Properties

Label 462.2.w.b.365.7
Level $462$
Weight $2$
Character 462.365
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 365.7
Character \(\chi\) \(=\) 462.365
Dual form 462.2.w.b.281.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 + 0.951057i) q^{2} +(-0.711719 + 1.57907i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.152745 + 0.0496298i) q^{5} +(-1.28185 - 1.16484i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.98691 - 2.24771i) q^{9} +O(q^{10})\) \(q+(-0.309017 + 0.951057i) q^{2} +(-0.711719 + 1.57907i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.152745 + 0.0496298i) q^{5} +(-1.28185 - 1.16484i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.98691 - 2.24771i) q^{9} -0.160605i q^{10} +(-3.12194 + 1.11961i) q^{11} +(1.50395 - 0.859155i) q^{12} +(-6.36388 - 2.06775i) q^{13} +(0.587785 + 0.809017i) q^{14} +(0.0303426 - 0.276517i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.841882 + 2.59105i) q^{17} +(2.75168 - 1.19509i) q^{18} +(-3.45842 - 4.76011i) q^{19} +(0.152745 + 0.0496298i) q^{20} +(0.859155 + 1.50395i) q^{21} +(-0.100078 - 3.31511i) q^{22} -2.94363i q^{23} +(0.352360 + 1.69583i) q^{24} +(-4.02422 + 2.92376i) q^{25} +(3.93309 - 5.41344i) q^{26} +(4.96340 - 1.53773i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(5.12098 + 3.72061i) q^{29} +(0.253607 + 0.114306i) q^{30} +(2.60546 - 8.01878i) q^{31} -1.00000 q^{32} +(0.454006 - 5.72659i) q^{33} -2.72439 q^{34} +(-0.0496298 + 0.152745i) q^{35} +(0.286277 + 2.98631i) q^{36} +(-0.501222 - 0.364159i) q^{37} +(5.59585 - 1.81820i) q^{38} +(7.79441 - 8.57734i) q^{39} +(-0.0944015 + 0.129933i) q^{40} +(-4.44808 + 3.23172i) q^{41} +(-1.69583 + 0.352360i) q^{42} +2.41048i q^{43} +(3.18379 + 0.929247i) q^{44} +(0.415044 + 0.244715i) q^{45} +(2.79955 + 0.909630i) q^{46} +(-1.56714 - 2.15699i) q^{47} +(-1.72172 - 0.188926i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-1.53711 - 4.73075i) q^{50} +(-4.69062 - 0.514708i) q^{51} +(3.93309 + 5.41344i) q^{52} +(2.46767 + 0.801796i) q^{53} +(-0.0713040 + 5.19566i) q^{54} +(0.421294 - 0.325955i) q^{55} -1.00000i q^{56} +(9.97797 - 2.07322i) q^{57} +(-5.12098 + 3.72061i) q^{58} +(-8.48442 + 11.6778i) q^{59} +(-0.187080 + 0.205872i) q^{60} +(-7.68134 + 2.49582i) q^{61} +(6.82118 + 4.95588i) q^{62} +(-2.98631 + 0.286277i) q^{63} +(0.309017 - 0.951057i) q^{64} +1.07467 q^{65} +(5.30602 + 2.20140i) q^{66} +9.38707 q^{67} +(0.841882 - 2.59105i) q^{68} +(4.64819 + 2.09503i) q^{69} +(-0.129933 - 0.0944015i) q^{70} +(-10.0295 + 3.25877i) q^{71} +(-2.92861 - 0.650555i) q^{72} +(0.0597686 - 0.0822645i) q^{73} +(0.501222 - 0.364159i) q^{74} +(-1.75271 - 8.43541i) q^{75} +5.88382i q^{76} +(-0.929247 + 3.18379i) q^{77} +(5.74893 + 10.0635i) q^{78} +(-8.72301 - 2.83428i) q^{79} +(-0.0944015 - 0.129933i) q^{80} +(-1.10436 + 8.93199i) q^{81} +(-1.69901 - 5.22903i) q^{82} +(-4.39153 - 13.5157i) q^{83} +(0.188926 - 1.72172i) q^{84} +(-0.257186 - 0.353987i) q^{85} +(-2.29250 - 0.744879i) q^{86} +(-9.51979 + 5.43834i) q^{87} +(-1.86761 + 2.74081i) q^{88} -15.1000i q^{89} +(-0.360994 + 0.319109i) q^{90} +(-5.41344 + 3.93309i) q^{91} +(-1.73022 + 2.38144i) q^{92} +(10.8078 + 9.82131i) q^{93} +(2.53569 - 0.823897i) q^{94} +(0.764500 + 0.555442i) q^{95} +(0.711719 - 1.57907i) q^{96} +(-3.20306 + 9.85801i) q^{97} +1.00000 q^{98} +(8.71956 + 4.79263i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + 8q^{11} + 6q^{12} - 24q^{15} - 12q^{16} + 24q^{17} + 10q^{18} + 30q^{19} - 8q^{22} - 6q^{24} + 18q^{25} + 20q^{26} + 38q^{27} - 8q^{29} - 36q^{30} - 32q^{31} - 48q^{32} + 24q^{33} - 4q^{34} - 6q^{35} - 20q^{37} - 20q^{38} - 34q^{39} - 22q^{44} + 12q^{45} + 20q^{46} - 20q^{47} - 4q^{48} + 12q^{49} - 28q^{50} + 2q^{51} + 20q^{52} - 20q^{53} - 18q^{54} + 16q^{55} + 12q^{57} + 8q^{58} - 30q^{59} - 4q^{60} - 20q^{61} - 8q^{62} - 4q^{63} - 12q^{64} + 46q^{66} + 36q^{67} + 24q^{68} + 30q^{69} - 4q^{70} - 10q^{72} - 20q^{73} + 20q^{74} + 40q^{75} + 16q^{77} - 16q^{78} - 20q^{79} - 54q^{81} - 10q^{82} + 46q^{83} - 10q^{84} + 10q^{85} + 30q^{86} - 8q^{87} - 8q^{88} - 62q^{90} - 36q^{91} - 10q^{92} + 44q^{93} - 50q^{95} + 4q^{96} - 2q^{97} + 48q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 + 0.951057i −0.218508 + 0.672499i
\(3\) −0.711719 + 1.57907i −0.410911 + 0.911675i
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −0.152745 + 0.0496298i −0.0683096 + 0.0221951i −0.342972 0.939345i \(-0.611434\pi\)
0.274663 + 0.961541i \(0.411434\pi\)
\(6\) −1.28185 1.16484i −0.523313 0.475546i
\(7\) 0.587785 0.809017i 0.222162 0.305780i
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) −1.98691 2.24771i −0.662304 0.749235i
\(10\) 0.160605i 0.0507879i
\(11\) −3.12194 + 1.11961i −0.941299 + 0.337574i
\(12\) 1.50395 0.859155i 0.434152 0.248017i
\(13\) −6.36388 2.06775i −1.76502 0.573491i −0.767322 0.641262i \(-0.778411\pi\)
−0.997701 + 0.0677714i \(0.978411\pi\)
\(14\) 0.587785 + 0.809017i 0.157092 + 0.216219i
\(15\) 0.0303426 0.276517i 0.00783442 0.0713964i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 0.841882 + 2.59105i 0.204186 + 0.628421i 0.999746 + 0.0225456i \(0.00717710\pi\)
−0.795559 + 0.605876i \(0.792823\pi\)
\(18\) 2.75168 1.19509i 0.648578 0.281685i
\(19\) −3.45842 4.76011i −0.793417 1.09204i −0.993674 0.112301i \(-0.964178\pi\)
0.200257 0.979743i \(-0.435822\pi\)
\(20\) 0.152745 + 0.0496298i 0.0341548 + 0.0110976i
\(21\) 0.859155 + 1.50395i 0.187483 + 0.328188i
\(22\) −0.100078 3.31511i −0.0213367 0.706785i
\(23\) 2.94363i 0.613788i −0.951744 0.306894i \(-0.900710\pi\)
0.951744 0.306894i \(-0.0992898\pi\)
\(24\) 0.352360 + 1.69583i 0.0719252 + 0.346160i
\(25\) −4.02422 + 2.92376i −0.804843 + 0.584753i
\(26\) 3.93309 5.41344i 0.771343 1.06166i
\(27\) 4.96340 1.53773i 0.955207 0.295937i
\(28\) −0.951057 + 0.309017i −0.179733 + 0.0583987i
\(29\) 5.12098 + 3.72061i 0.950942 + 0.690900i 0.951029 0.309100i \(-0.100028\pi\)
−8.76975e−5 1.00000i \(0.500028\pi\)
\(30\) 0.253607 + 0.114306i 0.0463021 + 0.0208693i
\(31\) 2.60546 8.01878i 0.467954 1.44021i −0.387275 0.921964i \(-0.626584\pi\)
0.855229 0.518250i \(-0.173416\pi\)
\(32\) −1.00000 −0.176777
\(33\) 0.454006 5.72659i 0.0790324 0.996872i
\(34\) −2.72439 −0.467229
\(35\) −0.0496298 + 0.152745i −0.00838897 + 0.0258186i
\(36\) 0.286277 + 2.98631i 0.0477129 + 0.497718i
\(37\) −0.501222 0.364159i −0.0824003 0.0598673i 0.545822 0.837901i \(-0.316217\pi\)
−0.628223 + 0.778034i \(0.716217\pi\)
\(38\) 5.59585 1.81820i 0.907766 0.294951i
\(39\) 7.79441 8.57734i 1.24810 1.37347i
\(40\) −0.0944015 + 0.129933i −0.0149262 + 0.0205441i
\(41\) −4.44808 + 3.23172i −0.694673 + 0.504709i −0.878193 0.478307i \(-0.841251\pi\)
0.183520 + 0.983016i \(0.441251\pi\)
\(42\) −1.69583 + 0.352360i −0.261672 + 0.0543703i
\(43\) 2.41048i 0.367594i 0.982964 + 0.183797i \(0.0588390\pi\)
−0.982964 + 0.183797i \(0.941161\pi\)
\(44\) 3.18379 + 0.929247i 0.479974 + 0.140089i
\(45\) 0.415044 + 0.244715i 0.0618711 + 0.0364800i
\(46\) 2.79955 + 0.909630i 0.412772 + 0.134118i
\(47\) −1.56714 2.15699i −0.228592 0.314629i 0.679279 0.733880i \(-0.262293\pi\)
−0.907870 + 0.419251i \(0.862293\pi\)
\(48\) −1.72172 0.188926i −0.248508 0.0272691i
\(49\) −0.309017 0.951057i −0.0441453 0.135865i
\(50\) −1.53711 4.73075i −0.217381 0.669029i
\(51\) −4.69062 0.514708i −0.656819 0.0720736i
\(52\) 3.93309 + 5.41344i 0.545422 + 0.750709i
\(53\) 2.46767 + 0.801796i 0.338961 + 0.110135i 0.473551 0.880766i \(-0.342972\pi\)
−0.134590 + 0.990901i \(0.542972\pi\)
\(54\) −0.0713040 + 5.19566i −0.00970325 + 0.707040i
\(55\) 0.421294 0.325955i 0.0568072 0.0439518i
\(56\) 1.00000i 0.133631i
\(57\) 9.97797 2.07322i 1.32161 0.274605i
\(58\) −5.12098 + 3.72061i −0.672417 + 0.488540i
\(59\) −8.48442 + 11.6778i −1.10458 + 1.52032i −0.275403 + 0.961329i \(0.588811\pi\)
−0.829174 + 0.558991i \(0.811189\pi\)
\(60\) −0.187080 + 0.205872i −0.0241520 + 0.0265780i
\(61\) −7.68134 + 2.49582i −0.983495 + 0.319557i −0.756251 0.654281i \(-0.772971\pi\)
−0.227243 + 0.973838i \(0.572971\pi\)
\(62\) 6.82118 + 4.95588i 0.866291 + 0.629397i
\(63\) −2.98631 + 0.286277i −0.376240 + 0.0360675i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 1.07467 0.133297
\(66\) 5.30602 + 2.20140i 0.653126 + 0.270974i
\(67\) 9.38707 1.14681 0.573407 0.819271i \(-0.305622\pi\)
0.573407 + 0.819271i \(0.305622\pi\)
\(68\) 0.841882 2.59105i 0.102093 0.314211i
\(69\) 4.64819 + 2.09503i 0.559576 + 0.252213i
\(70\) −0.129933 0.0944015i −0.0155299 0.0112831i
\(71\) −10.0295 + 3.25877i −1.19028 + 0.386745i −0.836176 0.548462i \(-0.815214\pi\)
−0.354103 + 0.935207i \(0.615214\pi\)
\(72\) −2.92861 0.650555i −0.345140 0.0766686i
\(73\) 0.0597686 0.0822645i 0.00699539 0.00962833i −0.805505 0.592589i \(-0.798106\pi\)
0.812500 + 0.582961i \(0.198106\pi\)
\(74\) 0.501222 0.364159i 0.0582658 0.0423326i
\(75\) −1.75271 8.43541i −0.202386 0.974037i
\(76\) 5.88382i 0.674921i
\(77\) −0.929247 + 3.18379i −0.105898 + 0.362826i
\(78\) 5.74893 + 10.0635i 0.650938 + 1.13946i
\(79\) −8.72301 2.83428i −0.981415 0.318881i −0.226000 0.974127i \(-0.572565\pi\)
−0.755415 + 0.655246i \(0.772565\pi\)
\(80\) −0.0944015 0.129933i −0.0105544 0.0145269i
\(81\) −1.10436 + 8.93199i −0.122707 + 0.992443i
\(82\) −1.69901 5.22903i −0.187625 0.577450i
\(83\) −4.39153 13.5157i −0.482033 1.48355i −0.836232 0.548376i \(-0.815246\pi\)
0.354199 0.935170i \(-0.384754\pi\)
\(84\) 0.188926 1.72172i 0.0206135 0.187855i
\(85\) −0.257186 0.353987i −0.0278958 0.0383953i
\(86\) −2.29250 0.744879i −0.247207 0.0803223i
\(87\) −9.51979 + 5.43834i −1.02063 + 0.583052i
\(88\) −1.86761 + 2.74081i −0.199088 + 0.292171i
\(89\) 15.1000i 1.60060i −0.599601 0.800299i \(-0.704674\pi\)
0.599601 0.800299i \(-0.295326\pi\)
\(90\) −0.360994 + 0.319109i −0.0380521 + 0.0336370i
\(91\) −5.41344 + 3.93309i −0.567483 + 0.412300i
\(92\) −1.73022 + 2.38144i −0.180388 + 0.248283i
\(93\) 10.8078 + 9.82131i 1.12072 + 1.01842i
\(94\) 2.53569 0.823897i 0.261537 0.0849785i
\(95\) 0.764500 + 0.555442i 0.0784361 + 0.0569871i
\(96\) 0.711719 1.57907i 0.0726395 0.161163i
\(97\) −3.20306 + 9.85801i −0.325222 + 1.00093i 0.646119 + 0.763237i \(0.276391\pi\)
−0.971341 + 0.237692i \(0.923609\pi\)
\(98\) 1.00000 0.101015
\(99\) 8.71956 + 4.79263i 0.876348 + 0.481678i
\(100\) 4.97421 0.497421
\(101\) −3.65609 + 11.2523i −0.363795 + 1.11964i 0.586938 + 0.809632i \(0.300333\pi\)
−0.950732 + 0.310013i \(0.899667\pi\)
\(102\) 1.93900 4.30199i 0.191990 0.425961i
\(103\) 0.881475 + 0.640429i 0.0868543 + 0.0631033i 0.630365 0.776299i \(-0.282905\pi\)
−0.543511 + 0.839402i \(0.682905\pi\)
\(104\) −6.36388 + 2.06775i −0.624030 + 0.202760i
\(105\) −0.205872 0.187080i −0.0200911 0.0182572i
\(106\) −1.52511 + 2.09913i −0.148131 + 0.203885i
\(107\) −6.75237 + 4.90589i −0.652776 + 0.474270i −0.864216 0.503121i \(-0.832185\pi\)
0.211439 + 0.977391i \(0.432185\pi\)
\(108\) −4.91934 1.67336i −0.473363 0.161019i
\(109\) 0.765456i 0.0733174i 0.999328 + 0.0366587i \(0.0116714\pi\)
−0.999328 + 0.0366587i \(0.988329\pi\)
\(110\) 0.179815 + 0.501400i 0.0171447 + 0.0478066i
\(111\) 0.931761 0.532284i 0.0884388 0.0505222i
\(112\) 0.951057 + 0.309017i 0.0898664 + 0.0291994i
\(113\) 6.11535 + 8.41706i 0.575284 + 0.791810i 0.993168 0.116690i \(-0.0372283\pi\)
−0.417885 + 0.908500i \(0.637228\pi\)
\(114\) −1.11161 + 10.1303i −0.104112 + 0.948787i
\(115\) 0.146092 + 0.449624i 0.0136231 + 0.0419276i
\(116\) −1.95604 6.02007i −0.181614 0.558950i
\(117\) 7.99678 + 18.4126i 0.739302 + 1.70224i
\(118\) −8.48442 11.6778i −0.781054 1.07503i
\(119\) 2.59105 + 0.841882i 0.237521 + 0.0771752i
\(120\) −0.137985 0.241542i −0.0125962 0.0220497i
\(121\) 8.49296 6.99068i 0.772088 0.635516i
\(122\) 8.07664i 0.731225i
\(123\) −1.93732 9.32389i −0.174682 0.840707i
\(124\) −6.82118 + 4.95588i −0.612560 + 0.445051i
\(125\) 0.941580 1.29597i 0.0842175 0.115915i
\(126\) 0.650555 2.92861i 0.0579560 0.260902i
\(127\) 12.9700 4.21421i 1.15090 0.373951i 0.329419 0.944184i \(-0.393147\pi\)
0.821483 + 0.570233i \(0.193147\pi\)
\(128\) 0.809017 + 0.587785i 0.0715077 + 0.0519534i
\(129\) −3.80631 1.71558i −0.335127 0.151049i
\(130\) −0.332092 + 1.02207i −0.0291264 + 0.0896418i
\(131\) −7.47224 −0.652852 −0.326426 0.945223i \(-0.605844\pi\)
−0.326426 + 0.945223i \(0.605844\pi\)
\(132\) −3.73331 + 4.36605i −0.324943 + 0.380016i
\(133\) −5.88382 −0.510192
\(134\) −2.90076 + 8.92763i −0.250588 + 0.771230i
\(135\) −0.681817 + 0.481214i −0.0586815 + 0.0414163i
\(136\) 2.20408 + 1.60136i 0.188998 + 0.137315i
\(137\) −4.15192 + 1.34904i −0.354722 + 0.115256i −0.480957 0.876744i \(-0.659711\pi\)
0.126235 + 0.992000i \(0.459711\pi\)
\(138\) −3.42886 + 3.77329i −0.291884 + 0.321203i
\(139\) −12.1741 + 16.7562i −1.03260 + 1.42125i −0.129615 + 0.991564i \(0.541374\pi\)
−0.902981 + 0.429681i \(0.858626\pi\)
\(140\) 0.129933 0.0944015i 0.0109813 0.00797839i
\(141\) 4.52140 0.939457i 0.380771 0.0791166i
\(142\) 10.5456i 0.884967i
\(143\) 22.1827 0.669659i 1.85501 0.0559997i
\(144\) 1.52371 2.58424i 0.126975 0.215354i
\(145\) −0.966856 0.314151i −0.0802930 0.0260888i
\(146\) 0.0597686 + 0.0822645i 0.00494649 + 0.00680826i
\(147\) 1.72172 + 0.188926i 0.142005 + 0.0155824i
\(148\) 0.191450 + 0.589221i 0.0157371 + 0.0484337i
\(149\) 0.923115 + 2.84105i 0.0756245 + 0.232748i 0.981722 0.190321i \(-0.0609528\pi\)
−0.906097 + 0.423069i \(0.860953\pi\)
\(150\) 8.56417 + 0.939758i 0.699262 + 0.0767309i
\(151\) 0.0890010 + 0.122499i 0.00724280 + 0.00996886i 0.812623 0.582790i \(-0.198039\pi\)
−0.805380 + 0.592759i \(0.798039\pi\)
\(152\) −5.59585 1.81820i −0.453883 0.147476i
\(153\) 4.15117 7.04049i 0.335602 0.569190i
\(154\) −2.74081 1.86761i −0.220861 0.150496i
\(155\) 1.35414i 0.108767i
\(156\) −11.3474 + 2.35778i −0.908523 + 0.188773i
\(157\) 1.43904 1.04552i 0.114848 0.0834417i −0.528879 0.848697i \(-0.677387\pi\)
0.643727 + 0.765256i \(0.277387\pi\)
\(158\) 5.39112 7.42024i 0.428894 0.590322i
\(159\) −3.02238 + 3.32597i −0.239690 + 0.263767i
\(160\) 0.152745 0.0496298i 0.0120755 0.00392358i
\(161\) −2.38144 1.73022i −0.187684 0.136360i
\(162\) −8.15356 3.81045i −0.640604 0.299377i
\(163\) 5.31247 16.3501i 0.416105 1.28064i −0.495154 0.868805i \(-0.664889\pi\)
0.911259 0.411833i \(-0.135111\pi\)
\(164\) 5.49813 0.429331
\(165\) 0.214863 + 0.897240i 0.0167270 + 0.0698501i
\(166\) 14.2113 1.10301
\(167\) 6.43253 19.7973i 0.497764 1.53196i −0.314841 0.949145i \(-0.601951\pi\)
0.812605 0.582815i \(-0.198049\pi\)
\(168\) 1.57907 + 0.711719i 0.121828 + 0.0549103i
\(169\) 25.7062 + 18.6766i 1.97740 + 1.43666i
\(170\) 0.416136 0.135211i 0.0319162 0.0103702i
\(171\) −3.82775 + 17.2314i −0.292715 + 1.31772i
\(172\) 1.41684 1.95012i 0.108033 0.148695i
\(173\) −14.9931 + 10.8931i −1.13990 + 0.828188i −0.987106 0.160069i \(-0.948828\pi\)
−0.152797 + 0.988258i \(0.548828\pi\)
\(174\) −2.23040 10.7344i −0.169086 0.813773i
\(175\) 4.97421i 0.376015i
\(176\) −2.02954 2.62316i −0.152982 0.197728i
\(177\) −12.4015 21.7088i −0.932155 1.63173i
\(178\) 14.3610 + 4.66616i 1.07640 + 0.349743i
\(179\) 10.7526 + 14.7997i 0.803686 + 1.10618i 0.992267 + 0.124121i \(0.0396111\pi\)
−0.188581 + 0.982058i \(0.560389\pi\)
\(180\) −0.191937 0.441936i −0.0143062 0.0329399i
\(181\) 0.221317 + 0.681143i 0.0164503 + 0.0506289i 0.958945 0.283593i \(-0.0915265\pi\)
−0.942494 + 0.334222i \(0.891526\pi\)
\(182\) −2.06775 6.36388i −0.153272 0.471722i
\(183\) 1.52589 13.9057i 0.112797 1.02794i
\(184\) −1.73022 2.38144i −0.127553 0.175562i
\(185\) 0.0946322 + 0.0307479i 0.00695750 + 0.00226063i
\(186\) −12.6804 + 7.24391i −0.929774 + 0.531150i
\(187\) −5.52926 7.14651i −0.404339 0.522604i
\(188\) 2.66619i 0.194452i
\(189\) 1.67336 4.91934i 0.121719 0.357829i
\(190\) −0.764500 + 0.555442i −0.0554627 + 0.0402960i
\(191\) 15.3041 21.0643i 1.10737 1.52416i 0.282126 0.959377i \(-0.408960\pi\)
0.825240 0.564782i \(-0.191040\pi\)
\(192\) 1.28185 + 1.16484i 0.0925095 + 0.0840654i
\(193\) −2.38681 + 0.775523i −0.171807 + 0.0558234i −0.393657 0.919257i \(-0.628790\pi\)
0.221851 + 0.975081i \(0.428790\pi\)
\(194\) −8.38572 6.09258i −0.602060 0.437422i
\(195\) −0.764865 + 1.69698i −0.0547731 + 0.121523i
\(196\) −0.309017 + 0.951057i −0.0220726 + 0.0679326i
\(197\) 7.14552 0.509097 0.254549 0.967060i \(-0.418073\pi\)
0.254549 + 0.967060i \(0.418073\pi\)
\(198\) −7.25256 + 6.81179i −0.515417 + 0.484093i
\(199\) 12.9631 0.918927 0.459464 0.888197i \(-0.348042\pi\)
0.459464 + 0.888197i \(0.348042\pi\)
\(200\) −1.53711 + 4.73075i −0.108690 + 0.334515i
\(201\) −6.68096 + 14.8228i −0.471238 + 1.04552i
\(202\) −9.57177 6.95430i −0.673467 0.489303i
\(203\) 6.02007 1.95604i 0.422526 0.137287i
\(204\) 3.49226 + 3.17349i 0.244507 + 0.222189i
\(205\) 0.519031 0.714386i 0.0362507 0.0498948i
\(206\) −0.881475 + 0.640429i −0.0614153 + 0.0446208i
\(207\) −6.61640 + 5.84872i −0.459872 + 0.406514i
\(208\) 6.69138i 0.463964i
\(209\) 16.1264 + 10.9887i 1.11549 + 0.760104i
\(210\) 0.241542 0.137985i 0.0166680 0.00952187i
\(211\) −21.9899 7.14496i −1.51385 0.491879i −0.569828 0.821764i \(-0.692990\pi\)
−0.944021 + 0.329885i \(0.892990\pi\)
\(212\) −1.52511 2.09913i −0.104745 0.144169i
\(213\) 1.99234 18.1565i 0.136513 1.24407i
\(214\) −2.57918 7.93789i −0.176309 0.542623i
\(215\) −0.119632 0.368188i −0.00815881 0.0251102i
\(216\) 3.11162 4.16147i 0.211719 0.283152i
\(217\) −4.95588 6.82118i −0.336427 0.463052i
\(218\) −0.727992 0.236539i −0.0493058 0.0160204i
\(219\) 0.0873627 + 0.152928i 0.00590342 + 0.0103339i
\(220\) −0.532426 + 0.0160731i −0.0358961 + 0.00108364i
\(221\) 18.2299i 1.22628i
\(222\) 0.218303 + 1.05064i 0.0146515 + 0.0705145i
\(223\) 6.15373 4.47095i 0.412084 0.299397i −0.362361 0.932038i \(-0.618029\pi\)
0.774445 + 0.632641i \(0.218029\pi\)
\(224\) −0.587785 + 0.809017i −0.0392731 + 0.0540547i
\(225\) 14.5675 + 3.23599i 0.971169 + 0.215733i
\(226\) −9.89485 + 3.21503i −0.658195 + 0.213861i
\(227\) −19.2651 13.9969i −1.27867 0.929009i −0.279160 0.960245i \(-0.590056\pi\)
−0.999512 + 0.0312354i \(0.990056\pi\)
\(228\) −9.29096 4.18763i −0.615309 0.277332i
\(229\) −4.25896 + 13.1077i −0.281440 + 0.866184i 0.706003 + 0.708209i \(0.250496\pi\)
−0.987443 + 0.157975i \(0.949504\pi\)
\(230\) −0.472762 −0.0311730
\(231\) −4.36605 3.73331i −0.287265 0.245634i
\(232\) 6.32988 0.415577
\(233\) 0.322037 0.991129i 0.0210974 0.0649310i −0.939954 0.341302i \(-0.889132\pi\)
0.961051 + 0.276371i \(0.0891320\pi\)
\(234\) −19.9825 + 1.91559i −1.30630 + 0.125226i
\(235\) 0.346424 + 0.251692i 0.0225982 + 0.0164186i
\(236\) 13.7281 4.46052i 0.893621 0.290355i
\(237\) 10.6838 11.7570i 0.693991 0.763700i
\(238\) −1.60136 + 2.20408i −0.103800 + 0.142869i
\(239\) −17.2577 + 12.5384i −1.11630 + 0.811043i −0.983645 0.180119i \(-0.942352\pi\)
−0.132660 + 0.991162i \(0.542352\pi\)
\(240\) 0.272360 0.0565910i 0.0175807 0.00365293i
\(241\) 12.2281i 0.787678i −0.919179 0.393839i \(-0.871147\pi\)
0.919179 0.393839i \(-0.128853\pi\)
\(242\) 4.02406 + 10.2375i 0.258676 + 0.658093i
\(243\) −13.3182 8.10093i −0.854364 0.519675i
\(244\) 7.68134 + 2.49582i 0.491747 + 0.159778i
\(245\) 0.0944015 + 0.129933i 0.00603109 + 0.00830109i
\(246\) 9.46621 + 1.03874i 0.603544 + 0.0662276i
\(247\) 12.1663 + 37.4439i 0.774121 + 2.38250i
\(248\) −2.60546 8.01878i −0.165447 0.509193i
\(249\) 24.4678 + 2.68489i 1.55059 + 0.170148i
\(250\) 0.941580 + 1.29597i 0.0595508 + 0.0819646i
\(251\) −0.705970 0.229384i −0.0445604 0.0144786i 0.286652 0.958035i \(-0.407458\pi\)
−0.331212 + 0.943556i \(0.607458\pi\)
\(252\) 2.58424 + 1.52371i 0.162792 + 0.0959844i
\(253\) 3.29570 + 9.18981i 0.207199 + 0.577758i
\(254\) 13.6375i 0.855691i
\(255\) 0.742014 0.154176i 0.0464667 0.00965486i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −1.74642 + 2.40375i −0.108939 + 0.149942i −0.860005 0.510285i \(-0.829540\pi\)
0.751066 + 0.660227i \(0.229540\pi\)
\(258\) 2.80783 3.08987i 0.174808 0.192367i
\(259\) −0.589221 + 0.191450i −0.0366124 + 0.0118961i
\(260\) −0.869428 0.631676i −0.0539196 0.0391749i
\(261\) −1.81210 18.9030i −0.112166 1.17006i
\(262\) 2.30905 7.10652i 0.142653 0.439042i
\(263\) 2.16498 0.133499 0.0667493 0.997770i \(-0.478737\pi\)
0.0667493 + 0.997770i \(0.478737\pi\)
\(264\) −2.99871 4.89977i −0.184558 0.301560i
\(265\) −0.416718 −0.0255988
\(266\) 1.81820 5.59585i 0.111481 0.343103i
\(267\) 23.8439 + 10.7470i 1.45923 + 0.657704i
\(268\) −7.59430 5.51758i −0.463896 0.337040i
\(269\) 1.35856 0.441423i 0.0828328 0.0269140i −0.267307 0.963611i \(-0.586134\pi\)
0.350140 + 0.936697i \(0.386134\pi\)
\(270\) −0.246969 0.797150i −0.0150300 0.0485130i
\(271\) 8.04765 11.0766i 0.488860 0.672858i −0.491317 0.870981i \(-0.663484\pi\)
0.980177 + 0.198123i \(0.0634844\pi\)
\(272\) −2.20408 + 1.60136i −0.133642 + 0.0970964i
\(273\) −2.35778 11.3474i −0.142699 0.686779i
\(274\) 4.36559i 0.263735i
\(275\) 9.28988 13.6333i 0.560201 0.822122i
\(276\) −2.52903 4.42705i −0.152230 0.266477i
\(277\) −8.82592 2.86771i −0.530298 0.172304i 0.0316157 0.999500i \(-0.489935\pi\)
−0.561914 + 0.827196i \(0.689935\pi\)
\(278\) −12.1741 16.7562i −0.730155 1.00497i
\(279\) −23.2007 + 10.0763i −1.38899 + 0.603252i
\(280\) 0.0496298 + 0.152745i 0.00296595 + 0.00912825i
\(281\) −4.04096 12.4368i −0.241064 0.741918i −0.996259 0.0864177i \(-0.972458\pi\)
0.755195 0.655500i \(-0.227542\pi\)
\(282\) −0.503712 + 4.59042i −0.0299956 + 0.273355i
\(283\) −8.51009 11.7131i −0.505873 0.696274i 0.477344 0.878717i \(-0.341600\pi\)
−0.983216 + 0.182443i \(0.941600\pi\)
\(284\) 10.0295 + 3.25877i 0.595139 + 0.193372i
\(285\) −1.42119 + 0.811879i −0.0841840 + 0.0480916i
\(286\) −6.21794 + 21.3039i −0.367675 + 1.25973i
\(287\) 5.49813i 0.324544i
\(288\) 1.98691 + 2.24771i 0.117080 + 0.132447i
\(289\) 7.74853 5.62964i 0.455796 0.331155i
\(290\) 0.597550 0.822457i 0.0350893 0.0482963i
\(291\) −13.2868 12.0740i −0.778885 0.707789i
\(292\) −0.0967077 + 0.0314222i −0.00565939 + 0.00183885i
\(293\) −6.56633 4.77072i −0.383609 0.278708i 0.379223 0.925305i \(-0.376191\pi\)
−0.762832 + 0.646597i \(0.776191\pi\)
\(294\) −0.711719 + 1.57907i −0.0415083 + 0.0920931i
\(295\) 0.716384 2.20480i 0.0417095 0.128369i
\(296\) −0.619544 −0.0360103
\(297\) −13.7738 + 10.3578i −0.799235 + 0.601018i
\(298\) −2.98726 −0.173047
\(299\) −6.08668 + 18.7329i −0.352002 + 1.08335i
\(300\) −3.54024 + 7.85461i −0.204396 + 0.453486i
\(301\) 1.95012 + 1.41684i 0.112403 + 0.0816655i
\(302\) −0.144007 + 0.0467906i −0.00828665 + 0.00269250i
\(303\) −15.1660 13.7817i −0.871265 0.791737i
\(304\) 3.45842 4.76011i 0.198354 0.273011i
\(305\) 1.04942 0.762447i 0.0600895 0.0436576i
\(306\) 5.41312 + 6.12362i 0.309447 + 0.350064i
\(307\) 20.9851i 1.19769i −0.800867 0.598843i \(-0.795627\pi\)
0.800867 0.598843i \(-0.204373\pi\)
\(308\) 2.62316 2.02954i 0.149468 0.115644i
\(309\) −1.63864 + 0.936103i −0.0932192 + 0.0532531i
\(310\) −1.28786 0.418451i −0.0731455 0.0237664i
\(311\) 4.45601 + 6.13317i 0.252677 + 0.347780i 0.916447 0.400157i \(-0.131044\pi\)
−0.663770 + 0.747937i \(0.731044\pi\)
\(312\) 1.26418 11.5207i 0.0715699 0.652229i
\(313\) −0.203328 0.625778i −0.0114928 0.0353710i 0.945146 0.326649i \(-0.105920\pi\)
−0.956638 + 0.291278i \(0.905920\pi\)
\(314\) 0.549663 + 1.69169i 0.0310193 + 0.0954676i
\(315\) 0.441936 0.191937i 0.0249003 0.0108144i
\(316\) 5.39112 + 7.42024i 0.303274 + 0.417421i
\(317\) 16.2965 + 5.29505i 0.915302 + 0.297400i 0.728538 0.685005i \(-0.240200\pi\)
0.186764 + 0.982405i \(0.440200\pi\)
\(318\) −2.22922 3.90224i −0.125008 0.218827i
\(319\) −20.1530 5.88202i −1.12835 0.329330i
\(320\) 0.160605i 0.00897812i
\(321\) −2.94094 14.1541i −0.164147 0.790003i
\(322\) 2.38144 1.73022i 0.132713 0.0964214i
\(323\) 9.42209 12.9684i 0.524259 0.721581i
\(324\) 6.14354 6.57700i 0.341308 0.365389i
\(325\) 31.6552 10.2854i 1.75592 0.570532i
\(326\) 13.9082 + 10.1049i 0.770305 + 0.559660i
\(327\) −1.20871 0.544789i −0.0668416 0.0301269i
\(328\) −1.69901 + 5.22903i −0.0938124 + 0.288725i
\(329\) −2.66619 −0.146992
\(330\) −0.919722 0.0729159i −0.0506290 0.00401389i
\(331\) 11.6127 0.638293 0.319147 0.947705i \(-0.396604\pi\)
0.319147 + 0.947705i \(0.396604\pi\)
\(332\) −4.39153 + 13.5157i −0.241017 + 0.741773i
\(333\) 0.177361 + 1.85015i 0.00971934 + 0.101388i
\(334\) 16.8406 + 12.2354i 0.921475 + 0.669491i
\(335\) −1.43383 + 0.465879i −0.0783383 + 0.0254537i
\(336\) −1.16484 + 1.28185i −0.0635474 + 0.0699306i
\(337\) 10.2525 14.1114i 0.558492 0.768698i −0.432642 0.901566i \(-0.642419\pi\)
0.991134 + 0.132868i \(0.0424186\pi\)
\(338\) −25.7062 + 18.6766i −1.39823 + 1.01587i
\(339\) −17.6435 + 3.66597i −0.958265 + 0.199108i
\(340\) 0.437552i 0.0237296i
\(341\) 0.843801 + 27.9512i 0.0456944 + 1.51364i
\(342\) −15.2052 8.96521i −0.822205 0.484783i
\(343\) −0.951057 0.309017i −0.0513522 0.0166853i
\(344\) 1.41684 + 1.95012i 0.0763911 + 0.105143i
\(345\) −0.813963 0.0893172i −0.0438223 0.00480868i
\(346\) −5.72685 17.6254i −0.307877 0.947549i
\(347\) 3.71644 + 11.4380i 0.199509 + 0.614025i 0.999894 + 0.0145394i \(0.00462821\pi\)
−0.800385 + 0.599486i \(0.795372\pi\)
\(348\) 10.8983 + 1.19588i 0.584208 + 0.0641059i
\(349\) 5.97931 + 8.22981i 0.320065 + 0.440532i 0.938487 0.345315i \(-0.112228\pi\)
−0.618422 + 0.785846i \(0.712228\pi\)
\(350\) −4.73075 1.53711i −0.252869 0.0821622i
\(351\) −34.7662 0.477122i −1.85568 0.0254669i
\(352\) 3.12194 1.11961i 0.166400 0.0596752i
\(353\) 9.39359i 0.499970i 0.968250 + 0.249985i \(0.0804257\pi\)
−0.968250 + 0.249985i \(0.919574\pi\)
\(354\) 24.4786 5.08616i 1.30102 0.270326i
\(355\) 1.37022 0.995521i 0.0727236 0.0528368i
\(356\) −8.87556 + 12.2162i −0.470404 + 0.647455i
\(357\) −3.17349 + 3.49226i −0.167959 + 0.184830i
\(358\) −17.3980 + 5.65297i −0.919515 + 0.298769i
\(359\) 17.8080 + 12.9382i 0.939869 + 0.682855i 0.948389 0.317109i \(-0.102712\pi\)
−0.00852040 + 0.999964i \(0.502712\pi\)
\(360\) 0.479618 0.0459777i 0.0252781 0.00242324i
\(361\) −4.82665 + 14.8549i −0.254034 + 0.781837i
\(362\) −0.716196 −0.0376424
\(363\) 4.99415 + 18.3864i 0.262125 + 0.965034i
\(364\) 6.69138 0.350724
\(365\) −0.00504658 + 0.0155318i −0.000264150 + 0.000812971i
\(366\) 12.7536 + 5.74830i 0.666639 + 0.300468i
\(367\) 13.6048 + 9.88448i 0.710166 + 0.515966i 0.883227 0.468945i \(-0.155366\pi\)
−0.173061 + 0.984911i \(0.555366\pi\)
\(368\) 2.79955 0.909630i 0.145937 0.0474178i
\(369\) 16.1019 + 3.57683i 0.838231 + 0.186202i
\(370\) −0.0584859 + 0.0804989i −0.00304054 + 0.00418494i
\(371\) 2.09913 1.52511i 0.108981 0.0791796i
\(372\) −2.97090 14.2983i −0.154034 0.741332i
\(373\) 11.6100i 0.601145i −0.953759 0.300572i \(-0.902822\pi\)
0.953759 0.300572i \(-0.0971777\pi\)
\(374\) 8.50536 3.05024i 0.439802 0.157724i
\(375\) 1.37629 + 2.40919i 0.0710713 + 0.124410i
\(376\) −2.53569 0.823897i −0.130768 0.0424892i
\(377\) −24.8960 34.2664i −1.28221 1.76481i
\(378\) 4.16147 + 3.11162i 0.214043 + 0.160044i
\(379\) 5.02873 + 15.4768i 0.258308 + 0.794992i 0.993160 + 0.116763i \(0.0372519\pi\)
−0.734851 + 0.678228i \(0.762748\pi\)
\(380\) −0.292013 0.898724i −0.0149800 0.0461036i
\(381\) −2.57647 + 23.4798i −0.131997 + 1.20291i
\(382\) 15.3041 + 21.0643i 0.783026 + 1.07774i
\(383\) 14.2826 + 4.64070i 0.729807 + 0.237129i 0.650270 0.759703i \(-0.274656\pi\)
0.0795372 + 0.996832i \(0.474656\pi\)
\(384\) −1.50395 + 0.859155i −0.0767479 + 0.0438436i
\(385\) −0.0160731 0.532426i −0.000819159 0.0271349i
\(386\) 2.50964i 0.127738i
\(387\) 5.41805 4.78941i 0.275415 0.243459i
\(388\) 8.38572 6.09258i 0.425720 0.309304i
\(389\) −1.76075 + 2.42346i −0.0892736 + 0.122875i −0.851318 0.524651i \(-0.824196\pi\)
0.762044 + 0.647525i \(0.224196\pi\)
\(390\) −1.37757 1.25183i −0.0697559 0.0633886i
\(391\) 7.62707 2.47819i 0.385718 0.125327i
\(392\) −0.809017 0.587785i −0.0408615 0.0296876i
\(393\) 5.31813 11.7992i 0.268264 0.595189i
\(394\) −2.20809 + 6.79580i −0.111242 + 0.342367i
\(395\) 1.47306 0.0741177
\(396\) −4.23723 9.00255i −0.212929 0.452395i
\(397\) 8.11214 0.407137 0.203568 0.979061i \(-0.434746\pi\)
0.203568 + 0.979061i \(0.434746\pi\)
\(398\) −4.00581 + 12.3286i −0.200793 + 0.617977i
\(399\) 4.18763 9.29096i 0.209644 0.465130i
\(400\) −4.02422 2.92376i −0.201211 0.146188i
\(401\) −30.8478 + 10.0231i −1.54047 + 0.500528i −0.951505 0.307633i \(-0.900463\pi\)
−0.588962 + 0.808161i \(0.700463\pi\)
\(402\) −12.0328 10.9345i −0.600142 0.545362i
\(403\) −33.1617 + 45.6431i −1.65190 + 2.27364i
\(404\) 9.57177 6.95430i 0.476213 0.345989i
\(405\) −0.274607 1.41912i −0.0136453 0.0705169i
\(406\) 6.32988i 0.314147i
\(407\) 1.97250 + 0.575709i 0.0977730 + 0.0285369i
\(408\) −4.09733 + 2.34067i −0.202848 + 0.115881i
\(409\) 24.0621 + 7.81825i 1.18979 + 0.386587i 0.835997 0.548735i \(-0.184890\pi\)
0.353797 + 0.935322i \(0.384890\pi\)
\(410\) 0.519031 + 0.714386i 0.0256331 + 0.0352810i
\(411\) 0.824774 7.51630i 0.0406831 0.370752i
\(412\) −0.336693 1.03624i −0.0165877 0.0510517i
\(413\) 4.46052 + 13.7281i 0.219488 + 0.675514i
\(414\) −3.51789 8.09993i −0.172895 0.398090i
\(415\) 1.34157 + 1.84651i 0.0658550 + 0.0906416i
\(416\) 6.36388 + 2.06775i 0.312015 + 0.101380i
\(417\) −17.7947 31.1495i −0.871410 1.52540i
\(418\) −15.4342 + 11.9415i −0.754912 + 0.584076i
\(419\) 3.94839i 0.192892i −0.995338 0.0964458i \(-0.969253\pi\)
0.995338 0.0964458i \(-0.0307475\pi\)
\(420\) 0.0565910 + 0.272360i 0.00276136 + 0.0132898i
\(421\) −21.4274 + 15.5679i −1.04431 + 0.758733i −0.971121 0.238586i \(-0.923316\pi\)
−0.0731846 + 0.997318i \(0.523316\pi\)
\(422\) 13.5905 18.7057i 0.661576 0.910582i
\(423\) −1.73450 + 7.80823i −0.0843342 + 0.379649i
\(424\) 2.46767 0.801796i 0.119841 0.0389387i
\(425\) −10.9635 7.96547i −0.531809 0.386382i
\(426\) 16.6522 + 7.50551i 0.806803 + 0.363643i
\(427\) −2.49582 + 7.68134i −0.120781 + 0.371726i
\(428\) 8.34639 0.403438
\(429\) −14.7304 + 35.5046i −0.711191 + 1.71418i
\(430\) 0.387136 0.0186694
\(431\) −11.3955 + 35.0716i −0.548900 + 1.68934i 0.162631 + 0.986687i \(0.448002\pi\)
−0.711531 + 0.702655i \(0.751998\pi\)
\(432\) 2.99625 + 4.24529i 0.144157 + 0.204252i
\(433\) −17.7907 12.9257i −0.854966 0.621169i 0.0715448 0.997437i \(-0.477207\pi\)
−0.926511 + 0.376268i \(0.877207\pi\)
\(434\) 8.01878 2.60546i 0.384914 0.125066i
\(435\) 1.18420 1.30314i 0.0567778 0.0624810i
\(436\) 0.449924 0.619267i 0.0215474 0.0296575i
\(437\) −14.0120 + 10.1803i −0.670284 + 0.486990i
\(438\) −0.172440 + 0.0358295i −0.00823949 + 0.00171200i
\(439\) 0.987382i 0.0471252i −0.999722 0.0235626i \(-0.992499\pi\)
0.999722 0.0235626i \(-0.00750090\pi\)
\(440\) 0.149242 0.511334i 0.00711484 0.0243769i
\(441\) −1.52371 + 2.58424i −0.0725574 + 0.123059i
\(442\) 17.3377 + 5.63335i 0.824669 + 0.267951i
\(443\) −5.42049 7.46066i −0.257535 0.354467i 0.660597 0.750740i \(-0.270303\pi\)
−0.918132 + 0.396274i \(0.870303\pi\)
\(444\) −1.06668 0.117048i −0.0506223 0.00555486i
\(445\) 0.749411 + 2.30645i 0.0355255 + 0.109336i
\(446\) 2.35051 + 7.23414i 0.111300 + 0.342547i
\(447\) −5.14322 0.564372i −0.243266 0.0266939i
\(448\) −0.587785 0.809017i −0.0277702 0.0382225i
\(449\) −28.6076 9.29517i −1.35008 0.438666i −0.457358 0.889283i \(-0.651204\pi\)
−0.892718 + 0.450617i \(0.851204\pi\)
\(450\) −7.57923 + 12.8546i −0.357288 + 0.605970i
\(451\) 10.2684 15.0693i 0.483518 0.709586i
\(452\) 10.4041i 0.489366i
\(453\) −0.256779 + 0.0533535i −0.0120645 + 0.00250677i
\(454\) 19.2651 13.9969i 0.904157 0.656909i
\(455\) 0.631676 0.869428i 0.0296134 0.0407594i
\(456\) 6.85373 7.54218i 0.320956 0.353195i
\(457\) −13.0274 + 4.23287i −0.609398 + 0.198005i −0.597427 0.801923i \(-0.703810\pi\)
−0.0119705 + 0.999928i \(0.503810\pi\)
\(458\) −11.1501 8.10103i −0.521010 0.378536i
\(459\) 8.16294 + 11.5658i 0.381014 + 0.539846i
\(460\) 0.146092 0.449624i 0.00681156 0.0209638i
\(461\) −2.00605 −0.0934310 −0.0467155 0.998908i \(-0.514875\pi\)
−0.0467155 + 0.998908i \(0.514875\pi\)
\(462\) 4.89977 2.99871i 0.227958 0.139513i
\(463\) −22.4838 −1.04491 −0.522456 0.852666i \(-0.674984\pi\)
−0.522456 + 0.852666i \(0.674984\pi\)
\(464\) −1.95604 + 6.02007i −0.0908069 + 0.279475i
\(465\) −2.13827 0.963764i −0.0991600 0.0446935i
\(466\) 0.843104 + 0.612551i 0.0390561 + 0.0283759i
\(467\) 14.7956 4.80739i 0.684659 0.222459i 0.0540251 0.998540i \(-0.482795\pi\)
0.630634 + 0.776080i \(0.282795\pi\)
\(468\) 4.35311 19.5965i 0.201222 0.905847i
\(469\) 5.51758 7.59430i 0.254778 0.350672i
\(470\) −0.346424 + 0.251692i −0.0159794 + 0.0116097i
\(471\) 0.626760 + 3.01646i 0.0288796 + 0.138991i
\(472\) 14.4345i 0.664404i
\(473\) −2.69879 7.52536i −0.124090 0.346016i
\(474\) 7.88010 + 13.7941i 0.361945 + 0.633582i
\(475\) 27.8349 + 9.04411i 1.27715 + 0.414972i
\(476\) −1.60136 2.20408i −0.0733980 0.101024i
\(477\) −3.10085 7.13970i −0.141978 0.326905i
\(478\) −6.59184 20.2876i −0.301504 0.927933i
\(479\) −7.65871 23.5711i −0.349935 1.07699i −0.958888 0.283784i \(-0.908410\pi\)
0.608953 0.793206i \(-0.291590\pi\)
\(480\) −0.0303426 + 0.276517i −0.00138494 + 0.0126212i
\(481\) 2.43673 + 3.35386i 0.111105 + 0.152923i
\(482\) 11.6296 + 3.77868i 0.529712 + 0.172114i
\(483\) 4.42705 2.52903i 0.201438 0.115075i
\(484\) −10.9800 + 0.663539i −0.499089 + 0.0301609i
\(485\) 1.66473i 0.0755914i
\(486\) 11.8200 10.1631i 0.536166 0.461006i
\(487\) 18.9050 13.7353i 0.856667 0.622405i −0.0703088 0.997525i \(-0.522398\pi\)
0.926976 + 0.375120i \(0.122398\pi\)
\(488\) −4.74733 + 6.53414i −0.214901 + 0.295787i
\(489\) 22.0369 + 20.0254i 0.996544 + 0.905581i
\(490\) −0.152745 + 0.0496298i −0.00690031 + 0.00224205i
\(491\) −11.4997 8.35505i −0.518976 0.377058i 0.297242 0.954802i \(-0.403933\pi\)
−0.816218 + 0.577744i \(0.803933\pi\)
\(492\) −3.91312 + 8.68191i −0.176417 + 0.391411i
\(493\) −5.32901 + 16.4010i −0.240007 + 0.738664i
\(494\) −39.3709 −1.77138
\(495\) −1.56973 0.299300i −0.0705539 0.0134525i
\(496\) 8.43144 0.378583
\(497\) −3.25877 + 10.0295i −0.146176 + 0.449883i
\(498\) −10.1145 + 22.4406i −0.453239 + 1.00559i
\(499\) 31.5546 + 22.9258i 1.41258 + 1.02630i 0.992941 + 0.118606i \(0.0378424\pi\)
0.419636 + 0.907692i \(0.362158\pi\)
\(500\) −1.52351 + 0.495018i −0.0681334 + 0.0221379i
\(501\) 26.6831 + 24.2475i 1.19211 + 1.08330i
\(502\) 0.436314 0.600534i 0.0194736 0.0268031i
\(503\) −11.0554 + 8.03224i −0.492937 + 0.358140i −0.806313 0.591489i \(-0.798540\pi\)
0.313376 + 0.949629i \(0.398540\pi\)
\(504\) −2.24771 + 1.98691i −0.100121 + 0.0885041i
\(505\) 1.90018i 0.0845569i
\(506\) −9.75846 + 0.294592i −0.433816 + 0.0130962i
\(507\) −47.7872 + 27.2993i −2.12230 + 1.21240i
\(508\) −12.9700 4.21421i −0.575451 0.186975i
\(509\) −0.328071 0.451551i −0.0145415 0.0200146i 0.801684 0.597748i \(-0.203938\pi\)
−0.816226 + 0.577733i \(0.803938\pi\)
\(510\) −0.0826650 + 0.753340i −0.00366047 + 0.0333584i
\(511\) −0.0314222 0.0967077i −0.00139004 0.00427810i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) −24.4853 18.3082i −1.08105 0.808328i
\(514\) −1.74642 2.40375i −0.0770314 0.106025i
\(515\) −0.166425 0.0540748i −0.00733357 0.00238282i
\(516\) 2.07097 + 3.62523i 0.0911695 + 0.159592i
\(517\) 7.30750 + 4.97940i 0.321384 + 0.218994i
\(518\) 0.619544i 0.0272212i
\(519\) −6.53010 31.4279i −0.286640 1.37953i
\(520\) 0.869428 0.631676i 0.0381269 0.0277008i
\(521\) 10.1785 14.0094i 0.445926 0.613765i −0.525590 0.850738i \(-0.676155\pi\)
0.971516 + 0.236973i \(0.0761553\pi\)
\(522\) 18.5378 + 4.11793i 0.811376 + 0.180237i
\(523\) 3.75620 1.22046i 0.164247 0.0533672i −0.225739 0.974188i \(-0.572480\pi\)
0.389986 + 0.920821i \(0.372480\pi\)
\(524\) 6.04517 + 4.39207i 0.264084 + 0.191868i
\(525\) −7.85461 3.54024i −0.342803 0.154509i
\(526\) −0.669016 + 2.05902i −0.0291705 + 0.0897776i
\(527\) 22.9705 1.00061
\(528\) 5.58661 1.33783i 0.243126 0.0582215i
\(529\) 14.3351 0.623264
\(530\) 0.128773 0.396322i 0.00559353 0.0172151i
\(531\) 43.1060 4.13228i 1.87064 0.179326i
\(532\) 4.76011 + 3.45842i 0.206377 + 0.149942i
\(533\) 34.9894 11.3687i 1.51556 0.492435i
\(534\) −17.5892 + 19.3559i −0.761157 + 0.837614i
\(535\) 0.787912 1.08447i 0.0340644 0.0468856i
\(536\) 7.59430 5.51758i 0.328024 0.238323i
\(537\) −31.0225 + 6.44586i −1.33872 + 0.278159i
\(538\) 1.42847i 0.0615859i
\(539\) 2.02954 + 2.62316i 0.0874185 + 0.112987i
\(540\) 0.834452 + 0.0114518i 0.0359091 + 0.000492808i
\(541\) −2.19061 0.711774i −0.0941819 0.0306015i 0.261547 0.965191i \(-0.415767\pi\)
−0.355729 + 0.934589i \(0.615767\pi\)
\(542\) 8.04765 + 11.0766i 0.345676 + 0.475783i
\(543\) −1.23309 0.135308i −0.0529168 0.00580663i
\(544\) −0.841882 2.59105i −0.0360954 0.111090i
\(545\) −0.0379894 0.116919i −0.00162729 0.00500828i
\(546\) 11.5207 + 1.26418i 0.493039 + 0.0541018i
\(547\) −10.3976 14.3110i −0.444568 0.611895i 0.526652 0.850081i \(-0.323447\pi\)
−0.971219 + 0.238186i \(0.923447\pi\)
\(548\) 4.15192 + 1.34904i 0.177361 + 0.0576281i
\(549\) 20.8720 + 12.3064i 0.890796 + 0.525225i
\(550\) 10.0954 + 13.0481i 0.430467 + 0.556374i
\(551\) 37.2439i 1.58664i
\(552\) 4.99189 1.03722i 0.212469 0.0441469i
\(553\) −7.42024 + 5.39112i −0.315541 + 0.229254i
\(554\) 5.45472 7.50777i 0.231749 0.318975i
\(555\) −0.115904 + 0.127547i −0.00491987 + 0.00541406i
\(556\) 19.6981 6.40031i 0.835387 0.271434i
\(557\) 19.5079 + 14.1733i 0.826575 + 0.600542i 0.918588 0.395216i \(-0.129330\pi\)
−0.0920130 + 0.995758i \(0.529330\pi\)
\(558\) −2.41373 25.1789i −0.102181 1.06591i
\(559\) 4.98427 15.3400i 0.210812 0.648813i
\(560\) −0.160605 −0.00678682
\(561\) 15.2201 3.64477i 0.642593 0.153882i
\(562\) 13.0768 0.551613
\(563\) 3.90298 12.0121i 0.164491 0.506251i −0.834507 0.550997i \(-0.814248\pi\)
0.998998 + 0.0447455i \(0.0142477\pi\)
\(564\) −4.21009 1.89758i −0.177277 0.0799023i
\(565\) −1.35183 0.982159i −0.0568717 0.0413197i
\(566\) 13.7696 4.47402i 0.578780 0.188057i
\(567\) 6.57700 + 6.14354i 0.276208 + 0.258004i
\(568\) −6.19855 + 8.53157i −0.260085 + 0.357977i
\(569\) −5.85782 + 4.25595i −0.245572 + 0.178419i −0.703762 0.710436i \(-0.748498\pi\)
0.458190 + 0.888854i \(0.348498\pi\)
\(570\) −0.332971 1.60252i −0.0139466 0.0671220i
\(571\) 23.6249i 0.988672i −0.869271 0.494336i \(-0.835411\pi\)
0.869271 0.494336i \(-0.164589\pi\)
\(572\) −18.3398 12.4969i −0.766825 0.522521i
\(573\) 22.3697 + 39.1581i 0.934509 + 1.63585i
\(574\) −5.22903 1.69901i −0.218255 0.0709155i
\(575\) 8.60647 + 11.8458i 0.358915 + 0.494004i
\(576\) −2.75168 + 1.19509i −0.114654 + 0.0497953i
\(577\) −7.52191 23.1501i −0.313141 0.963749i −0.976513 0.215459i \(-0.930875\pi\)
0.663372 0.748290i \(-0.269125\pi\)
\(578\) 2.95967 + 9.10894i 0.123106 + 0.378882i
\(579\) 0.474138 4.32090i 0.0197045 0.179570i
\(580\) 0.597550 + 0.822457i 0.0248119 + 0.0341507i
\(581\) −13.5157 4.39153i −0.560728 0.182191i
\(582\) 15.5889 8.90542i 0.646180 0.369141i
\(583\) −8.60162 + 0.259669i −0.356243 + 0.0107544i
\(584\) 0.101684i 0.00420773i
\(585\) −2.13528 2.41555i −0.0882829 0.0998706i
\(586\) 6.56633 4.77072i 0.271253 0.197077i
\(587\) 10.3759 14.2812i 0.428259 0.589447i −0.539294 0.842118i \(-0.681309\pi\)
0.967552 + 0.252670i \(0.0813088\pi\)
\(588\) −1.28185 1.16484i −0.0528626 0.0480374i
\(589\) −47.1811 + 15.3301i −1.94406 + 0.631664i
\(590\) 1.87552 + 1.36264i 0.0772138 + 0.0560991i
\(591\) −5.08561 + 11.2833i −0.209194 + 0.464132i
\(592\) 0.191450 0.589221i 0.00786853 0.0242169i
\(593\) 22.6256 0.929122 0.464561 0.885541i \(-0.346212\pi\)
0.464561 + 0.885541i \(0.346212\pi\)
\(594\) −5.59449 16.3004i −0.229545 0.668812i
\(595\) −0.437552 −0.0179379
\(596\) 0.923115 2.84105i 0.0378123 0.116374i
\(597\) −9.22606 + 20.4696i −0.377598 + 0.837764i
\(598\) −15.9351 11.5776i −0.651636 0.473442i
\(599\) −26.5826 + 8.63722i −1.08614 + 0.352907i −0.796753 0.604306i \(-0.793451\pi\)
−0.289384 + 0.957213i \(0.593451\pi\)
\(600\) −6.37618 5.79417i −0.260307 0.236546i
\(601\) −14.4751 + 19.9233i −0.590453 + 0.812688i −0.994793 0.101921i \(-0.967501\pi\)
0.404340 + 0.914609i \(0.367501\pi\)
\(602\) −1.95012 + 1.41684i −0.0794809 + 0.0577462i
\(603\) −18.6513 21.0994i −0.759539 0.859233i
\(604\) 0.151418i 0.00616109i
\(605\) −0.950310 + 1.48929i −0.0386356 + 0.0605484i
\(606\) 17.7937 10.1650i 0.722820 0.412924i
\(607\) 9.71031 + 3.15507i 0.394129 + 0.128060i 0.499375 0.866386i \(-0.333563\pi\)
−0.105246 + 0.994446i \(0.533563\pi\)
\(608\) 3.45842 + 4.76011i 0.140258 + 0.193048i
\(609\) −1.19588 + 10.8983i −0.0484595 + 0.441619i
\(610\) 0.400842 + 1.23367i 0.0162296 + 0.0499496i
\(611\) 5.51301 + 16.9673i 0.223032 + 0.686423i
\(612\) −7.49666 + 3.25588i −0.303034 + 0.131611i
\(613\) −19.0272 26.1887i −0.768501 1.05775i −0.996459 0.0840800i \(-0.973205\pi\)
0.227958 0.973671i \(-0.426795\pi\)
\(614\) 19.9581 + 6.48477i 0.805442 + 0.261704i
\(615\) 0.758659 + 1.32803i 0.0305921 + 0.0535513i
\(616\) 1.11961 + 3.12194i 0.0451102 + 0.125786i
\(617\) 1.78277i 0.0717717i −0.999356 0.0358859i \(-0.988575\pi\)
0.999356 0.0358859i \(-0.0114253\pi\)
\(618\) −0.383918 1.84771i −0.0154435 0.0743260i
\(619\) −8.02668 + 5.83173i −0.322620 + 0.234397i −0.737292 0.675574i \(-0.763896\pi\)
0.414673 + 0.909971i \(0.363896\pi\)
\(620\) 0.795941 1.09552i 0.0319658 0.0439971i
\(621\) −4.52651 14.6104i −0.181643 0.586295i
\(622\) −7.20997 + 2.34266i −0.289094 + 0.0939322i
\(623\) −12.2162 8.87556i −0.489430 0.355592i
\(624\) 10.5661 + 4.76238i 0.422984 + 0.190648i
\(625\) 7.60607 23.4091i 0.304243 0.936363i
\(626\) 0.657982 0.0262982
\(627\) −28.8294 + 17.6439i −1.15133 + 0.704628i
\(628\) −1.77875 −0.0709798
\(629\) 0.521583 1.60527i 0.0207969 0.0640062i
\(630\) 0.0459777 + 0.479618i 0.00183179 + 0.0191084i
\(631\) −37.9689 27.5860i −1.51152 1.09818i −0.965498 0.260411i \(-0.916142\pi\)
−0.546021 0.837771i \(-0.683858\pi\)
\(632\) −8.72301 + 2.83428i −0.346983 + 0.112742i
\(633\) 26.9330 29.6384i 1.07049 1.17802i
\(634\) −10.0718 + 13.8626i −0.400002 + 0.550555i
\(635\) −1.77195 + 1.28740i −0.0703177 + 0.0510888i
\(636\) 4.40012 0.914257i 0.174476 0.0362526i
\(637\) 6.69138i 0.265122i
\(638\) 11.8217 17.3490i 0.468027 0.686853i
\(639\) 27.2524 + 16.0684i 1.07809 + 0.635656i
\(640\) −0.152745 0.0496298i −0.00603777 0.00196179i
\(641\) −24.6324 33.9036i −0.972920 1.33911i −0.940558 0.339634i \(-0.889697\pi\)
−0.0323623 0.999476i \(-0.510303\pi\)
\(642\) 14.3701 + 1.57685i 0.567143 + 0.0622334i
\(643\) −3.48769 10.7340i −0.137541 0.423308i 0.858435 0.512922i \(-0.171437\pi\)
−0.995977 + 0.0896133i \(0.971437\pi\)
\(644\) 0.909630 + 2.79955i 0.0358445 + 0.110318i
\(645\) 0.666538 + 0.0731401i 0.0262449 + 0.00287989i
\(646\) 9.42209 + 12.9684i 0.370707 + 0.510235i
\(647\) 28.7627 + 9.34555i 1.13078 + 0.367412i 0.813871 0.581046i \(-0.197356\pi\)
0.316905 + 0.948457i \(0.397356\pi\)
\(648\) 4.35664 + 7.87526i 0.171145 + 0.309369i
\(649\) 13.4133 45.9565i 0.526517 1.80395i
\(650\) 33.2843i 1.30552i
\(651\) 14.2983 2.97090i 0.560394 0.116439i
\(652\) −13.9082 + 10.1049i −0.544688 + 0.395739i
\(653\) 5.11472 7.03980i 0.200154 0.275489i −0.697127 0.716947i \(-0.745539\pi\)
0.897282 + 0.441459i \(0.145539\pi\)
\(654\) 0.891636 0.981199i 0.0348657 0.0383679i
\(655\) 1.14135 0.370846i 0.0445961 0.0144901i
\(656\) −4.44808 3.23172i −0.173668 0.126177i
\(657\) −0.303661 + 0.0291099i −0.0118470 + 0.00113569i
\(658\) 0.823897 2.53569i 0.0321188 0.0988516i
\(659\) −1.04851 −0.0408442 −0.0204221 0.999791i \(-0.506501\pi\)
−0.0204221 + 0.999791i \(0.506501\pi\)
\(660\) 0.353557 0.852176i 0.0137622 0.0331709i
\(661\) −37.7527 −1.46841 −0.734206 0.678927i \(-0.762445\pi\)
−0.734206 + 0.678927i \(0.762445\pi\)
\(662\) −3.58853 + 11.0444i −0.139472 + 0.429251i
\(663\) 28.7863 + 12.9746i 1.11797 + 0.503891i
\(664\) −11.4972 8.35319i −0.446177 0.324167i
\(665\) 0.898724 0.292013i 0.0348510 0.0113238i
\(666\) −1.81441 0.403047i −0.0703068 0.0156178i
\(667\) 10.9521 15.0742i 0.424066 0.583677i
\(668\) −16.8406 + 12.2354i −0.651581 + 0.473402i
\(669\) 2.68020 + 12.8992i 0.103623 + 0.498712i
\(670\) 1.50761i 0.0582442i
\(671\) 21.1863 16.3919i 0.817889 0.632801i
\(672\) −0.859155 1.50395i −0.0331426 0.0580160i
\(673\) −34.2404 11.1254i −1.31987 0.428851i −0.437419 0.899258i \(-0.644107\pi\)
−0.882450 + 0.470407i \(0.844107\pi\)
\(674\) 10.2525 + 14.1114i 0.394913 + 0.543552i
\(675\) −15.4778 + 20.7000i −0.595742 + 0.796743i
\(676\) −9.81888 30.2194i −0.377649 1.16228i
\(677\) 8.43360 + 25.9559i 0.324129 + 0.997568i 0.971832 + 0.235675i \(0.0757299\pi\)
−0.647703 + 0.761893i \(0.724270\pi\)
\(678\) 1.96560 17.9128i 0.0754884 0.687938i
\(679\) 6.09258 + 8.38572i 0.233812 + 0.321814i
\(680\) −0.416136 0.135211i −0.0159581 0.00518510i
\(681\) 35.8135 20.4591i 1.37238 0.783993i
\(682\) −26.8439 7.83489i −1.02791 0.300013i
\(683\) 45.1710i 1.72842i −0.503131 0.864210i \(-0.667819\pi\)
0.503131 0.864210i \(-0.332181\pi\)
\(684\) 13.2251 11.6906i 0.505674 0.447003i
\(685\) 0.567232 0.412118i 0.0216728 0.0157462i
\(686\) 0.587785 0.809017i 0.0224417 0.0308884i
\(687\) −17.6668 16.0542i −0.674031 0.612507i
\(688\) −2.29250 + 0.744879i −0.0874008 + 0.0283982i
\(689\) −14.0461 10.2051i −0.535113 0.388782i
\(690\) 0.336474 0.746524i 0.0128093 0.0284197i
\(691\) 3.47116 10.6831i 0.132049 0.406406i −0.863070 0.505084i \(-0.831462\pi\)
0.995119 + 0.0986784i \(0.0314615\pi\)
\(692\) 18.5325 0.704499
\(693\) 9.00255 4.23723i 0.341979 0.160959i
\(694\) −12.0266 −0.456525
\(695\) 1.02793 3.16363i 0.0389914 0.120003i
\(696\) −4.50509 + 9.99531i −0.170765 + 0.378871i
\(697\) −12.1183 8.80445i −0.459013 0.333492i
\(698\) −9.67472 + 3.14351i −0.366194 + 0.118983i
\(699\) 1.33586 + 1.21392i 0.0505269 + 0.0459148i
\(700\) 2.92376 4.02422i 0.110508 0.152101i
\(701\) 24.7251 17.9638i 0.933852 0.678483i −0.0130806 0.999914i \(-0.504164\pi\)
0.946933 + 0.321431i \(0.104164\pi\)
\(702\) 11.1971 32.9171i 0.422607 1.24238i
\(703\) 3.64529i 0.137485i
\(704\) 0.100078 + 3.31511i 0.00377183 + 0.124943i
\(705\) −0.643996 + 0.367894i −0.0242543 + 0.0138557i
\(706\) −8.93383 2.90278i −0.336229 0.109247i
\(707\) 6.95430 + 9.57177i 0.261543 + 0.359983i
\(708\) −2.72706 + 24.8522i −0.102489 + 0.934003i
\(709\) −3.50974 10.8019i −0.131811 0.405673i 0.863269 0.504744i \(-0.168413\pi\)
−0.995080 + 0.0990706i \(0.968413\pi\)
\(710\) 0.523376 + 1.61079i 0.0196420 + 0.0604517i
\(711\) 10.9612 + 25.2382i 0.411078 + 0.946507i
\(712\) −8.87556 12.2162i −0.332626 0.457820i
\(713\) −23.6043 7.66949i −0.883987 0.287225i
\(714\) −2.34067 4.09733i −0.0875974 0.153339i
\(715\) −3.35506 + 1.20321i −0.125472 + 0.0449975i
\(716\) 18.2934i 0.683656i
\(717\) −7.51642 36.1748i −0.280706 1.35097i
\(718\) −17.8080 + 12.9382i −0.664587 + 0.482851i
\(719\) 9.17659 12.6305i 0.342229 0.471038i −0.602862 0.797846i \(-0.705973\pi\)
0.945091 + 0.326808i \(0.105973\pi\)
\(720\) −0.104483 + 0.470351i −0.00389384 + 0.0175290i
\(721\) 1.03624 0.336693i 0.0385914 0.0125391i
\(722\) −12.6363 9.18083i −0.470276 0.341675i
\(723\) 19.3089 + 8.70294i 0.718107 + 0.323666i
\(724\) 0.221317 0.681143i 0.00822517 0.0253145i
\(725\) −31.4861 −1.16936
\(726\) −19.0298 0.931978i −0.706260 0.0345889i
\(727\) −43.2823 −1.60525 −0.802626 0.596483i \(-0.796564\pi\)
−0.802626 + 0.596483i \(0.796564\pi\)
\(728\) −2.06775 + 6.36388i −0.0766359 + 0.235861i
\(729\) 22.2707 15.2648i 0.824843 0.565363i
\(730\) −0.0132121 0.00959917i −0.000489003 0.000355281i
\(731\) −6.24566 + 2.02934i −0.231004 + 0.0750578i
\(732\) −9.40802 + 10.3530i −0.347731 + 0.382659i
\(733\) −7.76379 + 10.6859i −0.286762 + 0.394694i −0.927959 0.372682i \(-0.878438\pi\)
0.641197 + 0.767376i \(0.278438\pi\)
\(734\) −13.6048 + 9.88448i −0.502163 + 0.364843i
\(735\) −0.272360 + 0.0565910i −0.0100461 + 0.00208739i
\(736\) 2.94363i 0.108503i
\(737\) −29.3058 + 10.5098i −1.07949 + 0.387134i
\(738\) −8.37753 + 14.2085i −0.308381 + 0.523022i
\(739\) −16.8990 5.49083i −0.621641 0.201983i −0.0187721 0.999824i \(-0.505976\pi\)
−0.602869 + 0.797840i \(0.705976\pi\)
\(740\) −0.0584859 0.0804989i −0.00214998 0.00295920i
\(741\) −67.7855 7.43819i −2.49016 0.273249i
\(742\) 0.801796 + 2.46767i 0.0294349 + 0.0905912i
\(743\) 6.86362 + 21.1240i 0.251802 + 0.774966i 0.994443 + 0.105277i \(0.0335728\pi\)
−0.742641 + 0.669689i \(0.766427\pi\)
\(744\) 14.5165 + 1.59292i 0.532202 + 0.0583993i
\(745\) −0.282002 0.388143i −0.0103318 0.0142204i
\(746\) 11.0418 + 3.58770i 0.404269 + 0.131355i
\(747\) −21.6538 + 36.7255i −0.792272 + 1.34371i
\(748\) 0.272651 + 9.03166i 0.00996911 + 0.330230i
\(749\) 8.34639i 0.304970i
\(750\) −2.71657 + 0.564450i −0.0991952 + 0.0206108i
\(751\) −5.60877 + 4.07501i −0.204667 + 0.148699i −0.685397 0.728169i \(-0.740371\pi\)
0.480731 + 0.876868i \(0.340371\pi\)
\(752\) 1.56714 2.15699i 0.0571479 0.0786573i
\(753\) 0.864665 0.951518i 0.0315101 0.0346753i
\(754\) 40.2826 13.0886i 1.46700 0.476659i
\(755\) −0.0196741 0.0142941i −0.000716013 0.000520214i
\(756\) −4.24529 + 2.99625i −0.154400 + 0.108972i
\(757\) −10.4463 + 32.1505i −0.379678 + 1.16853i 0.560590 + 0.828094i \(0.310575\pi\)
−0.940268 + 0.340436i \(0.889425\pi\)
\(758\) −16.2733 −0.591073
\(759\) −16.8569 1.33642i −0.611868 0.0485091i
\(760\) 0.944974 0.0342778
\(761\) −5.92539 + 18.2365i −0.214795 + 0.661072i 0.784373 + 0.620290i \(0.212985\pi\)
−0.999168 + 0.0407823i \(0.987015\pi\)
\(762\) −21.5345 9.70605i −0.780112 0.351613i
\(763\) 0.619267 + 0.449924i 0.0224190 + 0.0162883i
\(764\) −24.7626 + 8.04585i −0.895878 + 0.291088i
\(765\) −0.284651 + 1.28142i −0.0102916 + 0.0463298i
\(766\) −8.82714 + 12.1495i −0.318937 + 0.438980i
\(767\) 78.1406 56.7724i 2.82149 2.04993i
\(768\) −0.352360 1.69583i −0.0127147 0.0611930i
\(769\) 4.54196i 0.163787i −0.996641 0.0818936i \(-0.973903\pi\)
0.996641 0.0818936i \(-0.0260968\pi\)
\(770\) 0.511334 + 0.149242i 0.0184272 + 0.00537831i
\(771\) −2.55272 4.46851i −0.0919338 0.160930i
\(772\) 2.38681 + 0.775523i 0.0859033 + 0.0279117i
\(773\) −9.80576 13.4965i −0.352689 0.485434i