Properties

Label 150.2.h.b.19.2
Level 150
Weight 2
Character 150.19
Analytic conductor 1.198
Analytic rank 0
Dimension 16
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.h (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 5 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 19.2
Root \(3.42137 - 0.309017i\)
Character \(\chi\) = 150.19
Dual form 150.2.h.b.79.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.23558 - 0.0466062i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.52206i q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.23558 - 0.0466062i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.52206i q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +(-2.11176 + 0.735158i) q^{10} +(1.62388 + 4.99779i) q^{11} +(0.951057 + 0.309017i) q^{12} +(-0.588802 - 0.191313i) q^{13} +(1.08838 + 3.34968i) q^{14} +(1.35175 + 1.78123i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.02525 - 2.78752i) q^{17} -1.00000i q^{18} +(1.83995 + 1.33680i) q^{19} +(1.78123 - 1.35175i) q^{20} +(2.84941 - 2.07022i) q^{21} +(-3.08880 - 4.25137i) q^{22} +(-8.51557 + 2.76688i) q^{23} -1.00000 q^{24} +(4.99566 - 0.208384i) q^{25} +0.619103 q^{26} +(-0.951057 + 0.309017i) q^{27} +(-2.07022 - 2.84941i) q^{28} +(-2.16949 + 1.57623i) q^{29} +(-1.83602 - 1.27634i) q^{30} +(-7.90309 - 5.74193i) q^{31} +1.00000i q^{32} +(-3.08880 + 4.25137i) q^{33} +(-1.06474 + 3.27693i) q^{34} +(-0.164150 - 7.87386i) q^{35} +(0.309017 + 0.951057i) q^{36} +(-0.952702 - 0.309552i) q^{37} +(-2.16299 - 0.702799i) q^{38} +(-0.191313 - 0.588802i) q^{39} +(-1.27634 + 1.83602i) q^{40} +(1.94584 - 5.98868i) q^{41} +(-2.07022 + 2.84941i) q^{42} +1.51251i q^{43} +(4.25137 + 3.08880i) q^{44} +(-0.646508 + 2.14057i) q^{45} +(7.24378 - 5.26291i) q^{46} +(-6.27522 - 8.63710i) q^{47} +(0.951057 - 0.309017i) q^{48} -5.40494 q^{49} +(-4.68676 + 1.74193i) q^{50} +3.44557 q^{51} +(-0.588802 + 0.191313i) q^{52} +(0.325260 + 0.447681i) q^{53} +(0.809017 - 0.587785i) q^{54} +(3.86324 + 11.0973i) q^{55} +(2.84941 + 2.07022i) q^{56} +2.27431i q^{57} +(1.57623 - 2.16949i) q^{58} +(-0.0861451 + 0.265127i) q^{59} +(2.14057 + 0.646508i) q^{60} +(1.13786 + 3.50196i) q^{61} +(9.29064 + 3.01871i) q^{62} +(3.34968 + 1.08838i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-1.32523 - 0.400255i) q^{65} +(1.62388 - 4.99779i) q^{66} +(-7.00176 + 9.63710i) q^{67} -3.44557i q^{68} +(-7.24378 - 5.26291i) q^{69} +(2.58927 + 7.43777i) q^{70} +(-3.84168 + 2.79115i) q^{71} +(-0.587785 - 0.809017i) q^{72} +(9.35277 - 3.03890i) q^{73} +1.00173 q^{74} +(3.10496 + 3.91909i) q^{75} +2.27431 q^{76} +(17.6025 - 5.71941i) q^{77} +(0.363900 + 0.500865i) q^{78} +(5.27525 - 3.83269i) q^{79} +(0.646508 - 2.14057i) q^{80} +(-0.809017 - 0.587785i) q^{81} +6.29687i q^{82} +(-1.56335 + 2.15177i) q^{83} +(1.08838 - 3.34968i) q^{84} +(4.39770 - 6.32612i) q^{85} +(-0.467392 - 1.43848i) q^{86} +(-2.55039 - 0.828671i) q^{87} +(-4.99779 - 1.62388i) q^{88} +(4.13649 + 12.7308i) q^{89} +(-0.0466062 - 2.23558i) q^{90} +(-0.673818 + 2.07380i) q^{91} +(-5.26291 + 7.24378i) q^{92} -9.76875i q^{93} +(8.63710 + 6.27522i) q^{94} +(4.17567 + 2.90278i) q^{95} +(-0.809017 + 0.587785i) q^{96} +(-2.56983 - 3.53706i) q^{97} +(5.14040 - 1.67022i) q^{98} -5.25498 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 4q^{4} + 4q^{5} - 4q^{6} + 4q^{9} + O(q^{10}) \) \( 16q + 4q^{4} + 4q^{5} - 4q^{6} + 4q^{9} + 2q^{10} + 2q^{11} + 20q^{13} + 2q^{14} - 2q^{15} - 4q^{16} - 30q^{17} - 4q^{20} - 2q^{21} - 20q^{22} - 10q^{23} - 16q^{24} + 24q^{25} + 4q^{26} - 10q^{29} - 6q^{30} - 18q^{31} - 20q^{33} + 12q^{34} - 34q^{35} - 4q^{36} + 20q^{37} + 10q^{38} - 4q^{39} - 2q^{40} + 22q^{41} + 8q^{44} - 4q^{45} - 6q^{46} - 50q^{47} - 52q^{49} + 12q^{50} + 28q^{51} + 20q^{52} + 30q^{53} + 4q^{54} + 18q^{55} - 2q^{56} - 30q^{58} + 20q^{59} + 2q^{60} + 12q^{61} + 50q^{62} + 10q^{63} + 4q^{64} - 8q^{65} + 2q^{66} - 50q^{67} + 6q^{69} - 12q^{70} - 28q^{71} + 20q^{73} + 12q^{74} + 28q^{75} + 20q^{76} + 100q^{77} - 20q^{79} + 4q^{80} - 4q^{81} - 30q^{83} + 2q^{84} - 4q^{85} - 6q^{86} + 10q^{87} + 70q^{89} + 8q^{90} + 12q^{91} - 30q^{92} + 2q^{94} - 30q^{95} - 4q^{96} - 10q^{97} + 60q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{10}\right)\)

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
\(3\) 0.587785 + 0.809017i 0.339358 + 0.467086i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 2.23558 0.0466062i 0.999783 0.0208429i
\(6\) −0.809017 0.587785i −0.330280 0.239962i
\(7\) 3.52206i 1.33122i −0.746302 0.665608i \(-0.768172\pi\)
0.746302 0.665608i \(-0.231828\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −0.309017 + 0.951057i −0.103006 + 0.317019i
\(10\) −2.11176 + 0.735158i −0.667798 + 0.232477i
\(11\) 1.62388 + 4.99779i 0.489618 + 1.50689i 0.825179 + 0.564871i \(0.191074\pi\)
−0.335561 + 0.942018i \(0.608926\pi\)
\(12\) 0.951057 + 0.309017i 0.274546 + 0.0892055i
\(13\) −0.588802 0.191313i −0.163304 0.0530608i 0.226224 0.974075i \(-0.427362\pi\)
−0.389528 + 0.921015i \(0.627362\pi\)
\(14\) 1.08838 + 3.34968i 0.290881 + 0.895240i
\(15\) 1.35175 + 1.78123i 0.349020 + 0.459912i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 2.02525 2.78752i 0.491196 0.676073i −0.489412 0.872053i \(-0.662789\pi\)
0.980608 + 0.195979i \(0.0627886\pi\)
\(18\) 1.00000i 0.235702i
\(19\) 1.83995 + 1.33680i 0.422114 + 0.306684i 0.778488 0.627660i \(-0.215987\pi\)
−0.356374 + 0.934343i \(0.615987\pi\)
\(20\) 1.78123 1.35175i 0.398295 0.302260i
\(21\) 2.84941 2.07022i 0.621792 0.451759i
\(22\) −3.08880 4.25137i −0.658535 0.906395i
\(23\) −8.51557 + 2.76688i −1.77562 + 0.576934i −0.998618 0.0525639i \(-0.983261\pi\)
−0.777002 + 0.629498i \(0.783261\pi\)
\(24\) −1.00000 −0.204124
\(25\) 4.99566 0.208384i 0.999131 0.0416768i
\(26\) 0.619103 0.121416
\(27\) −0.951057 + 0.309017i −0.183031 + 0.0594703i
\(28\) −2.07022 2.84941i −0.391234 0.538488i
\(29\) −2.16949 + 1.57623i −0.402864 + 0.292698i −0.770706 0.637190i \(-0.780096\pi\)
0.367843 + 0.929888i \(0.380096\pi\)
\(30\) −1.83602 1.27634i −0.335210 0.233026i
\(31\) −7.90309 5.74193i −1.41944 1.03128i −0.991864 0.127300i \(-0.959369\pi\)
−0.427572 0.903981i \(-0.640631\pi\)
\(32\) 1.00000i 0.176777i
\(33\) −3.08880 + 4.25137i −0.537691 + 0.740069i
\(34\) −1.06474 + 3.27693i −0.182601 + 0.561989i
\(35\) −0.164150 7.87386i −0.0277464 1.33093i
\(36\) 0.309017 + 0.951057i 0.0515028 + 0.158509i
\(37\) −0.952702 0.309552i −0.156623 0.0508900i 0.229656 0.973272i \(-0.426240\pi\)
−0.386279 + 0.922382i \(0.626240\pi\)
\(38\) −2.16299 0.702799i −0.350884 0.114009i
\(39\) −0.191313 0.588802i −0.0306347 0.0942838i
\(40\) −1.27634 + 1.83602i −0.201807 + 0.290300i
\(41\) 1.94584 5.98868i 0.303889 0.935274i −0.676200 0.736718i \(-0.736375\pi\)
0.980089 0.198557i \(-0.0636254\pi\)
\(42\) −2.07022 + 2.84941i −0.319442 + 0.439674i
\(43\) 1.51251i 0.230656i 0.993327 + 0.115328i \(0.0367919\pi\)
−0.993327 + 0.115328i \(0.963208\pi\)
\(44\) 4.25137 + 3.08880i 0.640918 + 0.465654i
\(45\) −0.646508 + 2.14057i −0.0963757 + 0.319097i
\(46\) 7.24378 5.26291i 1.06804 0.775974i
\(47\) −6.27522 8.63710i −0.915335 1.25985i −0.965312 0.261100i \(-0.915915\pi\)
0.0499772 0.998750i \(-0.484085\pi\)
\(48\) 0.951057 0.309017i 0.137273 0.0446028i
\(49\) −5.40494 −0.772134
\(50\) −4.68676 + 1.74193i −0.662808 + 0.246346i
\(51\) 3.44557 0.482476
\(52\) −0.588802 + 0.191313i −0.0816522 + 0.0265304i
\(53\) 0.325260 + 0.447681i 0.0446778 + 0.0614938i 0.830771 0.556614i \(-0.187900\pi\)
−0.786094 + 0.618107i \(0.787900\pi\)
\(54\) 0.809017 0.587785i 0.110093 0.0799874i
\(55\) 3.86324 + 11.0973i 0.520920 + 1.49636i
\(56\) 2.84941 + 2.07022i 0.380768 + 0.276644i
\(57\) 2.27431i 0.301239i
\(58\) 1.57623 2.16949i 0.206968 0.284868i
\(59\) −0.0861451 + 0.265127i −0.0112151 + 0.0345166i −0.956507 0.291708i \(-0.905777\pi\)
0.945292 + 0.326224i \(0.105777\pi\)
\(60\) 2.14057 + 0.646508i 0.276346 + 0.0834638i
\(61\) 1.13786 + 3.50196i 0.145688 + 0.448380i 0.997099 0.0761185i \(-0.0242527\pi\)
−0.851411 + 0.524499i \(0.824253\pi\)
\(62\) 9.29064 + 3.01871i 1.17991 + 0.383377i
\(63\) 3.34968 + 1.08838i 0.422020 + 0.137123i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −1.32523 0.400255i −0.164375 0.0496455i
\(66\) 1.62388 4.99779i 0.199886 0.615185i
\(67\) −7.00176 + 9.63710i −0.855401 + 1.17736i 0.127245 + 0.991871i \(0.459386\pi\)
−0.982647 + 0.185487i \(0.940614\pi\)
\(68\) 3.44557i 0.417836i
\(69\) −7.24378 5.26291i −0.872049 0.633580i
\(70\) 2.58927 + 7.43777i 0.309477 + 0.888983i
\(71\) −3.84168 + 2.79115i −0.455924 + 0.331248i −0.791930 0.610612i \(-0.790924\pi\)
0.336006 + 0.941860i \(0.390924\pi\)
\(72\) −0.587785 0.809017i −0.0692712 0.0953436i
\(73\) 9.35277 3.03890i 1.09466 0.355676i 0.294614 0.955616i \(-0.404809\pi\)
0.800045 + 0.599940i \(0.204809\pi\)
\(74\) 1.00173 0.116449
\(75\) 3.10496 + 3.91909i 0.358530 + 0.452537i
\(76\) 2.27431 0.260881
\(77\) 17.6025 5.71941i 2.00599 0.651787i
\(78\) 0.363900 + 0.500865i 0.0412035 + 0.0567118i
\(79\) 5.27525 3.83269i 0.593512 0.431212i −0.250058 0.968231i \(-0.580450\pi\)
0.843570 + 0.537019i \(0.180450\pi\)
\(80\) 0.646508 2.14057i 0.0722818 0.239323i
\(81\) −0.809017 0.587785i −0.0898908 0.0653095i
\(82\) 6.29687i 0.695373i
\(83\) −1.56335 + 2.15177i −0.171600 + 0.236187i −0.886151 0.463396i \(-0.846631\pi\)
0.714551 + 0.699583i \(0.246631\pi\)
\(84\) 1.08838 3.34968i 0.118752 0.365480i
\(85\) 4.39770 6.32612i 0.476998 0.686164i
\(86\) −0.467392 1.43848i −0.0504002 0.155116i
\(87\) −2.55039 0.828671i −0.273430 0.0888428i
\(88\) −4.99779 1.62388i −0.532766 0.173106i
\(89\) 4.13649 + 12.7308i 0.438467 + 1.34946i 0.889491 + 0.456952i \(0.151059\pi\)
−0.451024 + 0.892512i \(0.648941\pi\)
\(90\) −0.0466062 2.23558i −0.00491272 0.235651i
\(91\) −0.673818 + 2.07380i −0.0706353 + 0.217393i
\(92\) −5.26291 + 7.24378i −0.548697 + 0.755216i
\(93\) 9.76875i 1.01297i
\(94\) 8.63710 + 6.27522i 0.890848 + 0.647239i
\(95\) 4.17567 + 2.90278i 0.428414 + 0.297819i
\(96\) −0.809017 + 0.587785i −0.0825700 + 0.0599906i
\(97\) −2.56983 3.53706i −0.260926 0.359134i 0.658374 0.752691i \(-0.271244\pi\)
−0.919300 + 0.393557i \(0.871244\pi\)
\(98\) 5.14040 1.67022i 0.519259 0.168717i
\(99\) −5.25498 −0.528146
\(100\) 3.91909 3.10496i 0.391909 0.310496i
\(101\) −14.2687 −1.41979 −0.709893 0.704309i \(-0.751257\pi\)
−0.709893 + 0.704309i \(0.751257\pi\)
\(102\) −3.27693 + 1.06474i −0.324464 + 0.105425i
\(103\) 10.3852 + 14.2939i 1.02328 + 1.40842i 0.909879 + 0.414875i \(0.136175\pi\)
0.113401 + 0.993549i \(0.463825\pi\)
\(104\) 0.500865 0.363900i 0.0491138 0.0356833i
\(105\) 6.27361 4.76094i 0.612241 0.464620i
\(106\) −0.447681 0.325260i −0.0434827 0.0315920i
\(107\) 0.723713i 0.0699640i 0.999388 + 0.0349820i \(0.0111374\pi\)
−0.999388 + 0.0349820i \(0.988863\pi\)
\(108\) −0.587785 + 0.809017i −0.0565597 + 0.0778477i
\(109\) 0.795198 2.44737i 0.0761661 0.234415i −0.905724 0.423869i \(-0.860672\pi\)
0.981890 + 0.189454i \(0.0606717\pi\)
\(110\) −7.10341 9.36033i −0.677284 0.892473i
\(111\) −0.309552 0.952702i −0.0293813 0.0904264i
\(112\) −3.34968 1.08838i −0.316515 0.102842i
\(113\) −14.4448 4.69339i −1.35885 0.441517i −0.463191 0.886258i \(-0.653296\pi\)
−0.895659 + 0.444741i \(0.853296\pi\)
\(114\) −0.702799 2.16299i −0.0658232 0.202583i
\(115\) −18.9083 + 6.58246i −1.76321 + 0.613818i
\(116\) −0.828671 + 2.55039i −0.0769401 + 0.236797i
\(117\) 0.363900 0.500865i 0.0336425 0.0463050i
\(118\) 0.278771i 0.0256630i
\(119\) −9.81783 7.13307i −0.899999 0.653888i
\(120\) −2.23558 + 0.0466062i −0.204080 + 0.00425454i
\(121\) −13.4417 + 9.76597i −1.22197 + 0.887815i
\(122\) −2.16433 2.97895i −0.195949 0.269701i
\(123\) 5.98868 1.94584i 0.539981 0.175450i
\(124\) −9.76875 −0.877260
\(125\) 11.1585 0.698687i 0.998045 0.0624925i
\(126\) −3.52206 −0.313770
\(127\) 4.15027 1.34850i 0.368277 0.119660i −0.119031 0.992891i \(-0.537979\pi\)
0.487308 + 0.873230i \(0.337979\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) −1.22365 + 0.889032i −0.107736 + 0.0782749i
\(130\) 1.38406 0.0288540i 0.121390 0.00253066i
\(131\) 0.499797 + 0.363124i 0.0436675 + 0.0317263i 0.609405 0.792859i \(-0.291408\pi\)
−0.565737 + 0.824585i \(0.691408\pi\)
\(132\) 5.25498i 0.457388i
\(133\) 4.70831 6.48043i 0.408262 0.561925i
\(134\) 3.68104 11.3291i 0.317994 0.978684i
\(135\) −2.11176 + 0.735158i −0.181752 + 0.0632723i
\(136\) 1.06474 + 3.27693i 0.0913006 + 0.280994i
\(137\) 8.81784 + 2.86509i 0.753359 + 0.244781i 0.660426 0.750891i \(-0.270376\pi\)
0.0929329 + 0.995672i \(0.470376\pi\)
\(138\) 8.51557 + 2.76688i 0.724894 + 0.235532i
\(139\) −5.79774 17.8436i −0.491757 1.51347i −0.821950 0.569560i \(-0.807114\pi\)
0.330192 0.943914i \(-0.392886\pi\)
\(140\) −4.76094 6.27361i −0.402373 0.530216i
\(141\) 3.29908 10.1535i 0.277832 0.855080i
\(142\) 2.79115 3.84168i 0.234228 0.322387i
\(143\) 3.25338i 0.272061i
\(144\) 0.809017 + 0.587785i 0.0674181 + 0.0489821i
\(145\) −4.77661 + 3.62489i −0.396676 + 0.301031i
\(146\) −7.95594 + 5.78033i −0.658438 + 0.478383i
\(147\) −3.17694 4.37269i −0.262030 0.360653i
\(148\) −0.952702 + 0.309552i −0.0783116 + 0.0254450i
\(149\) 16.8396 1.37955 0.689777 0.724022i \(-0.257709\pi\)
0.689777 + 0.724022i \(0.257709\pi\)
\(150\) −4.16406 2.76779i −0.339994 0.225989i
\(151\) 16.7932 1.36661 0.683305 0.730133i \(-0.260542\pi\)
0.683305 + 0.730133i \(0.260542\pi\)
\(152\) −2.16299 + 0.702799i −0.175442 + 0.0570045i
\(153\) 2.02525 + 2.78752i 0.163732 + 0.225358i
\(154\) −14.9736 + 10.8790i −1.20661 + 0.876652i
\(155\) −17.9356 12.4682i −1.44062 1.00147i
\(156\) −0.500865 0.363900i −0.0401013 0.0291353i
\(157\) 4.55451i 0.363489i 0.983346 + 0.181745i \(0.0581744\pi\)
−0.983346 + 0.181745i \(0.941826\pi\)
\(158\) −3.83269 + 5.27525i −0.304913 + 0.419676i
\(159\) −0.170999 + 0.526281i −0.0135611 + 0.0417368i
\(160\) 0.0466062 + 2.23558i 0.00368454 + 0.176738i
\(161\) 9.74512 + 29.9924i 0.768023 + 2.36373i
\(162\) 0.951057 + 0.309017i 0.0747221 + 0.0242787i
\(163\) 19.2239 + 6.24624i 1.50574 + 0.489243i 0.941685 0.336497i \(-0.109242\pi\)
0.564051 + 0.825740i \(0.309242\pi\)
\(164\) −1.94584 5.98868i −0.151945 0.467637i
\(165\) −6.70713 + 9.64825i −0.522149 + 0.751115i
\(166\) 0.821902 2.52955i 0.0637920 0.196331i
\(167\) −4.22725 + 5.81831i −0.327114 + 0.450234i −0.940623 0.339454i \(-0.889758\pi\)
0.613508 + 0.789688i \(0.289758\pi\)
\(168\) 3.52206i 0.271733i
\(169\) −10.2071 7.41592i −0.785164 0.570455i
\(170\) −2.22759 + 7.37547i −0.170848 + 0.565672i
\(171\) −1.83995 + 1.33680i −0.140705 + 0.102228i
\(172\) 0.889032 + 1.22365i 0.0677881 + 0.0933023i
\(173\) 5.83145 1.89475i 0.443357 0.144055i −0.0788271 0.996888i \(-0.525117\pi\)
0.522184 + 0.852833i \(0.325117\pi\)
\(174\) 2.68163 0.203294
\(175\) −0.733941 17.5950i −0.0554807 1.33006i
\(176\) 5.25498 0.396109
\(177\) −0.265127 + 0.0861451i −0.0199282 + 0.00647506i
\(178\) −7.86808 10.8295i −0.589737 0.811704i
\(179\) 11.5930 8.42280i 0.866501 0.629549i −0.0631451 0.998004i \(-0.520113\pi\)
0.929646 + 0.368455i \(0.120113\pi\)
\(180\) 0.735158 + 2.11176i 0.0547954 + 0.157402i
\(181\) −12.7254 9.24554i −0.945871 0.687215i 0.00395575 0.999992i \(-0.498741\pi\)
−0.949827 + 0.312777i \(0.898741\pi\)
\(182\) 2.18052i 0.161631i
\(183\) −2.16433 + 2.97895i −0.159992 + 0.220210i
\(184\) 2.76688 8.51557i 0.203977 0.627776i
\(185\) −2.14427 0.647626i −0.157650 0.0476144i
\(186\) 3.01871 + 9.29064i 0.221343 + 0.681223i
\(187\) 17.2202 + 5.59518i 1.25927 + 0.409160i
\(188\) −10.1535 3.29908i −0.740521 0.240610i
\(189\) 1.08838 + 3.34968i 0.0791678 + 0.243654i
\(190\) −4.86830 1.47036i −0.353184 0.106671i
\(191\) −1.11938 + 3.44511i −0.0809958 + 0.249279i −0.983352 0.181712i \(-0.941836\pi\)
0.902356 + 0.430992i \(0.141836\pi\)
\(192\) 0.587785 0.809017i 0.0424197 0.0583858i
\(193\) 9.72486i 0.700010i 0.936748 + 0.350005i \(0.113820\pi\)
−0.936748 + 0.350005i \(0.886180\pi\)
\(194\) 3.53706 + 2.56983i 0.253946 + 0.184503i
\(195\) −0.455139 1.30740i −0.0325932 0.0936248i
\(196\) −4.37269 + 3.17694i −0.312335 + 0.226925i
\(197\) 4.15786 + 5.72280i 0.296235 + 0.407732i 0.931027 0.364951i \(-0.118914\pi\)
−0.634792 + 0.772683i \(0.718914\pi\)
\(198\) 4.99779 1.62388i 0.355177 0.115404i
\(199\) 17.6745 1.25291 0.626455 0.779457i \(-0.284505\pi\)
0.626455 + 0.779457i \(0.284505\pi\)
\(200\) −2.76779 + 4.16406i −0.195712 + 0.294443i
\(201\) −11.9121 −0.840215
\(202\) 13.5703 4.40926i 0.954804 0.310235i
\(203\) 5.55157 + 7.64108i 0.389644 + 0.536298i
\(204\) 2.78752 2.02525i 0.195166 0.141796i
\(205\) 4.07098 13.4789i 0.284329 0.941405i
\(206\) −14.2939 10.3852i −0.995906 0.723568i
\(207\) 8.95380i 0.622332i
\(208\) −0.363900 + 0.500865i −0.0252319 + 0.0347287i
\(209\) −3.69320 + 11.3665i −0.255464 + 0.786237i
\(210\) −4.49534 + 6.46658i −0.310208 + 0.446236i
\(211\) −3.63522 11.1881i −0.250259 0.770218i −0.994727 0.102559i \(-0.967297\pi\)
0.744468 0.667658i \(-0.232703\pi\)
\(212\) 0.526281 + 0.170999i 0.0361451 + 0.0117443i
\(213\) −4.51617 1.46739i −0.309443 0.100544i
\(214\) −0.223640 0.688292i −0.0152877 0.0470507i
\(215\) 0.0704924 + 3.38135i 0.00480754 + 0.230606i
\(216\) 0.309017 0.951057i 0.0210259 0.0647112i
\(217\) −20.2234 + 27.8352i −1.37286 + 1.88958i
\(218\) 2.57331i 0.174287i
\(219\) 7.95594 + 5.78033i 0.537613 + 0.390598i
\(220\) 9.64825 + 6.70713i 0.650485 + 0.452195i
\(221\) −1.72576 + 1.25384i −0.116087 + 0.0843424i
\(222\) 0.588802 + 0.810416i 0.0395178 + 0.0543916i
\(223\) −12.0789 + 3.92466i −0.808860 + 0.262815i −0.684115 0.729374i \(-0.739811\pi\)
−0.124745 + 0.992189i \(0.539811\pi\)
\(224\) 3.52206 0.235328
\(225\) −1.34556 + 4.81555i −0.0897038 + 0.321036i
\(226\) 15.1881 1.01030
\(227\) 13.5679 4.40848i 0.900533 0.292601i 0.178076 0.984017i \(-0.443013\pi\)
0.722457 + 0.691416i \(0.243013\pi\)
\(228\) 1.33680 + 1.83995i 0.0885320 + 0.121854i
\(229\) 7.12184 5.17432i 0.470625 0.341929i −0.327060 0.945004i \(-0.606058\pi\)
0.797685 + 0.603075i \(0.206058\pi\)
\(230\) 15.9488 12.1033i 1.05163 0.798067i
\(231\) 14.9736 + 10.8790i 0.985191 + 0.715783i
\(232\) 2.68163i 0.176058i
\(233\) 8.86158 12.1969i 0.580542 0.799047i −0.413213 0.910634i \(-0.635594\pi\)
0.993755 + 0.111587i \(0.0355935\pi\)
\(234\) −0.191313 + 0.588802i −0.0125065 + 0.0384912i
\(235\) −14.4313 19.0165i −0.941395 1.24050i
\(236\) 0.0861451 + 0.265127i 0.00560757 + 0.0172583i
\(237\) 6.20143 + 2.01497i 0.402826 + 0.130886i
\(238\) 11.5416 + 3.75008i 0.748128 + 0.243081i
\(239\) 1.93007 + 5.94013i 0.124846 + 0.384235i 0.993873 0.110529i \(-0.0352545\pi\)
−0.869027 + 0.494764i \(0.835254\pi\)
\(240\) 2.11176 0.735158i 0.136314 0.0474542i
\(241\) −4.57636 + 14.0846i −0.294790 + 0.907269i 0.688503 + 0.725234i \(0.258268\pi\)
−0.983292 + 0.182035i \(0.941732\pi\)
\(242\) 9.76597 13.4417i 0.627780 0.864065i
\(243\) 1.00000i 0.0641500i
\(244\) 2.97895 + 2.16433i 0.190708 + 0.138557i
\(245\) −12.0832 + 0.251903i −0.771966 + 0.0160935i
\(246\) −5.09427 + 3.70121i −0.324799 + 0.235980i
\(247\) −0.827619 1.13912i −0.0526601 0.0724805i
\(248\) 9.29064 3.01871i 0.589956 0.191688i
\(249\) −2.65973 −0.168554
\(250\) −10.3964 + 4.11265i −0.657529 + 0.260107i
\(251\) 18.2744 1.15347 0.576735 0.816931i \(-0.304327\pi\)
0.576735 + 0.816931i \(0.304327\pi\)
\(252\) 3.34968 1.08838i 0.211010 0.0685614i
\(253\) −27.6565 38.0659i −1.73875 2.39319i
\(254\) −3.53043 + 2.56501i −0.221519 + 0.160943i
\(255\) 7.70285 0.160585i 0.482371 0.0100562i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 1.80149i 0.112374i −0.998420 0.0561868i \(-0.982106\pi\)
0.998420 0.0561868i \(-0.0178942\pi\)
\(258\) 0.889032 1.22365i 0.0553487 0.0761810i
\(259\) −1.09026 + 3.35548i −0.0677455 + 0.208499i
\(260\) −1.30740 + 0.455139i −0.0810814 + 0.0282265i
\(261\) −0.828671 2.55039i −0.0512934 0.157865i
\(262\) −0.587547 0.190905i −0.0362987 0.0117942i
\(263\) −13.5087 4.38923i −0.832981 0.270652i −0.138680 0.990337i \(-0.544286\pi\)
−0.694300 + 0.719685i \(0.744286\pi\)
\(264\) −1.62388 4.99779i −0.0999429 0.307593i
\(265\) 0.748009 + 0.985670i 0.0459498 + 0.0605492i
\(266\) −2.47530 + 7.61820i −0.151771 + 0.467102i
\(267\) −7.86808 + 10.8295i −0.481518 + 0.662753i
\(268\) 11.9121i 0.727648i
\(269\) −5.05075 3.66959i −0.307950 0.223739i 0.423066 0.906099i \(-0.360954\pi\)
−0.731016 + 0.682360i \(0.760954\pi\)
\(270\) 1.78123 1.35175i 0.108402 0.0822647i
\(271\) 19.2926 14.0169i 1.17194 0.851464i 0.180700 0.983538i \(-0.442164\pi\)
0.991240 + 0.132074i \(0.0421637\pi\)
\(272\) −2.02525 2.78752i −0.122799 0.169018i
\(273\) −2.07380 + 0.673818i −0.125512 + 0.0407813i
\(274\) −9.27162 −0.560119
\(275\) 9.15380 + 24.6288i 0.551995 + 1.48517i
\(276\) −8.95380 −0.538956
\(277\) 6.63226 2.15495i 0.398494 0.129478i −0.102913 0.994690i \(-0.532816\pi\)
0.501406 + 0.865212i \(0.332816\pi\)
\(278\) 11.0279 + 15.1787i 0.661412 + 0.910356i
\(279\) 7.90309 5.74193i 0.473146 0.343760i
\(280\) 6.46658 + 4.49534i 0.386452 + 0.268648i
\(281\) −9.41192 6.83816i −0.561468 0.407931i 0.270528 0.962712i \(-0.412802\pi\)
−0.831996 + 0.554782i \(0.812802\pi\)
\(282\) 10.6760i 0.635749i
\(283\) −5.64568 + 7.77061i −0.335601 + 0.461915i −0.943150 0.332367i \(-0.892153\pi\)
0.607549 + 0.794282i \(0.292153\pi\)
\(284\) −1.46739 + 4.51617i −0.0870737 + 0.267985i
\(285\) 0.105997 + 5.08440i 0.00627870 + 0.301174i
\(286\) 1.00535 + 3.09415i 0.0594475 + 0.182961i
\(287\) −21.0925 6.85337i −1.24505 0.404542i
\(288\) −0.951057 0.309017i −0.0560415 0.0182090i
\(289\) 1.58466 + 4.87709i 0.0932154 + 0.286888i
\(290\) 3.42267 4.92353i 0.200986 0.289120i
\(291\) 1.35104 4.15806i 0.0791992 0.243750i
\(292\) 5.78033 7.95594i 0.338268 0.465586i
\(293\) 8.52716i 0.498162i 0.968483 + 0.249081i \(0.0801286\pi\)
−0.968483 + 0.249081i \(0.919871\pi\)
\(294\) 4.37269 + 3.17694i 0.255020 + 0.185283i
\(295\) −0.180228 + 0.596729i −0.0104933 + 0.0347429i
\(296\) 0.810416 0.588802i 0.0471045 0.0342234i
\(297\) −3.08880 4.25137i −0.179230 0.246690i
\(298\) −16.0154 + 5.20372i −0.927748 + 0.301444i
\(299\) 5.54333 0.320579
\(300\) 4.81555 + 1.34556i 0.278026 + 0.0776858i
\(301\) 5.32717 0.307053
\(302\) −15.9713 + 5.18938i −0.919043 + 0.298615i
\(303\) −8.38692 11.5436i −0.481816 0.663163i
\(304\) 1.83995 1.33680i 0.105528 0.0766709i
\(305\) 2.70698 + 7.77589i 0.155001 + 0.445246i
\(306\) −2.78752 2.02525i −0.159352 0.115776i
\(307\) 2.85794i 0.163111i −0.996669 0.0815557i \(-0.974011\pi\)
0.996669 0.0815557i \(-0.0259889\pi\)
\(308\) 10.8790 14.9736i 0.619886 0.853200i
\(309\) −5.45980 + 16.8035i −0.310597 + 0.955920i
\(310\) 20.9107 + 6.31558i 1.18765 + 0.358701i
\(311\) −3.14017 9.66444i −0.178063 0.548020i 0.821697 0.569924i \(-0.193027\pi\)
−0.999760 + 0.0219035i \(0.993027\pi\)
\(312\) 0.588802 + 0.191313i 0.0333344 + 0.0108310i
\(313\) 17.3127 + 5.62523i 0.978570 + 0.317957i 0.754271 0.656564i \(-0.227991\pi\)
0.224299 + 0.974520i \(0.427991\pi\)
\(314\) −1.40742 4.33159i −0.0794253 0.244446i
\(315\) 7.53922 + 2.27704i 0.424787 + 0.128297i
\(316\) 2.01497 6.20143i 0.113351 0.348857i
\(317\) −18.3838 + 25.3031i −1.03254 + 1.42116i −0.129510 + 0.991578i \(0.541340\pi\)
−0.903026 + 0.429586i \(0.858660\pi\)
\(318\) 0.553365i 0.0310312i
\(319\) −11.4006 8.28304i −0.638312 0.463761i
\(320\) −0.735158 2.11176i −0.0410966 0.118051i
\(321\) −0.585496 + 0.425388i −0.0326792 + 0.0237428i
\(322\) −18.5363 25.5131i −1.03299 1.42179i
\(323\) 7.45274 2.42154i 0.414681 0.134738i
\(324\) −1.00000 −0.0555556
\(325\) −2.98132 0.833039i −0.165374 0.0462087i
\(326\) −20.2133 −1.11951
\(327\) 2.44737 0.795198i 0.135340 0.0439745i
\(328\) 3.70121 + 5.09427i 0.204365 + 0.281284i
\(329\) −30.4204 + 22.1017i −1.67713 + 1.21851i
\(330\) 3.39739 11.2486i 0.187020 0.619218i
\(331\) −2.77650 2.01724i −0.152610 0.110878i 0.508860 0.860849i \(-0.330067\pi\)
−0.661470 + 0.749972i \(0.730067\pi\)
\(332\) 2.65973i 0.145972i
\(333\) 0.588802 0.810416i 0.0322662 0.0444106i
\(334\) 2.22240 6.83983i 0.121604 0.374259i
\(335\) −15.2039 + 21.8708i −0.830676 + 1.19493i
\(336\) −1.08838 3.34968i −0.0593759 0.182740i
\(337\) −11.1497 3.62277i −0.607365 0.197345i −0.0108427 0.999941i \(-0.503451\pi\)
−0.596523 + 0.802596i \(0.703451\pi\)
\(338\) 11.9992 + 3.89878i 0.652671 + 0.212066i
\(339\) −4.69339 14.4448i −0.254910 0.784533i
\(340\) −0.160585 7.70285i −0.00870892 0.417746i
\(341\) 15.8633 48.8221i 0.859045 2.64387i
\(342\) 1.33680 1.83995i 0.0722861 0.0994932i
\(343\) 5.61791i 0.303339i
\(344\) −1.22365 0.889032i −0.0659747 0.0479334i
\(345\) −16.4393 11.4281i −0.885065 0.615267i
\(346\) −4.96053 + 3.60403i −0.266680 + 0.193754i
\(347\) −19.0502 26.2204i −1.02267 1.40758i −0.910315 0.413916i \(-0.864161\pi\)
−0.112355 0.993668i \(-0.535839\pi\)
\(348\) −2.55039 + 0.828671i −0.136715 + 0.0444214i
\(349\) 11.3708 0.608665 0.304333 0.952566i \(-0.401567\pi\)
0.304333 + 0.952566i \(0.401567\pi\)
\(350\) 6.13518 + 16.5071i 0.327939 + 0.882339i
\(351\) 0.619103 0.0330453
\(352\) −4.99779 + 1.62388i −0.266383 + 0.0865531i
\(353\) 1.22685 + 1.68861i 0.0652984 + 0.0898756i 0.840417 0.541940i \(-0.182310\pi\)
−0.775119 + 0.631816i \(0.782310\pi\)
\(354\) 0.225531 0.163858i 0.0119868 0.00870894i
\(355\) −8.45831 + 6.41888i −0.448921 + 0.340679i
\(356\) 10.8295 + 7.86808i 0.573961 + 0.417007i
\(357\) 12.1355i 0.642279i
\(358\) −8.42280 + 11.5930i −0.445159 + 0.612708i
\(359\) −2.10507 + 6.47874i −0.111101 + 0.341935i −0.991114 0.133015i \(-0.957534\pi\)
0.880013 + 0.474950i \(0.157534\pi\)
\(360\) −1.35175 1.78123i −0.0712433 0.0938790i
\(361\) −4.27294 13.1508i −0.224892 0.692146i
\(362\) 14.9596 + 4.86067i 0.786259 + 0.255471i
\(363\) −15.8017 5.13427i −0.829372 0.269479i
\(364\) 0.673818 + 2.07380i 0.0353177 + 0.108697i
\(365\) 20.7673 7.22961i 1.08701 0.378415i
\(366\) 1.13786 3.50196i 0.0594767 0.183050i
\(367\) −0.0913045 + 0.125670i −0.00476606 + 0.00655991i −0.811393 0.584500i \(-0.801291\pi\)
0.806627 + 0.591060i \(0.201291\pi\)
\(368\) 8.95380i 0.466749i
\(369\) 5.09427 + 3.70121i 0.265197 + 0.192677i
\(370\) 2.23945 0.0466868i 0.116423 0.00242713i
\(371\) 1.57676 1.14559i 0.0818615 0.0594758i
\(372\) −5.74193 7.90309i −0.297705 0.409756i
\(373\) −28.2902 + 9.19203i −1.46481 + 0.475945i −0.929535 0.368733i \(-0.879792\pi\)
−0.535274 + 0.844679i \(0.679792\pi\)
\(374\) −18.1064 −0.936259
\(375\) 7.12404 + 8.61673i 0.367884 + 0.444966i
\(376\) 10.6760 0.550575
\(377\) 1.57895 0.513032i 0.0813201 0.0264225i
\(378\) −2.07022 2.84941i −0.106481 0.146558i
\(379\) −13.4962 + 9.80558i −0.693254 + 0.503679i −0.877728 0.479159i \(-0.840942\pi\)
0.184474 + 0.982837i \(0.440942\pi\)
\(380\) 5.08440 0.105997i 0.260824 0.00543751i
\(381\) 3.53043 + 2.56501i 0.180869 + 0.131409i
\(382\) 3.62240i 0.185338i
\(383\) 6.62972 9.12503i 0.338763 0.466267i −0.605317 0.795985i \(-0.706954\pi\)
0.944080 + 0.329718i \(0.106954\pi\)
\(384\) −0.309017 + 0.951057i −0.0157695 + 0.0485334i
\(385\) 39.0853 13.6066i 1.99197 0.693456i
\(386\) −3.00515 9.24889i −0.152958 0.470756i
\(387\) −1.43848 0.467392i −0.0731223 0.0237589i
\(388\) −4.15806 1.35104i −0.211094 0.0685885i
\(389\) −2.05849 6.33537i −0.104369 0.321216i 0.885213 0.465187i \(-0.154013\pi\)
−0.989582 + 0.143971i \(0.954013\pi\)
\(390\) 0.836871 + 1.10276i 0.0423766 + 0.0558407i
\(391\) −9.53346 + 29.3410i −0.482128 + 1.48384i
\(392\) 3.17694 4.37269i 0.160460 0.220854i
\(393\) 0.617783i 0.0311630i
\(394\) −5.72280 4.15786i −0.288310 0.209470i
\(395\) 11.6146 8.81416i 0.584395 0.443488i
\(396\) −4.25137 + 3.08880i −0.213639 + 0.155218i
\(397\) 21.8794 + 30.1144i 1.09810 + 1.51140i 0.837884 + 0.545849i \(0.183793\pi\)
0.260213 + 0.965551i \(0.416207\pi\)
\(398\) −16.8094 + 5.46171i −0.842580 + 0.273771i
\(399\) 8.01025 0.401014
\(400\) 1.34556 4.81555i 0.0672779 0.240777i
\(401\) 19.6891 0.983228 0.491614 0.870813i \(-0.336407\pi\)
0.491614 + 0.870813i \(0.336407\pi\)
\(402\) 11.3291 3.68104i 0.565043 0.183594i
\(403\) 3.55485 + 4.89283i 0.177080 + 0.243729i
\(404\) −11.5436 + 8.38692i −0.574316 + 0.417265i
\(405\) −1.83602 1.27634i −0.0912325 0.0634217i
\(406\) −7.64108 5.55157i −0.379220 0.275520i
\(407\) 5.26407i 0.260930i
\(408\) −2.02525 + 2.78752i −0.100265 + 0.138003i
\(409\) −9.13460 + 28.1134i −0.451677 + 1.39012i 0.423316 + 0.905982i \(0.360866\pi\)
−0.874993 + 0.484136i \(0.839134\pi\)
\(410\) 0.293473 + 14.0772i 0.0144936 + 0.695222i
\(411\) 2.86509 + 8.81784i 0.141324 + 0.434952i
\(412\) 16.8035 + 5.45980i 0.827851 + 0.268985i
\(413\) 0.933796 + 0.303409i 0.0459491 + 0.0149298i
\(414\) 2.76688 + 8.51557i 0.135985 + 0.418518i
\(415\) −3.39471 + 4.88331i −0.166640 + 0.239712i
\(416\) 0.191313 0.588802i 0.00937991 0.0288684i
\(417\) 11.0279 15.1787i 0.540041 0.743303i
\(418\) 11.9514i 0.584564i
\(419\) −0.946768 0.687867i −0.0462526 0.0336045i 0.564419 0.825489i \(-0.309100\pi\)
−0.610671 + 0.791884i \(0.709100\pi\)
\(420\) 2.27704 7.53922i 0.111108 0.367876i
\(421\) −6.73922 + 4.89633i −0.328449 + 0.238632i −0.739772 0.672857i \(-0.765067\pi\)
0.411323 + 0.911490i \(0.365067\pi\)
\(422\) 6.91460 + 9.51713i 0.336597 + 0.463287i
\(423\) 10.1535 3.29908i 0.493681 0.160407i
\(424\) −0.553365 −0.0268738
\(425\) 9.53659 14.3475i 0.462593 0.695957i
\(426\) 4.74858 0.230069
\(427\) 12.3341 4.00760i 0.596891 0.193942i
\(428\) 0.425388 + 0.585496i 0.0205619 + 0.0283010i
\(429\) 2.63204 1.91229i 0.127076 0.0923261i
\(430\) −1.11194 3.19407i −0.0536223 0.154032i
\(431\) 15.1227 + 10.9873i 0.728435 + 0.529239i 0.889068 0.457775i \(-0.151354\pi\)
−0.160633 + 0.987014i \(0.551354\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) 11.1140 15.2972i 0.534107 0.735135i −0.453643 0.891184i \(-0.649876\pi\)
0.987749 + 0.156049i \(0.0498758\pi\)
\(434\) 10.6321 32.7222i 0.510357 1.57072i
\(435\) −5.74022 1.73370i −0.275222 0.0831244i
\(436\) −0.795198 2.44737i −0.0380831 0.117208i
\(437\) −19.3670 6.29273i −0.926450 0.301022i
\(438\) −9.35277 3.03890i −0.446893 0.145204i
\(439\) 12.6264 + 38.8602i 0.602627 + 1.85469i 0.512348 + 0.858778i \(0.328776\pi\)
0.0902783 + 0.995917i \(0.471224\pi\)
\(440\) −11.2486 3.39739i −0.536258 0.161964i
\(441\) 1.67022 5.14040i 0.0795342 0.244781i
\(442\) 1.25384 1.72576i 0.0596391 0.0820862i
\(443\) 5.99083i 0.284633i −0.989821 0.142317i \(-0.954545\pi\)
0.989821 0.142317i \(-0.0454551\pi\)
\(444\) −0.810416 0.588802i −0.0384607 0.0279433i
\(445\) 9.84080 + 28.2680i 0.466499 + 1.34003i
\(446\) 10.2749 7.46514i 0.486530 0.353485i
\(447\) 9.89807 + 13.6235i 0.468163 + 0.644371i
\(448\) −3.34968 + 1.08838i −0.158258 + 0.0514210i
\(449\) −12.4505 −0.587574 −0.293787 0.955871i \(-0.594916\pi\)
−0.293787 + 0.955871i \(0.594916\pi\)
\(450\) −0.208384 4.99566i −0.00982331 0.235497i
\(451\) 33.0899 1.55814
\(452\) −14.4448 + 4.69339i −0.679425 + 0.220759i
\(453\) 9.87079 + 13.5860i 0.463770 + 0.638325i
\(454\) −11.5415 + 8.38543i −0.541672 + 0.393548i
\(455\) −1.40972 + 4.66755i −0.0660889 + 0.218818i
\(456\) −1.83995 1.33680i −0.0861637 0.0626016i
\(457\) 1.11807i 0.0523011i 0.999658 + 0.0261506i \(0.00832493\pi\)
−0.999658 + 0.0261506i \(0.991675\pi\)
\(458\) −5.17432 + 7.12184i −0.241780 + 0.332782i
\(459\) −1.06474 + 3.27693i −0.0496977 + 0.152954i
\(460\) −11.4281 + 16.4393i −0.532837 + 0.766489i
\(461\) −9.29974 28.6216i −0.433132 1.33304i −0.894989 0.446089i \(-0.852817\pi\)
0.461857 0.886954i \(-0.347183\pi\)
\(462\) −17.6025 5.71941i −0.818944 0.266091i
\(463\) 20.0062 + 6.50042i 0.929768 + 0.302100i 0.734468 0.678644i \(-0.237432\pi\)
0.195300 + 0.980743i \(0.437432\pi\)
\(464\) 0.828671 + 2.55039i 0.0384701 + 0.118399i
\(465\) −0.455284 21.8389i −0.0211133 1.01275i
\(466\) −4.65881 + 14.3383i −0.215815 + 0.664211i
\(467\) −2.07849 + 2.86080i −0.0961812 + 0.132382i −0.854395 0.519624i \(-0.826072\pi\)
0.758214 + 0.652006i \(0.226072\pi\)
\(468\) 0.619103i 0.0286181i
\(469\) 33.9425 + 24.6607i 1.56732 + 1.13872i
\(470\) 19.6014 + 13.6262i 0.904145 + 0.628531i
\(471\) −3.68467 + 2.67707i −0.169781 + 0.123353i
\(472\) −0.163858 0.225531i −0.00754216 0.0103809i
\(473\) −7.55921 + 2.45614i −0.347573 + 0.112933i
\(474\) −6.52057 −0.299499
\(475\) 9.47034 + 6.29479i 0.434529 + 0.288825i
\(476\) −12.1355 −0.556230
\(477\) −0.526281 + 0.170999i −0.0240968 + 0.00782951i
\(478\) −3.67120 5.05298i −0.167917 0.231118i
\(479\) 32.7132 23.7675i 1.49470 1.08597i 0.522272 0.852779i \(-0.325085\pi\)
0.972432 0.233187i \(-0.0749153\pi\)
\(480\) −1.78123 + 1.35175i −0.0813016 + 0.0616985i
\(481\) 0.501731 + 0.364529i 0.0228770 + 0.0166211i
\(482\) 14.8094i 0.674551i
\(483\) −18.5363 + 25.5131i −0.843432 + 1.16088i
\(484\) −5.13427 + 15.8017i −0.233376 + 0.718258i
\(485\) −5.90990 7.78762i −0.268355 0.353618i
\(486\) 0.309017 + 0.951057i 0.0140173 + 0.0431408i
\(487\) −25.3973 8.25208i −1.15086 0.373938i −0.329394 0.944193i \(-0.606844\pi\)
−0.821468 + 0.570255i \(0.806844\pi\)
\(488\) −3.50196 1.13786i −0.158526 0.0515083i
\(489\) 6.24624 + 19.2239i 0.282465 + 0.869337i
\(490\) 11.4139 3.97348i 0.515630 0.179504i
\(491\) 10.2314 31.4891i 0.461738 1.42108i −0.401302 0.915946i \(-0.631442\pi\)
0.863040 0.505136i \(-0.168558\pi\)
\(492\) 3.70121 5.09427i 0.166863 0.229668i
\(493\) 9.23975i 0.416137i
\(494\) 1.13912 + 0.827619i 0.0512514 + 0.0372363i
\(495\) −11.7479 + 0.244915i −0.528031 + 0.0110081i
\(496\) −7.90309 + 5.74193i −0.354859 + 0.257820i
\(497\) 9.83059 + 13.5307i 0.440962 + 0.606933i
\(498\) 2.52955 0.821902i 0.113352 0.0368303i
\(499\) −6.01303 −0.269180 −0.134590 0.990901i \(-0.542972\pi\)
−0.134590 + 0.990901i \(0.542972\pi\)
\(500\) 8.61673 7.12404i 0.385352 0.318597i
\(501\) −7.19183 −0.321307
\(502\) −17.3800 + 5.64710i −0.775707 + 0.252042i
\(503\) 3.91890 + 5.39391i 0.174735 + 0.240502i 0.887398 0.461005i \(-0.152511\pi\)
−0.712662 + 0.701507i \(0.752511\pi\)
\(504\) −2.84941 + 2.07022i −0.126923 + 0.0922148i
\(505\) −31.8988 + 0.665008i −1.41948 + 0.0295925i
\(506\) 38.0659 + 27.6565i 1.69224 + 1.22948i
\(507\) 12.6167i 0.560328i
\(508\) 2.56501 3.53043i 0.113804 0.156638i
\(509\) 5.43941 16.7408i 0.241098 0.742022i −0.755156 0.655545i \(-0.772439\pi\)
0.996254 0.0864773i \(-0.0275610\pi\)
\(510\) −7.27622 + 2.53304i −0.322196 + 0.112165i
\(511\) −10.7032 32.9411i −0.473482 1.45723i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −2.16299 0.702799i −0.0954985 0.0310293i
\(514\) 0.556690 + 1.71331i 0.0245545 + 0.0755711i
\(515\) 23.8831 + 31.4713i 1.05241 + 1.38679i
\(516\) −0.467392 + 1.43848i −0.0205758 + 0.0633258i
\(517\) 32.9762 45.3878i 1.45029 1.99615i
\(518\) 3.52816i 0.155018i
\(519\) 4.96053 + 3.60403i 0.217743 + 0.158199i
\(520\) 1.10276 0.836871i 0.0483594 0.0366992i
\(521\) −14.9188 + 10.8391i −0.653605 + 0.474872i −0.864497 0.502638i \(-0.832363\pi\)
0.210892 + 0.977509i \(0.432363\pi\)
\(522\) 1.57623 + 2.16949i 0.0689895 + 0.0949559i
\(523\) −9.81016 + 3.18752i −0.428968 + 0.139380i −0.515540 0.856865i \(-0.672409\pi\)
0.0865719 + 0.996246i \(0.472409\pi\)
\(524\) 0.617783 0.0269880
\(525\) 13.8033 10.9359i 0.602424 0.477280i
\(526\) 14.2039 0.619318
\(527\) −32.0115 + 10.4012i −1.39444 + 0.453082i
\(528\) 3.08880 + 4.25137i 0.134423 + 0.185017i
\(529\) 46.2520 33.6040i 2.01096 1.46105i
\(530\) −1.01599 0.706280i −0.0441317 0.0306788i
\(531\) −0.225531 0.163858i −0.00978720 0.00711082i
\(532\) 8.01025i 0.347288i
\(533\) −2.29143 + 3.15388i −0.0992528 + 0.136610i
\(534\) 4.13649 12.7308i 0.179004 0.550916i
\(535\) 0.0337295 + 1.61792i 0.00145825 + 0.0699488i
\(536\) −3.68104 11.3291i −0.158997 0.489342i
\(537\) 13.6284 + 4.42813i 0.588108 + 0.191088i
\(538\) 5.93752 + 1.92922i 0.255985 + 0.0831744i
\(539\) −8.77697 27.0127i −0.378051 1.16352i
\(540\) −1.27634 + 1.83602i −0.0549248 + 0.0790097i
\(541\) −11.5756 + 35.6262i −0.497676 + 1.53169i 0.315069 + 0.949069i \(0.397972\pi\)
−0.812745 + 0.582620i \(0.802028\pi\)
\(542\) −14.0169 + 19.2926i −0.602076 + 0.828687i
\(543\) 15.7294i 0.675015i
\(544\) 2.78752 + 2.02525i 0.119514 + 0.0868320i
\(545\) 1.66367 5.50835i 0.0712637 0.235952i
\(546\) 1.76408 1.28168i 0.0754956 0.0548508i
\(547\) −6.49261 8.93631i −0.277604 0.382089i 0.647334 0.762206i \(-0.275884\pi\)
−0.924938 + 0.380117i \(0.875884\pi\)
\(548\) 8.81784 2.86509i 0.376679 0.122391i
\(549\) −3.68218 −0.157152
\(550\) −16.3165 20.5947i −0.695738 0.878162i
\(551\) −6.09886 −0.259820
\(552\) 8.51557 2.76688i 0.362447 0.117766i
\(553\) −13.4990 18.5798i −0.574035 0.790092i
\(554\) −5.64173 + 4.09896i −0.239694 + 0.174148i
\(555\) −0.736430 2.11542i −0.0312597 0.0897944i
\(556\) −15.1787 11.0279i −0.643719 0.467689i
\(557\) 29.7087i 1.25880i 0.777082 + 0.629400i \(0.216699\pi\)
−0.777082 + 0.629400i \(0.783301\pi\)
\(558\) −5.74193 + 7.90309i −0.243075 + 0.334564i
\(559\) 0.289364 0.890570i 0.0122388 0.0376671i
\(560\) −7.53922 2.27704i −0.318590 0.0962226i
\(561\) 5.59518 + 17.2202i 0.236229 + 0.727038i
\(562\) 11.0644 + 3.59504i 0.466723 + 0.151647i
\(563\) −17.4332 5.66439i −0.734722 0.238726i −0.0823274 0.996605i \(-0.526235\pi\)
−0.652394 + 0.757880i \(0.726235\pi\)
\(564\) −3.29908 10.1535i −0.138916 0.427540i
\(565\) −32.5112 9.81925i −1.36776 0.413099i
\(566\) 2.96811 9.13490i 0.124759 0.383969i
\(567\) −2.07022 + 2.84941i −0.0869410 + 0.119664i
\(568\) 4.74858i 0.199246i
\(569\) −17.7915 12.9263i −0.745859 0.541898i 0.148681 0.988885i \(-0.452497\pi\)
−0.894541 + 0.446987i \(0.852497\pi\)
\(570\) −1.67197 4.80279i −0.0700313 0.201167i
\(571\) −20.2890 + 14.7408i −0.849069 + 0.616885i −0.924889 0.380237i \(-0.875843\pi\)
0.0758199 + 0.997122i \(0.475843\pi\)
\(572\) −1.91229 2.63204i −0.0799567 0.110051i
\(573\) −3.44511 + 1.11938i −0.143922 + 0.0467629i
\(574\) 22.1780 0.925691
\(575\) −41.9643 + 15.5969i −1.75003 + 0.650435i
\(576\) 1.00000 0.0416667
\(577\) −33.2751 + 10.8117i −1.38526 + 0.450099i −0.904395 0.426695i \(-0.859678\pi\)
−0.480866 + 0.876794i \(0.659678\pi\)
\(578\) −3.01421 4.14870i −0.125374 0.172563i
\(579\) −7.86757 + 5.71613i −0.326965 + 0.237554i
\(580\) −1.73370 + 5.74022i −0.0719879 + 0.238350i
\(581\) 7.57866 + 5.50622i 0.314416 + 0.228437i
\(582\) 4.37205i 0.181227i
\(583\) −1.70923 + 2.35256i −0.0707892 + 0.0974330i
\(584\) −3.03890 + 9.35277i −0.125751 + 0.387020i
\(585\) 0.790184 1.13668i 0.0326701 0.0469961i
\(586\) −2.63504 8.10981i −0.108852 0.335013i
\(587\) 9.87738 + 3.20936i 0.407683 + 0.132464i 0.505677 0.862723i \(-0.331243\pi\)
−0.0979941 + 0.995187i \(0.531243\pi\)
\(588\) −5.14040 1.67022i −0.211987 0.0688786i
\(589\) −6.86547 21.1298i −0.282887 0.870636i
\(590\) −0.0129925 0.623216i −0.000534891 0.0256574i
\(591\) −2.18591 + 6.72755i −0.0899165 + 0.276734i
\(592\) −0.588802 + 0.810416i −0.0241996 + 0.0333079i
\(593\) 0.948200i 0.0389379i 0.999810 + 0.0194690i \(0.00619755\pi\)
−0.999810 + 0.0194690i \(0.993802\pi\)
\(594\) 4.25137 + 3.08880i 0.174436 + 0.126735i
\(595\) −22.2810 15.4890i −0.913433 0.634987i
\(596\) 13.6235 9.89807i 0.558041 0.405441i
\(597\) 10.3888 + 14.2990i 0.425185 + 0.585217i
\(598\) −5.27202 + 1.71298i −0.215589 + 0.0700491i
\(599\) −25.4901 −1.04150 −0.520748 0.853710i \(-0.674347\pi\)
−0.520748 + 0.853710i \(0.674347\pi\)
\(600\) −4.99566 + 0.208384i −0.203947 + 0.00850723i
\(601\) −16.6409 −0.678797 −0.339399 0.940643i \(-0.610224\pi\)
−0.339399 + 0.940643i \(0.610224\pi\)
\(602\) −5.06644 + 1.64618i −0.206492 + 0.0670935i
\(603\) −7.00176 9.63710i −0.285134 0.392453i
\(604\) 13.5860 9.87079i 0.552805 0.401637i
\(605\) −29.5949 + 22.4591i −1.20320 + 0.913092i
\(606\) 11.5436 + 8.38692i 0.468927 + 0.340695i
\(607\) 33.2662i 1.35023i −0.737712 0.675116i \(-0.764094\pi\)
0.737712 0.675116i \(-0.235906\pi\)
\(608\) −1.33680 + 1.83995i −0.0542145 + 0.0746199i
\(609\) −2.91863 + 8.98262i −0.118269 + 0.363994i
\(610\) −4.97738 6.55881i −0.201528 0.265558i
\(611\) 2.04247 + 6.28607i 0.0826295 + 0.254307i
\(612\) 3.27693 + 1.06474i 0.132462 + 0.0430395i
\(613\) −15.4852 5.03144i −0.625440 0.203218i −0.0208859 0.999782i \(-0.506649\pi\)
−0.604554 + 0.796564i \(0.706649\pi\)
\(614\) 0.883153 + 2.71807i 0.0356412 + 0.109692i
\(615\) 13.2975 4.62919i 0.536207 0.186667i
\(616\) −5.71941 + 17.6025i −0.230442 + 0.709226i
\(617\) 28.5243 39.2603i 1.14834 1.58056i 0.401063 0.916050i \(-0.368641\pi\)
0.747280 0.664509i \(-0.231359\pi\)
\(618\) 17.6683i 0.710723i
\(619\) −19.9552 14.4983i −0.802066 0.582735i 0.109454 0.993992i \(-0.465090\pi\)
−0.911519 + 0.411257i \(0.865090\pi\)
\(620\) −21.8389 + 0.455284i −0.877069 + 0.0182847i
\(621\) 7.24378 5.26291i 0.290683 0.211193i
\(622\) 5.97296 + 8.22107i 0.239494 + 0.329635i
\(623\) 44.8388 14.5690i 1.79643 0.583694i
\(624\) −0.619103 −0.0247840
\(625\) 24.9132 2.08203i 0.996526 0.0832811i
\(626\) −18.2036 −0.727563
\(627\) −11.3665 + 3.69320i −0.453934 + 0.147492i
\(628\) 2.67707 + 3.68467i 0.106827 + 0.147034i
\(629\) −2.79234 + 2.02876i −0.111338 + 0.0808918i
\(630\) −7.87386 + 0.164150i −0.313702 + 0.00653989i
\(631\) 9.54099 + 6.93194i 0.379821 + 0.275956i 0.761272 0.648433i \(-0.224575\pi\)
−0.381451 + 0.924389i \(0.624575\pi\)
\(632\) 6.52057i 0.259374i
\(633\) 6.91460 9.51713i 0.274831 0.378272i
\(634\) 9.66493 29.7456i 0.383843 1.18135i
\(635\) 9.21542 3.20812i 0.365703 0.127310i
\(636\) 0.170999 + 0.526281i 0.00678056 + 0.0208684i
\(637\) 3.18244 + 1.03404i 0.126093 + 0.0409700i
\(638\) 13.4022 + 4.35465i 0.530600 + 0.172402i
\(639\) −1.46739 4.51617i −0.0580491 0.178657i
\(640\) 1.35175 + 1.78123i 0.0534325 + 0.0704093i
\(641\) −4.20359 + 12.9373i −0.166032 + 0.510994i −0.999111 0.0421603i \(-0.986576\pi\)
0.833079 + 0.553154i \(0.186576\pi\)
\(642\) 0.425388 0.585496i 0.0167887 0.0231077i
\(643\) 20.9102i 0.824617i 0.911044 + 0.412308i \(0.135277\pi\)
−0.911044 + 0.412308i \(0.864723\pi\)
\(644\) 25.5131 + 18.5363i 1.00536 + 0.730433i
\(645\) −2.69413 + 2.04453i −0.106081 + 0.0805035i
\(646\) −6.33968 + 4.60604i −0.249431 + 0.181222i
\(647\) 26.9722 + 37.1240i 1.06039 + 1.45950i 0.879444 + 0.476002i \(0.157914\pi\)
0.180941 + 0.983494i \(0.442086\pi\)
\(648\) 0.951057 0.309017i 0.0373610 0.0121393i
\(649\) −1.46494 −0.0575039
\(650\) 3.09283 0.129011i 0.121311 0.00506023i
\(651\) −34.4062 −1.34848
\(652\) 19.2239 6.24624i 0.752868 0.244622i
\(653\) −1.53183 2.10838i −0.0599450 0.0825072i 0.777992 0.628274i \(-0.216238\pi\)
−0.837937 + 0.545767i \(0.816238\pi\)
\(654\) −2.08185 + 1.51256i −0.0814069 + 0.0591456i
\(655\) 1.13426 + 0.788499i 0.0443192 + 0.0308092i
\(656\) −5.09427 3.70121i −0.198898 0.144508i
\(657\) 9.83408i 0.383664i
\(658\) 22.1017 30.4204i 0.861615 1.18591i
\(659\) −7.39977 + 22.7742i −0.288254 + 0.887155i 0.697150 + 0.716925i \(0.254451\pi\)
−0.985404 + 0.170230i \(0.945549\pi\)
\(660\) 0.244915 + 11.7479i 0.00953329 + 0.457288i
\(661\) 8.01908 + 24.6802i 0.311906 + 0.959948i 0.977009 + 0.213196i \(0.0683874\pi\)
−0.665103 + 0.746751i \(0.731613\pi\)
\(662\) 3.26397 + 1.06053i 0.126858 + 0.0412186i
\(663\) −2.02876 0.659183i −0.0787904 0.0256005i
\(664\) −0.821902 2.52955i −0.0318960 0.0981657i
\(665\) 10.2238 14.7070i 0.396461 0.570312i
\(666\) −0.309552 + 0.952702i −0.0119949 + 0.0369164i
\(667\) 14.1132 19.4252i 0.546466 0.752145i
\(668\) 7.19183i 0.278260i
\(669\) −10.2749 7.46514i −0.397250 0.288619i
\(670\) 7.70127 25.4987i 0.297526 0.985099i
\(671\) −15.6543 + 11.3735i −0.604328 + 0.439070i
\(672\) 2.07022 + 2.84941i 0.0798604 + 0.109918i
\(673\) 14.0845 4.57632i 0.542916 0.176404i −0.0247037 0.999695i \(-0.507864\pi\)
0.567620 + 0.823291i \(0.307864\pi\)
\(674\) 11.7235 0.451574
\(675\) −4.68676 + 1.74193i −0.180393 + 0.0670468i
\(676\) −12.6167 −0.485258
\(677\) 33.2224 10.7946i 1.27684 0.414870i 0.409373 0.912367i \(-0.365747\pi\)
0.867466 + 0.497497i \(0.165747\pi\)
\(678\) 8.92737 + 12.2875i 0.342853 + 0.471897i
\(679\) −12.4578 + 9.05109i −0.478085 + 0.347349i
\(680\) 2.53304 + 7.27622i 0.0971375 + 0.279030i
\(681\) 11.5415 + 8.38543i 0.442273 + 0.321330i
\(682\) 51.3346i 1.96571i
\(683\) −12.3485 + 16.9963i −0.472504 + 0.650346i −0.977043 0.213043i \(-0.931662\pi\)
0.504539 + 0.863389i \(0.331662\pi\)
\(684\) −0.702799 + 2.16299i −0.0268722 + 0.0827041i
\(685\) 19.8465 + 5.99418i 0.758297 + 0.229026i
\(686\) 1.73603 + 5.34295i 0.0662819 + 0.203995i
\(687\) 8.37223 + 2.72030i 0.319421 + 0.103786i
\(688\) 1.43848 + 0.467392i 0.0548417 + 0.0178192i
\(689\) −0.105866 0.325822i −0.00403318 0.0124128i
\(690\) 19.1662 + 5.78870i 0.729645 + 0.220372i
\(691\) −7.23231 + 22.2588i −0.275130 + 0.846763i 0.714055 + 0.700090i \(0.246857\pi\)
−0.989185 + 0.146673i \(0.953143\pi\)
\(692\) 3.60403 4.96053i 0.137005 0.188571i
\(693\) 18.5084i 0.703076i
\(694\) 26.2204 + 19.0502i 0.995312 + 0.723137i
\(695\) −13.7929 39.6206i −0.523196 1.50290i
\(696\) 2.16949 1.57623i 0.0822342 0.0597467i
\(697\) −12.7528 17.5527i −0.483045 0.664854i
\(698\) −10.8143 + 3.51377i −0.409326 + 0.132998i
\(699\) 15.0762 0.570235
\(700\) −10.9359 13.8033i −0.413337 0.521715i
\(701\) −43.2849 −1.63485 −0.817424 0.576037i \(-0.804598\pi\)
−0.817424 + 0.576037i \(0.804598\pi\)
\(702\) −0.588802 + 0.191313i −0.0222229 + 0.00722066i
\(703\) −1.33912 1.84314i −0.0505057 0.0695152i
\(704\) 4.25137 3.08880i 0.160230 0.116414i
\(705\) 6.90214 22.8528i 0.259950 0.860685i
\(706\) −1.68861 1.22685i −0.0635516 0.0461730i
\(707\) 50.2552i 1.89004i
\(708\) −0.163858 + 0.225531i −0.00615815 + 0.00847597i
\(709\) 7.72993 23.7903i 0.290303 0.893462i −0.694455 0.719536i \(-0.744355\pi\)
0.984759 0.173926i \(-0.0556454\pi\)
\(710\) 6.06079 8.71848i 0.227457 0.327199i
\(711\) 2.01497 + 6.20143i 0.0755671 + 0.232572i
\(712\) −12.7308 4.13649i −0.477108 0.155022i
\(713\) 83.1865 + 27.0289i 3.11536 + 1.01224i
\(714\) 3.75008 + 11.5416i 0.140343 + 0.431932i
\(715\) −0.151627 7.27319i −0.00567054 0.272002i
\(716\) 4.42813 13.6284i 0.165487 0.509316i
\(717\) −3.67120 + 5.05298i −0.137104 + 0.188707i
\(718\) 6.81215i 0.254227i
\(719\) −24.9533 18.1296i −0.930601 0.676121i 0.0155391 0.999879i \(-0.495054\pi\)
−0.946140 + 0.323758i \(0.895054\pi\)
\(720\) 1.83602 + 1.27634i 0.0684244 + 0.0475663i
\(721\) 50.3442 36.5772i 1.87492 1.36221i
\(722\) 8.12762 + 11.1867i 0.302479 + 0.416326i
\(723\) −14.0846 + 4.57636i −0.523812 + 0.170197i
\(724\) −15.7294 −0.584580
\(725\) −10.5096 + 8.32636i −0.390315 + 0.309233i
\(726\) 16.6149 0.616635
\(727\) 0.623458 0.202574i 0.0231228 0.00751304i −0.297433 0.954743i \(-0.596130\pi\)
0.320556 + 0.947230i \(0.396130\pi\)
\(728\) −1.28168 1.76408i −0.0475022 0.0653811i
\(729\) 0.809017 0.587785i 0.0299636 0.0217698i
\(730\) −17.5168 + 13.2932i −0.648324 + 0.492003i
\(731\) 4.21616 + 3.06322i 0.155940 + 0.113297i
\(732\) 3.68218i 0.136097i
\(733\) 8.05975 11.0933i 0.297694 0.409740i −0.633800 0.773497i \(-0.718506\pi\)
0.931494 + 0.363756i \(0.118506\pi\)
\(734\) 0.0480016 0.147734i 0.00177177 0.00545295i
\(735\) −7.30611 9.62744i −0.269490 0.355113i
\(736\) −2.76688 8.51557i −0.101988 0.313888i
\(737\) −59.5342 19.3438i −2.19297 0.712539i
\(738\) −5.98868 1.94584i −0.220446 0.0716273i
\(739\) 3.38589 + 10.4207i 0.124552 + 0.383332i 0.993819 0.111011i \(-0.0354088\pi\)
−0.869267 + 0.494343i \(0.835409\pi\)
\(740\) −2.11542 + 0.736430i −0.0777642 + 0.0270717i
\(741\) 0.435105 1.33912i 0.0159840 0.0491937i
\(742\) −1.14559 + 1.57676i −0.0420558 + 0.0578848i
\(743\) 5.67053i 0.208032i 0.994576 + 0.104016i \(0.0331692\pi\)
−0.994576 + 0.104016i \(0.966831\pi\)
\(744\) 7.90309 + 5.74193i 0.289741 + 0.210509i
\(745\) 37.6463 0.784829i 1.37925 0.0287539i
\(746\) 24.0650 17.4843i 0.881084 0.640145i
\(747\) −1.56335 2.15177i −0.0572000 0.0787290i
\(748\) 17.2202 5.59518i 0.629633 0.204580i
\(749\) 2.54896 0.0931371
\(750\) −9.43808 5.99354i −0.344630 0.218853i
\(751\) −22.2909 −0.813408 −0.406704 0.913560i \(-0.633322\pi\)
−0.406704 + 0.913560i \(0.633322\pi\)
\(752\) −10.1535 + 3.29908i −0.370261 + 0.120305i
\(753\) 10.7414 + 14.7843i 0.391439 + 0.538770i
\(754\) −1.34314 + 0.975846i −0.0489141 + 0.0355382i
\(755\) 37.5426 0.782666i 1.36631 0.0284841i
\(756\) 2.84941 + 2.07022i 0.103632 + 0.0752931i
\(757\) 17.3894i 0.632030i 0.948754 + 0.316015i \(0.102345\pi\)
−0.948754 + 0.316015i \(0.897655\pi\)
\(758\) 9.80558 13.4962i 0.356155 0.490205i
\(759\) 14.5399 44.7492i 0.527765 1.62429i
\(760\) −4.80279 + 1.67197i −0.174216 + 0.0606489i
\(761\) 4.78812 + 14.7363i 0.173569 + 0.534191i 0.999565 0.0294850i \(-0.00938672\pi\)
−0.825996 + 0.563676i \(0.809387\pi\)
\(762\) −4.15027 1.34850i −0.150348 0.0488512i
\(763\) −8.61978 2.80074i −0.312057 0.101393i
\(764\) 1.11938 + 3.44511i 0.0404979 + 0.124640i
\(765\) 4.65754 + 6.13734i 0.168394 + 0.221896i
\(766\) −3.48545 + 10.7271i −0.125934 + 0.387586i
\(767\) 0.101445 0.139627i 0.00366296 0.00504163i
\(768\) 1.00000i 0.0360844i
\(769\)