Properties

Label 380.2.v.c.7.18
Level $380$
Weight $2$
Character 380.7
Analytic conductor $3.034$
Analytic rank $0$
Dimension $216$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(7,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 3, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.v (of order \(12\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(216\)
Relative dimension: \(54\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 7.18
Character \(\chi\) \(=\) 380.7
Dual form 380.2.v.c.163.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.691641 - 1.23354i) q^{2} +(0.549358 - 2.05023i) q^{3} +(-1.04326 + 1.70634i) q^{4} +(-0.716472 + 2.11818i) q^{5} +(-2.90901 + 0.740368i) q^{6} +(-3.20712 + 3.20712i) q^{7} +(2.82641 + 0.106737i) q^{8} +(-1.30358 - 0.752624i) q^{9} +O(q^{10})\) \(q+(-0.691641 - 1.23354i) q^{2} +(0.549358 - 2.05023i) q^{3} +(-1.04326 + 1.70634i) q^{4} +(-0.716472 + 2.11818i) q^{5} +(-2.90901 + 0.740368i) q^{6} +(-3.20712 + 3.20712i) q^{7} +(2.82641 + 0.106737i) q^{8} +(-1.30358 - 0.752624i) q^{9} +(3.10841 - 0.581217i) q^{10} -2.94062i q^{11} +(2.92527 + 3.07633i) q^{12} +(1.52089 + 5.67606i) q^{13} +(6.17430 + 1.73795i) q^{14} +(3.94915 + 2.63257i) q^{15} +(-1.82320 - 3.56033i) q^{16} +(-0.532836 + 1.98857i) q^{17} +(-0.0267833 + 2.12857i) q^{18} +(1.87325 + 3.93585i) q^{19} +(-2.86686 - 3.43236i) q^{20} +(4.81348 + 8.33719i) q^{21} +(-3.62739 + 2.03385i) q^{22} +(-4.43782 + 1.18911i) q^{23} +(1.77155 - 5.73617i) q^{24} +(-3.97333 - 3.03523i) q^{25} +(5.94976 - 5.80189i) q^{26} +(2.24343 - 2.24343i) q^{27} +(-2.12656 - 8.81831i) q^{28} +(3.58256 + 2.06839i) q^{29} +(0.515998 - 6.69225i) q^{30} +0.953203i q^{31} +(-3.13082 + 4.71147i) q^{32} +(-6.02896 - 1.61545i) q^{33} +(2.82152 - 0.718101i) q^{34} +(-4.49543 - 9.09105i) q^{35} +(2.64422 - 1.43917i) q^{36} +(-6.00268 - 6.00268i) q^{37} +(3.55943 - 5.03294i) q^{38} +12.4728 q^{39} +(-2.25113 + 5.91036i) q^{40} +(0.570475 + 0.988092i) q^{41} +(6.95510 - 11.7040i) q^{42} +(-1.86607 + 6.96428i) q^{43} +(5.01770 + 3.06784i) q^{44} +(2.52817 - 2.22198i) q^{45} +(4.53620 + 4.65181i) q^{46} +(2.49596 + 9.31505i) q^{47} +(-8.30109 + 1.78209i) q^{48} -13.5712i q^{49} +(-0.995967 + 7.00057i) q^{50} +(3.78431 + 2.18487i) q^{51} +(-11.2720 - 3.32646i) q^{52} +(-1.71013 - 6.38230i) q^{53} +(-4.31903 - 1.21572i) q^{54} +(6.22875 + 2.10687i) q^{55} +(-9.40695 + 8.72232i) q^{56} +(9.09850 - 1.67841i) q^{57} +(0.0736069 - 5.84984i) q^{58} +(-0.409344 - 0.709004i) q^{59} +(-8.61208 + 3.99213i) q^{60} +(-4.02144 + 6.96534i) q^{61} +(1.17582 - 0.659275i) q^{62} +(6.59450 - 1.76699i) q^{63} +(7.97721 + 0.603365i) q^{64} +(-13.1126 - 0.845216i) q^{65} +(2.17714 + 8.55430i) q^{66} +(2.47306 + 9.22960i) q^{67} +(-2.83729 - 2.98380i) q^{68} +9.75182i q^{69} +(-8.10499 + 11.8331i) q^{70} +(9.12712 - 5.26955i) q^{71} +(-3.60413 - 2.26637i) q^{72} +(-1.16313 - 0.311659i) q^{73} +(-3.25287 + 11.5563i) q^{74} +(-8.40571 + 6.47883i) q^{75} +(-8.67020 - 0.909726i) q^{76} +(9.43091 + 9.43091i) q^{77} +(-8.62667 - 15.3857i) q^{78} +(-4.93303 - 8.54425i) q^{79} +(8.84767 - 1.31098i) q^{80} +(-5.62499 - 9.74276i) q^{81} +(0.824291 - 1.38711i) q^{82} +(2.67765 + 2.67765i) q^{83} +(-19.2478 - 0.484457i) q^{84} +(-3.83038 - 2.55339i) q^{85} +(9.88141 - 2.51490i) q^{86} +(6.20880 - 6.20880i) q^{87} +(0.313873 - 8.31141i) q^{88} +(14.4739 + 8.35651i) q^{89} +(-4.48950 - 1.58180i) q^{90} +(-23.0815 - 13.3261i) q^{91} +(2.60079 - 8.81300i) q^{92} +(1.95429 + 0.523650i) q^{93} +(9.76422 - 9.52155i) q^{94} +(-9.67896 + 1.14795i) q^{95} +(7.93966 + 9.00720i) q^{96} +(1.77309 - 6.61724i) q^{97} +(-16.7407 + 9.38640i) q^{98} +(-2.21318 + 3.83334i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 216 q + 12 q^{6} - 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 216 q + 12 q^{6} - 36 q^{8} + 4 q^{10} - 20 q^{12} - 8 q^{13} + 8 q^{16} - 16 q^{17} + 12 q^{18} - 48 q^{20} + 40 q^{21} + 16 q^{22} - 16 q^{25} + 24 q^{26} + 8 q^{28} - 12 q^{30} - 20 q^{32} + 20 q^{33} - 56 q^{36} - 32 q^{37} - 18 q^{38} - 48 q^{41} + 54 q^{42} - 104 q^{45} - 24 q^{46} - 4 q^{48} + 8 q^{50} - 14 q^{52} - 16 q^{53} - 16 q^{56} + 12 q^{57} - 136 q^{58} + 50 q^{60} - 84 q^{61} + 42 q^{62} - 56 q^{65} + 28 q^{68} - 130 q^{70} + 80 q^{72} - 36 q^{73} + 96 q^{77} + 36 q^{78} + 6 q^{80} + 76 q^{81} - 16 q^{85} + 88 q^{86} + 104 q^{88} - 86 q^{90} + 28 q^{92} - 84 q^{93} - 128 q^{96} + 12 q^{97} + 34 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{4}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.691641 1.23354i −0.489064 0.872248i
\(3\) 0.549358 2.05023i 0.317172 1.18370i −0.604778 0.796394i \(-0.706738\pi\)
0.921950 0.387308i \(-0.126595\pi\)
\(4\) −1.04326 + 1.70634i −0.521632 + 0.853170i
\(5\) −0.716472 + 2.11818i −0.320416 + 0.947277i
\(6\) −2.90901 + 0.740368i −1.18760 + 0.302254i
\(7\) −3.20712 + 3.20712i −1.21218 + 1.21218i −0.241867 + 0.970309i \(0.577760\pi\)
−0.970309 + 0.241867i \(0.922240\pi\)
\(8\) 2.82641 + 0.106737i 0.999288 + 0.0377372i
\(9\) −1.30358 0.752624i −0.434528 0.250875i
\(10\) 3.10841 0.581217i 0.982964 0.183797i
\(11\) 2.94062i 0.886630i −0.896366 0.443315i \(-0.853802\pi\)
0.896366 0.443315i \(-0.146198\pi\)
\(12\) 2.92527 + 3.07633i 0.844453 + 0.888059i
\(13\) 1.52089 + 5.67606i 0.421820 + 1.57426i 0.770770 + 0.637114i \(0.219872\pi\)
−0.348950 + 0.937141i \(0.613462\pi\)
\(14\) 6.17430 + 1.73795i 1.65015 + 0.464486i
\(15\) 3.94915 + 2.63257i 1.01967 + 0.679727i
\(16\) −1.82320 3.56033i −0.455800 0.890082i
\(17\) −0.532836 + 1.98857i −0.129232 + 0.482299i −0.999955 0.00947396i \(-0.996984\pi\)
0.870724 + 0.491773i \(0.163651\pi\)
\(18\) −0.0267833 + 2.12857i −0.00631287 + 0.501710i
\(19\) 1.87325 + 3.93585i 0.429754 + 0.902946i
\(20\) −2.86686 3.43236i −0.641049 0.767500i
\(21\) 4.81348 + 8.33719i 1.05039 + 1.81932i
\(22\) −3.62739 + 2.03385i −0.773361 + 0.433619i
\(23\) −4.43782 + 1.18911i −0.925350 + 0.247947i −0.689871 0.723932i \(-0.742333\pi\)
−0.235479 + 0.971879i \(0.575666\pi\)
\(24\) 1.77155 5.73617i 0.361616 1.17089i
\(25\) −3.97333 3.03523i −0.794667 0.607046i
\(26\) 5.94976 5.80189i 1.16684 1.13784i
\(27\) 2.24343 2.24343i 0.431749 0.431749i
\(28\) −2.12656 8.81831i −0.401883 1.66650i
\(29\) 3.58256 + 2.06839i 0.665265 + 0.384091i 0.794280 0.607552i \(-0.207848\pi\)
−0.129015 + 0.991643i \(0.541182\pi\)
\(30\) 0.515998 6.69225i 0.0942078 1.22183i
\(31\) 0.953203i 0.171200i 0.996330 + 0.0856002i \(0.0272808\pi\)
−0.996330 + 0.0856002i \(0.972719\pi\)
\(32\) −3.13082 + 4.71147i −0.553457 + 0.832878i
\(33\) −6.02896 1.61545i −1.04951 0.281214i
\(34\) 2.82152 0.718101i 0.483887 0.123153i
\(35\) −4.49543 9.09105i −0.759866 1.53667i
\(36\) 2.64422 1.43917i 0.440703 0.239862i
\(37\) −6.00268 6.00268i −0.986835 0.986835i 0.0130799 0.999914i \(-0.495836\pi\)
−0.999914 + 0.0130799i \(0.995836\pi\)
\(38\) 3.55943 5.03294i 0.577416 0.816450i
\(39\) 12.4728 1.99724
\(40\) −2.25113 + 5.91036i −0.355936 + 0.934511i
\(41\) 0.570475 + 0.988092i 0.0890933 + 0.154314i 0.907128 0.420855i \(-0.138270\pi\)
−0.818035 + 0.575169i \(0.804936\pi\)
\(42\) 6.95510 11.7040i 1.07319 1.80596i
\(43\) −1.86607 + 6.96428i −0.284574 + 1.06204i 0.664577 + 0.747220i \(0.268612\pi\)
−0.949150 + 0.314823i \(0.898055\pi\)
\(44\) 5.01770 + 3.06784i 0.756447 + 0.462495i
\(45\) 2.52817 2.22198i 0.376878 0.331234i
\(46\) 4.53620 + 4.65181i 0.668827 + 0.685873i
\(47\) 2.49596 + 9.31505i 0.364073 + 1.35874i 0.868673 + 0.495386i \(0.164973\pi\)
−0.504600 + 0.863353i \(0.668360\pi\)
\(48\) −8.30109 + 1.78209i −1.19816 + 0.257222i
\(49\) 13.5712i 1.93874i
\(50\) −0.995967 + 7.00057i −0.140851 + 0.990031i
\(51\) 3.78431 + 2.18487i 0.529910 + 0.305944i
\(52\) −11.2720 3.32646i −1.56314 0.461297i
\(53\) −1.71013 6.38230i −0.234905 0.876677i −0.978192 0.207704i \(-0.933401\pi\)
0.743287 0.668973i \(-0.233266\pi\)
\(54\) −4.31903 1.21572i −0.587745 0.165439i
\(55\) 6.22875 + 2.10687i 0.839884 + 0.284091i
\(56\) −9.40695 + 8.72232i −1.25706 + 1.16557i
\(57\) 9.09850 1.67841i 1.20513 0.222311i
\(58\) 0.0736069 5.84984i 0.00966505 0.768121i
\(59\) −0.409344 0.709004i −0.0532920 0.0923045i 0.838149 0.545442i \(-0.183638\pi\)
−0.891441 + 0.453137i \(0.850305\pi\)
\(60\) −8.61208 + 3.99213i −1.11181 + 0.515382i
\(61\) −4.02144 + 6.96534i −0.514893 + 0.891820i 0.484958 + 0.874537i \(0.338835\pi\)
−0.999851 + 0.0172828i \(0.994498\pi\)
\(62\) 1.17582 0.659275i 0.149329 0.0837280i
\(63\) 6.59450 1.76699i 0.830829 0.222620i
\(64\) 7.97721 + 0.603365i 0.997152 + 0.0754206i
\(65\) −13.1126 0.845216i −1.62641 0.104836i
\(66\) 2.17714 + 8.55430i 0.267988 + 1.05296i
\(67\) 2.47306 + 9.22960i 0.302133 + 1.12757i 0.935386 + 0.353630i \(0.115053\pi\)
−0.633253 + 0.773945i \(0.718281\pi\)
\(68\) −2.83729 2.98380i −0.344072 0.361839i
\(69\) 9.75182i 1.17398i
\(70\) −8.10499 + 11.8331i −0.968732 + 1.41432i
\(71\) 9.12712 5.26955i 1.08319 0.625380i 0.151435 0.988467i \(-0.451611\pi\)
0.931755 + 0.363087i \(0.118277\pi\)
\(72\) −3.60413 2.26637i −0.424751 0.267094i
\(73\) −1.16313 0.311659i −0.136134 0.0364769i 0.190109 0.981763i \(-0.439116\pi\)
−0.326242 + 0.945286i \(0.605783\pi\)
\(74\) −3.25287 + 11.5563i −0.378139 + 1.34339i
\(75\) −8.40571 + 6.47883i −0.970608 + 0.748111i
\(76\) −8.67020 0.909726i −0.994540 0.104353i
\(77\) 9.43091 + 9.43091i 1.07475 + 1.07475i
\(78\) −8.62667 15.3857i −0.976778 1.74209i
\(79\) −4.93303 8.54425i −0.555009 0.961304i −0.997903 0.0647296i \(-0.979382\pi\)
0.442894 0.896574i \(-0.353952\pi\)
\(80\) 8.84767 1.31098i 0.989200 0.146572i
\(81\) −5.62499 9.74276i −0.624998 1.08253i
\(82\) 0.824291 1.38711i 0.0910278 0.153181i
\(83\) 2.67765 + 2.67765i 0.293910 + 0.293910i 0.838623 0.544713i \(-0.183361\pi\)
−0.544713 + 0.838623i \(0.683361\pi\)
\(84\) −19.2478 0.484457i −2.10011 0.0528586i
\(85\) −3.83038 2.55339i −0.415463 0.276954i
\(86\) 9.88141 2.51490i 1.06554 0.271189i
\(87\) 6.20880 6.20880i 0.665653 0.665653i
\(88\) 0.313873 8.31141i 0.0334590 0.885999i
\(89\) 14.4739 + 8.35651i 1.53423 + 0.885789i 0.999160 + 0.0409816i \(0.0130485\pi\)
0.535071 + 0.844807i \(0.320285\pi\)
\(90\) −4.48950 1.58180i −0.473235 0.166736i
\(91\) −23.0815 13.3261i −2.41960 1.39695i
\(92\) 2.60079 8.81300i 0.271152 0.918819i
\(93\) 1.95429 + 0.523650i 0.202650 + 0.0543000i
\(94\) 9.76422 9.52155i 1.00710 0.982073i
\(95\) −9.67896 + 1.14795i −0.993040 + 0.117777i
\(96\) 7.93966 + 9.00720i 0.810338 + 0.919294i
\(97\) 1.77309 6.61724i 0.180030 0.671879i −0.815611 0.578601i \(-0.803599\pi\)
0.995640 0.0932781i \(-0.0297346\pi\)
\(98\) −16.7407 + 9.38640i −1.69106 + 0.948170i
\(99\) −2.21318 + 3.83334i −0.222433 + 0.385266i
\(100\) 9.32437 3.61332i 0.932437 0.361332i
\(101\) −0.672741 + 1.16522i −0.0669402 + 0.115944i −0.897553 0.440907i \(-0.854657\pi\)
0.830613 + 0.556850i \(0.187990\pi\)
\(102\) 0.0777520 6.17927i 0.00769859 0.611839i
\(103\) 0.0647913 + 0.0647913i 0.00638408 + 0.00638408i 0.710292 0.703908i \(-0.248563\pi\)
−0.703908 + 0.710292i \(0.748563\pi\)
\(104\) 3.69283 + 16.2052i 0.362112 + 1.58905i
\(105\) −21.1084 + 4.22243i −2.05997 + 0.412067i
\(106\) −6.69006 + 6.52379i −0.649796 + 0.633647i
\(107\) −0.809073 + 0.809073i −0.0782160 + 0.0782160i −0.745132 0.666916i \(-0.767614\pi\)
0.666916 + 0.745132i \(0.267614\pi\)
\(108\) 1.48757 + 6.16856i 0.143141 + 0.593570i
\(109\) −11.0949 + 6.40562i −1.06269 + 0.613547i −0.926176 0.377091i \(-0.876924\pi\)
−0.136518 + 0.990638i \(0.543591\pi\)
\(110\) −1.70914 9.14064i −0.162960 0.871526i
\(111\) −15.6045 + 9.00927i −1.48111 + 0.855122i
\(112\) 17.2656 + 5.57118i 1.63145 + 0.526427i
\(113\) −4.03104 + 4.03104i −0.379209 + 0.379209i −0.870817 0.491608i \(-0.836409\pi\)
0.491608 + 0.870817i \(0.336409\pi\)
\(114\) −8.36329 10.0625i −0.783294 0.942444i
\(115\) 0.660832 10.2521i 0.0616229 0.956009i
\(116\) −7.26695 + 3.95519i −0.674719 + 0.367230i
\(117\) 2.28932 8.54388i 0.211648 0.789882i
\(118\) −0.591469 + 0.995320i −0.0544491 + 0.0916266i
\(119\) −4.66871 8.08644i −0.427980 0.741283i
\(120\) 10.8809 + 7.86226i 0.993289 + 0.717722i
\(121\) 2.35275 0.213886
\(122\) 11.3734 + 0.143109i 1.02970 + 0.0129565i
\(123\) 2.33921 0.626791i 0.210920 0.0565158i
\(124\) −1.62649 0.994443i −0.146063 0.0893036i
\(125\) 9.27593 6.24156i 0.829665 0.558262i
\(126\) −6.74069 6.91248i −0.600508 0.615813i
\(127\) −1.35959 5.07405i −0.120644 0.450249i 0.879003 0.476816i \(-0.158209\pi\)
−0.999647 + 0.0265669i \(0.991542\pi\)
\(128\) −4.77309 10.2576i −0.421886 0.906649i
\(129\) 13.2533 + 7.65177i 1.16688 + 0.673701i
\(130\) 8.02658 + 16.7595i 0.703978 + 1.46991i
\(131\) 3.36646 1.94363i 0.294129 0.169816i −0.345673 0.938355i \(-0.612349\pi\)
0.639802 + 0.768539i \(0.279016\pi\)
\(132\) 9.04631 8.60211i 0.787380 0.748718i
\(133\) −18.6305 6.61500i −1.61547 0.573593i
\(134\) 9.67464 9.43420i 0.835762 0.814991i
\(135\) 3.14463 + 6.35935i 0.270647 + 0.547325i
\(136\) −1.71827 + 5.56364i −0.147340 + 0.477079i
\(137\) −2.39148 + 0.640796i −0.204318 + 0.0547469i −0.359527 0.933135i \(-0.617062\pi\)
0.155208 + 0.987882i \(0.450395\pi\)
\(138\) 12.0293 6.74476i 1.02400 0.574152i
\(139\) 1.78363 3.08934i 0.151286 0.262035i −0.780415 0.625262i \(-0.784992\pi\)
0.931700 + 0.363228i \(0.118325\pi\)
\(140\) 20.2023 + 1.81364i 1.70741 + 0.153280i
\(141\) 20.4692 1.72382
\(142\) −12.8129 7.61408i −1.07524 0.638959i
\(143\) 16.6911 4.47237i 1.39578 0.373999i
\(144\) −0.302898 + 6.01337i −0.0252415 + 0.501114i
\(145\) −6.94803 + 6.10655i −0.577002 + 0.507121i
\(146\) 0.420021 + 1.65032i 0.0347612 + 0.136582i
\(147\) −27.8241 7.45545i −2.29489 0.614915i
\(148\) 16.5050 3.98024i 1.35670 0.327173i
\(149\) 6.68587 3.86009i 0.547728 0.316231i −0.200477 0.979698i \(-0.564249\pi\)
0.748205 + 0.663467i \(0.230916\pi\)
\(150\) 13.8057 + 5.88779i 1.12723 + 0.480736i
\(151\) 3.31404i 0.269692i −0.990867 0.134846i \(-0.956946\pi\)
0.990867 0.134846i \(-0.0430540\pi\)
\(152\) 4.87448 + 11.3243i 0.395373 + 0.918521i
\(153\) 2.19124 2.19124i 0.177151 0.177151i
\(154\) 5.11064 18.1563i 0.411827 1.46307i
\(155\) −2.01905 0.682944i −0.162174 0.0548554i
\(156\) −13.0124 + 21.2828i −1.04182 + 1.70399i
\(157\) 2.23235 8.33124i 0.178161 0.664905i −0.817831 0.575459i \(-0.804824\pi\)
0.995992 0.0894465i \(-0.0285098\pi\)
\(158\) −7.12783 + 11.9947i −0.567060 + 0.954245i
\(159\) −14.0247 −1.11223
\(160\) −7.73657 10.0073i −0.611629 0.791144i
\(161\) 10.4190 18.0462i 0.821132 1.42224i
\(162\) −8.12766 + 13.6772i −0.638569 + 1.07458i
\(163\) 0.571477 + 0.571477i 0.0447615 + 0.0447615i 0.729133 0.684372i \(-0.239923\pi\)
−0.684372 + 0.729133i \(0.739923\pi\)
\(164\) −2.28118 0.0574160i −0.178130 0.00448343i
\(165\) 7.74140 11.6130i 0.602667 0.904068i
\(166\) 1.45103 5.15497i 0.112622 0.400104i
\(167\) −0.269474 1.00569i −0.0208526 0.0778228i 0.954715 0.297520i \(-0.0961596\pi\)
−0.975568 + 0.219698i \(0.929493\pi\)
\(168\) 12.7150 + 24.0781i 0.980983 + 1.85767i
\(169\) −18.6462 + 10.7654i −1.43432 + 0.828106i
\(170\) −0.500478 + 6.49097i −0.0383849 + 0.497835i
\(171\) 0.520277 6.54057i 0.0397865 0.500170i
\(172\) −9.93664 10.4497i −0.757661 0.796786i
\(173\) 3.76991 + 1.01014i 0.286621 + 0.0767999i 0.399265 0.916836i \(-0.369265\pi\)
−0.112644 + 0.993635i \(0.535932\pi\)
\(174\) −11.9531 3.36457i −0.906162 0.255067i
\(175\) 22.4773 3.00862i 1.69912 0.227430i
\(176\) −10.4696 + 5.36134i −0.789174 + 0.404126i
\(177\) −1.67850 + 0.449753i −0.126164 + 0.0338055i
\(178\) 0.297379 23.6339i 0.0222895 1.77144i
\(179\) 11.4862 0.858516 0.429258 0.903182i \(-0.358775\pi\)
0.429258 + 0.903182i \(0.358775\pi\)
\(180\) 1.15391 + 6.63204i 0.0860074 + 0.494323i
\(181\) −5.01281 + 8.68245i −0.372600 + 0.645361i −0.989965 0.141315i \(-0.954867\pi\)
0.617365 + 0.786677i \(0.288200\pi\)
\(182\) −0.474229 + 37.6889i −0.0351522 + 2.79369i
\(183\) 12.0714 + 12.0714i 0.892340 + 0.892340i
\(184\) −12.6700 + 2.88724i −0.934048 + 0.212850i
\(185\) 17.0155 8.41398i 1.25100 0.618608i
\(186\) −0.705721 2.77288i −0.0517460 0.203317i
\(187\) 5.84763 + 1.56687i 0.427621 + 0.114581i
\(188\) −18.4986 5.45910i −1.34915 0.398146i
\(189\) 14.3899i 1.04671i
\(190\) 8.11041 + 11.1455i 0.588391 + 0.808576i
\(191\) 3.36331i 0.243360i −0.992569 0.121680i \(-0.961172\pi\)
0.992569 0.121680i \(-0.0388282\pi\)
\(192\) 5.61939 16.0237i 0.405544 1.15641i
\(193\) 25.0979 + 6.72495i 1.80658 + 0.484073i 0.994975 0.100129i \(-0.0319254\pi\)
0.811609 + 0.584201i \(0.198592\pi\)
\(194\) −9.38900 + 2.38958i −0.674091 + 0.171562i
\(195\) −8.93638 + 26.4195i −0.639948 + 1.89194i
\(196\) 23.1571 + 14.1583i 1.65408 + 1.01131i
\(197\) −5.81391 5.81391i −0.414224 0.414224i 0.468983 0.883207i \(-0.344621\pi\)
−0.883207 + 0.468983i \(0.844621\pi\)
\(198\) 6.25933 + 0.0787594i 0.444831 + 0.00559719i
\(199\) −2.13514 + 3.69817i −0.151356 + 0.262156i −0.931726 0.363162i \(-0.881697\pi\)
0.780370 + 0.625318i \(0.215031\pi\)
\(200\) −10.9063 9.00291i −0.771193 0.636602i
\(201\) 20.2814 1.43054
\(202\) 1.90265 + 0.0239405i 0.133870 + 0.00168445i
\(203\) −18.1233 + 4.85612i −1.27200 + 0.340833i
\(204\) −7.67618 + 4.17793i −0.537440 + 0.292513i
\(205\) −2.50168 + 0.500426i −0.174725 + 0.0349513i
\(206\) 0.0351106 0.124735i 0.00244627 0.00869072i
\(207\) 6.68003 + 1.78991i 0.464294 + 0.124407i
\(208\) 17.4357 15.7635i 1.20895 1.09300i
\(209\) 11.5738 5.50852i 0.800580 0.381033i
\(210\) 19.8080 + 23.1177i 1.36688 + 1.59527i
\(211\) −8.06190 + 4.65454i −0.555004 + 0.320432i −0.751138 0.660145i \(-0.770495\pi\)
0.196134 + 0.980577i \(0.437161\pi\)
\(212\) 12.6745 + 3.74036i 0.870489 + 0.256889i
\(213\) −5.78974 21.6076i −0.396706 1.48053i
\(214\) 1.55762 + 0.438439i 0.106476 + 0.0299711i
\(215\) −13.4146 8.94239i −0.914867 0.609866i
\(216\) 6.58033 6.10141i 0.447735 0.415149i
\(217\) −3.05703 3.05703i −0.207525 0.207525i
\(218\) 15.5753 + 9.25561i 1.05489 + 0.626869i
\(219\) −1.27795 + 2.21347i −0.0863555 + 0.149572i
\(220\) −10.0933 + 8.43035i −0.680489 + 0.568374i
\(221\) −12.0976 −0.813774
\(222\) 21.9061 + 13.0177i 1.47024 + 0.873689i
\(223\) 2.56127 9.55878i 0.171515 0.640103i −0.825604 0.564250i \(-0.809165\pi\)
0.997119 0.0758530i \(-0.0241680\pi\)
\(224\) −5.06931 25.1512i −0.338707 1.68048i
\(225\) 2.89519 + 6.94710i 0.193012 + 0.463140i
\(226\) 7.76051 + 2.18443i 0.516221 + 0.145306i
\(227\) 5.39936 5.39936i 0.358368 0.358368i −0.504843 0.863211i \(-0.668450\pi\)
0.863211 + 0.504843i \(0.168450\pi\)
\(228\) −6.62820 + 17.2762i −0.438963 + 1.14414i
\(229\) 19.4574i 1.28578i −0.765958 0.642891i \(-0.777735\pi\)
0.765958 0.642891i \(-0.222265\pi\)
\(230\) −13.1034 + 6.27558i −0.864014 + 0.413800i
\(231\) 24.5165 14.1546i 1.61307 0.931305i
\(232\) 9.90503 + 6.22853i 0.650297 + 0.408923i
\(233\) 16.8386 + 4.51188i 1.10313 + 0.295583i 0.764039 0.645170i \(-0.223213\pi\)
0.339092 + 0.940753i \(0.389880\pi\)
\(234\) −12.1226 + 3.08531i −0.792482 + 0.201693i
\(235\) −21.5192 1.38709i −1.40376 0.0904841i
\(236\) 1.63686 + 0.0411987i 0.106550 + 0.00268181i
\(237\) −20.2277 + 5.42000i −1.31393 + 0.352067i
\(238\) −6.74591 + 11.3520i −0.437273 + 0.735839i
\(239\) 4.67204 0.302209 0.151105 0.988518i \(-0.451717\pi\)
0.151105 + 0.988518i \(0.451717\pi\)
\(240\) 2.17273 18.8600i 0.140249 1.21741i
\(241\) 2.47058 4.27917i 0.159144 0.275646i −0.775416 0.631451i \(-0.782460\pi\)
0.934560 + 0.355805i \(0.115793\pi\)
\(242\) −1.62726 2.90222i −0.104604 0.186562i
\(243\) −13.8713 + 3.71680i −0.889844 + 0.238433i
\(244\) −7.68982 14.1286i −0.492290 0.904493i
\(245\) 28.7462 + 9.72339i 1.83653 + 0.621205i
\(246\) −2.39107 2.45201i −0.152449 0.156335i
\(247\) −19.4911 + 16.6187i −1.24019 + 1.05742i
\(248\) −0.101742 + 2.69415i −0.00646062 + 0.171078i
\(249\) 6.96079 4.01882i 0.441122 0.254682i
\(250\) −14.1149 7.12535i −0.892702 0.450647i
\(251\) −0.730305 0.421642i −0.0460965 0.0266138i 0.476775 0.879026i \(-0.341806\pi\)
−0.522871 + 0.852412i \(0.675139\pi\)
\(252\) −3.86472 + 13.0959i −0.243454 + 0.824964i
\(253\) 3.49673 + 13.0500i 0.219837 + 0.820444i
\(254\) −5.31872 + 5.18653i −0.333726 + 0.325432i
\(255\) −7.33930 + 6.45044i −0.459605 + 0.403942i
\(256\) −9.35189 + 12.9824i −0.584493 + 0.811399i
\(257\) 1.79844 0.481891i 0.112184 0.0300595i −0.202290 0.979326i \(-0.564839\pi\)
0.314474 + 0.949266i \(0.398172\pi\)
\(258\) 0.272300 21.6408i 0.0169526 1.34730i
\(259\) 38.5026 2.39243
\(260\) 15.1221 21.4927i 0.937833 1.33292i
\(261\) −3.11345 5.39265i −0.192718 0.333797i
\(262\) −4.72594 2.80839i −0.291969 0.173503i
\(263\) 7.42318 27.7037i 0.457733 1.70828i −0.222194 0.975002i \(-0.571322\pi\)
0.679927 0.733280i \(-0.262011\pi\)
\(264\) −16.8679 5.20945i −1.03815 0.320620i
\(265\) 14.7441 + 0.950382i 0.905723 + 0.0583815i
\(266\) 4.72571 + 27.5567i 0.289752 + 1.68961i
\(267\) 25.0842 25.0842i 1.53513 1.53513i
\(268\) −18.3289 5.40902i −1.11962 0.330408i
\(269\) −11.7283 + 6.77132i −0.715085 + 0.412855i −0.812941 0.582346i \(-0.802135\pi\)
0.0978557 + 0.995201i \(0.468802\pi\)
\(270\) 5.66958 8.27743i 0.345040 0.503748i
\(271\) 12.9823 7.49535i 0.788621 0.455310i −0.0508562 0.998706i \(-0.516195\pi\)
0.839477 + 0.543396i \(0.182862\pi\)
\(272\) 8.05143 1.72849i 0.488189 0.104805i
\(273\) −40.0016 + 40.0016i −2.42101 + 2.42101i
\(274\) 2.44450 + 2.50680i 0.147678 + 0.151441i
\(275\) −8.92546 + 11.6841i −0.538225 + 0.704576i
\(276\) −16.6399 10.1737i −1.00161 0.612386i
\(277\) 9.36044 + 9.36044i 0.562414 + 0.562414i 0.929993 0.367578i \(-0.119813\pi\)
−0.367578 + 0.929993i \(0.619813\pi\)
\(278\) −5.04447 0.0634732i −0.302547 0.00380687i
\(279\) 0.717404 1.24258i 0.0429498 0.0743913i
\(280\) −11.7356 26.1749i −0.701335 1.56425i
\(281\) 12.7242 22.0390i 0.759063 1.31474i −0.184266 0.982876i \(-0.558991\pi\)
0.943329 0.331859i \(-0.107676\pi\)
\(282\) −14.1573 25.2497i −0.843057 1.50360i
\(283\) −5.45833 + 20.3708i −0.324464 + 1.21092i 0.590385 + 0.807122i \(0.298976\pi\)
−0.914849 + 0.403795i \(0.867691\pi\)
\(284\) −0.530358 + 21.0715i −0.0314710 + 1.25036i
\(285\) −2.96365 + 20.4747i −0.175552 + 1.21282i
\(286\) −17.0612 17.4960i −1.00885 1.03456i
\(287\) −4.99851 1.33935i −0.295053 0.0790591i
\(288\) 7.62726 3.78546i 0.449440 0.223060i
\(289\) 11.0519 + 6.38084i 0.650114 + 0.375343i
\(290\) 12.3382 + 4.34716i 0.724527 + 0.255274i
\(291\) −12.5928 7.27047i −0.738205 0.426203i
\(292\) 1.74524 1.65955i 0.102133 0.0971176i
\(293\) −7.54946 + 7.54946i −0.441044 + 0.441044i −0.892363 0.451319i \(-0.850954\pi\)
0.451319 + 0.892363i \(0.350954\pi\)
\(294\) 10.0477 + 39.4788i 0.585993 + 2.30245i
\(295\) 1.79508 0.359080i 0.104513 0.0209064i
\(296\) −16.3253 17.6068i −0.948891 1.02337i
\(297\) −6.59709 6.59709i −0.382802 0.382802i
\(298\) −9.38582 5.57752i −0.543706 0.323097i
\(299\) −13.4989 23.3808i −0.780663 1.35215i
\(300\) −2.28572 21.1021i −0.131966 1.21833i
\(301\) −16.3506 28.3200i −0.942430 1.63234i
\(302\) −4.08801 + 2.29212i −0.235239 + 0.131897i
\(303\) 2.01940 + 2.01940i 0.116011 + 0.116011i
\(304\) 10.5976 13.8452i 0.607815 0.794079i
\(305\) −11.8726 13.5086i −0.679821 0.773500i
\(306\) −4.21855 1.18744i −0.241158 0.0678815i
\(307\) 9.18202 + 2.46032i 0.524046 + 0.140418i 0.511137 0.859499i \(-0.329224\pi\)
0.0129083 + 0.999917i \(0.495891\pi\)
\(308\) −25.9313 + 6.25342i −1.47757 + 0.356322i
\(309\) 0.168431 0.0972436i 0.00958170 0.00553200i
\(310\) 0.554018 + 2.96294i 0.0314661 + 0.168284i
\(311\) 4.60702i 0.261240i −0.991433 0.130620i \(-0.958303\pi\)
0.991433 0.130620i \(-0.0416968\pi\)
\(312\) 35.2531 + 1.33130i 1.99582 + 0.0753702i
\(313\) −4.96505 18.5298i −0.280641 1.04737i −0.951966 0.306203i \(-0.900941\pi\)
0.671325 0.741163i \(-0.265725\pi\)
\(314\) −11.8209 + 3.00853i −0.667094 + 0.169781i
\(315\) −0.981980 + 15.2343i −0.0553283 + 0.858356i
\(316\) 19.7259 + 0.496489i 1.10967 + 0.0279297i
\(317\) −20.5676 + 5.51107i −1.15519 + 0.309532i −0.785043 0.619441i \(-0.787359\pi\)
−0.370147 + 0.928973i \(0.620693\pi\)
\(318\) 9.70005 + 17.3001i 0.543952 + 0.970140i
\(319\) 6.08236 10.5350i 0.340547 0.589844i
\(320\) −6.99349 + 16.4648i −0.390948 + 0.920413i
\(321\) 1.21432 + 2.10326i 0.0677765 + 0.117392i
\(322\) −29.4671 0.370776i −1.64213 0.0206625i
\(323\) −8.82485 + 1.62793i −0.491028 + 0.0905805i
\(324\) 22.4928 + 0.566131i 1.24960 + 0.0314517i
\(325\) 11.1851 27.1691i 0.620438 1.50707i
\(326\) 0.309685 1.10020i 0.0171519 0.0609344i
\(327\) 7.03796 + 26.2660i 0.389200 + 1.45251i
\(328\) 1.50693 + 2.85365i 0.0832064 + 0.157566i
\(329\) −37.8793 21.8696i −2.08835 1.20571i
\(330\) −19.6794 1.51735i −1.08331 0.0835275i
\(331\) 4.35154i 0.239182i 0.992823 + 0.119591i \(0.0381584\pi\)
−0.992823 + 0.119591i \(0.961842\pi\)
\(332\) −7.36248 + 1.77549i −0.404069 + 0.0974425i
\(333\) 3.30723 + 12.3428i 0.181235 + 0.676379i
\(334\) −1.05419 + 1.02799i −0.0576825 + 0.0562489i
\(335\) −21.3218 1.37437i −1.16493 0.0750898i
\(336\) 20.9072 32.3379i 1.14058 1.76418i
\(337\) −6.53043 + 24.3719i −0.355735 + 1.32762i 0.523822 + 0.851828i \(0.324506\pi\)
−0.879557 + 0.475794i \(0.842161\pi\)
\(338\) 26.1760 + 15.5551i 1.42379 + 0.846086i
\(339\) 6.05009 + 10.4791i 0.328596 + 0.569144i
\(340\) 8.35306 3.87206i 0.453008 0.209992i
\(341\) 2.80301 0.151791
\(342\) −8.42792 + 3.88194i −0.455730 + 0.209911i
\(343\) 21.0746 + 21.0746i 1.13792 + 1.13792i
\(344\) −6.01764 + 19.4848i −0.324450 + 1.05055i
\(345\) −20.6561 6.98691i −1.11209 0.376163i
\(346\) −1.36137 5.34901i −0.0731876 0.287565i
\(347\) −31.0664 8.32423i −1.66773 0.446868i −0.703236 0.710957i \(-0.748262\pi\)
−0.964498 + 0.264089i \(0.914929\pi\)
\(348\) 4.11691 + 17.0717i 0.220690 + 0.915142i
\(349\) 34.5014i 1.84682i 0.383820 + 0.923408i \(0.374608\pi\)
−0.383820 + 0.923408i \(0.625392\pi\)
\(350\) −19.2575 25.6458i −1.02936 1.37083i
\(351\) 16.1459 + 9.32183i 0.861804 + 0.497563i
\(352\) 13.8546 + 9.20657i 0.738455 + 0.490712i
\(353\) −9.12741 + 9.12741i −0.485803 + 0.485803i −0.906979 0.421176i \(-0.861618\pi\)
0.421176 + 0.906979i \(0.361618\pi\)
\(354\) 1.71571 + 1.75944i 0.0911889 + 0.0935130i
\(355\) 4.62249 + 23.1083i 0.245336 + 1.22646i
\(356\) −29.3592 + 15.9794i −1.55603 + 0.846905i
\(357\) −19.1439 + 5.12959i −1.01320 + 0.271487i
\(358\) −7.94431 14.1687i −0.419870 0.748839i
\(359\) 14.4111 + 24.9608i 0.760590 + 1.31738i 0.942547 + 0.334074i \(0.108424\pi\)
−0.181957 + 0.983306i \(0.558243\pi\)
\(360\) 7.38282 6.01039i 0.389109 0.316776i
\(361\) −11.9819 + 14.7457i −0.630624 + 0.776089i
\(362\) 14.1773 + 0.178388i 0.745140 + 0.00937589i
\(363\) 1.29250 4.82369i 0.0678388 0.253178i
\(364\) 46.8189 25.4822i 2.45398 1.33563i
\(365\) 1.49349 2.24041i 0.0781731 0.117268i
\(366\) 6.54150 23.2396i 0.341930 1.21475i
\(367\) 0.934510 + 3.48764i 0.0487810 + 0.182053i 0.986018 0.166641i \(-0.0532920\pi\)
−0.937237 + 0.348694i \(0.886625\pi\)
\(368\) 12.3247 + 13.6321i 0.642468 + 0.710624i
\(369\) 1.71741i 0.0894050i
\(370\) −22.1476 15.1699i −1.15140 0.788646i
\(371\) 25.9534 + 14.9842i 1.34743 + 0.777941i
\(372\) −2.93236 + 2.78838i −0.152036 + 0.144571i
\(373\) 25.9617 25.9617i 1.34425 1.34425i 0.452463 0.891783i \(-0.350545\pi\)
0.891783 0.452463i \(-0.149455\pi\)
\(374\) −2.11166 8.29702i −0.109191 0.429029i
\(375\) −7.70085 22.4467i −0.397670 1.15914i
\(376\) 6.06035 + 26.5946i 0.312539 + 1.37151i
\(377\) −6.29162 + 23.4806i −0.324035 + 1.20931i
\(378\) 17.7506 9.95266i 0.912992 0.511910i
\(379\) −7.29537 −0.374738 −0.187369 0.982290i \(-0.559996\pi\)
−0.187369 + 0.982290i \(0.559996\pi\)
\(380\) 8.13892 17.7132i 0.417518 0.908669i
\(381\) −11.1499 −0.571226
\(382\) −4.14879 + 2.32620i −0.212270 + 0.119019i
\(383\) 2.53183 9.44892i 0.129371 0.482817i −0.870587 0.492014i \(-0.836261\pi\)
0.999958 + 0.00919680i \(0.00292747\pi\)
\(384\) −23.6525 + 4.15088i −1.20701 + 0.211824i
\(385\) −26.7333 + 13.2193i −1.36246 + 0.673720i
\(386\) −9.06319 35.6106i −0.461304 1.81253i
\(387\) 7.67407 7.67407i 0.390095 0.390095i
\(388\) 9.44148 + 9.92902i 0.479318 + 0.504070i
\(389\) 9.94602 + 5.74234i 0.504283 + 0.291148i 0.730481 0.682933i \(-0.239296\pi\)
−0.226197 + 0.974081i \(0.572629\pi\)
\(390\) 38.7704 7.24938i 1.96321 0.367087i
\(391\) 9.45852i 0.478338i
\(392\) 1.44855 38.3578i 0.0731627 1.93736i
\(393\) −2.13550 7.96978i −0.107721 0.402022i
\(394\) −3.15058 + 11.1929i −0.158724 + 0.563888i
\(395\) 21.6326 4.32729i 1.08845 0.217730i
\(396\) −4.23206 7.77563i −0.212669 0.390740i
\(397\) 6.74585 25.1759i 0.338564 1.26354i −0.561388 0.827553i \(-0.689733\pi\)
0.899953 0.435987i \(-0.143601\pi\)
\(398\) 6.03860 + 0.0759820i 0.302688 + 0.00380864i
\(399\) −23.7971 + 34.5628i −1.19134 + 1.73030i
\(400\) −3.56223 + 19.6802i −0.178112 + 0.984010i
\(401\) 12.8754 + 22.3009i 0.642968 + 1.11365i 0.984767 + 0.173880i \(0.0556305\pi\)
−0.341799 + 0.939773i \(0.611036\pi\)
\(402\) −14.0275 25.0180i −0.699626 1.24779i
\(403\) −5.41044 + 1.44972i −0.269513 + 0.0722158i
\(404\) −1.28642 2.36356i −0.0640017 0.117591i
\(405\) 24.6670 4.93429i 1.22571 0.245187i
\(406\) 18.5250 + 18.9972i 0.919383 + 0.942814i
\(407\) −17.6516 + 17.6516i −0.874958 + 0.874958i
\(408\) 10.4628 + 6.57928i 0.517987 + 0.325723i
\(409\) −9.20981 5.31728i −0.455396 0.262923i 0.254711 0.967017i \(-0.418020\pi\)
−0.710106 + 0.704095i \(0.751353\pi\)
\(410\) 2.34757 + 2.73982i 0.115938 + 0.135310i
\(411\) 5.25513i 0.259216i
\(412\) −0.178151 + 0.0429616i −0.00877685 + 0.00211657i
\(413\) 3.58667 + 0.961046i 0.176489 + 0.0472900i
\(414\) −2.41225 9.47809i −0.118556 0.465823i
\(415\) −7.59019 + 3.75327i −0.372588 + 0.184241i
\(416\) −31.5042 10.6051i −1.54462 0.519957i
\(417\) −5.35402 5.35402i −0.262187 0.262187i
\(418\) −14.8000 10.4669i −0.723890 0.511954i
\(419\) −29.4915 −1.44076 −0.720378 0.693581i \(-0.756032\pi\)
−0.720378 + 0.693581i \(0.756032\pi\)
\(420\) 14.8167 40.4232i 0.722981 1.97245i
\(421\) 10.5412 + 18.2579i 0.513748 + 0.889838i 0.999873 + 0.0159484i \(0.00507675\pi\)
−0.486125 + 0.873889i \(0.661590\pi\)
\(422\) 11.3175 + 6.72544i 0.550929 + 0.327389i
\(423\) 3.75704 14.0215i 0.182673 0.681747i
\(424\) −4.15231 18.2216i −0.201654 0.884917i
\(425\) 8.15290 6.28397i 0.395474 0.304818i
\(426\) −22.6495 + 22.0866i −1.09737 + 1.07010i
\(427\) −9.44143 35.2359i −0.456903 1.70518i
\(428\) −0.536477 2.22463i −0.0259316 0.107532i
\(429\) 36.6776i 1.77081i
\(430\) −1.75275 + 22.7324i −0.0845253 + 1.09625i
\(431\) 0.469568 + 0.271105i 0.0226183 + 0.0130587i 0.511267 0.859422i \(-0.329177\pi\)
−0.488648 + 0.872481i \(0.662510\pi\)
\(432\) −12.0776 3.89714i −0.581083 0.187501i
\(433\) 6.34010 + 23.6616i 0.304686 + 1.13710i 0.933216 + 0.359317i \(0.116990\pi\)
−0.628530 + 0.777785i \(0.716343\pi\)
\(434\) −1.65662 + 5.88536i −0.0795201 + 0.282506i
\(435\) 8.70289 + 17.5998i 0.417272 + 0.843844i
\(436\) 0.644698 25.6144i 0.0308755 1.22670i
\(437\) −12.9933 15.2391i −0.621555 0.728985i
\(438\) 3.61429 + 0.0454776i 0.172697 + 0.00217300i
\(439\) 4.20589 + 7.28481i 0.200736 + 0.347685i 0.948766 0.315980i \(-0.102333\pi\)
−0.748030 + 0.663665i \(0.769000\pi\)
\(440\) 17.3801 + 6.61973i 0.828565 + 0.315583i
\(441\) −10.2140 + 17.6912i −0.486382 + 0.842438i
\(442\) 8.36722 + 14.9230i 0.397988 + 0.709813i
\(443\) 23.6410 6.33459i 1.12322 0.300965i 0.351033 0.936363i \(-0.385831\pi\)
0.772185 + 0.635398i \(0.219164\pi\)
\(444\) 0.906745 36.0257i 0.0430322 1.70970i
\(445\) −28.0707 + 24.6711i −1.33068 + 1.16952i
\(446\) −13.5627 + 3.45181i −0.642210 + 0.163448i
\(447\) −4.24114 15.8282i −0.200599 0.748647i
\(448\) −27.5189 + 23.6488i −1.30015 + 1.11730i
\(449\) 3.55213i 0.167635i 0.996481 + 0.0838177i \(0.0267114\pi\)
−0.996481 + 0.0838177i \(0.973289\pi\)
\(450\) 6.56713 8.37624i 0.309577 0.394860i
\(451\) 2.90560 1.67755i 0.136820 0.0789928i
\(452\) −2.67289 11.0838i −0.125722 0.521337i
\(453\) −6.79455 1.82059i −0.319236 0.0855389i
\(454\) −10.3948 2.92593i −0.487851 0.137321i
\(455\) 44.7642 39.3428i 2.09858 1.84442i
\(456\) 25.8953 3.77274i 1.21266 0.176675i
\(457\) 14.5463 + 14.5463i 0.680448 + 0.680448i 0.960101 0.279653i \(-0.0902194\pi\)
−0.279653 + 0.960101i \(0.590219\pi\)
\(458\) −24.0016 + 13.4576i −1.12152 + 0.628830i
\(459\) 3.26584 + 5.65661i 0.152437 + 0.264028i
\(460\) 16.8041 + 11.8232i 0.783494 + 0.551260i
\(461\) 10.7370 + 18.5970i 0.500070 + 0.866147i 1.00000 8.13135e-5i \(2.58829e-5\pi\)
−0.499930 + 0.866066i \(0.666641\pi\)
\(462\) −34.4170 20.4523i −1.60122 0.951527i
\(463\) 25.3754 + 25.3754i 1.17929 + 1.17929i 0.979924 + 0.199370i \(0.0638894\pi\)
0.199370 + 0.979924i \(0.436111\pi\)
\(464\) 0.832437 16.5262i 0.0386449 0.767209i
\(465\) −2.50938 + 3.76434i −0.116370 + 0.174567i
\(466\) −6.08065 23.8917i −0.281681 1.10676i
\(467\) −8.00396 + 8.00396i −0.370379 + 0.370379i −0.867615 0.497236i \(-0.834348\pi\)
0.497236 + 0.867615i \(0.334348\pi\)
\(468\) 12.1904 + 12.8199i 0.563501 + 0.592600i
\(469\) −37.5318 21.6690i −1.73306 1.00058i
\(470\) 13.1725 + 27.5043i 0.607603 + 1.26868i
\(471\) −15.8546 9.15367i −0.730542 0.421779i
\(472\) −1.08130 2.04763i −0.0497707 0.0942498i
\(473\) 20.4793 + 5.48742i 0.941640 + 0.252312i
\(474\) 20.6761 + 21.2031i 0.949686 + 0.973890i
\(475\) 4.50315 21.3242i 0.206619 0.978422i
\(476\) 18.6689 + 0.469886i 0.855689 + 0.0215372i
\(477\) −2.57418 + 9.60695i −0.117863 + 0.439872i
\(478\) −3.23138 5.76317i −0.147800 0.263601i
\(479\) 10.8781 18.8414i 0.497031 0.860884i −0.502963 0.864308i \(-0.667757\pi\)
0.999994 + 0.00342440i \(0.00109002\pi\)
\(480\) −24.7674 + 10.3642i −1.13047 + 0.473058i
\(481\) 24.9421 43.2010i 1.13726 1.96980i
\(482\) −6.98731 0.0879194i −0.318263 0.00400462i
\(483\) −31.2752 31.2752i −1.42307 1.42307i
\(484\) −2.45454 + 4.01460i −0.111570 + 0.182482i
\(485\) 12.7461 + 8.49678i 0.578771 + 0.385819i
\(486\) 14.1788 + 14.5402i 0.643164 + 0.659555i
\(487\) 9.36276 9.36276i 0.424267 0.424267i −0.462403 0.886670i \(-0.653013\pi\)
0.886670 + 0.462403i \(0.153013\pi\)
\(488\) −12.1097 + 19.2577i −0.548181 + 0.871754i
\(489\) 1.48561 0.857715i 0.0671814 0.0387872i
\(490\) −7.88781 42.1848i −0.356335 1.90571i
\(491\) −10.9945 + 6.34770i −0.496177 + 0.286468i −0.727133 0.686496i \(-0.759148\pi\)
0.230957 + 0.972964i \(0.425814\pi\)
\(492\) −1.37090 + 4.64541i −0.0618050 + 0.209431i
\(493\) −6.02206 + 6.02206i −0.271220 + 0.271220i
\(494\) 33.9808 + 12.5490i 1.52887 + 0.564604i
\(495\) −6.53401 7.43439i −0.293682 0.334151i
\(496\) 3.39372 1.73788i 0.152382 0.0780331i
\(497\) −12.3717 + 46.1718i −0.554947 + 2.07109i
\(498\) −9.77176 5.80687i −0.437883 0.260212i
\(499\) 20.3439 + 35.2367i 0.910720 + 1.57741i 0.813050 + 0.582194i \(0.197806\pi\)
0.0976696 + 0.995219i \(0.468861\pi\)
\(500\) 0.972986 + 22.3395i 0.0435132 + 0.999053i
\(501\) −2.20994 −0.0987329
\(502\) −0.0150048 + 1.19249i −0.000669695 + 0.0532234i
\(503\) 32.8199 8.79405i 1.46337 0.392108i 0.562714 0.826651i \(-0.309757\pi\)
0.900651 + 0.434544i \(0.143090\pi\)
\(504\) 18.8274 4.29037i 0.838638 0.191108i
\(505\) −1.98614 2.25983i −0.0883822 0.100561i
\(506\) 13.6792 13.3393i 0.608116 0.593002i
\(507\) 11.8281 + 44.1430i 0.525304 + 1.96046i
\(508\) 10.0765 + 2.97365i 0.447071 + 0.131935i
\(509\) 29.6902 + 17.1417i 1.31600 + 0.759791i 0.983082 0.183165i \(-0.0586344\pi\)
0.332915 + 0.942957i \(0.391968\pi\)
\(510\) 13.0331 + 4.59197i 0.577114 + 0.203336i
\(511\) 4.72981 2.73075i 0.209234 0.120801i
\(512\) 22.4825 + 2.55682i 0.993595 + 0.112997i
\(513\) 13.0323 + 4.62731i 0.575392 + 0.204301i
\(514\) −1.83831 1.88516i −0.0810844 0.0831509i
\(515\) −0.183661 + 0.0908182i −0.00809305 + 0.00400193i
\(516\) −26.8832 + 14.6318i −1.18347 + 0.644127i
\(517\) 27.3920 7.33967i 1.20470 0.322798i
\(518\) −26.6300 47.4947i −1.17005 2.08680i
\(519\) 4.14206 7.17426i 0.181816 0.314915i
\(520\) −36.9713 3.78852i −1.62130 0.166138i
\(521\) −19.6819 −0.862281 −0.431141 0.902285i \(-0.641889\pi\)
−0.431141 + 0.902285i \(0.641889\pi\)
\(522\) −4.49868 + 7.57035i −0.196902 + 0.331345i
\(523\) −22.4668 + 6.01996i −0.982404 + 0.263234i −0.714057 0.700088i \(-0.753144\pi\)
−0.268347 + 0.963322i \(0.586477\pi\)
\(524\) −0.195618 + 7.77205i −0.00854561 + 0.339524i
\(525\) 6.17972 47.7365i 0.269705 2.08339i
\(526\) −39.3079 + 10.0042i −1.71391 + 0.436204i
\(527\) −1.89551 0.507901i −0.0825697 0.0221245i
\(528\) 5.24044 + 24.4104i 0.228061 + 1.06232i
\(529\) −1.63829 + 0.945867i −0.0712300 + 0.0411246i
\(530\) −9.02529 18.8448i −0.392034 0.818567i
\(531\) 1.23233i 0.0534785i
\(532\) 30.7239 24.8888i 1.33205 1.07906i
\(533\) −4.74084 + 4.74084i −0.205348 + 0.205348i
\(534\) −48.2917 13.5932i −2.08978 0.588235i
\(535\) −1.13408 2.29344i −0.0490305 0.0991539i
\(536\) 6.00476 + 26.3506i 0.259366 + 1.13817i
\(537\) 6.31002 23.5493i 0.272297 1.01623i
\(538\) 16.4645 + 9.78402i 0.709834 + 0.421819i
\(539\) −39.9077 −1.71895
\(540\) −14.1319 1.26867i −0.608140 0.0545949i
\(541\) −3.96082 + 6.86034i −0.170289 + 0.294949i −0.938521 0.345223i \(-0.887803\pi\)
0.768232 + 0.640172i \(0.221137\pi\)
\(542\) −18.2250 10.8302i −0.782830 0.465196i
\(543\) 15.0472 + 15.0472i 0.645738 + 0.645738i
\(544\) −7.70087 8.73630i −0.330172 0.374566i
\(545\) −5.61906 28.0903i −0.240694 1.20326i
\(546\) 77.0105 + 21.6770i 3.29574 + 0.927689i
\(547\) 6.01670 + 22.4546i 0.257255 + 0.960090i 0.966822 + 0.255452i \(0.0822242\pi\)
−0.709566 + 0.704639i \(0.751109\pi\)
\(548\) 1.40153 4.74921i 0.0598705 0.202876i
\(549\) 10.4846 6.05327i 0.447470 0.258347i
\(550\) 20.5860 + 2.92876i 0.877791 + 0.124883i
\(551\) −1.42985 + 17.9751i −0.0609135 + 0.765763i
\(552\) −1.04088 + 27.5627i −0.0443028 + 1.17314i
\(553\) 43.2232 + 11.5816i 1.83804 + 0.492501i
\(554\) 5.07245 18.0206i 0.215508 0.765621i
\(555\) −7.90301 39.5080i −0.335464 1.67702i
\(556\) 3.41067 + 6.26648i 0.144645 + 0.265758i
\(557\) 4.99090 1.33731i 0.211471 0.0566635i −0.151528 0.988453i \(-0.548419\pi\)
0.362999 + 0.931789i \(0.381753\pi\)
\(558\) −2.02896 0.0255299i −0.0858929 0.00108077i
\(559\) −42.3678 −1.79197
\(560\) −24.1711 + 32.5800i −1.02141 + 1.37676i
\(561\) 6.42488 11.1282i 0.271259 0.469834i
\(562\) −35.9867 0.452810i −1.51801 0.0191006i
\(563\) −7.46161 7.46161i −0.314469 0.314469i 0.532169 0.846638i \(-0.321377\pi\)
−0.846638 + 0.532169i \(0.821377\pi\)
\(564\) −21.3548 + 34.9274i −0.899198 + 1.47071i
\(565\) −5.65032 11.4266i −0.237711 0.480720i
\(566\) 28.9035 7.35617i 1.21490 0.309203i
\(567\) 49.2862 + 13.2062i 2.06982 + 0.554608i
\(568\) 26.3595 13.9197i 1.10602 0.584058i
\(569\) 15.9268i 0.667685i −0.942629 0.333842i \(-0.891655\pi\)
0.942629 0.333842i \(-0.108345\pi\)
\(570\) 27.3063 10.5054i 1.14374 0.440022i
\(571\) 24.9034i 1.04218i 0.853503 + 0.521088i \(0.174474\pi\)
−0.853503 + 0.521088i \(0.825526\pi\)
\(572\) −9.78186 + 33.1466i −0.409000 + 1.38593i
\(573\) −6.89556 1.84766i −0.288066 0.0771871i
\(574\) 1.80503 + 7.09223i 0.0753406 + 0.296024i
\(575\) 21.2422 + 8.74507i 0.885860 + 0.364695i
\(576\) −9.94486 6.79038i −0.414369 0.282933i
\(577\) −6.86524 6.86524i −0.285804 0.285804i 0.549615 0.835418i \(-0.314775\pi\)
−0.835418 + 0.549615i \(0.814775\pi\)
\(578\) 0.227072 18.0463i 0.00944493 0.750628i
\(579\) 27.5754 47.7620i 1.14600 1.98492i
\(580\) −3.17123 18.2265i −0.131678 0.756812i
\(581\) −17.1751 −0.712542
\(582\) −0.258731 + 20.5624i −0.0107247 + 0.852338i
\(583\) −18.7679 + 5.02885i −0.777288 + 0.208274i
\(584\) −3.25421 1.00502i −0.134660 0.0415882i
\(585\) 16.4572 + 10.9706i 0.680421 + 0.453580i
\(586\) 14.5341 + 4.09107i 0.600398 + 0.169001i
\(587\) 32.0320 + 8.58294i 1.32210 + 0.354256i 0.849765 0.527162i \(-0.176744\pi\)
0.472337 + 0.881418i \(0.343411\pi\)
\(588\) 41.7494 39.6994i 1.72172 1.63718i
\(589\) −3.75167 + 1.78559i −0.154585 + 0.0735739i
\(590\) −1.68449 1.96595i −0.0693494 0.0809371i
\(591\) −15.1138 + 8.72595i −0.621699 + 0.358938i
\(592\) −10.4274 + 32.3156i −0.428565 + 1.32816i
\(593\) −8.71802 32.5361i −0.358006 1.33610i −0.876659 0.481112i \(-0.840233\pi\)
0.518653 0.854985i \(-0.326434\pi\)
\(594\) −3.57498 + 12.7006i −0.146683 + 0.521113i
\(595\) 20.4735 4.09543i 0.839332 0.167896i
\(596\) −0.388502 + 15.4355i −0.0159137 + 0.632262i
\(597\) 6.40915 + 6.40915i 0.262309 + 0.262309i
\(598\) −19.5049 + 32.8227i −0.797614 + 1.34222i
\(599\) 9.11237 15.7831i 0.372321 0.644880i −0.617601 0.786492i \(-0.711895\pi\)
0.989922 + 0.141612i \(0.0452285\pi\)
\(600\) −24.4495 + 17.4147i −0.998148 + 0.710950i
\(601\) 0.933175 0.0380650 0.0190325 0.999819i \(-0.493941\pi\)
0.0190325 + 0.999819i \(0.493941\pi\)
\(602\) −23.6253 + 39.7564i −0.962893 + 1.62035i
\(603\) 3.72257 13.8928i 0.151595 0.565760i
\(604\) 5.65488 + 3.45742i 0.230094 + 0.140680i
\(605\) −1.68568 + 4.98354i −0.0685327 + 0.202610i
\(606\) 1.09432 3.88772i 0.0444537 0.157928i
\(607\) −13.3424 + 13.3424i −0.541551 + 0.541551i −0.923983 0.382433i \(-0.875086\pi\)
0.382433 + 0.923983i \(0.375086\pi\)
\(608\) −24.4085 3.49669i −0.989894 0.141810i
\(609\) 39.8247i 1.61378i
\(610\) −8.45189 + 23.9884i −0.342207 + 0.971263i
\(611\) −49.0766 + 28.3344i −1.98543 + 1.14629i
\(612\) 1.45296 + 6.02505i 0.0587325 + 0.243548i
\(613\) −6.81863 1.82705i −0.275402 0.0737937i 0.118475 0.992957i \(-0.462200\pi\)
−0.393876 + 0.919163i \(0.628866\pi\)
\(614\) −3.31576 13.0281i −0.133813 0.525771i
\(615\) −0.348330 + 5.40394i −0.0140460 + 0.217908i
\(616\) 25.6490 + 27.6623i 1.03343 + 1.11454i
\(617\) −15.8076 + 4.23562i −0.636388 + 0.170520i −0.562567 0.826752i \(-0.690186\pi\)
−0.0738214 + 0.997271i \(0.523519\pi\)
\(618\) −0.236448 0.140509i −0.00951134 0.00565211i
\(619\) 7.47512 0.300451 0.150225 0.988652i \(-0.452000\pi\)
0.150225 + 0.988652i \(0.452000\pi\)
\(620\) 3.27174 2.73270i 0.131396 0.109748i
\(621\) −7.28827 + 12.6237i −0.292468 + 0.506570i
\(622\) −5.68296 + 3.18641i −0.227866 + 0.127763i
\(623\) −73.2198 + 19.6192i −2.93349 + 0.786026i
\(624\) −22.7403 44.4071i −0.910341 1.77771i
\(625\) 6.57478 + 24.1200i 0.262991 + 0.964798i
\(626\) −19.4233 + 18.9406i −0.776311 + 0.757018i
\(627\) −4.93557 26.7552i −0.197108 1.06850i
\(628\) 11.8870 + 12.5008i 0.474343 + 0.498837i
\(629\) 15.1352 8.73830i 0.603479 0.348419i
\(630\) 19.4714 9.32536i 0.775758 0.371531i
\(631\) 0.0874003 + 0.0504606i 0.00347935 + 0.00200880i 0.501739 0.865019i \(-0.332694\pi\)
−0.498259 + 0.867028i \(0.666027\pi\)
\(632\) −13.0308 24.6761i −0.518337 0.981563i
\(633\) 5.11402 + 19.0858i 0.203264 + 0.758592i
\(634\) 21.0235 + 21.5593i 0.834951 + 0.856231i
\(635\) 11.7218 + 0.755571i 0.465167 + 0.0299839i
\(636\) 14.6315 23.9309i 0.580175 0.948922i
\(637\) 77.0309 20.6404i 3.05208 0.817801i
\(638\) −17.2022 0.216450i −0.681040 0.00856933i
\(639\) −15.8640 −0.627568
\(640\) 25.1471 2.76099i 0.994027 0.109138i
\(641\) 2.56705 + 4.44627i 0.101393 + 0.175617i 0.912259 0.409615i \(-0.134337\pi\)
−0.810866 + 0.585232i \(0.801004\pi\)
\(642\) 1.75459 2.95261i 0.0692482 0.116530i
\(643\) −2.39567 + 8.94077i −0.0944761 + 0.352589i −0.996939 0.0781770i \(-0.975090\pi\)
0.902463 + 0.430766i \(0.141757\pi\)
\(644\) 19.9233 + 36.6054i 0.785087 + 1.44245i
\(645\) −25.7034 + 22.5904i −1.01207 + 0.889498i
\(646\) 8.11176 + 9.75990i 0.319153 + 0.383998i
\(647\) 16.0738 16.0738i 0.631927 0.631927i −0.316624 0.948551i \(-0.602549\pi\)
0.948551 + 0.316624i \(0.102549\pi\)
\(648\) −14.8586 28.1375i −0.583702 1.10534i
\(649\) −2.08491 + 1.20372i −0.0818399 + 0.0472503i
\(650\) −41.2504 + 4.99397i −1.61797 + 0.195880i
\(651\) −7.94704 + 4.58822i −0.311469 + 0.179827i
\(652\) −1.57134 + 0.378933i −0.0615383 + 0.0148402i
\(653\) 15.4023 15.4023i 0.602737 0.602737i −0.338301 0.941038i \(-0.609852\pi\)
0.941038 + 0.338301i \(0.109852\pi\)
\(654\) 27.5325 26.8483i 1.07661 1.04985i
\(655\) 1.70497 + 8.52331i 0.0666186 + 0.333033i
\(656\) 2.47784 3.83257i 0.0967435 0.149637i
\(657\) 1.28167 + 1.28167i 0.0500027 + 0.0500027i
\(658\) −0.778263 + 61.8517i −0.0303398 + 2.41123i
\(659\) −1.25911 + 2.18084i −0.0490478 + 0.0849534i −0.889507 0.456922i \(-0.848952\pi\)
0.840459 + 0.541875i \(0.182285\pi\)
\(660\) 11.7393 + 25.3248i 0.456953 + 0.985768i
\(661\) −23.5065 + 40.7145i −0.914298 + 1.58361i −0.106371 + 0.994326i \(0.533923\pi\)
−0.807926 + 0.589283i \(0.799410\pi\)
\(662\) 5.36782 3.00971i 0.208626 0.116976i
\(663\) −6.64593 + 24.8029i −0.258106 + 0.963266i
\(664\) 7.28234 + 7.85395i 0.282610 + 0.304792i
\(665\) 27.3599 34.7232i 1.06097 1.34651i
\(666\) 12.9379 12.6164i 0.501334 0.488875i
\(667\) −18.3583 4.91910i −0.710838 0.190468i
\(668\) 1.99719 + 0.589387i 0.0772735 + 0.0228041i
\(669\) −18.1907 10.5024i −0.703292 0.406046i
\(670\) 13.0517 + 27.2519i 0.504230 + 1.05283i
\(671\) 20.4824 + 11.8255i 0.790715 + 0.456519i
\(672\) −54.3506 3.42373i −2.09662 0.132073i
\(673\) 8.42298 8.42298i 0.324682 0.324682i −0.525878 0.850560i \(-0.676263\pi\)
0.850560 + 0.525878i \(0.176263\pi\)
\(674\) 34.5805 8.80103i 1.33199 0.339003i
\(675\) −15.7233 + 2.10458i −0.605188 + 0.0810053i
\(676\) 1.08349 43.0479i 0.0416727 1.65569i
\(677\) 14.3728 + 14.3728i 0.552393 + 0.552393i 0.927131 0.374738i \(-0.122267\pi\)
−0.374738 + 0.927131i \(0.622267\pi\)
\(678\) 8.74190 14.7108i 0.335731 0.564965i
\(679\) 15.5358 + 26.9088i 0.596209 + 1.03266i
\(680\) −10.5537 7.62579i −0.404715 0.292436i
\(681\) −8.10377 14.0361i −0.310537 0.537866i
\(682\) −1.93868 3.45764i −0.0742358 0.132400i
\(683\) −30.1405 30.1405i −1.15330 1.15330i −0.985888 0.167408i \(-0.946460\pi\)
−0.167408 0.985888i \(-0.553540\pi\)
\(684\) 10.6176 + 7.71131i 0.405976 + 0.294849i
\(685\) 0.356114 5.52470i 0.0136064 0.211088i
\(686\) 11.4204 40.5725i 0.436033 1.54907i
\(687\) −39.8922 10.6891i −1.52198 0.407814i
\(688\) 28.1974 6.05344i 1.07501 0.230785i
\(689\) 33.6254 19.4136i 1.28103 0.739600i
\(690\) 5.66793 + 30.3126i 0.215774 + 1.15398i
\(691\) 19.1453i 0.728323i −0.931336 0.364162i \(-0.881356\pi\)
0.931336 0.364162i \(-0.118644\pi\)
\(692\) −5.65666 + 5.37891i −0.215034 + 0.204475i
\(693\) −5.19605 19.3919i −0.197382 0.736638i
\(694\) 11.2185 + 44.0792i 0.425850 + 1.67322i
\(695\) 5.26584 + 5.99147i 0.199745 + 0.227270i
\(696\) 18.2113 16.8859i 0.690299 0.640059i
\(697\) −2.26886 + 0.607939i −0.0859392 + 0.0230273i
\(698\) 42.5590 23.8626i 1.61088 0.903212i
\(699\) 18.5008 32.0444i 0.699765 1.21203i
\(700\) −18.3160 + 41.4927i −0.692281 + 1.56828i
\(701\) −12.5836 21.7955i −0.475276 0.823203i 0.524323 0.851520i \(-0.324319\pi\)
−0.999599 + 0.0283169i \(0.990985\pi\)
\(702\) 0.331731 26.3640i 0.0125204 0.995047i
\(703\) 12.3811 34.8702i 0.466963 1.31515i
\(704\) 1.77427 23.4580i 0.0668702 0.884105i
\(705\) −14.6656 + 43.3573i −0.552339 + 1.63293i
\(706\) 17.5720 + 4.94617i 0.661330 + 0.186152i
\(707\) −1.57944 5.89456i −0.0594011 0.221688i
\(708\) 0.983687 3.33330i 0.0369692 0.125273i
\(709\) −27.7579 16.0260i −1.04247 0.601870i −0.121937 0.992538i \(-0.538911\pi\)
−0.920532 + 0.390668i \(0.872244\pi\)
\(710\) 25.3081 21.6847i 0.949794 0.813814i
\(711\) 14.8509i 0.556951i
\(712\) 40.0173 + 25.1639i 1.49971 + 0.943055i
\(713\) −1.13346 4.23015i −0.0424486 0.158420i
\(714\) 19.5683 + 20.0670i 0.732324 + 0.750988i
\(715\) −2.48546 + 38.5591i −0.0929509 + 1.44203i
\(716\) −11.9831 + 19.5993i −0.447830 + 0.732461i
\(717\) 2.56662 9.57877i 0.0958523 0.357726i
\(718\) 20.8229 35.0407i 0.777105 1.30771i
\(719\) −21.6599 37.5161i −0.807779 1.39911i −0.914399 0.404815i \(-0.867336\pi\)
0.106619 0.994300i \(-0.465997\pi\)
\(720\) −12.5204 4.95000i −0.466606 0.184476i
\(721\) −0.415587 −0.0154773
\(722\) 26.4766 + 4.58142i 0.985357 + 0.170503i
\(723\) −7.41607 7.41607i −0.275807 0.275807i
\(724\) −9.58553 17.6117i −0.356243 0.654532i
\(725\) −7.95667 19.0923i −0.295503 0.709071i
\(726\) −6.84418 + 1.74190i −0.254011 + 0.0646480i
\(727\) −24.4019 6.53848i −0.905018 0.242499i −0.223848 0.974624i \(-0.571862\pi\)
−0.681170 + 0.732125i \(0.738529\pi\)
\(728\) −63.8154 40.1287i −2.36515 1.48727i
\(729\) 3.26868i 0.121062i
\(730\) −3.79661 0.292733i −0.140519 0.0108345i
\(731\) −12.8547 7.42164i −0.475447 0.274499i
\(732\) −33.1915 + 8.00423i −1.22679 + 0.295845i
\(733\) −11.0924 + 11.0924i −0.409708 + 0.409708i −0.881637 0.471929i \(-0.843558\pi\)
0.471929 + 0.881637i \(0.343558\pi\)
\(734\) 3.65581 3.56496i 0.134939 0.131585i
\(735\) 35.7272 53.5947i 1.31782 1.97687i
\(736\) 8.29159 24.6316i 0.305632 0.907932i
\(737\) 27.1407 7.27234i 0.999742 0.267880i
\(738\) −2.11851 + 1.18783i −0.0779833 + 0.0437248i
\(739\) −10.6491 18.4447i −0.391733 0.678501i 0.600946 0.799290i \(-0.294791\pi\)
−0.992678 + 0.120789i \(0.961457\pi\)
\(740\) −3.39454 + 37.8122i −0.124786 + 1.39000i
\(741\) 23.3646 + 49.0909i 0.858321 + 1.80340i
\(742\) 0.533235 42.3784i 0.0195757 1.55576i
\(743\) −12.3792 + 46.1999i −0.454150 + 1.69491i 0.236424 + 0.971650i \(0.424024\pi\)
−0.690575 + 0.723261i \(0.742642\pi\)
\(744\) 5.46773 + 1.68865i 0.200457 + 0.0619087i
\(745\) 3.38611 + 16.9275i 0.124057 + 0.620176i
\(746\) −49.9811 14.0687i −1.82994 0.515093i
\(747\) −1.47528 5.50580i −0.0539775 0.201447i
\(748\) −8.77423 + 8.34339i −0.320818 + 0.305065i
\(749\) 5.18958i 0.189623i
\(750\) −22.3627 + 25.0244i −0.816572 + 0.913761i
\(751\) −32.7569 18.9122i −1.19532 0.690117i −0.235810 0.971799i \(-0.575774\pi\)
−0.959508 + 0.281682i \(0.909108\pi\)
\(752\) 28.6140 25.8696i 1.04345 0.943368i
\(753\) −1.26566 + 1.26566i −0.0461233 + 0.0461233i
\(754\) 33.3160 8.47919i 1.21330 0.308794i
\(755\) 7.01971 + 2.37442i 0.255473 + 0.0864138i
\(756\) −24.5541 15.0125i −0.893024 0.545999i
\(757\) −8.35788 + 31.1920i −0.303772 + 1.13369i 0.630225 + 0.776413i \(0.282963\pi\)
−0.933997 + 0.357281i \(0.883704\pi\)
\(758\) 5.04578 + 8.99916i 0.183271 + 0.326864i
\(759\) 28.6764 1.04089
\(760\) −27.4793 + 2.21147i −0.996777 + 0.0802185i
\(761\) −30.5049 −1.10580 −0.552900 0.833248i \(-0.686479\pi\)
−0.552900 + 0.833248i \(0.686479\pi\)
\(762\) 7.71172 + 13.7539i 0.279366 + 0.498250i
\(763\) 15.0389 56.1260i 0.544446 2.03190i
\(764\) 5.73895 + 3.50882i 0.207628 + 0.126945i
\(765\) 3.07147 + 6.21140i 0.111049 + 0.224574i
\(766\) −13.4068 + 3.41214i −0.484407 + 0.123286i
\(767\) 3.40178 3.40178i 0.122831 0.122831i
\(768\) 21.4794 + 26.3055i 0.775070 + 0.949219i
\(769\) −2.08093