Properties

Label 930.2.br.a.11.19
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.19
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(0.997625 - 1.41589i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.511264 - 1.65487i) q^{6} +(0.00579634 + 0.0551485i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-1.00949 - 2.82505i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(0.997625 - 1.41589i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.511264 - 1.65487i) q^{6} +(0.00579634 + 0.0551485i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-1.00949 - 2.82505i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(4.39351 + 1.95612i) q^{11} +(-0.0251432 - 1.73187i) q^{12} +(-1.17337 - 5.52027i) q^{13} +(0.0225545 + 0.0506582i) q^{14} +(-0.156024 + 1.72501i) q^{15} +(0.309017 - 0.951057i) q^{16} +(4.22241 - 1.87994i) q^{17} +(-1.83307 - 2.37484i) q^{18} +(-7.24514 - 1.54000i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(0.0838668 + 0.0468106i) q^{21} +(4.78295 + 0.502709i) q^{22} +(1.07181 + 0.778717i) q^{23} +(-0.559089 - 1.63933i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-2.82180 - 4.88750i) q^{26} +(-5.00706 - 1.38902i) q^{27} +(0.0371048 + 0.0412091i) q^{28} +(0.765615 + 2.35632i) q^{29} +(0.384669 + 1.68880i) q^{30} +(5.26534 + 1.81001i) q^{31} -1.00000i q^{32} +(7.15273 - 4.26926i) q^{33} +(3.43482 - 3.09273i) q^{34} +(-0.0325940 - 0.0448618i) q^{35} +(-2.47722 - 1.69216i) q^{36} +(4.18646 + 2.41705i) q^{37} +(-7.36642 + 0.774242i) q^{38} +(-8.98667 - 3.84580i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-7.04768 - 6.34576i) q^{41} +(0.0942273 + 0.0186032i) q^{42} +(0.517215 - 2.43330i) q^{43} +(4.70420 - 0.999909i) q^{44} +(2.28677 + 1.94183i) q^{45} +(1.25999 + 0.409396i) q^{46} +(0.349977 + 0.113714i) q^{47} +(-1.03831 - 1.38633i) q^{48} +(6.84403 - 1.45474i) q^{49} +(0.207912 - 0.978148i) q^{50} +(1.55060 - 7.85395i) q^{51} +(-4.19401 - 3.77630i) q^{52} +(-0.476094 + 4.52973i) q^{53} +(-5.19123 + 0.226225i) q^{54} +(-4.78295 + 0.502709i) q^{55} +(0.0480231 + 0.0277261i) q^{56} +(-9.40841 + 8.72197i) q^{57} +(1.45629 + 2.00441i) q^{58} +(-4.67634 + 4.21060i) q^{59} +(0.887709 + 1.48727i) q^{60} +6.01788i q^{61} +(5.56696 + 0.0943451i) q^{62} +(0.149946 - 0.0720467i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(3.77630 + 4.19401i) q^{65} +(5.48337 - 6.27062i) q^{66} +(-1.65285 - 2.86283i) q^{67} +(2.31100 - 4.00278i) q^{68} +(2.17185 - 0.740700i) q^{69} +(-0.0448618 - 0.0325940i) q^{70} +(3.05457 + 0.321048i) q^{71} +(-2.87888 - 0.843833i) q^{72} +(-2.89385 + 6.49970i) q^{73} +(4.72847 + 1.00507i) q^{74} +(-0.727384 - 1.57191i) q^{75} +(-6.76663 + 3.01270i) q^{76} +(-0.0824107 + 0.253634i) q^{77} +(-9.73525 - 0.880536i) q^{78} +(5.28619 + 11.8730i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-6.96187 + 5.70371i) q^{81} +(-8.66369 - 3.85732i) q^{82} +(-1.77637 + 1.97286i) q^{83} +(0.0953642 - 0.0114251i) q^{84} +(-2.71675 + 3.73928i) q^{85} +(-0.260032 - 2.47404i) q^{86} +(4.10009 + 1.26670i) q^{87} +(4.16497 - 2.40465i) q^{88} +(-6.09663 + 4.42946i) q^{89} +(2.77490 + 1.14014i) q^{90} +(0.297633 - 0.0967069i) q^{91} +1.32483 q^{92} +(7.81562 - 5.64943i) q^{93} +0.367987 q^{94} +(7.04448 - 2.28889i) q^{95} +(-1.41589 - 0.997625i) q^{96} +(1.98975 - 1.44564i) q^{97} +(6.05951 - 3.49846i) q^{98} +(1.09095 - 14.3866i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) 0.997625 1.41589i 0.575979 0.817464i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 0.511264 1.65487i 0.208723 0.675600i
\(7\) 0.00579634 + 0.0551485i 0.00219081 + 0.0208442i 0.995563 0.0941006i \(-0.0299975\pi\)
−0.993372 + 0.114945i \(0.963331\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −1.00949 2.82505i −0.336496 0.941685i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) 4.39351 + 1.95612i 1.32469 + 0.589792i 0.942474 0.334280i \(-0.108493\pi\)
0.382220 + 0.924071i \(0.375160\pi\)
\(12\) −0.0251432 1.73187i −0.00725822 0.499947i
\(13\) −1.17337 5.52027i −0.325434 1.53105i −0.771607 0.636100i \(-0.780547\pi\)
0.446173 0.894947i \(-0.352787\pi\)
\(14\) 0.0225545 + 0.0506582i 0.00602793 + 0.0135390i
\(15\) −0.156024 + 1.72501i −0.0402852 + 0.445395i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 4.22241 1.87994i 1.02409 0.455952i 0.175202 0.984532i \(-0.443942\pi\)
0.848883 + 0.528580i \(0.177275\pi\)
\(18\) −1.83307 2.37484i −0.432059 0.559755i
\(19\) −7.24514 1.54000i −1.66215 0.353301i −0.721430 0.692487i \(-0.756515\pi\)
−0.940719 + 0.339187i \(0.889848\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 0.0838668 + 0.0468106i 0.0183012 + 0.0102149i
\(22\) 4.78295 + 0.502709i 1.01973 + 0.107178i
\(23\) 1.07181 + 0.778717i 0.223488 + 0.162374i 0.693896 0.720076i \(-0.255893\pi\)
−0.470407 + 0.882449i \(0.655893\pi\)
\(24\) −0.559089 1.63933i −0.114124 0.334628i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −2.82180 4.88750i −0.553400 0.958517i
\(27\) −5.00706 1.38902i −0.963608 0.267318i
\(28\) 0.0371048 + 0.0412091i 0.00701215 + 0.00778778i
\(29\) 0.765615 + 2.35632i 0.142171 + 0.437558i 0.996636 0.0819507i \(-0.0261150\pi\)
−0.854465 + 0.519509i \(0.826115\pi\)
\(30\) 0.384669 + 1.68880i 0.0702307 + 0.308330i
\(31\) 5.26534 + 1.81001i 0.945684 + 0.325088i
\(32\) 1.00000i 0.176777i
\(33\) 7.15273 4.26926i 1.24513 0.743182i
\(34\) 3.43482 3.09273i 0.589067 0.530398i
\(35\) −0.0325940 0.0448618i −0.00550940 0.00758303i
\(36\) −2.47722 1.69216i −0.412870 0.282026i
\(37\) 4.18646 + 2.41705i 0.688249 + 0.397361i 0.802956 0.596039i \(-0.203259\pi\)
−0.114707 + 0.993399i \(0.536593\pi\)
\(38\) −7.36642 + 0.774242i −1.19499 + 0.125599i
\(39\) −8.98667 3.84580i −1.43902 0.615820i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −7.04768 6.34576i −1.10066 0.991041i −0.100670 0.994920i \(-0.532099\pi\)
−0.999992 + 0.00387861i \(0.998765\pi\)
\(42\) 0.0942273 + 0.0186032i 0.0145396 + 0.00287054i
\(43\) 0.517215 2.43330i 0.0788745 0.371075i −0.920953 0.389675i \(-0.872587\pi\)
0.999827 + 0.0185995i \(0.00592073\pi\)
\(44\) 4.70420 0.999909i 0.709185 0.150742i
\(45\) 2.28677 + 1.94183i 0.340891 + 0.289470i
\(46\) 1.25999 + 0.409396i 0.185776 + 0.0603621i
\(47\) 0.349977 + 0.113714i 0.0510494 + 0.0165869i 0.334430 0.942420i \(-0.391456\pi\)
−0.283381 + 0.959007i \(0.591456\pi\)
\(48\) −1.03831 1.38633i −0.149867 0.200100i
\(49\) 6.84403 1.45474i 0.977718 0.207820i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 1.55060 7.85395i 0.217127 1.09977i
\(52\) −4.19401 3.77630i −0.581604 0.523679i
\(53\) −0.476094 + 4.52973i −0.0653965 + 0.622206i 0.911912 + 0.410386i \(0.134606\pi\)
−0.977309 + 0.211820i \(0.932061\pi\)
\(54\) −5.19123 + 0.226225i −0.706436 + 0.0307854i
\(55\) −4.78295 + 0.502709i −0.644933 + 0.0677852i
\(56\) 0.0480231 + 0.0277261i 0.00641735 + 0.00370506i
\(57\) −9.40841 + 8.72197i −1.24617 + 1.15525i
\(58\) 1.45629 + 2.00441i 0.191220 + 0.263192i
\(59\) −4.67634 + 4.21060i −0.608808 + 0.548173i −0.914824 0.403853i \(-0.867671\pi\)
0.306016 + 0.952026i \(0.401004\pi\)
\(60\) 0.887709 + 1.48727i 0.114603 + 0.192006i
\(61\) 6.01788i 0.770511i 0.922810 + 0.385256i \(0.125887\pi\)
−0.922810 + 0.385256i \(0.874113\pi\)
\(62\) 5.56696 + 0.0943451i 0.707005 + 0.0119818i
\(63\) 0.149946 0.0720467i 0.0188914 0.00907703i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 3.77630 + 4.19401i 0.468393 + 0.520203i
\(66\) 5.48337 6.27062i 0.674957 0.771860i
\(67\) −1.65285 2.86283i −0.201928 0.349750i 0.747222 0.664575i \(-0.231387\pi\)
−0.949150 + 0.314825i \(0.898054\pi\)
\(68\) 2.31100 4.00278i 0.280250 0.485408i
\(69\) 2.17185 0.740700i 0.261459 0.0891698i
\(70\) −0.0448618 0.0325940i −0.00536201 0.00389573i
\(71\) 3.05457 + 0.321048i 0.362511 + 0.0381014i 0.284033 0.958814i \(-0.408327\pi\)
0.0784776 + 0.996916i \(0.474994\pi\)
\(72\) −2.87888 0.843833i −0.339279 0.0994467i
\(73\) −2.89385 + 6.49970i −0.338700 + 0.760733i 0.661244 + 0.750171i \(0.270029\pi\)
−0.999944 + 0.0105619i \(0.996638\pi\)
\(74\) 4.72847 + 1.00507i 0.549673 + 0.116837i
\(75\) −0.727384 1.57191i −0.0839910 0.181509i
\(76\) −6.76663 + 3.01270i −0.776186 + 0.345580i
\(77\) −0.0824107 + 0.253634i −0.00939157 + 0.0289043i
\(78\) −9.73525 0.880536i −1.10230 0.0997011i
\(79\) 5.28619 + 11.8730i 0.594743 + 1.33582i 0.920641 + 0.390410i \(0.127667\pi\)
−0.325898 + 0.945405i \(0.605667\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) −6.96187 + 5.70371i −0.773541 + 0.633746i
\(82\) −8.66369 3.85732i −0.956745 0.425970i
\(83\) −1.77637 + 1.97286i −0.194982 + 0.216549i −0.832706 0.553716i \(-0.813209\pi\)
0.637724 + 0.770265i \(0.279876\pi\)
\(84\) 0.0953642 0.0114251i 0.0104051 0.00124658i
\(85\) −2.71675 + 3.73928i −0.294673 + 0.405582i
\(86\) −0.260032 2.47404i −0.0280400 0.266782i
\(87\) 4.10009 + 1.26670i 0.439576 + 0.135804i
\(88\) 4.16497 2.40465i 0.443988 0.256336i
\(89\) −6.09663 + 4.42946i −0.646242 + 0.469522i −0.861989 0.506927i \(-0.830781\pi\)
0.215747 + 0.976449i \(0.430781\pi\)
\(90\) 2.77490 + 1.14014i 0.292501 + 0.120181i
\(91\) 0.297633 0.0967069i 0.0312004 0.0101376i
\(92\) 1.32483 0.138123
\(93\) 7.81562 5.64943i 0.810442 0.585819i
\(94\) 0.367987 0.0379550
\(95\) 7.04448 2.28889i 0.722748 0.234835i
\(96\) −1.41589 0.997625i −0.144509 0.101820i
\(97\) 1.98975 1.44564i 0.202029 0.146782i −0.482171 0.876077i \(-0.660152\pi\)
0.684200 + 0.729295i \(0.260152\pi\)
\(98\) 6.05951 3.49846i 0.612103 0.353398i
\(99\) 1.09095 14.3866i 0.109644 1.44591i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −10.3220 + 14.2070i −1.02708 + 1.41365i −0.119960 + 0.992779i \(0.538277\pi\)
−0.907119 + 0.420874i \(0.861723\pi\)
\(102\) −0.952295 7.94871i −0.0942913 0.787039i
\(103\) 4.35531 4.83706i 0.429141 0.476610i −0.489329 0.872099i \(-0.662758\pi\)
0.918471 + 0.395489i \(0.129425\pi\)
\(104\) −5.15568 2.29546i −0.505556 0.225088i
\(105\) −0.0960360 + 0.00139425i −0.00937216 + 0.000136065i
\(106\) 0.946971 + 4.45515i 0.0919779 + 0.432722i
\(107\) 8.15087 + 18.3072i 0.787974 + 1.76982i 0.620924 + 0.783871i \(0.286758\pi\)
0.167050 + 0.985948i \(0.446576\pi\)
\(108\) −4.86724 + 1.81933i −0.468351 + 0.175065i
\(109\) 3.12570 9.61992i 0.299388 0.921421i −0.682324 0.731050i \(-0.739031\pi\)
0.981712 0.190372i \(-0.0609693\pi\)
\(110\) −4.39351 + 1.95612i −0.418905 + 0.186509i
\(111\) 7.59879 3.51625i 0.721246 0.333748i
\(112\) 0.0542405 + 0.0115292i 0.00512525 + 0.00108940i
\(113\) 0.478150 1.07394i 0.0449805 0.101028i −0.889658 0.456628i \(-0.849057\pi\)
0.934638 + 0.355600i \(0.115724\pi\)
\(114\) −6.25269 + 11.2024i −0.585618 + 1.04921i
\(115\) −1.31758 0.138483i −0.122865 0.0129136i
\(116\) 2.00441 + 1.45629i 0.186105 + 0.135213i
\(117\) −14.4106 + 8.88747i −1.33226 + 0.821647i
\(118\) −3.14632 + 5.44959i −0.289642 + 0.501675i
\(119\) 0.128150 + 0.221963i 0.0117475 + 0.0203473i
\(120\) 1.30385 + 1.14016i 0.119025 + 0.104082i
\(121\) 8.11612 + 9.01387i 0.737829 + 0.819442i
\(122\) 1.85963 + 5.72335i 0.168363 + 0.518168i
\(123\) −16.0158 + 3.64805i −1.44410 + 0.328933i
\(124\) 5.32365 1.63056i 0.478078 0.146429i
\(125\) 1.00000i 0.0894427i
\(126\) 0.120344 0.114856i 0.0107211 0.0102322i
\(127\) 2.52970 2.27775i 0.224475 0.202118i −0.549218 0.835679i \(-0.685074\pi\)
0.773692 + 0.633561i \(0.218408\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −2.92930 3.15984i −0.257911 0.278209i
\(130\) 4.88750 + 2.82180i 0.428662 + 0.247488i
\(131\) 0.219272 0.0230464i 0.0191579 0.00201357i −0.0949447 0.995483i \(-0.530267\pi\)
0.114103 + 0.993469i \(0.463601\pi\)
\(132\) 3.27727 7.65817i 0.285250 0.666558i
\(133\) 0.0429335 0.408485i 0.00372281 0.0354201i
\(134\) −2.45662 2.21195i −0.212219 0.191083i
\(135\) 5.03075 1.30060i 0.432978 0.111938i
\(136\) 0.960969 4.52100i 0.0824024 0.387673i
\(137\) 7.90566 1.68040i 0.675426 0.143566i 0.142586 0.989782i \(-0.454458\pi\)
0.532840 + 0.846216i \(0.321125\pi\)
\(138\) 1.83666 1.37558i 0.156347 0.117098i
\(139\) −2.87855 0.935296i −0.244155 0.0793308i 0.184383 0.982854i \(-0.440971\pi\)
−0.428538 + 0.903524i \(0.640971\pi\)
\(140\) −0.0527382 0.0171357i −0.00445719 0.00144823i
\(141\) 0.510153 0.382084i 0.0429626 0.0321773i
\(142\) 3.00428 0.638579i 0.252113 0.0535884i
\(143\) 5.64308 26.5486i 0.471898 2.22011i
\(144\) −2.99874 + 0.0870895i −0.249895 + 0.00725746i
\(145\) −1.84120 1.65783i −0.152904 0.137675i
\(146\) −0.743700 + 7.07583i −0.0615491 + 0.585600i
\(147\) 4.76802 11.1417i 0.393260 0.918950i
\(148\) 4.80762 0.505301i 0.395184 0.0415355i
\(149\) −7.38731 4.26507i −0.605192 0.349408i 0.165889 0.986144i \(-0.446951\pi\)
−0.771081 + 0.636736i \(0.780284\pi\)
\(150\) −1.17753 1.27020i −0.0961450 0.103712i
\(151\) 10.5873 + 14.5722i 0.861586 + 1.18587i 0.981189 + 0.193050i \(0.0618378\pi\)
−0.119603 + 0.992822i \(0.538162\pi\)
\(152\) −5.50447 + 4.95625i −0.446472 + 0.402005i
\(153\) −9.57340 10.0308i −0.773964 0.810940i
\(154\) 0.266686i 0.0214902i
\(155\) −5.46493 + 1.06515i −0.438954 + 0.0855552i
\(156\) −9.53087 + 2.17092i −0.763081 + 0.173813i
\(157\) −2.87228 8.83996i −0.229233 0.705506i −0.997834 0.0657780i \(-0.979047\pi\)
0.768602 0.639728i \(-0.220953\pi\)
\(158\) 8.69642 + 9.65836i 0.691850 + 0.768378i
\(159\) 5.93863 + 5.19307i 0.470964 + 0.411837i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −0.0367325 + 0.0636226i −0.00289493 + 0.00501416i
\(162\) −4.85859 + 7.57589i −0.381727 + 0.595218i
\(163\) 16.4984 + 11.9868i 1.29225 + 0.938876i 0.999848 0.0174189i \(-0.00554490\pi\)
0.292404 + 0.956295i \(0.405545\pi\)
\(164\) −9.43164 0.991305i −0.736487 0.0774079i
\(165\) −4.05981 + 7.27365i −0.316056 + 0.566253i
\(166\) −1.07978 + 2.42523i −0.0838072 + 0.188234i
\(167\) 19.9666 + 4.24403i 1.54506 + 0.328413i 0.900059 0.435768i \(-0.143523\pi\)
0.645002 + 0.764181i \(0.276857\pi\)
\(168\) 0.0871662 0.0403351i 0.00672502 0.00311192i
\(169\) −17.2205 + 7.66705i −1.32465 + 0.589773i
\(170\) −1.42828 + 4.39579i −0.109544 + 0.337142i
\(171\) 2.96329 + 22.0225i 0.226608 + 1.68411i
\(172\) −1.01182 2.27260i −0.0771509 0.173284i
\(173\) 2.83694 + 13.3467i 0.215688 + 1.01473i 0.944117 + 0.329612i \(0.106918\pi\)
−0.728428 + 0.685122i \(0.759749\pi\)
\(174\) 4.29085 0.0622944i 0.325288 0.00472253i
\(175\) 0.0506582 + 0.0225545i 0.00382940 + 0.00170496i
\(176\) 3.21805 3.57401i 0.242570 0.269401i
\(177\) 1.29650 + 10.8218i 0.0974512 + 0.813415i
\(178\) −4.42946 + 6.09663i −0.332002 + 0.456962i
\(179\) −1.42880 13.5941i −0.106793 1.01607i −0.908367 0.418174i \(-0.862670\pi\)
0.801573 0.597896i \(-0.203997\pi\)
\(180\) 2.99141 + 0.226841i 0.222967 + 0.0169077i
\(181\) 7.46802 4.31166i 0.555094 0.320483i −0.196080 0.980588i \(-0.562821\pi\)
0.751174 + 0.660104i \(0.229488\pi\)
\(182\) 0.253182 0.183947i 0.0187671 0.0136351i
\(183\) 8.52066 + 6.00359i 0.629865 + 0.443798i
\(184\) 1.25999 0.409396i 0.0928878 0.0301811i
\(185\) −4.83410 −0.355410
\(186\) 5.68733 7.78809i 0.417015 0.571050i
\(187\) 22.2286 1.62552
\(188\) 0.349977 0.113714i 0.0255247 0.00829347i
\(189\) 0.0475800 0.284183i 0.00346093 0.0206713i
\(190\) 5.99239 4.35373i 0.434734 0.315852i
\(191\) −6.80966 + 3.93156i −0.492730 + 0.284478i −0.725706 0.688005i \(-0.758487\pi\)
0.232976 + 0.972482i \(0.425154\pi\)
\(192\) −1.65487 0.511264i −0.119430 0.0368973i
\(193\) −0.400990 3.81517i −0.0288639 0.274622i −0.999429 0.0337835i \(-0.989244\pi\)
0.970565 0.240838i \(-0.0774223\pi\)
\(194\) 1.44564 1.98975i 0.103791 0.142856i
\(195\) 9.70559 1.16278i 0.695031 0.0832683i
\(196\) 4.68186 5.19973i 0.334418 0.371409i
\(197\) 12.2730 + 5.46427i 0.874412 + 0.389313i 0.794338 0.607476i \(-0.207818\pi\)
0.0800734 + 0.996789i \(0.474485\pi\)
\(198\) −3.40815 14.0196i −0.242207 0.996328i
\(199\) −4.60196 21.6505i −0.326224 1.53476i −0.769658 0.638457i \(-0.779573\pi\)
0.443434 0.896307i \(-0.353760\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) −5.70237 0.515770i −0.402214 0.0363796i
\(202\) −5.42660 + 16.7014i −0.381815 + 1.17510i
\(203\) −0.125510 + 0.0558806i −0.00880906 + 0.00392205i
\(204\) −3.36197 7.26540i −0.235385 0.508679i
\(205\) 9.27635 + 1.97175i 0.647888 + 0.137713i
\(206\) 2.64741 5.94618i 0.184454 0.414290i
\(207\) 1.11794 3.81403i 0.0777021 0.265094i
\(208\) −5.61268 0.589916i −0.389169 0.0409033i
\(209\) −28.8192 20.9384i −1.99347 1.44834i
\(210\) −0.0909048 + 0.0310028i −0.00627303 + 0.00213939i
\(211\) −2.10081 + 3.63872i −0.144626 + 0.250500i −0.929233 0.369493i \(-0.879531\pi\)
0.784607 + 0.619993i \(0.212865\pi\)
\(212\) 2.27734 + 3.94447i 0.156408 + 0.270907i
\(213\) 3.50189 4.00465i 0.239945 0.274394i
\(214\) 13.4092 + 14.8924i 0.916631 + 1.01802i
\(215\) 0.768731 + 2.36591i 0.0524270 + 0.161354i
\(216\) −4.06682 + 3.23435i −0.276712 + 0.220069i
\(217\) −0.0692998 + 0.300867i −0.00470438 + 0.0204242i
\(218\) 10.1150i 0.685073i
\(219\) 6.31588 + 10.5816i 0.426788 + 0.715041i
\(220\) −3.57401 + 3.21805i −0.240959 + 0.216961i
\(221\) −15.3322 21.1030i −1.03136 1.41954i
\(222\) 6.14030 5.69231i 0.412110 0.382043i
\(223\) −17.2637 9.96720i −1.15606 0.667453i −0.205706 0.978614i \(-0.565949\pi\)
−0.950357 + 0.311161i \(0.899282\pi\)
\(224\) 0.0551485 0.00579634i 0.00368476 0.000387284i
\(225\) −2.95131 0.538286i −0.196754 0.0358857i
\(226\) 0.122881 1.16914i 0.00817393 0.0777697i
\(227\) 4.17651 + 3.76054i 0.277204 + 0.249596i 0.795992 0.605307i \(-0.206950\pi\)
−0.518788 + 0.854903i \(0.673616\pi\)
\(228\) −2.48491 + 12.5863i −0.164567 + 0.833551i
\(229\) −4.76991 + 22.4407i −0.315205 + 1.48292i 0.480370 + 0.877066i \(0.340502\pi\)
−0.795575 + 0.605855i \(0.792831\pi\)
\(230\) −1.29588 + 0.275448i −0.0854480 + 0.0181625i
\(231\) 0.276903 + 0.369716i 0.0182189 + 0.0243255i
\(232\) 2.35632 + 0.765615i 0.154700 + 0.0502651i
\(233\) −16.5162 5.36645i −1.08202 0.351568i −0.286859 0.957973i \(-0.592611\pi\)
−0.795156 + 0.606405i \(0.792611\pi\)
\(234\) −10.9589 + 12.9056i −0.716404 + 0.843665i
\(235\) −0.359946 + 0.0765089i −0.0234803 + 0.00499089i
\(236\) −1.30831 + 6.15513i −0.0851639 + 0.400665i
\(237\) 22.0845 + 4.36012i 1.43454 + 0.283220i
\(238\) 0.190469 + 0.171499i 0.0123462 + 0.0111166i
\(239\) 0.710742 6.76226i 0.0459741 0.437414i −0.947189 0.320677i \(-0.896090\pi\)
0.993163 0.116737i \(-0.0372436\pi\)
\(240\) 1.59237 + 0.681445i 0.102787 + 0.0439871i
\(241\) 23.6259 2.48318i 1.52188 0.159956i 0.693635 0.720327i \(-0.256008\pi\)
0.828242 + 0.560371i \(0.189342\pi\)
\(242\) 10.5043 + 6.06468i 0.675244 + 0.389852i
\(243\) 1.13049 + 15.5474i 0.0725211 + 0.997367i
\(244\) 3.53722 + 4.86857i 0.226448 + 0.311678i
\(245\) −5.19973 + 4.68186i −0.332198 + 0.299113i
\(246\) −14.1047 + 8.41867i −0.899280 + 0.536755i
\(247\) 41.8021i 2.65980i
\(248\) 4.55922 3.19585i 0.289511 0.202937i
\(249\) 1.02120 + 4.48331i 0.0647157 + 0.284118i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) −12.5247 13.9101i −0.790554 0.877999i 0.204343 0.978899i \(-0.434494\pi\)
−0.994897 + 0.100901i \(0.967828\pi\)
\(252\) 0.0789610 0.146423i 0.00497408 0.00922379i
\(253\) 3.18576 + 5.51790i 0.200287 + 0.346907i
\(254\) 1.70202 2.94799i 0.106795 0.184974i
\(255\) 2.58411 + 7.57702i 0.161824 + 0.474491i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −13.9544 1.46667i −0.870454 0.0914884i −0.341240 0.939976i \(-0.610847\pi\)
−0.529215 + 0.848488i \(0.677513\pi\)
\(258\) −3.76238 2.09999i −0.234235 0.130739i
\(259\) −0.109031 + 0.244887i −0.00677483 + 0.0152165i
\(260\) 5.52027 + 1.17337i 0.342352 + 0.0727693i
\(261\) 5.88386 4.54158i 0.364202 0.281117i
\(262\) 0.201418 0.0896771i 0.0124436 0.00554027i
\(263\) 1.19730 3.68491i 0.0738287 0.227221i −0.907332 0.420415i \(-0.861885\pi\)
0.981161 + 0.193194i \(0.0618845\pi\)
\(264\) 0.750366 8.29608i 0.0461818 0.510589i
\(265\) −1.85255 4.16091i −0.113802 0.255602i
\(266\) −0.0853966 0.401759i −0.00523600 0.0246335i
\(267\) 0.189476 + 13.0511i 0.0115957 + 0.798714i
\(268\) −3.01991 1.34455i −0.184471 0.0821316i
\(269\) 16.7866 18.6434i 1.02349 1.13671i 0.0329584 0.999457i \(-0.489507\pi\)
0.990537 0.137249i \(-0.0438262\pi\)
\(270\) 4.38262 2.79153i 0.266718 0.169887i
\(271\) −14.5086 + 19.9693i −0.881333 + 1.21305i 0.0947168 + 0.995504i \(0.469805\pi\)
−0.976050 + 0.217547i \(0.930195\pi\)
\(272\) −0.483131 4.59669i −0.0292941 0.278715i
\(273\) 0.160000 0.517893i 0.00968365 0.0313443i
\(274\) 6.99946 4.04114i 0.422853 0.244134i
\(275\) 3.89080 2.82683i 0.234624 0.170465i
\(276\) 1.32169 1.87582i 0.0795562 0.112911i
\(277\) −18.1270 + 5.88982i −1.08915 + 0.353885i −0.797917 0.602768i \(-0.794064\pi\)
−0.291230 + 0.956653i \(0.594064\pi\)
\(278\) −3.02668 −0.181528
\(279\) −0.201908 16.7021i −0.0120879 0.999927i
\(280\) −0.0554523 −0.00331391
\(281\) −31.1820 + 10.1317i −1.86016 + 0.604404i −0.865540 + 0.500839i \(0.833025\pi\)
−0.994623 + 0.103564i \(0.966975\pi\)
\(282\) 0.367113 0.521029i 0.0218613 0.0310269i
\(283\) −15.1384 + 10.9987i −0.899885 + 0.653805i −0.938436 0.345452i \(-0.887726\pi\)
0.0385517 + 0.999257i \(0.487726\pi\)
\(284\) 2.65991 1.53570i 0.157836 0.0911269i
\(285\) 3.78693 12.2577i 0.224319 0.726081i
\(286\) −2.83708 26.9930i −0.167760 1.59613i
\(287\) 0.309108 0.425451i 0.0182461 0.0251136i
\(288\) −2.82505 + 1.00949i −0.166468 + 0.0594846i
\(289\) 2.91938 3.24230i 0.171728 0.190724i
\(290\) −2.26338 1.00772i −0.132911 0.0591756i
\(291\) −0.0618390 4.25947i −0.00362506 0.249695i
\(292\) 1.47925 + 6.95933i 0.0865667 + 0.407264i
\(293\) 0.942288 + 2.11641i 0.0550491 + 0.123642i 0.938976 0.343983i \(-0.111776\pi\)
−0.883927 + 0.467625i \(0.845110\pi\)
\(294\) 1.09169 12.0698i 0.0636686 0.703923i
\(295\) 1.94453 5.98466i 0.113215 0.348440i
\(296\) 4.41617 1.96621i 0.256685 0.114283i
\(297\) −19.2815 15.8971i −1.11882 0.922442i
\(298\) −8.34373 1.77351i −0.483339 0.102737i
\(299\) 3.04110 6.83041i 0.175871 0.395013i
\(300\) −1.51241 0.844159i −0.0873192 0.0487376i
\(301\) 0.137191 + 0.0144194i 0.00790756 + 0.000831118i
\(302\) 14.5722 + 10.5873i 0.838538 + 0.609233i
\(303\) 9.81809 + 28.7881i 0.564035 + 1.65383i
\(304\) −3.70350 + 6.41465i −0.212410 + 0.367905i
\(305\) −3.00894 5.21164i −0.172292 0.298418i
\(306\) −12.2045 6.58149i −0.697686 0.376239i
\(307\) 8.41836 + 9.34953i 0.480461 + 0.533606i 0.933830 0.357717i \(-0.116445\pi\)
−0.453369 + 0.891323i \(0.649778\pi\)
\(308\) 0.0824107 + 0.253634i 0.00469578 + 0.0144521i
\(309\) −2.50378 10.9922i −0.142435 0.625325i
\(310\) −4.86831 + 2.70178i −0.276501 + 0.153451i
\(311\) 7.04247i 0.399342i 0.979863 + 0.199671i \(0.0639873\pi\)
−0.979863 + 0.199671i \(0.936013\pi\)
\(312\) −8.39355 + 5.00987i −0.475191 + 0.283628i
\(313\) 11.4480 10.3078i 0.647081 0.582634i −0.278847 0.960336i \(-0.589952\pi\)
0.925927 + 0.377702i \(0.123286\pi\)
\(314\) −5.46340 7.51972i −0.308317 0.424362i
\(315\) −0.0938339 + 0.137367i −0.00528694 + 0.00773977i
\(316\) 11.2554 + 6.49830i 0.633165 + 0.365558i
\(317\) −0.195632 + 0.0205617i −0.0109878 + 0.00115486i −0.110021 0.993929i \(-0.535092\pi\)
0.0990330 + 0.995084i \(0.468425\pi\)
\(318\) 7.25272 + 3.10376i 0.406712 + 0.174050i
\(319\) −1.24550 + 11.8502i −0.0697347 + 0.663482i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 34.0524 + 6.72295i 1.90062 + 0.375238i
\(322\) −0.0152742 + 0.0718596i −0.000851200 + 0.00400458i
\(323\) −33.4871 + 7.11790i −1.86327 + 0.396051i
\(324\) −2.27971 + 8.70649i −0.126651 + 0.483694i
\(325\) −5.36738 1.74397i −0.297728 0.0967378i
\(326\) 19.3950 + 6.30182i 1.07419 + 0.349025i
\(327\) −10.5025 14.0227i −0.580788 0.775458i
\(328\) −9.27635 + 1.97175i −0.512201 + 0.108872i
\(329\) −0.00424259 + 0.0199598i −0.000233902 + 0.00110042i
\(330\) −1.61343 + 8.17220i −0.0888165 + 0.449865i
\(331\) −22.7083 20.4467i −1.24816 1.12385i −0.987366 0.158458i \(-0.949348\pi\)
−0.260798 0.965393i \(-0.583986\pi\)
\(332\) −0.277496 + 2.64020i −0.0152296 + 0.144900i
\(333\) 2.60213 14.2670i 0.142596 0.781824i
\(334\) 20.3008 2.13370i 1.11081 0.116751i
\(335\) 2.86283 + 1.65285i 0.156413 + 0.0903050i
\(336\) 0.0704357 0.0652968i 0.00384258 0.00356223i
\(337\) −18.0451 24.8370i −0.982980 1.35296i −0.935208 0.354098i \(-0.884788\pi\)
−0.0477716 0.998858i \(-0.515212\pi\)
\(338\) −14.0084 + 12.6132i −0.761956 + 0.686068i
\(339\) −1.04357 1.74840i −0.0566789 0.0949600i
\(340\) 4.62201i 0.250664i
\(341\) 19.5928 + 18.2520i 1.06101 + 0.988399i
\(342\) 9.62359 + 20.0290i 0.520384 + 1.08304i
\(343\) 0.239847 + 0.738173i 0.0129505 + 0.0398576i
\(344\) −1.66457 1.84870i −0.0897478 0.0996750i
\(345\) −1.51052 + 1.72739i −0.0813238 + 0.0929994i
\(346\) 6.82245 + 11.8168i 0.366777 + 0.635277i
\(347\) −10.9628 + 18.9881i −0.588514 + 1.01934i 0.405914 + 0.913911i \(0.366953\pi\)
−0.994427 + 0.105424i \(0.966380\pi\)
\(348\) 4.06159 1.38519i 0.217724 0.0742540i
\(349\) 9.43959 + 6.85826i 0.505289 + 0.367114i 0.811034 0.584999i \(-0.198905\pi\)
−0.305744 + 0.952114i \(0.598905\pi\)
\(350\) 0.0551485 + 0.00579634i 0.00294781 + 0.000309827i
\(351\) −1.79266 + 29.2701i −0.0956850 + 1.56232i
\(352\) 1.95612 4.39351i 0.104261 0.234175i
\(353\) −33.0664 7.02849i −1.75995 0.374089i −0.789191 0.614148i \(-0.789500\pi\)
−0.970758 + 0.240059i \(0.922833\pi\)
\(354\) 4.57716 + 9.89149i 0.243274 + 0.525727i
\(355\) −2.80586 + 1.24925i −0.148920 + 0.0663033i
\(356\) −2.32871 + 7.16702i −0.123421 + 0.379851i
\(357\) 0.442121 + 0.0399891i 0.0233995 + 0.00211645i
\(358\) −5.55968 12.4872i −0.293838 0.659971i
\(359\) −5.26772 24.7827i −0.278020 1.30798i −0.866382 0.499383i \(-0.833560\pi\)
0.588362 0.808598i \(-0.299773\pi\)
\(360\) 2.91510 0.708659i 0.153639 0.0373496i
\(361\) 32.7631 + 14.5871i 1.72437 + 0.767740i
\(362\) 5.77013 6.40838i 0.303271 0.336817i
\(363\) 20.8595 2.49907i 1.09484 0.131167i
\(364\) 0.183947 0.253182i 0.00964146 0.0132703i
\(365\) −0.743700 7.07583i −0.0389270 0.370366i
\(366\) 9.95884 + 3.07673i 0.520557 + 0.160823i
\(367\) −5.69923 + 3.29045i −0.297497 + 0.171760i −0.641318 0.767275i \(-0.721612\pi\)
0.343821 + 0.939035i \(0.388279\pi\)
\(368\) 1.07181 0.778717i 0.0558721 0.0405934i
\(369\) −10.8126 + 26.3160i −0.562880 + 1.36996i
\(370\) −4.59751 + 1.49382i −0.239013 + 0.0776600i
\(371\) −0.252567 −0.0131126
\(372\) 3.00232 9.16439i 0.155663 0.475152i
\(373\) 4.24372 0.219732 0.109866 0.993946i \(-0.464958\pi\)
0.109866 + 0.993946i \(0.464958\pi\)
\(374\) 21.1407 6.86902i 1.09316 0.355188i
\(375\) 1.41589 + 0.997625i 0.0731162 + 0.0515172i
\(376\) 0.297708 0.216298i 0.0153531 0.0111547i
\(377\) 12.1092 6.99124i 0.623654 0.360067i
\(378\) −0.0425661 0.284977i −0.00218936 0.0146576i
\(379\) −3.46762 32.9922i −0.178120 1.69469i −0.609710 0.792625i \(-0.708714\pi\)
0.431590 0.902070i \(-0.357953\pi\)
\(380\) 4.35373 5.99239i 0.223341 0.307403i
\(381\) −0.701353 5.85412i −0.0359314 0.299916i
\(382\) −5.26145 + 5.84344i −0.269199 + 0.298976i
\(383\) 24.9969 + 11.1293i 1.27728 + 0.568682i 0.929475 0.368885i \(-0.120260\pi\)
0.347805 + 0.937567i \(0.386927\pi\)
\(384\) −1.73187 + 0.0251432i −0.0883790 + 0.00128308i
\(385\) −0.0554472 0.260859i −0.00282585 0.0132946i
\(386\) −1.56032 3.50453i −0.0794180 0.178376i
\(387\) −7.39634 + 0.995229i −0.375977 + 0.0505904i
\(388\) 0.760017 2.33909i 0.0385840 0.118749i
\(389\) 30.3902 13.5306i 1.54084 0.686027i 0.551843 0.833948i \(-0.313925\pi\)
0.988999 + 0.147921i \(0.0472582\pi\)
\(390\) 8.87124 4.10506i 0.449213 0.207868i
\(391\) 5.98958 + 1.27312i 0.302906 + 0.0643846i
\(392\) 2.84591 6.39201i 0.143740 0.322845i
\(393\) 0.186120 0.333456i 0.00938851 0.0168206i
\(394\) 13.3608 + 1.40428i 0.673108 + 0.0707466i
\(395\) −10.5145 7.63921i −0.529040 0.384370i
\(396\) −7.57363 12.2802i −0.380589 0.617105i
\(397\) −2.60107 + 4.50518i −0.130544 + 0.226109i −0.923886 0.382667i \(-0.875006\pi\)
0.793342 + 0.608776i \(0.208339\pi\)
\(398\) −11.0671 19.1688i −0.554743 0.960844i
\(399\) −0.535538 0.468304i −0.0268104 0.0234445i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −10.2012 31.3960i −0.509423 1.56784i −0.793206 0.608954i \(-0.791589\pi\)
0.283783 0.958889i \(-0.408411\pi\)
\(402\) −5.58266 + 1.27160i −0.278438 + 0.0634218i
\(403\) 3.81357 31.1899i 0.189968 1.55368i
\(404\) 17.5609i 0.873685i
\(405\) 3.17730 8.42050i 0.157881 0.418418i
\(406\) −0.102099 + 0.0919302i −0.00506708 + 0.00456242i
\(407\) 13.6652 + 18.8085i 0.677359 + 0.932305i
\(408\) −5.44256 5.87090i −0.269447 0.290653i
\(409\) −16.0188 9.24846i −0.792079 0.457307i 0.0486150 0.998818i \(-0.484519\pi\)
−0.840694 + 0.541511i \(0.817853\pi\)
\(410\) 9.43164 0.991305i 0.465795 0.0489571i
\(411\) 5.50763 12.8700i 0.271671 0.634828i
\(412\) 0.680366 6.47325i 0.0335192 0.318914i
\(413\) −0.259314 0.233487i −0.0127600 0.0114892i
\(414\) −0.115379 3.97282i −0.00567057 0.195254i
\(415\) 0.551951 2.59673i 0.0270942 0.127468i
\(416\) −5.52027 + 1.17337i −0.270653 + 0.0575292i
\(417\) −4.19599 + 3.14263i −0.205478 + 0.153895i
\(418\) −33.8790 11.0080i −1.65708 0.538417i
\(419\) 1.99398 + 0.647883i 0.0974123 + 0.0316512i 0.357318 0.933983i \(-0.383691\pi\)
−0.259905 + 0.965634i \(0.583691\pi\)
\(420\) −0.0768752 + 0.0575765i −0.00375113 + 0.00280945i
\(421\) −9.89485 + 2.10321i −0.482245 + 0.102504i −0.442618 0.896710i \(-0.645950\pi\)
−0.0396271 + 0.999215i \(0.512617\pi\)
\(422\) −0.873567 + 4.10981i −0.0425246 + 0.200063i
\(423\) −0.0320478 1.10350i −0.00155822 0.0536538i
\(424\) 3.38479 + 3.04767i 0.164380 + 0.148008i
\(425\) 0.483131 4.59669i 0.0234353 0.222972i
\(426\) 2.09299 4.89079i 0.101406 0.236960i
\(427\) −0.331877 + 0.0348817i −0.0160607 + 0.00168804i
\(428\) 17.3549 + 10.0198i 0.838879 + 0.484327i
\(429\) −31.9602 34.4756i −1.54305 1.66450i
\(430\) 1.46221 + 2.01256i 0.0705142 + 0.0970544i
\(431\) −3.40460 + 3.06551i −0.163994 + 0.147661i −0.747042 0.664777i \(-0.768527\pi\)
0.583048 + 0.812438i \(0.301860\pi\)
\(432\) −2.86831 + 4.33276i −0.138001 + 0.208460i
\(433\) 0.0498821i 0.00239718i −0.999999 0.00119859i \(-0.999618\pi\)
0.999999 0.00119859i \(-0.000381523\pi\)
\(434\) 0.0270650 + 0.307557i 0.00129916 + 0.0147632i
\(435\) −4.18413 + 0.953051i −0.200614 + 0.0456953i
\(436\) −3.12570 9.61992i −0.149694 0.460711i
\(437\) −6.56621 7.29251i −0.314104 0.348848i
\(438\) 9.27667 + 8.11203i 0.443256 + 0.387608i
\(439\) −14.9447 25.8850i −0.713273 1.23543i −0.963622 0.267269i \(-0.913879\pi\)
0.250349 0.968156i \(-0.419455\pi\)
\(440\) −2.40465 + 4.16497i −0.114637 + 0.198557i
\(441\) −11.0187 17.8662i −0.524699 0.850772i
\(442\) −21.1030 15.3322i −1.00377 0.729279i
\(443\) 32.6130 + 3.42777i 1.54949 + 0.162858i 0.840286 0.542144i \(-0.182387\pi\)
0.709205 + 0.705002i \(0.249054\pi\)
\(444\) 4.08075 7.31116i 0.193664 0.346972i
\(445\) 3.06511 6.88434i 0.145300 0.326349i
\(446\) −19.4988 4.14460i −0.923294 0.196252i
\(447\) −13.4086 + 6.20468i −0.634207 + 0.293471i
\(448\) 0.0506582 0.0225545i 0.00239337 0.00106560i
\(449\) −7.83440 + 24.1118i −0.369728 + 1.13791i 0.577239 + 0.816575i \(0.304130\pi\)
−0.946967 + 0.321331i \(0.895870\pi\)
\(450\) −2.97320 + 0.400066i −0.140158 + 0.0188593i
\(451\) −18.5510 41.6663i −0.873533 1.96199i
\(452\) −0.244416 1.14989i −0.0114964 0.0540861i
\(453\) 31.1949 0.452887i 1.46566 0.0212785i
\(454\) 5.13416 + 2.28588i 0.240958 + 0.107282i
\(455\) −0.209404 + 0.232567i −0.00981703 + 0.0109029i
\(456\) 1.52610 + 12.7382i 0.0714663 + 0.596521i
\(457\) 3.62253 4.98599i 0.169455 0.233235i −0.715840 0.698264i \(-0.753956\pi\)
0.885295 + 0.465029i \(0.153956\pi\)
\(458\) 2.39809 + 22.8163i 0.112056 + 1.06614i
\(459\) −23.7531 + 3.54793i −1.10870 + 0.165603i
\(460\) −1.14734 + 0.662417i −0.0534950 + 0.0308853i
\(461\) −20.8915 + 15.1785i −0.973013 + 0.706935i −0.956136 0.292922i \(-0.905372\pi\)
−0.0168765 + 0.999858i \(0.505372\pi\)
\(462\) 0.377599 + 0.266053i 0.0175675 + 0.0123779i
\(463\) −11.9045 + 3.86802i −0.553251 + 0.179762i −0.572282 0.820057i \(-0.693942\pi\)
0.0190314 + 0.999819i \(0.493942\pi\)
\(464\) 2.47758 0.115019
\(465\) −3.94381 + 8.80036i −0.182890 + 0.408107i
\(466\) −17.3662 −0.804474
\(467\) −3.68440 + 1.19713i −0.170494 + 0.0553968i −0.393020 0.919530i \(-0.628570\pi\)
0.222526 + 0.974927i \(0.428570\pi\)
\(468\) −6.43446 + 15.6604i −0.297433 + 0.723904i
\(469\) 0.148300 0.107746i 0.00684786 0.00497526i
\(470\) −0.318686 + 0.183994i −0.0146999 + 0.00848699i
\(471\) −15.3819 4.75214i −0.708759 0.218967i
\(472\) 0.657760 + 6.25817i 0.0302759 + 0.288056i
\(473\) 7.03222 9.67902i 0.323342 0.445042i
\(474\) 22.3509 2.67775i 1.02661 0.122993i
\(475\) −4.95625 + 5.50447i −0.227408 + 0.252563i
\(476\) 0.234142 + 0.104247i 0.0107319 + 0.00477815i
\(477\) 13.2773 3.22771i 0.607928 0.147787i
\(478\) −1.41370 6.65092i −0.0646610 0.304206i
\(479\) 3.37512 + 7.58063i 0.154213 + 0.346368i 0.974086 0.226177i \(-0.0726228\pi\)
−0.819873 + 0.572545i \(0.805956\pi\)
\(480\) 1.72501 + 0.156024i 0.0787355 + 0.00712149i
\(481\) 8.43051 25.9464i 0.384398 1.18306i
\(482\) 21.7022 9.66244i 0.988508 0.440112i
\(483\) 0.0534372 + 0.115481i 0.00243148 + 0.00525455i
\(484\) 11.8643 + 2.52183i 0.539286 + 0.114629i
\(485\) −1.00036 + 2.24684i −0.0454238 + 0.102024i
\(486\) 5.87958 + 14.4371i 0.266703 + 0.654881i
\(487\) 38.4362 + 4.03981i 1.74171 + 0.183061i 0.921337 0.388766i \(-0.127099\pi\)
0.820374 + 0.571827i \(0.193765\pi\)
\(488\) 4.86857 + 3.53722i 0.220390 + 0.160123i
\(489\) 33.4311 11.4016i 1.51181 0.515597i
\(490\) −3.49846 + 6.05951i −0.158044 + 0.273741i
\(491\) −1.15064 1.99297i −0.0519277 0.0899415i 0.838893 0.544296i \(-0.183203\pi\)
−0.890821 + 0.454355i \(0.849870\pi\)
\(492\) −10.8128 + 12.3652i −0.487480 + 0.557467i
\(493\) 7.66249 + 8.51005i 0.345101 + 0.383274i
\(494\) 12.9176 + 39.7562i 0.581189 + 1.78871i
\(495\) 6.24851 + 13.0046i 0.280850 + 0.584514i
\(496\) 3.34851 4.44831i 0.150352 0.199735i
\(497\) 0.170316i 0.00763971i
\(498\) 2.35664 + 3.94832i 0.105603 + 0.176928i
\(499\) 10.8749 9.79176i 0.486825 0.438339i −0.388806 0.921320i \(-0.627112\pi\)
0.875631 + 0.482980i \(0.160446\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) 25.9283 24.0365i 1.15839 1.07387i
\(502\) −16.2102 9.35895i −0.723496 0.417711i
\(503\) 22.0793 2.32063i 0.984466 0.103472i 0.401406 0.915900i \(-0.368522\pi\)
0.583060 + 0.812429i \(0.301855\pi\)
\(504\) 0.0298492 0.163657i 0.00132959 0.00728986i
\(505\) 1.83561 17.4647i 0.0816836 0.777167i
\(506\) 4.73496 + 4.26338i 0.210495 + 0.189530i
\(507\) −6.32388 + 32.0311i −0.280853 + 1.42255i
\(508\) 0.707742 3.32966i 0.0314010 0.147730i
\(509\) −42.6201 + 9.05919i −1.88910 + 0.401542i −0.998574 0.0533821i \(-0.983000\pi\)
−0.890530 + 0.454924i \(0.849667\pi\)
\(510\) 4.79907 + 6.40764i 0.212506 + 0.283735i
\(511\) −0.375223 0.121917i −0.0165989 0.00539330i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 34.1377 + 17.7745i 1.50722 + 0.784766i
\(514\) −13.7247 + 2.91727i −0.605370 + 0.128675i
\(515\) −1.35328 + 6.36667i −0.0596326 + 0.280549i
\(516\) −4.22717 0.834567i −0.186091 0.0367397i
\(517\) 1.31519 + 1.18420i 0.0578419 + 0.0520811i
\(518\) −0.0280201 + 0.266593i −0.00123113 + 0.0117134i
\(519\) 21.7277 + 9.29825i 0.953740 + 0.408148i
\(520\) 5.61268 0.589916i 0.246132 0.0258695i
\(521\) −6.88015 3.97226i −0.301425 0.174028i 0.341658 0.939824i \(-0.389012\pi\)
−0.643083 + 0.765797i \(0.722345\pi\)
\(522\) 4.19246 6.13751i 0.183499 0.268632i
\(523\) 16.0130 + 22.0400i 0.700198 + 0.963741i 0.999953 + 0.00972406i \(0.00309531\pi\)
−0.299754 + 0.954016i \(0.596905\pi\)
\(524\) 0.163848 0.147530i 0.00715774 0.00644486i
\(525\) 0.0824725 0.0492255i 0.00359940 0.00214838i
\(526\) 3.87455i 0.168938i
\(527\) 25.6352 2.25590i 1.11669 0.0982685i
\(528\) −1.84999 8.12192i −0.0805105 0.353461i
\(529\) −6.56501 20.2050i −0.285435 0.878479i
\(530\) −3.04767 3.38479i −0.132383 0.147026i
\(531\) 16.6159 + 8.96038i 0.721068 + 0.388847i
\(532\) −0.205367 0.355707i −0.00890381 0.0154219i
\(533\) −26.7608 + 46.3510i −1.15914 + 2.00768i
\(534\) 4.21321 + 12.3538i 0.182324 + 0.534600i
\(535\) −16.2124 11.7790i −0.700925 0.509252i
\(536\) −3.28760 0.345540i −0.142003 0.0149251i
\(537\) −20.6732 11.5388i −0.892112 0.497936i
\(538\) 10.2039 22.9182i 0.439919 0.988075i
\(539\) 32.9150 + 6.99629i 1.41775 + 0.301352i
\(540\) 3.30549 4.00921i 0.142246 0.172529i
\(541\) −30.9134 + 13.7635i −1.32907 + 0.591740i −0.943633 0.330995i \(-0.892616\pi\)
−0.385436 + 0.922734i \(0.625949\pi\)
\(542\) −7.62761 + 23.4754i −0.327634 + 1.00835i
\(543\) 1.34545 14.8753i 0.0577386 0.638361i
\(544\) −1.87994 4.22241i −0.0806017 0.181034i
\(545\) 2.10302 + 9.89395i 0.0900836 + 0.423810i
\(546\) −0.00786857 0.541988i −0.000336744 0.0231950i
\(547\) 13.8563 + 6.16924i 0.592454 + 0.263778i 0.680987 0.732296i \(-0.261551\pi\)
−0.0885327 + 0.996073i \(0.528218\pi\)
\(548\) 5.40810 6.00630i 0.231023 0.256577i
\(549\) 17.0009 6.07498i 0.725579 0.259274i
\(550\) 2.82683 3.89080i 0.120537 0.165904i
\(551\) −1.91825 18.2509i −0.0817202 0.777516i
\(552\) 0.677340 2.19243i 0.0288295 0.0933161i
\(553\) −0.624137 + 0.360345i −0.0265410 + 0.0153234i
\(554\) −15.4198 + 11.2031i −0.655123 + 0.475974i
\(555\) −4.82262 + 6.84456i −0.204709 + 0.290535i
\(556\) −2.87855 + 0.935296i −0.122078 + 0.0396654i
\(557\) 2.66733 0.113018 0.0565092 0.998402i \(-0.482003\pi\)
0.0565092 + 0.998402i \(0.482003\pi\)
\(558\) −5.35325 15.8222i −0.226621 0.669808i
\(559\) −14.0394 −0.593802
\(560\) −0.0527382 + 0.0171357i −0.00222860 + 0.000724115i
\(561\) 22.1758 31.4733i 0.936264 1.32880i
\(562\) −26.5250 + 19.2715i −1.11889 + 0.812921i
\(563\) 34.4344 19.8807i 1.45124 0.837873i 0.452687 0.891670i \(-0.350466\pi\)
0.998552 + 0.0537967i \(0.0171323\pi\)
\(564\) 0.188139 0.608973i 0.00792207 0.0256424i
\(565\) 0.122881 + 1.16914i 0.00516965 + 0.0491859i
\(566\) −10.9987 + 15.1384i −0.462310 + 0.636315i
\(567\) −0.354905 0.350876i −0.0149046 0.0147354i
\(568\) 2.05516 2.28249i 0.0862328 0.0957712i
\(569\) −36.6236 16.3059i −1.53534 0.683578i −0.547182 0.837013i \(-0.684300\pi\)
−0.988159 + 0.153436i \(0.950966\pi\)
\(570\) −0.186236 12.8280i −0.00780056 0.537304i
\(571\) −4.26990 20.0883i −0.178690 0.840670i −0.972573 0.232599i \(-0.925277\pi\)
0.793883 0.608071i \(-0.208056\pi\)
\(572\) −11.0395 24.7952i −0.461586 1.03674i
\(573\) −1.22684 + 13.5640i −0.0512518 + 0.566642i
\(574\) 0.162508 0.500148i 0.00678295 0.0208758i
\(575\) 1.21030 0.538858i 0.0504728 0.0224719i
\(576\) −2.37484 + 1.83307i −0.0989516 + 0.0763779i
\(577\) 33.4289 + 7.10553i 1.39166 + 0.295807i 0.841954 0.539550i \(-0.181405\pi\)
0.549708 + 0.835357i \(0.314739\pi\)
\(578\) 1.77457 3.98575i 0.0738124 0.165785i
\(579\) −5.80190 3.23835i −0.241119 0.134581i
\(580\) −2.46401 0.258978i −0.102312 0.0107535i
\(581\) −0.119096 0.0865286i −0.00494095 0.00358981i
\(582\) −1.37506 4.03189i −0.0569982 0.167127i
\(583\) −10.9524 + 18.9701i −0.453602 + 0.785662i
\(584\) 3.55740 + 6.16161i 0.147206 + 0.254969i
\(585\) 8.03617 14.9021i 0.332255 0.616124i
\(586\) 1.55018 + 1.72165i 0.0640372 + 0.0711206i
\(587\) −13.4062 41.2600i −0.553332 1.70298i −0.700308 0.713841i \(-0.746954\pi\)
0.146975 0.989140i \(-0.453046\pi\)
\(588\) −2.69150 11.8164i −0.110996 0.487299i
\(589\) −35.3607 21.2224i −1.45701 0.874456i
\(590\) 6.29264i 0.259064i
\(591\) 19.9806 11.9259i 0.821892 0.490564i
\(592\) 3.59244 3.23465i 0.147648 0.132943i
\(593\) −24.0691 33.1283i −0.988401 1.36042i −0.932178 0.361999i \(-0.882094\pi\)
−0.0562229 0.998418i \(-0.517906\pi\)
\(594\) −23.2502 9.16072i −0.953969 0.375869i
\(595\) −0.221963 0.128150i −0.00909959 0.00525365i
\(596\) −8.48341 + 0.891642i −0.347494 + 0.0365231i
\(597\) −35.2458 15.0832i −1.44251 0.617316i
\(598\) 0.781540 7.43586i 0.0319596 0.304075i
\(599\) 25.6952 + 23.1361i 1.04988 + 0.945316i 0.998575 0.0533675i \(-0.0169955\pi\)
0.0513043 + 0.998683i \(0.483662\pi\)
\(600\) −1.69925 0.335482i −0.0693716 0.0136960i
\(601\) 1.15150 5.41737i 0.0469706 0.220979i −0.948402 0.317071i \(-0.897301\pi\)
0.995373 + 0.0960914i \(0.0306341\pi\)
\(602\) 0.134932 0.0286807i 0.00549943 0.00116894i
\(603\) −6.41910 + 7.55939i −0.261406 + 0.307842i
\(604\) 17.1307 + 5.56610i 0.697038 + 0.226481i
\(605\) −11.5357 3.74818i −0.468993 0.152385i
\(606\) 18.2336 + 24.3452i 0.740689 + 0.988955i
\(607\) 41.6095 8.84438i 1.68888 0.358982i 0.739510 0.673145i \(-0.235057\pi\)
0.949369 + 0.314163i \(0.101724\pi\)
\(608\) −1.54000 + 7.24514i −0.0624553 + 0.293829i
\(609\) −0.0460911 + 0.233456i −0.00186770 + 0.00946011i
\(610\) −4.47216 4.02675i −0.181072 0.163038i
\(611\) 0.217082 2.06539i 0.00878218 0.0835569i
\(612\) −13.6410 2.48796i −0.551404 0.100570i
\(613\) −38.4636 + 4.04269i −1.55353 + 0.163283i −0.842041 0.539414i \(-0.818646\pi\)
−0.711489 + 0.702697i \(0.751979\pi\)
\(614\) 10.8955 + 6.29052i 0.439707 + 0.253865i
\(615\) 12.0461 11.1672i 0.485746 0.450306i
\(616\) 0.156754 + 0.215754i 0.00631581 + 0.00869297i
\(617\) −5.69407 + 5.12696i −0.229235 + 0.206404i −0.775741 0.631051i \(-0.782624\pi\)
0.546507 + 0.837455i \(0.315957\pi\)
\(618\) −5.77802 9.68051i −0.232426 0.389407i
\(619\) 18.7668i 0.754300i 0.926152 + 0.377150i \(0.123096\pi\)
−0.926152 + 0.377150i \(0.876904\pi\)
\(620\) −3.79514 + 4.07393i −0.152416 + 0.163613i
\(621\) −4.28497 5.38785i −0.171950 0.216207i
\(622\) 2.17624 + 6.69779i 0.0872594 + 0.268557i
\(623\) −0.279616 0.310545i −0.0112026 0.0124417i
\(624\) −6.43461 + 7.35842i −0.257590 + 0.294572i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 7.70242 13.3410i 0.307851 0.533213i
\(627\) −58.3972 + 19.9161i −2.33216 + 0.795374i
\(628\) −7.51972 5.46340i −0.300070 0.218013i
\(629\) 22.2209 + 2.33551i 0.886004 + 0.0931227i
\(630\) −0.0467925 + 0.159640i −0.00186426 + 0.00636022i
\(631\) 4.65845 10.4631i 0.185450 0.416528i −0.796764 0.604290i \(-0.793457\pi\)
0.982214 + 0.187762i \(0.0601235\pi\)
\(632\) 12.7126 + 2.70215i 0.505680 + 0.107486i
\(633\) 3.05620 + 6.60460i 0.121473 + 0.262509i
\(634\) −0.179703 + 0.0800088i −0.00713691 + 0.00317756i
\(635\) −1.05191 + 3.23744i −0.0417437 + 0.128474i
\(636\) 7.85686 + 0.710639i 0.311545 + 0.0281787i
\(637\) −16.0611 36.0739i −0.636365 1.42930i
\(638\) 2.47736 + 11.6551i 0.0980796 + 0.461428i
\(639\) −2.17657 8.95342i −0.0861038 0.354192i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 14.4259 16.0216i 0.569790 0.632816i −0.387526 0.921859i \(-0.626670\pi\)
0.957316 + 0.289043i \(0.0933371\pi\)
\(642\) 34.4633 4.12887i 1.36016 0.162954i
\(643\) −23.9445 + 32.9568i −0.944280 + 1.29969i 0.00974134 + 0.999953i \(0.496899\pi\)
−0.954022 + 0.299738i \(0.903101\pi\)
\(644\) 0.00767918 + 0.0730625i 0.000302602 + 0.00287907i
\(645\) 4.11677 + 1.27185i 0.162098 + 0.0500792i
\(646\) −29.6486 + 17.1176i −1.16651 + 0.673483i
\(647\) 18.8482 13.6940i 0.740998 0.538367i −0.152025 0.988377i \(-0.548580\pi\)
0.893024 + 0.450010i \(0.148580\pi\)
\(648\) 0.522317 + 8.98483i 0.0205185 + 0.352957i
\(649\) −28.7820 + 9.35184i −1.12979 + 0.367092i
\(650\) −5.64359 −0.221360
\(651\) 0.356860 + 0.398274i 0.0139864 + 0.0156096i
\(652\) 20.3931 0.798656
\(653\) −23.6532 + 7.68539i −0.925622 + 0.300753i −0.732771 0.680475i \(-0.761773\pi\)
−0.192851 + 0.981228i \(0.561773\pi\)
\(654\) −14.3217 10.0910i −0.560023 0.394588i
\(655\) −0.178372 + 0.129595i −0.00696956 + 0.00506368i
\(656\) −8.21303 + 4.74179i −0.320665 + 0.185136i
\(657\) 21.2833 + 1.61393i 0.830342 + 0.0629654i
\(658\) 0.00213298 + 0.0202939i 8.31522e−5 + 0.000791140i
\(659\) −6.52985 + 8.98756i −0.254367 + 0.350106i −0.917035 0.398808i \(-0.869424\pi\)
0.662668 + 0.748913i \(0.269424\pi\)
\(660\) 0.990884 + 8.27080i 0.0385701 + 0.321941i
\(661\) −11.8590 + 13.1707i −0.461260 + 0.512281i −0.928238 0.371988i \(-0.878676\pi\)
0.466978 + 0.884269i \(0.345343\pi\)
\(662\) −27.9153 12.4287i −1.08496 0.483055i
\(663\) −45.1753 + 0.655854i −1.75446 + 0.0254713i
\(664\) 0.551951 + 2.59673i 0.0214199 + 0.100773i
\(665\) 0.167061 + 0.375225i 0.00647835 + 0.0145506i
\(666\) −1.93396 14.3728i −0.0749394 0.556934i
\(667\) −1.01431 + 3.12173i −0.0392743 + 0.120874i
\(668\) 18.6479 8.30257i 0.721508 0.321236i
\(669\) −31.3352 + 14.5000i −1.21149 + 0.560601i
\(670\) 3.23347 + 0.687295i 0.124920 + 0.0265525i
\(671\) −11.7717 + 26.4397i −0.454441 + 1.02069i
\(672\) 0.0468106 0.0838668i 0.00180576 0.00323523i
\(673\) 20.7893 + 2.18504i 0.801367 + 0.0842271i 0.496353 0.868121i \(-0.334672\pi\)
0.305014 + 0.952348i \(0.401339\pi\)
\(674\) −24.8370 18.0451i −0.956684 0.695072i
\(675\) −3.70646 + 3.64173i −0.142662 + 0.140170i
\(676\) −9.42507 + 16.3247i −0.362503 + 0.627873i
\(677\) −16.8300 29.1503i −0.646828 1.12034i −0.983876 0.178851i \(-0.942762\pi\)
0.337048 0.941487i \(-0.390571\pi\)
\(678\) −1.53278 1.34035i −0.0588660 0.0514757i
\(679\) 0.0912581 + 0.101352i 0.00350216 + 0.00388955i
\(680\) 1.42828 + 4.39579i 0.0547720 + 0.168571i
\(681\) 9.49110 2.16186i 0.363700 0.0828426i
\(682\) 24.2740 + 11.3041i 0.929499 + 0.432858i
\(683\) 3.06638i 0.117332i −0.998278 0.0586659i \(-0.981315\pi\)
0.998278 0.0586659i \(-0.0186847\pi\)
\(684\) 15.3419 + 16.0748i 0.586611 + 0.614636i
\(685\) −6.00630 + 5.40810i −0.229489 + 0.206633i
\(686\) 0.456216 + 0.627928i 0.0174184 + 0.0239744i
\(687\) 27.0149 + 29.1411i 1.03068 + 1.11180i
\(688\) −2.15438 1.24383i −0.0821350 0.0474207i
\(689\) 25.5639 2.68688i 0.973909 0.102362i
\(690\) −0.902801 + 2.10962i −0.0343690 + 0.0803119i
\(691\) 3.20024 30.4483i 0.121743 1.15831i −0.747618 0.664129i \(-0.768803\pi\)
0.869361 0.494178i \(-0.164531\pi\)
\(692\) 10.1401 + 9.13023i 0.385470 + 0.347079i
\(693\) 0.799722 0.0232256i 0.0303789 0.000882267i
\(694\) −4.55859 + 21.4465i −0.173042 + 0.814097i
\(695\) 2.96054 0.629283i 0.112300 0.0238700i
\(696\) 3.43475 2.57249i 0.130194 0.0975102i
\(697\) −41.6879 13.5452i −1.57904 0.513061i
\(698\) 11.0969 + 3.60560i 0.420024 + 0.136474i
\(699\) −24.0753 + 18.0315i −0.910613 + 0.682013i
\(700\) 0.0542405 0.0115292i 0.00205010 0.000435762i
\(701\) 2.85404 13.4272i 0.107796 0.507138i −0.890811 0.454373i \(-0.849863\pi\)
0.998607 0.0527651i \(-0.0168035\pi\)
\(702\) 7.34005 + 28.3915i 0.277032 + 1.07157i
\(703\) −26.6092 23.9590i −1.00358 0.903632i
\(704\) 0.502709 4.78295i 0.0189465 0.180264i
\(705\) −0.250763 + 0.585971i −0.00944428 + 0.0220689i
\(706\) −33.6200 + 3.53360i −1.26530 + 0.132989i
\(707\) −0.843326 0.486895i −0.0317166 0.0183116i
\(708\) 7.40978 + 7.99294i 0.278477 + 0.300393i
\(709\) 17.2317 + 23.7174i 0.647151 + 0.890727i 0.998972 0.0453406i \(-0.0144373\pi\)
−0.351821 + 0.936067i \(0.614437\pi\)
\(710\) −2.28249 + 2.05516i −0.0856604 + 0.0771290i
\(711\) 28.2055 26.9194i 1.05779 1.00956i
\(712\) 7.53585i 0.282418i
\(713\) 4.23397 + 6.04021i 0.158563 + 0.226208i
\(714\) 0.432839 0.0985911i 0.0161986 0.00368968i
\(715\) 8.38725 + 25.8133i 0.313666 + 0.965363i
\(716\) −9.14633 10.1580i −0.341815 0.379623i
\(717\) −8.86556 7.75253i −0.331090 0.289524i
\(718\) −12.6682 21.9419i −0.472772 0.818865i
\(719\) 10.8375 18.7710i 0.404169 0.700041i −0.590055 0.807363i \(-0.700894\pi\)
0.994224 + 0.107321i \(0.0342274\pi\)
\(720\) 2.55344 1.57479i 0.0951610 0.0586889i
\(721\) 0.292002 + 0.212152i 0.0108747 + 0.00790094i
\(722\) 35.6672 + 3.74877i 1.32740 + 0.139515i
\(723\) 20.0539 35.9289i 0.745811 1.33621i
\(724\) 3.50742 7.87780i 0.130352 0.292776i
\(725\) 2.42344 + 0.515119i 0.0900044 + 0.0191310i
\(726\) 19.0663 8.82269i 0.707617 0.327441i
\(727\) 27.8518 12.4004i 1.03297 0.459906i 0.180988 0.983485i \(-0.442070\pi\)
0.851977 + 0.523579i \(0.175404\pi\)
\(728\) 0.0967069 0.297633i 0.00358420 0.0110310i
\(729\) 23.1412 + 13.9098i 0.857082 + 0.515179i
\(730\) −2.89385 6.49970i −0.107106 0.240565i
\(731\) −2.39057 11.2467i −0.0884184 0.415976i
\(732\) 10.4222 0.151309i 0.385215 0.00559254i
\(733\) 9.20971 + 4.10043i 0.340168 + 0.151453i 0.569709 0.821846i \(-0.307056\pi\)
−0.229541 + 0.973299i \(0.573722\pi\)
\(734\) −4.40348 + 4.89056i −0.162535 + 0.180514i
\(735\) 1.44161 + 12.0330i 0.0531746 + 0.443843i
\(736\) 0.778717 1.07181i 0.0287039 0.0395075i
\(737\) −1.66181 15.8110i −0.0612134 0.582407i
\(738\) −2.15127 + 28.3693i −0.0791892 + 1.04429i
\(739\) −15.8869 + 9.17233i −0.584410 + 0.337409i −0.762884 0.646535i \(-0.776217\pi\)
0.178474 + 0.983945i \(0.442884\pi\)
\(740\) −3.91087 + 2.84141i −0.143766 + 0.104452i
\(741\) 59.1872 + 41.7028i 2.17429 + 1.53199i
\(742\) −0.240206 + 0.0780476i −0.00881823 + 0.00286522i
\(743\) 9.74870 0.357645 0.178823 0.983881i \(-0.442771\pi\)
0.178823 + 0.983881i \(0.442771\pi\)
\(744\) 0.0234219 9.64362i 0.000858688 0.353552i
\(745\) 8.53013 0.312520
\(746\) 4.03602 1.31138i 0.147769 0.0480131i
\(747\) 7.36665 + 3.02676i 0.269532 + 0.110743i
\(748\) 17.9833 13.0656i 0.657535 0.477727i
\(749\) −0.962367 + 0.555623i −0.0351641 + 0.0203020i
\(750\) 1.65487 + 0.511264i 0.0604275 + 0.0186687i
\(751\) 3.83030 + 36.4428i 0.139770 + 1.32982i 0.809459 + 0.587177i \(0.199761\pi\)
−0.669689 + 0.742641i \(0.733573\pi\)
\(752\) 0.216298 0.297708i 0.00788756 0.0108563i
\(753\) −32.1902 + 3.85654i −1.17308 + 0.140540i
\(754\) 9.35610 10.3910i 0.340729 0.378418i
\(755\) −16.4550 7.32625i −0.598860 0.266630i
\(756\) −0.128545 0.257876i −0.00467515 0.00937884i
\(757\) −5.82549 27.4068i −0.211731 0.996116i −0.947715 0.319117i \(-0.896614\pi\)
0.735984 0.676998i \(-0.236720\pi\)
\(758\) −13.4930 30.3059i −0.490089 1.10076i
\(759\) 10.9909 + 0.994110i 0.398945 + 0.0360839i
\(760\) 2.28889 7.04448i 0.0830267 0.255530i
\(761\) 7.18615 3.19948i 0.260498 0.115981i −0.272332 0.962203i \(-0.587795\pi\)
0.532830 + 0.846222i \(0.321128\pi\)
\(762\) −2.47605 5.35087i −0.0896978 0.193842i
\(763\) 0.548642 + 0.116617i 0.0198622 + 0.00422183i
\(764\) −3.19822 + 7.18332i −0.115708 + 0.259883i
\(765\) 13.3062 + 3.90020i 0.481087 + 0.141012i
\(766\) 27.2126 + 2.86016i 0.983231 + 0.103342i
\(767\) 28.7307 + 20.8741i 1.03741 + 0.753719i
\(768\) −1.63933 + 0.559089i −0.0591544 + 0.0201744i
\(769\) −20.1776 + 34.9486i −0.727623 + 1.26028i 0.230262 + 0.973129i \(0.426042\pi\)
−0.957885 + 0.287151i \(0.907292\pi\)
\(770\) −0.133343 0.230957i −0.00480536 0.00832312i
\(771\) −15.9980 + 18.2948i −0.576152 + 0.658870i
\(772\) −2.56691 2.85084i −0.0923850 0.102604i
\(773\) 7.06065 + 21.7304i 0.253954 + 0.781589i 0.994034 +