Properties

Label 273.2.cd.e.44.2
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.2
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.42391 + 0.649484i) q^{2} +(-1.28483 - 1.16155i) q^{3} +(3.72144 - 2.14858i) q^{4} +(3.58252 - 0.959933i) q^{5} +(3.86873 + 1.98102i) q^{6} +(1.55291 - 2.14207i) q^{7} +(-4.07612 + 4.07612i) q^{8} +(0.301593 + 2.98480i) q^{9} +O(q^{10})\) \(q+(-2.42391 + 0.649484i) q^{2} +(-1.28483 - 1.16155i) q^{3} +(3.72144 - 2.14858i) q^{4} +(3.58252 - 0.959933i) q^{5} +(3.86873 + 1.98102i) q^{6} +(1.55291 - 2.14207i) q^{7} +(-4.07612 + 4.07612i) q^{8} +(0.301593 + 2.98480i) q^{9} +(-8.06023 + 4.65358i) q^{10} +(-2.52674 - 0.677038i) q^{11} +(-7.27712 - 1.56209i) q^{12} +(3.59741 - 0.242118i) q^{13} +(-2.37286 + 6.20077i) q^{14} +(-5.71795 - 2.92793i) q^{15} +(2.93561 - 5.08463i) q^{16} +(-0.358785 - 0.621434i) q^{17} +(-2.66961 - 7.03900i) q^{18} +(1.19661 + 4.46581i) q^{19} +(11.2697 - 11.2697i) q^{20} +(-4.48336 + 0.948423i) q^{21} +6.56431 q^{22} +(2.80909 - 4.86549i) q^{23} +(9.97177 - 0.502509i) q^{24} +(7.58284 - 4.37795i) q^{25} +(-8.56254 + 2.92333i) q^{26} +(3.07951 - 4.18529i) q^{27} +(1.17665 - 11.3081i) q^{28} +1.19958i q^{29} +(15.7614 + 3.38331i) q^{30} +(-3.93812 - 1.05522i) q^{31} +(-0.829338 + 3.09513i) q^{32} +(2.46003 + 3.80482i) q^{33} +(1.27327 + 1.27327i) q^{34} +(3.50707 - 9.16470i) q^{35} +(7.53544 + 10.4598i) q^{36} +(-5.34024 + 1.43091i) q^{37} +(-5.80094 - 10.0475i) q^{38} +(-4.90331 - 3.86750i) q^{39} +(-10.6900 + 18.5156i) q^{40} +(3.34101 + 3.34101i) q^{41} +(10.2513 - 5.21076i) q^{42} -4.83534i q^{43} +(-10.8578 + 2.90934i) q^{44} +(3.94567 + 10.4036i) q^{45} +(-3.64892 + 13.6179i) q^{46} +(-0.235612 - 0.879316i) q^{47} +(-9.67784 + 3.12304i) q^{48} +(-2.17695 - 6.65288i) q^{49} +(-15.5367 + 15.5367i) q^{50} +(-0.260849 + 1.21519i) q^{51} +(12.8674 - 8.63035i) q^{52} +(2.40005 - 1.38567i) q^{53} +(-4.74616 + 12.1448i) q^{54} -9.70201 q^{55} +(2.40151 + 15.0612i) q^{56} +(3.64983 - 7.12775i) q^{57} +(-0.779109 - 2.90768i) q^{58} +(-8.51651 - 2.28199i) q^{59} +(-27.5699 + 1.38934i) q^{60} +(5.31781 - 9.21071i) q^{61} +10.2310 q^{62} +(6.86201 + 3.98909i) q^{63} +3.70150i q^{64} +(12.6554 - 4.32067i) q^{65} +(-8.43405 - 7.62479i) q^{66} +(-3.15045 - 0.844160i) q^{67} +(-2.67040 - 1.54176i) q^{68} +(-9.26073 + 2.98843i) q^{69} +(-2.54850 + 24.4922i) q^{70} +(7.32763 + 7.32763i) q^{71} +(-13.3958 - 10.9371i) q^{72} +(-1.53552 + 5.73065i) q^{73} +(12.0149 - 6.93680i) q^{74} +(-14.8279 - 3.18292i) q^{75} +(14.0483 + 14.0483i) q^{76} +(-5.37406 + 4.36109i) q^{77} +(14.3970 + 6.18984i) q^{78} +(-1.74363 + 3.02006i) q^{79} +(5.63598 - 21.0338i) q^{80} +(-8.81808 + 1.80039i) q^{81} +(-10.2682 - 5.92837i) q^{82} +(-1.93496 - 1.93496i) q^{83} +(-14.6468 + 13.1623i) q^{84} +(-1.88189 - 1.88189i) q^{85} +(3.14048 + 11.7204i) q^{86} +(1.39338 - 1.54126i) q^{87} +(13.0590 - 7.53962i) q^{88} +(-2.74480 - 10.2437i) q^{89} +(-16.3209 - 22.6547i) q^{90} +(5.06782 - 8.08191i) q^{91} -24.1422i q^{92} +(3.83414 + 5.93011i) q^{93} +(1.14220 + 1.97835i) q^{94} +(8.57375 + 14.8502i) q^{95} +(4.66072 - 3.01341i) q^{96} +(-13.6182 + 13.6182i) q^{97} +(9.59767 + 14.7121i) q^{98} +(1.25878 - 7.74601i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.42391 + 0.649484i −1.71396 + 0.459254i −0.976390 0.216015i \(-0.930694\pi\)
−0.737571 + 0.675270i \(0.764027\pi\)
\(3\) −1.28483 1.16155i −0.741799 0.670622i
\(4\) 3.72144 2.14858i 1.86072 1.07429i
\(5\) 3.58252 0.959933i 1.60215 0.429295i 0.656459 0.754361i \(-0.272053\pi\)
0.945691 + 0.325066i \(0.105387\pi\)
\(6\) 3.86873 + 1.98102i 1.57940 + 0.808746i
\(7\) 1.55291 2.14207i 0.586944 0.809627i
\(8\) −4.07612 + 4.07612i −1.44113 + 1.44113i
\(9\) 0.301593 + 2.98480i 0.100531 + 0.994934i
\(10\) −8.06023 + 4.65358i −2.54887 + 1.47159i
\(11\) −2.52674 0.677038i −0.761841 0.204135i −0.143077 0.989712i \(-0.545700\pi\)
−0.618764 + 0.785577i \(0.712366\pi\)
\(12\) −7.27712 1.56209i −2.10072 0.450936i
\(13\) 3.59741 0.242118i 0.997743 0.0671514i
\(14\) −2.37286 + 6.20077i −0.634174 + 1.65723i
\(15\) −5.71795 2.92793i −1.47637 0.755988i
\(16\) 2.93561 5.08463i 0.733903 1.27116i
\(17\) −0.358785 0.621434i −0.0870182 0.150720i 0.819231 0.573463i \(-0.194401\pi\)
−0.906249 + 0.422743i \(0.861067\pi\)
\(18\) −2.66961 7.03900i −0.629234 1.65911i
\(19\) 1.19661 + 4.46581i 0.274521 + 1.02453i 0.956162 + 0.292840i \(0.0946002\pi\)
−0.681640 + 0.731687i \(0.738733\pi\)
\(20\) 11.2697 11.2697i 2.51997 2.51997i
\(21\) −4.48336 + 0.948423i −0.978349 + 0.206963i
\(22\) 6.56431 1.39952
\(23\) 2.80909 4.86549i 0.585736 1.01452i −0.409048 0.912513i \(-0.634139\pi\)
0.994783 0.102011i \(-0.0325276\pi\)
\(24\) 9.97177 0.502509i 2.03548 0.102574i
\(25\) 7.58284 4.37795i 1.51657 0.875590i
\(26\) −8.56254 + 2.92333i −1.67925 + 0.573313i
\(27\) 3.07951 4.18529i 0.592651 0.805459i
\(28\) 1.17665 11.3081i 0.222366 2.13704i
\(29\) 1.19958i 0.222757i 0.993778 + 0.111378i \(0.0355266\pi\)
−0.993778 + 0.111378i \(0.964473\pi\)
\(30\) 15.7614 + 3.38331i 2.87763 + 0.617705i
\(31\) −3.93812 1.05522i −0.707307 0.189522i −0.112806 0.993617i \(-0.535984\pi\)
−0.594501 + 0.804095i \(0.702650\pi\)
\(32\) −0.829338 + 3.09513i −0.146608 + 0.547147i
\(33\) 2.46003 + 3.80482i 0.428236 + 0.662335i
\(34\) 1.27327 + 1.27327i 0.218365 + 0.218365i
\(35\) 3.50707 9.16470i 0.592804 1.54912i
\(36\) 7.53544 + 10.4598i 1.25591 + 1.74330i
\(37\) −5.34024 + 1.43091i −0.877930 + 0.235241i −0.669514 0.742800i \(-0.733497\pi\)
−0.208416 + 0.978040i \(0.566831\pi\)
\(38\) −5.80094 10.0475i −0.941037 1.62992i
\(39\) −4.90331 3.86750i −0.785158 0.619296i
\(40\) −10.6900 + 18.5156i −1.69023 + 2.92757i
\(41\) 3.34101 + 3.34101i 0.521779 + 0.521779i 0.918108 0.396330i \(-0.129716\pi\)
−0.396330 + 0.918108i \(0.629716\pi\)
\(42\) 10.2513 5.21076i 1.58180 0.804037i
\(43\) 4.83534i 0.737383i −0.929552 0.368691i \(-0.879806\pi\)
0.929552 0.368691i \(-0.120194\pi\)
\(44\) −10.8578 + 2.90934i −1.63687 + 0.438599i
\(45\) 3.94567 + 10.4036i 0.588186 + 1.55088i
\(46\) −3.64892 + 13.6179i −0.538003 + 2.00786i
\(47\) −0.235612 0.879316i −0.0343675 0.128261i 0.946611 0.322379i \(-0.104482\pi\)
−0.980978 + 0.194117i \(0.937816\pi\)
\(48\) −9.67784 + 3.12304i −1.39688 + 0.450771i
\(49\) −2.17695 6.65288i −0.310993 0.950412i
\(50\) −15.5367 + 15.5367i −2.19722 + 2.19722i
\(51\) −0.260849 + 1.21519i −0.0365262 + 0.170160i
\(52\) 12.8674 8.63035i 1.78438 1.19681i
\(53\) 2.40005 1.38567i 0.329672 0.190336i −0.326024 0.945362i \(-0.605709\pi\)
0.655695 + 0.755026i \(0.272376\pi\)
\(54\) −4.74616 + 12.1448i −0.645870 + 1.65270i
\(55\) −9.70201 −1.30822
\(56\) 2.40151 + 15.0612i 0.320915 + 2.01264i
\(57\) 3.64983 7.12775i 0.483431 0.944093i
\(58\) −0.779109 2.90768i −0.102302 0.381797i
\(59\) −8.51651 2.28199i −1.10875 0.297090i −0.342430 0.939543i \(-0.611250\pi\)
−0.766325 + 0.642453i \(0.777917\pi\)
\(60\) −27.5699 + 1.38934i −3.55926 + 0.179362i
\(61\) 5.31781 9.21071i 0.680876 1.17931i −0.293838 0.955855i \(-0.594933\pi\)
0.974714 0.223456i \(-0.0717339\pi\)
\(62\) 10.2310 1.29934
\(63\) 6.86201 + 3.98909i 0.864532 + 0.502578i
\(64\) 3.70150i 0.462688i
\(65\) 12.6554 4.32067i 1.56971 0.535913i
\(66\) −8.43405 7.62479i −1.03816 0.938547i
\(67\) −3.15045 0.844160i −0.384888 0.103131i 0.0611861 0.998126i \(-0.480512\pi\)
−0.446074 + 0.894996i \(0.647178\pi\)
\(68\) −2.67040 1.54176i −0.323833 0.186965i
\(69\) −9.26073 + 2.98843i −1.11486 + 0.359765i
\(70\) −2.54850 + 24.4922i −0.304604 + 2.92737i
\(71\) 7.32763 + 7.32763i 0.869629 + 0.869629i 0.992431 0.122802i \(-0.0391880\pi\)
−0.122802 + 0.992431i \(0.539188\pi\)
\(72\) −13.3958 10.9371i −1.57870 1.28895i
\(73\) −1.53552 + 5.73065i −0.179719 + 0.670722i 0.815980 + 0.578080i \(0.196198\pi\)
−0.995699 + 0.0926420i \(0.970469\pi\)
\(74\) 12.0149 6.93680i 1.39670 0.806386i
\(75\) −14.8279 3.18292i −1.71218 0.367532i
\(76\) 14.0483 + 14.0483i 1.61145 + 1.61145i
\(77\) −5.37406 + 4.36109i −0.612431 + 0.496992i
\(78\) 14.3970 + 6.18984i 1.63014 + 0.700862i
\(79\) −1.74363 + 3.02006i −0.196174 + 0.339784i −0.947285 0.320393i \(-0.896185\pi\)
0.751111 + 0.660176i \(0.229518\pi\)
\(80\) 5.63598 21.0338i 0.630122 2.35165i
\(81\) −8.81808 + 1.80039i −0.979787 + 0.200044i
\(82\) −10.2682 5.92837i −1.13394 0.654679i
\(83\) −1.93496 1.93496i −0.212390 0.212390i 0.592892 0.805282i \(-0.297986\pi\)
−0.805282 + 0.592892i \(0.797986\pi\)
\(84\) −14.6468 + 13.1623i −1.59810 + 1.43613i
\(85\) −1.88189 1.88189i −0.204120 0.204120i
\(86\) 3.14048 + 11.7204i 0.338646 + 1.26385i
\(87\) 1.39338 1.54126i 0.149386 0.165241i
\(88\) 13.0590 7.53962i 1.39209 0.803726i
\(89\) −2.74480 10.2437i −0.290948 1.08583i −0.944382 0.328849i \(-0.893339\pi\)
0.653435 0.756983i \(-0.273327\pi\)
\(90\) −16.3209 22.6547i −1.72037 2.38801i
\(91\) 5.06782 8.08191i 0.531252 0.847214i
\(92\) 24.1422i 2.51700i
\(93\) 3.83414 + 5.93011i 0.397582 + 0.614924i
\(94\) 1.14220 + 1.97835i 0.117809 + 0.204052i
\(95\) 8.57375 + 14.8502i 0.879649 + 1.52360i
\(96\) 4.66072 3.01341i 0.475683 0.307555i
\(97\) −13.6182 + 13.6182i −1.38272 + 1.38272i −0.542975 + 0.839749i \(0.682702\pi\)
−0.839749 + 0.542975i \(0.817298\pi\)
\(98\) 9.59767 + 14.7121i 0.969511 + 1.48614i
\(99\) 1.25878 7.74601i 0.126512 0.778504i
\(100\) 18.8127 32.5846i 1.88127 3.25846i
\(101\) 8.22476 + 14.2457i 0.818394 + 1.41750i 0.906865 + 0.421421i \(0.138469\pi\)
−0.0884712 + 0.996079i \(0.528198\pi\)
\(102\) −0.156971 3.11492i −0.0155424 0.308423i
\(103\) −1.66310 0.960190i −0.163870 0.0946103i 0.415822 0.909446i \(-0.363494\pi\)
−0.579692 + 0.814836i \(0.696827\pi\)
\(104\) −13.6766 + 15.6504i −1.34110 + 1.53465i
\(105\) −15.1513 + 7.70146i −1.47861 + 0.751586i
\(106\) −4.91752 + 4.91752i −0.477632 + 0.477632i
\(107\) 6.59999 + 3.81051i 0.638045 + 0.368375i 0.783861 0.620936i \(-0.213247\pi\)
−0.145816 + 0.989312i \(0.546581\pi\)
\(108\) 2.46780 22.1919i 0.237464 2.13541i
\(109\) 15.5683 + 4.17150i 1.49117 + 0.399557i 0.910131 0.414320i \(-0.135980\pi\)
0.581037 + 0.813877i \(0.302647\pi\)
\(110\) 23.5168 6.30130i 2.24224 0.600805i
\(111\) 8.52340 + 4.36448i 0.809005 + 0.414258i
\(112\) −6.33291 14.1843i −0.598404 1.34029i
\(113\) 9.44516i 0.888526i −0.895897 0.444263i \(-0.853466\pi\)
0.895897 0.444263i \(-0.146534\pi\)
\(114\) −4.21748 + 19.6475i −0.395003 + 1.84016i
\(115\) 5.39307 20.1272i 0.502907 1.87687i
\(116\) 2.57740 + 4.46418i 0.239305 + 0.414489i
\(117\) 1.80763 + 10.6645i 0.167115 + 0.985937i
\(118\) 22.1253 2.03680
\(119\) −1.88832 0.196486i −0.173102 0.0180119i
\(120\) 35.2417 11.3725i 3.21711 1.03816i
\(121\) −3.60024 2.07860i −0.327294 0.188963i
\(122\) −6.90766 + 25.7797i −0.625390 + 2.33399i
\(123\) −0.411884 8.17341i −0.0371383 0.736971i
\(124\) −16.9227 + 4.53443i −1.51970 + 0.407203i
\(125\) 9.85018 9.85018i 0.881027 0.881027i
\(126\) −19.2237 5.21241i −1.71259 0.464359i
\(127\) 5.13993i 0.456095i 0.973650 + 0.228048i \(0.0732342\pi\)
−0.973650 + 0.228048i \(0.926766\pi\)
\(128\) −4.06274 15.1624i −0.359099 1.34018i
\(129\) −5.61650 + 6.21261i −0.494505 + 0.546990i
\(130\) −27.8693 + 18.6924i −2.44430 + 1.63943i
\(131\) 8.70090 + 5.02346i 0.760201 + 0.438902i 0.829368 0.558703i \(-0.188701\pi\)
−0.0691670 + 0.997605i \(0.522034\pi\)
\(132\) 17.3298 + 8.87389i 1.50837 + 0.772373i
\(133\) 11.4243 + 4.37177i 0.990614 + 0.379080i
\(134\) 8.18466 0.707047
\(135\) 7.01479 17.9500i 0.603737 1.54489i
\(136\) 3.99550 + 1.07059i 0.342611 + 0.0918023i
\(137\) −4.27489 1.14545i −0.365228 0.0978626i 0.0715375 0.997438i \(-0.477209\pi\)
−0.436766 + 0.899575i \(0.643876\pi\)
\(138\) 20.5062 13.2584i 1.74560 1.12863i
\(139\) −2.12187 −0.179975 −0.0899875 0.995943i \(-0.528683\pi\)
−0.0899875 + 0.995943i \(0.528683\pi\)
\(140\) −6.63968 41.6412i −0.561156 3.51932i
\(141\) −0.718649 + 1.40345i −0.0605212 + 0.118192i
\(142\) −22.5207 13.0023i −1.88989 1.09113i
\(143\) −9.25366 1.82382i −0.773830 0.152515i
\(144\) 16.0620 + 7.22873i 1.33850 + 0.602395i
\(145\) 1.15152 + 4.29752i 0.0956284 + 0.356890i
\(146\) 14.8879i 1.23213i
\(147\) −4.93065 + 11.0765i −0.406673 + 0.913574i
\(148\) −16.7990 + 16.7990i −1.38087 + 1.38087i
\(149\) −16.0468 + 4.29972i −1.31460 + 0.352247i −0.846954 0.531667i \(-0.821566\pi\)
−0.467650 + 0.883914i \(0.654899\pi\)
\(150\) 38.0087 1.91538i 3.10340 0.156390i
\(151\) −2.70205 + 10.0842i −0.219890 + 0.820640i 0.764498 + 0.644626i \(0.222987\pi\)
−0.984388 + 0.176014i \(0.943680\pi\)
\(152\) −23.0807 13.3257i −1.87209 1.08085i
\(153\) 1.74665 1.25832i 0.141208 0.101729i
\(154\) 10.1938 14.0612i 0.821438 1.13309i
\(155\) −15.1213 −1.21457
\(156\) −26.5570 3.85756i −2.12626 0.308852i
\(157\) −0.902803 1.56370i −0.0720516 0.124797i 0.827749 0.561099i \(-0.189621\pi\)
−0.899800 + 0.436302i \(0.856288\pi\)
\(158\) 2.26492 8.45281i 0.180188 0.672470i
\(159\) −4.69319 1.00743i −0.372194 0.0798942i
\(160\) 11.8845i 0.939550i
\(161\) −6.05997 13.5729i −0.477592 1.06970i
\(162\) 20.2049 10.0912i 1.58745 0.792838i
\(163\) 8.58348 2.29994i 0.672310 0.180145i 0.0935151 0.995618i \(-0.470190\pi\)
0.578795 + 0.815473i \(0.303523\pi\)
\(164\) 19.6118 + 5.25497i 1.53143 + 0.410345i
\(165\) 12.4655 + 11.2694i 0.970435 + 0.877321i
\(166\) 5.94690 + 3.43345i 0.461569 + 0.266487i
\(167\) −15.1062 + 15.1062i −1.16895 + 1.16895i −0.186495 + 0.982456i \(0.559713\pi\)
−0.982456 + 0.186495i \(0.940287\pi\)
\(168\) 14.4088 22.1406i 1.11167 1.70819i
\(169\) 12.8828 1.74199i 0.990981 0.134000i
\(170\) 5.78378 + 3.33927i 0.443596 + 0.256110i
\(171\) −12.9687 + 4.91850i −0.991739 + 0.376127i
\(172\) −10.3891 17.9945i −0.792162 1.37206i
\(173\) −6.29273 + 10.8993i −0.478428 + 0.828661i −0.999694 0.0247331i \(-0.992126\pi\)
0.521267 + 0.853394i \(0.325460\pi\)
\(174\) −2.37639 + 4.64086i −0.180154 + 0.351822i
\(175\) 2.39755 23.0415i 0.181238 1.74178i
\(176\) −10.8600 + 10.8600i −0.818605 + 0.818605i
\(177\) 8.29164 + 12.8243i 0.623238 + 0.963937i
\(178\) 13.3063 + 23.0471i 0.997347 + 1.72746i
\(179\) 2.00334 + 3.46988i 0.149736 + 0.259351i 0.931130 0.364687i \(-0.118824\pi\)
−0.781394 + 0.624039i \(0.785491\pi\)
\(180\) 37.0365 + 30.2388i 2.76054 + 2.25387i
\(181\) 4.67555i 0.347531i −0.984787 0.173766i \(-0.944407\pi\)
0.984787 0.173766i \(-0.0555935\pi\)
\(182\) −7.03485 + 22.8813i −0.521458 + 1.69607i
\(183\) −17.5312 + 5.65732i −1.29595 + 0.418201i
\(184\) 8.38212 + 31.2825i 0.617938 + 2.30618i
\(185\) −17.7579 + 10.2525i −1.30559 + 0.753782i
\(186\) −13.1451 11.8838i −0.963846 0.871364i
\(187\) 0.485823 + 1.81312i 0.0355269 + 0.132588i
\(188\) −2.76610 2.76610i −0.201738 0.201738i
\(189\) −4.18300 13.0959i −0.304269 0.952586i
\(190\) −30.4269 30.4269i −2.20740 2.20740i
\(191\) 13.1603 + 7.59811i 0.952247 + 0.549780i 0.893778 0.448509i \(-0.148045\pi\)
0.0584690 + 0.998289i \(0.481378\pi\)
\(192\) 4.29949 4.75581i 0.310289 0.343221i
\(193\) −0.511449 + 1.90875i −0.0368149 + 0.137395i −0.981887 0.189466i \(-0.939324\pi\)
0.945072 + 0.326861i \(0.105991\pi\)
\(194\) 24.1645 41.8542i 1.73491 3.00496i
\(195\) −21.2787 9.14855i −1.52380 0.655141i
\(196\) −22.3956 20.0810i −1.59969 1.43436i
\(197\) 14.6269 + 14.6269i 1.04213 + 1.04213i 0.999073 + 0.0430522i \(0.0137082\pi\)
0.0430522 + 0.999073i \(0.486292\pi\)
\(198\) 1.97975 + 19.5932i 0.140695 + 1.39243i
\(199\) −6.35018 + 3.66628i −0.450152 + 0.259895i −0.707894 0.706318i \(-0.750355\pi\)
0.257742 + 0.966214i \(0.417021\pi\)
\(200\) −13.0635 + 48.7537i −0.923729 + 3.44740i
\(201\) 3.06726 + 4.74401i 0.216348 + 0.334617i
\(202\) −29.1884 29.1884i −2.05369 2.05369i
\(203\) 2.56959 + 1.86284i 0.180350 + 0.130746i
\(204\) 1.64019 + 5.08271i 0.114836 + 0.355861i
\(205\) 15.1764 + 8.76209i 1.05997 + 0.611971i
\(206\) 4.65482 + 1.24726i 0.324317 + 0.0869004i
\(207\) 15.3697 + 6.91718i 1.06827 + 0.480777i
\(208\) 9.32954 19.0023i 0.646887 1.31757i
\(209\) 12.0941i 0.836566i
\(210\) 31.7233 28.5081i 2.18912 1.96725i
\(211\) 12.5260 0.862325 0.431163 0.902274i \(-0.358104\pi\)
0.431163 + 0.902274i \(0.358104\pi\)
\(212\) 5.95443 10.3134i 0.408952 0.708325i
\(213\) −0.903358 17.9262i −0.0618971 1.22828i
\(214\) −18.4726 4.94972i −1.26276 0.338356i
\(215\) −4.64160 17.3227i −0.316555 1.18140i
\(216\) 4.50731 + 29.6122i 0.306683 + 2.01486i
\(217\) −8.37589 + 6.79709i −0.568592 + 0.461416i
\(218\) −40.4453 −2.73930
\(219\) 8.62934 5.57934i 0.583117 0.377017i
\(220\) −36.1055 + 20.8455i −2.43423 + 1.40540i
\(221\) −1.44116 2.14869i −0.0969429 0.144536i
\(222\) −23.4946 5.04329i −1.57685 0.338483i
\(223\) −3.17920 + 3.17920i −0.212895 + 0.212895i −0.805496 0.592601i \(-0.798101\pi\)
0.592601 + 0.805496i \(0.298101\pi\)
\(224\) 5.34211 + 6.58296i 0.356935 + 0.439842i
\(225\) 15.3543 + 21.3129i 1.02362 + 1.42086i
\(226\) 6.13448 + 22.8942i 0.408059 + 1.52290i
\(227\) 2.93970 10.9711i 0.195115 0.728179i −0.797122 0.603818i \(-0.793645\pi\)
0.992237 0.124361i \(-0.0396880\pi\)
\(228\) −1.73188 34.3674i −0.114697 2.27604i
\(229\) 17.7017 4.74317i 1.16976 0.313437i 0.378905 0.925436i \(-0.376301\pi\)
0.790859 + 0.611998i \(0.209634\pi\)
\(230\) 52.2892i 3.44785i
\(231\) 11.9704 + 0.638986i 0.787595 + 0.0420422i
\(232\) −4.88965 4.88965i −0.321021 0.321021i
\(233\) −2.40978 + 4.17387i −0.157870 + 0.273439i −0.934100 0.357010i \(-0.883796\pi\)
0.776230 + 0.630449i \(0.217129\pi\)
\(234\) −11.3080 24.6758i −0.739225 1.61311i
\(235\) −1.68817 2.92399i −0.110124 0.190740i
\(236\) −36.5967 + 9.80607i −2.38225 + 0.638321i
\(237\) 5.74824 1.85496i 0.373388 0.120492i
\(238\) 4.70472 0.750168i 0.304962 0.0486262i
\(239\) 12.6692 + 12.6692i 0.819500 + 0.819500i 0.986036 0.166535i \(-0.0532579\pi\)
−0.166535 + 0.986036i \(0.553258\pi\)
\(240\) −31.6731 + 20.4784i −2.04449 + 1.32188i
\(241\) −3.25905 + 12.1629i −0.209934 + 0.783484i 0.777955 + 0.628320i \(0.216257\pi\)
−0.987889 + 0.155164i \(0.950410\pi\)
\(242\) 10.0767 + 2.70003i 0.647752 + 0.173565i
\(243\) 13.4210 + 7.92946i 0.860959 + 0.508675i
\(244\) 45.7029i 2.92583i
\(245\) −14.1853 21.7443i −0.906265 1.38920i
\(246\) 6.30687 + 19.5441i 0.402111 + 1.24608i
\(247\) 5.38595 + 15.7756i 0.342700 + 1.00378i
\(248\) 20.3535 11.7511i 1.29245 0.746194i
\(249\) 0.238545 + 4.73367i 0.0151172 + 0.299984i
\(250\) −17.4784 + 30.2734i −1.10543 + 1.91466i
\(251\) −18.7701 −1.18476 −0.592379 0.805660i \(-0.701811\pi\)
−0.592379 + 0.805660i \(0.701811\pi\)
\(252\) 34.1075 + 0.101615i 2.14857 + 0.00640112i
\(253\) −10.3920 + 10.3920i −0.653337 + 0.653337i
\(254\) −3.33830 12.4587i −0.209464 0.781729i
\(255\) 0.232002 + 4.60383i 0.0145285 + 0.288303i
\(256\) 15.9939 + 27.7023i 0.999620 + 1.73139i
\(257\) −5.88351 + 10.1905i −0.367003 + 0.635668i −0.989095 0.147276i \(-0.952950\pi\)
0.622092 + 0.782944i \(0.286283\pi\)
\(258\) 9.57889 18.7066i 0.596356 1.16462i
\(259\) −5.22778 + 13.6613i −0.324838 + 0.848869i
\(260\) 37.8130 43.2702i 2.34506 2.68350i
\(261\) −3.58052 + 0.361786i −0.221628 + 0.0223940i
\(262\) −24.3528 6.52532i −1.50452 0.403136i
\(263\) 12.2786 7.08907i 0.757133 0.437131i −0.0711324 0.997467i \(-0.522661\pi\)
0.828265 + 0.560336i \(0.189328\pi\)
\(264\) −25.5363 5.48156i −1.57165 0.337367i
\(265\) 7.26806 7.26806i 0.446474 0.446474i
\(266\) −30.5309 3.17684i −1.87197 0.194785i
\(267\) −8.37201 + 16.3497i −0.512359 + 1.00059i
\(268\) −13.5380 + 3.62748i −0.826962 + 0.221584i
\(269\) 2.26549 1.30798i 0.138129 0.0797490i −0.429343 0.903142i \(-0.641255\pi\)
0.567472 + 0.823393i \(0.307921\pi\)
\(270\) −5.34497 + 48.0651i −0.325284 + 2.92515i
\(271\) −22.9213 + 6.14174i −1.39237 + 0.373084i −0.875598 0.483040i \(-0.839533\pi\)
−0.516770 + 0.856124i \(0.672866\pi\)
\(272\) −4.21302 −0.255452
\(273\) −15.8989 + 4.49737i −0.962243 + 0.272193i
\(274\) 11.1059 0.670931
\(275\) −22.1239 + 5.92808i −1.33412 + 0.357477i
\(276\) −28.0424 + 31.0187i −1.68795 + 1.86710i
\(277\) 1.85506 1.07102i 0.111460 0.0643514i −0.443234 0.896406i \(-0.646169\pi\)
0.554694 + 0.832055i \(0.312835\pi\)
\(278\) 5.14323 1.37812i 0.308470 0.0826544i
\(279\) 1.96190 12.0728i 0.117456 0.722777i
\(280\) 23.0612 + 51.6517i 1.37817 + 3.08678i
\(281\) −10.3426 + 10.3426i −0.616987 + 0.616987i −0.944758 0.327770i \(-0.893703\pi\)
0.327770 + 0.944758i \(0.393703\pi\)
\(282\) 0.830421 3.86858i 0.0494508 0.230371i
\(283\) −0.330377 + 0.190743i −0.0196389 + 0.0113385i −0.509787 0.860300i \(-0.670276\pi\)
0.490148 + 0.871639i \(0.336943\pi\)
\(284\) 43.0133 + 11.5254i 2.55237 + 0.683906i
\(285\) 6.23341 29.0389i 0.369235 1.72011i
\(286\) 23.6145 1.58934i 1.39636 0.0939794i
\(287\) 12.3450 1.96841i 0.728701 0.116191i
\(288\) −9.48848 1.54194i −0.559114 0.0908596i
\(289\) 8.24255 14.2765i 0.484856 0.839795i
\(290\) −5.58235 9.66891i −0.327807 0.567778i
\(291\) 33.3155 1.67887i 1.95299 0.0984173i
\(292\) 6.59838 + 24.6255i 0.386141 + 1.44110i
\(293\) 9.54534 9.54534i 0.557645 0.557645i −0.370992 0.928636i \(-0.620982\pi\)
0.928636 + 0.370992i \(0.120982\pi\)
\(294\) 4.75744 30.0508i 0.277459 1.75260i
\(295\) −32.7011 −1.90393
\(296\) 15.9349 27.6000i 0.926197 1.60422i
\(297\) −10.6147 + 8.49020i −0.615928 + 0.492651i
\(298\) 36.1033 20.8443i 2.09141 1.20748i
\(299\) 8.92743 18.1833i 0.516287 1.05157i
\(300\) −62.0200 + 20.0138i −3.58072 + 1.15550i
\(301\) −10.3577 7.50884i −0.597005 0.432802i
\(302\) 26.1981i 1.50753i
\(303\) 5.97968 27.8568i 0.343524 1.60033i
\(304\) 26.2198 + 7.02557i 1.50381 + 0.402944i
\(305\) 10.2095 38.1023i 0.584593 2.18173i
\(306\) −3.41646 + 4.18448i −0.195306 + 0.239211i
\(307\) 22.5415 + 22.5415i 1.28651 + 1.28651i 0.936892 + 0.349620i \(0.113689\pi\)
0.349620 + 0.936892i \(0.386311\pi\)
\(308\) −10.6291 + 27.7761i −0.605652 + 1.58269i
\(309\) 1.02149 + 3.16546i 0.0581107 + 0.180077i
\(310\) 36.6527 9.82105i 2.08173 0.557798i
\(311\) 5.70705 + 9.88490i 0.323617 + 0.560522i 0.981232 0.192833i \(-0.0617677\pi\)
−0.657614 + 0.753355i \(0.728434\pi\)
\(312\) 35.7509 4.22208i 2.02400 0.239028i
\(313\) 10.4355 18.0749i 0.589852 1.02165i −0.404400 0.914582i \(-0.632519\pi\)
0.994251 0.107071i \(-0.0341472\pi\)
\(314\) 3.20391 + 3.20391i 0.180807 + 0.180807i
\(315\) 28.4125 + 7.70391i 1.60086 + 0.434066i
\(316\) 14.9853i 0.842991i
\(317\) 2.30184 0.616776i 0.129284 0.0346416i −0.193597 0.981081i \(-0.562015\pi\)
0.322881 + 0.946440i \(0.395349\pi\)
\(318\) 12.0302 0.606238i 0.674617 0.0339961i
\(319\) 0.812163 3.03103i 0.0454724 0.169705i
\(320\) 3.55319 + 13.2607i 0.198629 + 0.741295i
\(321\) −4.05379 12.5621i −0.226260 0.701148i
\(322\) 23.5042 + 28.9637i 1.30984 + 1.61408i
\(323\) 2.34588 2.34588i 0.130528 0.130528i
\(324\) −28.9477 + 25.6464i −1.60821 + 1.42480i
\(325\) 26.2186 17.5852i 1.45435 0.975454i
\(326\) −19.3118 + 11.1497i −1.06958 + 0.617523i
\(327\) −15.1572 23.4430i −0.838195 1.29640i
\(328\) −27.2368 −1.50390
\(329\) −2.24944 0.860799i −0.124016 0.0474574i
\(330\) −37.5344 19.2198i −2.06620 1.05802i
\(331\) 2.10669 + 7.86228i 0.115794 + 0.432150i 0.999345 0.0361852i \(-0.0115206\pi\)
−0.883551 + 0.468335i \(0.844854\pi\)
\(332\) −11.3583 3.04344i −0.623367 0.167031i
\(333\) −5.88157 15.5080i −0.322308 0.849833i
\(334\) 26.8048 46.4272i 1.46669 2.54038i
\(335\) −12.0969 −0.660922
\(336\) −8.33902 + 25.5804i −0.454931 + 1.39553i
\(337\) 17.1778i 0.935733i −0.883799 0.467867i \(-0.845023\pi\)
0.883799 0.467867i \(-0.154977\pi\)
\(338\) −30.0952 + 12.5896i −1.63696 + 0.684783i
\(339\) −10.9710 + 12.1355i −0.595865 + 0.659107i
\(340\) −11.0467 2.95996i −0.599093 0.160527i
\(341\) 9.23619 + 5.33252i 0.500168 + 0.288772i
\(342\) 28.2404 20.3449i 1.52706 1.10013i
\(343\) −17.6316 5.66813i −0.952015 0.306050i
\(344\) 19.7095 + 19.7095i 1.06266 + 1.06266i
\(345\) −30.3080 + 19.5958i −1.63173 + 1.05500i
\(346\) 8.17406 30.5060i 0.439440 1.64001i
\(347\) 8.99067 5.19077i 0.482645 0.278655i −0.238873 0.971051i \(-0.576778\pi\)
0.721518 + 0.692396i \(0.243445\pi\)
\(348\) 1.87385 8.72951i 0.100449 0.467951i
\(349\) −1.14175 1.14175i −0.0611163 0.0611163i 0.675888 0.737004i \(-0.263760\pi\)
−0.737004 + 0.675888i \(0.763760\pi\)
\(350\) 9.15366 + 57.4077i 0.489284 + 3.06857i
\(351\) 10.0649 15.8018i 0.537226 0.843438i
\(352\) 4.19105 7.25911i 0.223384 0.386912i
\(353\) 2.65621 9.91309i 0.141376 0.527621i −0.858514 0.512789i \(-0.828612\pi\)
0.999890 0.0148314i \(-0.00472114\pi\)
\(354\) −28.4274 25.6997i −1.51090 1.36593i
\(355\) 33.2854 + 19.2173i 1.76660 + 1.01995i
\(356\) −32.2240 32.2240i −1.70787 1.70787i
\(357\) 2.19795 + 2.44583i 0.116328 + 0.129447i
\(358\) −7.10954 7.10954i −0.375751 0.375751i
\(359\) −7.24828 27.0510i −0.382550 1.42769i −0.841993 0.539488i \(-0.818618\pi\)
0.459444 0.888207i \(-0.348049\pi\)
\(360\) −58.4894 26.3233i −3.08266 1.38736i
\(361\) −2.05710 + 1.18767i −0.108268 + 0.0625087i
\(362\) 3.03670 + 11.3331i 0.159605 + 0.595655i
\(363\) 2.21130 + 6.85251i 0.116063 + 0.359664i
\(364\) 1.49500 40.9650i 0.0783595 2.14715i
\(365\) 22.0042i 1.15175i
\(366\) 38.8197 25.0991i 2.02914 1.31195i
\(367\) 5.92235 + 10.2578i 0.309144 + 0.535453i 0.978175 0.207781i \(-0.0666242\pi\)
−0.669031 + 0.743234i \(0.733291\pi\)
\(368\) −16.4928 28.5664i −0.859747 1.48913i
\(369\) −8.96464 + 10.9799i −0.466680 + 0.571590i
\(370\) 36.3847 36.3847i 1.89155 1.89155i
\(371\) 0.758851 7.29289i 0.0393976 0.378628i
\(372\) 27.0098 + 13.8306i 1.40039 + 0.717085i
\(373\) −13.3628 + 23.1451i −0.691902 + 1.19841i 0.279313 + 0.960200i \(0.409893\pi\)
−0.971214 + 0.238208i \(0.923440\pi\)
\(374\) −2.35518 4.07929i −0.121783 0.210935i
\(375\) −24.0973 + 1.21434i −1.24438 + 0.0627083i
\(376\) 4.54458 + 2.62382i 0.234369 + 0.135313i
\(377\) 0.290440 + 4.31539i 0.0149584 + 0.222254i
\(378\) 18.6448 + 29.0264i 0.958984 + 1.49296i
\(379\) 8.27837 8.27837i 0.425231 0.425231i −0.461769 0.887000i \(-0.652785\pi\)
0.887000 + 0.461769i \(0.152785\pi\)
\(380\) 63.8135 + 36.8427i 3.27356 + 1.88999i
\(381\) 5.97030 6.60395i 0.305868 0.338331i
\(382\) −36.8342 9.86971i −1.88460 0.504978i
\(383\) −4.88230 + 1.30821i −0.249474 + 0.0668463i −0.381389 0.924415i \(-0.624554\pi\)
0.131915 + 0.991261i \(0.457887\pi\)
\(384\) −12.3919 + 24.2002i −0.632373 + 1.23496i
\(385\) −15.0663 + 20.7824i −0.767851 + 1.05917i
\(386\) 4.95882i 0.252397i
\(387\) 14.4325 1.45831i 0.733647 0.0741299i
\(388\) −21.4197 + 79.9394i −1.08742 + 4.05831i
\(389\) 6.23093 + 10.7923i 0.315921 + 0.547191i 0.979633 0.200797i \(-0.0643533\pi\)
−0.663712 + 0.747988i \(0.731020\pi\)
\(390\) 57.5195 + 8.35504i 2.91261 + 0.423074i
\(391\) −4.03144 −0.203879
\(392\) 35.9915 + 18.2445i 1.81785 + 0.921484i
\(393\) −5.34418 16.5609i −0.269578 0.835385i
\(394\) −44.9542 25.9543i −2.26476 1.30756i
\(395\) −3.34754 + 12.4932i −0.168433 + 0.628601i
\(396\) −11.9584 31.5309i −0.600934 1.58449i
\(397\) −32.1566 + 8.61633i −1.61389 + 0.432441i −0.949200 0.314674i \(-0.898105\pi\)
−0.664694 + 0.747116i \(0.731438\pi\)
\(398\) 13.0111 13.0111i 0.652185 0.652185i
\(399\) −9.60031 18.8869i −0.480616 0.945529i
\(400\) 51.4079i 2.57040i
\(401\) −1.74637 6.51755i −0.0872097 0.325471i 0.908514 0.417855i \(-0.137218\pi\)
−0.995723 + 0.0923840i \(0.970551\pi\)
\(402\) −10.5159 9.50691i −0.524486 0.474161i
\(403\) −14.4225 2.84256i −0.718437 0.141598i
\(404\) 61.2160 + 35.3431i 3.04561 + 1.75838i
\(405\) −29.8627 + 14.9147i −1.48389 + 0.741118i
\(406\) −7.43834 2.84644i −0.369159 0.141267i
\(407\) 14.4622 0.716864
\(408\) −3.89000 6.01651i −0.192584 0.297862i
\(409\) 21.3966 + 5.73320i 1.05799 + 0.283488i 0.745551 0.666449i \(-0.232186\pi\)
0.312442 + 0.949937i \(0.398853\pi\)
\(410\) −42.4770 11.3817i −2.09779 0.562101i
\(411\) 4.16201 + 6.43722i 0.205297 + 0.317525i
\(412\) −8.25217 −0.406555
\(413\) −18.1135 + 14.6993i −0.891309 + 0.723303i
\(414\) −41.7473 6.78421i −2.05177 0.333426i
\(415\) −8.78948 5.07461i −0.431459 0.249103i
\(416\) −2.23409 + 11.3353i −0.109535 + 0.555757i
\(417\) 2.72626 + 2.46467i 0.133505 + 0.120695i
\(418\) 7.85492 + 29.3150i 0.384197 + 1.43384i
\(419\) 19.3975i 0.947628i 0.880625 + 0.473814i \(0.157123\pi\)
−0.880625 + 0.473814i \(0.842877\pi\)
\(420\) −39.8375 + 61.2143i −1.94387 + 2.98695i
\(421\) 18.5575 18.5575i 0.904435 0.904435i −0.0913811 0.995816i \(-0.529128\pi\)
0.995816 + 0.0913811i \(0.0291281\pi\)
\(422\) −30.3619 + 8.13544i −1.47799 + 0.396027i
\(423\) 2.55353 0.968451i 0.124157 0.0470877i
\(424\) −4.13473 + 15.4310i −0.200800 + 0.749398i
\(425\) −5.44122 3.14149i −0.263938 0.152385i
\(426\) 13.8324 + 42.8647i 0.670184 + 2.07680i
\(427\) −11.4720 25.6945i −0.555167 1.24345i
\(428\) 32.7487 1.58297
\(429\) 9.77095 + 13.0919i 0.471746 + 0.632083i
\(430\) 22.5016 + 38.9740i 1.08512 + 1.87949i
\(431\) −0.947166 + 3.53487i −0.0456234 + 0.170269i −0.984978 0.172677i \(-0.944758\pi\)
0.939355 + 0.342946i \(0.111425\pi\)
\(432\) −12.2404 27.9445i −0.588917 1.34448i
\(433\) 12.2523i 0.588807i 0.955681 + 0.294403i \(0.0951209\pi\)
−0.955681 + 0.294403i \(0.904879\pi\)
\(434\) 15.8878 21.9155i 0.762638 1.05198i
\(435\) 3.51229 6.85915i 0.168401 0.328871i
\(436\) 66.8992 17.9256i 3.20389 0.858480i
\(437\) 25.0897 + 6.72277i 1.20020 + 0.321594i
\(438\) −17.2930 + 19.1284i −0.826293 + 0.913991i
\(439\) −32.7391 18.9019i −1.56255 0.902140i −0.996998 0.0774293i \(-0.975329\pi\)
−0.565555 0.824711i \(-0.691338\pi\)
\(440\) 39.5466 39.5466i 1.88531 1.88531i
\(441\) 19.2010 8.50424i 0.914333 0.404964i
\(442\) 4.88877 + 4.27221i 0.232535 + 0.203208i
\(443\) −23.7495 13.7118i −1.12837 0.651467i −0.184849 0.982767i \(-0.559179\pi\)
−0.943525 + 0.331300i \(0.892513\pi\)
\(444\) 41.0968 2.07100i 1.95037 0.0982852i
\(445\) −19.6666 34.0635i −0.932285 1.61476i
\(446\) 5.64125 9.77093i 0.267121 0.462667i
\(447\) 25.6118 + 13.1147i 1.21140 + 0.620306i
\(448\) 7.92889 + 5.74809i 0.374605 + 0.271572i
\(449\) −21.3150 + 21.3150i −1.00592 + 1.00592i −0.00593671 + 0.999982i \(0.501890\pi\)
−0.999982 + 0.00593671i \(0.998110\pi\)
\(450\) −51.0597 41.6881i −2.40698 1.96520i
\(451\) −6.17989 10.7039i −0.290999 0.504026i
\(452\) −20.2936 35.1496i −0.954533 1.65330i
\(453\) 15.1850 9.81793i 0.713453 0.461287i
\(454\) 28.5023i 1.33768i
\(455\) 10.3975 33.8183i 0.487440 1.58543i
\(456\) 14.1764 + 43.9307i 0.663872 + 2.05724i
\(457\) −4.17516 15.5819i −0.195306 0.728890i −0.992188 0.124755i \(-0.960185\pi\)
0.796882 0.604135i \(-0.206481\pi\)
\(458\) −39.8268 + 22.9940i −1.86098 + 1.07444i
\(459\) −3.70576 0.412091i −0.172970 0.0192347i
\(460\) −23.1749 86.4898i −1.08053 4.03261i
\(461\) 0.939708 + 0.939708i 0.0437665 + 0.0437665i 0.728651 0.684885i \(-0.240147\pi\)
−0.684885 + 0.728651i \(0.740147\pi\)
\(462\) −29.4302 + 6.22574i −1.36921 + 0.289648i
\(463\) −28.7736 28.7736i −1.33722 1.33722i −0.898740 0.438483i \(-0.855516\pi\)
−0.438483 0.898740i \(-0.644484\pi\)
\(464\) 6.09943 + 3.52151i 0.283159 + 0.163482i
\(465\) 19.4284 + 17.5642i 0.900969 + 0.814520i
\(466\) 3.13023 11.6822i 0.145005 0.541167i
\(467\) −13.7213 + 23.7659i −0.634945 + 1.09976i 0.351582 + 0.936157i \(0.385644\pi\)
−0.986527 + 0.163600i \(0.947689\pi\)
\(468\) 29.6406 + 35.8037i 1.37014 + 1.65503i
\(469\) −6.70061 + 5.43758i −0.309405 + 0.251084i
\(470\) 5.99105 + 5.99105i 0.276347 + 0.276347i
\(471\) −0.656369 + 3.05775i −0.0302439 + 0.140894i
\(472\) 44.0160 25.4127i 2.02600 1.16971i
\(473\) −3.27371 + 12.2177i −0.150525 + 0.561769i
\(474\) −12.7284 + 8.22963i −0.584636 + 0.377999i
\(475\) 28.6248 + 28.6248i 1.31340 + 1.31340i
\(476\) −7.44944 + 3.32599i −0.341444 + 0.152446i
\(477\) 4.85978 + 6.74576i 0.222514 + 0.308867i
\(478\) −38.9373 22.4805i −1.78095 1.02823i
\(479\) 9.97919 + 2.67392i 0.455961 + 0.122174i 0.479487 0.877549i \(-0.340823\pi\)
−0.0235263 + 0.999723i \(0.507489\pi\)
\(480\) 13.8044 15.2696i 0.630083 0.696957i
\(481\) −18.8646 + 6.44055i −0.860151 + 0.293664i
\(482\) 31.5985i 1.43927i
\(483\) −7.97961 + 24.4779i −0.363085 + 1.11378i
\(484\) −17.8641 −0.812005
\(485\) −35.7150 + 61.8602i −1.62174 + 2.80893i
\(486\) −37.6814 10.5035i −1.70926 0.476450i
\(487\) 21.6658 + 5.80535i 0.981773 + 0.263065i 0.713791 0.700359i \(-0.246977\pi\)
0.267982 + 0.963424i \(0.413643\pi\)
\(488\) 15.8680 + 59.2201i 0.718309 + 2.68077i
\(489\) −13.6998 7.01513i −0.619528 0.317235i
\(490\) 48.5064 + 43.4932i 2.19130 + 1.96482i
\(491\) 10.5715 0.477083 0.238542 0.971132i \(-0.423331\pi\)
0.238542 + 0.971132i \(0.423331\pi\)
\(492\) −19.0940 29.5319i −0.860824 1.33140i
\(493\) 0.745462 0.430392i 0.0335739 0.0193839i
\(494\) −23.3011 34.7406i −1.04836 1.56305i
\(495\) −2.92606 28.9586i −0.131517 1.30159i
\(496\) −16.9262 + 16.9262i −0.760008 + 0.760008i
\(497\) 27.0754 4.31718i 1.21450 0.193652i
\(498\) −3.65265 11.3190i −0.163679 0.507218i
\(499\) 2.11971 + 7.91086i 0.0948912 + 0.354139i 0.997003 0.0773638i \(-0.0246503\pi\)
−0.902112 + 0.431502i \(0.857984\pi\)
\(500\) 15.4930 57.8208i 0.692869 2.58582i
\(501\) 36.9555 1.86231i 1.65105 0.0832017i
\(502\) 45.4969 12.1909i 2.03063 0.544105i
\(503\) 11.3010i 0.503885i 0.967742 + 0.251943i \(0.0810694\pi\)
−0.967742 + 0.251943i \(0.918931\pi\)
\(504\) −44.2304 + 11.7104i −1.97018 + 0.521622i
\(505\) 43.1402 + 43.1402i 1.91972 + 1.91972i
\(506\) 18.4397 31.9386i 0.819746 1.41984i
\(507\) −18.5756 12.7258i −0.824972 0.565174i
\(508\) 11.0435 + 19.1280i 0.489978 + 0.848666i
\(509\) −10.5043 + 2.81462i −0.465595 + 0.124756i −0.483987 0.875075i \(-0.660812\pi\)
0.0183923 + 0.999831i \(0.494145\pi\)
\(510\) −3.55246 11.0086i −0.157306 0.487468i
\(511\) 9.89095 + 12.1884i 0.437550 + 0.539182i
\(512\) −34.5607 34.5607i −1.52738 1.52738i
\(513\) 22.3757 + 8.74433i 0.987910 + 0.386072i
\(514\) 7.64249 28.5222i 0.337096 1.25806i
\(515\) −6.87979 1.84344i −0.303160 0.0812315i
\(516\) −7.55323 + 35.1874i −0.332513 + 1.54904i
\(517\) 2.38132i 0.104730i
\(518\) 3.79889 36.5090i 0.166914 1.60411i
\(519\) 20.7453 6.69449i 0.910616 0.293855i
\(520\) −33.9733 + 69.1965i −1.48983 + 3.03447i
\(521\) −30.7947 + 17.7793i −1.34914 + 0.778926i −0.988128 0.153635i \(-0.950902\pi\)
−0.361012 + 0.932561i \(0.617569\pi\)
\(522\) 8.44386 3.20242i 0.369578 0.140166i
\(523\) 9.50808 16.4685i 0.415759 0.720116i −0.579748 0.814796i \(-0.696849\pi\)
0.995508 + 0.0946792i \(0.0301825\pi\)
\(524\) 43.1732 1.88603
\(525\) −29.8444 + 26.8197i −1.30252 + 1.17051i
\(526\) −25.1580 + 25.1580i −1.09694 + 1.09694i
\(527\) 0.757192 + 2.82588i 0.0329838 + 0.123097i
\(528\) 26.5678 1.33884i 1.15622 0.0582654i
\(529\) −4.28196 7.41658i −0.186172 0.322460i
\(530\) −12.8966 + 22.3376i −0.560193 + 0.970283i
\(531\) 4.24277 26.1083i 0.184121 1.13300i
\(532\) 51.9080 8.27674i 2.25050 0.358842i
\(533\) 12.8279 + 11.2101i 0.555639 + 0.485563i
\(534\) 9.67411 45.0676i 0.418640 1.95027i
\(535\) 27.3024 + 7.31566i 1.18039 + 0.316283i
\(536\) 16.2825 9.40071i 0.703297 0.406049i
\(537\) 1.45649 6.78520i 0.0628524 0.292803i
\(538\) −4.64182 + 4.64182i −0.200123 + 0.200123i
\(539\) 0.996339 + 18.2840i 0.0429154 + 0.787548i
\(540\) −12.4618 81.8717i −0.536270 3.52320i
\(541\) 14.0981 3.77756i 0.606123 0.162410i 0.0573115 0.998356i \(-0.481747\pi\)
0.548811 + 0.835946i \(0.315081\pi\)
\(542\) 51.5701 29.7740i 2.21513 1.27890i
\(543\) −5.43090 + 6.00731i −0.233062 + 0.257798i
\(544\) 2.22098 0.595109i 0.0952236 0.0255151i
\(545\) 59.7779 2.56060
\(546\) 35.6164 21.2273i 1.52424 0.908443i
\(547\) −14.8115 −0.633294 −0.316647 0.948543i \(-0.602557\pi\)
−0.316647 + 0.948543i \(0.602557\pi\)
\(548\) −18.3698 + 4.92219i −0.784721 + 0.210265i
\(549\) 29.0960 + 13.0947i 1.24179 + 0.558869i
\(550\) 49.7761 28.7382i 2.12246 1.22540i
\(551\) −5.35711 + 1.43543i −0.228220 + 0.0611515i
\(552\) 25.5666 49.9291i 1.08819 2.12512i
\(553\) 3.76149 + 8.42487i 0.159955 + 0.358262i
\(554\) −3.80089 + 3.80089i −0.161484 + 0.161484i
\(555\) 34.7248 + 7.45394i 1.47399 + 0.316402i
\(556\) −7.89644 + 4.55901i −0.334884 + 0.193345i
\(557\) −27.4039 7.34285i −1.16114 0.311127i −0.373719 0.927542i \(-0.621918\pi\)
−0.787421 + 0.616415i \(0.788584\pi\)
\(558\) 3.08559 + 30.5375i 0.130624 + 1.29275i
\(559\) −1.17072 17.3947i −0.0495163 0.735718i
\(560\) −36.3037 44.7362i −1.53411 1.89045i
\(561\) 1.48183 2.89386i 0.0625628 0.122179i
\(562\) 18.3521 31.7868i 0.774138 1.34085i
\(563\) 2.87990 + 4.98814i 0.121373 + 0.210225i 0.920310 0.391191i \(-0.127937\pi\)
−0.798936 + 0.601416i \(0.794603\pi\)
\(564\) 0.341007 + 6.76694i 0.0143590 + 0.284939i
\(565\) −9.06671 33.8374i −0.381440 1.42355i
\(566\) 0.676918 0.676918i 0.0284530 0.0284530i
\(567\) −9.83710 + 21.6848i −0.413119 + 0.910677i
\(568\) −59.7366 −2.50649
\(569\) 13.6368 23.6197i 0.571686 0.990189i −0.424707 0.905331i \(-0.639623\pi\)
0.996393 0.0848585i \(-0.0270438\pi\)
\(570\) 3.75107 + 74.4360i 0.157115 + 3.11778i
\(571\) −19.1573 + 11.0605i −0.801707 + 0.462866i −0.844068 0.536237i \(-0.819845\pi\)
0.0423609 + 0.999102i \(0.486512\pi\)
\(572\) −38.3556 + 13.0950i −1.60373 + 0.547528i
\(573\) −8.08321 25.0487i −0.337681 1.04642i
\(574\) −28.6446 + 12.7891i −1.19560 + 0.533807i
\(575\) 49.1922i 2.05146i
\(576\) −11.0482 + 1.11635i −0.460344 + 0.0465145i
\(577\) −25.4078 6.80800i −1.05774 0.283421i −0.312294 0.949986i \(-0.601097\pi\)
−0.745447 + 0.666565i \(0.767764\pi\)
\(578\) −10.7068 + 39.9583i −0.445344 + 1.66205i
\(579\) 2.87424 1.85835i 0.119449 0.0772306i
\(580\) 13.5189 + 13.5189i 0.561341 + 0.561341i
\(581\) −7.14966 + 1.14001i −0.296618 + 0.0472957i
\(582\) −79.6632 + 25.7073i −3.30215 + 1.06560i
\(583\) −7.00245 + 1.87630i −0.290012 + 0.0777084i
\(584\) −17.0999 29.6178i −0.707597 1.22559i
\(585\) 16.7131 + 36.4707i 0.691002 + 1.50788i
\(586\) −16.9375 + 29.3366i −0.699680 + 1.21188i
\(587\) 10.0075 + 10.0075i 0.413052 + 0.413052i 0.882801 0.469748i \(-0.155655\pi\)
−0.469748 + 0.882801i \(0.655655\pi\)
\(588\) 5.44955 + 51.8144i 0.224736 + 2.13679i
\(589\) 18.8496i 0.776683i
\(590\) 79.2644 21.2388i 3.26326 0.874389i
\(591\) −1.80322 35.7831i −0.0741747 1.47192i
\(592\) −8.40121 + 31.3538i −0.345288 + 1.28863i
\(593\) 3.76514 + 14.0517i 0.154616 + 0.577034i 0.999138 + 0.0415135i \(0.0132180\pi\)
−0.844522 + 0.535521i \(0.820115\pi\)
\(594\) 20.2148 27.4735i 0.829425 1.12725i
\(595\) −6.95355 + 1.10874i −0.285068 + 0.0454540i
\(596\) −50.4789 + 50.4789i −2.06770 + 2.06770i
\(597\) 12.4175 + 2.66551i 0.508214 + 0.109092i
\(598\) −9.82951 + 49.8728i −0.401959 + 2.03945i
\(599\) −4.28171 + 2.47204i −0.174946 + 0.101005i −0.584916 0.811094i \(-0.698872\pi\)
0.409970 + 0.912099i \(0.365539\pi\)
\(600\) 73.4143 47.4664i 2.99713 1.93781i
\(601\) −14.4246 −0.588392 −0.294196 0.955745i \(-0.595052\pi\)
−0.294196 + 0.955745i \(0.595052\pi\)
\(602\) 29.9829 + 11.4736i 1.22201 + 0.467629i
\(603\) 1.56950 9.65805i 0.0639148 0.393306i
\(604\) 11.6111 + 43.3333i 0.472450 + 1.76321i
\(605\) −14.8932 3.99063i −0.605496 0.162242i
\(606\) 3.59838 + 71.4061i 0.146174 + 2.90067i
\(607\) −12.9626 + 22.4520i −0.526138 + 0.911297i 0.473399 + 0.880848i \(0.343027\pi\)
−0.999536 + 0.0304489i \(0.990306\pi\)
\(608\) −14.8147 −0.600814
\(609\) −1.13771 5.37816i −0.0461024 0.217934i
\(610\) 98.9873i 4.00788i
\(611\) −1.06049 3.10622i −0.0429029 0.125664i
\(612\) 3.79646 8.43560i 0.153463 0.340989i
\(613\) −9.97821 2.67365i −0.403016 0.107988i 0.0516164 0.998667i \(-0.483563\pi\)
−0.454632 + 0.890679i \(0.650229\pi\)
\(614\) −69.2788 39.9982i −2.79587 1.61419i
\(615\) −9.32150 28.8860i −0.375879 1.16480i
\(616\) 4.12902 39.6817i 0.166363 1.59882i
\(617\) −21.0842 21.0842i −0.848818 0.848818i 0.141168 0.989986i \(-0.454914\pi\)
−0.989986 + 0.141168i \(0.954914\pi\)
\(618\) −4.53192 7.00933i −0.182300 0.281957i
\(619\) −3.41253 + 12.7357i −0.137161 + 0.511893i 0.862818 + 0.505514i \(0.168697\pi\)
−0.999980 + 0.00637874i \(0.997970\pi\)
\(620\) −56.2732 + 32.4893i −2.25998 + 1.30480i
\(621\) −11.7129 26.7401i −0.470021 1.07304i
\(622\) −20.2535 20.2535i −0.812089 0.812089i
\(623\) −26.2052 10.0280i −1.04989 0.401763i
\(624\) −34.0590 + 13.5780i −1.36345 + 0.543556i
\(625\) 3.94317 6.82976i 0.157727 0.273191i
\(626\) −13.5554 + 50.5896i −0.541784 + 2.02197i
\(627\) −14.0479 + 15.5389i −0.561020 + 0.620564i
\(628\) −6.71947 3.87949i −0.268136 0.154808i
\(629\) 2.80522 + 2.80522i 0.111851 + 0.111851i
\(630\) −73.8729 0.220086i −2.94317 0.00876842i
\(631\) 12.2359 + 12.2359i 0.487104 + 0.487104i 0.907391 0.420287i \(-0.138071\pi\)
−0.420287 + 0.907391i \(0.638071\pi\)
\(632\) −5.20288 19.4174i −0.206959 0.772383i
\(633\) −16.0938 14.5496i −0.639672 0.578295i
\(634\) −5.17886 + 2.99002i −0.205679 + 0.118749i
\(635\) 4.93399 + 18.4139i 0.195799 + 0.730733i
\(636\) −19.6300 + 6.33458i −0.778379 + 0.251183i
\(637\) −9.44218 23.4061i −0.374113 0.927383i
\(638\) 7.87443i 0.311752i
\(639\) −19.6616 + 24.0815i −0.777799 + 0.952648i
\(640\) −29.1097 50.4195i −1.15066 1.99300i
\(641\) −20.3458 35.2400i −0.803612 1.39190i −0.917224 0.398372i \(-0.869575\pi\)
0.113612 0.993525i \(-0.463758\pi\)
\(642\) 17.9849 + 27.8165i 0.709806 + 1.09783i
\(643\) −17.8828 + 17.8828i −0.705229 + 0.705229i −0.965528 0.260299i \(-0.916179\pi\)
0.260299 + 0.965528i \(0.416179\pi\)
\(644\) −51.7143 37.4906i −2.03783 1.47734i
\(645\) −14.1575 + 27.6482i −0.557452 + 1.08865i
\(646\) −4.16259 + 7.20981i −0.163775 + 0.283666i
\(647\) 7.90638 + 13.6943i 0.310832 + 0.538377i 0.978543 0.206044i \(-0.0660591\pi\)
−0.667711 + 0.744421i \(0.732726\pi\)
\(648\) 28.6050 43.2822i 1.12371 1.70029i
\(649\) 19.9740 + 11.5320i 0.784049 + 0.452671i
\(650\) −52.1301 + 59.6535i −2.04471 + 2.33980i
\(651\) 18.6568 + 0.995908i 0.731217 + 0.0390327i
\(652\) 27.0014 27.0014i 1.05746 1.05746i
\(653\) −43.4808 25.1036i −1.70153 0.982381i −0.944212 0.329340i \(-0.893174\pi\)
−0.757322 0.653041i \(-0.773493\pi\)
\(654\) 51.9655 + 46.9794i 2.03201 + 1.83704i
\(655\) 35.9933 + 9.64438i 1.40637 + 0.376837i
\(656\) 26.7958 7.17990i 1.04620 0.280328i
\(657\) −17.5680 2.85491i −0.685391 0.111381i
\(658\) 6.01152 + 0.625519i 0.234353 + 0.0243853i
\(659\) 41.1531i 1.60310i −0.597930 0.801548i \(-0.704010\pi\)
0.597930 0.801548i \(-0.295990\pi\)
\(660\) 70.6027 + 15.1554i 2.74821 + 0.589923i
\(661\) 3.36505 12.5585i 0.130885 0.488470i −0.869096 0.494644i \(-0.835299\pi\)
0.999981 + 0.00617374i \(0.00196518\pi\)
\(662\) −10.2129 17.6892i −0.396934 0.687509i
\(663\) −0.644164 + 4.43469i −0.0250172 + 0.172229i
\(664\) 15.7743 0.612162
\(665\) 45.1244 + 4.69535i 1.74985 + 0.182078i
\(666\) 24.3286 + 33.7700i 0.942713 + 1.30856i
\(667\) 5.83655 + 3.36973i 0.225992 + 0.130477i
\(668\) −23.7600 + 88.6736i −0.919303 + 3.43088i
\(669\) 7.77755 0.391936i 0.300698 0.0151531i
\(670\) 29.3217 7.85672i 1.13280 0.303532i
\(671\) −19.6727 + 19.6727i −0.759458 + 0.759458i
\(672\) 0.782725 14.6631i 0.0301943 0.565643i
\(673\) 50.2523i 1.93709i −0.248847 0.968543i \(-0.580052\pi\)
0.248847 0.968543i \(-0.419948\pi\)
\(674\) 11.1567 + 41.6373i 0.429740 + 1.60381i
\(675\) 5.02839 45.2183i 0.193543 1.74045i
\(676\) 44.1997 34.1623i 1.69999 1.31394i
\(677\) 32.2713 + 18.6318i 1.24029 + 0.716080i 0.969152 0.246462i \(-0.0792680\pi\)
0.271134 + 0.962542i \(0.412601\pi\)
\(678\) 18.7110 36.5407i 0.718592 1.40334i
\(679\) 8.02339 + 50.3192i 0.307910 + 1.93107i
\(680\) 15.3416 0.588325
\(681\) −16.5206 + 10.6814i −0.633069 + 0.409314i
\(682\) −25.8510 6.92677i −0.989888 0.265240i
\(683\) 41.3864 + 11.0895i 1.58361 + 0.424326i 0.940040 0.341064i \(-0.110787\pi\)
0.643567 + 0.765390i \(0.277454\pi\)
\(684\) −37.6944 + 46.1681i −1.44128 + 1.76528i
\(685\) −16.4144 −0.627162
\(686\) 46.4186 + 2.28759i 1.77227 + 0.0873406i
\(687\) −28.2532 14.4673i −1.07793 0.551962i
\(688\) −24.5859 14.1947i −0.937330 0.541168i
\(689\) 8.29846 5.56591i 0.316146 0.212044i
\(690\) 60.7367 67.1829i 2.31221 2.55761i
\(691\) 12.4091 + 46.3114i 0.472064 + 1.76177i 0.632335 + 0.774695i \(0.282097\pi\)
−0.160270 + 0.987073i \(0.551237\pi\)
\(692\) 54.0817i 2.05588i
\(693\) −14.6378 14.7252i −0.556043 0.559366i
\(694\) −18.4212 + 18.4212i −0.699261 + 0.699261i
\(695\) −7.60165 + 2.03686i −0.288347 + 0.0772624i
\(696\) 0.602801 + 11.9620i 0.0228491 + 0.453417i
\(697\) 0.877514 3.27493i 0.0332382 0.124047i
\(698\) 3.50903 + 2.02594i 0.132819 + 0.0766830i
\(699\) 7.94433 2.56363i 0.300482 0.0969656i
\(700\) −40.5842 90.8992i −1.53394 3.43567i
\(701\) 6.76669 0.255574 0.127787 0.991802i \(-0.459213\pi\)
0.127787 + 0.991802i \(0.459213\pi\)
\(702\) −14.1334 + 44.8391i −0.533431 + 1.69234i
\(703\) −12.7804 22.1362i −0.482021 0.834884i
\(704\) 2.50606 9.35274i 0.0944506 0.352495i
\(705\) −1.22736 + 5.71774i −0.0462249 + 0.215343i
\(706\) 25.7536i 0.969249i
\(707\) 43.2876 + 4.50423i 1.62800 + 0.169399i
\(708\) 58.4110 + 29.9099i 2.19522 + 1.12408i
\(709\) 44.6938 11.9757i 1.67851 0.449755i 0.711125 0.703066i \(-0.248186\pi\)
0.967385 + 0.253311i \(0.0815195\pi\)
\(710\) −93.1620 24.9627i −3.49631 0.936833i
\(711\) −9.54016 4.29357i −0.357784 0.161021i
\(712\) 52.9428 + 30.5665i 1.98412 + 1.14553i
\(713\) −16.1967 + 16.1967i −0.606570 + 0.606570i
\(714\) −6.91614 4.50094i −0.258830 0.168443i
\(715\) −34.9021 + 2.34903i −1.30527 + 0.0878487i
\(716\) 14.9106 + 8.60865i 0.557236 + 0.321720i
\(717\) −1.56187 30.9937i −0.0583291 1.15748i
\(718\) 35.1383 + 60.8614i 1.31135 + 2.27133i
\(719\) 17.7507 30.7452i 0.661990 1.14660i −0.318101 0.948057i \(-0.603045\pi\)
0.980092 0.198544i \(-0.0636214\pi\)
\(720\) 64.4814 + 10.4786i 2.40308 + 0.390516i
\(721\) −4.63943 + 2.07139i −0.172782 + 0.0771426i
\(722\) 4.21484 4.21484i 0.156860 0.156860i
\(723\) 18.3152 11.8418i 0.681150 0.440401i
\(724\) −10.0458 17.3998i −0.373349 0.646659i
\(725\) 5.25171 + 9.09623i 0.195044 + 0.337826i
\(726\) −9.81059 15.1737i −0.364105 0.563147i
\(727\) 11.8237i 0.438518i −0.975667 0.219259i \(-0.929636\pi\)
0.975667 0.219259i \(-0.0703640\pi\)
\(728\) 12.2858 + 53.5999i 0.455342 + 1.98654i
\(729\) −8.03329 25.7772i −0.297529 0.954713i
\(730\) −14.2913 53.3360i −0.528947 1.97406i
\(731\) −3.00485 + 1.73485i −0.111138 + 0.0641657i
\(732\) −53.0863 + 58.7206i −1.96213 + 2.17038i
\(733\) 1.34969 + 5.03711i 0.0498519 + 0.186050i 0.986362 0.164591i \(-0.0526304\pi\)
−0.936510 + 0.350641i \(0.885964\pi\)
\(734\) −21.0175 21.0175i −0.775770 0.775770i
\(735\) −7.03146 + 44.4148i −0.259359 + 1.63827i
\(736\) 12.7296 + 12.7296i 0.469221 + 0.469221i
\(737\) 7.38884 + 4.26595i 0.272171 + 0.157138i
\(738\) 14.5982 32.4366i 0.537367 1.19401i
\(739\) −4.85016 + 18.1010i −0.178416 + 0.665858i 0.817529 + 0.575888i \(0.195344\pi\)
−0.995945 + 0.0899695i \(0.971323\pi\)
\(740\) −44.0567 + 76.3085i −1.61956 + 2.80516i
\(741\) 11.4042 26.5251i 0.418943 0.974425i
\(742\) 2.89723 + 18.1701i 0.106361 + 0.667047i
\(743\) −34.5937 34.5937i −1.26912 1.26912i −0.946543 0.322578i \(-0.895450\pi\)
−0.322578 0.946543i \(-0.604550\pi\)
\(744\) −39.8003 8.54343i −1.45915 0.313217i
\(745\) −53.3604 + 30.8077i −1.95497 + 1.12871i
\(746\) 17.3579 64.7806i 0.635518 2.37178i
\(747\) 5.19191 6.35906i 0.189962 0.232666i
\(748\) 5.70358 + 5.70358i 0.208544 + 0.208544i
\(749\) 18.4116 8.22029i 0.672744 0.300363i
\(750\) 57.6210 18.5943i 2.10402 0.678967i
\(751\) −7.42934 4.28933i −0.271100 0.156520i 0.358287 0.933611i \(-0.383361\pi\)
−0.629388 + 0.777092i \(0.716694\pi\)
\(752\) −5.16266 1.38333i −0.188263 0.0504449i
\(753\) 24.1164 + 21.8024i 0.878852 + 0.794525i
\(754\) −3.50678 10.2715i −0.127709 0.374065i
\(755\) 38.7206i 1.40919i
\(756\) −43.7044 39.7481i −1.58951 1.44563i
\(757\) 40.1392 1.45889 0.729443 0.684042i \(-0.239779\pi\)
0.729443 + 0.684042i \(0.239779\pi\)
\(758\) −14.6893 + 25.4427i −0.533541 + 0.924120i
\(759\) 25.4227 1.28113i 0.922787 0.0465022i
\(760\) −95.4788 25.5835i −3.46338 0.928010i
\(761\) −3.29654 12.3028i −0.119499 0.445978i 0.880085 0.474817i \(-0.157486\pi\)
−0.999584 + 0.0288391i \(0.990819\pi\)
\(762\) −10.1823 + 19.8850i −0.368865 + 0.720357i
\(763\) 33.1117 26.8704i 1.19873 0.972773i
\(764\) 65.3005 2.36249
\(765\) 5.04950 6.18463i 0.182565 0.223606i
\(766\) 10.9846 6.34195i 0.396889 0.229144i
\(767\) −31.1899 6.14727i −1.12620 0.221965i
\(768\) 11.6281 54.1706i 0.419594 1.95471i
\(769\) −13.5525 + 13.5525i −0.488714 + 0.488714i −0.907900 0.419186i \(-0.862316\pi\)
0.419186 + 0.907900i \(0.362316\pi\)
\(770\) 23.0215 60.1600i 0.829639 2.16801i
\(771\) 19.3962 6.25914i 0.698536 0.225417i
\(772\) 2.19777 + 8.20220i 0.0790996 + 0.295204i
\(773\) 6.54075 24.4104i 0.235254 0.877981i