Properties

Label 230.2.j.a.179.1
Level $230$
Weight $2$
Character 230.179
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 179.1
Character \(\chi\) \(=\) 230.179
Dual form 230.2.j.a.9.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 + 0.959493i) q^{2} +(-1.95972 - 1.69811i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.0903172 + 2.23424i) q^{5} +(2.18144 - 1.40193i) q^{6} +(0.748675 - 0.341908i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.529991 + 3.68617i) q^{9} +O(q^{10})\) \(q+(-0.281733 + 0.959493i) q^{2} +(-1.95972 - 1.69811i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.0903172 + 2.23424i) q^{5} +(2.18144 - 1.40193i) q^{6} +(0.748675 - 0.341908i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.529991 + 3.68617i) q^{9} +(-2.11830 - 0.716118i) q^{10} +(4.65913 - 1.36805i) q^{11} +(0.730556 + 2.48804i) q^{12} +(1.40114 + 0.639880i) q^{13} +(0.117133 + 0.814675i) q^{14} +(3.97098 - 4.22513i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.11270 + 3.28743i) q^{17} +(-3.68617 - 0.529991i) q^{18} +(4.15438 + 2.66986i) q^{19} +(1.28390 - 1.83074i) q^{20} +(-2.04779 - 0.601286i) q^{21} +4.85583i q^{22} +(4.76216 + 0.567295i) q^{23} -2.59308 q^{24} +(-4.98369 - 0.403581i) q^{25} +(-1.00871 + 1.16411i) q^{26} +(1.01510 - 1.57953i) q^{27} +(-0.814675 - 0.117133i) q^{28} +(3.23027 - 2.07597i) q^{29} +(2.93522 + 5.00049i) q^{30} +(-5.44700 - 6.28618i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-11.4537 - 5.23073i) q^{33} +(-3.74949 + 1.10095i) q^{34} +(0.696288 + 1.70360i) q^{35} +(1.54704 - 3.38754i) q^{36} +(-4.74986 + 0.682927i) q^{37} +(-3.73214 + 3.23391i) q^{38} +(-1.65926 - 3.63328i) q^{39} +(1.39486 + 1.74767i) q^{40} +(0.536960 - 3.73464i) q^{41} +(1.15386 - 1.79544i) q^{42} +(0.999683 + 0.866230i) q^{43} +(-4.65913 - 1.36805i) q^{44} +(-8.28367 + 0.851205i) q^{45} +(-1.88597 + 4.40943i) q^{46} +6.16285i q^{47} +(0.730556 - 2.48804i) q^{48} +(-4.14041 + 4.77829i) q^{49} +(1.79130 - 4.66811i) q^{50} +(1.44210 - 10.0301i) q^{51} +(-0.832770 - 1.29582i) q^{52} +(5.78267 - 2.64086i) q^{53} +(1.22956 + 1.41899i) q^{54} +(2.63575 + 10.5332i) q^{55} +(0.341908 - 0.748675i) q^{56} +(-3.60772 - 12.2868i) q^{57} +(1.08181 + 3.68429i) q^{58} +(0.542072 - 1.18697i) q^{59} +(-5.62488 + 1.40753i) q^{60} +(8.65101 + 9.98380i) q^{61} +(7.56614 - 3.45534i) q^{62} +(1.65712 + 2.57853i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-1.55619 + 3.07270i) q^{65} +(8.24572 - 9.51607i) q^{66} +(4.59599 - 15.6525i) q^{67} -3.90778i q^{68} +(-8.36918 - 9.19840i) q^{69} +(-1.83076 + 0.188123i) q^{70} +(-9.62477 - 2.82609i) q^{71} +(2.81447 + 2.43875i) q^{72} +(-3.34358 + 5.20271i) q^{73} +(0.682927 - 4.74986i) q^{74} +(9.08131 + 9.25374i) q^{75} +(-2.05145 - 4.49206i) q^{76} +(3.02043 - 2.61722i) q^{77} +(3.95357 - 0.568438i) q^{78} +(-2.95556 + 6.47177i) q^{79} +(-2.06986 + 0.845983i) q^{80} +(6.04814 - 1.77590i) q^{81} +(3.43208 + 1.56738i) q^{82} +(11.8009 - 1.69671i) q^{83} +(1.39763 + 1.61295i) q^{84} +(-7.53574 + 4.42338i) q^{85} +(-1.11278 + 0.715143i) q^{86} +(-9.85565 - 1.41703i) q^{87} +(2.62526 - 4.08498i) q^{88} +(3.58733 - 4.14000i) q^{89} +(1.51705 - 8.18794i) q^{90} +1.26778 q^{91} +(-3.69948 - 3.05186i) q^{92} +21.5688i q^{93} +(-5.91321 - 1.73627i) q^{94} +(-6.34033 + 9.04077i) q^{95} +(2.18144 + 1.40193i) q^{96} +(-11.2508 - 1.61762i) q^{97} +(-3.41825 - 5.31890i) q^{98} +(7.51215 + 16.4493i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.281733 + 0.959493i −0.199215 + 0.678464i
\(3\) −1.95972 1.69811i −1.13145 0.980403i −0.131505 0.991316i \(-0.541981\pi\)
−0.999940 + 0.0109124i \(0.996526\pi\)
\(4\) −0.841254 0.540641i −0.420627 0.270320i
\(5\) −0.0903172 + 2.23424i −0.0403911 + 0.999184i
\(6\) 2.18144 1.40193i 0.890569 0.572334i
\(7\) 0.748675 0.341908i 0.282972 0.129229i −0.268873 0.963176i \(-0.586651\pi\)
0.551845 + 0.833946i \(0.313924\pi\)
\(8\) 0.755750 0.654861i 0.267198 0.231528i
\(9\) 0.529991 + 3.68617i 0.176664 + 1.22872i
\(10\) −2.11830 0.716118i −0.669864 0.226456i
\(11\) 4.65913 1.36805i 1.40478 0.412481i 0.510458 0.859902i \(-0.329476\pi\)
0.894323 + 0.447421i \(0.147658\pi\)
\(12\) 0.730556 + 2.48804i 0.210893 + 0.718237i
\(13\) 1.40114 + 0.639880i 0.388607 + 0.177471i 0.600131 0.799902i \(-0.295115\pi\)
−0.211524 + 0.977373i \(0.567843\pi\)
\(14\) 0.117133 + 0.814675i 0.0313050 + 0.217731i
\(15\) 3.97098 4.22513i 1.02530 1.09092i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 2.11270 + 3.28743i 0.512406 + 0.797320i 0.996999 0.0774206i \(-0.0246684\pi\)
−0.484592 + 0.874740i \(0.661032\pi\)
\(18\) −3.68617 0.529991i −0.868839 0.124920i
\(19\) 4.15438 + 2.66986i 0.953081 + 0.612508i 0.922075 0.387011i \(-0.126493\pi\)
0.0310058 + 0.999519i \(0.490129\pi\)
\(20\) 1.28390 1.83074i 0.287089 0.409365i
\(21\) −2.04779 0.601286i −0.446865 0.131211i
\(22\) 4.85583i 1.03527i
\(23\) 4.76216 + 0.567295i 0.992979 + 0.118289i
\(24\) −2.59308 −0.529311
\(25\) −4.98369 0.403581i −0.996737 0.0807162i
\(26\) −1.00871 + 1.16411i −0.197824 + 0.228301i
\(27\) 1.01510 1.57953i 0.195357 0.303981i
\(28\) −0.814675 0.117133i −0.153959 0.0221360i
\(29\) 3.23027 2.07597i 0.599846 0.385498i −0.205191 0.978722i \(-0.565782\pi\)
0.805037 + 0.593224i \(0.202145\pi\)
\(30\) 2.93522 + 5.00049i 0.535896 + 0.912960i
\(31\) −5.44700 6.28618i −0.978311 1.12903i −0.991629 0.129120i \(-0.958785\pi\)
0.0133182 0.999911i \(-0.495761\pi\)
\(32\) −0.989821 + 0.142315i −0.174977 + 0.0251579i
\(33\) −11.4537 5.23073i −1.99383 0.910552i
\(34\) −3.74949 + 1.10095i −0.643032 + 0.188811i
\(35\) 0.696288 + 1.70360i 0.117694 + 0.287961i
\(36\) 1.54704 3.38754i 0.257840 0.564590i
\(37\) −4.74986 + 0.682927i −0.780873 + 0.112273i −0.521212 0.853427i \(-0.674520\pi\)
−0.259661 + 0.965700i \(0.583611\pi\)
\(38\) −3.73214 + 3.23391i −0.605432 + 0.524610i
\(39\) −1.65926 3.63328i −0.265695 0.581790i
\(40\) 1.39486 + 1.74767i 0.220547 + 0.276331i
\(41\) 0.536960 3.73464i 0.0838590 0.583252i −0.903957 0.427624i \(-0.859351\pi\)
0.987816 0.155628i \(-0.0497402\pi\)
\(42\) 1.15386 1.79544i 0.178044 0.277042i
\(43\) 0.999683 + 0.866230i 0.152450 + 0.132099i 0.727746 0.685846i \(-0.240568\pi\)
−0.575296 + 0.817945i \(0.695113\pi\)
\(44\) −4.65913 1.36805i −0.702391 0.206241i
\(45\) −8.28367 + 0.851205i −1.23486 + 0.126890i
\(46\) −1.88597 + 4.40943i −0.278071 + 0.650136i
\(47\) 6.16285i 0.898944i 0.893295 + 0.449472i \(0.148388\pi\)
−0.893295 + 0.449472i \(0.851612\pi\)
\(48\) 0.730556 2.48804i 0.105447 0.359118i
\(49\) −4.14041 + 4.77829i −0.591488 + 0.682613i
\(50\) 1.79130 4.66811i 0.253328 0.660170i
\(51\) 1.44210 10.0301i 0.201935 1.40449i
\(52\) −0.832770 1.29582i −0.115484 0.179697i
\(53\) 5.78267 2.64086i 0.794311 0.362750i 0.0234273 0.999726i \(-0.492542\pi\)
0.770884 + 0.636976i \(0.219815\pi\)
\(54\) 1.22956 + 1.41899i 0.167322 + 0.193100i
\(55\) 2.63575 + 10.5332i 0.355404 + 1.42030i
\(56\) 0.341908 0.748675i 0.0456894 0.100046i
\(57\) −3.60772 12.2868i −0.477854 1.62742i
\(58\) 1.08181 + 3.68429i 0.142048 + 0.483771i
\(59\) 0.542072 1.18697i 0.0705718 0.154531i −0.871059 0.491179i \(-0.836566\pi\)
0.941630 + 0.336648i \(0.109293\pi\)
\(60\) −5.62488 + 1.40753i −0.726169 + 0.181711i
\(61\) 8.65101 + 9.98380i 1.10765 + 1.27829i 0.957121 + 0.289688i \(0.0935517\pi\)
0.150527 + 0.988606i \(0.451903\pi\)
\(62\) 7.56614 3.45534i 0.960901 0.438829i
\(63\) 1.65712 + 2.57853i 0.208778 + 0.324865i
\(64\) 0.142315 0.989821i 0.0177894 0.123728i
\(65\) −1.55619 + 3.07270i −0.193022 + 0.381122i
\(66\) 8.24572 9.51607i 1.01498 1.17135i
\(67\) 4.59599 15.6525i 0.561490 1.91226i 0.200480 0.979698i \(-0.435750\pi\)
0.361010 0.932562i \(-0.382432\pi\)
\(68\) 3.90778i 0.473888i
\(69\) −8.36918 9.19840i −1.00753 1.10736i
\(70\) −1.83076 + 0.188123i −0.218818 + 0.0224851i
\(71\) −9.62477 2.82609i −1.14225 0.335395i −0.344739 0.938699i \(-0.612032\pi\)
−0.797511 + 0.603304i \(0.793851\pi\)
\(72\) 2.81447 + 2.43875i 0.331688 + 0.287410i
\(73\) −3.34358 + 5.20271i −0.391336 + 0.608931i −0.979893 0.199525i \(-0.936060\pi\)
0.588556 + 0.808456i \(0.299697\pi\)
\(74\) 0.682927 4.74986i 0.0793887 0.552160i
\(75\) 9.08131 + 9.25374i 1.04862 + 1.06853i
\(76\) −2.05145 4.49206i −0.235318 0.515274i
\(77\) 3.02043 2.61722i 0.344210 0.298260i
\(78\) 3.95357 0.568438i 0.447654 0.0643629i
\(79\) −2.95556 + 6.47177i −0.332526 + 0.728131i −0.999862 0.0166262i \(-0.994707\pi\)
0.667335 + 0.744757i \(0.267435\pi\)
\(80\) −2.06986 + 0.845983i −0.231417 + 0.0945838i
\(81\) 6.04814 1.77590i 0.672016 0.197322i
\(82\) 3.43208 + 1.56738i 0.379010 + 0.173088i
\(83\) 11.8009 1.69671i 1.29531 0.186238i 0.540035 0.841643i \(-0.318411\pi\)
0.755278 + 0.655405i \(0.227502\pi\)
\(84\) 1.39763 + 1.61295i 0.152494 + 0.175988i
\(85\) −7.53574 + 4.42338i −0.817366 + 0.479783i
\(86\) −1.11278 + 0.715143i −0.119995 + 0.0771159i
\(87\) −9.85565 1.41703i −1.05664 0.151921i
\(88\) 2.62526 4.08498i 0.279854 0.435461i
\(89\) 3.58733 4.14000i 0.380256 0.438839i −0.533068 0.846072i \(-0.678961\pi\)
0.913324 + 0.407234i \(0.133506\pi\)
\(90\) 1.51705 8.18794i 0.159912 0.863084i
\(91\) 1.26778 0.132899
\(92\) −3.69948 3.05186i −0.385698 0.318178i
\(93\) 21.5688i 2.23658i
\(94\) −5.91321 1.73627i −0.609901 0.179083i
\(95\) −6.34033 + 9.04077i −0.650504 + 0.927563i
\(96\) 2.18144 + 1.40193i 0.222642 + 0.143084i
\(97\) −11.2508 1.61762i −1.14235 0.164245i −0.454943 0.890520i \(-0.650340\pi\)
−0.687403 + 0.726276i \(0.741250\pi\)
\(98\) −3.41825 5.31890i −0.345295 0.537290i
\(99\) 7.51215 + 16.4493i 0.755000 + 1.65322i
\(100\) 3.97435 + 3.03390i 0.397435 + 0.303390i
\(101\) 1.24825 + 8.68177i 0.124206 + 0.863868i 0.952709 + 0.303884i \(0.0982837\pi\)
−0.828503 + 0.559984i \(0.810807\pi\)
\(102\) 9.21748 + 4.20948i 0.912666 + 0.416801i
\(103\) −0.711708 2.42386i −0.0701267 0.238830i 0.916970 0.398957i \(-0.130628\pi\)
−0.987096 + 0.160127i \(0.948810\pi\)
\(104\) 1.47794 0.433964i 0.144924 0.0425536i
\(105\) 1.52837 4.52096i 0.149154 0.441200i
\(106\) 0.904718 + 6.29245i 0.0878739 + 0.611177i
\(107\) −10.6370 + 9.21698i −1.02831 + 0.891039i −0.994110 0.108376i \(-0.965435\pi\)
−0.0342037 + 0.999415i \(0.510889\pi\)
\(108\) −1.70792 + 0.779980i −0.164345 + 0.0750536i
\(109\) −0.000631598 0 0.000405903i −6.04961e−5 0 3.88785e-5i −0.540671 0.841234i \(-0.681830\pi\)
0.540611 + 0.841273i \(0.318193\pi\)
\(110\) −10.8491 0.438565i −1.03442 0.0418155i
\(111\) 10.4681 + 6.72743i 0.993587 + 0.638540i
\(112\) 0.622021 + 0.538985i 0.0587755 + 0.0509293i
\(113\) −1.28201 + 4.36614i −0.120602 + 0.410732i −0.997558 0.0698376i \(-0.977752\pi\)
0.876957 + 0.480570i \(0.159570\pi\)
\(114\) 12.8055 1.19934
\(115\) −1.69758 + 10.5886i −0.158300 + 0.987391i
\(116\) −3.83983 −0.356519
\(117\) −1.61611 + 5.50398i −0.149410 + 0.508843i
\(118\) 0.986172 + 0.854523i 0.0907845 + 0.0786652i
\(119\) 2.70573 + 1.73887i 0.248034 + 0.159402i
\(120\) 0.234200 5.79358i 0.0213794 0.528879i
\(121\) 10.5822 6.80076i 0.962018 0.618251i
\(122\) −12.0167 + 5.48782i −1.08794 + 0.496844i
\(123\) −7.39411 + 6.40703i −0.666704 + 0.577702i
\(124\) 1.18375 + 8.23314i 0.106304 + 0.739358i
\(125\) 1.35181 11.0983i 0.120910 0.992664i
\(126\) −2.94095 + 0.863541i −0.262001 + 0.0769304i
\(127\) −5.13644 17.4931i −0.455785 1.55226i −0.792027 0.610487i \(-0.790974\pi\)
0.336241 0.941776i \(-0.390844\pi\)
\(128\) 0.909632 + 0.415415i 0.0804009 + 0.0367178i
\(129\) −0.488147 3.39514i −0.0429790 0.298925i
\(130\) −2.50980 2.35884i −0.220124 0.206884i
\(131\) −8.14822 17.8421i −0.711914 1.55887i −0.824901 0.565277i \(-0.808769\pi\)
0.112988 0.993596i \(-0.463958\pi\)
\(132\) 6.80751 + 10.5927i 0.592518 + 0.921976i
\(133\) 4.02313 + 0.578438i 0.348849 + 0.0501570i
\(134\) 13.7236 + 8.81965i 1.18554 + 0.761902i
\(135\) 3.43738 + 2.41065i 0.295842 + 0.207475i
\(136\) 3.74949 + 1.10095i 0.321516 + 0.0944056i
\(137\) 17.6600i 1.50880i −0.656416 0.754399i \(-0.727928\pi\)
0.656416 0.754399i \(-0.272072\pi\)
\(138\) 11.1837 5.43868i 0.952018 0.462971i
\(139\) 0.370257 0.0314048 0.0157024 0.999877i \(-0.495002\pi\)
0.0157024 + 0.999877i \(0.495002\pi\)
\(140\) 0.335282 1.80960i 0.0283365 0.152939i
\(141\) 10.4652 12.0775i 0.881327 1.01711i
\(142\) 5.42322 8.43870i 0.455107 0.708160i
\(143\) 7.40349 + 1.06446i 0.619111 + 0.0890148i
\(144\) −3.13289 + 2.01339i −0.261074 + 0.167782i
\(145\) 4.34647 + 7.40471i 0.360955 + 0.614927i
\(146\) −4.04997 4.67392i −0.335178 0.386816i
\(147\) 16.2281 2.33325i 1.33847 0.192443i
\(148\) 4.36506 + 1.99345i 0.358805 + 0.163861i
\(149\) −0.922676 + 0.270922i −0.0755886 + 0.0221948i −0.319308 0.947651i \(-0.603451\pi\)
0.243720 + 0.969846i \(0.421632\pi\)
\(150\) −11.4374 + 6.10637i −0.933860 + 0.498583i
\(151\) −8.48941 + 18.5892i −0.690859 + 1.51277i 0.159855 + 0.987140i \(0.448897\pi\)
−0.850714 + 0.525629i \(0.823830\pi\)
\(152\) 4.88806 0.702797i 0.396474 0.0570043i
\(153\) −10.9983 + 9.53010i −0.889162 + 0.770463i
\(154\) 1.66025 + 3.63544i 0.133787 + 0.292952i
\(155\) 14.5368 11.6022i 1.16762 0.931910i
\(156\) −0.568438 + 3.95357i −0.0455114 + 0.316539i
\(157\) −10.4562 + 16.2702i −0.834498 + 1.29850i 0.117708 + 0.993048i \(0.462445\pi\)
−0.952206 + 0.305457i \(0.901191\pi\)
\(158\) −5.37694 4.65915i −0.427766 0.370662i
\(159\) −15.8169 4.64426i −1.25436 0.368314i
\(160\) −0.228568 2.22436i −0.0180699 0.175851i
\(161\) 3.75927 1.20350i 0.296272 0.0948493i
\(162\) 6.30348i 0.495248i
\(163\) 5.64839 19.2366i 0.442416 1.50673i −0.372987 0.927837i \(-0.621666\pi\)
0.815403 0.578894i \(-0.196515\pi\)
\(164\) −2.47082 + 2.85147i −0.192938 + 0.222663i
\(165\) 12.7212 25.1179i 0.990342 1.95543i
\(166\) −1.69671 + 11.8009i −0.131690 + 0.915924i
\(167\) 6.42298 + 9.99436i 0.497025 + 0.773387i 0.995624 0.0934462i \(-0.0297883\pi\)
−0.498599 + 0.866833i \(0.666152\pi\)
\(168\) −1.94138 + 0.886596i −0.149780 + 0.0684024i
\(169\) −6.95944 8.03162i −0.535341 0.617817i
\(170\) −2.12114 8.47670i −0.162684 0.650133i
\(171\) −7.63977 + 16.7288i −0.584228 + 1.27928i
\(172\) −0.372667 1.26919i −0.0284156 0.0967747i
\(173\) 1.47201 + 5.01320i 0.111915 + 0.381147i 0.996334 0.0855462i \(-0.0272635\pi\)
−0.884419 + 0.466693i \(0.845445\pi\)
\(174\) 4.13629 9.05720i 0.313571 0.686625i
\(175\) −3.86915 + 1.40181i −0.292480 + 0.105967i
\(176\) 3.17989 + 3.66979i 0.239693 + 0.276621i
\(177\) −3.07792 + 1.40564i −0.231350 + 0.105654i
\(178\) 2.96163 + 4.60839i 0.221984 + 0.345413i
\(179\) −0.489136 + 3.40201i −0.0365597 + 0.254278i −0.999902 0.0139968i \(-0.995545\pi\)
0.963342 + 0.268275i \(0.0864536\pi\)
\(180\) 7.42886 + 3.76241i 0.553715 + 0.280434i
\(181\) −2.33877 + 2.69908i −0.173839 + 0.200621i −0.835983 0.548756i \(-0.815102\pi\)
0.662143 + 0.749377i \(0.269647\pi\)
\(182\) −0.357175 + 1.21643i −0.0264756 + 0.0901675i
\(183\) 34.2558i 2.53226i
\(184\) 3.97050 2.68982i 0.292709 0.198296i
\(185\) −1.09683 10.6740i −0.0806406 0.784770i
\(186\) −20.6951 6.07662i −1.51744 0.445559i
\(187\) 14.3407 + 12.4263i 1.04870 + 0.908702i
\(188\) 3.33189 5.18452i 0.243003 0.378120i
\(189\) 0.219927 1.52963i 0.0159974 0.111264i
\(190\) −6.88828 8.63058i −0.499728 0.626128i
\(191\) −2.15349 4.71548i −0.155821 0.341200i 0.815580 0.578644i \(-0.196418\pi\)
−0.971401 + 0.237444i \(0.923691\pi\)
\(192\) −1.95972 + 1.69811i −0.141431 + 0.122550i
\(193\) 16.4760 2.36889i 1.18597 0.170516i 0.479033 0.877797i \(-0.340987\pi\)
0.706933 + 0.707281i \(0.250078\pi\)
\(194\) 4.72182 10.3393i 0.339007 0.742321i
\(195\) 8.26748 3.37905i 0.592047 0.241979i
\(196\) 6.06648 1.78128i 0.433320 0.127234i
\(197\) 0.639181 + 0.291904i 0.0455398 + 0.0207973i 0.438055 0.898948i \(-0.355668\pi\)
−0.392515 + 0.919746i \(0.628395\pi\)
\(198\) −17.8994 + 2.57355i −1.27206 + 0.182894i
\(199\) −16.5808 19.1353i −1.17538 1.35646i −0.921097 0.389333i \(-0.872706\pi\)
−0.254284 0.967130i \(-0.581840\pi\)
\(200\) −4.03071 + 2.95861i −0.285014 + 0.209206i
\(201\) −35.5865 + 22.8701i −2.51008 + 1.61313i
\(202\) −8.68177 1.24825i −0.610847 0.0878266i
\(203\) 1.70863 2.65868i 0.119922 0.186603i
\(204\) −6.63583 + 7.65816i −0.464601 + 0.536178i
\(205\) 8.29559 + 1.53700i 0.579389 + 0.107349i
\(206\) 2.52618 0.176008
\(207\) 0.432758 + 17.8548i 0.0300788 + 1.24099i
\(208\) 1.54034i 0.106803i
\(209\) 23.0083 + 6.75585i 1.59152 + 0.467312i
\(210\) 3.90723 + 2.74016i 0.269625 + 0.189089i
\(211\) −3.12062 2.00550i −0.214832 0.138064i 0.428799 0.903400i \(-0.358937\pi\)
−0.643632 + 0.765335i \(0.722573\pi\)
\(212\) −6.29245 0.904718i −0.432167 0.0621363i
\(213\) 14.0629 + 21.8822i 0.963571 + 1.49935i
\(214\) −5.84685 12.8028i −0.399682 0.875182i
\(215\) −2.02566 + 2.15530i −0.138149 + 0.146990i
\(216\) −0.267209 1.85848i −0.0181813 0.126454i
\(217\) −6.22733 2.84393i −0.422739 0.193058i
\(218\) −0.000211520 0 0.000720370i −1.43259e−5 0 4.87896e-5i
\(219\) 15.3873 4.51811i 1.03977 0.305305i
\(220\) 3.47735 10.2861i 0.234443 0.693487i
\(221\) 0.856636 + 5.95804i 0.0576236 + 0.400781i
\(222\) −9.40413 + 8.14872i −0.631164 + 0.546906i
\(223\) −14.6384 + 6.68515i −0.980262 + 0.447670i −0.840084 0.542456i \(-0.817495\pi\)
−0.140177 + 0.990126i \(0.544767\pi\)
\(224\) −0.692396 + 0.444976i −0.0462626 + 0.0297312i
\(225\) −1.15364 18.5846i −0.0769095 1.23897i
\(226\) −3.82810 2.46017i −0.254641 0.163648i
\(227\) −2.71777 2.35496i −0.180385 0.156304i 0.559988 0.828501i \(-0.310806\pi\)
−0.740373 + 0.672196i \(0.765351\pi\)
\(228\) −3.60772 + 12.2868i −0.238927 + 0.813711i
\(229\) −16.9260 −1.11850 −0.559251 0.828998i \(-0.688911\pi\)
−0.559251 + 0.828998i \(0.688911\pi\)
\(230\) −9.68141 4.61197i −0.638374 0.304104i
\(231\) −10.3635 −0.681869
\(232\) 1.08181 3.68429i 0.0710240 0.241885i
\(233\) −17.4851 15.1509i −1.14548 0.992568i −0.999995 0.00320806i \(-0.998979\pi\)
−0.145490 0.989360i \(-0.546476\pi\)
\(234\) −4.82572 3.10130i −0.315467 0.202738i
\(235\) −13.7693 0.556611i −0.898210 0.0363093i
\(236\) −1.09775 + 0.705478i −0.0714572 + 0.0459227i
\(237\) 16.7818 7.66401i 1.09010 0.497831i
\(238\) −2.43072 + 2.10623i −0.157560 + 0.136527i
\(239\) 1.86242 + 12.9534i 0.120470 + 0.837888i 0.957025 + 0.290005i \(0.0936570\pi\)
−0.836555 + 0.547883i \(0.815434\pi\)
\(240\) 5.49291 + 1.85695i 0.354566 + 0.119866i
\(241\) 0.584949 0.171757i 0.0376799 0.0110638i −0.262838 0.964840i \(-0.584659\pi\)
0.300518 + 0.953776i \(0.402840\pi\)
\(242\) 3.54394 + 12.0695i 0.227813 + 0.775859i
\(243\) −19.9921 9.13008i −1.28249 0.585695i
\(244\) −1.88004 13.0760i −0.120357 0.837105i
\(245\) −10.3019 9.68225i −0.658165 0.618576i
\(246\) −4.06434 8.89966i −0.259133 0.567422i
\(247\) 4.11249 + 6.39916i 0.261671 + 0.407169i
\(248\) −8.23314 1.18375i −0.522805 0.0751680i
\(249\) −26.0076 16.7141i −1.64816 1.05921i
\(250\) 10.2679 + 4.42381i 0.649399 + 0.279786i
\(251\) −10.6634 3.13106i −0.673068 0.197630i −0.0726991 0.997354i \(-0.523161\pi\)
−0.600369 + 0.799723i \(0.704979\pi\)
\(252\) 3.06511i 0.193084i
\(253\) 22.9636 3.87175i 1.44371 0.243415i
\(254\) 18.2316 1.14395
\(255\) 22.2793 + 4.12790i 1.39519 + 0.258499i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −4.48404 + 6.97731i −0.279707 + 0.435233i −0.952473 0.304623i \(-0.901470\pi\)
0.672766 + 0.739855i \(0.265106\pi\)
\(258\) 3.39514 + 0.488147i 0.211372 + 0.0303907i
\(259\) −3.32260 + 2.13531i −0.206456 + 0.132682i
\(260\) 2.97038 1.74358i 0.184215 0.108132i
\(261\) 9.36439 + 10.8071i 0.579641 + 0.668942i
\(262\) 19.4150 2.79146i 1.19946 0.172457i
\(263\) −3.66223 1.67248i −0.225823 0.103130i 0.299291 0.954162i \(-0.403250\pi\)
−0.525114 + 0.851032i \(0.675977\pi\)
\(264\) −12.0815 + 3.54745i −0.743566 + 0.218331i
\(265\) 5.37804 + 13.1584i 0.330371 + 0.808315i
\(266\) −1.68845 + 3.69720i −0.103526 + 0.226690i
\(267\) −14.0603 + 2.02157i −0.860478 + 0.123718i
\(268\) −12.3288 + 10.6830i −0.753101 + 0.652565i
\(269\) 6.96519 + 15.2516i 0.424675 + 0.929909i 0.994161 + 0.107908i \(0.0344151\pi\)
−0.569486 + 0.822001i \(0.692858\pi\)
\(270\) −3.28142 + 2.61898i −0.199701 + 0.159386i
\(271\) 1.43396 9.97339i 0.0871067 0.605840i −0.898777 0.438407i \(-0.855543\pi\)
0.985883 0.167433i \(-0.0535479\pi\)
\(272\) −2.11270 + 3.28743i −0.128102 + 0.199330i
\(273\) −2.48449 2.15283i −0.150368 0.130295i
\(274\) 16.9447 + 4.97541i 1.02367 + 0.300575i
\(275\) −23.7718 + 4.93757i −1.43349 + 0.297747i
\(276\) 2.06757 + 12.2629i 0.124453 + 0.738140i
\(277\) 20.5207i 1.23297i −0.787367 0.616485i \(-0.788556\pi\)
0.787367 0.616485i \(-0.211444\pi\)
\(278\) −0.104313 + 0.355259i −0.00625630 + 0.0213070i
\(279\) 20.2851 23.4102i 1.21444 1.40153i
\(280\) 1.64184 + 0.831524i 0.0981188 + 0.0496931i
\(281\) −3.52636 + 24.5264i −0.210365 + 1.46312i 0.561575 + 0.827426i \(0.310196\pi\)
−0.771940 + 0.635695i \(0.780713\pi\)
\(282\) 8.63986 + 13.4439i 0.514496 + 0.800571i
\(283\) 8.67802 3.96312i 0.515855 0.235583i −0.140438 0.990090i \(-0.544851\pi\)
0.656293 + 0.754506i \(0.272124\pi\)
\(284\) 6.56897 + 7.58100i 0.389797 + 0.449850i
\(285\) 27.7775 6.95082i 1.64540 0.411731i
\(286\) −3.10715 + 6.80371i −0.183730 + 0.402312i
\(287\) −0.874895 2.97962i −0.0516434 0.175881i
\(288\) −1.04919 3.57323i −0.0618243 0.210554i
\(289\) 0.718363 1.57300i 0.0422566 0.0925291i
\(290\) −8.32930 + 2.08426i −0.489114 + 0.122392i
\(291\) 19.3015 + 22.2752i 1.13148 + 1.30579i
\(292\) 5.62560 2.56912i 0.329213 0.150347i
\(293\) 9.35142 + 14.5511i 0.546316 + 0.850084i 0.999138 0.0415169i \(-0.0132190\pi\)
−0.452822 + 0.891601i \(0.649583\pi\)
\(294\) −2.33325 + 16.2281i −0.136078 + 0.946442i
\(295\) 2.60303 + 1.31832i 0.151554 + 0.0767558i
\(296\) −3.14248 + 3.62662i −0.182653 + 0.210793i
\(297\) 2.56863 8.74796i 0.149047 0.507608i
\(298\) 0.961629i 0.0557057i
\(299\) 6.30946 + 3.84207i 0.364886 + 0.222193i
\(300\) −2.63673 12.6945i −0.152232 0.732916i
\(301\) 1.04461 + 0.306725i 0.0602102 + 0.0176793i
\(302\) −15.4445 13.3827i −0.888730 0.770089i
\(303\) 12.2964 19.1335i 0.706407 1.09919i
\(304\) −0.702797 + 4.88806i −0.0403082 + 0.280349i
\(305\) −23.0876 + 18.4268i −1.32199 + 1.05511i
\(306\) −6.04548 13.2378i −0.345597 0.756752i
\(307\) 7.44626 6.45222i 0.424980 0.368248i −0.415953 0.909386i \(-0.636552\pi\)
0.840933 + 0.541139i \(0.182007\pi\)
\(308\) −3.95592 + 0.568776i −0.225410 + 0.0324090i
\(309\) −2.72122 + 5.95864i −0.154805 + 0.338975i
\(310\) 7.03672 + 17.2167i 0.399659 + 0.977842i
\(311\) 8.06552 2.36825i 0.457354 0.134291i −0.0449372 0.998990i \(-0.514309\pi\)
0.502291 + 0.864699i \(0.332491\pi\)
\(312\) −3.63328 1.65926i −0.205694 0.0939372i
\(313\) −18.7663 + 2.69819i −1.06074 + 0.152511i −0.650529 0.759481i \(-0.725453\pi\)
−0.410207 + 0.911992i \(0.634544\pi\)
\(314\) −12.6653 14.6165i −0.714744 0.824859i
\(315\) −5.91074 + 3.46953i −0.333033 + 0.195486i
\(316\) 5.98528 3.84650i 0.336698 0.216383i
\(317\) 18.9449 + 2.72386i 1.06405 + 0.152987i 0.652035 0.758189i \(-0.273916\pi\)
0.412016 + 0.911177i \(0.364825\pi\)
\(318\) 8.91226 13.8678i 0.499775 0.777665i
\(319\) 12.2102 14.0914i 0.683642 0.788965i
\(320\) 2.19865 + 0.407364i 0.122908 + 0.0227723i
\(321\) 36.4969 2.03706
\(322\) 0.0956431 + 3.94606i 0.00532998 + 0.219905i
\(323\) 19.2979i 1.07376i
\(324\) −6.04814 1.77590i −0.336008 0.0986609i
\(325\) −6.72461 3.75444i −0.373014 0.208259i
\(326\) 16.8661 + 10.8392i 0.934126 + 0.600327i
\(327\) 0.00192702 0.000277064i 0.000106565 1.53217e-5i
\(328\) −2.03986 3.17408i −0.112632 0.175259i
\(329\) 2.10713 + 4.61397i 0.116170 + 0.254376i
\(330\) 20.5165 + 19.2824i 1.12940 + 1.06146i
\(331\) −4.43315 30.8332i −0.243668 1.69475i −0.633404 0.773821i \(-0.718343\pi\)
0.389736 0.920927i \(-0.372566\pi\)
\(332\) −10.8448 4.95266i −0.595187 0.271813i
\(333\) −5.03477 17.1469i −0.275904 0.939642i
\(334\) −11.3991 + 3.34707i −0.623730 + 0.183144i
\(335\) 34.5564 + 11.6823i 1.88802 + 0.638270i
\(336\) −0.303734 2.11252i −0.0165701 0.115247i
\(337\) 3.40702 2.95220i 0.185592 0.160816i −0.557109 0.830439i \(-0.688090\pi\)
0.742702 + 0.669623i \(0.233544\pi\)
\(338\) 9.66698 4.41476i 0.525814 0.240131i
\(339\) 9.92657 6.37942i 0.539137 0.346483i
\(340\) 8.73093 + 0.352939i 0.473501 + 0.0191408i
\(341\) −33.9781 21.8364i −1.84002 1.18251i
\(342\) −13.8988 12.0433i −0.751559 0.651230i
\(343\) −3.08925 + 10.5210i −0.166804 + 0.568081i
\(344\) 1.32277 0.0713190
\(345\) 21.3074 17.8680i 1.14715 0.961981i
\(346\) −5.22484 −0.280889
\(347\) 0.684336 2.33063i 0.0367371 0.125115i −0.939083 0.343691i \(-0.888323\pi\)
0.975820 + 0.218576i \(0.0701410\pi\)
\(348\) 7.52500 + 6.52045i 0.403382 + 0.349533i
\(349\) 23.8539 + 15.3300i 1.27687 + 0.820595i 0.990499 0.137523i \(-0.0439141\pi\)
0.286373 + 0.958118i \(0.407550\pi\)
\(350\) −0.254965 4.10736i −0.0136284 0.219547i
\(351\) 2.43301 1.56360i 0.129865 0.0834590i
\(352\) −4.41702 + 2.01718i −0.235428 + 0.107516i
\(353\) −5.93958 + 5.14667i −0.316132 + 0.273930i −0.798443 0.602070i \(-0.794343\pi\)
0.482312 + 0.876000i \(0.339797\pi\)
\(354\) −0.481550 3.34925i −0.0255941 0.178011i
\(355\) 7.18345 21.2488i 0.381258 1.12777i
\(356\) −5.25610 + 1.54333i −0.278573 + 0.0817964i
\(357\) −2.34969 8.00231i −0.124359 0.423527i
\(358\) −3.12640 1.42778i −0.165235 0.0754605i
\(359\) −0.576914 4.01253i −0.0304484 0.211773i 0.968917 0.247385i \(-0.0795711\pi\)
−0.999366 + 0.0356117i \(0.988662\pi\)
\(360\) −5.70296 + 6.06795i −0.300572 + 0.319809i
\(361\) 2.23786 + 4.90023i 0.117782 + 0.257907i
\(362\) −1.93084 3.00445i −0.101483 0.157911i
\(363\) −32.2866 4.64211i −1.69461 0.243648i
\(364\) −1.06652 0.685413i −0.0559011 0.0359254i
\(365\) −11.3221 7.94027i −0.592628 0.415613i
\(366\) 32.8682 + 9.65098i 1.71805 + 0.504465i
\(367\) 0.00287537i 0.000150093i 1.00000 7.50466e-5i \(2.38881e-5\pi\)
−1.00000 7.50466e-5i \(0.999976\pi\)
\(368\) 1.46224 + 4.56748i 0.0762247 + 0.238096i
\(369\) 14.0511 0.731471
\(370\) 10.5507 + 1.95482i 0.548503 + 0.101626i
\(371\) 3.42641 3.95429i 0.177890 0.205296i
\(372\) 11.6609 18.1448i 0.604592 0.940764i
\(373\) −5.56203 0.799699i −0.287991 0.0414069i −0.00319464 0.999995i \(-0.501017\pi\)
−0.284796 + 0.958588i \(0.591926\pi\)
\(374\) −15.9632 + 10.2589i −0.825438 + 0.530477i
\(375\) −21.4953 + 19.4541i −1.11001 + 1.00460i
\(376\) 4.03581 + 4.65757i 0.208131 + 0.240196i
\(377\) 5.85444 0.841741i 0.301519 0.0433519i
\(378\) 1.40571 + 0.641964i 0.0723017 + 0.0330191i
\(379\) −16.8263 + 4.94063i −0.864307 + 0.253783i −0.683692 0.729771i \(-0.739627\pi\)
−0.180615 + 0.983554i \(0.557809\pi\)
\(380\) 10.2216 4.17774i 0.524359 0.214313i
\(381\) −19.6392 + 43.0038i −1.00615 + 2.20315i
\(382\) 5.13118 0.737752i 0.262534 0.0377467i
\(383\) −5.00087 + 4.33327i −0.255532 + 0.221420i −0.773201 0.634161i \(-0.781346\pi\)
0.517668 + 0.855581i \(0.326800\pi\)
\(384\) −1.07721 2.35875i −0.0549709 0.120370i
\(385\) 5.57470 + 6.98475i 0.284113 + 0.355976i
\(386\) −2.36889 + 16.4760i −0.120573 + 0.838605i
\(387\) −2.66325 + 4.14410i −0.135381 + 0.210656i
\(388\) 8.59023 + 7.44348i 0.436103 + 0.377885i
\(389\) 28.1129 + 8.25468i 1.42538 + 0.418529i 0.901320 0.433154i \(-0.142599\pi\)
0.524058 + 0.851682i \(0.324417\pi\)
\(390\) 0.912953 + 8.88458i 0.0462292 + 0.449888i
\(391\) 8.19610 + 16.8538i 0.414494 + 0.852334i
\(392\) 6.32259i 0.319339i
\(393\) −14.3296 + 48.8021i −0.722833 + 2.46174i
\(394\) −0.460158 + 0.531051i −0.0231824 + 0.0267539i
\(395\) −14.1926 7.18795i −0.714106 0.361665i
\(396\) 2.57355 17.8994i 0.129326 0.899480i
\(397\) −9.57991 14.9066i −0.480802 0.748143i 0.513110 0.858323i \(-0.328493\pi\)
−0.993912 + 0.110181i \(0.964857\pi\)
\(398\) 23.0315 10.5181i 1.15446 0.527226i
\(399\) −6.90196 7.96528i −0.345530 0.398763i
\(400\) −1.70319 4.70097i −0.0851594 0.235049i
\(401\) 4.73969 10.3785i 0.236689 0.518276i −0.753595 0.657339i \(-0.771682\pi\)
0.990284 + 0.139063i \(0.0444091\pi\)
\(402\) −11.9178 40.5883i −0.594406 2.02436i
\(403\) −3.60963 12.2933i −0.179808 0.612371i
\(404\) 3.64362 7.97842i 0.181277 0.396941i
\(405\) 3.42153 + 13.6734i 0.170017 + 0.679438i
\(406\) 2.06961 + 2.38846i 0.102713 + 0.118537i
\(407\) −21.1960 + 9.67987i −1.05065 + 0.479814i
\(408\) −5.47842 8.52458i −0.271222 0.422030i
\(409\) 0.436149 3.03349i 0.0215662 0.149996i −0.976193 0.216904i \(-0.930404\pi\)
0.997759 + 0.0669076i \(0.0213133\pi\)
\(410\) −3.81188 + 7.52653i −0.188255 + 0.371709i
\(411\) −29.9886 + 34.6087i −1.47923 + 1.70712i
\(412\) −0.711708 + 2.42386i −0.0350633 + 0.119415i
\(413\) 1.07399i 0.0528478i
\(414\) −17.2535 4.61505i −0.847962 0.226817i
\(415\) 2.72504 + 26.5192i 0.133767 + 1.30178i
\(416\) −1.47794 0.433964i −0.0724622 0.0212768i
\(417\) −0.725600 0.628736i −0.0355328 0.0307893i
\(418\) −12.9644 + 20.1730i −0.634109 + 0.986692i
\(419\) −4.74194 + 32.9809i −0.231659 + 1.61122i 0.459268 + 0.888298i \(0.348112\pi\)
−0.690927 + 0.722925i \(0.742797\pi\)
\(420\) −3.72996 + 2.97697i −0.182003 + 0.145261i
\(421\) −13.3875 29.3145i −0.652466 1.42870i −0.889379 0.457170i \(-0.848863\pi\)
0.236914 0.971531i \(-0.423864\pi\)
\(422\) 2.80344 2.42920i 0.136470 0.118252i
\(423\) −22.7173 + 3.26626i −1.10455 + 0.158811i
\(424\) 2.64086 5.78267i 0.128251 0.280831i
\(425\) −9.20231 17.2362i −0.446378 0.836077i
\(426\) −24.9578 + 7.32828i −1.20921 + 0.355056i
\(427\) 9.89033 + 4.51676i 0.478627 + 0.218582i
\(428\) 13.9315 2.00304i 0.673402 0.0968206i
\(429\) −12.7012 14.6580i −0.613220 0.707694i
\(430\) −1.49730 2.55082i −0.0722062 0.123012i
\(431\) −7.59443 + 4.88064i −0.365811 + 0.235092i −0.710613 0.703583i \(-0.751582\pi\)
0.344802 + 0.938675i \(0.387946\pi\)
\(432\) 1.85848 + 0.267209i 0.0894162 + 0.0128561i
\(433\) 9.33815 14.5304i 0.448763 0.698289i −0.540998 0.841024i \(-0.681953\pi\)
0.989761 + 0.142735i \(0.0455897\pi\)
\(434\) 4.48317 5.17385i 0.215199 0.248353i
\(435\) 4.05612 21.8919i 0.194476 1.04964i
\(436\) 0.000750782 0 3.59559e−5 0
\(437\) 18.2692 + 15.0711i 0.873936 + 0.720947i
\(438\) 16.0369i 0.766271i
\(439\) 12.5452 + 3.68360i 0.598749 + 0.175809i 0.567042 0.823689i \(-0.308088\pi\)
0.0317066 + 0.999497i \(0.489906\pi\)
\(440\) 8.88974 + 6.23441i 0.423802 + 0.297214i
\(441\) −19.8080 12.7298i −0.943237 0.606182i
\(442\) −5.95804 0.856636i −0.283395 0.0407460i
\(443\) 12.2792 + 19.1068i 0.583401 + 0.907790i 0.999999 0.00130107i \(-0.000414142\pi\)
−0.416598 + 0.909091i \(0.636778\pi\)
\(444\) −5.16919 11.3190i −0.245319 0.537174i
\(445\) 8.92576 + 8.38888i 0.423122 + 0.397671i
\(446\) −2.29023 15.9289i −0.108445 0.754255i
\(447\) 2.26824 + 1.03587i 0.107284 + 0.0489951i
\(448\) −0.231881 0.789713i −0.0109553 0.0373104i
\(449\) −2.22247 + 0.652576i −0.104885 + 0.0307970i −0.333754 0.942660i \(-0.608315\pi\)
0.228869 + 0.973457i \(0.426497\pi\)
\(450\) 18.1568 + 4.12898i 0.855921 + 0.194642i
\(451\) −2.60738 18.1348i −0.122777 0.853932i
\(452\) 3.43901 2.97992i 0.161758 0.140164i
\(453\) 48.2034 22.0137i 2.26479 1.03430i
\(454\) 3.02525 1.94421i 0.141982 0.0912463i
\(455\) −0.114502 + 2.83253i −0.00536795 + 0.132791i
\(456\) −10.7727 6.92317i −0.504476 0.324207i
\(457\) 17.5450 + 15.2028i 0.820721 + 0.711158i 0.960275 0.279056i \(-0.0900215\pi\)
−0.139554 + 0.990214i \(0.544567\pi\)
\(458\) 4.76861 16.2404i 0.222822 0.758864i
\(459\) 7.33722 0.342472
\(460\) 7.15272 7.98991i 0.333497 0.372531i
\(461\) 8.06438 0.375595 0.187798 0.982208i \(-0.439865\pi\)
0.187798 + 0.982208i \(0.439865\pi\)
\(462\) 2.91974 9.94372i 0.135839 0.462624i
\(463\) 12.7129 + 11.0158i 0.590817 + 0.511946i 0.898169 0.439650i \(-0.144898\pi\)
−0.307352 + 0.951596i \(0.599443\pi\)
\(464\) 3.23027 + 2.07597i 0.149962 + 0.0963744i
\(465\) −48.1898 1.94803i −2.23475 0.0903377i
\(466\) 19.4633 12.5083i 0.901619 0.579435i
\(467\) −17.1332 + 7.82445i −0.792828 + 0.362072i −0.770306 0.637674i \(-0.779897\pi\)
−0.0225214 + 0.999746i \(0.507169\pi\)
\(468\) 4.33524 3.75651i 0.200396 0.173645i
\(469\) −1.91082 13.2901i −0.0882335 0.613678i
\(470\) 4.41332 13.0547i 0.203571 0.602170i
\(471\) 48.1199 14.1293i 2.21725 0.651043i
\(472\) −0.367631 1.25204i −0.0169216 0.0576296i
\(473\) 5.84270 + 2.66827i 0.268647 + 0.122687i
\(474\) 2.62557 + 18.2613i 0.120597 + 0.838767i
\(475\) −19.6266 14.9824i −0.900532 0.687438i
\(476\) −1.33610 2.92565i −0.0612401 0.134097i
\(477\) 12.7994 + 19.9163i 0.586045 + 0.911904i
\(478\) −12.9534 1.86242i −0.592476 0.0851853i
\(479\) −5.18475 3.33204i −0.236897 0.152245i 0.416806 0.908995i \(-0.363149\pi\)
−0.653704 + 0.756751i \(0.726786\pi\)
\(480\) −3.32927 + 4.74725i −0.151959 + 0.216681i
\(481\) −7.09222 2.08246i −0.323378 0.0949522i
\(482\) 0.609644i 0.0277685i
\(483\) −9.41080 4.02512i −0.428206 0.183149i
\(484\) −12.5791 −0.571776
\(485\) 4.63030 24.9909i 0.210251 1.13478i
\(486\) 14.3927 16.6100i 0.652865 0.753446i
\(487\) −14.0453 + 21.8549i −0.636452 + 0.990339i 0.361858 + 0.932233i \(0.382143\pi\)
−0.998310 + 0.0581061i \(0.981494\pi\)
\(488\) 13.0760 + 1.88004i 0.591922 + 0.0851056i
\(489\) −43.7352 + 28.1069i −1.97777 + 1.27104i
\(490\) 12.1924 7.15681i 0.550798 0.323312i
\(491\) −16.4557 18.9909i −0.742634 0.857046i 0.251198 0.967936i \(-0.419175\pi\)
−0.993833 + 0.110890i \(0.964630\pi\)
\(492\) 9.68422 1.39238i 0.436598 0.0627734i
\(493\) 13.6492 + 6.23339i 0.614730 + 0.280738i
\(494\) −7.29857 + 2.14305i −0.328378 + 0.0964205i
\(495\) −37.4302 + 15.2983i −1.68236 + 0.687608i
\(496\) 3.45534 7.56614i 0.155149 0.339730i
\(497\) −8.17208 + 1.17497i −0.366568 + 0.0527045i
\(498\) 23.3642 20.2452i 1.04697 0.907209i
\(499\) 5.75654 + 12.6051i 0.257698 + 0.564281i 0.993619 0.112787i \(-0.0359778\pi\)
−0.735921 + 0.677068i \(0.763250\pi\)
\(500\) −7.13742 + 8.60565i −0.319195 + 0.384857i
\(501\) 4.38424 30.4931i 0.195873 1.36233i
\(502\) 6.00845 9.34933i 0.268170 0.417281i
\(503\) −25.1422 21.7858i −1.12104 0.971383i −0.121261 0.992621i \(-0.538694\pi\)
−0.999774 + 0.0212380i \(0.993239\pi\)
\(504\) 2.94095 + 0.863541i 0.131000 + 0.0384652i
\(505\) −19.5099 + 2.00478i −0.868180 + 0.0892116i
\(506\) −2.75469 + 23.1242i −0.122461 + 1.02800i
\(507\) 27.5576i 1.22388i
\(508\) −5.13644 + 17.4931i −0.227893 + 0.776131i
\(509\) 5.23195 6.03799i 0.231902 0.267629i −0.627858 0.778328i \(-0.716068\pi\)
0.859759 + 0.510699i \(0.170613\pi\)
\(510\) −10.2375 + 20.2139i −0.453324 + 0.895086i
\(511\) −0.724403 + 5.03834i −0.0320457 + 0.222883i
\(512\) −0.540641 0.841254i −0.0238932 0.0371785i
\(513\) 8.43425 3.85179i 0.372381 0.170061i
\(514\) −5.43138 6.26814i −0.239568 0.276476i
\(515\) 5.47976 1.37121i 0.241467 0.0604229i
\(516\) −1.42489 + 3.12008i −0.0627275 + 0.137354i
\(517\) 8.43105 + 28.7135i 0.370797 + 1.26282i
\(518\) −1.11273 3.78960i −0.0488904 0.166505i
\(519\) 5.62823 12.3241i 0.247052 0.540968i
\(520\) 0.836097 + 3.34128i 0.0366653 + 0.146525i
\(521\) −1.78669 2.06195i −0.0782763 0.0903356i 0.715261 0.698858i \(-0.246308\pi\)
−0.793537 + 0.608522i \(0.791763\pi\)
\(522\) −13.0076 + 5.94036i −0.569326 + 0.260003i
\(523\) −17.6517 27.4665i −0.771853 1.20103i −0.975071 0.221893i \(-0.928776\pi\)
0.203218 0.979133i \(-0.434860\pi\)
\(524\) −2.79146 + 19.4150i −0.121945 + 0.848149i
\(525\) 9.96288 + 3.82307i 0.434816 + 0.166852i
\(526\) 2.63650 3.04269i 0.114957 0.132668i
\(527\) 9.15747 31.1875i 0.398906 1.35855i
\(528\) 12.5916i 0.547978i
\(529\) 22.3564 + 5.40310i 0.972015 + 0.234917i
\(530\) −14.1406 + 1.45304i −0.614227 + 0.0631162i
\(531\) 4.66268 + 1.36909i 0.202343 + 0.0594133i
\(532\) −3.07174 2.66168i −0.133177 0.115398i
\(533\) 3.14208 4.88916i 0.136098 0.211773i
\(534\) 2.02157 14.0603i 0.0874819 0.608450i
\(535\) −19.6323 24.5980i −0.848777 1.06346i
\(536\) −6.77680 14.8391i −0.292713 0.640952i
\(537\) 6.73555 5.83639i 0.290661 0.251859i
\(538\) −16.5962 + 2.38617i −0.715511 + 0.102875i
\(539\) −12.7538 + 27.9270i −0.549346 + 1.20290i
\(540\) −1.58841 3.88635i −0.0683543 0.167242i
\(541\) 37.5294 11.0196i 1.61352 0.473771i 0.654251 0.756277i \(-0.272984\pi\)
0.959266 + 0.282506i \(0.0911656\pi\)
\(542\) 9.16540 + 4.18570i 0.393688 + 0.179791i
\(543\) 9.16667 1.31797i 0.393379 0.0565594i
\(544\) −2.55905 2.95330i −0.109718 0.126622i
\(545\) −0.000849843 0.00144780i −3.64033e−5 6.20171e-5i
\(546\) 2.76559 1.77733i 0.118356 0.0760629i
\(547\) −42.8941 6.16724i −1.83402 0.263692i −0.863436 0.504459i \(-0.831692\pi\)
−0.970583 + 0.240767i \(0.922601\pi\)
\(548\) −9.54773 + 14.8566i −0.407859 + 0.634641i
\(549\) −32.2170 + 37.1804i −1.37499 + 1.58682i
\(550\) 1.95972 24.1999i 0.0835628 1.03189i
\(551\) 18.9623 0.807822
\(552\) −12.3487 1.47104i −0.525595 0.0626117i
\(553\) 5.85578i 0.249013i
\(554\) 19.6895 + 5.78135i 0.836525 + 0.245626i
\(555\) −15.9762 + 22.7807i −0.678151 + 0.966985i
\(556\) −0.311480 0.200176i −0.0132097 0.00848935i
\(557\) 18.0128 + 2.58985i 0.763228 + 0.109736i 0.512927 0.858432i \(-0.328561\pi\)
0.250301 + 0.968168i \(0.419470\pi\)
\(558\) 16.7470 + 26.0588i 0.708956 + 1.10316i
\(559\) 0.846414 + 1.85339i 0.0357995 + 0.0783900i
\(560\) −1.26040 + 1.34107i −0.0532617 + 0.0566704i
\(561\) −7.00261 48.7042i −0.295650 2.05629i
\(562\) −22.5394 10.2934i −0.950767 0.434201i
\(563\) −1.76606 6.01463i −0.0744304 0.253487i 0.913870 0.406007i \(-0.133079\pi\)
−0.988300 + 0.152520i \(0.951261\pi\)
\(564\) −15.3334 + 4.50230i −0.645654 + 0.189581i
\(565\) −9.63923 3.25867i −0.405526 0.137093i
\(566\) 1.35770 + 9.44304i 0.0570686 + 0.396921i
\(567\) 3.92090 3.39748i 0.164662 0.142681i
\(568\) −9.12461 + 4.16707i −0.382860 + 0.174846i
\(569\) 34.4512 22.1404i 1.44427 0.928175i 0.444798 0.895631i \(-0.353275\pi\)
0.999470 0.0325443i \(-0.0103610\pi\)
\(570\) −1.15655 + 28.6106i −0.0484427 + 1.19836i
\(571\) 14.7398 + 9.47273i 0.616843 + 0.396421i 0.811418 0.584467i \(-0.198696\pi\)
−0.194574 + 0.980888i \(0.562333\pi\)
\(572\) −5.65272 4.89811i −0.236352 0.204800i
\(573\) −3.78716 + 12.8979i −0.158211 + 0.538817i
\(574\) 3.10541 0.129617
\(575\) −23.5042 4.74914i −0.980191 0.198053i
\(576\) 3.72408 0.155170
\(577\) 4.73519 16.1266i 0.197129 0.671358i −0.800294 0.599608i \(-0.795323\pi\)
0.997423 0.0717504i \(-0.0228585\pi\)
\(578\) 1.30689 + 1.13243i 0.0543595 + 0.0471028i
\(579\) −36.3109 23.3356i −1.50903 0.969795i
\(580\) 0.346802 8.57911i 0.0144002 0.356228i
\(581\) 8.25488 5.30509i 0.342470 0.220092i
\(582\) −26.8107 + 12.2441i −1.11134 + 0.507533i
\(583\) 23.3294 20.2151i 0.966206 0.837223i
\(584\) 0.880143 + 6.12153i 0.0364206 + 0.253311i
\(585\) −12.1513 4.10790i −0.502393 0.169841i
\(586\) −16.5963 + 4.87311i −0.685586 + 0.201306i
\(587\) 12.0781 + 41.1342i 0.498516 + 1.69779i 0.696477 + 0.717579i \(0.254750\pi\)
−0.197962 + 0.980210i \(0.563432\pi\)
\(588\) −14.9134 6.81072i −0.615018 0.280869i
\(589\) −5.84573 40.6579i −0.240869 1.67528i
\(590\) −1.99828 + 2.12617i −0.0822679 + 0.0875331i
\(591\) −0.756932 1.65745i −0.0311360 0.0681783i
\(592\) −2.59438 4.03693i −0.106628 0.165917i
\(593\) −15.4713 2.22443i −0.635329 0.0913466i −0.182878 0.983136i \(-0.558541\pi\)
−0.452451 + 0.891789i \(0.649450\pi\)
\(594\) 7.66994 + 4.92917i 0.314701 + 0.202246i
\(595\) −4.12942 + 5.88821i −0.169290 + 0.241393i
\(596\) 0.922676 + 0.270922i 0.0377943 + 0.0110974i
\(597\) 65.6557i 2.68711i
\(598\) −5.46402 + 4.97145i −0.223441 + 0.203298i
\(599\) −23.4056 −0.956327 −0.478163 0.878271i \(-0.658697\pi\)
−0.478163 + 0.878271i \(0.658697\pi\)
\(600\) 12.9231 + 1.04652i 0.527584 + 0.0427240i
\(601\) 6.80010 7.84774i 0.277382 0.320116i −0.599915 0.800064i \(-0.704799\pi\)
0.877297 + 0.479948i \(0.159344\pi\)
\(602\) −0.588600 + 0.915880i −0.0239896 + 0.0373285i
\(603\) 60.1337 + 8.64592i 2.44883 + 0.352089i
\(604\) 17.1918 11.0485i 0.699526 0.449558i
\(605\) 14.2388 + 24.2574i 0.578890 + 0.986204i
\(606\) 14.8942 + 17.1888i 0.605035 + 0.698247i
\(607\) 6.99194 1.00529i 0.283794 0.0408035i 0.00105223 0.999999i \(-0.499665\pi\)
0.282742 + 0.959196i \(0.408756\pi\)
\(608\) −4.49206 2.05145i −0.182177 0.0831974i
\(609\) −7.86317 + 2.30883i −0.318632 + 0.0935587i
\(610\) −11.1758 27.3438i −0.452496 1.10712i
\(611\) −3.94348 + 8.63502i −0.159536 + 0.349336i
\(612\) 14.4047 2.07109i 0.582277 0.0837188i
\(613\) −0.680540 + 0.589691i −0.0274867 + 0.0238174i −0.668496 0.743716i \(-0.733062\pi\)
0.641009 + 0.767533i \(0.278516\pi\)
\(614\) 4.09300 + 8.96243i 0.165180 + 0.361694i
\(615\) −13.6470 17.0989i −0.550302 0.689494i
\(616\) 0.568776 3.95592i 0.0229166 0.159389i
\(617\) 17.4211 27.1078i 0.701349 1.09132i −0.289609 0.957145i \(-0.593525\pi\)
0.990958 0.134175i \(-0.0428384\pi\)
\(618\) −4.95061 4.28973i −0.199143 0.172558i
\(619\) −24.3150 7.13951i −0.977301 0.286961i −0.246191 0.969221i \(-0.579179\pi\)
−0.731110 + 0.682260i \(0.760997\pi\)
\(620\) −18.5018 + 1.90118i −0.743048 + 0.0763534i
\(621\) 5.73015 6.94612i 0.229943 0.278738i
\(622\) 8.40603i 0.337051i
\(623\) 1.27024 4.32605i 0.0508912 0.173319i
\(624\) 2.61566 3.01864i 0.104710 0.120842i
\(625\) 24.6742 + 4.02264i 0.986970 + 0.160906i
\(626\) 2.69819 18.7663i 0.107841 0.750054i
\(627\) −33.6177 52.3102i −1.34256 2.08907i
\(628\) 17.5927 8.03431i 0.702025 0.320604i
\(629\) −12.2801 14.1720i −0.489641 0.565076i
\(630\) −1.66374 6.64879i −0.0662851 0.264894i
\(631\) 2.43194 5.32520i 0.0968139 0.211993i −0.855028 0.518581i \(-0.826460\pi\)
0.951842 + 0.306589i \(0.0991876\pi\)
\(632\) 2.00445 + 6.82652i 0.0797326 + 0.271544i
\(633\) 2.70999 + 9.22937i 0.107712 + 0.366835i
\(634\) −7.95092 + 17.4101i −0.315771 + 0.691443i
\(635\) 39.5478 9.89613i 1.56941 0.392716i
\(636\) 10.7951 + 12.4583i 0.428055 + 0.494002i
\(637\) −8.85884 + 4.04570i −0.351000 + 0.160296i
\(638\) 10.0805 + 15.6856i 0.399093 + 0.621000i
\(639\) 5.31640 36.9764i 0.210313 1.46276i
\(640\) −1.01029 + 1.99482i −0.0399354 + 0.0788522i
\(641\) 8.76323 10.1133i 0.346127 0.399452i −0.555817 0.831304i \(-0.687595\pi\)
0.901944 + 0.431853i \(0.142140\pi\)
\(642\) −10.2824 + 35.0185i −0.405813 + 1.38207i
\(643\) 16.5420i 0.652352i −0.945309 0.326176i \(-0.894240\pi\)
0.945309 0.326176i \(-0.105760\pi\)
\(644\) −3.81316 1.01996i −0.150260 0.0401922i
\(645\) 7.62965 0.784000i 0.300417 0.0308700i
\(646\) −18.5162 5.43684i −0.728509 0.213910i
\(647\) 26.1354 + 22.6464i 1.02749 + 0.890323i 0.994029 0.109117i \(-0.0348024\pi\)
0.0334586 + 0.999440i \(0.489348\pi\)
\(648\) 3.40792 5.30282i 0.133876 0.208315i
\(649\) 0.901755 6.27184i 0.0353970 0.246191i
\(650\) 5.49690 5.39447i 0.215606 0.211588i
\(651\) 7.37454 + 16.1480i 0.289031 + 0.632889i
\(652\) −15.1518 + 13.1291i −0.593392 + 0.514177i
\(653\) −45.9652 + 6.60880i −1.79876 + 0.258622i −0.958810 0.284047i \(-0.908323\pi\)
−0.839946 + 0.542669i \(0.817414\pi\)
\(654\) −0.000808746 0.00177091i −3.16245e−5 6.92480e-5i
\(655\) 40.5996 16.5937i 1.58636 0.648368i
\(656\) 3.62020 1.06299i 0.141345 0.0415027i
\(657\) −20.9502 9.56762i −0.817344 0.373268i
\(658\) −5.02072 + 0.721870i −0.195728 + 0.0281414i
\(659\) 24.3323 + 28.0810i 0.947852 + 1.09388i 0.995476 + 0.0950144i \(0.0302897\pi\)
−0.0476238 + 0.998865i \(0.515165\pi\)
\(660\) −24.2815 + 14.2529i −0.945156 + 0.554795i
\(661\) −22.3758 + 14.3800i −0.870317 + 0.559319i −0.897850 0.440302i \(-0.854871\pi\)
0.0275324 + 0.999621i \(0.491235\pi\)
\(662\) 30.8332 + 4.43315i 1.19837 + 0.172299i
\(663\) 8.43862 13.1308i 0.327729 0.509956i
\(664\) 7.80738 9.01020i 0.302985 0.349664i
\(665\) −1.65573 + 8.93640i −0.0642064 + 0.346539i
\(666\) 17.8708 0.692478
\(667\) 16.5608 8.05358i 0.641235 0.311836i
\(668\) 11.8803i 0.459663i
\(669\) 40.0393 + 11.7566i 1.54801 + 0.454537i
\(670\) −20.9447 + 29.8654i −0.809165 + 1.15380i
\(671\) 53.9645 + 34.6809i 2.08328 + 1.33884i
\(672\) 2.11252 + 0.303734i 0.0814922 + 0.0117168i
\(673\) 21.9007 + 34.0782i 0.844210 + 1.31362i 0.947757 + 0.318992i \(0.103344\pi\)
−0.103547 + 0.994625i \(0.533019\pi\)
\(674\) 1.87275 + 4.10074i 0.0721355 + 0.157955i
\(675\) −5.69642 + 7.46221i −0.219255 + 0.287221i
\(676\) 1.51243 + 10.5192i 0.0581704 + 0.404584i
\(677\) −22.5137 10.2817i −0.865272 0.395157i −0.0672152 0.997738i \(-0.521411\pi\)
−0.798057 + 0.602582i \(0.794139\pi\)
\(678\) 3.32437 + 11.3218i 0.127672 + 0.434810i
\(679\) −8.97627 + 2.63567i −0.344478 + 0.101148i
\(680\) −2.79843 + 8.27783i −0.107315 + 0.317440i
\(681\) 1.32709 + 9.23013i 0.0508543 + 0.353699i
\(682\) 30.5246 26.4497i 1.16885 1.01281i
\(683\) 6.95452 3.17602i 0.266107 0.121527i −0.277893 0.960612i \(-0.589636\pi\)
0.544001 + 0.839085i \(0.316909\pi\)
\(684\) 15.4712 9.94276i 0.591558 0.380171i
\(685\) 39.4568 + 1.59500i 1.50757 + 0.0609420i
\(686\) −9.22450 5.92823i −0.352193 0.226341i
\(687\) 33.1703 + 28.7422i 1.26552 + 1.09658i
\(688\) −0.372667 + 1.26919i −0.0142078 + 0.0483873i
\(689\) 9.79218 0.373052
\(690\) 11.1413 + 25.4783i 0.424140 + 0.969941i
\(691\) 12.5218 0.476351 0.238176 0.971222i \(-0.423451\pi\)
0.238176 + 0.971222i \(0.423451\pi\)
\(692\) 1.47201 5.01320i 0.0559574 0.190573i
\(693\) 11.2483 + 9.74672i 0.427288 + 0.370247i
\(694\) 2.04343 + 1.31323i 0.0775674 + 0.0498496i
\(695\) −0.0334406 + 0.827244i −0.00126847 + 0.0313792i
\(696\) −8.37636 + 5.38316i −0.317505 + 0.204048i
\(697\) 13.4118 6.12496i 0.508008 0.232000i
\(698\) −21.4294 + 18.5687i −0.811116 + 0.702836i
\(699\) 8.53799 + 59.3830i 0.322937 + 2.24607i
\(700\) 4.01281 + 0.912539i 0.151670 + 0.0344907i
\(701\) 8.90573 2.61496i 0.336365 0.0987656i −0.109188 0.994021i \(-0.534825\pi\)
0.445553 + 0.895255i \(0.353007\pi\)
\(702\) 0.814807 + 2.77498i 0.0307529 + 0.104735i
\(703\) −21.5561 9.84432i −0.813002 0.371286i
\(704\) −0.691057 4.80640i −0.0260452 0.181148i
\(705\) 26.0388 + 24.4726i 0.980678 + 0.921690i
\(706\) −3.26482 7.14897i −0.122873 0.269055i
\(707\) 3.90290 + 6.07303i 0.146784 + 0.228400i
\(708\) 3.34925 + 0.481550i 0.125873 + 0.0180978i
\(709\) −13.9940 8.99337i −0.525554 0.337753i 0.250811 0.968036i \(-0.419303\pi\)
−0.776366 + 0.630283i \(0.782939\pi\)
\(710\) 18.3643 + 12.8790i 0.689200 + 0.483339i
\(711\) −25.4225 7.46471i −0.953417 0.279949i
\(712\) 5.47800i 0.205297i
\(713\) −22.3734 33.0258i −0.837890 1.23683i
\(714\) 8.34015 0.312122
\(715\) −3.04693 + 16.4451i −0.113949 + 0.615011i
\(716\) 2.25075 2.59751i 0.0841146 0.0970734i
\(717\) 18.3465 28.5477i 0.685163 1.06613i
\(718\) 4.01253 + 0.576914i 0.149746 + 0.0215302i
\(719\) 31.4661 20.2221i 1.17349 0.754156i 0.199311 0.979936i \(-0.436130\pi\)
0.974178 + 0.225781i \(0.0724932\pi\)
\(720\) −4.21545 7.18149i −0.157100 0.267638i
\(721\) −1.36157 1.57134i −0.0507077 0.0585198i
\(722\) −5.33221 + 0.766656i −0.198444 + 0.0285320i
\(723\) −1.43800 0.656712i −0.0534797 0.0244234i
\(724\) 3.42673 1.00618i 0.127354 0.0373944i
\(725\) −16.9365 + 9.04230i −0.629005 + 0.335823i
\(726\) 13.5503 29.6709i 0.502897 1.10119i
\(727\) −7.50409 + 1.07893i −0.278311 + 0.0400151i −0.280057 0.959983i \(-0.590353\pi\)
0.00174573 + 0.999998i \(0.499444\pi\)
\(728\) 0.958124 0.830219i 0.0355104 0.0307700i
\(729\) 15.8194 + 34.6396i 0.585903 + 1.28295i
\(730\) 10.8084 8.62649i 0.400039 0.319281i
\(731\) −0.735638 + 5.11648i −0.0272086 + 0.189240i
\(732\) −18.5201 + 28.8178i −0.684522 + 1.06514i
\(733\) −27.8874 24.1646i −1.03005 0.892540i −0.0357674 0.999360i \(-0.511388\pi\)
−0.994278 + 0.106820i \(0.965933\pi\)
\(734\) −0.00275890 0.000810086i −0.000101833 2.99008e-5i
\(735\) 3.74737 + 36.4683i 0.138224 + 1.34515i
\(736\) −4.79442 + 0.116205i −0.176725 + 0.00428339i
\(737\) 79.2147i 2.91791i
\(738\) −3.95865 + 13.4819i −0.145720 + 0.496276i
\(739\) −22.4956 + 25.9613i −0.827514 + 0.955002i −0.999547 0.0300890i \(-0.990421\pi\)
0.172033 + 0.985091i \(0.444966\pi\)
\(740\) −4.84810 + 9.57255i −0.178220 + 0.351894i
\(741\) 2.80713 19.5240i 0.103122 0.717233i
\(742\) 2.82878 + 4.40167i 0.103848 + 0.161590i
\(743\) −14.9390 + 6.82240i −0.548057 + 0.250289i −0.670145 0.742230i \(-0.733768\pi\)
0.122088 + 0.992519i \(0.461041\pi\)
\(744\) 14.1245 + 16.3006i 0.517830 + 0.597608i
\(745\) −0.521973 2.08595i −0.0191236 0.0764234i
\(746\) 2.33431 5.11143i 0.0854652 0.187143i
\(747\) 12.5087 + 42.6007i 0.457670 + 1.55868i
\(748\) −5.34602 18.2069i −0.195470 0.665709i
\(749\) −4.81226 + 10.5374i −0.175836 + 0.385028i
\(750\) −12.6101 26.1054i −0.460457 0.953236i
\(751\) 8.77410 + 10.1258i 0.320171 + 0.369497i 0.892906 0.450244i \(-0.148663\pi\)
−0.572734 + 0.819741i \(0.694117\pi\)
\(752\) −5.60592 + 2.56014i −0.204427 + 0.0933587i
\(753\) 15.5804 + 24.2436i 0.567782 + 0.883486i
\(754\) −0.841741 + 5.85444i −0.0306544 + 0.213206i
\(755\) −40.7661 20.6463i −1.48363 0.751397i
\(756\) −1.01199 + 1.16790i −0.0368058 + 0.0424762i
\(757\) −6.88700 + 23.4550i −0.250312 + 0.852485i 0.734462 + 0.678649i \(0.237434\pi\)
−0.984775 + 0.173836i \(0.944384\pi\)
\(758\) 17.5366i 0.636958i
\(759\) −51.5770 31.4072i −1.87213 1.14001i
\(760\) 1.12874 + 10.9846i 0.0409438 + 0.398453i
\(761\) −17.2773 5.07309i −0.626303 0.183899i −0.0468464 0.998902i \(-0.514917\pi\)
−0.579457 + 0.815003i \(0.696735\pi\)
\(762\) −35.7289 30.9593i −1.29432 1.12154i
\(763\) −0.000334080 0 0.000519838i −1.20945e−5 0 1.88194e-5i
\(764\) −0.737752 + 5.13118i −0.0266909 + 0.185640i
\(765\) −20.2992 25.4337i −0.733920 0.919556i
\(766\) −2.74884 6.01912i −0.0993196 0.217480i
\(767\) 1.51904 1.31626i 0.0548493 0.0475272i
\(768\) 2.56669 0.369034i 0.0926174 0.0133164i
\(769\) −8.01981 + 17.5609i −0.289202 + 0.633264i −0.997346 0.0728039i \(-0.976805\pi\)
0.708144 + 0.706068i \(0.249533\pi\)
\(770\) −8.27240 + 3.38106i −0.298117 + 0.121845i
\(771\) 20.6357 6.05919i 0.743177 0.218216i
\(772\) −15.1412 6.91475i −0.544943 0.248867i
\(773\)