.428038i \(0.140795\pi\)
\(252\) −4.02345 + 2.26047i −0.253454 + 0.142396i
\(253\) 8.21607 3.40321i 0.516540 0.213958i
\(254\) 6.27588 7.67685i 0.393783 0.481689i
\(255\) −29.8953 + 4.69769i −1.87211 + 0.294181i
\(256\) 11.1406 11.4843i 0.696285 0.717766i
\(257\) 8.28941i 0.517079i −0.966001 0.258539i \(-0.916759\pi\)
0.966001 0.258539i \(-0.0832412\pi\)
\(258\) −11.3364 + 19.3720i −0.705771 + 1.20605i
\(259\) 3.22761 + 7.79215i 0.200554 + 0.484181i
\(260\) 17.7754 3.60598i 1.10238 0.223633i
\(261\) 4.06642 + 0.329986i 0.251705 + 0.0204256i
\(262\) 6.00039 + 1.80777i 0.370706 + 0.111684i
\(263\) −8.76126 8.76126i −0.540243 0.540243i 0.383357 0.923600i \(-0.374768\pi\)
−0.923600 + 0.383357i \(0.874768\pi\)
\(264\) 6.80236 19.9040i 0.418656 1.22501i
\(265\) −5.90415 + 5.90415i −0.362689 + 0.362689i
\(266\) −0.0822798 + 0.0441806i −0.00504490 + 0.00270888i
\(267\) 0.518733 2.14916i 0.0317460 0.131527i
\(268\) 14.5441 9.79817i 0.888424 0.598519i
\(269\) −15.1023 + 6.25558i −0.920804 + 0.381409i −0.792182 0.610284i \(-0.791055\pi\)
−0.128621 + 0.991694i \(0.541055\pi\)
\(270\) −18.8779 + 12.0381i −1.14888 + 0.732613i
\(271\) 17.5035 1.06326 0.531631 0.846976i \(-0.321579\pi\)
0.531631 + 0.846976i \(0.321579\pi\)
\(272\) −21.1244 + 8.93858i −1.28086 + 0.541981i
\(273\) −3.91724 + 0.615548i −0.237082 + 0.0372547i
\(274\) −1.20780 12.0288i −0.0729657 0.726686i
\(275\) −7.03766 16.9904i −0.424387 1.02456i
\(276\) −7.17009 0.263176i −0.431589 0.0158414i
\(277\) 21.3684 + 8.85109i 1.28390 + 0.531811i 0.917163 0.398512i \(-0.130473\pi\)
0.366742 + 0.930323i \(0.380473\pi\)
\(278\) −12.4459 + 6.68291i −0.746458 + 0.400814i
\(279\) −15.0590 7.71915i −0.901561 0.462133i
\(280\) −0.612114 + 6.60010i −0.0365808 + 0.394432i
\(281\) 5.93438 5.93438i 0.354015 0.354015i −0.507586 0.861601i \(-0.669462\pi\)
0.861601 + 0.507586i \(0.169462\pi\)
\(282\) −3.00192 + 21.8130i −0.178762 + 1.29894i
\(283\) 23.7525 + 9.83861i 1.41194 + 0.584845i 0.952822 0.303530i \(-0.0981653\pi\)
0.459119 + 0.888375i \(0.348165\pi\)
\(284\) 6.37588 9.62107i 0.378339 0.570905i
\(285\) −0.386608 + 0.236268i −0.0229007 + 0.0139953i
\(286\) 11.4390 13.9925i 0.676402 0.827397i
\(287\) −5.36888 −0.316915
\(288\) −11.6754 + 12.3161i −0.687979 + 0.725730i
\(289\) 15.8837 0.934334
\(290\) 3.70878 4.53670i 0.217787 0.266404i
\(291\) −19.6642 + 12.0174i −1.15274 + 0.704471i
\(292\) 3.75050 + 2.48546i 0.219482 + 0.145450i
\(293\) −4.20032 1.73983i −0.245386 0.101642i 0.256601 0.966517i \(-0.417397\pi\)
−0.501987 + 0.864875i \(0.667397\pi\)
\(294\) −2.14010 + 15.5507i −0.124813 + 0.906936i
\(295\) 2.80698 2.80698i 0.163429 0.163429i
\(296\) 19.8119 + 23.8623i 1.15154 + 1.38697i
\(297\) −6.97159 + 21.1930i −0.404533 + 1.22974i
\(298\) −13.1425 + 7.05695i −0.761327 + 0.408798i
\(299\) −5.69562 2.35920i −0.329386 0.136436i
\(300\) −0.544235 + 14.8274i −0.0314214 + 0.856060i
\(301\) −2.69715 6.51149i −0.155461 0.375316i
\(302\) −1.59631 15.8981i −0.0918573 0.914832i
\(303\) 10.1758 1.59900i 0.584582 0.0918602i
\(304\) −0.240988 + 0.244676i −0.0138216 + 0.0140331i
\(305\) 12.1808 0.697469
\(306\) 22.2952 9.73799i 1.27453 0.556684i
\(307\) 12.3645 5.12154i 0.705678 0.292302i −0.000836540 1.00000i \(-0.500266\pi\)
0.706515 + 0.707698i \(0.250266\pi\)
\(308\) 3.69034 + 5.47784i 0.210277 + 0.312129i
\(309\) 4.52222 18.7360i 0.257260 1.06586i
\(310\) −21.4134 + 11.4980i −1.21620 + 0.653045i
\(311\) 10.7303 10.7303i 0.608462 0.608462i −0.334082 0.942544i \(-0.608426\pi\)
0.942544 + 0.334082i \(0.108426\pi\)
\(312\) −13.0911 + 6.42225i −0.741138 + 0.363588i
\(313\) −17.8971 17.8971i −1.01160 1.01160i −0.999932 0.0116708i \(-0.996285\pi\)
−0.0116708 0.999932i \(-0.503715\pi\)
\(314\) 3.89059 + 1.17214i 0.219559 + 0.0661474i
\(315\) 0.568650 7.00747i 0.0320398 0.394826i
\(316\) 0.253484 + 1.24953i 0.0142596 + 0.0702917i
\(317\) −2.59675 6.26910i −0.145848 0.352108i 0.834026 0.551725i \(-0.186030\pi\)
−0.979874 + 0.199617i \(0.936030\pi\)
\(318\) 3.39039 5.79362i 0.190123 0.324890i
\(319\) 5.83900i 0.326921i
\(320\) 5.02730 + 23.8506i 0.281035 + 1.33329i
\(321\) −1.66960 + 0.262358i −0.0931879 + 0.0146434i
\(322\) 1.42597 1.74429i 0.0794662 0.0972057i
\(323\) 0.454861 0.188410i 0.0253091 0.0104834i
\(324\) 12.2325 13.2048i 0.679583 0.733599i
\(325\) −4.87871 + 11.7782i −0.270622 + 0.653340i
\(326\) −3.75057 + 12.4490i −0.207725 + 0.689486i
\(327\) 1.67428 + 1.21955i 0.0925878 + 0.0674411i
\(328\) −18.8598 + 5.83859i −1.04136 + 0.322382i
\(329\) −4.88895 4.88895i −0.269536 0.269536i
\(330\) 19.3578 + 25.5361i 1.06561 + 1.40572i
\(331\) 4.00950 9.67979i 0.220382 0.532050i −0.774560 0.632501i \(-0.782029\pi\)
0.994942 + 0.100451i \(0.0320286\pi\)
\(332\) 8.43175 5.68035i 0.462752 0.311750i
\(333\) −21.3035 25.0664i −1.16742 1.37363i
\(334\) −1.33958 13.3412i −0.0732983 0.729998i
\(335\) 26.7157i 1.45963i
\(336\) −0.867182 5.25787i −0.0473087 0.286840i
\(337\) 4.80498i 0.261744i −0.991399 0.130872i \(-0.958222\pi\)
0.991399 0.130872i \(-0.0417777\pi\)
\(338\) 5.82659 0.585042i 0.316925 0.0318221i
\(339\) −12.5393 + 7.66315i −0.681042 + 0.416205i
\(340\) 6.68697 34.2979i 0.362652 1.86006i
\(341\) −9.26823 + 22.3755i −0.501903 + 1.21170i
\(342\) 0.252603 0.262442i 0.0136592 0.0141913i
\(343\) −7.29254 7.29254i −0.393760 0.393760i
\(344\) −16.5557 19.9405i −0.892625 1.07512i
\(345\) 6.43547 8.83505i 0.346474 0.475663i
\(346\) 27.4268 + 8.26299i 1.47447 + 0.444221i
\(347\) 5.87587 14.1856i 0.315433 0.761523i −0.684052 0.729434i \(-0.739784\pi\)
0.999485 0.0320898i \(-0.0102162\pi\)
\(348\) −1.96123 + 4.28328i −0.105133 + 0.229608i
\(349\) −6.41003 + 2.65512i −0.343121 + 0.142125i −0.547588 0.836748i \(-0.684454\pi\)
0.204467 + 0.978873i \(0.434454\pi\)
\(350\) −3.60711 2.94883i −0.192808 0.157622i
\(351\) 13.8059 6.97115i 0.736905 0.372092i
\(352\) 18.9206 + 15.2294i 1.00847 + 0.811730i
\(353\) 10.7742i 0.573453i −0.958012 0.286726i \(-0.907433\pi\)
0.958012 0.286726i \(-0.0925671\pi\)
\(354\) −1.61187 + 2.75443i −0.0856701 + 0.146396i
\(355\) 6.72880 + 16.2448i 0.357128 + 0.862182i
\(356\) 2.12803 + 1.41025i 0.112786 + 0.0747429i
\(357\) −1.79245 + 7.42630i −0.0948665 + 0.393041i
\(358\) −7.46342 + 24.7728i −0.394454 + 1.30928i
\(359\) 7.99933 + 7.99933i 0.422189 + 0.422189i 0.885957 0.463768i \(-0.153503\pi\)
−0.463768 + 0.885957i \(0.653503\pi\)
\(360\) −5.62299 25.2343i −0.296358 1.32997i
\(361\) −13.4298 + 13.4298i −0.706832 + 0.706832i
\(362\) 10.4934 + 19.5424i 0.551520 + 1.02713i
\(363\) 12.5184 + 3.02151i 0.657046 + 0.158588i
\(364\) 0.876208 4.49412i 0.0459258 0.235556i
\(365\) −6.33256 + 2.62303i −0.331461 + 0.137296i
\(366\) −9.47370 + 2.47904i −0.495198 + 0.129582i
\(367\) −4.78544 −0.249798 −0.124899 0.992169i \(-0.539861\pi\)
−0.124899 + 0.992169i \(0.539861\pi\)
\(368\) 3.11226 7.67810i 0.162238 0.400248i
\(369\) 19.9313 6.42253i 1.03758 0.334343i
\(370\) −47.0121 + 4.72044i −2.44404 + 0.245404i
\(371\) 0.806641 + 1.94740i 0.0418787 + 0.101104i
\(372\) 14.3144 13.3008i 0.742167 0.689614i
\(373\) −24.5505 10.1691i −1.27118 0.526538i −0.357855 0.933777i \(-0.616492\pi\)
−0.913322 + 0.407239i \(0.866492\pi\)
\(374\) −16.4723 30.6772i −0.851760 1.58628i
\(375\) 3.05768 + 2.22722i 0.157898 + 0.115013i
\(376\) −22.4906 11.8573i −1.15986 0.611492i
\(377\) −2.86220 + 2.86220i −0.147411 + 0.147411i
\(378\) 0.983895 + 5.56586i 0.0506061 + 0.286277i
\(379\) 26.9921 + 11.1805i 1.38649 + 0.574304i 0.946209 0.323556i \(-0.104878\pi\)
0.440282 + 0.897859i \(0.354878\pi\)
\(380\) −0.104015 0.512737i −0.00533588 0.0263028i
\(381\) −6.33272 10.3623i −0.324435 0.530878i
\(382\) 17.2243 + 14.0809i 0.881270 + 0.720444i
\(383\) 16.7272 0.854721 0.427360 0.904081i \(-0.359444\pi\)
0.427360 + 0.904081i \(0.359444\pi\)
\(384\) −8.76412 17.5268i −0.447242 0.894413i
\(385\) −10.0621 −0.512811
\(386\) 13.3850 + 10.9423i 0.681278 + 0.556949i
\(387\) 17.8022 + 20.9466i 0.904937 + 1.06478i
\(388\) −5.29057 26.0795i −0.268588 1.32399i
\(389\) −30.3193 12.5587i −1.53725 0.636749i −0.556294 0.830985i \(-0.687777\pi\)
−0.980955 + 0.194236i \(0.937777\pi\)
\(390\) 3.02854 22.0064i 0.153356 1.11434i
\(391\) −8.39850 + 8.39850i −0.424730 + 0.424730i
\(392\) −16.0338 8.45319i −0.809830 0.426950i
\(393\) 4.51893 6.20390i 0.227950 0.312945i
\(394\) −15.6378 29.1231i −0.787821 1.46720i
\(395\) −1.79448 0.743298i −0.0902901 0.0373994i
\(396\) −20.2528 15.9212i −1.01774 0.800072i
\(397\) 8.13703 + 19.6445i 0.408386 + 0.985931i 0.985563 + 0.169312i \(0.0541545\pi\)
−0.577177 + 0.816619i \(0.695846\pi\)
\(398\) −3.13978 + 0.315262i −0.157383 + 0.0158026i
\(399\) 0.0177556 + 0.112994i 0.000888894 + 0.00565676i
\(400\) −15.8779 6.43600i −0.793896 0.321800i
\(401\) −0.509396 −0.0254380 −0.0127190 0.999919i \(-0.504049\pi\)
−0.0127190 + 0.999919i \(0.504049\pi\)
\(402\) −5.43720 20.7784i −0.271183 1.03633i
\(403\) 15.5113 6.42500i 0.772674 0.320052i
\(404\) −2.27611 + 11.6743i −0.113241 + 0.580819i
\(405\) 6.27166 + 26.6946i 0.311641 + 1.32647i
\(406\) −0.699800 1.30328i −0.0347305 0.0646805i
\(407\) −33.2914 + 33.2914i −1.65019 + 1.65019i
\(408\) 1.77948 + 28.0364i 0.0880975 + 1.38801i
\(409\) −6.54063 6.54063i −0.323413 0.323413i 0.526662 0.850075i \(-0.323443\pi\)
−0.850075 + 0.526662i \(0.823443\pi\)
\(410\) 8.67613 28.7981i 0.428483 1.42224i
\(411\) −14.3930 3.47396i −0.709952 0.171358i
\(412\) 18.5518 + 12.2943i 0.913982 + 0.605695i
\(413\) −0.383497 0.925844i −0.0188707 0.0455578i
\(414\) −3.20713 + 8.18130i −0.157622 + 0.402089i
\(415\) 15.4880i 0.760278i
\(416\) −1.80935 16.7399i −0.0887109 0.820739i
\(417\) 2.68578 + 17.0918i 0.131523 + 0.836990i
\(418\) −0.403619 0.329961i −0.0197416 0.0161389i
\(419\) 20.7965 8.61418i 1.01597 0.420830i 0.188343 0.982103i \(-0.439688\pi\)
0.827631 + 0.561273i \(0.189688\pi\)
\(420\) 7.38118 + 3.37969i 0.360165 + 0.164912i
\(421\) −8.30131 + 20.0411i −0.404581 + 0.976745i 0.581958 + 0.813219i \(0.302287\pi\)
−0.986539 + 0.163526i \(0.947713\pi\)
\(422\) −37.1608 11.1956i −1.80896 0.544994i
\(423\) 23.9980 + 12.3012i 1.16682 + 0.598105i
\(424\) 4.95136 + 5.96365i 0.240459 + 0.289620i
\(425\) 17.3677 + 17.3677i 0.842456 + 0.842456i
\(426\) −8.53953 11.2651i −0.413742 0.545794i
\(427\) 1.17675 2.84092i 0.0569468 0.137482i
\(428\) 0.373456 1.91548i 0.0180517 0.0925881i
\(429\) −11.5426 18.8873i −0.557282 0.911889i
\(430\) 39.2856 3.94462i 1.89452 0.190227i
\(431\) 1.97237i 0.0950057i −0.998871 0.0475028i \(-0.984874\pi\)
0.998871 0.0475028i \(-0.0151263\pi\)
\(432\) 9.50905 + 18.4818i 0.457504 + 0.889207i
\(433\) 29.4876i 1.41709i −0.705668 0.708543i \(-0.749353\pi\)
0.705668 0.708543i \(-0.250647\pi\)
\(434\) 0.613001 + 6.10504i 0.0294250 + 0.293051i
\(435\) −3.74238 6.12370i −0.179433 0.293609i
\(436\) −1.98364 + 1.33635i −0.0949992 + 0.0639996i
\(437\) −0.0680518 + 0.164292i −0.00325536 + 0.00785913i
\(438\) 4.39137 3.32890i 0.209828 0.159061i
\(439\) −17.1823 17.1823i −0.820067 0.820067i 0.166050 0.986117i \(-0.446899\pi\)
−0.986117 + 0.166050i \(0.946899\pi\)
\(440\) −35.3462 + 10.9424i −1.68506 + 0.521658i
\(441\) 17.1085 + 8.76968i 0.814690 + 0.417604i
\(442\) −6.96306 + 23.1120i −0.331199 + 1.09933i
\(443\) −4.22858 + 10.2087i −0.200906 + 0.485029i −0.991935 0.126749i \(-0.959546\pi\)
0.791029 + 0.611779i \(0.209546\pi\)
\(444\) 35.6034 13.2393i 1.68966 0.628310i
\(445\) −3.59309 + 1.48831i −0.170329 + 0.0705526i
\(446\) −21.1480 + 25.8689i −1.00138 + 1.22493i
\(447\) 2.83610 + 18.0485i 0.134143 + 0.853663i
\(448\) 6.04834 + 1.13162i 0.285757 + 0.0534638i
\(449\) 27.4116i 1.29363i 0.762645 + 0.646817i \(0.223900\pi\)
−0.762645 + 0.646817i \(0.776100\pi\)
\(450\) 16.9185 + 6.63218i 0.797546 + 0.312644i
\(451\) −11.4691 27.6888i −0.540057 1.30381i
\(452\) −3.37365 16.6302i −0.158683 0.782218i
\(453\) −19.0227 4.59143i −0.893766 0.215724i
\(454\) 24.5432 + 7.39424i 1.15187 + 0.347029i
\(455\) 4.93230 + 4.93230i 0.231230 + 0.231230i
\(456\) 0.185252 + 0.377616i 0.00867520 + 0.0176835i
\(457\) 5.05963 5.05963i 0.236680 0.236680i −0.578794 0.815474i \(-0.696477\pi\)
0.815474 + 0.578794i \(0.196477\pi\)
\(458\) −16.4632 + 8.83998i −0.769274 + 0.413065i
\(459\) −2.22947 29.7134i −0.104063 1.38690i
\(460\) 7.05184 + 10.4675i 0.328794 + 0.488052i
\(461\) 28.5768 11.8369i 1.33095 0.551298i 0.400025 0.916504i \(-0.369001\pi\)
0.930927 + 0.365206i \(0.119001\pi\)
\(462\) 7.82588 2.04784i 0.364093 0.0952743i
\(463\) 8.48410 0.394290 0.197145 0.980374i \(-0.436833\pi\)
0.197145 + 0.980374i \(0.436833\pi\)
\(464\) −3.87556 3.81713i −0.179918 0.177206i
\(465\) 4.62093 + 29.4067i 0.214290 + 1.36371i
\(466\) 1.58526 + 15.7881i 0.0734359 + 0.731368i
\(467\) −6.00576 14.4992i −0.277913 0.670942i 0.721864 0.692035i \(-0.243286\pi\)
−0.999778 + 0.0210925i \(0.993286\pi\)
\(468\) 2.12329 + 17.7320i 0.0981489 + 0.819664i
\(469\) 6.23089 + 2.58092i 0.287716 + 0.119176i
\(470\) 34.1244 18.3232i 1.57404 0.845188i
\(471\) 2.93003 4.02254i 0.135008 0.185349i
\(472\) −2.35400 2.83527i −0.108352 0.130504i
\(473\) 27.8199 27.8199i 1.27916 1.27916i
\(474\) 1.54695 + 0.212893i 0.0710538 + 0.00977849i
\(475\) 0.339747 + 0.140728i 0.0155886 + 0.00645703i
\(476\) −7.35328 4.87302i −0.337037 0.223354i
\(477\) −5.32414 6.26455i −0.243776 0.286834i
\(478\) −14.9712 + 18.3133i −0.684768 + 0.837631i
\(479\) −28.2696 −1.29167 −0.645835 0.763477i \(-0.723491\pi\)
−0.645835 + 0.763477i \(0.723491\pi\)
\(480\) 29.6040 + 3.84527i 1.35123 + 0.175512i
\(481\) 32.6380 1.48816
\(482\) −8.05776 + 9.85652i −0.367021 + 0.448952i
\(483\) −1.43889 2.35447i −0.0654716 0.107132i
\(484\) −8.21438 + 12.3953i −0.373381 + 0.563424i
\(485\) 37.4533 + 15.5137i 1.70067 + 0.704440i
\(486\) −10.3108 19.4856i −0.467706 0.883884i
\(487\) −22.4971 + 22.4971i −1.01944 + 1.01944i −0.0196335 + 0.999807i \(0.506250\pi\)
−0.999807 + 0.0196335i \(0.993750\pi\)
\(488\) 1.04422 11.2593i 0.0472697 0.509685i
\(489\) 12.8712 + 9.37542i 0.582056 + 0.423971i
\(490\) 24.3277 13.0629i 1.09901 0.590120i
\(491\) −0.871501 0.360988i −0.0393303 0.0162911i 0.362932 0.931816i \(-0.381776\pi\)
−0.402262 + 0.915525i \(0.631776\pi\)
\(492\) −0.886924 + 24.1638i −0.0399856 + 1.08939i
\(493\) 2.98432 + 7.20480i 0.134407 + 0.324488i
\(494\) 0.0361061 + 0.359591i 0.00162449 + 0.0161788i
\(495\) 37.3542 12.0368i 1.67895 0.541013i
\(496\) 8.79252 + 20.7792i 0.394796 + 0.933014i
\(497\) 4.43881 0.199108
\(498\) −3.15214 12.0460i −0.141251 0.539792i
\(499\) −29.0833 + 12.0467i −1.30195 + 0.539284i −0.922524 0.385939i \(-0.873878\pi\)
−0.379423 + 0.925223i \(0.623878\pi\)
\(500\) −3.62266 + 2.44053i −0.162010 + 0.109144i
\(501\) −15.9633 3.85299i −0.713188 0.172139i
\(502\) −1.95823 + 1.05148i −0.0873999 + 0.0469298i
\(503\) −15.9266 + 15.9266i −0.710132 + 0.710132i −0.966563 0.256431i \(-0.917454\pi\)
0.256431 + 0.966563i \(0.417454\pi\)
\(504\) −6.42862 1.12636i −0.286353 0.0501721i
\(505\) −12.8126 12.8126i −0.570152 0.570152i
\(506\) 12.0420 + 3.62794i 0.535331 + 0.161282i
\(507\) 1.68274 6.97176i 0.0747331 0.309627i
\(508\) 13.7430 2.78794i 0.609745 0.123695i
\(509\) −0.374204 0.903408i −0.0165863 0.0400428i 0.915369 0.402615i \(-0.131899\pi\)
−0.931956 + 0.362572i \(0.881899\pi\)
\(510\) −36.9373 21.6154i −1.63561 0.957148i
\(511\) 1.73035i 0.0765460i
\(512\) 22.4773 2.60235i 0.993364 0.115009i
\(513\) −0.201085 0.398235i −0.00887810 0.0175825i
\(514\) 7.41977 9.07610i 0.327272 0.400330i
\(515\) −31.3239 + 12.9748i −1.38030 + 0.571738i
\(516\) −29.7519 + 11.0634i −1.30975 + 0.487039i
\(517\) 14.7698 35.6575i 0.649576 1.56821i
\(518\) −3.44075 + 11.4207i −0.151178 + 0.501795i
\(519\) 20.6553 28.3570i 0.906666 1.24473i
\(520\) 22.6900 + 11.9624i 0.995024 + 0.524586i
\(521\) −31.7757 31.7757i −1.39212 1.39212i −0.820562 0.571558i \(-0.806339\pi\)
−0.571558 0.820562i \(1.30634\pi\)
\(522\) 4.15697 + 4.00111i 0.181946 + 0.175124i
\(523\) −2.56429 + 6.19074i −0.112128 + 0.270702i −0.969975 0.243203i \(-0.921802\pi\)
0.857847 + 0.513905i \(0.171802\pi\)
\(524\) 4.95174 + 7.35022i 0.216318 + 0.321096i
\(525\) −4.86893 + 2.97554i −0.212497 + 0.129863i
\(526\) −1.75062 17.4349i −0.0763305 0.760196i
\(527\) 32.3463i 1.40903i
\(528\) 25.2638 15.7042i 1.09947 0.683439i
\(529\) 18.7100i 0.813480i
\(530\) −11.7492 + 1.17973i −0.510353 + 0.0512440i
\(531\) 2.53123 + 2.97832i 0.109846 + 0.129248i
\(532\) −0.129634 0.0252744i −0.00562035 0.00109579i
\(533\) −7.95069 + 19.1947i −0.344382 + 0.831413i
\(534\) 2.49166 1.88881i 0.107825 0.0817370i
\(535\) 2.10224 + 2.10224i 0.0908876 + 0.0908876i
\(536\) 24.6947 + 2.29026i 1.06665 + 0.0989241i
\(537\) 25.6130 + 18.6566i 1.10528 + 0.805090i
\(538\) −22.1349 6.66867i −0.954302 0.287507i
\(539\) 10.5296 25.4206i 0.453541 1.09494i
\(540\) −31.4447 3.71694i −1.35316 0.159952i
\(541\) 25.9983 10.7689i 1.11776 0.462989i 0.254154 0.967164i \(-0.418203\pi\)
0.863602 + 0.504174i \(0.168203\pi\)
\(542\) 19.1646 + 15.6672i 0.823191 + 0.672964i
\(543\) 26.8373 4.21717i 1.15170 0.180976i
\(544\) −31.1300 9.12137i −1.33469 0.391075i
\(545\) 3.64369i 0.156079i
\(546\) −4.83997 2.83231i −0.207131 0.121212i
\(547\) −8.74735 21.1180i −0.374010 0.902939i −0.993062 0.117590i \(-0.962483\pi\)
0.619053 0.785349i \(-0.287517\pi\)
\(548\) 9.44443 14.2514i 0.403446 0.608792i
\(549\) −0.970075 + 11.9542i −0.0414018 + 0.510195i
\(550\) 7.50240 24.9022i 0.319903 1.06183i
\(551\) 0.0825609 + 0.0825609i 0.00351721 + 0.00351721i
\(552\) −7.61499 6.70603i −0.324116 0.285428i
\(553\) −0.346719 + 0.346719i −0.0147440 + 0.0147440i
\(554\) 15.4738 + 28.8178i 0.657421 + 1.22435i
\(555\) −13.5773 + 56.2520i −0.576323 + 2.38777i
\(556\) −19.6089 3.82310i −0.831603 0.162136i
\(557\) −21.4222 + 8.87338i −0.907689 + 0.375977i −0.787171 0.616734i \(-0.788455\pi\)
−0.120517 + 0.992711i \(0.538455\pi\)
\(558\) −9.57886 21.9309i −0.405505 0.928410i
\(559\) −27.2739 −1.15356
\(560\) −6.57789 + 6.67858i −0.277967 + 0.282222i
\(561\) −42.1285 + 6.62001i −1.77867 + 0.279497i
\(562\) 11.8094 1.18577i 0.498149 0.0500186i
\(563\) −3.72042 8.98190i −0.156797 0.378542i 0.825886 0.563838i \(-0.190676\pi\)
−0.982683 + 0.185296i \(0.940676\pi\)
\(564\) −22.8114 + 21.1961i −0.960532 + 0.892516i
\(565\) 23.8830 + 9.89265i 1.00476 + 0.416187i
\(566\) 17.2003 + 32.0330i 0.722981 + 1.34645i
\(567\) 6.83187 + 1.11615i 0.286912 + 0.0468739i
\(568\) 15.5927 4.82715i 0.654255 0.202543i
\(569\) −8.43864 + 8.43864i −0.353766 + 0.353766i −0.861509 0.507743i \(-0.830480\pi\)
0.507743 + 0.861509i \(0.330480\pi\)
\(570\) −0.634780 0.0873589i −0.0265880 0.00365906i
\(571\) −17.9095 7.41834i −0.749488 0.310448i −0.0249551 0.999689i \(-0.507944\pi\)
−0.724532 + 0.689241i \(0.757944\pi\)
\(572\) 25.0492 5.08156i 1.04736 0.212471i
\(573\) 23.2495 14.2085i 0.971264 0.593568i
\(574\) −5.87840 4.80563i −0.245360 0.200583i
\(575\) −8.87142 −0.369964
\(576\) −23.8074 + 3.03435i −0.991975 + 0.126431i
\(577\) −31.3503 −1.30513 −0.652565 0.757733i \(-0.726307\pi\)
−0.652565 + 0.757733i \(0.726307\pi\)
\(578\) 17.3911 + 14.2173i 0.723374 + 0.591363i
\(579\) 18.0672 11.0414i 0.750849 0.458866i
\(580\) 8.12152 1.64756i 0.337228 0.0684111i
\(581\) 3.61227 + 1.49625i 0.149862 + 0.0620750i
\(582\) −32.2870 4.44337i −1.33834 0.184184i
\(583\) −8.32014 + 8.32014i −0.344585 + 0.344585i
\(584\) 1.88173 + 6.07837i 0.0778666 + 0.251525i
\(585\) −24.2108 12.4103i −1.00099 0.513102i
\(586\) −3.04164 5.66462i −0.125649 0.234003i
\(587\) 14.6871 + 6.08361i 0.606202 + 0.251097i 0.664604 0.747196i \(-0.268600\pi\)
−0.0584014 + 0.998293i \(0.518600\pi\)
\(588\) −16.2625 + 15.1109i −0.670654 + 0.623165i
\(589\) −0.185331 0.447428i −0.00763642 0.0184360i
\(590\) 5.58587 0.560871i 0.229967 0.0230907i
\(591\) −39.9944 + 6.28465i −1.64515 + 0.258516i
\(592\) 0.333129 + 43.8604i 0.0136915 + 1.80265i
\(593\) −6.53460 −0.268344 −0.134172 0.990958i \(-0.542837\pi\)
−0.134172 + 0.990958i \(0.542837\pi\)
\(594\) −26.6029 + 16.9641i −1.09153 + 0.696045i
\(595\) 12.4157 5.14275i 0.508994 0.210832i
\(596\) −20.7064 4.03708i −0.848168 0.165365i
\(597\) −0.906779 + 3.75688i −0.0371120 + 0.153759i
\(598\) −4.12445 7.68119i −0.168661 0.314107i
\(599\) 20.5360 20.5360i 0.839078 0.839078i −0.149659 0.988738i \(-0.547818\pi\)
0.988738 + 0.149659i \(0.0478177\pi\)
\(600\) −13.8677 + 15.7474i −0.566148 + 0.642886i
\(601\) −1.20249 1.20249i −0.0490506 0.0490506i 0.682156 0.731207i \(-0.261042\pi\)
−0.731207 + 0.682156i \(0.761042\pi\)
\(602\) 2.87525 9.54364i 0.117187 0.388970i
\(603\) −26.2189 2.12763i −1.06771 0.0866440i
\(604\) 12.4824 18.8357i 0.507902 0.766414i
\(605\) −8.66907 20.9290i −0.352448 0.850884i
\(606\) 12.5727 + 7.35747i 0.510732 + 0.298877i
\(607\) 42.2470i 1.71475i −0.514692 0.857375i \(-0.672094\pi\)
0.514692 0.857375i \(-0.327906\pi\)
\(608\) −0.482865 + 0.0521913i −0.0195828 + 0.00211664i
\(609\) −1.78977 + 0.281241i −0.0725251 + 0.0113965i
\(610\) 13.3368 + 10.9029i 0.539990 + 0.441445i
\(611\) −24.7188 + 10.2389i −1.00002 + 0.414220i
\(612\) 33.1275 + 9.29410i 1.33910 + 0.375692i
\(613\) −3.20549 + 7.73873i −0.129468 + 0.312564i −0.975300 0.220886i \(-0.929105\pi\)
0.845831 + 0.533451i \(0.179105\pi\)
\(614\) 18.1222 + 5.45974i 0.731351 + 0.220337i
\(615\) −29.7748 21.6880i −1.20064 0.874545i
\(616\) −0.862593 + 9.30089i −0.0347549 + 0.374744i
\(617\) 30.2757 + 30.2757i 1.21885 + 1.21885i 0.968034 + 0.250821i \(0.0807005\pi\)
0.250821 + 0.968034i \(0.419299\pi\)
\(618\) 21.7218 16.4663i 0.873780 0.662373i
\(619\) 7.03045 16.9730i 0.282578 0.682203i −0.717317 0.696747i \(-0.754630\pi\)
0.999894 + 0.0145446i \(0.00462985\pi\)
\(620\) −33.7374 6.57770i −1.35493 0.264167i
\(621\) 8.15823 + 7.01941i 0.327379 + 0.281679i
\(622\) 21.3533 2.14406i 0.856190 0.0859691i
\(623\) 0.981797i 0.0393349i
\(624\) −20.0820 4.68597i −0.803923 0.187589i
\(625\) 28.0703i 1.12281i
\(626\) −3.57607 35.6151i −0.142929 1.42346i
\(627\) −0.544810 + 0.332949i −0.0217576 + 0.0132967i
\(628\) 3.21065 + 4.76580i 0.128119 + 0.190176i
\(629\) 24.0633 58.0939i 0.959465 2.31635i
\(630\) 6.89494 7.16352i 0.274701 0.285401i
\(631\) 0.699961 + 0.699961i 0.0278650 + 0.0278650i 0.720902 0.693037i \(-0.243728\pi\)
−0.693037 + 0.720902i \(0.743728\pi\)
\(632\) −0.840904 + 1.59501i −0.0334494 + 0.0634460i
\(633\) −27.9860 + 38.4212i −1.11235 + 1.52710i
\(634\) 2.76822 9.18838i 0.109940 0.364917i
\(635\) −8.17515 + 19.7366i −0.324421 + 0.783221i
\(636\) 8.89796 3.30875i 0.352827 0.131201i
\(637\) −17.6223 + 7.29941i −0.698222 + 0.289213i
\(638\) 5.22643 6.39314i 0.206916 0.253107i
\(639\) −16.4785 + 5.30993i −0.651881 + 0.210058i
\(640\) −15.8440 + 30.6140i −0.626289 + 1.21012i
\(641\) 36.4715i 1.44054i −0.693695 0.720269i \(-0.744019\pi\)
0.693695 0.720269i \(-0.255981\pi\)
\(642\) −2.06288 1.20718i −0.0814155 0.0476438i
\(643\) 13.4470 + 32.4640i 0.530298 + 1.28025i 0.931326 + 0.364187i \(0.118653\pi\)
−0.401027 + 0.916066i \(0.631347\pi\)
\(644\) 3.12260 0.633460i 0.123048 0.0249618i
\(645\) 11.3458 47.0069i 0.446741 1.85089i
\(646\) 0.666673 + 0.200851i 0.0262299 + 0.00790239i
\(647\) 7.01510 + 7.01510i 0.275792 + 0.275792i 0.831427 0.555635i \(-0.187525\pi\)
−0.555635 + 0.831427i \(0.687525\pi\)
\(648\) 25.2129 3.50876i 0.990455 0.137837i
\(649\) 3.95560 3.95560i 0.155271 0.155271i
\(650\) −15.8843 + 8.52916i −0.623034 + 0.334541i
\(651\) 7.30494 + 1.76316i 0.286303 + 0.0691036i
\(652\) −15.2495 + 10.2734i −0.597216 + 0.402336i
\(653\) 7.33264 3.03728i 0.286948 0.118858i −0.234567 0.972100i \(-0.575367\pi\)
0.521515 + 0.853242i \(0.325367\pi\)
\(654\) 0.741568 + 2.83392i 0.0289976 + 0.110815i
\(655\) −13.5014 −0.527544
\(656\) −25.8758 10.4886i −1.01028 0.409510i
\(657\) −2.06993 6.42370i −0.0807556 0.250612i
\(658\) −0.976876 9.72897i −0.0380826 0.379275i
\(659\) 9.46381 + 22.8477i 0.368658 + 0.890018i 0.993971 + 0.109644i \(0.0349712\pi\)
−0.625313 + 0.780374i \(0.715029\pi\)
\(660\) −1.66223 + 45.2865i −0.0647022 + 1.76278i
\(661\) −4.59417 1.90297i −0.178693 0.0740169i 0.291543 0.956558i \(-0.405831\pi\)
−0.470236 + 0.882541i \(0.655831\pi\)
\(662\) 13.0543 7.00957i 0.507370 0.272435i
\(663\) 23.8959 + 17.4058i 0.928039 + 0.675986i
\(664\) 14.3164 + 1.32774i 0.555583 + 0.0515264i
\(665\) 0.142273 0.142273i 0.00551713 0.00551713i
\(666\) −0.888613 46.5138i −0.0344331 1.80237i
\(667\) −2.60230 1.07791i −0.100762 0.0417368i
\(668\) 10.4749 15.8064i 0.405285 0.611566i
\(669\) 21.3395 + 34.9181i 0.825033 + 1.35001i
\(670\) −23.9129 + 29.2511i −0.923838 + 1.13007i
\(671\) 17.1652 0.662654
\(672\) 3.75679 6.53307i 0.144921 0.252018i
\(673\) −14.0193 −0.540404 −0.270202 0.962804i \(-0.587090\pi\)
−0.270202 + 0.962804i \(0.587090\pi\)
\(674\) 4.30089 5.26099i 0.165664 0.202646i
\(675\) 14.5158 16.8708i 0.558713 0.649358i
\(676\) 6.90322 + 4.57476i 0.265508 + 0.175952i
\(677\) 25.4610 + 10.5463i 0.978545 + 0.405327i 0.813886 0.581024i \(-0.197348\pi\)
0.164659 + 0.986351i \(0.447348\pi\)
\(678\) −20.5886 2.83341i −0.790699 0.108817i
\(679\) 7.23650 7.23650i 0.277712 0.277712i
\(680\) 38.0213 31.5674i 1.45805 1.21056i
\(681\) 18.4836 25.3756i 0.708294 0.972395i
\(682\) −30.1759 + 16.2031i −1.15549 + 0.620448i
\(683\) −7.18630 2.97666i −0.274976 0.113899i 0.240934 0.970541i \(-0.422546\pi\)
−0.515910 + 0.856643i \(0.672546\pi\)
\(684\) 0.511485 0.0612467i 0.0195571 0.00234183i
\(685\) 9.96720 + 24.0630i 0.380827 + 0.919398i
\(686\) −1.45715 14.5121i −0.0556341 0.554075i
\(687\) 3.55268 + 22.6086i 0.135543 + 0.862573i
\(688\) −0.278378 36.6518i −0.0106131 1.39734i
\(689\) 8.15685 0.310751
\(690\) 14.9544 3.91320i 0.569304 0.148973i
\(691\) 21.5412 8.92265i 0.819466 0.339434i 0.0667419 0.997770i \(-0.478740\pi\)
0.752724 + 0.658336i \(0.228740\pi\)
\(692\) 22.6336 + 33.5966i 0.860399 + 1.27715i
\(693\) 0.801343 9.87496i 0.0304405 0.375119i
\(694\) 19.1309 10.2724i 0.726199 0.389936i
\(695\) 21.5208 21.5208i 0.816330 0.816330i
\(696\) −5.98127 + 2.93430i −0.226720 + 0.111224i
\(697\) 28.3036 + 28.3036i 1.07207 + 1.07207i
\(698\) −9.39493 2.83045i −0.355603 0.107134i
\(699\) 18.8911 + 4.55965i 0.714527 + 0.172462i
\(700\) −1.30996 6.45738i −0.0495120 0.244066i
\(701\) 12.8390 + 30.9961i 0.484922 + 1.17071i 0.957244 + 0.289280i \(0.0934160\pi\)
−0.472322 + 0.881426i \(0.656584\pi\)
\(702\) 21.3559 + 4.72480i 0.806028 + 0.178326i
\(703\) 0.941452i 0.0355075i
\(704\) 7.08449 + 33.6103i 0.267007 + 1.26674i
\(705\) −7.36389 46.8625i −0.277340 1.76494i
\(706\) 9.64388 11.7967i 0.362952 0.443975i
\(707\) −4.22606 + 1.75049i −0.158937 + 0.0658339i
\(708\) −4.23031 + 1.57306i −0.158985 + 0.0591193i
\(709\) −0.0401422 + 0.0969118i −0.00150757 + 0.00363960i −0.924632 0.380863i \(-0.875627\pi\)
0.923124 + 0.384502i \(0.125627\pi\)
\(710\) −7.17314 + 23.8093i −0.269203 + 0.893548i
\(711\) 0.872388 1.70191i 0.0327171 0.0638267i
\(712\) 1.06769 + 3.44887i 0.0400135 + 0.129252i
\(713\) 8.26126 + 8.26126i 0.309387 + 0.309387i
\(714\) −8.60976 + 6.52667i −0.322212 + 0.244255i
\(715\) −14.9008 + 35.9737i −0.557258 + 1.34534i
\(716\) −30.3456 + 20.4434i −1.13407 + 0.764006i
\(717\) 15.1068 + 24.7195i 0.564175 + 0.923168i
\(718\) 1.59837 + 15.9186i 0.0596507 + 0.594078i
\(719\) 7.25362i 0.270515i 0.990811 + 0.135257i \(0.0431861\pi\)
−0.990811 + 0.135257i \(0.956814\pi\)
\(720\) 16.4304 32.6622i 0.612324 1.21725i
\(721\) 8.55913i 0.318759i
\(722\) −26.7252 + 2.68345i −0.994611 + 0.0998678i
\(723\) 8.13075 + 13.3045i 0.302386 + 0.494798i
\(724\) −6.00297 + 30.7896i −0.223099 + 1.14429i
\(725\) −2.22906 + 5.38143i −0.0827853 + 0.199861i
\(726\) 11.0019 + 14.5134i 0.408320 + 0.538642i
\(727\) 33.8662 + 33.8662i 1.25603 + 1.25603i 0.952973 + 0.303055i \(0.0980066\pi\)
0.303055 + 0.952973i \(0.401993\pi\)
\(728\) 4.98201 4.13634i 0.184645 0.153303i
\(729\) −26.6977 + 4.02907i −0.988803 + 0.149225i
\(730\) −9.28139 2.79625i −0.343520 0.103494i
\(731\) −20.1084 + 48.5460i −0.743736 + 1.79554i
\(732\) −12.5918 5.76551i −0.465405 0.213099i
\(733\) −46.5930 + 19.2995i −1.72095 + 0.712842i −0.721153 + 0.692775i \(0.756388\pi\)
−0.999799 + 0.0200663i \(0.993612\pi\)
\(734\) −5.23959 4.28340i −0.193397 0.158103i
\(735\) −5.24981 33.4088i −0.193642 1.23230i
\(736\) 10.2802 5.62102i 0.378934 0.207193i
\(737\) 37.6478i 1.38678i
\(738\) 27.5716 + 10.8083i 1.01492 + 0.397858i
\(739\) −11.4353 27.6072i −0.420653 1.01555i −0.982155 0.188072i \(-0.939776\pi\)
0.561502 0.827475i \(-0.310224\pi\)
\(740\) −55.6989 36.9117i −2.04753 1.35690i
\(741\) 0.430266 + 0.103851i 0.0158062 + 0.00381507i
\(742\) −0.859908 + 2.85424i −0.0315682 + 0.104782i
\(743\) −31.4330 31.4330i −1.15317 1.15317i −0.985914 0.167252i \(-0.946511\pi\)
−0.167252 0.985914i \(1.44651\pi\)
\(744\) 27.5783 1.75040i 1.01107 0.0641729i
\(745\) 22.7253 22.7253i 0.832590 0.832590i
\(746\) −17.7781 33.1091i −0.650903 1.21221i
\(747\) −15.2000 1.23347i −0.556139 0.0451301i
\(748\) 9.42331 48.3327i 0.344550 1.76722i
\(749\) 0.693395 0.287214i 0.0253361 0.0104946i
\(750\) 1.35430 + 5.17548i 0.0494520 + 0.188982i
\(751\) −9.38556 −0.342484 −0.171242 0.985229i \(-0.554778\pi\)
−0.171242 + 0.985229i \(0.554778\pi\)
\(752\) −14.0117 33.1137i −0.510955 1.20753i
\(753\) 0.422577 + 2.68920i 0.0153996 + 0.0980001i
\(754\) −5.69576 + 0.571905i −0.207427 + 0.0208276i
\(755\) 13.1733 + 31.8033i 0.479427 + 1.15744i
\(756\) −3.90468 + 6.97475i −0.142012 + 0.253669i
\(757\) −21.2091 8.78508i −0.770857 0.319299i −0.0376373 0.999291i \(-0.511983\pi\)
−0.733219 + 0.679992i \(0.761983\pi\)
\(758\) 19.5462 + 36.4019i 0.709950 + 1.32218i
\(759\) 9.06889 12.4504i 0.329180 0.451921i
\(760\) 0.345059 0.654500i 0.0125166 0.0237412i