Properties

Label 300.2.n.a.71.11
Level $300$
Weight $2$
Character 300.71
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 71.11
Character \(\chi\) \(=\) 300.71
Dual form 300.2.n.a.131.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.15384 + 0.817712i) q^{2} +(1.49131 + 0.880902i) q^{3} +(0.662694 - 1.88702i) q^{4} +(2.23369 - 0.103117i) q^{5} +(-2.44106 + 0.203044i) q^{6} -3.19985i q^{7} +(0.778395 + 2.71921i) q^{8} +(1.44802 + 2.62740i) q^{9} +O(q^{10})\) \(q+(-1.15384 + 0.817712i) q^{2} +(1.49131 + 0.880902i) q^{3} +(0.662694 - 1.88702i) q^{4} +(2.23369 - 0.103117i) q^{5} +(-2.44106 + 0.203044i) q^{6} -3.19985i q^{7} +(0.778395 + 2.71921i) q^{8} +(1.44802 + 2.62740i) q^{9} +(-2.49300 + 1.94550i) q^{10} +(1.39100 - 4.28104i) q^{11} +(2.65056 - 2.23036i) q^{12} +(-0.224488 - 0.690904i) q^{13} +(2.61655 + 3.69211i) q^{14} +(3.42196 + 1.81388i) q^{15} +(-3.12167 - 2.50103i) q^{16} +(0.0729746 + 0.100441i) q^{17} +(-3.81924 - 1.84753i) q^{18} +(-3.06942 - 4.22470i) q^{19} +(1.28567 - 4.28335i) q^{20} +(2.81875 - 4.77197i) q^{21} +(1.89567 + 6.07707i) q^{22} +(-2.70974 + 8.33972i) q^{23} +(-1.23453 + 4.74088i) q^{24} +(4.97873 - 0.460663i) q^{25} +(0.823984 + 0.613626i) q^{26} +(-0.155027 + 5.19384i) q^{27} +(-6.03817 - 2.12052i) q^{28} +(-4.44953 + 6.12425i) q^{29} +(-5.43163 + 0.705252i) q^{30} +(-0.154824 - 0.213097i) q^{31} +(5.64704 + 0.333158i) q^{32} +(5.84559 - 5.15904i) q^{33} +(-0.166333 - 0.0562205i) q^{34} +(-0.329959 - 7.14746i) q^{35} +(5.91755 - 0.991284i) q^{36} +(2.93242 + 9.02505i) q^{37} +(6.99621 + 2.36472i) q^{38} +(0.273836 - 1.22811i) q^{39} +(2.01909 + 5.99360i) q^{40} +(-2.55180 + 0.829129i) q^{41} +(0.649709 + 7.81102i) q^{42} +6.07918i q^{43} +(-7.15660 - 5.46185i) q^{44} +(3.50536 + 5.71948i) q^{45} +(-3.69288 - 11.8385i) q^{46} +(-1.43095 - 1.03965i) q^{47} +(-2.45223 - 6.47971i) q^{48} -3.23901 q^{49} +(-5.36797 + 4.60270i) q^{50} +(0.0203493 + 0.214072i) q^{51} +(-1.45251 - 0.0342442i) q^{52} +(-3.63159 + 4.99846i) q^{53} +(-4.06819 - 6.11963i) q^{54} +(2.66560 - 9.70595i) q^{55} +(8.70105 - 2.49074i) q^{56} +(-0.855922 - 9.00420i) q^{57} +(0.126170 - 10.7048i) q^{58} +(0.148882 + 0.458211i) q^{59} +(5.69054 - 5.25526i) q^{60} +(1.16101 - 3.57322i) q^{61} +(0.352895 + 0.119279i) q^{62} +(8.40727 - 4.63345i) q^{63} +(-6.78820 + 4.23324i) q^{64} +(-0.572681 - 1.52012i) q^{65} +(-2.52626 + 10.7327i) q^{66} +(-2.89530 - 3.98504i) q^{67} +(0.237893 - 0.0711428i) q^{68} +(-11.3875 + 10.0501i) q^{69} +(6.22528 + 7.97722i) q^{70} +(-7.54150 - 5.47922i) q^{71} +(-6.01732 + 5.98263i) q^{72} +(3.40623 - 10.4833i) q^{73} +(-10.7634 - 8.01559i) q^{74} +(7.83064 + 3.69879i) q^{75} +(-10.0062 + 2.99237i) q^{76} +(-13.6987 - 4.45097i) q^{77} +(0.688273 + 1.64096i) q^{78} +(-3.77224 + 5.19204i) q^{79} +(-7.23075 - 5.26463i) q^{80} +(-4.80646 + 7.60907i) q^{81} +(2.26638 - 3.04332i) q^{82} +(4.31493 - 3.13498i) q^{83} +(-7.13682 - 8.48139i) q^{84} +(0.173360 + 0.216829i) q^{85} +(-4.97102 - 7.01440i) q^{86} +(-12.0305 + 5.21357i) q^{87} +(12.7238 + 0.450065i) q^{88} +(9.37595 + 3.04643i) q^{89} +(-8.72151 - 3.73299i) q^{90} +(-2.21079 + 0.718328i) q^{91} +(13.9415 + 10.6400i) q^{92} +(-0.0431734 - 0.454180i) q^{93} +(2.50123 + 0.0294801i) q^{94} +(-7.29177 - 9.12015i) q^{95} +(8.12801 + 5.47133i) q^{96} +(-4.65810 - 3.38431i) q^{97} +(3.73730 - 2.64858i) q^{98} +(13.2622 - 2.54435i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15384 + 0.817712i −0.815888 + 0.578210i
\(3\) 1.49131 + 0.880902i 0.861009 + 0.508589i
\(4\) 0.662694 1.88702i 0.331347 0.943509i
\(5\) 2.23369 0.103117i 0.998936 0.0461153i
\(6\) −2.44106 + 0.203044i −0.996559 + 0.0828923i
\(7\) 3.19985i 1.20943i −0.796443 0.604714i \(-0.793287\pi\)
0.796443 0.604714i \(-0.206713\pi\)
\(8\) 0.778395 + 2.71921i 0.275204 + 0.961386i
\(9\) 1.44802 + 2.62740i 0.482674 + 0.875800i
\(10\) −2.49300 + 1.94550i −0.788356 + 0.615220i
\(11\) 1.39100 4.28104i 0.419401 1.29078i −0.488854 0.872366i \(-0.662585\pi\)
0.908255 0.418417i \(-0.137415\pi\)
\(12\) 2.65056 2.23036i 0.765151 0.643851i
\(13\) −0.224488 0.690904i −0.0622618 0.191622i 0.915087 0.403256i \(-0.132122\pi\)
−0.977349 + 0.211634i \(0.932122\pi\)
\(14\) 2.61655 + 3.69211i 0.699303 + 0.986758i
\(15\) 3.42196 + 1.81388i 0.883547 + 0.468342i
\(16\) −3.12167 2.50103i −0.780418 0.625258i
\(17\) 0.0729746 + 0.100441i 0.0176989 + 0.0243605i 0.817775 0.575538i \(-0.195207\pi\)
−0.800076 + 0.599899i \(0.795207\pi\)
\(18\) −3.81924 1.84753i −0.900204 0.435468i
\(19\) −3.06942 4.22470i −0.704174 0.969212i −0.999903 0.0139400i \(-0.995563\pi\)
0.295729 0.955272i \(-0.404437\pi\)
\(20\) 1.28567 4.28335i 0.287484 0.957785i
\(21\) 2.81875 4.77197i 0.615102 1.04133i
\(22\) 1.89567 + 6.07707i 0.404159 + 1.29564i
\(23\) −2.70974 + 8.33972i −0.565020 + 1.73895i 0.102873 + 0.994694i \(0.467196\pi\)
−0.667893 + 0.744257i \(0.732804\pi\)
\(24\) −1.23453 + 4.74088i −0.251997 + 0.967728i
\(25\) 4.97873 0.460663i 0.995747 0.0921325i
\(26\) 0.823984 + 0.613626i 0.161597 + 0.120342i
\(27\) −0.155027 + 5.19384i −0.0298350 + 0.999555i
\(28\) −6.03817 2.12052i −1.14111 0.400740i
\(29\) −4.44953 + 6.12425i −0.826257 + 1.13725i 0.162351 + 0.986733i \(0.448092\pi\)
−0.988608 + 0.150512i \(0.951908\pi\)
\(30\) −5.43163 + 0.705252i −0.991676 + 0.128761i
\(31\) −0.154824 0.213097i −0.0278073 0.0382734i 0.794887 0.606757i \(-0.207530\pi\)
−0.822694 + 0.568484i \(0.807530\pi\)
\(32\) 5.64704 + 0.333158i 0.998264 + 0.0588946i
\(33\) 5.84559 5.15904i 1.01759 0.898074i
\(34\) −0.166333 0.0562205i −0.0285258 0.00964174i
\(35\) −0.329959 7.14746i −0.0557732 1.20814i
\(36\) 5.91755 0.991284i 0.986258 0.165214i
\(37\) 2.93242 + 9.02505i 0.482086 + 1.48371i 0.836157 + 0.548490i \(0.184797\pi\)
−0.354071 + 0.935219i \(0.615203\pi\)
\(38\) 6.99621 + 2.36472i 1.13493 + 0.383608i
\(39\) 0.273836 1.22811i 0.0438489 0.196654i
\(40\) 2.01909 + 5.99360i 0.319246 + 0.947672i
\(41\) −2.55180 + 0.829129i −0.398524 + 0.129488i −0.501420 0.865204i \(-0.667189\pi\)
0.102897 + 0.994692i \(0.467189\pi\)
\(42\) 0.649709 + 7.81102i 0.100252 + 1.20527i
\(43\) 6.07918i 0.927066i 0.886080 + 0.463533i \(0.153418\pi\)
−0.886080 + 0.463533i \(0.846582\pi\)
\(44\) −7.15660 5.46185i −1.07890 0.823405i
\(45\) 3.50536 + 5.71948i 0.522549 + 0.852609i
\(46\) −3.69288 11.8385i −0.544486 1.74549i
\(47\) −1.43095 1.03965i −0.208726 0.151648i 0.478511 0.878082i \(-0.341177\pi\)
−0.687237 + 0.726433i \(0.741177\pi\)
\(48\) −2.45223 6.47971i −0.353949 0.935265i
\(49\) −3.23901 −0.462716
\(50\) −5.36797 + 4.60270i −0.759146 + 0.650920i
\(51\) 0.0203493 + 0.214072i 0.00284947 + 0.0299761i
\(52\) −1.45251 0.0342442i −0.201428 0.00474882i
\(53\) −3.63159 + 4.99846i −0.498837 + 0.686591i −0.981987 0.188947i \(-0.939493\pi\)
0.483150 + 0.875538i \(0.339493\pi\)
\(54\) −4.06819 6.11963i −0.553610 0.832776i
\(55\) 2.66560 9.70595i 0.359430 1.30875i
\(56\) 8.70105 2.49074i 1.16273 0.332840i
\(57\) −0.855922 9.00420i −0.113370 1.19264i
\(58\) 0.126170 10.7048i 0.0165670 1.40561i
\(59\) 0.148882 + 0.458211i 0.0193828 + 0.0596540i 0.960280 0.279038i \(-0.0900155\pi\)
−0.940897 + 0.338692i \(0.890016\pi\)
\(60\) 5.69054 5.25526i 0.734646 0.678451i
\(61\) 1.16101 3.57322i 0.148652 0.457504i −0.848810 0.528697i \(-0.822681\pi\)
0.997463 + 0.0711932i \(0.0226807\pi\)
\(62\) 0.352895 + 0.119279i 0.0448177 + 0.0151484i
\(63\) 8.40727 4.63345i 1.05922 0.583760i
\(64\) −6.78820 + 4.23324i −0.848525 + 0.529155i
\(65\) −0.572681 1.52012i −0.0710323 0.188547i
\(66\) −2.52626 + 10.7327i −0.310961 + 1.32111i
\(67\) −2.89530 3.98504i −0.353718 0.486851i 0.594667 0.803972i \(-0.297284\pi\)
−0.948385 + 0.317121i \(0.897284\pi\)
\(68\) 0.237893 0.0711428i 0.0288488 0.00862733i
\(69\) −11.3875 + 10.0501i −1.37090 + 1.20989i
\(70\) 6.22528 + 7.97722i 0.744064 + 0.953460i
\(71\) −7.54150 5.47922i −0.895011 0.650264i 0.0421685 0.999111i \(-0.486573\pi\)
−0.937180 + 0.348847i \(0.886573\pi\)
\(72\) −6.01732 + 5.98263i −0.709148 + 0.705060i
\(73\) 3.40623 10.4833i 0.398669 1.22698i −0.527399 0.849618i \(-0.676833\pi\)
0.926067 0.377358i \(-0.123167\pi\)
\(74\) −10.7634 8.01559i −1.25122 0.931794i
\(75\) 7.83064 + 3.69879i 0.904205 + 0.427099i
\(76\) −10.0062 + 2.99237i −1.14779 + 0.343249i
\(77\) −13.6987 4.45097i −1.56111 0.507235i
\(78\) 0.688273 + 1.64096i 0.0779316 + 0.185802i
\(79\) −3.77224 + 5.19204i −0.424410 + 0.584150i −0.966659 0.256068i \(-0.917573\pi\)
0.542249 + 0.840218i \(0.317573\pi\)
\(80\) −7.23075 5.26463i −0.808422 0.588603i
\(81\) −4.80646 + 7.60907i −0.534051 + 0.845452i
\(82\) 2.26638 3.04332i 0.250279 0.336078i
\(83\) 4.31493 3.13498i 0.473625 0.344108i −0.325228 0.945636i \(-0.605441\pi\)
0.798852 + 0.601527i \(0.205441\pi\)
\(84\) −7.13682 8.48139i −0.778691 0.925395i
\(85\) 0.173360 + 0.216829i 0.0188035 + 0.0235184i
\(86\) −4.97102 7.01440i −0.536039 0.756382i
\(87\) −12.0305 + 5.21357i −1.28981 + 0.558954i
\(88\) 12.7238 + 0.450065i 1.35636 + 0.0479771i
\(89\) 9.37595 + 3.04643i 0.993849 + 0.322921i 0.760405 0.649449i \(-0.225000\pi\)
0.233444 + 0.972370i \(0.425000\pi\)
\(90\) −8.72151 3.73299i −0.919328 0.393491i
\(91\) −2.21079 + 0.718328i −0.231753 + 0.0753012i
\(92\) 13.9415 + 10.6400i 1.45350 + 1.10930i
\(93\) −0.0431734 0.454180i −0.00447687 0.0470962i
\(94\) 2.50123 + 0.0294801i 0.257982 + 0.00304064i
\(95\) −7.29177 9.12015i −0.748120 0.935707i
\(96\) 8.12801 + 5.47133i 0.829562 + 0.558415i
\(97\) −4.65810 3.38431i −0.472958 0.343624i 0.325635 0.945496i \(-0.394422\pi\)
−0.798593 + 0.601871i \(0.794422\pi\)
\(98\) 3.73730 2.64858i 0.377525 0.267547i
\(99\) 13.2622 2.54435i 1.33290 0.255717i
\(100\) 2.43010 9.70024i 0.243010 0.970024i
\(101\) 16.7129i 1.66300i −0.555526 0.831499i \(-0.687483\pi\)
0.555526 0.831499i \(-0.312517\pi\)
\(102\) −0.198529 0.230365i −0.0196573 0.0228095i
\(103\) −0.504140 + 0.693889i −0.0496744 + 0.0683709i −0.833132 0.553075i \(-0.813454\pi\)
0.783457 + 0.621446i \(0.213454\pi\)
\(104\) 1.70397 1.14823i 0.167088 0.112593i
\(105\) 5.80414 10.9498i 0.566426 1.06859i
\(106\) 0.102977 8.73702i 0.0100020 0.848614i
\(107\) 6.29340 0.608406 0.304203 0.952607i \(-0.401610\pi\)
0.304203 + 0.952607i \(0.401610\pi\)
\(108\) 9.69813 + 3.73446i 0.933203 + 0.359349i
\(109\) −0.822746 2.53215i −0.0788048 0.242536i 0.903891 0.427763i \(-0.140698\pi\)
−0.982696 + 0.185226i \(0.940698\pi\)
\(110\) 4.86100 + 13.3788i 0.463478 + 1.27562i
\(111\) −3.57704 + 16.0423i −0.339517 + 1.52267i
\(112\) −8.00291 + 9.98888i −0.756204 + 0.943860i
\(113\) −14.1393 + 4.59414i −1.33011 + 0.432180i −0.885956 0.463769i \(-0.846497\pi\)
−0.444157 + 0.895949i \(0.646497\pi\)
\(114\) 8.35044 + 9.68951i 0.782090 + 0.907506i
\(115\) −5.19275 + 18.9078i −0.484226 + 1.76316i
\(116\) 8.60790 + 12.4548i 0.799223 + 1.15640i
\(117\) 1.49022 1.59026i 0.137771 0.147020i
\(118\) −0.546470 0.406960i −0.0503067 0.0374637i
\(119\) 0.321395 0.233507i 0.0294623 0.0214056i
\(120\) −2.26869 + 10.7170i −0.207102 + 0.978319i
\(121\) −7.49327 5.44418i −0.681206 0.494925i
\(122\) 1.58225 + 5.07230i 0.143250 + 0.459224i
\(123\) −4.53591 1.01139i −0.408989 0.0911942i
\(124\) −0.504719 + 0.150938i −0.0453251 + 0.0135546i
\(125\) 11.0734 1.54237i 0.990439 0.137954i
\(126\) −5.91182 + 12.2210i −0.526667 + 1.08873i
\(127\) 13.2943 + 4.31959i 1.17968 + 0.383301i 0.832248 0.554404i \(-0.187054\pi\)
0.347432 + 0.937705i \(0.387054\pi\)
\(128\) 4.37093 10.4353i 0.386339 0.922357i
\(129\) −5.35516 + 9.06595i −0.471496 + 0.798213i
\(130\) 1.90380 + 1.28568i 0.166974 + 0.112762i
\(131\) −2.46905 + 1.79387i −0.215722 + 0.156731i −0.690399 0.723429i \(-0.742565\pi\)
0.474677 + 0.880160i \(0.342565\pi\)
\(132\) −5.86137 14.4496i −0.510167 1.25768i
\(133\) −13.5184 + 9.82168i −1.17219 + 0.851647i
\(134\) 6.59934 + 2.23058i 0.570096 + 0.192693i
\(135\) 0.189290 + 11.6174i 0.0162915 + 0.999867i
\(136\) −0.216317 + 0.276616i −0.0185490 + 0.0237196i
\(137\) 8.03317 2.61013i 0.686320 0.222999i 0.0549597 0.998489i \(-0.482497\pi\)
0.631360 + 0.775490i \(0.282497\pi\)
\(138\) 4.92131 20.9080i 0.418929 1.77980i
\(139\) 12.1373 + 3.94364i 1.02947 + 0.334496i 0.774581 0.632474i \(-0.217961\pi\)
0.254890 + 0.966970i \(0.417961\pi\)
\(140\) −13.7060 4.11394i −1.15837 0.347691i
\(141\) −1.21817 2.81097i −0.102588 0.236726i
\(142\) 13.1821 + 0.155368i 1.10622 + 0.0130382i
\(143\) −3.27005 −0.273455
\(144\) 2.05095 11.8234i 0.170912 0.985286i
\(145\) −9.30735 + 14.1385i −0.772934 + 1.17414i
\(146\) 4.64207 + 14.8814i 0.384181 + 1.23159i
\(147\) −4.83038 2.85325i −0.398403 0.235332i
\(148\) 18.9737 + 0.447321i 1.55963 + 0.0367696i
\(149\) 6.69769i 0.548696i −0.961631 0.274348i \(-0.911538\pi\)
0.961631 0.274348i \(-0.0884620\pi\)
\(150\) −12.0599 + 2.13541i −0.984683 + 0.174355i
\(151\) 9.05550i 0.736926i 0.929642 + 0.368463i \(0.120116\pi\)
−0.929642 + 0.368463i \(0.879884\pi\)
\(152\) 9.09861 11.6349i 0.737995 0.943714i
\(153\) −0.158229 + 0.337174i −0.0127921 + 0.0272589i
\(154\) 19.4457 6.06587i 1.56698 0.488801i
\(155\) −0.367803 0.460028i −0.0295427 0.0369503i
\(156\) −2.13599 1.33059i −0.171016 0.106533i
\(157\) 2.53598 0.202393 0.101197 0.994866i \(-0.467733\pi\)
0.101197 + 0.994866i \(0.467733\pi\)
\(158\) 0.106965 9.07538i 0.00850968 0.721999i
\(159\) −9.81899 + 4.25518i −0.778696 + 0.337458i
\(160\) 12.6481 + 0.161866i 0.999918 + 0.0127966i
\(161\) 26.6858 + 8.67075i 2.10314 + 0.683351i
\(162\) −0.676146 12.7099i −0.0531230 0.998588i
\(163\) −4.70483 + 1.52869i −0.368511 + 0.119736i −0.487418 0.873169i \(-0.662061\pi\)
0.118907 + 0.992905i \(0.462061\pi\)
\(164\) −0.126478 + 5.36475i −0.00987630 + 0.418916i
\(165\) 12.5252 12.1265i 0.975088 0.944044i
\(166\) −2.41523 + 7.14563i −0.187458 + 0.554608i
\(167\) −12.9455 + 9.40546i −1.00175 + 0.727816i −0.962463 0.271412i \(-0.912510\pi\)
−0.0392897 + 0.999228i \(0.512510\pi\)
\(168\) 15.1701 + 3.95030i 1.17040 + 0.304772i
\(169\) 10.0903 7.33101i 0.776174 0.563924i
\(170\) −0.377333 0.108427i −0.0289401 0.00831600i
\(171\) 6.65537 14.1821i 0.508949 1.08453i
\(172\) 11.4715 + 4.02863i 0.874695 + 0.307180i
\(173\) −1.29345 0.420267i −0.0983390 0.0319523i 0.259434 0.965761i \(-0.416464\pi\)
−0.357773 + 0.933808i \(0.616464\pi\)
\(174\) 9.61808 15.8531i 0.729145 1.20182i
\(175\) −1.47405 15.9312i −0.111428 1.20428i
\(176\) −15.0492 + 9.88510i −1.13438 + 0.745117i
\(177\) −0.181610 + 0.814486i −0.0136506 + 0.0612205i
\(178\) −13.3095 + 4.15174i −0.997586 + 0.311186i
\(179\) 2.09279 + 1.52050i 0.156423 + 0.113648i 0.663243 0.748404i \(-0.269179\pi\)
−0.506821 + 0.862051i \(0.669179\pi\)
\(180\) 13.1157 2.82442i 0.977590 0.210520i
\(181\) 5.49246 3.99050i 0.408251 0.296612i −0.364642 0.931148i \(-0.618809\pi\)
0.772893 + 0.634536i \(0.218809\pi\)
\(182\) 1.96351 2.63662i 0.145545 0.195439i
\(183\) 4.87909 4.30605i 0.360672 0.318312i
\(184\) −24.7867 0.876753i −1.82730 0.0646351i
\(185\) 7.48074 + 19.8568i 0.549995 + 1.45990i
\(186\) 0.421203 + 0.488747i 0.0308841 + 0.0358367i
\(187\) 0.531499 0.172694i 0.0388670 0.0126287i
\(188\) −2.91012 + 2.01127i −0.212242 + 0.146687i
\(189\) 16.6195 + 0.496064i 1.20889 + 0.0360833i
\(190\) 15.8712 + 4.56062i 1.15142 + 0.330862i
\(191\) −6.87204 21.1500i −0.497244 1.53036i −0.813431 0.581662i \(-0.802403\pi\)
0.316187 0.948697i \(-0.397597\pi\)
\(192\) −13.8524 + 0.333337i −0.999711 + 0.0240565i
\(193\) −15.5081 −1.11630 −0.558150 0.829740i \(-0.688489\pi\)
−0.558150 + 0.829740i \(0.688489\pi\)
\(194\) 8.14209 + 0.0959649i 0.584568 + 0.00688988i
\(195\) 0.485027 2.77144i 0.0347335 0.198467i
\(196\) −2.14647 + 6.11208i −0.153320 + 0.436577i
\(197\) −8.04491 + 11.0729i −0.573176 + 0.788910i −0.992927 0.118730i \(-0.962118\pi\)
0.419750 + 0.907640i \(0.362118\pi\)
\(198\) −13.2219 + 13.7804i −0.939641 + 0.979333i
\(199\) 0.869554i 0.0616411i −0.999525 0.0308205i \(-0.990188\pi\)
0.999525 0.0308205i \(-0.00981203\pi\)
\(200\) 5.12806 + 13.1796i 0.362609 + 0.931942i
\(201\) −0.807368 8.49342i −0.0569473 0.599080i
\(202\) 13.6664 + 19.2840i 0.961562 + 1.35682i
\(203\) 19.5967 + 14.2378i 1.37542 + 0.999298i
\(204\) 0.417443 + 0.103465i 0.0292269 + 0.00724398i
\(205\) −5.61442 + 2.11515i −0.392128 + 0.147728i
\(206\) 0.0142953 1.21288i 0.000996003 0.0845053i
\(207\) −25.8355 + 4.95654i −1.79569 + 0.344503i
\(208\) −1.02719 + 2.71823i −0.0712229 + 0.188475i
\(209\) −22.3557 + 7.26379i −1.54637 + 0.502447i
\(210\) 2.25670 + 17.3804i 0.155727 + 1.19936i
\(211\) 5.77320 + 1.87583i 0.397444 + 0.129137i 0.500918 0.865495i \(-0.332996\pi\)
−0.103474 + 0.994632i \(0.532996\pi\)
\(212\) 7.02555 + 10.1653i 0.482516 + 0.698157i
\(213\) −6.42007 14.8145i −0.439896 1.01508i
\(214\) −7.26157 + 5.14619i −0.496391 + 0.351786i
\(215\) 0.626867 + 13.5790i 0.0427520 + 0.926080i
\(216\) −14.2438 + 3.62131i −0.969169 + 0.246399i
\(217\) −0.681878 + 0.495414i −0.0462889 + 0.0336309i
\(218\) 3.01989 + 2.24893i 0.204533 + 0.152317i
\(219\) 14.3145 12.6333i 0.967284 0.853679i
\(220\) −16.5488 11.4621i −1.11572 0.772776i
\(221\) 0.0530130 0.0729662i 0.00356604 0.00490824i
\(222\) −8.99069 21.4353i −0.603415 1.43864i
\(223\) −19.5845 6.36338i −1.31147 0.426124i −0.431915 0.901914i \(-0.642162\pi\)
−0.879559 + 0.475790i \(0.842162\pi\)
\(224\) 1.06605 18.0696i 0.0712287 1.20733i
\(225\) 8.41967 + 12.4141i 0.561311 + 0.827605i
\(226\) 12.5578 16.8628i 0.835333 1.12170i
\(227\) 2.21402 6.81405i 0.146950 0.452264i −0.850307 0.526287i \(-0.823584\pi\)
0.997257 + 0.0740228i \(0.0235838\pi\)
\(228\) −17.5583 4.35189i −1.16283 0.288211i
\(229\) −7.28226 5.29087i −0.481225 0.349630i 0.320575 0.947223i \(-0.396124\pi\)
−0.801800 + 0.597593i \(0.796124\pi\)
\(230\) −9.46950 26.0627i −0.624401 1.71852i
\(231\) −16.5081 18.7050i −1.08616 1.23070i
\(232\) −20.1166 7.33212i −1.32072 0.481377i
\(233\) −10.8431 14.9243i −0.710357 0.977722i −0.999789 0.0205238i \(-0.993467\pi\)
0.289433 0.957198i \(-0.406533\pi\)
\(234\) −0.419092 + 3.05348i −0.0273969 + 0.199612i
\(235\) −3.30351 2.17470i −0.215497 0.141862i
\(236\) 0.963315 + 0.0227110i 0.0627065 + 0.00147836i
\(237\) −10.1993 + 4.41998i −0.662513 + 0.287108i
\(238\) −0.179897 + 0.532239i −0.0116610 + 0.0344999i
\(239\) −3.81935 + 11.7548i −0.247054 + 0.760353i 0.748238 + 0.663430i \(0.230900\pi\)
−0.995292 + 0.0969226i \(0.969100\pi\)
\(240\) −6.14568 14.2208i −0.396702 0.917947i
\(241\) 3.13012 + 9.63351i 0.201629 + 0.620549i 0.999835 + 0.0181650i \(0.00578243\pi\)
−0.798206 + 0.602384i \(0.794218\pi\)
\(242\) 13.0978 + 0.154374i 0.841959 + 0.00992356i
\(243\) −13.8708 + 7.11348i −0.889811 + 0.456330i
\(244\) −5.97334 4.55880i −0.382404 0.291847i
\(245\) −7.23495 + 0.333997i −0.462224 + 0.0213383i
\(246\) 6.06074 2.54208i 0.386419 0.162077i
\(247\) −2.22981 + 3.06907i −0.141879 + 0.195280i
\(248\) 0.458942 0.586873i 0.0291428 0.0372665i
\(249\) 9.19651 0.874202i 0.582805 0.0554003i
\(250\) −11.5158 + 10.8345i −0.728321 + 0.685236i
\(251\) 11.1839 0.705921 0.352960 0.935638i \(-0.385175\pi\)
0.352960 + 0.935638i \(0.385175\pi\)
\(252\) −3.17196 18.9352i −0.199815 1.19281i
\(253\) 31.9335 + 23.2010i 2.00764 + 1.45864i
\(254\) −18.8717 + 5.88682i −1.18412 + 0.369372i
\(255\) 0.0675284 + 0.476072i 0.00422879 + 0.0298128i
\(256\) 3.48970 + 15.6148i 0.218106 + 0.975925i
\(257\) 17.1718i 1.07115i −0.844488 0.535574i \(-0.820095\pi\)
0.844488 0.535574i \(-0.179905\pi\)
\(258\) −1.23434 14.8396i −0.0768467 0.923876i
\(259\) 28.8788 9.38328i 1.79444 0.583049i
\(260\) −3.24800 + 0.0732880i −0.201432 + 0.00454513i
\(261\) −22.5339 2.82263i −1.39481 0.174717i
\(262\) 1.38202 4.08881i 0.0853814 0.252607i
\(263\) 3.36546 + 10.3578i 0.207523 + 0.638691i 0.999600 + 0.0282698i \(0.00899976\pi\)
−0.792077 + 0.610421i \(0.791000\pi\)
\(264\) 18.5787 + 11.8796i 1.14344 + 0.731139i
\(265\) −7.59642 + 11.5395i −0.466644 + 0.708865i
\(266\) 7.56674 22.3868i 0.463947 1.37262i
\(267\) 11.2989 + 12.8025i 0.691479 + 0.783499i
\(268\) −9.43855 + 2.82263i −0.576551 + 0.172419i
\(269\) 4.89920 + 6.74316i 0.298709 + 0.411138i 0.931819 0.362924i \(-0.118222\pi\)
−0.633109 + 0.774062i \(0.718222\pi\)
\(270\) −9.71811 13.2498i −0.591425 0.806360i
\(271\) −2.27947 + 3.13742i −0.138468 + 0.190585i −0.872619 0.488401i \(-0.837580\pi\)
0.734151 + 0.678986i \(0.237580\pi\)
\(272\) 0.0234028 0.496055i 0.00141901 0.0300778i
\(273\) −3.92975 0.876235i −0.237839 0.0530321i
\(274\) −7.13465 + 9.58050i −0.431020 + 0.578779i
\(275\) 4.95328 21.9550i 0.298694 1.32393i
\(276\) 11.4183 + 28.1486i 0.687300 + 1.69435i
\(277\) 6.80802 20.9529i 0.409054 1.25894i −0.508408 0.861116i \(-0.669766\pi\)
0.917462 0.397823i \(-0.130234\pi\)
\(278\) −17.2293 + 5.37447i −1.03334 + 0.322340i
\(279\) 0.335703 0.715355i 0.0200980 0.0428272i
\(280\) 19.1786 6.46077i 1.14614 0.386105i
\(281\) −7.62089 10.4893i −0.454624 0.625736i 0.518759 0.854920i \(-0.326394\pi\)
−0.973383 + 0.229184i \(0.926394\pi\)
\(282\) 3.70414 + 2.24730i 0.220578 + 0.133825i
\(283\) 2.12190 + 2.92054i 0.126134 + 0.173608i 0.867413 0.497588i \(-0.165781\pi\)
−0.741280 + 0.671196i \(0.765781\pi\)
\(284\) −15.3371 + 10.5999i −0.910089 + 0.628988i
\(285\) −2.84035 20.0243i −0.168248 1.18614i
\(286\) 3.77311 2.67396i 0.223109 0.158115i
\(287\) 2.65309 + 8.16536i 0.156607 + 0.481986i
\(288\) 7.30170 + 15.3194i 0.430257 + 0.902707i
\(289\) 5.24853 16.1533i 0.308737 0.950194i
\(290\) −0.822026 23.9243i −0.0482710 1.40488i
\(291\) −3.96543 9.15038i −0.232458 0.536405i
\(292\) −17.5249 13.3748i −1.02557 0.782702i
\(293\) 23.9925i 1.40166i 0.713330 + 0.700828i \(0.247186\pi\)
−0.713330 + 0.700828i \(0.752814\pi\)
\(294\) 7.90663 0.657662i 0.461124 0.0383556i
\(295\) 0.379805 + 1.00815i 0.0221131 + 0.0586967i
\(296\) −22.2584 + 14.9989i −1.29374 + 0.871794i
\(297\) 22.0194 + 7.88828i 1.27770 + 0.457725i
\(298\) 5.47678 + 7.72806i 0.317261 + 0.447674i
\(299\) 6.37025 0.368401
\(300\) 12.1690 12.3254i 0.702577 0.711608i
\(301\) 19.4524 1.12122
\(302\) −7.40479 10.4486i −0.426098 0.601249i
\(303\) 14.7225 24.9242i 0.845783 1.43186i
\(304\) −0.984359 + 20.8648i −0.0564569 + 1.19668i
\(305\) 2.22488 8.10118i 0.127396 0.463872i
\(306\) −0.0931398 0.518431i −0.00532445 0.0296367i
\(307\) 31.2261i 1.78217i −0.453839 0.891084i \(-0.649946\pi\)
0.453839 0.891084i \(-0.350054\pi\)
\(308\) −17.4771 + 22.9000i −0.995849 + 1.30485i
\(309\) −1.36308 + 0.590707i −0.0775428 + 0.0336042i
\(310\) 0.800557 + 0.230042i 0.0454686 + 0.0130655i
\(311\) −0.903569 + 2.78090i −0.0512367 + 0.157690i −0.973401 0.229108i \(-0.926419\pi\)
0.922164 + 0.386798i \(0.126419\pi\)
\(312\) 3.55263 0.211332i 0.201128 0.0119643i
\(313\) 7.75708 + 23.8738i 0.438456 + 1.34943i 0.889503 + 0.456929i \(0.151051\pi\)
−0.451047 + 0.892500i \(0.648949\pi\)
\(314\) −2.92611 + 2.07370i −0.165130 + 0.117026i
\(315\) 18.3014 11.2166i 1.03117 0.631985i
\(316\) 7.29763 + 10.5590i 0.410524 + 0.593991i
\(317\) −1.81553 2.49886i −0.101970 0.140350i 0.754983 0.655745i \(-0.227645\pi\)
−0.856953 + 0.515395i \(0.827645\pi\)
\(318\) 7.85003 12.9389i 0.440208 0.725578i
\(319\) 20.0289 + 27.5674i 1.12140 + 1.54348i
\(320\) −14.7262 + 10.1557i −0.823220 + 0.567722i
\(321\) 9.38542 + 5.54387i 0.523843 + 0.309428i
\(322\) −37.8813 + 11.8167i −2.11104 + 0.658517i
\(323\) 0.200342 0.616591i 0.0111474 0.0343080i
\(324\) 11.1732 + 14.1124i 0.620736 + 0.784020i
\(325\) −1.43594 3.33641i −0.0796517 0.185071i
\(326\) 4.17859 5.61106i 0.231431 0.310768i
\(327\) 1.00361 4.50099i 0.0554996 0.248905i
\(328\) −4.24088 6.29348i −0.234164 0.347499i
\(329\) −3.32672 + 4.57883i −0.183408 + 0.252439i
\(330\) −4.53616 + 24.2340i −0.249707 + 1.33404i
\(331\) 10.1452 + 13.9637i 0.557630 + 0.767512i 0.991023 0.133693i \(-0.0426837\pi\)
−0.433393 + 0.901205i \(0.642684\pi\)
\(332\) −3.05628 10.2199i −0.167735 0.560888i
\(333\) −19.4662 + 20.7731i −1.06674 + 1.13836i
\(334\) 7.24608 21.4381i 0.396488 1.17304i
\(335\) −6.87813 8.60279i −0.375793 0.470021i
\(336\) −20.7341 + 7.84675i −1.13114 + 0.428075i
\(337\) −7.59358 23.3706i −0.413649 1.27308i −0.913454 0.406942i \(-0.866595\pi\)
0.499805 0.866138i \(-0.333405\pi\)
\(338\) −5.64790 + 16.7097i −0.307205 + 0.908890i
\(339\) −25.1331 5.60405i −1.36504 0.304370i
\(340\) 0.524044 0.183442i 0.0284203 0.00994852i
\(341\) −1.12764 + 0.366392i −0.0610650 + 0.0198412i
\(342\) 3.91760 + 21.8060i 0.211840 + 1.17913i
\(343\) 12.0346i 0.649806i
\(344\) −16.5306 + 4.73200i −0.891268 + 0.255132i
\(345\) −24.3999 + 23.6231i −1.31365 + 1.27182i
\(346\) 1.83609 0.572748i 0.0987088 0.0307911i
\(347\) 8.15225 + 5.92296i 0.437636 + 0.317961i 0.784695 0.619882i \(-0.212820\pi\)
−0.347059 + 0.937843i \(0.612820\pi\)
\(348\) 1.86556 + 26.1568i 0.100005 + 1.40215i
\(349\) 31.9479 1.71013 0.855066 0.518518i \(-0.173516\pi\)
0.855066 + 0.518518i \(0.173516\pi\)
\(350\) 14.7279 + 17.1767i 0.787241 + 0.918133i
\(351\) 3.62324 1.05885i 0.193394 0.0565171i
\(352\) 9.28126 23.7118i 0.494693 1.26384i
\(353\) 16.9510 23.3311i 0.902211 1.24179i −0.0675468 0.997716i \(-0.521517\pi\)
0.969758 0.244070i \(-0.0784828\pi\)
\(354\) −0.456466 1.08829i −0.0242609 0.0578420i
\(355\) −17.4104 11.4612i −0.924046 0.608298i
\(356\) 11.9621 15.6737i 0.633988 0.830707i
\(357\) 0.684998 0.0651145i 0.0362539 0.00344623i
\(358\) −3.65808 0.0431152i −0.193336 0.00227871i
\(359\) −2.76281 8.50306i −0.145816 0.448774i 0.851299 0.524680i \(-0.175815\pi\)
−0.997115 + 0.0759060i \(0.975815\pi\)
\(360\) −12.8239 + 13.9838i −0.675879 + 0.737013i
\(361\) −2.55539 + 7.86467i −0.134494 + 0.413930i
\(362\) −3.07433 + 9.09565i −0.161583 + 0.478057i
\(363\) −6.37902 14.7198i −0.334811 0.772590i
\(364\) −0.109576 + 4.64782i −0.00574336 + 0.243612i
\(365\) 6.52745 23.7676i 0.341662 1.24406i
\(366\) −2.10857 + 8.95818i −0.110217 + 0.468252i
\(367\) 3.26225 + 4.49011i 0.170288 + 0.234382i 0.885628 0.464395i \(-0.153728\pi\)
−0.715340 + 0.698777i \(0.753728\pi\)
\(368\) 29.3168 19.2567i 1.52824 1.00383i
\(369\) −5.87351 5.50399i −0.305763 0.286526i
\(370\) −24.8687 16.7944i −1.29286 0.873102i
\(371\) 15.9943 + 11.6205i 0.830382 + 0.603308i
\(372\) −0.885656 0.219513i −0.0459191 0.0113812i
\(373\) 4.22694 13.0092i 0.218863 0.673590i −0.779994 0.625787i \(-0.784778\pi\)
0.998857 0.0478029i \(-0.0152219\pi\)
\(374\) −0.472050 + 0.633875i −0.0244091 + 0.0327769i
\(375\) 17.8726 + 7.45446i 0.922939 + 0.384947i
\(376\) 1.71318 4.70032i 0.0883503 0.242401i
\(377\) 5.23014 + 1.69937i 0.269366 + 0.0875222i
\(378\) −19.5819 + 13.0176i −1.00718 + 0.669552i
\(379\) −1.53841 + 2.11744i −0.0790229 + 0.108766i −0.846699 0.532073i \(-0.821413\pi\)
0.767676 + 0.640839i \(0.221413\pi\)
\(380\) −22.0421 + 7.71584i −1.13074 + 0.395814i
\(381\) 16.0209 + 18.1528i 0.820773 + 0.929999i
\(382\) 25.2238 + 18.7843i 1.29056 + 0.961090i
\(383\) −16.6069 + 12.0656i −0.848571 + 0.616523i −0.924752 0.380571i \(-0.875727\pi\)
0.0761809 + 0.997094i \(0.475727\pi\)
\(384\) 15.7109 11.7119i 0.801742 0.597670i
\(385\) −31.0576 8.52952i −1.58284 0.434704i
\(386\) 17.8939 12.6812i 0.910776 0.645456i
\(387\) −15.9724 + 8.80279i −0.811924 + 0.447471i
\(388\) −9.47314 + 6.54715i −0.480926 + 0.332381i
\(389\) 28.0578 + 9.11654i 1.42259 + 0.462227i 0.916423 0.400210i \(-0.131063\pi\)
0.506164 + 0.862437i \(0.331063\pi\)
\(390\) 1.70660 + 3.59441i 0.0864170 + 0.182010i
\(391\) −1.03539 + 0.336419i −0.0523620 + 0.0170134i
\(392\) −2.52123 8.80756i −0.127341 0.444849i
\(393\) −5.26234 + 0.500228i −0.265450 + 0.0252332i
\(394\) 0.228120 19.3547i 0.0114925 0.975078i
\(395\) −7.89062 + 11.9864i −0.397020 + 0.603100i
\(396\) 3.98755 26.7121i 0.200382 1.34234i
\(397\) −15.2914 11.1099i −0.767455 0.557588i 0.133733 0.991017i \(-0.457304\pi\)
−0.901188 + 0.433429i \(0.857304\pi\)
\(398\) 0.711045 + 1.00333i 0.0356415 + 0.0502922i
\(399\) −28.8121 + 2.73882i −1.44241 + 0.137112i
\(400\) −16.6941 11.0139i −0.834706 0.550696i
\(401\) 20.3531i 1.01639i 0.861243 + 0.508193i \(0.169686\pi\)
−0.861243 + 0.508193i \(0.830314\pi\)
\(402\) 7.87675 + 9.13986i 0.392856 + 0.455855i
\(403\) −0.112473 + 0.154806i −0.00560270 + 0.00771146i
\(404\) −31.5376 11.0756i −1.56905 0.551029i
\(405\) −9.95151 + 17.4919i −0.494494 + 0.869181i
\(406\) −34.2538 0.403725i −1.69999 0.0200366i
\(407\) 42.7156 2.11733
\(408\) −0.566267 + 0.221967i −0.0280344 + 0.0109890i
\(409\) 7.28912 + 22.4336i 0.360424 + 1.10927i 0.952797 + 0.303607i \(0.0981911\pi\)
−0.592373 + 0.805664i \(0.701809\pi\)
\(410\) 4.74856 7.03153i 0.234515 0.347262i
\(411\) 14.2792 + 3.18391i 0.704343 + 0.157051i
\(412\) 0.975291 + 1.41116i 0.0480491 + 0.0695227i
\(413\) 1.46620 0.476399i 0.0721472 0.0234420i
\(414\) 25.7571 26.8451i 1.26589 1.31936i
\(415\) 9.31493 7.44751i 0.457252 0.365584i
\(416\) −1.03751 3.97635i −0.0508682 0.194956i
\(417\) 14.6265 + 16.5730i 0.716264 + 0.811582i
\(418\) 19.8552 26.6617i 0.971148 1.30407i
\(419\) −21.8072 + 15.8439i −1.06535 + 0.774024i −0.975071 0.221892i \(-0.928777\pi\)
−0.0902819 + 0.995916i \(0.528777\pi\)
\(420\) −16.8160 18.2089i −0.820538 0.888501i
\(421\) 23.3938 + 16.9966i 1.14015 + 0.828365i 0.987140 0.159861i \(-0.0511045\pi\)
0.153006 + 0.988225i \(0.451104\pi\)
\(422\) −8.19524 + 2.55641i −0.398938 + 0.124444i
\(423\) 0.659519 5.26512i 0.0320669 0.255999i
\(424\) −16.4187 5.98429i −0.797361 0.290623i
\(425\) 0.409590 + 0.466452i 0.0198680 + 0.0226262i
\(426\) 19.5218 + 11.8438i 0.945833 + 0.573836i
\(427\) −11.4338 3.71505i −0.553318 0.179784i
\(428\) 4.17060 11.8758i 0.201593 0.574036i
\(429\) −4.87666 2.88059i −0.235448 0.139076i
\(430\) −11.8270 15.1554i −0.570349 0.730858i
\(431\) −11.7243 + 8.51823i −0.564741 + 0.410308i −0.833191 0.552985i \(-0.813489\pi\)
0.268450 + 0.963294i \(0.413489\pi\)
\(432\) 13.4739 15.8257i 0.648263 0.761417i
\(433\) −1.61446 + 1.17297i −0.0775858 + 0.0563694i −0.625902 0.779902i \(-0.715269\pi\)
0.548316 + 0.836271i \(0.315269\pi\)
\(434\) 0.381673 1.12921i 0.0183209 0.0542037i
\(435\) −26.3348 + 12.8860i −1.26266 + 0.617839i
\(436\) −5.32345 0.125505i −0.254947 0.00601059i
\(437\) 43.5501 14.1503i 2.08328 0.676900i
\(438\) −6.18624 + 26.2819i −0.295590 + 1.25580i
\(439\) −34.6081 11.2449i −1.65175 0.536688i −0.672635 0.739974i \(-0.734838\pi\)
−0.979119 + 0.203287i \(0.934838\pi\)
\(440\) 28.4674 0.306734i 1.35713 0.0146230i
\(441\) −4.69017 8.51018i −0.223341 0.405247i
\(442\) −0.00150323 + 0.127541i −7.15014e−5 + 0.00606649i
\(443\) 3.14033 0.149202 0.0746008 0.997213i \(-0.476232\pi\)
0.0746008 + 0.997213i \(0.476232\pi\)
\(444\) 27.9017 + 17.3811i 1.32416 + 0.824870i
\(445\) 21.2571 + 5.83796i 1.00768 + 0.276746i
\(446\) 27.8008 8.67214i 1.31641 0.410638i
\(447\) 5.90001 9.98834i 0.279061 0.472432i
\(448\) 13.5457 + 21.7212i 0.639975 + 1.02623i
\(449\) 41.8754i 1.97622i −0.153740 0.988111i \(-0.549132\pi\)
0.153740 0.988111i \(-0.450868\pi\)
\(450\) −19.8661 7.43899i −0.936496 0.350677i
\(451\) 12.0777i 0.568715i
\(452\) −0.700806 + 29.7256i −0.0329632 + 1.39818i
\(453\) −7.97701 + 13.5046i −0.374792 + 0.634500i
\(454\) 3.01731 + 9.67275i 0.141609 + 0.453965i
\(455\) −4.86414 + 1.83249i −0.228034 + 0.0859085i
\(456\) 23.8181 9.33625i 1.11538 0.437210i
\(457\) −28.4964 −1.33300 −0.666502 0.745504i \(-0.732209\pi\)
−0.666502 + 0.745504i \(0.732209\pi\)
\(458\) 12.7290 + 0.150027i 0.594786 + 0.00701031i
\(459\) −0.532987 + 0.363447i −0.0248777 + 0.0169643i
\(460\) 32.2381 + 22.3289i 1.50311 + 1.04109i
\(461\) −4.21844 1.37065i −0.196472 0.0638377i 0.209128 0.977888i \(-0.432937\pi\)
−0.405600 + 0.914051i \(0.632937\pi\)
\(462\) 34.3430 + 8.08365i 1.59778 + 0.376085i
\(463\) −26.8120 + 8.71174i −1.24606 + 0.404869i −0.856507 0.516136i \(-0.827370\pi\)
−0.389551 + 0.921005i \(0.627370\pi\)
\(464\) 29.2069 7.98951i 1.35590 0.370904i
\(465\) −0.143270 1.01004i −0.00664397 0.0468397i
\(466\) 24.7150 + 8.35368i 1.14490 + 0.386977i
\(467\) 5.88884 4.27849i 0.272503 0.197985i −0.443138 0.896453i \(-0.646135\pi\)
0.715641 + 0.698468i \(0.246135\pi\)
\(468\) −2.01330 3.86592i −0.0930649 0.178702i
\(469\) −12.7515 + 9.26452i −0.588811 + 0.427796i
\(470\) 5.59000 0.192069i 0.257847 0.00885950i
\(471\) 3.78194 + 2.23395i 0.174262 + 0.102935i
\(472\) −1.13008 + 0.761510i −0.0520163 + 0.0350513i
\(473\) 26.0252 + 8.45611i 1.19664 + 0.388812i
\(474\) 8.15404 13.4400i 0.374528 0.617320i
\(475\) −17.2280 19.6197i −0.790475 0.900212i
\(476\) −0.227646 0.761223i −0.0104341 0.0348906i
\(477\) −18.3916 2.30376i −0.842092 0.105482i
\(478\) −5.20509 16.6863i −0.238075 0.763211i
\(479\) −10.4638 7.60243i −0.478105 0.347364i 0.322486 0.946574i \(-0.395481\pi\)
−0.800592 + 0.599210i \(0.795481\pi\)
\(480\) 18.7196 + 11.3831i 0.854431 + 0.519565i
\(481\) 5.57715 4.05203i 0.254296 0.184757i
\(482\) −11.4891 8.55600i −0.523314 0.389715i
\(483\) 32.1588 + 36.4384i 1.46328 + 1.65800i
\(484\) −15.2390 + 10.5321i −0.692682 + 0.478732i
\(485\) −10.7537 7.07916i −0.488301 0.321448i
\(486\) 10.1879 19.5501i 0.462131 0.886811i
\(487\) 34.5774 11.2349i 1.56685 0.509101i 0.608226 0.793764i \(-0.291882\pi\)
0.958628 + 0.284663i \(0.0918816\pi\)
\(488\) 10.6201 + 0.375652i 0.480748 + 0.0170050i
\(489\) −8.36300 1.86474i −0.378188 0.0843264i
\(490\) 8.07486 6.30149i 0.364785 0.284672i
\(491\) 2.27746 + 7.00929i 0.102780 + 0.316325i 0.989203 0.146551i \(-0.0468174\pi\)
−0.886423 + 0.462876i \(0.846817\pi\)
\(492\) −4.91443 + 7.88909i −0.221560 + 0.355668i
\(493\) −0.939828 −0.0423277
\(494\) 0.0632282 5.36456i 0.00284477 0.241363i
\(495\) 29.3613 7.05084i 1.31969 0.316912i
\(496\) −0.0496519 + 1.05244i −0.00222944 + 0.0472560i
\(497\) −17.5327 + 24.1316i −0.786447 + 1.08245i
\(498\) −9.89645 + 8.52879i −0.443471 + 0.382184i
\(499\) 20.2854i 0.908101i −0.890976 0.454051i \(-0.849979\pi\)
0.890976 0.454051i \(-0.150021\pi\)
\(500\) 4.42782 21.9179i 0.198018 0.980198i
\(501\) −27.5911 + 2.62275i −1.23268 + 0.117176i
\(502\) −12.9044 + 9.14520i −0.575952 + 0.408170i
\(503\) −17.4711 12.6935i −0.778998 0.565975i 0.125680 0.992071i \(-0.459889\pi\)
−0.904678 + 0.426096i \(0.859889\pi\)
\(504\) 19.1435 + 19.2545i 0.852719 + 0.857663i
\(505\) −1.72339 37.3315i −0.0766897 1.66123i
\(506\) −55.8179 0.657885i −2.48141 0.0292465i
\(507\) 21.5056 2.04428i 0.955099 0.0907898i
\(508\) 16.9612 22.2241i 0.752532 0.986033i
\(509\) 2.01333 0.654171i 0.0892393 0.0289956i −0.264057 0.964507i \(-0.585061\pi\)
0.353296 + 0.935511i \(0.385061\pi\)
\(510\) −0.467207 0.494092i −0.0206883 0.0218788i
\(511\) −33.5449 10.8994i −1.48394 0.482161i
\(512\) −16.7950 15.1634i −0.742240 0.670135i
\(513\) 22.4182 15.2871i 0.989789 0.674944i
\(514\) 14.0416 + 19.8135i 0.619348 + 0.873936i
\(515\) −1.05454 + 1.60192i −0.0464686 + 0.0705889i
\(516\) 13.5588 + 16.1132i 0.596892 + 0.709346i
\(517\) −6.44123 + 4.67983i −0.283285 + 0.205819i
\(518\) −25.6487 + 34.4413i −1.12694 + 1.51327i
\(519\) −1.55872 1.76615i −0.0684203 0.0775254i
\(520\) 3.68774 2.74049i 0.161718 0.120178i
\(521\) −12.1266 + 16.6909i −0.531278 + 0.731241i −0.987324 0.158715i \(-0.949265\pi\)
0.456047 + 0.889956i \(0.349265\pi\)
\(522\) 28.3086 15.1694i 1.23903 0.663945i
\(523\) −10.2537 3.33162i −0.448362 0.145682i 0.0761284 0.997098i \(-0.475744\pi\)
−0.524490 + 0.851416i \(0.675744\pi\)
\(524\) 1.74884 + 5.84792i 0.0763984 + 0.255468i
\(525\) 11.8355 25.0569i 0.516545 1.09357i
\(526\) −12.3529 9.19930i −0.538613 0.401108i
\(527\) 0.0101054 0.0311014i 0.000440200 0.00135480i
\(528\) −31.1509 + 1.48485i −1.35567 + 0.0646199i
\(529\) −43.6008 31.6779i −1.89569 1.37730i
\(530\) −0.670917 19.5264i −0.0291428 0.848173i
\(531\) −0.988319 + 1.05467i −0.0428894 + 0.0457689i
\(532\) 9.57514 + 32.0182i 0.415135 + 1.38816i
\(533\) 1.14570 + 1.57692i 0.0496256 + 0.0683038i
\(534\) −23.5058 5.53279i −1.01720 0.239427i
\(535\) 14.0575 0.648956i 0.607758 0.0280568i
\(536\) 8.58248 10.9749i 0.370707 0.474042i
\(537\) 1.78159 + 4.11109i 0.0768814 + 0.177407i
\(538\) −11.1669 3.77440i −0.481437 0.162726i
\(539\) −4.50545 + 13.8664i −0.194064 + 0.597266i
\(540\) 22.0477 + 7.34159i 0.948782 + 0.315932i
\(541\) 0.557838 + 1.71685i 0.0239833 + 0.0738130i 0.962332 0.271878i \(-0.0876446\pi\)
−0.938348 + 0.345691i \(0.887645\pi\)
\(542\) 0.0646363 5.48403i 0.00277637 0.235559i
\(543\) 11.7062 1.11277i 0.502362 0.0477535i
\(544\) 0.378627 + 0.591505i 0.0162335 + 0.0253606i
\(545\) −2.09887 5.57120i −0.0899056 0.238644i
\(546\) 5.25081 2.20237i 0.224714 0.0942526i
\(547\) −1.36110 + 1.87339i −0.0581964 + 0.0801005i −0.837123 0.547014i \(-0.815764\pi\)
0.778927 + 0.627115i \(0.215764\pi\)
\(548\) 0.398159 16.8885i 0.0170085 0.721439i
\(549\) 11.0694 2.12367i 0.472433 0.0906360i
\(550\) 12.2375 + 29.3829i 0.521810 + 1.25289i
\(551\) 39.5306 1.68406
\(552\) −36.1924 23.1422i −1.54045 0.984996i
\(553\) 16.6137 + 12.0706i 0.706487 + 0.513293i
\(554\) 9.27810 + 29.7433i 0.394189 + 1.26367i
\(555\) −6.33575 + 36.2024i −0.268938 + 1.53671i
\(556\) 15.4850 20.2899i 0.656712 0.860482i
\(557\) 22.2726i 0.943720i 0.881673 + 0.471860i \(0.156417\pi\)
−0.881673 + 0.471860i \(0.843583\pi\)
\(558\) 0.197607 + 1.09991i 0.00836538 + 0.0465630i
\(559\) 4.20013 1.36470i 0.177646 0.0577208i
\(560\) −16.8460 + 23.1373i −0.711873 + 0.977728i
\(561\) 0.944757 + 0.210657i 0.0398877 + 0.00889395i
\(562\) 17.3705 + 5.87123i 0.732729 + 0.247663i
\(563\) −2.34577 7.21954i −0.0988625 0.304267i 0.889379 0.457172i \(-0.151137\pi\)
−0.988241 + 0.152904i \(0.951137\pi\)
\(564\) −6.11163 + 0.435896i −0.257346 + 0.0183545i
\(565\) −31.1091 + 11.7199i −1.30877 + 0.493059i
\(566\) −4.83649 1.63474i −0.203293 0.0687130i
\(567\) 24.3479 + 15.3799i 1.02251 + 0.645896i
\(568\) 9.02888 24.7719i 0.378843 1.03941i
\(569\) −15.0018 20.6482i −0.628908 0.865618i 0.369055 0.929408i \(-0.379681\pi\)
−0.997963 + 0.0637895i \(0.979681\pi\)
\(570\) 19.6514 + 20.7823i 0.823108 + 0.870474i
\(571\) −22.0534 + 30.3539i −0.922906 + 1.27027i 0.0396570 + 0.999213i \(0.487373\pi\)
−0.962563 + 0.271058i \(0.912627\pi\)
\(572\) −2.16704 + 6.17064i −0.0906086 + 0.258008i
\(573\) 8.38270 37.5948i 0.350192 1.57055i
\(574\) −9.73815 7.25206i −0.406462 0.302695i
\(575\) −9.64927 + 42.7695i −0.402402 + 1.78361i
\(576\) −20.9519 11.7055i −0.872995 0.487729i
\(577\) −10.7395 + 33.0529i −0.447093 + 1.37601i 0.433080 + 0.901356i \(0.357427\pi\)
−0.880173 + 0.474654i \(0.842573\pi\)
\(578\) 7.15279 + 22.9301i 0.297517 + 0.953767i
\(579\) −23.1275 13.6612i −0.961145 0.567738i
\(580\) 20.5117 + 26.9326i 0.851701 + 1.11832i
\(581\) −10.0314 13.8071i −0.416174 0.572815i
\(582\) 12.0579 + 7.31549i 0.499814 + 0.303237i
\(583\) 16.3471 + 22.4998i 0.677027 + 0.931848i
\(584\) 31.1577 + 1.10211i 1.28931 + 0.0456055i
\(585\) 3.16470 3.70582i 0.130844 0.153217i
\(586\) −19.6190 27.6835i −0.810451 1.14359i
\(587\) −4.78598 14.7297i −0.197538 0.607961i −0.999938 0.0111729i \(-0.996443\pi\)
0.802399 0.596788i \(-0.203557\pi\)
\(588\) −8.58521 + 7.22418i −0.354048 + 0.297920i
\(589\) −0.425050 + 1.30817i −0.0175139 + 0.0539022i
\(590\) −1.26261 0.852671i −0.0519808 0.0351039i
\(591\) −21.7516 + 9.42633i −0.894741 + 0.387747i
\(592\) 13.4179 35.5073i 0.551471 1.45934i
\(593\) 21.7592i 0.893542i −0.894648 0.446771i \(-0.852574\pi\)
0.894648 0.446771i \(-0.147426\pi\)
\(594\) −31.8572 + 8.90372i −1.30712 + 0.365324i
\(595\) 0.693819 0.554724i 0.0284438 0.0227415i
\(596\) −12.6387 4.43851i −0.517699 0.181809i
\(597\) 0.765992 1.29678i 0.0313500 0.0530735i
\(598\) −7.35025 + 5.20903i −0.300574 + 0.213013i
\(599\) 35.8420 1.46446 0.732232 0.681055i \(-0.238479\pi\)
0.732232 + 0.681055i \(0.238479\pi\)
\(600\) −3.96244 + 24.1723i −0.161766 + 0.986829i
\(601\) −1.96891 −0.0803136 −0.0401568 0.999193i \(-0.512786\pi\)
−0.0401568 + 0.999193i \(0.512786\pi\)
\(602\) −22.4450 + 15.9065i −0.914790 + 0.648300i
\(603\) 6.27783 13.3776i 0.255653 0.544776i
\(604\) 17.0879 + 6.00102i 0.695296 + 0.244178i
\(605\) −17.2990 11.3879i −0.703305 0.462985i
\(606\) 3.39346 + 40.7973i 0.137850 + 1.65728i
\(607\) 39.1284i 1.58817i 0.607805 + 0.794086i \(0.292050\pi\)
−0.607805 + 0.794086i \(0.707950\pi\)
\(608\) −15.9256 24.8796i −0.645870 1.00900i
\(609\) 16.6826 + 38.4958i 0.676014 + 1.55993i
\(610\) 4.05729 + 11.1668i 0.164275 + 0.452130i
\(611\) −0.397065 + 1.22204i −0.0160635 + 0.0494385i
\(612\) 0.531396 + 0.522025i 0.0214804 + 0.0211016i
\(613\) −9.83801 30.2783i −0.397354 1.22293i −0.927113 0.374781i \(-0.877718\pi\)
0.529760 0.848148i \(-0.322282\pi\)
\(614\) 25.5340 + 36.0299i 1.03047 + 1.45405i
\(615\) −10.2361 1.79141i −0.412759 0.0722366i
\(616\) 1.44014 40.7142i 0.0580249 1.64042i
\(617\) 21.9212 + 30.1720i 0.882515 + 1.21468i 0.975718 + 0.219031i \(0.0702896\pi\)
−0.0932026 + 0.995647i \(0.529710\pi\)
\(618\) 1.08975 1.79619i 0.0438360 0.0722533i
\(619\) 17.7900 + 24.4858i 0.715039 + 0.984167i 0.999674 + 0.0255308i \(0.00812760\pi\)
−0.284635 + 0.958636i \(0.591872\pi\)
\(620\) −1.11182 + 0.389193i −0.0446519 + 0.0156304i
\(621\) −42.8951 15.3668i −1.72132 0.616650i
\(622\) −1.23140 3.94757i −0.0493747 0.158283i
\(623\) 9.74811 30.0016i 0.390550 1.20199i
\(624\) −3.92636 + 3.14887i −0.157180 + 0.126056i
\(625\) 24.5756 4.58703i 0.983023 0.183481i
\(626\) −28.4724 21.2035i −1.13798 0.847464i
\(627\) −39.7379 8.86056i −1.58698 0.353857i
\(628\) 1.68058 4.78544i 0.0670623 0.190960i
\(629\) −0.692492 + 0.953133i −0.0276115 + 0.0380039i
\(630\) −11.9450 + 27.9075i −0.475899 + 1.11186i
\(631\) 10.0743 + 13.8661i 0.401052 + 0.552001i 0.961008 0.276522i \(-0.0891817\pi\)
−0.559955 + 0.828523i \(0.689182\pi\)
\(632\) −17.0545 6.21605i −0.678393 0.247261i
\(633\) 6.95723 + 7.88307i 0.276525 + 0.313324i
\(634\) 4.13818 + 1.39871i 0.164348 + 0.0555497i
\(635\) 30.1408 + 8.27774i 1.19610 + 0.328492i
\(636\) 1.52262 + 21.3485i 0.0603760 + 0.846523i
\(637\) 0.727120 + 2.23785i 0.0288096 + 0.0886667i
\(638\) −45.6524 15.4305i −1.80740 0.610900i
\(639\) 3.47583 27.7486i 0.137502 1.09772i
\(640\) 8.68724 23.7599i 0.343393 0.939192i
\(641\) −16.5445 + 5.37564i −0.653469 + 0.212325i −0.616943 0.787008i \(-0.711629\pi\)
−0.0365257 + 0.999333i \(0.511629\pi\)
\(642\) −15.3626 + 1.27784i −0.606312 + 0.0504322i
\(643\) 35.6925i 1.40758i 0.710410 + 0.703788i \(0.248509\pi\)
−0.710410 + 0.703788i \(0.751491\pi\)
\(644\) 34.0464 44.6106i 1.34162 1.75790i
\(645\) −11.0269 + 20.8027i −0.434184 + 0.819107i
\(646\) 0.273031 + 0.875269i 0.0107422 + 0.0344370i
\(647\) −27.2237 19.7791i −1.07027 0.777598i −0.0943110 0.995543i \(-0.530065\pi\)
−0.975961 + 0.217945i \(0.930065\pi\)
\(648\) −24.4320 7.14690i −0.959779 0.280757i
\(649\) 2.16871 0.0851295
\(650\) 4.38507 + 2.67550i 0.171997 + 0.104942i
\(651\) −1.45330 + 0.138148i −0.0569595 + 0.00541446i
\(652\) −0.233192 + 9.89116i −0.00913251 + 0.387368i
\(653\) 0.448429 0.617209i 0.0175484 0.0241533i −0.800153 0.599796i \(-0.795248\pi\)
0.817701 + 0.575643i \(0.195248\pi\)
\(654\) 2.52251 + 6.01408i 0.0986380 + 0.235169i
\(655\) −5.33011 + 4.26154i −0.208264 + 0.166512i
\(656\) 10.0396 + 3.79385i 0.391979 + 0.148125i
\(657\) 32.4761 6.23053i 1.26701 0.243076i
\(658\) 0.0943319 8.00354i 0.00367744 0.312010i
\(659\) −10.0879 31.0475i −0.392970 1.20944i −0.930531 0.366213i \(-0.880654\pi\)
0.537561 0.843225i \(-0.319346\pi\)
\(660\) −14.5825 31.6715i −0.567622 1.23281i
\(661\) 3.57185 10.9930i 0.138929 0.427579i −0.857251 0.514898i \(-0.827830\pi\)
0.996180 + 0.0873186i \(0.0278298\pi\)
\(662\) −23.1242 7.81598i −0.898746 0.303777i
\(663\) 0.143335 0.0621161i 0.00556667 0.00241239i
\(664\) 11.8834 + 9.29294i 0.461164 + 0.360636i
\(665\) −29.1831 + 23.3325i −1.13167 + 0.904797i
\(666\) 5.47446 39.8866i 0.212131 1.54557i
\(667\) −39.0175 53.7030i −1.51076 2.07939i
\(668\) 9.16937 + 30.6613i 0.354773 + 1.18632i
\(669\) −23.6011 26.7418i −0.912470 1.03390i
\(670\) 14.9709 + 4.30191i 0.578375 + 0.166197i
\(671\) −13.6822 9.94067i −0.528194 0.383755i
\(672\) 17.5074 26.0084i 0.675363 1.00330i
\(673\) 2.75025 8.46439i 0.106014 0.326278i −0.883953 0.467576i \(-0.845127\pi\)
0.989967 + 0.141298i \(0.0451274\pi\)
\(674\) 27.8722 + 20.7566i 1.07360 + 0.799515i
\(675\) 1.62077 + 25.9302i 0.0623834 + 0.998052i
\(676\) −7.14699 23.8987i −0.274884 0.919182i
\(677\) −15.6087 5.07159i −0.599892 0.194917i −0.00669995 0.999978i \(-0.502133\pi\)
−0.593192 + 0.805061i \(0.702133\pi\)
\(678\) 33.5821 14.0855i 1.28971 0.540949i
\(679\) −10.8293 + 14.9052i −0.415589 + 0.572009i
\(680\) −0.454661 + 0.640180i −0.0174354 + 0.0245498i
\(681\) 9.30430 8.21154i 0.356541 0.314667i
\(682\) 1.00151 1.34484i 0.0383498 0.0514966i
\(683\) 10.0070 7.27049i 0.382906 0.278198i −0.379636 0.925136i \(-0.623951\pi\)
0.762542 + 0.646938i \(0.223951\pi\)
\(684\) −22.3513 21.9572i −0.854624 0.839553i
\(685\) 17.6745 6.65859i 0.675306 0.254411i
\(686\) 9.84082 + 13.8860i 0.375724 + 0.530169i
\(687\) −6.19938 14.3053i −0.236521 0.545781i
\(688\) 15.2042 18.9772i 0.579655 0.723500i
\(689\) 4.26870 + 1.38699i 0.162625 + 0.0528399i
\(690\) 8.83670 47.2093i 0.336408 1.79723i
\(691\) 43.1146 14.0088i 1.64016 0.532919i 0.663583 0.748103i \(-0.269035\pi\)
0.976574 + 0.215184i \(0.0690350\pi\)
\(692\) −1.65021 + 2.16225i −0.0627316 + 0.0821965i
\(693\) −8.14152 42.4370i −0.309271 1.61205i
\(694\) −14.2497 0.167951i −0.540910 0.00637531i
\(695\) 27.5176 + 7.55731i 1.04380 + 0.286665i
\(696\) −23.5413 28.6552i −0.892330 1.08617i
\(697\) −0.269495 0.195799i −0.0102078 0.00741643i
\(698\) −36.8628 + 26.1242i −1.39528 + 0.988816i
\(699\) −3.02365 31.8085i −0.114365 1.20311i
\(700\) −31.0393 7.77594i −1.17317 0.293903i
\(701\) 1.35372i 0.0511291i 0.999673 + 0.0255646i \(0.00813834\pi\)
−0.999673 + 0.0255646i \(0.991862\pi\)
\(702\) −3.31481 + 4.18451i −0.125110 + 0.157934i
\(703\) 29.1273 40.0903i 1.09856 1.51203i
\(704\) 8.68032 + 34.9490i 0.327152 + 1.31719i
\(705\) −3.01087 6.15322i −0.113396 0.231744i
\(706\) −0.480660 + 40.7813i −0.0180899 + 1.53483i
\(707\) −53.4788 −2.01128
\(708\) 1.41660 + 0.882456i 0.0532390 + 0.0331647i
\(709\) −5.19840 15.9990i −0.195230 0.600856i −0.999974 0.00723397i \(-0.997697\pi\)
0.804744 0.593622i \(-0.202303\pi\)
\(710\) 29.4608 1.01226i 1.10564 0.0379893i
\(711\) −19.1038 2.39298i −0.716450 0.0897438i
\(712\) −0.985693 + 27.8665i −0.0369404 + 1.04434i
\(713\) 2.19670 0.713753i 0.0822672 0.0267302i
\(714\) −0.737133 + 0.635263i −0.0275865 + 0.0237741i
\(715\) −7.30427 + 0.337198i −0.273164 + 0.0126105i
\(716\) 4.25609 2.94151i 0.159058 0.109929i
\(717\) −16.0506 + 14.1655i −0.599422 + 0.529022i
\(718\) 10.1409 + 7.55199i 0.378455 + 0.281838i
\(719\) −13.8410 + 10.0561i −0.516183 + 0.375029i −0.815164 0.579230i \(-0.803353\pi\)
0.298981 + 0.954259i \(0.403353\pi\)
\(720\) 3.36199 26.6214i 0.125294 0.992120i
\(721\) 2.22034 + 1.61317i 0.0826897 + 0.0600776i
\(722\) −3.48253 11.1641i −0.129606 0.415487i
\(723\) −3.81820 + 17.1239i −0.142000 + 0.636845i
\(724\) −3.89034 13.0088i −0.144583 0.483470i
\(725\) −19.3318 + 32.5408i −0.717965 + 1.20853i
\(726\) 19.3969 + 11.7681i 0.719888 + 0.436755i
\(727\) 17.7367 + 5.76300i 0.657817 + 0.213738i 0.618858 0.785503i \(-0.287596\pi\)
0.0389592 + 0.999241i \(0.487596\pi\)
\(728\) −3.67415 5.45245i −0.136173 0.202081i
\(729\) −26.9519 1.61037i −0.998220 0.0596435i
\(730\) 11.9035 + 32.7616i 0.440567 + 1.21256i
\(731\) −0.610598 + 0.443625i −0.0225838 + 0.0164081i
\(732\) −4.89226 12.0605i −0.180823 0.445770i
\(733\) −19.9770 + 14.5141i −0.737867 + 0.536092i −0.892042 0.451952i \(-0.850728\pi\)
0.154176 + 0.988043i \(0.450728\pi\)
\(734\) −7.43573 2.51328i −0.274458 0.0927669i
\(735\) −11.0838 5.87519i −0.408832 0.216710i
\(736\) −18.0804 + 46.1919i −0.666454 + 1.70266i
\(737\) −21.0875 + 6.85174i −0.776768 + 0.252387i
\(738\) 11.2778 + 1.54788i 0.415141 + 0.0569783i
\(739\) −3.68331 1.19678i −0.135493 0.0440243i 0.240486 0.970653i \(-0.422693\pi\)
−0.375978 + 0.926628i \(0.622693\pi\)
\(740\) 42.4275 0.957337i 1.55967 0.0351924i
\(741\) −6.02889 + 2.61270i −0.221477 + 0.0959798i
\(742\) −27.9571 0.329510i −1.02634 0.0120967i
\(743\) 15.3603 0.563515 0.281758 0.959486i \(-0.409083\pi\)
0.281758 + 0.959486i \(0.409083\pi\)
\(744\) 1.20140 0.470929i 0.0440456 0.0172651i
\(745\) −0.690645 14.9605i −0.0253033 0.548112i
\(746\) 5.76055 + 18.4669i 0.210909 + 0.676122i
\(747\) 14.4849 + 6.79751i 0.529977 + 0.248708i
\(748\) 0.0263434 1.11739i 0.000963211 0.0408559i
\(749\) 20.1379i 0.735823i
\(750\) −26.7178 + 6.01341i −0.975595 + 0.219579i
\(751\) 39.7874i 1.45186i −0.687767 0.725931i \(-0.741409\pi\)
0.687767 0.725931i \(-0.258591\pi\)
\(752\) 1.86678 + 6.82430i 0.0680744 + 0.248857i
\(753\) 16.6787 + 9.85191i 0.607804 + 0.359024i
\(754\) −7.42434 + 2.31594i −0.270378 + 0.0843415i
\(755\) 0.933776 + 20.2272i 0.0339836 + 0.736142i
\(756\) 11.9497 31.0325i 0.434607 1.12864i
\(757\) 8.72798 0.317224 0.158612 0.987341i \(-0.449298\pi\)
0.158612 + 0.987341i \(0.449298\pi\)
\(758\) 0.0436230 3.70117i 0.00158446 0.134432i
\(759\) 27.1849 + 62.7302i 0.986750 + 2.27696i
\(760\) 19.1237 26.9269i 0.693690 0.976743i
\(761\) 5.76338 + 1.87263i 0.208922 + 0.0678829i 0.411608 0.911361i \(-0.364967\pi\)
−0.202686 + 0.979244i \(0.564967\pi\)
\(762\) −33.3293 7.84504i −1.20739 0.284196i
\(763\) −8.10250 + 2.63266i −0.293330 + 0.0953088i
\(764\) −44.4645 1.04829i −1.60867 0.0379257i
\(765\) −0.318667 + 0.769458i −0.0115214 + 0.0278198i
\(766\) 9.29548 27.5014i 0.335859 0.993665i
\(767\) 0.283157 0.205726i 0.0102242 0.00742833i
\(768\) −8.55088 + 26.3606i −0.308553 + 0.951207i
\(769\) −36.9023 + 26.8111i −1.33073 + 0.966832i −0.330999 + 0.943631i \(0.607386\pi\)
−0.999731 + 0.0232007i \(0.992614\pi\)
\(770\) 42.8101 15.5544i 1.54277 0.560543i
\(771\) 15.1267 25.6085i 0.544774 0.922268i
\(772\) −10.2771 + 29.2641i −0.369883 + 1.05324i
\(773\) 39.1731 + 12.7281i 1.40896 + 0.457799i 0.912077 0.410019i \(-0.134478\pi\)
0.496883 + 0.867818i \(0.334478\pi\)