Properties

Label 380.2.v.c.7.15
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 7.15
Character \(\chi\) \(=\) 380.7
Dual form 380.2.v.c.163.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.910865 + 1.08182i) q^{2} +(0.680944 - 2.54132i) q^{3} +(-0.340649 - 1.97078i) q^{4} +(2.20047 - 0.397406i) q^{5} +(2.12899 + 3.05146i) q^{6} +(2.71258 - 2.71258i) q^{7} +(2.44230 + 1.42659i) q^{8} +(-3.39654 - 1.96099i) q^{9} +O(q^{10})\) \(q+(-0.910865 + 1.08182i) q^{2} +(0.680944 - 2.54132i) q^{3} +(-0.340649 - 1.97078i) q^{4} +(2.20047 - 0.397406i) q^{5} +(2.12899 + 3.05146i) q^{6} +(2.71258 - 2.71258i) q^{7} +(2.44230 + 1.42659i) q^{8} +(-3.39654 - 1.96099i) q^{9} +(-1.57441 + 2.74249i) q^{10} +0.429044i q^{11} +(-5.24033 - 0.476291i) q^{12} +(-0.415202 - 1.54955i) q^{13} +(0.463716 + 5.40530i) q^{14} +(0.488462 - 5.86271i) q^{15} +(-3.76792 + 1.34269i) q^{16} +(-2.00038 + 7.46552i) q^{17} +(5.21523 - 1.88823i) q^{18} +(-2.86579 + 3.28440i) q^{19} +(-1.53279 - 4.20126i) q^{20} +(-5.04641 - 8.74064i) q^{21} +(-0.464147 - 0.390802i) q^{22} +(0.123981 - 0.0332206i) q^{23} +(5.28850 - 5.23524i) q^{24} +(4.68414 - 1.74896i) q^{25} +(2.05452 + 0.962263i) q^{26} +(-1.71525 + 1.71525i) q^{27} +(-6.26992 - 4.42185i) q^{28} +(1.24363 + 0.718012i) q^{29} +(5.89744 + 5.86856i) q^{30} -4.89517i q^{31} +(1.97953 - 5.29920i) q^{32} +(1.09034 + 0.292155i) q^{33} +(-6.25424 - 8.96413i) q^{34} +(4.89095 - 7.04694i) q^{35} +(-2.70765 + 7.36183i) q^{36} +(1.34505 + 1.34505i) q^{37} +(-0.942766 - 6.09190i) q^{38} -4.22064 q^{39} +(5.94115 + 2.16859i) q^{40} +(-3.46719 - 6.00534i) q^{41} +(14.0524 + 2.50226i) q^{42} +(-1.46312 + 5.46045i) q^{43} +(0.845550 - 0.146154i) q^{44} +(-8.25330 - 2.96530i) q^{45} +(-0.0769914 + 0.164384i) q^{46} +(1.63278 + 6.09360i) q^{47} +(0.846452 + 10.4898i) q^{48} -7.71616i q^{49} +(-2.37457 + 6.66044i) q^{50} +(17.6101 + 10.1672i) q^{51} +(-2.91239 + 1.34612i) q^{52} +(2.89248 + 10.7949i) q^{53} +(-0.293221 - 3.41794i) q^{54} +(0.170505 + 0.944099i) q^{55} +(10.4947 - 2.75519i) q^{56} +(6.39526 + 9.51937i) q^{57} +(-1.90954 + 0.691370i) q^{58} +(-4.92837 - 8.53619i) q^{59} +(-11.7205 + 1.03448i) q^{60} +(-7.11866 + 12.3299i) q^{61} +(5.29567 + 4.45884i) q^{62} +(-14.5327 + 3.89403i) q^{63} +(3.92967 + 6.96833i) q^{64} +(-1.52944 - 3.24474i) q^{65} +(-1.30921 + 0.913431i) q^{66} +(-3.33633 - 12.4514i) q^{67} +(15.3943 + 1.39918i) q^{68} -0.337697i q^{69} +(3.16849 + 11.7099i) q^{70} +(2.22159 - 1.28264i) q^{71} +(-5.49784 - 9.63482i) q^{72} +(-0.812771 - 0.217781i) q^{73} +(-2.68025 + 0.229936i) q^{74} +(-1.25503 - 13.0948i) q^{75} +(7.44904 + 4.52900i) q^{76} +(1.16382 + 1.16382i) q^{77} +(3.84443 - 4.56595i) q^{78} +(-3.59275 - 6.22283i) q^{79} +(-7.75760 + 4.45193i) q^{80} +(-2.69198 - 4.66265i) q^{81} +(9.65482 + 1.71920i) q^{82} +(6.86699 + 6.86699i) q^{83} +(-15.5068 + 12.9228i) q^{84} +(-1.43493 + 17.2226i) q^{85} +(-4.57449 - 6.55656i) q^{86} +(2.67154 - 2.67154i) q^{87} +(-0.612071 + 1.04786i) q^{88} +(9.28600 + 5.36128i) q^{89} +(10.7256 - 6.22756i) q^{90} +(-5.32955 - 3.07702i) q^{91} +(-0.107704 - 0.233022i) q^{92} +(-12.4402 - 3.33334i) q^{93} +(-8.07939 - 3.78409i) q^{94} +(-5.00084 + 8.36610i) q^{95} +(-12.1190 - 8.63907i) q^{96} +(-0.483728 + 1.80530i) q^{97} +(8.34746 + 7.02838i) q^{98} +(0.841354 - 1.45727i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.910865 + 1.08182i −0.644079 + 0.764959i
\(3\) 0.680944 2.54132i 0.393143 1.46723i −0.431776 0.901981i \(-0.642113\pi\)
0.824919 0.565250i \(-0.191220\pi\)
\(4\) −0.340649 1.97078i −0.170325 0.985388i
\(5\) 2.20047 0.397406i 0.984080 0.177725i
\(6\) 2.12899 + 3.05146i 0.869156 + 1.24575i
\(7\) 2.71258 2.71258i 1.02526 1.02526i 0.0255854 0.999673i \(-0.491855\pi\)
0.999673 0.0255854i \(-0.00814497\pi\)
\(8\) 2.44230 + 1.42659i 0.863484 + 0.504376i
\(9\) −3.39654 1.96099i −1.13218 0.653665i
\(10\) −1.57441 + 2.74249i −0.497873 + 0.867250i
\(11\) 0.429044i 0.129362i 0.997906 + 0.0646809i \(0.0206029\pi\)
−0.997906 + 0.0646809i \(0.979397\pi\)
\(12\) −5.24033 0.476291i −1.51275 0.137493i
\(13\) −0.415202 1.54955i −0.115156 0.429769i 0.884142 0.467218i \(-0.154744\pi\)
−0.999299 + 0.0374488i \(0.988077\pi\)
\(14\) 0.463716 + 5.40530i 0.123933 + 1.44463i
\(15\) 0.488462 5.86271i 0.126120 1.51374i
\(16\) −3.76792 + 1.34269i −0.941979 + 0.335671i
\(17\) −2.00038 + 7.46552i −0.485163 + 1.81065i 0.0941600 + 0.995557i \(0.469983\pi\)
−0.579323 + 0.815098i \(0.696683\pi\)
\(18\) 5.21523 1.88823i 1.22924 0.445060i
\(19\) −2.86579 + 3.28440i −0.657457 + 0.753492i
\(20\) −1.53279 4.20126i −0.342741 0.939430i
\(21\) −5.04641 8.74064i −1.10122 1.90736i
\(22\) −0.464147 0.390802i −0.0989564 0.0833192i
\(23\) 0.123981 0.0332206i 0.0258518 0.00692697i −0.245870 0.969303i \(-0.579074\pi\)
0.271722 + 0.962376i \(0.412407\pi\)
\(24\) 5.28850 5.23524i 1.07951 1.06864i
\(25\) 4.68414 1.74896i 0.936827 0.349792i
\(26\) 2.05452 + 0.962263i 0.402925 + 0.188715i
\(27\) −1.71525 + 1.71525i −0.330099 + 0.330099i
\(28\) −6.26992 4.42185i −1.18490 0.835650i
\(29\) 1.24363 + 0.718012i 0.230937 + 0.133332i 0.611004 0.791627i \(-0.290766\pi\)
−0.380067 + 0.924959i \(0.624099\pi\)
\(30\) 5.89744 + 5.86856i 1.07672 + 1.07145i
\(31\) 4.89517i 0.879199i −0.898194 0.439599i \(-0.855120\pi\)
0.898194 0.439599i \(-0.144880\pi\)
\(32\) 1.97953 5.29920i 0.349934 0.936774i
\(33\) 1.09034 + 0.292155i 0.189804 + 0.0508577i
\(34\) −6.25424 8.96413i −1.07259 1.53733i
\(35\) 4.89095 7.04694i 0.826722 1.19115i
\(36\) −2.70765 + 7.36183i −0.451275 + 1.22697i
\(37\) 1.34505 + 1.34505i 0.221124 + 0.221124i 0.808972 0.587847i \(-0.200024\pi\)
−0.587847 + 0.808972i \(0.700024\pi\)
\(38\) −0.942766 6.09190i −0.152937 0.988236i
\(39\) −4.22064 −0.675843
\(40\) 5.94115 + 2.16859i 0.939378 + 0.342884i
\(41\) −3.46719 6.00534i −0.541484 0.937877i −0.998819 0.0485830i \(-0.984529\pi\)
0.457335 0.889294i \(-0.348804\pi\)
\(42\) 14.0524 + 2.50226i 2.16833 + 0.386107i
\(43\) −1.46312 + 5.46045i −0.223124 + 0.832711i 0.760023 + 0.649896i \(0.225188\pi\)
−0.983147 + 0.182815i \(0.941479\pi\)
\(44\) 0.845550 0.146154i 0.127472 0.0220335i
\(45\) −8.25330 2.96530i −1.23033 0.442041i
\(46\) −0.0769914 + 0.164384i −0.0113518 + 0.0242371i
\(47\) 1.63278 + 6.09360i 0.238165 + 0.888843i 0.976697 + 0.214625i \(0.0688528\pi\)
−0.738532 + 0.674219i \(0.764481\pi\)
\(48\) 0.846452 + 10.4898i 0.122175 + 1.51407i
\(49\) 7.71616i 1.10231i
\(50\) −2.37457 + 6.66044i −0.335814 + 0.941928i
\(51\) 17.6101 + 10.1672i 2.46591 + 1.42369i
\(52\) −2.91239 + 1.34612i −0.403875 + 0.186674i
\(53\) 2.89248 + 10.7949i 0.397313 + 1.48279i 0.817805 + 0.575495i \(0.195191\pi\)
−0.420493 + 0.907296i \(0.638143\pi\)
\(54\) −0.293221 3.41794i −0.0399024 0.465122i
\(55\) 0.170505 + 0.944099i 0.0229909 + 0.127302i
\(56\) 10.4947 2.75519i 1.40241 0.368178i
\(57\) 6.39526 + 9.51937i 0.847073 + 1.26087i
\(58\) −1.90954 + 0.691370i −0.250735 + 0.0907813i
\(59\) −4.92837 8.53619i −0.641619 1.11132i −0.985071 0.172147i \(-0.944930\pi\)
0.343452 0.939170i \(-0.388404\pi\)
\(60\) −11.7205 + 1.03448i −1.51311 + 0.133550i
\(61\) −7.11866 + 12.3299i −0.911451 + 1.57868i −0.0994355 + 0.995044i \(0.531704\pi\)
−0.812016 + 0.583636i \(0.801630\pi\)
\(62\) 5.29567 + 4.45884i 0.672551 + 0.566273i
\(63\) −14.5327 + 3.89403i −1.83095 + 0.490602i
\(64\) 3.92967 + 6.96833i 0.491209 + 0.871042i
\(65\) −1.52944 3.24474i −0.189704 0.402461i
\(66\) −1.30921 + 0.913431i −0.161153 + 0.112436i
\(67\) −3.33633 12.4514i −0.407598 1.52118i −0.799214 0.601047i \(-0.794750\pi\)
0.391616 0.920129i \(-0.371916\pi\)
\(68\) 15.3943 + 1.39918i 1.86683 + 0.169675i
\(69\) 0.337697i 0.0406539i
\(70\) 3.16849 + 11.7099i 0.378707 + 1.39960i
\(71\) 2.22159 1.28264i 0.263654 0.152221i −0.362346 0.932044i \(-0.618024\pi\)
0.626000 + 0.779823i \(0.284691\pi\)
\(72\) −5.49784 9.63482i −0.647927 1.13547i
\(73\) −0.812771 0.217781i −0.0951276 0.0254894i 0.210941 0.977499i \(-0.432347\pi\)
−0.306069 + 0.952009i \(0.599014\pi\)
\(74\) −2.68025 + 0.229936i −0.311573 + 0.0267295i
\(75\) −1.25503 13.0948i −0.144918 1.51206i
\(76\) 7.44904 + 4.52900i 0.854463 + 0.519512i
\(77\) 1.16382 + 1.16382i 0.132629 + 0.132629i
\(78\) 3.84443 4.56595i 0.435296 0.516992i
\(79\) −3.59275 6.22283i −0.404216 0.700123i 0.590013 0.807393i \(-0.299122\pi\)
−0.994230 + 0.107270i \(0.965789\pi\)
\(80\) −7.75760 + 4.45193i −0.867326 + 0.497741i
\(81\) −2.69198 4.66265i −0.299109 0.518073i
\(82\) 9.65482 + 1.71920i 1.06620 + 0.189854i
\(83\) 6.86699 + 6.86699i 0.753750 + 0.753750i 0.975177 0.221427i \(-0.0710715\pi\)
−0.221427 + 0.975177i \(0.571071\pi\)
\(84\) −15.5068 + 12.9228i −1.69193 + 1.41000i
\(85\) −1.43493 + 17.2226i −0.155640 + 1.86806i
\(86\) −4.57449 6.55656i −0.493280 0.707012i
\(87\) 2.67154 2.67154i 0.286420 0.286420i
\(88\) −0.612071 + 1.04786i −0.0652470 + 0.111702i
\(89\) 9.28600 + 5.36128i 0.984314 + 0.568294i 0.903570 0.428441i \(-0.140937\pi\)
0.0807443 + 0.996735i \(0.474270\pi\)
\(90\) 10.7256 6.22756i 1.13057 0.656442i
\(91\) −5.32955 3.07702i −0.558689 0.322559i
\(92\) −0.107704 0.233022i −0.0112290 0.0242942i
\(93\) −12.4402 3.33334i −1.28999 0.345651i
\(94\) −8.07939 3.78409i −0.833326 0.390299i
\(95\) −5.00084 + 8.36610i −0.513075 + 0.858344i
\(96\) −12.1190 8.63907i −1.23689 0.881721i
\(97\) −0.483728 + 1.80530i −0.0491152 + 0.183300i −0.986126 0.166001i \(-0.946914\pi\)
0.937010 + 0.349302i \(0.113581\pi\)
\(98\) 8.34746 + 7.02838i 0.843220 + 0.709973i
\(99\) 0.841354 1.45727i 0.0845592 0.146461i
\(100\) −5.04245 8.63560i −0.504245 0.863560i
\(101\) 6.31156 10.9319i 0.628024 1.08777i −0.359924 0.932982i \(-0.617197\pi\)
0.987948 0.154787i \(-0.0494692\pi\)
\(102\) −27.0395 + 9.78995i −2.67731 + 0.969349i
\(103\) 3.81154 + 3.81154i 0.375562 + 0.375562i 0.869498 0.493936i \(-0.164442\pi\)
−0.493936 + 0.869498i \(0.664442\pi\)
\(104\) 1.19653 4.37680i 0.117330 0.429181i
\(105\) −14.5781 17.2280i −1.42267 1.68129i
\(106\) −14.3127 6.70355i −1.39017 0.651107i
\(107\) −7.52982 + 7.52982i −0.727935 + 0.727935i −0.970208 0.242273i \(-0.922107\pi\)
0.242273 + 0.970208i \(0.422107\pi\)
\(108\) 3.96466 + 2.79607i 0.381500 + 0.269052i
\(109\) −14.5761 + 8.41551i −1.39614 + 0.806059i −0.993985 0.109514i \(-0.965070\pi\)
−0.402150 + 0.915574i \(0.631737\pi\)
\(110\) −1.17665 0.675493i −0.112189 0.0644057i
\(111\) 4.33410 2.50229i 0.411374 0.237507i
\(112\) −6.57863 + 13.8629i −0.621622 + 1.30992i
\(113\) 3.74242 3.74242i 0.352057 0.352057i −0.508817 0.860875i \(-0.669917\pi\)
0.860875 + 0.508817i \(0.169917\pi\)
\(114\) −16.1234 1.75237i −1.51010 0.164125i
\(115\) 0.259614 0.122372i 0.0242092 0.0114112i
\(116\) 0.991399 2.69551i 0.0920490 0.250272i
\(117\) −1.62842 + 6.07733i −0.150547 + 0.561850i
\(118\) 13.7237 + 2.44373i 1.26337 + 0.224964i
\(119\) 14.8246 + 25.6770i 1.35897 + 2.35381i
\(120\) 9.55667 13.6217i 0.872400 1.24348i
\(121\) 10.8159 0.983266
\(122\) −6.85452 18.9319i −0.620579 1.71402i
\(123\) −17.6225 + 4.72192i −1.58896 + 0.425762i
\(124\) −9.64729 + 1.66754i −0.866352 + 0.149749i
\(125\) 9.61226 5.71004i 0.859746 0.510721i
\(126\) 9.02474 19.2687i 0.803987 1.71659i
\(127\) 0.323751 + 1.20826i 0.0287283 + 0.107215i 0.978801 0.204812i \(-0.0656584\pi\)
−0.950073 + 0.312028i \(0.898992\pi\)
\(128\) −11.1179 2.09604i −0.982689 0.185265i
\(129\) 12.8804 + 7.43652i 1.13406 + 0.654749i
\(130\) 4.90333 + 1.30095i 0.430050 + 0.114101i
\(131\) −5.94474 + 3.43220i −0.519395 + 0.299873i −0.736687 0.676234i \(-0.763611\pi\)
0.217292 + 0.976107i \(0.430278\pi\)
\(132\) 0.204350 2.24834i 0.0177864 0.195693i
\(133\) 1.13551 + 16.6829i 0.0984615 + 1.44659i
\(134\) 16.5090 + 7.73222i 1.42616 + 0.667962i
\(135\) −3.09270 + 4.45599i −0.266177 + 0.383511i
\(136\) −15.5358 + 15.3793i −1.33218 + 1.31877i
\(137\) 12.4829 3.34479i 1.06649 0.285765i 0.317439 0.948279i \(-0.397177\pi\)
0.749049 + 0.662514i \(0.230511\pi\)
\(138\) 0.365325 + 0.307596i 0.0310986 + 0.0261843i
\(139\) −3.35856 + 5.81720i −0.284870 + 0.493409i −0.972578 0.232579i \(-0.925284\pi\)
0.687708 + 0.725987i \(0.258617\pi\)
\(140\) −15.5540 7.23844i −1.31456 0.611760i
\(141\) 16.5976 1.39777
\(142\) −0.635994 + 3.57166i −0.0533715 + 0.299727i
\(143\) 0.664827 0.178140i 0.0555956 0.0148968i
\(144\) 15.4309 + 2.82837i 1.28591 + 0.235698i
\(145\) 3.02192 + 1.08574i 0.250957 + 0.0901655i
\(146\) 0.975924 0.680898i 0.0807680 0.0563516i
\(147\) −19.6092 5.25427i −1.61734 0.433365i
\(148\) 2.19260 3.10898i 0.180230 0.255556i
\(149\) 2.36572 1.36585i 0.193808 0.111895i −0.399956 0.916534i \(-0.630975\pi\)
0.593764 + 0.804639i \(0.297641\pi\)
\(150\) 15.3094 + 10.5699i 1.25000 + 0.863030i
\(151\) 3.09252i 0.251665i 0.992051 + 0.125833i \(0.0401602\pi\)
−0.992051 + 0.125833i \(0.959840\pi\)
\(152\) −11.6846 + 3.93318i −0.947747 + 0.319023i
\(153\) 21.4342 21.4342i 1.73285 1.73285i
\(154\) −2.31911 + 0.198955i −0.186880 + 0.0160322i
\(155\) −1.94537 10.7717i −0.156256 0.865202i
\(156\) 1.43776 + 8.31794i 0.115113 + 0.665968i
\(157\) 5.24363 19.5695i 0.418487 1.56182i −0.359259 0.933238i \(-0.616971\pi\)
0.777746 0.628578i \(-0.216363\pi\)
\(158\) 10.0045 + 1.78147i 0.795913 + 0.141726i
\(159\) 29.4029 2.33180
\(160\) 2.24996 12.4474i 0.177875 0.984053i
\(161\) 0.246195 0.426421i 0.0194028 0.0336067i
\(162\) 7.49617 + 1.33482i 0.588954 + 0.104873i
\(163\) 2.17463 + 2.17463i 0.170330 + 0.170330i 0.787124 0.616794i \(-0.211569\pi\)
−0.616794 + 0.787124i \(0.711569\pi\)
\(164\) −10.6541 + 8.87876i −0.831945 + 0.693315i
\(165\) 2.51536 + 0.209572i 0.195821 + 0.0163152i
\(166\) −13.6837 + 1.17391i −1.06206 + 0.0911133i
\(167\) 1.34545 + 5.02130i 0.104114 + 0.388560i 0.998243 0.0592497i \(-0.0188708\pi\)
−0.894129 + 0.447810i \(0.852204\pi\)
\(168\) 0.144472 28.5464i 0.0111463 2.20241i
\(169\) 9.02961 5.21325i 0.694585 0.401019i
\(170\) −17.3247 17.2398i −1.32874 1.32223i
\(171\) 16.1745 5.53580i 1.23689 0.423333i
\(172\) 11.2597 + 1.02339i 0.858547 + 0.0780328i
\(173\) 10.7632 + 2.88398i 0.818309 + 0.219265i 0.643607 0.765356i \(-0.277437\pi\)
0.174702 + 0.984621i \(0.444104\pi\)
\(174\) 0.456701 + 5.32353i 0.0346224 + 0.403576i
\(175\) 7.96190 17.4503i 0.601863 1.31912i
\(176\) −0.576072 1.61660i −0.0434230 0.121856i
\(177\) −25.0491 + 6.71189i −1.88281 + 0.504497i
\(178\) −14.2582 + 5.16234i −1.06870 + 0.386934i
\(179\) −16.8544 −1.25975 −0.629877 0.776695i \(-0.716895\pi\)
−0.629877 + 0.776695i \(0.716895\pi\)
\(180\) −3.03247 + 17.2755i −0.226027 + 1.28764i
\(181\) −1.34962 + 2.33761i −0.100316 + 0.173753i −0.911815 0.410601i \(-0.865319\pi\)
0.811499 + 0.584354i \(0.198652\pi\)
\(182\) 8.18327 2.96284i 0.606584 0.219620i
\(183\) 26.4868 + 26.4868i 1.95796 + 1.95796i
\(184\) 0.350191 + 0.0957356i 0.0258164 + 0.00705772i
\(185\) 3.49427 + 2.42521i 0.256903 + 0.178305i
\(186\) 14.9374 10.4218i 1.09526 0.764161i
\(187\) −3.20304 0.858252i −0.234229 0.0627616i
\(188\) 11.4529 5.29362i 0.835290 0.386077i
\(189\) 9.30547i 0.676873i
\(190\) −4.49548 13.0304i −0.326137 0.945323i
\(191\) 5.62922i 0.407316i −0.979042 0.203658i \(-0.934717\pi\)
0.979042 0.203658i \(-0.0652831\pi\)
\(192\) 20.3847 5.24150i 1.47114 0.378273i
\(193\) 8.37190 + 2.24324i 0.602623 + 0.161472i 0.547216 0.836992i \(-0.315688\pi\)
0.0554069 + 0.998464i \(0.482354\pi\)
\(194\) −1.51239 2.16769i −0.108583 0.155631i
\(195\) −9.28739 + 1.67731i −0.665084 + 0.120114i
\(196\) −15.2068 + 2.62850i −1.08620 + 0.187750i
\(197\) −2.55774 2.55774i −0.182231 0.182231i 0.610096 0.792327i \(-0.291131\pi\)
−0.792327 + 0.610096i \(0.791131\pi\)
\(198\) 0.810134 + 2.23756i 0.0575737 + 0.159017i
\(199\) −0.408858 + 0.708163i −0.0289832 + 0.0502003i −0.880153 0.474690i \(-0.842560\pi\)
0.851170 + 0.524890i \(0.175894\pi\)
\(200\) 13.9351 + 2.41087i 0.985362 + 0.170474i
\(201\) −33.9147 −2.39216
\(202\) 6.07736 + 16.7855i 0.427602 + 1.18102i
\(203\) 5.32112 1.42579i 0.373469 0.100071i
\(204\) 14.0384 38.1691i 0.982886 2.67237i
\(205\) −10.0160 11.8367i −0.699548 0.826711i
\(206\) −7.59518 + 0.651583i −0.529181 + 0.0453980i
\(207\) −0.486252 0.130291i −0.0337969 0.00905584i
\(208\) 3.64501 + 5.28110i 0.252736 + 0.366179i
\(209\) −1.40915 1.22955i −0.0974731 0.0850497i
\(210\) 31.9162 0.0783425i 2.20243 0.00540615i
\(211\) −5.36513 + 3.09756i −0.369351 + 0.213245i −0.673175 0.739483i \(-0.735070\pi\)
0.303824 + 0.952728i \(0.401737\pi\)
\(212\) 20.2890 9.37769i 1.39345 0.644063i
\(213\) −1.74681 6.51917i −0.119689 0.446686i
\(214\) −1.28722 15.0045i −0.0879928 1.02569i
\(215\) −1.04954 + 12.5970i −0.0715782 + 0.859109i
\(216\) −6.63610 + 1.74219i −0.451529 + 0.118541i
\(217\) −13.2785 13.2785i −0.901406 0.901406i
\(218\) 4.17282 23.4340i 0.282619 1.58715i
\(219\) −1.10690 + 1.91721i −0.0747976 + 0.129553i
\(220\) 1.80253 0.657633i 0.121526 0.0443376i
\(221\) 12.3988 0.834033
\(222\) −1.24076 + 6.96794i −0.0832744 + 0.467658i
\(223\) −0.990364 + 3.69609i −0.0663197 + 0.247508i −0.991125 0.132932i \(-0.957561\pi\)
0.924806 + 0.380440i \(0.124228\pi\)
\(224\) −9.00486 19.7441i −0.601663 1.31921i
\(225\) −19.3396 3.24515i −1.28930 0.216343i
\(226\) 0.639767 + 7.45745i 0.0425567 + 0.496062i
\(227\) 12.0901 12.0901i 0.802449 0.802449i −0.181028 0.983478i \(-0.557943\pi\)
0.983478 + 0.181028i \(0.0579426\pi\)
\(228\) 16.5820 15.8464i 1.09817 1.04945i
\(229\) 16.6563i 1.10068i 0.834940 + 0.550341i \(0.185502\pi\)
−0.834940 + 0.550341i \(0.814498\pi\)
\(230\) −0.104090 + 0.392319i −0.00686350 + 0.0258687i
\(231\) 3.75012 2.16513i 0.246740 0.142455i
\(232\) 2.01302 + 3.52776i 0.132161 + 0.231609i
\(233\) 8.35834 + 2.23961i 0.547573 + 0.146722i 0.521991 0.852951i \(-0.325189\pi\)
0.0255822 + 0.999673i \(0.491856\pi\)
\(234\) −5.09128 7.29728i −0.332828 0.477038i
\(235\) 6.01451 + 12.7599i 0.392343 + 0.832365i
\(236\) −15.1441 + 12.6206i −0.985795 + 0.821528i
\(237\) −18.2607 + 4.89293i −1.18616 + 0.317830i
\(238\) −41.2810 7.35078i −2.67585 0.476480i
\(239\) −26.9405 −1.74264 −0.871318 0.490718i \(-0.836735\pi\)
−0.871318 + 0.490718i \(0.836735\pi\)
\(240\) 6.03129 + 22.7460i 0.389318 + 1.46825i
\(241\) −6.12914 + 10.6160i −0.394813 + 0.683836i −0.993077 0.117463i \(-0.962524\pi\)
0.598264 + 0.801299i \(0.295857\pi\)
\(242\) −9.85185 + 11.7008i −0.633301 + 0.752158i
\(243\) −20.7116 + 5.54965i −1.32865 + 0.356010i
\(244\) 26.7244 + 9.82912i 1.71085 + 0.629245i
\(245\) −3.06645 16.9792i −0.195908 1.08476i
\(246\) 10.9434 23.3653i 0.697728 1.48972i
\(247\) 6.27923 + 3.07700i 0.399538 + 0.195785i
\(248\) 6.98341 11.9555i 0.443447 0.759174i
\(249\) 22.1272 12.7752i 1.40226 0.809594i
\(250\) −2.57826 + 15.5998i −0.163064 + 0.986616i
\(251\) 7.22164 + 4.16942i 0.455826 + 0.263171i 0.710288 0.703912i \(-0.248565\pi\)
−0.254462 + 0.967083i \(0.581898\pi\)
\(252\) 12.6248 + 27.3143i 0.795290 + 1.72064i
\(253\) 0.0142531 + 0.0531933i 0.000896085 + 0.00334424i
\(254\) −1.60200 0.750320i −0.100519 0.0470792i
\(255\) 42.7911 + 15.3743i 2.67968 + 0.962774i
\(256\) 12.3944 10.1183i 0.774649 0.632391i
\(257\) −4.51536 + 1.20989i −0.281660 + 0.0754707i −0.396884 0.917869i \(-0.629908\pi\)
0.115223 + 0.993340i \(0.463242\pi\)
\(258\) −19.7773 + 7.16058i −1.23128 + 0.445798i
\(259\) 7.29709 0.453419
\(260\) −5.87366 + 4.11950i −0.364269 + 0.255481i
\(261\) −2.81604 4.87752i −0.174308 0.301911i
\(262\) 1.70185 9.55739i 0.105141 0.590457i
\(263\) −1.51343 + 5.64818i −0.0933219 + 0.348282i −0.996760 0.0804372i \(-0.974368\pi\)
0.903438 + 0.428719i \(0.141035\pi\)
\(264\) 2.24615 + 2.26900i 0.138241 + 0.139647i
\(265\) 10.6548 + 22.6043i 0.654517 + 1.38857i
\(266\) −19.0821 13.9674i −1.17000 0.856397i
\(267\) 19.9480 19.9480i 1.22080 1.22080i
\(268\) −23.4023 + 10.8167i −1.42952 + 0.660736i
\(269\) −24.1817 + 13.9613i −1.47438 + 0.851235i −0.999583 0.0288599i \(-0.990812\pi\)
−0.474798 + 0.880095i \(0.657479\pi\)
\(270\) −2.00353 7.40454i −0.121931 0.450626i
\(271\) 4.13647 2.38819i 0.251273 0.145072i −0.369074 0.929400i \(-0.620325\pi\)
0.620347 + 0.784328i \(0.286992\pi\)
\(272\) −2.48658 30.8153i −0.150771 1.86845i
\(273\) −11.4488 + 11.4488i −0.692914 + 0.692914i
\(274\) −7.75182 + 16.5509i −0.468304 + 0.999875i
\(275\) 0.750381 + 2.00970i 0.0452497 + 0.121190i
\(276\) −0.665524 + 0.115036i −0.0400599 + 0.00692435i
\(277\) −9.56042 9.56042i −0.574430 0.574430i 0.358933 0.933363i \(-0.383141\pi\)
−0.933363 + 0.358933i \(0.883141\pi\)
\(278\) −3.23394 8.93203i −0.193959 0.535708i
\(279\) −9.59940 + 16.6267i −0.574701 + 0.995412i
\(280\) 21.9983 10.2334i 1.31465 0.611560i
\(281\) 13.5857 23.5312i 0.810458 1.40375i −0.102087 0.994776i \(-0.532552\pi\)
0.912544 0.408978i \(-0.134115\pi\)
\(282\) −15.1182 + 17.9556i −0.900275 + 1.06924i
\(283\) 6.18560 23.0850i 0.367696 1.37226i −0.496034 0.868303i \(-0.665211\pi\)
0.863729 0.503956i \(-0.168123\pi\)
\(284\) −3.28457 3.94133i −0.194903 0.233875i
\(285\) 17.8556 + 18.4056i 1.05768 + 1.09025i
\(286\) −0.412854 + 0.881482i −0.0244125 + 0.0521231i
\(287\) −25.6950 6.88495i −1.51673 0.406406i
\(288\) −17.1152 + 14.1171i −1.00853 + 0.831858i
\(289\) −37.0101 21.3678i −2.17706 1.25693i
\(290\) −3.92713 + 2.28020i −0.230609 + 0.133898i
\(291\) 4.25845 + 2.45862i 0.249635 + 0.144127i
\(292\) −0.152329 + 1.67598i −0.00891435 + 0.0980791i
\(293\) 1.17257 1.17257i 0.0685020 0.0685020i −0.672026 0.740528i \(-0.734576\pi\)
0.740528 + 0.672026i \(0.234576\pi\)
\(294\) 23.5455 16.4276i 1.37320 0.958078i
\(295\) −14.2371 16.8251i −0.828914 0.979593i
\(296\) 1.36618 + 5.20384i 0.0794074 + 0.302467i
\(297\) −0.735916 0.735916i −0.0427022 0.0427022i
\(298\) −0.677257 + 3.80338i −0.0392324 + 0.220324i
\(299\) −0.102954 0.178322i −0.00595400 0.0103126i
\(300\) −25.3795 + 6.93412i −1.46528 + 0.400342i
\(301\) 10.8431 + 18.7807i 0.624983 + 1.08250i
\(302\) −3.34553 2.81686i −0.192514 0.162092i
\(303\) −23.4837 23.4837i −1.34911 1.34911i
\(304\) 6.38813 16.2232i 0.366384 0.930464i
\(305\) −10.7644 + 29.9605i −0.616370 + 1.71554i
\(306\) 3.66418 + 42.7116i 0.209467 + 2.44166i
\(307\) −20.2199 5.41791i −1.15401 0.309216i −0.369440 0.929255i \(-0.620450\pi\)
−0.784572 + 0.620038i \(0.787117\pi\)
\(308\) 1.89717 2.69007i 0.108101 0.153281i
\(309\) 12.2818 7.09089i 0.698687 0.403387i
\(310\) 13.4249 + 7.70702i 0.762485 + 0.437729i
\(311\) 33.4175i 1.89493i 0.319852 + 0.947467i \(0.396367\pi\)
−0.319852 + 0.947467i \(0.603633\pi\)
\(312\) −10.3081 6.02113i −0.583580 0.340879i
\(313\) −1.36795 5.10525i −0.0773210 0.288566i 0.916429 0.400198i \(-0.131059\pi\)
−0.993750 + 0.111632i \(0.964392\pi\)
\(314\) 16.3943 + 23.4978i 0.925186 + 1.32606i
\(315\) −30.4313 + 14.3441i −1.71461 + 0.808199i
\(316\) −11.0399 + 9.20032i −0.621045 + 0.517558i
\(317\) −15.3906 + 4.12390i −0.864423 + 0.231621i −0.663674 0.748022i \(-0.731004\pi\)
−0.200748 + 0.979643i \(0.564337\pi\)
\(318\) −26.7820 + 31.8085i −1.50186 + 1.78373i
\(319\) −0.308059 + 0.533574i −0.0172480 + 0.0298744i
\(320\) 11.4164 + 13.7719i 0.638195 + 0.769875i
\(321\) 14.0083 + 24.2631i 0.781867 + 1.35423i
\(322\) 0.237059 + 0.654750i 0.0132108 + 0.0364878i
\(323\) −18.7871 27.9646i −1.04534 1.55599i
\(324\) −8.27203 + 6.89363i −0.459557 + 0.382979i
\(325\) −4.65497 6.53215i −0.258211 0.362339i
\(326\) −4.33335 + 0.371754i −0.240002 + 0.0205895i
\(327\) 11.4610 + 42.7730i 0.633794 + 2.36535i
\(328\) 0.0992611 19.6131i 0.00548078 1.08295i
\(329\) 20.9584 + 12.1003i 1.15547 + 0.667113i
\(330\) −2.51787 + 2.53027i −0.138604 + 0.139287i
\(331\) 31.6398i 1.73908i −0.493863 0.869540i \(-0.664416\pi\)
0.493863 0.869540i \(-0.335584\pi\)
\(332\) 11.1941 15.8725i 0.614354 0.871118i
\(333\) −1.93088 7.20614i −0.105812 0.394894i
\(334\) −6.65765 3.11820i −0.364290 0.170620i
\(335\) −12.2897 26.0730i −0.671461 1.42452i
\(336\) 30.7504 + 26.1583i 1.67757 + 1.42705i
\(337\) 2.16869 8.09365i 0.118136 0.440889i −0.881366 0.472433i \(-0.843376\pi\)
0.999502 + 0.0315441i \(0.0100425\pi\)
\(338\) −2.58499 + 14.5169i −0.140605 + 0.789617i
\(339\) −6.96231 12.0591i −0.378141 0.654959i
\(340\) 34.4307 3.03893i 1.86727 0.164809i
\(341\) 2.10025 0.113735
\(342\) −8.74403 + 22.5401i −0.472823 + 1.21883i
\(343\) −1.94263 1.94263i −0.104892 0.104892i
\(344\) −11.3632 + 11.2488i −0.612664 + 0.606494i
\(345\) −0.134203 0.743091i −0.00722523 0.0400067i
\(346\) −12.9237 + 9.01685i −0.694785 + 0.484749i
\(347\) −4.55010 1.21920i −0.244262 0.0654498i 0.134611 0.990899i \(-0.457022\pi\)
−0.378873 + 0.925449i \(0.623688\pi\)
\(348\) −6.17507 4.35495i −0.331019 0.233450i
\(349\) 21.5286i 1.15240i −0.817308 0.576201i \(-0.804535\pi\)
0.817308 0.576201i \(-0.195465\pi\)
\(350\) 11.6258 + 24.5082i 0.621423 + 1.31002i
\(351\) 3.37004 + 1.94569i 0.179879 + 0.103853i
\(352\) 2.27359 + 0.849304i 0.121183 + 0.0452681i
\(353\) −14.0584 + 14.0584i −0.748255 + 0.748255i −0.974151 0.225897i \(-0.927469\pi\)
0.225897 + 0.974151i \(0.427469\pi\)
\(354\) 15.5553 33.2122i 0.826757 1.76521i
\(355\) 4.37882 3.70528i 0.232403 0.196656i
\(356\) 7.40261 20.1269i 0.392337 1.06673i
\(357\) 75.3482 20.1895i 3.98785 1.06854i
\(358\) 15.3520 18.2333i 0.811381 0.963660i
\(359\) 13.0095 + 22.5332i 0.686618 + 1.18926i 0.972925 + 0.231119i \(0.0742387\pi\)
−0.286308 + 0.958138i \(0.592428\pi\)
\(360\) −15.9268 19.0163i −0.839414 1.00224i
\(361\) −2.57453 18.8248i −0.135502 0.990777i
\(362\) −1.29954 3.58928i −0.0683023 0.188649i
\(363\) 7.36504 27.4867i 0.386564 1.44268i
\(364\) −4.24861 + 11.5515i −0.222687 + 0.605465i
\(365\) −1.87503 0.156221i −0.0981433 0.00817699i
\(366\) −52.7796 + 4.52791i −2.75884 + 0.236678i
\(367\) −6.41191 23.9296i −0.334699 1.24911i −0.904195 0.427119i \(-0.859528\pi\)
0.569496 0.821994i \(-0.307138\pi\)
\(368\) −0.422545 + 0.291640i −0.0220267 + 0.0152028i
\(369\) 27.1965i 1.41580i
\(370\) −5.80643 + 1.57111i −0.301862 + 0.0816783i
\(371\) 37.1280 + 21.4359i 1.92759 + 1.11290i
\(372\) −2.33153 + 25.6523i −0.120884 + 1.33001i
\(373\) 5.76433 5.76433i 0.298466 0.298466i −0.541947 0.840413i \(-0.682313\pi\)
0.840413 + 0.541947i \(0.182313\pi\)
\(374\) 3.84601 2.68335i 0.198872 0.138753i
\(375\) −7.96562 28.3160i −0.411343 1.46223i
\(376\) −4.70536 + 17.2117i −0.242660 + 0.887627i
\(377\) 0.596240 2.22520i 0.0307079 0.114603i
\(378\) −10.0668 8.47603i −0.517780 0.435960i
\(379\) 14.8163 0.761061 0.380531 0.924768i \(-0.375741\pi\)
0.380531 + 0.924768i \(0.375741\pi\)
\(380\) 18.1912 + 7.00563i 0.933191 + 0.359381i
\(381\) 3.29102 0.168604
\(382\) 6.08978 + 5.12746i 0.311580 + 0.262344i
\(383\) −3.56560 + 13.3070i −0.182194 + 0.679956i 0.813020 + 0.582235i \(0.197822\pi\)
−0.995214 + 0.0977205i \(0.968845\pi\)
\(384\) −12.8973 + 26.8267i −0.658164 + 1.36900i
\(385\) 3.02345 + 2.09844i 0.154089 + 0.106946i
\(386\) −10.0524 + 7.01356i −0.511656 + 0.356981i
\(387\) 15.6775 15.6775i 0.796930 0.796930i
\(388\) 3.72262 + 0.338347i 0.188987 + 0.0171770i
\(389\) −8.54955 4.93609i −0.433479 0.250269i 0.267348 0.963600i \(-0.413853\pi\)
−0.700828 + 0.713330i \(0.747186\pi\)
\(390\) 6.64502 11.5750i 0.336484 0.586125i
\(391\) 0.992036i 0.0501694i
\(392\) 11.0078 18.8452i 0.555978 0.951825i
\(393\) 4.67427 + 17.4446i 0.235786 + 0.879965i
\(394\) 5.09675 0.437246i 0.256771 0.0220281i
\(395\) −10.3787 12.2654i −0.522211 0.617138i
\(396\) −3.15855 1.16170i −0.158723 0.0583778i
\(397\) 0.206877 0.772076i 0.0103829 0.0387494i −0.960540 0.278142i \(-0.910282\pi\)
0.970923 + 0.239392i \(0.0769482\pi\)
\(398\) −0.393687 1.08735i −0.0197337 0.0545039i
\(399\) 43.1697 + 8.47439i 2.16119 + 0.424250i
\(400\) −15.3011 + 12.8793i −0.765057 + 0.643963i
\(401\) −13.2355 22.9246i −0.660950 1.14480i −0.980366 0.197184i \(-0.936820\pi\)
0.319416 0.947614i \(-0.396513\pi\)
\(402\) 30.8918 36.6895i 1.54074 1.82991i
\(403\) −7.58533 + 2.03248i −0.377852 + 0.101245i
\(404\) −23.6944 8.71472i −1.17884 0.433573i
\(405\) −7.77660 9.19022i −0.386422 0.456666i
\(406\) −3.30438 + 7.05517i −0.163994 + 0.350142i
\(407\) −0.577085 + 0.577085i −0.0286050 + 0.0286050i
\(408\) 28.5048 + 49.9539i 1.41120 + 2.47308i
\(409\) 23.6219 + 13.6381i 1.16803 + 0.674360i 0.953214 0.302296i \(-0.0977530\pi\)
0.214811 + 0.976656i \(0.431086\pi\)
\(410\) 21.9284 0.0538260i 1.08296 0.00265828i
\(411\) 34.0007i 1.67713i
\(412\) 6.21330 8.81009i 0.306107 0.434042i
\(413\) −36.5237 9.78648i −1.79721 0.481561i
\(414\) 0.583861 0.407358i 0.0286952 0.0200205i
\(415\) 17.8396 + 12.3816i 0.875711 + 0.607790i
\(416\) −9.03329 0.867147i −0.442894 0.0425154i
\(417\) 12.4964 + 12.4964i 0.611950 + 0.611950i
\(418\) 2.61369 0.404488i 0.127840 0.0197842i
\(419\) −16.4531 −0.803785 −0.401892 0.915687i \(-0.631647\pi\)
−0.401892 + 0.915687i \(0.631647\pi\)
\(420\) −28.9866 + 34.5988i −1.41440 + 1.68825i
\(421\) 3.06289 + 5.30508i 0.149276 + 0.258554i 0.930960 0.365121i \(-0.118972\pi\)
−0.781684 + 0.623675i \(0.785639\pi\)
\(422\) 1.53592 8.62554i 0.0747676 0.419885i
\(423\) 6.40373 23.8990i 0.311360 1.16201i
\(424\) −8.33558 + 30.4907i −0.404812 + 1.48076i
\(425\) 3.68684 + 38.4681i 0.178838 + 1.86598i
\(426\) 8.64365 + 4.04837i 0.418786 + 0.196144i
\(427\) 14.1358 + 52.7557i 0.684081 + 2.55303i
\(428\) 17.4046 + 12.2746i 0.841284 + 0.593314i
\(429\) 1.81084i 0.0874283i
\(430\) −12.6716 12.6096i −0.611081 0.608088i
\(431\) 4.98174 + 2.87621i 0.239962 + 0.138542i 0.615159 0.788403i \(-0.289092\pi\)
−0.375197 + 0.926945i \(0.622425\pi\)
\(432\) 4.15986 8.76594i 0.200142 0.421751i
\(433\) 1.89741 + 7.08122i 0.0911835 + 0.340302i 0.996413 0.0846210i \(-0.0269680\pi\)
−0.905230 + 0.424923i \(0.860301\pi\)
\(434\) 26.4599 2.26997i 1.27011 0.108962i
\(435\) 4.81696 6.94034i 0.230956 0.332764i
\(436\) 21.5504 + 25.8595i 1.03208 + 1.23844i
\(437\) −0.246193 + 0.502406i −0.0117770 + 0.0240333i
\(438\) −1.06583 2.94379i −0.0509274 0.140660i
\(439\) −4.13212 7.15704i −0.197215 0.341587i 0.750409 0.660974i \(-0.229857\pi\)
−0.947625 + 0.319387i \(0.896523\pi\)
\(440\) −0.930421 + 2.54902i −0.0443561 + 0.121520i
\(441\) −15.1313 + 26.2083i −0.720540 + 1.24801i
\(442\) −11.2936 + 13.4132i −0.537183 + 0.638001i
\(443\) −24.8082 + 6.64734i −1.17867 + 0.315825i −0.794401 0.607394i \(-0.792215\pi\)
−0.384274 + 0.923219i \(0.625548\pi\)
\(444\) −6.40786 7.68913i −0.304104 0.364910i
\(445\) 22.5642 + 8.10701i 1.06964 + 0.384309i
\(446\) −3.09640 4.43803i −0.146619 0.210147i
\(447\) −1.86014 6.94213i −0.0879815 0.328351i
\(448\) 29.5617 + 8.24261i 1.39666 + 0.389427i
\(449\) 18.3137i 0.864279i −0.901807 0.432140i \(-0.857759\pi\)
0.901807 0.432140i \(-0.142241\pi\)
\(450\) 21.1264 17.9659i 0.995908 0.846923i
\(451\) 2.57656 1.48758i 0.121325 0.0700473i
\(452\) −8.65033 6.10062i −0.406877 0.286949i
\(453\) 7.85907 + 2.10583i 0.369251 + 0.0989406i
\(454\) 2.06681 + 24.0917i 0.0970001 + 1.13068i
\(455\) −12.9503 4.65289i −0.607121 0.218131i
\(456\) 2.03889 + 32.3726i 0.0954799 + 1.51599i
\(457\) −4.30927 4.30927i −0.201579 0.201579i 0.599097 0.800676i \(-0.295526\pi\)
−0.800676 + 0.599097i \(0.795526\pi\)
\(458\) −18.0191 15.1717i −0.841977 0.708926i
\(459\) −9.37406 16.2363i −0.437543 0.757848i
\(460\) −0.329605 0.469956i −0.0153679 0.0219118i
\(461\) 7.18522 + 12.4452i 0.334649 + 0.579629i 0.983417 0.181357i \(-0.0580489\pi\)
−0.648768 + 0.760986i \(0.724716\pi\)
\(462\) −1.07358 + 6.02909i −0.0499475 + 0.280498i
\(463\) −0.934235 0.934235i −0.0434176 0.0434176i 0.685065 0.728482i \(-0.259774\pi\)
−0.728482 + 0.685065i \(0.759774\pi\)
\(464\) −5.64997 1.03560i −0.262293 0.0480765i
\(465\) −28.6990 2.39111i −1.33088 0.110885i
\(466\) −10.0362 + 7.00220i −0.464917 + 0.324371i
\(467\) −10.6362 + 10.6362i −0.492185 + 0.492185i −0.908994 0.416809i \(-0.863148\pi\)
0.416809 + 0.908994i \(0.363148\pi\)
\(468\) 12.5318 + 1.13901i 0.579282 + 0.0526506i
\(469\) −42.8254 24.7252i −1.97749 1.14170i
\(470\) −19.2823 5.11598i −0.889425 0.235982i
\(471\) −46.1617 26.6515i −2.12702 1.22804i
\(472\) 0.141093 27.8787i 0.00649432 1.28322i
\(473\) −2.34277 0.627745i −0.107721 0.0288637i
\(474\) 11.3398 24.2115i 0.520853 1.11207i
\(475\) −7.67946 + 20.3967i −0.352358 + 0.935865i
\(476\) 45.5536 37.9628i 2.08795 1.74002i
\(477\) 11.3443 42.3374i 0.519419 1.93850i
\(478\) 24.5392 29.1447i 1.12240 1.33305i
\(479\) −8.87600 + 15.3737i −0.405555 + 0.702441i −0.994386 0.105815i \(-0.966255\pi\)
0.588831 + 0.808256i \(0.299588\pi\)
\(480\) −30.1007 14.1938i −1.37390 0.647857i
\(481\) 1.52576 2.64269i 0.0695685 0.120496i
\(482\) −5.90172 16.3003i −0.268816 0.742460i
\(483\) −0.916028 0.916028i −0.0416807 0.0416807i
\(484\) −3.68443 21.3158i −0.167474 0.968898i
\(485\) −0.346993 + 4.16474i −0.0157562 + 0.189111i
\(486\) 12.8618 27.4611i 0.583422 1.24566i
\(487\) 13.8394 13.8394i 0.627124 0.627124i −0.320220 0.947343i \(-0.603757\pi\)
0.947343 + 0.320220i \(0.103757\pi\)
\(488\) −34.9756 + 19.9579i −1.58327 + 0.903450i
\(489\) 7.00724 4.04563i 0.316878 0.182950i
\(490\) 21.1614 + 12.1484i 0.955977 + 0.548809i
\(491\) −28.1037 + 16.2257i −1.26830 + 0.732255i −0.974667 0.223663i \(-0.928199\pi\)
−0.293636 + 0.955917i \(0.594865\pi\)
\(492\) 15.3089 + 33.1214i 0.690180 + 1.49323i
\(493\) −7.84807 + 7.84807i −0.353460 + 0.353460i
\(494\) −9.04828 + 3.99023i −0.407101 + 0.179529i
\(495\) 1.27225 3.54103i 0.0571832 0.159158i
\(496\) 6.57268 + 18.4446i 0.295122 + 0.828187i
\(497\) 2.54699 9.50549i 0.114248 0.426379i
\(498\) −6.33456 + 35.5741i −0.283859 + 1.59411i
\(499\) −18.9705 32.8579i −0.849237 1.47092i −0.881890 0.471455i \(-0.843729\pi\)
0.0326530 0.999467i \(-0.489604\pi\)
\(500\) −14.5276 16.9985i −0.649695 0.760195i
\(501\) 13.6769 0.611039
\(502\) −11.0885 + 4.01471i −0.494903 + 0.179185i
\(503\) 40.9401 10.9699i 1.82543 0.489122i 0.827997 0.560733i \(-0.189480\pi\)
0.997433 + 0.0716102i \(0.0228138\pi\)
\(504\) −41.0485 11.2219i −1.82845 0.499862i
\(505\) 9.54398 26.5637i 0.424702 1.18207i
\(506\) −0.0705280 0.0330327i −0.00313535 0.00146848i
\(507\) −7.09986 26.4970i −0.315316 1.17678i
\(508\) 2.27092 1.04963i 0.100756 0.0465699i
\(509\) −4.12131 2.37944i −0.182674 0.105467i 0.405874 0.913929i \(-0.366967\pi\)
−0.588548 + 0.808462i \(0.700300\pi\)
\(510\) −55.6090 + 32.2881i −2.46241 + 1.42974i
\(511\) −2.79545 + 1.61396i −0.123664 + 0.0713972i
\(512\) −0.343533 + 22.6248i −0.0151821 + 0.999885i
\(513\) −0.718020 10.5491i −0.0317013 0.465753i
\(514\) 2.80401 5.98683i 0.123680 0.264068i
\(515\) 9.90191 + 6.87245i 0.436330 + 0.302836i
\(516\) 10.2680 27.9177i 0.452024 1.22901i
\(517\) −2.61443 + 0.700533i −0.114982 + 0.0308094i
\(518\) −6.64666 + 7.89410i −0.292038 + 0.346847i
\(519\) 14.6582 25.3888i 0.643426 1.11445i
\(520\) 0.893569 10.1065i 0.0391856 0.443201i
\(521\) −21.0769 −0.923394 −0.461697 0.887038i \(-0.652759\pi\)
−0.461697 + 0.887038i \(0.652759\pi\)
\(522\) 7.84160 + 1.39633i 0.343218 + 0.0611157i
\(523\) 24.5932 6.58972i 1.07538 0.288148i 0.322680 0.946508i \(-0.395416\pi\)
0.752703 + 0.658360i \(0.228749\pi\)
\(524\) 8.78917 + 10.5466i 0.383957 + 0.460730i
\(525\) −38.9251 32.1164i −1.69883 1.40167i
\(526\) −4.73177 6.78198i −0.206315 0.295709i
\(527\) 36.5450 + 9.79220i 1.59193 + 0.426555i
\(528\) −4.50058 + 0.363165i −0.195863 + 0.0158047i
\(529\) −19.9043 + 11.4918i −0.865405 + 0.499642i
\(530\) −34.1588 9.06300i −1.48376 0.393672i
\(531\) 38.6580i 1.67762i
\(532\) 32.4914 7.92084i 1.40868 0.343412i
\(533\) −7.86602 + 7.86602i −0.340715 + 0.340715i
\(534\) 3.41011 + 39.7499i 0.147570 + 1.72015i
\(535\) −13.5768 + 19.5615i −0.586974 + 0.845719i
\(536\) 9.61469 35.1696i 0.415291 1.51909i
\(537\) −11.4769 + 42.8323i −0.495264 + 1.84835i
\(538\) 6.92270 38.8769i 0.298459 1.67610i
\(539\) 3.31057 0.142596
\(540\) 9.83529 + 4.57708i 0.423244 + 0.196966i
\(541\) 8.67230 15.0209i 0.372851 0.645798i −0.617151 0.786844i \(-0.711713\pi\)
0.990003 + 0.141047i \(0.0450468\pi\)
\(542\) −1.18418 + 6.65022i −0.0508651 + 0.285651i
\(543\) 5.02159 + 5.02159i 0.215497 + 0.215497i
\(544\) 35.6015 + 25.3786i 1.52640 + 1.08810i
\(545\) −28.7299 + 24.3107i −1.23065 + 1.04136i
\(546\) −1.95718 22.8138i −0.0837594 0.976342i
\(547\) 9.82859 + 36.6808i 0.420240 + 1.56836i 0.774103 + 0.633060i \(0.218201\pi\)
−0.353863 + 0.935297i \(0.615132\pi\)
\(548\) −10.8441 23.4617i −0.463238 1.00223i
\(549\) 48.3577 27.9193i 2.06385 1.19157i
\(550\) −2.85762 1.01879i −0.121849 0.0434415i
\(551\) −5.92223 + 2.02692i −0.252295 + 0.0863496i
\(552\) 0.481755 0.824757i 0.0205049 0.0351040i
\(553\) −26.6255 7.13429i −1.13223 0.303381i
\(554\) 19.0509 1.63436i 0.809394 0.0694371i
\(555\) 8.54262 7.22861i 0.362614 0.306838i
\(556\) 12.6085 + 4.63735i 0.534719 + 0.196667i
\(557\) −27.5725 + 7.38802i −1.16828 + 0.313041i −0.790270 0.612759i \(-0.790060\pi\)
−0.378014 + 0.925800i \(0.623393\pi\)
\(558\) −9.24321 25.5294i −0.391296 1.08075i
\(559\) 9.06875 0.383567
\(560\) −8.96687 + 33.1193i −0.378919 + 1.39955i
\(561\) −4.36218 + 7.55553i −0.184172 + 0.318995i
\(562\) 13.0816 + 36.1310i 0.551815 + 1.52410i
\(563\) 9.95827 + 9.95827i 0.419691 + 0.419691i 0.885097 0.465406i \(-0.154092\pi\)
−0.465406 + 0.885097i \(0.654092\pi\)
\(564\) −5.65396 32.7102i −0.238075 1.37735i
\(565\) 6.74783 9.72235i 0.283883 0.409022i
\(566\) 19.3394 + 27.7190i 0.812897 + 1.16512i
\(567\) −19.9500 5.34559i −0.837823 0.224494i
\(568\) 7.25559 + 0.0367202i 0.304438 + 0.00154075i
\(569\) 37.7129i 1.58101i −0.612457 0.790504i \(-0.709819\pi\)
0.612457 0.790504i \(-0.290181\pi\)
\(570\) −36.1755 + 2.55150i −1.51523 + 0.106871i
\(571\) 21.4528i 0.897774i −0.893589 0.448887i \(-0.851821\pi\)
0.893589 0.448887i \(-0.148179\pi\)
\(572\) −0.577547 1.24954i −0.0241484 0.0522460i
\(573\) −14.3056 3.83319i −0.597627 0.160134i
\(574\) 30.8529 21.5260i 1.28778 0.898476i
\(575\) 0.522642 0.372448i 0.0217957 0.0155321i
\(576\) 0.317576 31.3743i 0.0132323 1.30726i
\(577\) 27.3986 + 27.3986i 1.14062 + 1.14062i 0.988337 + 0.152283i \(0.0486627\pi\)
0.152283 + 0.988337i \(0.451337\pi\)
\(578\) 56.8271 20.5749i 2.36370 0.855803i
\(579\) 11.4016 19.7481i 0.473834 0.820705i
\(580\) 1.11033 6.32538i 0.0461039 0.262647i
\(581\) 37.2545 1.54558
\(582\) −6.53864 + 2.36739i −0.271035 + 0.0981314i
\(583\) −4.63148 + 1.24100i −0.191816 + 0.0513971i
\(584\) −1.67435 1.69138i −0.0692849 0.0699898i
\(585\) −1.16811 + 14.0201i −0.0482955 + 0.579661i
\(586\) 0.200450 + 2.33655i 0.00828052 + 0.0965219i
\(587\) −9.18687 2.46161i −0.379183 0.101602i 0.0641931 0.997937i \(-0.479553\pi\)
−0.443376 + 0.896336i \(0.646219\pi\)
\(588\) −3.67514 + 40.4352i −0.151560 + 1.66752i
\(589\) 16.0777 + 14.0285i 0.662470 + 0.578035i
\(590\) 31.1697 0.0765100i 1.28323 0.00314987i
\(591\) −8.24171 + 4.75835i −0.339018 + 0.195732i
\(592\) −6.87400 3.26205i −0.282520 0.134069i
\(593\) −0.797019 2.97451i −0.0327296 0.122149i 0.947628 0.319376i \(-0.103473\pi\)
−0.980358 + 0.197227i \(0.936806\pi\)
\(594\) 1.46645 0.125805i 0.0601690 0.00516184i
\(595\) 42.8253 + 50.6101i 1.75567 + 2.07481i
\(596\) −3.49767 4.19704i −0.143270 0.171917i
\(597\) 1.52126 + 1.52126i 0.0622609 + 0.0622609i
\(598\) 0.286689 + 0.0510498i 0.0117236 + 0.00208758i
\(599\) −15.9995 + 27.7119i −0.653721 + 1.13228i 0.328491 + 0.944507i \(0.393460\pi\)
−0.982213 + 0.187772i \(0.939874\pi\)
\(600\) 15.6158 33.7719i 0.637513 1.37873i
\(601\) −25.4507 −1.03816 −0.519078 0.854727i \(-0.673725\pi\)
−0.519078 + 0.854727i \(0.673725\pi\)
\(602\) −30.1938 5.37652i −1.23061 0.219131i
\(603\) −13.0851 + 48.8341i −0.532865 + 1.98868i
\(604\) 6.09466 1.05346i 0.247988 0.0428648i
\(605\) 23.8001 4.29831i 0.967612 0.174751i
\(606\) 46.7956 4.01455i 1.90094 0.163080i
\(607\) 11.7050 11.7050i 0.475092 0.475092i −0.428466 0.903558i \(-0.640946\pi\)
0.903558 + 0.428466i \(0.140946\pi\)
\(608\) 11.7318 + 21.6879i 0.475786 + 0.879561i
\(609\) 14.4935i 0.587308i
\(610\) −22.6068 38.9351i −0.915323 1.57644i
\(611\) 8.76443 5.06015i 0.354571 0.204712i
\(612\) −49.5436 34.9405i −2.00268 1.41239i
\(613\) −33.8129 9.06014i −1.36569 0.365936i −0.499788 0.866148i \(-0.666589\pi\)
−0.865903 + 0.500212i \(0.833255\pi\)
\(614\) 24.2788 16.9392i 0.979812 0.683612i
\(615\) −36.9012 + 17.3937i −1.48800 + 0.701383i
\(616\) 1.18210 + 4.50268i 0.0476281 + 0.181418i
\(617\) −33.4299 + 8.95752i −1.34584 + 0.360616i −0.858597 0.512651i \(-0.828663\pi\)
−0.487241 + 0.873267i \(0.661997\pi\)
\(618\) −3.51602 + 19.7455i −0.141435 + 0.794280i
\(619\) 22.4935 0.904088 0.452044 0.891996i \(-0.350695\pi\)
0.452044 + 0.891996i \(0.350695\pi\)
\(620\) −20.5659 + 7.50325i −0.825945 + 0.301338i
\(621\) −0.155676 + 0.269639i −0.00624707 + 0.0108202i
\(622\) −36.1516 30.4389i −1.44955 1.22049i
\(623\) 39.7319 10.6461i 1.59182 0.426528i
\(624\) 15.9030 5.66699i 0.636630 0.226861i
\(625\) 18.8823 16.3847i 0.755291 0.655389i
\(626\) 6.76895 + 3.17033i 0.270542 + 0.126712i
\(627\) −4.08423 + 2.74385i −0.163109 + 0.109579i
\(628\) −40.3533 3.66769i −1.61027 0.146357i
\(629\) −12.7321 + 7.35087i −0.507661 + 0.293098i
\(630\) 12.2012 45.9866i 0.486106 1.83215i
\(631\) 14.4491 + 8.34217i 0.575208 + 0.332097i 0.759227 0.650826i \(-0.225577\pi\)
−0.184018 + 0.982923i \(0.558911\pi\)
\(632\) 0.102856 20.3234i 0.00409139 0.808423i
\(633\) 4.21853 + 15.7438i 0.167672 + 0.625759i
\(634\) 9.55747 20.4061i 0.379576 0.810430i
\(635\) 1.19257 + 2.53007i 0.0473258 + 0.100403i
\(636\) −10.0161 57.9464i −0.397162 2.29773i
\(637\) −11.9566 + 3.20376i −0.473738 + 0.126938i
\(638\) −0.296628 0.819277i −0.0117436 0.0324355i
\(639\) −10.0610 −0.398006
\(640\) −25.2975 0.193964i −0.999971 0.00766712i
\(641\) 7.04443 + 12.2013i 0.278238 + 0.481922i 0.970947 0.239295i \(-0.0769162\pi\)
−0.692709 + 0.721217i \(0.743583\pi\)
\(642\) −39.0078 6.94600i −1.53952 0.274137i
\(643\) −4.50025 + 16.7952i −0.177472 + 0.662336i 0.818645 + 0.574300i \(0.194726\pi\)
−0.996117 + 0.0880361i \(0.971941\pi\)
\(644\) −0.924247 0.339934i −0.0364204 0.0133953i
\(645\) 31.2983 + 11.2451i 1.23237 + 0.442775i
\(646\) 47.3651 + 5.14787i 1.86355 + 0.202540i
\(647\) 7.44773 7.44773i 0.292801 0.292801i −0.545385 0.838186i \(-0.683617\pi\)
0.838186 + 0.545385i \(0.183617\pi\)
\(648\) 0.0770680 15.2280i 0.00302752 0.598211i
\(649\) 3.66240 2.11449i 0.143762 0.0830010i
\(650\) 11.3066 + 0.914092i 0.443482 + 0.0358536i
\(651\) −42.7869 + 24.7030i −1.67695 + 0.968189i
\(652\) 3.54493 5.02650i 0.138830 0.196853i
\(653\) 11.9862 11.9862i 0.469054 0.469054i −0.432554 0.901608i \(-0.642387\pi\)
0.901608 + 0.432554i \(0.142387\pi\)
\(654\) −56.7119 26.5617i −2.21761 1.03865i
\(655\) −11.7173 + 9.91493i −0.457831 + 0.387408i
\(656\) 21.1274 + 17.9723i 0.824885 + 0.701700i
\(657\) 2.33354 + 2.33354i 0.0910401 + 0.0910401i
\(658\) −32.1806 + 11.6513i −1.25453 + 0.454217i
\(659\) 3.15738 5.46874i 0.122994 0.213032i −0.797953 0.602720i \(-0.794084\pi\)
0.920947 + 0.389688i \(0.127417\pi\)
\(660\) −0.443836 5.02861i −0.0172763 0.195738i
\(661\) −7.46566 + 12.9309i −0.290381 + 0.502954i −0.973900 0.226979i \(-0.927115\pi\)
0.683519 + 0.729933i \(0.260449\pi\)
\(662\) 34.2284 + 28.8196i 1.33032 + 1.12010i
\(663\) 8.44288 31.5093i 0.327894 1.22372i
\(664\) 6.97486 + 26.5676i 0.270677 + 1.03102i
\(665\) 9.12853 + 36.2589i 0.353989 + 1.40606i
\(666\) 9.55448 + 4.47497i 0.370229 + 0.173401i
\(667\) 0.178040 + 0.0477056i 0.00689372 + 0.00184717i
\(668\) 9.43754 4.36209i 0.365149 0.168774i
\(669\) 8.71856 + 5.03366i 0.337079 + 0.194613i
\(670\) 39.4004 + 10.4537i 1.52217 + 0.403863i
\(671\) −5.29007 3.05422i −0.204221 0.117907i
\(672\) −56.3079 + 9.43960i −2.17212 + 0.364140i
\(673\) 10.9071 10.9071i 0.420436 0.420436i −0.464918 0.885354i \(-0.653916\pi\)
0.885354 + 0.464918i \(0.153916\pi\)
\(674\) 6.78045 + 9.71834i 0.261173 + 0.374336i
\(675\) −5.03455 + 11.0343i −0.193780 + 0.424712i
\(676\) −13.3501 16.0194i −0.513464 0.616132i
\(677\) −11.2603 11.2603i −0.432769 0.432769i 0.456800 0.889569i \(-0.348995\pi\)
−0.889569 + 0.456800i \(0.848995\pi\)
\(678\) 19.3874 + 3.45226i 0.744569 + 0.132583i
\(679\) 3.58486 + 6.20917i 0.137574 + 0.238286i
\(680\) −28.0742 + 40.0158i −1.07660 + 1.53453i
\(681\) −22.4922 38.9576i −0.861901 1.49286i
\(682\) −1.91304 + 2.27208i −0.0732541 + 0.0870024i
\(683\) 10.2860 + 10.2860i 0.393584 + 0.393584i 0.875963 0.482379i \(-0.160227\pi\)
−0.482379 + 0.875963i \(0.660227\pi\)
\(684\) −16.4196 29.9905i −0.627820 1.14671i
\(685\) 26.1391 12.3209i 0.998722 0.470757i
\(686\) 3.87104 0.332093i 0.147797 0.0126794i
\(687\) 42.3291 + 11.3420i 1.61496 + 0.432726i
\(688\) −1.81874 22.5390i −0.0693389 0.859292i
\(689\) 15.5263 8.96410i 0.591504 0.341505i
\(690\) 0.926128 + 0.531674i 0.0352571 + 0.0202405i
\(691\) 38.2209i 1.45399i −0.686641 0.726997i \(-0.740916\pi\)
0.686641 0.726997i \(-0.259084\pi\)
\(692\) 2.01722 22.1942i 0.0766833 0.843698i
\(693\) −1.67071 6.23519i −0.0634652 0.236855i
\(694\) 5.46347 3.81185i 0.207391 0.144696i
\(695\) −5.07863 + 14.1353i −0.192643 + 0.536182i
\(696\) 10.3359 2.71351i 0.391782 0.102855i
\(697\) 51.7687 13.8714i 1.96088 0.525416i
\(698\) 23.2900 + 19.6097i 0.881540 + 0.742238i
\(699\) 11.3831 19.7162i 0.430550 0.745734i
\(700\) −37.1028 9.74670i −1.40235 0.368390i
\(701\) 7.99706 + 13.8513i 0.302045 + 0.523157i 0.976599 0.215068i \(-0.0689974\pi\)
−0.674554 + 0.738225i \(0.735664\pi\)
\(702\) −5.17453 + 1.87349i −0.195300 + 0.0707105i
\(703\) −8.27229 + 0.563051i −0.311995 + 0.0212359i
\(704\) −2.98972 + 1.68600i −0.112679 + 0.0635436i
\(705\) 36.5226 6.59599i 1.37552 0.248419i
\(706\) −2.40329 28.0140i −0.0904490 1.05432i
\(707\) −12.5331 46.7743i −0.471358 1.75913i
\(708\) 21.7606 + 47.0798i 0.817813 + 1.76937i
\(709\) −3.89894 2.25105i −0.146428 0.0845401i 0.424996 0.905195i \(-0.360275\pi\)
−0.571424 + 0.820655i \(0.693609\pi\)
\(710\) 0.0199121 + 8.11208i 0.000747290 + 0.304441i
\(711\) 28.1815i 1.05689i
\(712\) 15.0309 + 26.3412i 0.563305 + 0.987178i
\(713\) −0.162621 0.606908i −0.00609019 0.0227289i
\(714\) −46.7907 + 99.9027i −1.75110 + 3.73877i
\(715\) 1.39214 0.656198i 0.0520630 0.0245404i
\(716\) 5.74142 + 33.2162i 0.214567 + 1.24135i
\(717\) −18.3450 + 68.4644i −0.685106 + 2.55685i
\(718\) −36.2267 6.45078i −1.35197 0.240741i
\(719\) 8.88481 + 15.3889i 0.331347 + 0.573910i 0.982776 0.184799i \(-0.0591635\pi\)
−0.651429 + 0.758710i \(0.725830\pi\)
\(720\) 35.0792 + 0.0914266i 1.30733 + 0.00340727i
\(721\) 20.6782 0.770096
\(722\) 22.7100 + 14.3617i 0.845178 + 0.534485i
\(723\) 22.8050 + 22.8050i 0.848127 + 0.848127i
\(724\) 5.06665 + 1.86349i 0.188300 + 0.0692561i
\(725\) 7.08112 + 1.18820i 0.262986 + 0.0441287i
\(726\) 23.0270 + 33.0043i 0.854612 + 1.22490i
\(727\) 9.11573 + 2.44255i 0.338084 + 0.0905893i 0.423867 0.905725i \(-0.360673\pi\)
−0.0857830 + 0.996314i \(0.527339\pi\)
\(728\) −8.62672 15.1181i −0.319728 0.560314i
\(729\) 40.2619i 1.49118i
\(730\) 1.87690 1.88613i 0.0694671 0.0698090i
\(731\) −37.8383 21.8459i −1.39950 0.808002i
\(732\) 43.1768 61.2221i 1.59586 2.26284i
\(733\) −17.9712 + 17.9712i −0.663781 + 0.663781i −0.956269 0.292488i \(-0.905517\pi\)
0.292488 + 0.956269i \(0.405517\pi\)
\(734\) 31.7278 + 14.8601i 1.17109 + 0.548497i
\(735\) −45.2376 3.76905i −1.66861 0.139024i
\(736\) 0.0693811 0.722760i 0.00255742 0.0266413i
\(737\) 5.34219 1.43143i 0.196782 0.0527276i
\(738\) −29.4216 24.7724i −1.08303 0.911884i
\(739\) −11.5816 20.0598i −0.426035 0.737913i 0.570482 0.821310i \(-0.306756\pi\)
−0.996516 + 0.0833968i \(0.973423\pi\)
\(740\) 3.58922 7.71256i 0.131942 0.283519i
\(741\) 12.0955 13.8623i 0.444338 0.509243i
\(742\) −57.0083 + 20.6405i −2.09284 + 0.757736i
\(743\) −2.83847 + 10.5933i −0.104134 + 0.388632i −0.998245 0.0592120i \(-0.981141\pi\)
0.894112 + 0.447844i \(0.147808\pi\)
\(744\) −25.6274 25.8881i −0.939545 0.949104i
\(745\) 4.66291 3.94567i 0.170836 0.144558i
\(746\) 0.985413 + 11.4865i 0.0360785 + 0.420549i
\(747\) −9.85789 36.7901i −0.360681 1.34608i
\(748\) −0.600310 + 6.60484i −0.0219495 + 0.241497i
\(749\) 40.8505i 1.49264i
\(750\) 37.8883 + 17.1748i 1.38349 + 0.627134i
\(751\) −37.5617 21.6863i −1.37065 0.791343i −0.379637 0.925135i \(-0.623951\pi\)
−0.991009 + 0.133792i \(0.957284\pi\)
\(752\) −14.3340 20.7679i −0.522706 0.757327i
\(753\) 15.5134 15.5134i 0.565338 0.565338i
\(754\) 1.86416 + 2.67188i 0.0678886 + 0.0973040i
\(755\) 1.22898 + 6.80499i 0.0447273 + 0.247659i
\(756\) 18.3390 3.16990i 0.666983 0.115288i
\(757\) −2.89944 + 10.8209i −0.105382 + 0.393291i −0.998388 0.0567532i \(-0.981925\pi\)
0.893006 + 0.450044i \(0.148592\pi\)
\(758\) −13.4956 + 16.0285i −0.490184 + 0.582181i
\(759\) 0.144887 0.00525906
\(760\) −24.1486 + 13.2984i −0.875961 + 0.482383i
\(761\) 4.83114 0.175129 0.0875643 0.996159i \(-0.472092\pi\)
0.0875643 + 0.996159i \(0.472092\pi\)
\(762\) −2.99768 + 3.56028i −0.108594 + 0.128975i
\(763\) −16.7110 + 62.3665i −0.604981 + 2.25782i
\(764\) −11.0939 + 1.91759i −0.401364 + 0.0693759i
\(765\) 38.6473 55.6835i 1.39730 2.01324i
\(766\) −11.1479 15.9782i −0.402791 0.577316i
\(767\) −11.1810 + 11.1810i −0.403723 + 0.403723i
\(768\) −17.2738 38.3881i −0.623316 1.38521i