Properties

Label 690.2.q.a.11.16
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 + 0.841254i) q^{2} +(1.73004 + 0.0835168i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(0.865069 + 1.50055i) q^{6} +(0.0904807 - 0.0784019i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(2.98605 + 0.288974i) q^{9} +O(q^{10})\) \(q+(0.540641 + 0.841254i) q^{2} +(1.73004 + 0.0835168i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(0.865069 + 1.50055i) q^{6} +(0.0904807 - 0.0784019i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(2.98605 + 0.288974i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(1.78435 + 1.14673i) q^{11} +(-0.794652 + 1.53900i) q^{12} +(-4.06646 + 4.69295i) q^{13} +(0.114873 + 0.0337299i) q^{14} +(-1.68349 + 0.407274i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.82025 + 3.98579i) q^{17} +(1.37128 + 2.66826i) q^{18} +(2.42113 + 1.10569i) q^{19} +(0.142315 - 0.989821i) q^{20} +(0.163083 - 0.128082i) q^{21} +2.12106i q^{22} +(4.06204 - 2.54947i) q^{23} +(-1.72431 + 0.163543i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-6.14646 - 0.883727i) q^{26} +(5.14184 + 0.749321i) q^{27} +(0.0337299 + 0.114873i) q^{28} +(2.53162 - 1.15615i) q^{29} +(-1.25278 - 1.19605i) q^{30} +(-0.200611 - 1.39528i) q^{31} +(0.281733 - 0.959493i) q^{32} +(2.99122 + 2.13291i) q^{33} +(-2.36896 + 3.68618i) q^{34} +(-0.0647272 + 0.100717i) q^{35} +(-1.50331 + 2.59616i) q^{36} +(-1.92669 + 6.56171i) q^{37} +(0.378794 + 2.63457i) q^{38} +(-7.42707 + 7.77935i) q^{39} +(0.909632 - 0.415415i) q^{40} +(-3.58975 - 12.2256i) q^{41} +(0.195918 + 0.0679478i) q^{42} +(-2.74932 - 0.395292i) q^{43} +(-1.78435 + 1.14673i) q^{44} +(-2.94651 + 0.563999i) q^{45} +(4.34086 + 2.03886i) q^{46} -8.49366i q^{47} +(-1.06981 - 1.36217i) q^{48} +(-0.994164 + 6.91456i) q^{49} +(0.909632 + 0.415415i) q^{50} +(2.81622 + 7.04759i) q^{51} +(-2.57959 - 5.64851i) q^{52} +(-6.85937 - 7.91614i) q^{53} +(2.14952 + 4.73070i) q^{54} +(-2.03514 - 0.597571i) q^{55} +(-0.0784019 + 0.0904807i) q^{56} +(4.09630 + 2.11509i) q^{57} +(2.34131 + 1.50467i) q^{58} +(5.76742 + 4.99750i) q^{59} +(0.328876 - 1.70054i) q^{60} +(8.29264 - 1.19230i) q^{61} +(1.06532 - 0.923109i) q^{62} +(0.292836 - 0.207966i) q^{63} +(0.959493 - 0.281733i) q^{64} +(2.57959 - 5.64851i) q^{65} +(-0.177144 + 3.66951i) q^{66} +(-6.19522 - 9.63994i) q^{67} -4.38177 q^{68} +(7.24040 - 4.07143i) q^{69} -0.119723 q^{70} +(-7.30356 - 11.3646i) q^{71} +(-2.99678 + 0.138926i) q^{72} +(1.04420 - 2.28647i) q^{73} +(-6.56171 + 1.92669i) q^{74} +(1.50055 - 0.865069i) q^{75} +(-2.01155 + 1.74302i) q^{76} +(0.251355 - 0.0361394i) q^{77} +(-10.5598 - 2.04221i) q^{78} +(-4.41725 - 3.82756i) q^{79} +(0.841254 + 0.540641i) q^{80} +(8.83299 + 1.72578i) q^{81} +(8.34404 - 9.62953i) q^{82} +(8.16318 + 2.39693i) q^{83} +(0.0487601 + 0.201552i) q^{84} +(-2.86945 - 3.31152i) q^{85} +(-1.15385 - 2.52658i) q^{86} +(4.47635 - 1.78875i) q^{87} +(-1.92938 - 0.881120i) q^{88} +(-1.23518 + 8.59085i) q^{89} +(-2.06747 - 2.17384i) q^{90} +0.743440i q^{91} +(0.631647 + 4.75405i) q^{92} +(-0.230535 - 2.43064i) q^{93} +(7.14532 - 4.59202i) q^{94} +(-2.63457 - 0.378794i) q^{95} +(0.567541 - 1.63643i) q^{96} +(0.0157293 + 0.0535692i) q^{97} +(-6.35439 + 2.90195i) q^{98} +(4.99678 + 3.93983i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.540641 + 0.841254i 0.382291 + 0.594856i
\(3\) 1.73004 + 0.0835168i 0.998837 + 0.0482184i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) 0.865069 + 1.50055i 0.353163 + 0.612598i
\(7\) 0.0904807 0.0784019i 0.0341985 0.0296331i −0.637594 0.770373i \(-0.720070\pi\)
0.671792 + 0.740740i \(0.265525\pi\)
\(8\) −0.989821 + 0.142315i −0.349955 + 0.0503159i
\(9\) 2.98605 + 0.288974i 0.995350 + 0.0963247i
\(10\) −0.755750 0.654861i −0.238989 0.207085i
\(11\) 1.78435 + 1.14673i 0.538001 + 0.345752i 0.781257 0.624210i \(-0.214579\pi\)
−0.243255 + 0.969962i \(0.578215\pi\)
\(12\) −0.794652 + 1.53900i −0.229396 + 0.444272i
\(13\) −4.06646 + 4.69295i −1.12783 + 1.30159i −0.179699 + 0.983722i \(0.557512\pi\)
−0.948135 + 0.317868i \(0.897033\pi\)
\(14\) 0.114873 + 0.0337299i 0.0307012 + 0.00901469i
\(15\) −1.68349 + 0.407274i −0.434674 + 0.105158i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 1.82025 + 3.98579i 0.441476 + 0.966697i 0.991325 + 0.131433i \(0.0419579\pi\)
−0.549849 + 0.835264i \(0.685315\pi\)
\(18\) 1.37128 + 2.66826i 0.323214 + 0.628914i
\(19\) 2.42113 + 1.10569i 0.555446 + 0.253663i 0.673303 0.739367i \(-0.264875\pi\)
−0.117857 + 0.993031i \(0.537602\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) 0.163083 0.128082i 0.0355876 0.0279497i
\(22\) 2.12106i 0.452211i
\(23\) 4.06204 2.54947i 0.846995 0.531602i
\(24\) −1.72431 + 0.163543i −0.351974 + 0.0333831i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) −6.14646 0.883727i −1.20542 0.173313i
\(27\) 5.14184 + 0.749321i 0.989548 + 0.144207i
\(28\) 0.0337299 + 0.114873i 0.00637435 + 0.0217090i
\(29\) 2.53162 1.15615i 0.470110 0.214692i −0.166251 0.986083i \(-0.553166\pi\)
0.636361 + 0.771391i \(0.280439\pi\)
\(30\) −1.25278 1.19605i −0.228726 0.218368i
\(31\) −0.200611 1.39528i −0.0360308 0.250599i 0.963843 0.266470i \(-0.0858572\pi\)
−0.999874 + 0.0158703i \(0.994948\pi\)
\(32\) 0.281733 0.959493i 0.0498038 0.169616i
\(33\) 2.99122 + 2.13291i 0.520704 + 0.371292i
\(34\) −2.36896 + 3.68618i −0.406274 + 0.632174i
\(35\) −0.0647272 + 0.100717i −0.0109409 + 0.0170244i
\(36\) −1.50331 + 2.59616i −0.250552 + 0.432694i
\(37\) −1.92669 + 6.56171i −0.316746 + 1.07874i 0.635168 + 0.772374i \(0.280931\pi\)
−0.951914 + 0.306364i \(0.900887\pi\)
\(38\) 0.378794 + 2.63457i 0.0614485 + 0.427383i
\(39\) −7.42707 + 7.77935i −1.18928 + 1.24569i
\(40\) 0.909632 0.415415i 0.143825 0.0656829i
\(41\) −3.58975 12.2256i −0.560625 1.90931i −0.376529 0.926405i \(-0.622882\pi\)
−0.184096 0.982908i \(-0.558936\pi\)
\(42\) 0.195918 + 0.0679478i 0.0302308 + 0.0104846i
\(43\) −2.74932 0.395292i −0.419267 0.0602815i −0.0705469 0.997508i \(-0.522474\pi\)
−0.348720 + 0.937227i \(0.613384\pi\)
\(44\) −1.78435 + 1.14673i −0.269001 + 0.172876i
\(45\) −2.94651 + 0.563999i −0.439239 + 0.0840760i
\(46\) 4.34086 + 2.03886i 0.640025 + 0.300613i
\(47\) 8.49366i 1.23893i −0.785025 0.619464i \(-0.787350\pi\)
0.785025 0.619464i \(-0.212650\pi\)
\(48\) −1.06981 1.36217i −0.154414 0.196612i
\(49\) −0.994164 + 6.91456i −0.142023 + 0.987795i
\(50\) 0.909632 + 0.415415i 0.128641 + 0.0587486i
\(51\) 2.81622 + 7.04759i 0.394350 + 0.986860i
\(52\) −2.57959 5.64851i −0.357724 0.783307i
\(53\) −6.85937 7.91614i −0.942208 1.08737i −0.996048 0.0888159i \(-0.971692\pi\)
0.0538405 0.998550i \(-0.482854\pi\)
\(54\) 2.14952 + 4.73070i 0.292513 + 0.643767i
\(55\) −2.03514 0.597571i −0.274418 0.0805765i
\(56\) −0.0784019 + 0.0904807i −0.0104769 + 0.0120910i
\(57\) 4.09630 + 2.11509i 0.542568 + 0.280151i
\(58\) 2.34131 + 1.50467i 0.307430 + 0.197573i
\(59\) 5.76742 + 4.99750i 0.750855 + 0.650619i 0.943772 0.330596i \(-0.107250\pi\)
−0.192918 + 0.981215i \(0.561795\pi\)
\(60\) 0.328876 1.70054i 0.0424578 0.219539i
\(61\) 8.29264 1.19230i 1.06176 0.152659i 0.410768 0.911740i \(-0.365261\pi\)
0.650996 + 0.759081i \(0.274351\pi\)
\(62\) 1.06532 0.923109i 0.135296 0.117235i
\(63\) 0.292836 0.207966i 0.0368939 0.0262012i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 2.57959 5.64851i 0.319958 0.700611i
\(66\) −0.177144 + 3.66951i −0.0218049 + 0.451685i
\(67\) −6.19522 9.63994i −0.756866 1.17771i −0.979232 0.202743i \(-0.935014\pi\)
0.222366 0.974963i \(-0.428622\pi\)
\(68\) −4.38177 −0.531367
\(69\) 7.24040 4.07143i 0.871642 0.490143i
\(70\) −0.119723 −0.0143096
\(71\) −7.30356 11.3646i −0.866773 1.34872i −0.936321 0.351146i \(-0.885792\pi\)
0.0695477 0.997579i \(-0.477844\pi\)
\(72\) −2.99678 + 0.138926i −0.353174 + 0.0163726i
\(73\) 1.04420 2.28647i 0.122214 0.267611i −0.838630 0.544702i \(-0.816643\pi\)
0.960844 + 0.277091i \(0.0893702\pi\)
\(74\) −6.56171 + 1.92669i −0.762783 + 0.223973i
\(75\) 1.50055 0.865069i 0.173269 0.0998896i
\(76\) −2.01155 + 1.74302i −0.230740 + 0.199938i
\(77\) 0.251355 0.0361394i 0.0286446 0.00411847i
\(78\) −10.5598 2.04221i −1.19566 0.231235i
\(79\) −4.41725 3.82756i −0.496979 0.430635i 0.369961 0.929047i \(-0.379371\pi\)
−0.866940 + 0.498413i \(0.833916\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) 8.83299 + 1.72578i 0.981443 + 0.191754i
\(82\) 8.34404 9.62953i 0.921445 1.06340i
\(83\) 8.16318 + 2.39693i 0.896025 + 0.263097i 0.697148 0.716928i \(-0.254452\pi\)
0.198878 + 0.980024i \(0.436270\pi\)
\(84\) 0.0487601 + 0.201552i 0.00532016 + 0.0219912i
\(85\) −2.86945 3.31152i −0.311235 0.359185i
\(86\) −1.15385 2.52658i −0.124423 0.272448i
\(87\) 4.47635 1.78875i 0.479915 0.191774i
\(88\) −1.92938 0.881120i −0.205673 0.0939277i
\(89\) −1.23518 + 8.59085i −0.130929 + 0.910628i 0.813419 + 0.581678i \(0.197604\pi\)
−0.944347 + 0.328950i \(0.893305\pi\)
\(90\) −2.06747 2.17384i −0.217930 0.229143i
\(91\) 0.743440i 0.0779337i
\(92\) 0.631647 + 4.75405i 0.0658538 + 0.495644i
\(93\) −0.230535 2.43064i −0.0239053 0.252045i
\(94\) 7.14532 4.59202i 0.736984 0.473631i
\(95\) −2.63457 0.378794i −0.270301 0.0388634i
\(96\) 0.567541 1.63643i 0.0579244 0.167017i
\(97\) 0.0157293 + 0.0535692i 0.00159707 + 0.00543913i 0.960288 0.279012i \(-0.0900069\pi\)
−0.958691 + 0.284451i \(0.908189\pi\)
\(98\) −6.35439 + 2.90195i −0.641890 + 0.293141i
\(99\) 4.99678 + 3.93983i 0.502195 + 0.395968i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) 3.60731 12.2854i 0.358940 1.22244i −0.560150 0.828391i \(-0.689256\pi\)
0.919090 0.394047i \(-0.128925\pi\)
\(102\) −4.40625 + 6.17937i −0.436283 + 0.611849i
\(103\) −2.62737 + 4.08826i −0.258882 + 0.402829i −0.946227 0.323502i \(-0.895140\pi\)
0.687345 + 0.726331i \(0.258776\pi\)
\(104\) 3.35720 5.22390i 0.329200 0.512245i
\(105\) −0.120392 + 0.168839i −0.0117491 + 0.0164770i
\(106\) 2.95102 10.0503i 0.286629 0.976168i
\(107\) 2.08785 + 14.5213i 0.201840 + 1.40383i 0.798818 + 0.601573i \(0.205459\pi\)
−0.596977 + 0.802258i \(0.703632\pi\)
\(108\) −2.81760 + 4.36590i −0.271124 + 0.420109i
\(109\) −14.6137 + 6.67388i −1.39974 + 0.639241i −0.965225 0.261421i \(-0.915809\pi\)
−0.434519 + 0.900663i \(0.643081\pi\)
\(110\) −0.597571 2.03514i −0.0569762 0.194043i
\(111\) −3.88126 + 11.1911i −0.368393 + 1.06221i
\(112\) −0.118504 0.0170384i −0.0111976 0.00160997i
\(113\) 8.13377 5.22726i 0.765161 0.491739i −0.0989178 0.995096i \(-0.531538\pi\)
0.864079 + 0.503356i \(0.167902\pi\)
\(114\) 0.435296 + 4.58953i 0.0407692 + 0.429849i
\(115\) −3.17923 + 3.59061i −0.296465 + 0.334826i
\(116\) 2.78313i 0.258407i
\(117\) −13.4988 + 12.8383i −1.24796 + 1.18690i
\(118\) −1.08606 + 7.55372i −0.0999800 + 0.695376i
\(119\) 0.477192 + 0.217926i 0.0437441 + 0.0199773i
\(120\) 1.60839 0.642713i 0.146825 0.0586714i
\(121\) −2.70066 5.91362i −0.245514 0.537601i
\(122\) 5.48637 + 6.33161i 0.496713 + 0.573237i
\(123\) −5.18936 21.4505i −0.467909 1.93412i
\(124\) 1.35253 + 0.397138i 0.121460 + 0.0356640i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) 0.333271 + 0.133915i 0.0296901 + 0.0119301i
\(127\) −4.50126 2.89278i −0.399422 0.256693i 0.325474 0.945551i \(-0.394476\pi\)
−0.724896 + 0.688858i \(0.758112\pi\)
\(128\) 0.755750 + 0.654861i 0.0667995 + 0.0578821i
\(129\) −4.72340 0.913484i −0.415872 0.0804277i
\(130\) 6.14646 0.883727i 0.539080 0.0775080i
\(131\) 11.2698 9.76530i 0.984643 0.853198i −0.00452464 0.999990i \(-0.501440\pi\)
0.989167 + 0.146792i \(0.0468948\pi\)
\(132\) −3.18276 + 1.83486i −0.277024 + 0.159704i
\(133\) 0.305754 0.0897775i 0.0265122 0.00778470i
\(134\) 4.76025 10.4235i 0.411223 0.900453i
\(135\) −5.14467 + 0.729656i −0.442782 + 0.0627988i
\(136\) −2.36896 3.68618i −0.203137 0.316087i
\(137\) −5.49587 −0.469544 −0.234772 0.972050i \(-0.575434\pi\)
−0.234772 + 0.972050i \(0.575434\pi\)
\(138\) 7.33956 + 3.88984i 0.624785 + 0.331125i
\(139\) 16.7690 1.42233 0.711166 0.703024i \(-0.248168\pi\)
0.711166 + 0.703024i \(0.248168\pi\)
\(140\) −0.0647272 0.100717i −0.00547045 0.00851218i
\(141\) 0.709363 14.6943i 0.0597391 1.23749i
\(142\) 5.61187 12.2883i 0.470938 1.03121i
\(143\) −12.6375 + 3.71072i −1.05680 + 0.310306i
\(144\) −1.73705 2.44594i −0.144755 0.203829i
\(145\) −2.10335 + 1.82256i −0.174673 + 0.151355i
\(146\) 2.48804 0.357726i 0.205911 0.0296056i
\(147\) −2.29742 + 11.8794i −0.189488 + 0.979797i
\(148\) −5.16836 4.47841i −0.424837 0.368123i
\(149\) 8.84582 + 5.68486i 0.724678 + 0.465722i 0.850261 0.526361i \(-0.176444\pi\)
−0.125584 + 0.992083i \(0.540080\pi\)
\(150\) 1.53900 + 0.794652i 0.125659 + 0.0648831i
\(151\) 2.36765 2.73241i 0.192677 0.222361i −0.651189 0.758916i \(-0.725729\pi\)
0.843865 + 0.536555i \(0.180275\pi\)
\(152\) −2.55384 0.749876i −0.207144 0.0608230i
\(153\) 4.28357 + 12.4278i 0.346306 + 1.00473i
\(154\) 0.166295 + 0.191915i 0.0134004 + 0.0154649i
\(155\) 0.585580 + 1.28224i 0.0470349 + 0.102992i
\(156\) −3.99103 9.98756i −0.319538 0.799645i
\(157\) 11.8365 + 5.40557i 0.944659 + 0.431412i 0.827352 0.561684i \(-0.189846\pi\)
0.117308 + 0.993096i \(0.462574\pi\)
\(158\) 0.831809 5.78536i 0.0661752 0.460259i
\(159\) −11.2058 14.2681i −0.888681 1.13153i
\(160\) 1.00000i 0.0790569i
\(161\) 0.167653 0.549150i 0.0132129 0.0432791i
\(162\) 3.32365 + 8.36381i 0.261131 + 0.657123i
\(163\) −1.02890 + 0.661234i −0.0805896 + 0.0517918i −0.580315 0.814392i \(-0.697071\pi\)
0.499725 + 0.866184i \(0.333434\pi\)
\(164\) 12.6120 + 1.81333i 0.984832 + 0.141597i
\(165\) −3.47096 1.20379i −0.270214 0.0937148i
\(166\) 2.39693 + 8.16318i 0.186037 + 0.633585i
\(167\) −7.18223 + 3.28002i −0.555778 + 0.253815i −0.673444 0.739238i \(-0.735186\pi\)
0.117667 + 0.993053i \(0.462459\pi\)
\(168\) −0.143195 + 0.149987i −0.0110477 + 0.0115717i
\(169\) −3.63755 25.2997i −0.279812 1.94613i
\(170\) 1.23449 4.20427i 0.0946808 0.322453i
\(171\) 6.91010 + 4.00130i 0.528429 + 0.305987i
\(172\) 1.50168 2.33666i 0.114502 0.178168i
\(173\) 3.26280 5.07702i 0.248066 0.385999i −0.694782 0.719220i \(-0.744499\pi\)
0.942849 + 0.333221i \(0.108136\pi\)
\(174\) 3.92489 + 2.79867i 0.297545 + 0.212167i
\(175\) 0.0337299 0.114873i 0.00254974 0.00868362i
\(176\) −0.301858 2.09947i −0.0227534 0.158254i
\(177\) 9.56048 + 9.12753i 0.718609 + 0.686067i
\(178\) −7.89487 + 3.60547i −0.591745 + 0.270241i
\(179\) −3.60460 12.2761i −0.269421 0.917562i −0.977412 0.211341i \(-0.932217\pi\)
0.707992 0.706221i \(-0.249601\pi\)
\(180\) 0.710992 2.91453i 0.0529942 0.217236i
\(181\) −21.5664 3.10078i −1.60302 0.230479i −0.718004 0.696039i \(-0.754944\pi\)
−0.885016 + 0.465560i \(0.845853\pi\)
\(182\) −0.625421 + 0.401934i −0.0463593 + 0.0297933i
\(183\) 14.4461 1.37015i 1.06789 0.101284i
\(184\) −3.65787 + 3.10161i −0.269662 + 0.228654i
\(185\) 6.83872i 0.502793i
\(186\) 1.92014 1.50804i 0.140792 0.110575i
\(187\) −1.32267 + 9.19939i −0.0967234 + 0.672726i
\(188\) 7.72610 + 3.52839i 0.563484 + 0.257335i
\(189\) 0.523985 0.335331i 0.0381143 0.0243918i
\(190\) −1.10569 2.42113i −0.0802154 0.175647i
\(191\) 7.48878 + 8.64251i 0.541869 + 0.625350i 0.958969 0.283510i \(-0.0914990\pi\)
−0.417100 + 0.908861i \(0.636954\pi\)
\(192\) 1.68349 0.407274i 0.121495 0.0293925i
\(193\) 9.43880 + 2.77148i 0.679420 + 0.199496i 0.603193 0.797595i \(-0.293895\pi\)
0.0762262 + 0.997091i \(0.475713\pi\)
\(194\) −0.0365614 + 0.0421941i −0.00262495 + 0.00302936i
\(195\) 4.93452 9.55668i 0.353369 0.684368i
\(196\) −5.87672 3.77674i −0.419765 0.269767i
\(197\) 12.4772 + 10.8116i 0.888964 + 0.770292i 0.974109 0.226077i \(-0.0725900\pi\)
−0.0851454 + 0.996369i \(0.527135\pi\)
\(198\) −0.612931 + 6.33359i −0.0435591 + 0.450109i
\(199\) 6.62122 0.951988i 0.469366 0.0674846i 0.0964260 0.995340i \(-0.469259\pi\)
0.372940 + 0.927856i \(0.378350\pi\)
\(200\) −0.755750 + 0.654861i −0.0534396 + 0.0463056i
\(201\) −9.91285 17.1949i −0.699199 1.21283i
\(202\) 12.2854 3.60731i 0.864395 0.253809i
\(203\) 0.138418 0.303093i 0.00971505 0.0212730i
\(204\) −7.58061 0.365951i −0.530749 0.0256217i
\(205\) 6.88868 + 10.7190i 0.481126 + 0.748647i
\(206\) −4.85973 −0.338593
\(207\) 12.8662 6.43902i 0.894262 0.447543i
\(208\) 6.20966 0.430563
\(209\) 3.05221 + 4.74933i 0.211126 + 0.328518i
\(210\) −0.207125 0.00999888i −0.0142930 0.000689989i
\(211\) −7.20722 + 15.7816i −0.496165 + 1.08645i 0.481532 + 0.876429i \(0.340081\pi\)
−0.977697 + 0.210022i \(0.932647\pi\)
\(212\) 10.0503 2.95102i 0.690255 0.202677i
\(213\) −11.6863 20.2711i −0.800731 1.38895i
\(214\) −11.0874 + 9.60725i −0.757916 + 0.656738i
\(215\) 2.74932 0.395292i 0.187502 0.0269587i
\(216\) −5.19614 0.00993364i −0.353553 0.000675899i
\(217\) −0.127544 0.110517i −0.00865825 0.00750241i
\(218\) −13.5152 8.68570i −0.915366 0.588270i
\(219\) 1.99746 3.86847i 0.134976 0.261407i
\(220\) 1.38900 1.60299i 0.0936463 0.108074i
\(221\) −26.1071 7.66574i −1.75615 0.515653i
\(222\) −11.5129 + 2.78523i −0.772695 + 0.186933i
\(223\) 3.28997 + 3.79682i 0.220313 + 0.254254i 0.855137 0.518402i \(-0.173473\pi\)
−0.634824 + 0.772656i \(0.718928\pi\)
\(224\) −0.0497348 0.108904i −0.00332304 0.00727645i
\(225\) 2.66826 1.37128i 0.177884 0.0914187i
\(226\) 8.79490 + 4.01650i 0.585028 + 0.267173i
\(227\) −0.286003 + 1.98919i −0.0189827 + 0.132027i −0.997109 0.0759843i \(-0.975790\pi\)
0.978126 + 0.208012i \(0.0666992\pi\)
\(228\) −3.62562 + 2.84748i −0.240113 + 0.188579i
\(229\) 21.8330i 1.44277i −0.692535 0.721384i \(-0.743506\pi\)
0.692535 0.721384i \(-0.256494\pi\)
\(230\) −4.73944 0.733310i −0.312509 0.0483531i
\(231\) 0.437871 0.0415301i 0.0288098 0.00273248i
\(232\) −2.34131 + 1.50467i −0.153715 + 0.0987865i
\(233\) −7.46742 1.07365i −0.489207 0.0703373i −0.106702 0.994291i \(-0.534029\pi\)
−0.382504 + 0.923954i \(0.624938\pi\)
\(234\) −18.0982 4.41502i −1.18312 0.288619i
\(235\) 2.39294 + 8.14961i 0.156098 + 0.531622i
\(236\) −6.94176 + 3.17020i −0.451870 + 0.206362i
\(237\) −7.32233 6.99074i −0.475636 0.454097i
\(238\) 0.0746582 + 0.519259i 0.00483937 + 0.0336586i
\(239\) −2.44654 + 8.33216i −0.158254 + 0.538962i −1.00000 0.000911481i \(-0.999710\pi\)
0.841746 + 0.539874i \(0.181528\pi\)
\(240\) 1.41025 + 1.00559i 0.0910310 + 0.0649104i
\(241\) 15.0060 23.3498i 0.966624 1.50410i 0.106309 0.994333i \(-0.466097\pi\)
0.860315 0.509763i \(-0.170267\pi\)
\(242\) 3.51476 5.46908i 0.225938 0.351566i
\(243\) 15.1373 + 3.72337i 0.971055 + 0.238854i
\(244\) −2.36033 + 8.03855i −0.151105 + 0.514616i
\(245\) −0.994164 6.91456i −0.0635148 0.441755i
\(246\) 15.2397 15.9626i 0.971649 1.01774i
\(247\) −15.0344 + 6.86598i −0.956616 + 0.436872i
\(248\) 0.397138 + 1.35253i 0.0252183 + 0.0858855i
\(249\) 13.9224 + 4.82853i 0.882297 + 0.305996i
\(250\) −0.989821 0.142315i −0.0626018 0.00900078i
\(251\) 2.23203 1.43444i 0.140885 0.0905411i −0.468300 0.883570i \(-0.655133\pi\)
0.609184 + 0.793029i \(0.291497\pi\)
\(252\) 0.0675237 + 0.352765i 0.00425359 + 0.0222221i
\(253\) 10.1717 + 0.108925i 0.639487 + 0.00684808i
\(254\) 5.35065i 0.335730i
\(255\) −4.68768 5.96869i −0.293554 0.373774i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −7.67342 3.50433i −0.478655 0.218594i 0.161452 0.986881i \(-0.448382\pi\)
−0.640106 + 0.768286i \(0.721110\pi\)
\(258\) −1.78519 4.46745i −0.111141 0.278131i
\(259\) 0.340122 + 0.744764i 0.0211342 + 0.0462774i
\(260\) 4.06646 + 4.69295i 0.252191 + 0.291044i
\(261\) 7.89364 2.72076i 0.488604 0.168411i
\(262\) 14.3080 + 4.20120i 0.883950 + 0.259551i
\(263\) −15.3640 + 17.7310i −0.947386 + 1.09334i 0.0481393 + 0.998841i \(0.484671\pi\)
−0.995525 + 0.0945005i \(0.969875\pi\)
\(264\) −3.26431 1.68551i −0.200905 0.103736i
\(265\) 8.81176 + 5.66297i 0.541302 + 0.347874i
\(266\) 0.240829 + 0.208679i 0.0147662 + 0.0127949i
\(267\) −2.85438 + 14.7593i −0.174685 + 0.903256i
\(268\) 11.3424 1.63079i 0.692847 0.0996163i
\(269\) 5.95320 5.15848i 0.362973 0.314518i −0.454212 0.890894i \(-0.650079\pi\)
0.817185 + 0.576376i \(0.195534\pi\)
\(270\) −3.39524 3.93349i −0.206628 0.239384i
\(271\) 8.83511 2.59422i 0.536695 0.157588i −0.00214250 0.999998i \(-0.500682\pi\)
0.538837 + 0.842410i \(0.318864\pi\)
\(272\) 1.82025 3.98579i 0.110369 0.241674i
\(273\) −0.0620897 + 1.28618i −0.00375784 + 0.0778430i
\(274\) −2.97129 4.62342i −0.179502 0.279311i
\(275\) 2.12106 0.127905
\(276\) 0.695730 + 8.27744i 0.0418780 + 0.498243i
\(277\) −4.72243 −0.283743 −0.141872 0.989885i \(-0.545312\pi\)
−0.141872 + 0.989885i \(0.545312\pi\)
\(278\) 9.06603 + 14.1070i 0.543744 + 0.846082i
\(279\) −0.195834 4.22434i −0.0117243 0.252905i
\(280\) 0.0497348 0.108904i 0.00297222 0.00650826i
\(281\) −20.3087 + 5.96319i −1.21152 + 0.355734i −0.824246 0.566232i \(-0.808401\pi\)
−0.387272 + 0.921965i \(0.626583\pi\)
\(282\) 12.7452 7.34760i 0.758964 0.437543i
\(283\) −6.72286 + 5.82539i −0.399633 + 0.346284i −0.831374 0.555714i \(-0.812445\pi\)
0.431741 + 0.901998i \(0.357900\pi\)
\(284\) 13.3716 1.92254i 0.793457 0.114082i
\(285\) −4.52626 0.875357i −0.268113 0.0518517i
\(286\) −9.95402 8.62521i −0.588594 0.510019i
\(287\) −1.28331 0.824734i −0.0757515 0.0486825i
\(288\) 1.11854 2.78368i 0.0659104 0.164030i
\(289\) −1.44061 + 1.66255i −0.0847418 + 0.0977972i
\(290\) −2.67039 0.784097i −0.156811 0.0460438i
\(291\) 0.0227384 + 0.0939903i 0.00133295 + 0.00550981i
\(292\) 1.64607 + 1.89967i 0.0963290 + 0.111170i
\(293\) −6.92797 15.1701i −0.404736 0.886249i −0.996768 0.0803340i \(-0.974401\pi\)
0.592032 0.805915i \(-0.298326\pi\)
\(294\) −11.2357 + 4.48978i −0.655278 + 0.261849i
\(295\) −6.94176 3.17020i −0.404165 0.184576i
\(296\) 0.973252 6.76912i 0.0565691 0.393447i
\(297\) 8.31557 + 7.23336i 0.482518 + 0.419722i
\(298\) 10.5150i 0.609120i
\(299\) −4.55361 + 29.4303i −0.263342 + 1.70200i
\(300\) 0.163543 + 1.72431i 0.00944217 + 0.0995532i
\(301\) −0.279752 + 0.179785i −0.0161246 + 0.0103627i
\(302\) 3.57870 + 0.514539i 0.205931 + 0.0296084i
\(303\) 7.26680 20.9528i 0.417467 1.20371i
\(304\) −0.749876 2.55384i −0.0430084 0.146473i
\(305\) −7.62082 + 3.48031i −0.436367 + 0.199282i
\(306\) −8.13905 + 10.3225i −0.465278 + 0.590100i
\(307\) 2.96643 + 20.6319i 0.169303 + 1.17753i 0.880330 + 0.474362i \(0.157321\pi\)
−0.711027 + 0.703165i \(0.751770\pi\)
\(308\) −0.0715431 + 0.243653i −0.00407655 + 0.0138834i
\(309\) −4.88688 + 6.85341i −0.278005 + 0.389877i
\(310\) −0.762102 + 1.18585i −0.0432845 + 0.0673519i
\(311\) −5.00021 + 7.78048i −0.283536 + 0.441191i −0.953584 0.301127i \(-0.902637\pi\)
0.670048 + 0.742318i \(0.266274\pi\)
\(312\) 6.24435 8.75715i 0.353517 0.495776i
\(313\) −2.65623 + 9.04628i −0.150139 + 0.511326i −0.999874 0.0158842i \(-0.994944\pi\)
0.849735 + 0.527210i \(0.176762\pi\)
\(314\) 1.85187 + 12.8800i 0.104507 + 0.726861i
\(315\) −0.222383 + 0.282043i −0.0125299 + 0.0158913i
\(316\) 5.31667 2.42804i 0.299086 0.136588i
\(317\) 3.84068 + 13.0802i 0.215714 + 0.734654i 0.994253 + 0.107058i \(0.0341430\pi\)
−0.778539 + 0.627597i \(0.784039\pi\)
\(318\) 5.94474 17.1409i 0.333365 0.961211i
\(319\) 5.84309 + 0.840109i 0.327150 + 0.0470371i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) 2.39929 + 25.2968i 0.133915 + 1.41193i
\(322\) 0.552614 0.155854i 0.0307960 0.00868542i
\(323\) 11.6628i 0.648934i
\(324\) −5.23918 + 7.31785i −0.291066 + 0.406547i
\(325\) −0.883727 + 6.14646i −0.0490203 + 0.340944i
\(326\) −1.11253 0.508076i −0.0616174 0.0281397i
\(327\) −25.8397 + 10.3256i −1.42894 + 0.571004i
\(328\) 5.29309 + 11.5903i 0.292262 + 0.639965i
\(329\) −0.665919 0.768512i −0.0367133 0.0423694i
\(330\) −0.863852 3.57078i −0.0475535 0.196565i
\(331\) −29.9560 8.79586i −1.64653 0.483464i −0.678562 0.734543i \(-0.737397\pi\)
−0.967967 + 0.251079i \(0.919215\pi\)
\(332\) −5.57143 + 6.42977i −0.305772 + 0.352879i
\(333\) −7.64936 + 19.0368i −0.419182 + 1.04321i
\(334\) −6.64233 4.26877i −0.363452 0.233577i
\(335\) 8.66015 + 7.50407i 0.473155 + 0.409991i
\(336\) −0.203594 0.0393741i −0.0111070 0.00214803i
\(337\) −13.1609 + 1.89226i −0.716922 + 0.103078i −0.491115 0.871094i \(-0.663411\pi\)
−0.225806 + 0.974172i \(0.572502\pi\)
\(338\) 19.3169 16.7382i 1.05070 0.910436i
\(339\) 14.5083 8.36404i 0.787982 0.454272i
\(340\) 4.20427 1.23449i 0.228009 0.0669494i
\(341\) 1.24205 2.71971i 0.0672608 0.147281i
\(342\) 0.369775 + 7.97641i 0.0199951 + 0.431315i
\(343\) 0.905253 + 1.40860i 0.0488791 + 0.0760573i
\(344\) 2.77759 0.149758
\(345\) −5.80006 + 5.94637i −0.312265 + 0.320142i
\(346\) 6.03507 0.324447
\(347\) 5.23677 + 8.14857i 0.281124 + 0.437438i 0.952886 0.303330i \(-0.0980983\pi\)
−0.671761 + 0.740768i \(0.734462\pi\)
\(348\) −0.232438 + 4.81491i −0.0124600 + 0.258106i
\(349\) 5.11188 11.1935i 0.273633 0.599172i −0.722066 0.691824i \(-0.756807\pi\)
0.995699 + 0.0926523i \(0.0295345\pi\)
\(350\) 0.114873 0.0337299i 0.00614024 0.00180294i
\(351\) −24.4256 + 21.0833i −1.30374 + 1.12534i
\(352\) 1.60299 1.38900i 0.0854396 0.0740339i
\(353\) −19.5945 + 2.81727i −1.04291 + 0.149948i −0.642420 0.766352i \(-0.722070\pi\)
−0.400491 + 0.916301i \(0.631161\pi\)
\(354\) −2.50979 + 12.9775i −0.133394 + 0.689746i
\(355\) 10.2095 + 8.84656i 0.541863 + 0.469527i
\(356\) −7.30140 4.69232i −0.386973 0.248693i
\(357\) 0.807358 + 0.416874i 0.0427299 + 0.0220633i
\(358\) 8.37856 9.66937i 0.442820 0.511042i
\(359\) 5.39953 + 1.58545i 0.284976 + 0.0836766i 0.421097 0.907016i \(-0.361645\pi\)
−0.136120 + 0.990692i \(0.543463\pi\)
\(360\) 2.83625 0.977590i 0.149484 0.0515235i
\(361\) −7.80304 9.00518i −0.410686 0.473957i
\(362\) −9.05115 19.8192i −0.475718 1.04168i
\(363\) −4.17835 10.4563i −0.219306 0.548814i
\(364\) −0.676257 0.308836i −0.0354455 0.0161874i
\(365\) −0.357726 + 2.48804i −0.0187242 + 0.130230i
\(366\) 8.96282 + 11.4121i 0.468494 + 0.596521i
\(367\) 29.7868i 1.55486i 0.628970 + 0.777429i \(0.283477\pi\)
−0.628970 + 0.777429i \(0.716523\pi\)
\(368\) −4.58683 1.40034i −0.239105 0.0729977i
\(369\) −7.18630 37.5435i −0.374104 1.95444i
\(370\) 5.75310 3.69729i 0.299089 0.192213i
\(371\) −1.24128 0.178469i −0.0644441 0.00926567i
\(372\) 2.30675 + 0.800021i 0.119600 + 0.0414792i
\(373\) 6.64516 + 22.6313i 0.344073 + 1.17181i 0.931868 + 0.362797i \(0.118178\pi\)
−0.587795 + 0.809010i \(0.700004\pi\)
\(374\) −8.45411 + 3.86086i −0.437151 + 0.199640i
\(375\) −1.19605 + 1.25278i −0.0617638 + 0.0646934i
\(376\) 1.20877 + 8.40721i 0.0623377 + 0.433569i
\(377\) −4.86898 + 16.5822i −0.250765 + 0.854028i
\(378\) 0.565386 + 0.259511i 0.0290803 + 0.0133478i
\(379\) −18.6993 + 29.0968i −0.960521 + 1.49460i −0.0939310 + 0.995579i \(0.529943\pi\)
−0.866590 + 0.499021i \(0.833693\pi\)
\(380\) 1.43900 2.23913i 0.0738192 0.114865i
\(381\) −7.54574 5.38055i −0.386580 0.275654i
\(382\) −3.22180 + 10.9725i −0.164842 + 0.561400i
\(383\) 0.383413 + 2.66669i 0.0195915 + 0.136262i 0.997270 0.0738465i \(-0.0235275\pi\)
−0.977678 + 0.210108i \(0.932618\pi\)
\(384\) 1.25278 + 1.19605i 0.0639308 + 0.0610357i
\(385\) −0.230992 + 0.105490i −0.0117724 + 0.00537629i
\(386\) 2.77148 + 9.43880i 0.141065 + 0.480422i
\(387\) −8.09537 1.97484i −0.411511 0.100387i
\(388\) −0.0552625 0.00794554i −0.00280553 0.000403374i
\(389\) 10.7704 6.92172i 0.546082 0.350945i −0.238332 0.971184i \(-0.576601\pi\)
0.784413 + 0.620238i \(0.212964\pi\)
\(390\) 10.7074 1.01555i 0.542190 0.0514242i
\(391\) 17.5556 + 11.5498i 0.887825 + 0.584098i
\(392\) 6.98567i 0.352829i
\(393\) 20.3126 15.9531i 1.02464 0.804727i
\(394\) −2.34958 + 16.3417i −0.118370 + 0.823281i
\(395\) 5.31667 + 2.42804i 0.267510 + 0.122168i
\(396\) −5.65953 + 2.90857i −0.284402 + 0.146161i
\(397\) −14.1320 30.9448i −0.709266 1.55307i −0.828363 0.560192i \(-0.810727\pi\)
0.119097 0.992883i \(-0.462000\pi\)
\(398\) 4.38056 + 5.05544i 0.219578 + 0.253406i
\(399\) 0.536464 0.129783i 0.0268568 0.00649726i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) 22.8879 26.4141i 1.14297 1.31906i 0.202457 0.979291i \(-0.435107\pi\)
0.940511 0.339764i \(-0.110347\pi\)
\(402\) 9.10594 17.6355i 0.454163 0.879577i
\(403\) 7.36375 + 4.73239i 0.366814 + 0.235737i
\(404\) 9.67662 + 8.38484i 0.481430 + 0.417161i
\(405\) −8.96140 + 0.832665i −0.445295 + 0.0413754i
\(406\) 0.329813 0.0474199i 0.0163683 0.00235341i
\(407\) −10.9624 + 9.49898i −0.543386 + 0.470847i
\(408\) −3.79053 6.57507i −0.187659 0.325514i
\(409\) 12.2538 3.59804i 0.605912 0.177912i 0.0356357 0.999365i \(-0.488654\pi\)
0.570276 + 0.821453i \(0.306836\pi\)
\(410\) −5.29309 + 11.5903i −0.261407 + 0.572402i
\(411\) −9.50806 0.458997i −0.468998 0.0226407i
\(412\) −2.62737 4.08826i −0.129441 0.201414i
\(413\) 0.913654 0.0449580
\(414\) 12.3728 + 7.34253i 0.608092 + 0.360866i
\(415\) −8.50780 −0.417632
\(416\) 3.35720 + 5.22390i 0.164600 + 0.256123i
\(417\) 29.0110 + 1.40050i 1.42068 + 0.0685826i
\(418\) −2.34524 + 5.13536i −0.114710 + 0.251179i
\(419\) 4.31541 1.26712i 0.210822 0.0619028i −0.174616 0.984637i \(-0.555869\pi\)
0.385438 + 0.922734i \(0.374050\pi\)
\(420\) −0.103569 0.179651i −0.00505364 0.00876605i
\(421\) −8.52085 + 7.38336i −0.415281 + 0.359843i −0.837300 0.546744i \(-0.815867\pi\)
0.422019 + 0.906587i \(0.361322\pi\)
\(422\) −17.1728 + 2.46908i −0.835961 + 0.120193i
\(423\) 2.45445 25.3625i 0.119339 1.23317i
\(424\) 7.91614 + 6.85937i 0.384442 + 0.333121i
\(425\) 3.68618 + 2.36896i 0.178806 + 0.114912i
\(426\) 10.7350 20.7905i 0.520114 1.00730i
\(427\) 0.656845 0.758040i 0.0317870 0.0366841i
\(428\) −14.0764 4.13321i −0.680409 0.199786i
\(429\) −22.1733 + 5.36423i −1.07054 + 0.258987i
\(430\) 1.81893 + 2.09916i 0.0877168 + 0.101231i
\(431\) 11.8136 + 25.8683i 0.569043 + 1.24603i 0.947305 + 0.320332i \(0.103794\pi\)
−0.378263 + 0.925698i \(0.623478\pi\)
\(432\) −2.80089 4.37664i −0.134758 0.210571i
\(433\) 13.9869 + 6.38760i 0.672167 + 0.306968i 0.722105 0.691784i \(-0.243175\pi\)
−0.0499375 + 0.998752i \(0.515902\pi\)
\(434\) 0.0240177 0.167047i 0.00115289 0.00801851i
\(435\) −3.79108 + 2.97743i −0.181768 + 0.142757i
\(436\) 16.0656i 0.769401i
\(437\) 12.6537 1.68123i 0.605307 0.0804242i
\(438\) 4.33427 0.411085i 0.207099 0.0196424i
\(439\) −7.54639 + 4.84977i −0.360170 + 0.231467i −0.708193 0.706019i \(-0.750489\pi\)
0.348023 + 0.937486i \(0.386853\pi\)
\(440\) 2.09947 + 0.301858i 0.100088 + 0.0143905i
\(441\) −4.96675 + 20.3599i −0.236512 + 0.969521i
\(442\) −7.66574 26.1071i −0.364622 1.24179i
\(443\) −11.4770 + 5.24135i −0.545287 + 0.249024i −0.668959 0.743299i \(-0.733260\pi\)
0.123672 + 0.992323i \(0.460533\pi\)
\(444\) −8.56743 8.17946i −0.406592 0.388180i
\(445\) −1.23518 8.59085i −0.0585530 0.407245i
\(446\) −1.41540 + 4.82042i −0.0670212 + 0.228253i
\(447\) 14.8288 + 10.5738i 0.701378 + 0.500123i
\(448\) 0.0647272 0.100717i 0.00305807 0.00475845i
\(449\) −9.09648 + 14.1544i −0.429290 + 0.667988i −0.986756 0.162212i \(-0.948137\pi\)
0.557466 + 0.830199i \(0.311774\pi\)
\(450\) 2.59616 + 1.50331i 0.122384 + 0.0708667i
\(451\) 7.61407 25.9312i 0.358533 1.22105i
\(452\) 1.37599 + 9.57022i 0.0647211 + 0.450145i
\(453\) 4.32432 4.52943i 0.203174 0.212811i
\(454\) −1.82804 + 0.834838i −0.0857941 + 0.0391809i
\(455\) −0.209451 0.713325i −0.00981922 0.0334412i
\(456\) −4.35562 1.51060i −0.203970 0.0707404i
\(457\) −17.6570 2.53870i −0.825962 0.118755i −0.283645 0.958929i \(-0.591544\pi\)
−0.542317 + 0.840174i \(0.682453\pi\)
\(458\) 18.3671 11.8038i 0.858240 0.551557i
\(459\) 6.37280 + 21.8583i 0.297457 + 1.02026i
\(460\) −1.94543 4.38352i −0.0907063 0.204383i
\(461\) 15.9618i 0.743415i −0.928350 0.371707i \(-0.878772\pi\)
0.928350 0.371707i \(-0.121228\pi\)
\(462\) 0.271669 + 0.345908i 0.0126392 + 0.0160931i
\(463\) −4.46497 + 31.0546i −0.207505 + 1.44323i 0.573758 + 0.819025i \(0.305485\pi\)
−0.781263 + 0.624203i \(0.785424\pi\)
\(464\) −2.53162 1.15615i −0.117528 0.0536730i
\(465\) 0.905986 + 2.26723i 0.0420141 + 0.105140i
\(466\) −3.13398 6.86245i −0.145179 0.317897i
\(467\) −19.6588 22.6875i −0.909702 1.04985i −0.998551 0.0538073i \(-0.982864\pi\)
0.0888491 0.996045i \(-0.471681\pi\)
\(468\) −6.07050 17.6122i −0.280609 0.814122i
\(469\) −1.31634 0.386512i −0.0607828 0.0178474i
\(470\) −5.56216 + 6.41908i −0.256563 + 0.296090i
\(471\) 20.0262 + 10.3404i 0.922759 + 0.476460i
\(472\) −6.41994 4.12584i −0.295502 0.189907i
\(473\) −4.45245 3.85807i −0.204724 0.177394i
\(474\) 1.92223 9.93941i 0.0882912 0.456532i
\(475\) 2.63457 0.378794i 0.120882 0.0173802i
\(476\) −0.396465 + 0.343539i −0.0181719 + 0.0157461i
\(477\) −18.1949 25.6202i −0.833086 1.17307i
\(478\) −8.33216 + 2.44654i −0.381104 + 0.111902i
\(479\) 7.81400 17.1103i 0.357031 0.781788i −0.642844 0.765997i \(-0.722246\pi\)
0.999875 0.0157917i \(-0.00502687\pi\)
\(480\) −0.0835168 + 1.73004i −0.00381200 + 0.0789650i
\(481\) −22.9589 35.7248i −1.04684 1.62891i
\(482\) 27.7560 1.26425
\(483\) 0.335909 0.936047i 0.0152844 0.0425916i
\(484\) 6.50111 0.295505
\(485\) −0.0301844 0.0469678i −0.00137060 0.00213270i
\(486\) 5.05152 + 14.7473i 0.229142 + 0.668950i
\(487\) 0.725578 1.58879i 0.0328791 0.0719952i −0.892480 0.451087i \(-0.851036\pi\)
0.925359 + 0.379092i \(0.123764\pi\)
\(488\) −8.03855 + 2.36033i −0.363888 + 0.106847i
\(489\) −1.83526 + 1.05803i −0.0829932 + 0.0478457i
\(490\) 5.27941 4.57464i 0.238500 0.206661i
\(491\) 2.47002 0.355135i 0.111470 0.0160270i −0.0863539 0.996265i \(-0.527522\pi\)
0.197824 + 0.980238i \(0.436612\pi\)
\(492\) 21.6678 + 4.19044i 0.976859 + 0.188920i
\(493\) 9.21637 + 7.98603i 0.415084 + 0.359673i
\(494\) −13.9042 8.93571i −0.625581 0.402037i
\(495\) −5.90435 2.37248i −0.265381 0.106635i
\(496\) −0.923109 + 1.06532i −0.0414488 + 0.0478345i
\(497\) −1.55183 0.455660i −0.0696093 0.0204391i
\(498\) 3.46500 + 14.3228i 0.155271 + 0.641819i
\(499\) 6.71830 + 7.75333i 0.300752 + 0.347087i 0.885930 0.463818i \(-0.153521\pi\)
−0.585178 + 0.810905i \(0.698975\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) −12.6995 + 5.07471i −0.567370 + 0.226721i
\(502\) 2.41346 + 1.10219i 0.107718 + 0.0491931i
\(503\) −2.49129 + 17.3273i −0.111081 + 0.772585i 0.855791 + 0.517322i \(0.173071\pi\)
−0.966872 + 0.255263i \(0.917838\pi\)
\(504\) −0.260259 + 0.247524i −0.0115928 + 0.0110256i
\(505\) 12.8040i 0.569771i
\(506\) 5.40758 + 8.61583i 0.240396 + 0.383021i
\(507\) −4.18014 44.0732i −0.185647 1.95736i
\(508\) 4.50126 2.89278i 0.199711 0.128346i
\(509\) −37.4827 5.38920i −1.66139 0.238872i −0.753309 0.657666i \(-0.771544\pi\)
−0.908081 + 0.418794i \(0.862453\pi\)
\(510\) 2.48683 7.17044i 0.110119 0.317513i
\(511\) −0.0847841 0.288748i −0.00375063 0.0127735i
\(512\) −0.909632 + 0.415415i −0.0402004 + 0.0183589i
\(513\) 11.6205 + 7.49950i 0.513060 + 0.331111i
\(514\) −1.20053 8.34987i −0.0529531 0.368297i
\(515\) 1.36914 4.66287i 0.0603317 0.205471i
\(516\) 2.79311 3.91708i 0.122960 0.172440i
\(517\) 9.73994 15.1556i 0.428362 0.666545i
\(518\) −0.442651 + 0.688779i −0.0194490 + 0.0302632i
\(519\) 6.06879 8.51093i 0.266390 0.373589i
\(520\) −1.74946 + 5.95813i −0.0767191 + 0.261281i
\(521\) 2.49339 + 17.3419i 0.109238 + 0.759764i 0.968641 + 0.248465i \(0.0799262\pi\)
−0.859403 + 0.511298i \(0.829165\pi\)
\(522\) 6.55647 + 5.16960i 0.286969 + 0.226267i
\(523\) 17.4964 7.99032i 0.765062 0.349392i 0.00563464 0.999984i \(-0.498206\pi\)
0.759427 + 0.650592i \(0.225479\pi\)
\(524\) 4.20120 + 14.3080i 0.183530 + 0.625047i
\(525\) 0.0679478 0.195918i 0.00296548 0.00855057i
\(526\) −23.2227 3.33892i −1.01256 0.145584i
\(527\) 5.19613 3.33935i 0.226347 0.145464i
\(528\) −0.346885 3.65737i −0.0150962 0.159167i
\(529\) 10.0004 20.7121i 0.434799 0.900527i
\(530\) 10.4746i 0.454986i
\(531\) 15.7777 + 16.5894i 0.684692 + 0.719920i
\(532\) −0.0453503 + 0.315419i −0.00196619 + 0.0136751i
\(533\) 71.9716 + 32.8683i 3.11743 + 1.42368i
\(534\) −13.9595 + 5.57823i −0.604088 + 0.241394i
\(535\) −6.09442 13.3449i −0.263485 0.576951i
\(536\) 7.50407 + 8.66015i 0.324126 + 0.374062i
\(537\) −5.21083 21.5392i −0.224864 0.929486i
\(538\) 7.55813 + 2.21927i 0.325854 + 0.0956794i
\(539\) −9.70308 + 11.1980i −0.417941 + 0.482330i
\(540\) 1.47345 4.98286i 0.0634074 0.214428i
\(541\) −2.37716 1.52771i −0.102202 0.0656814i 0.488541 0.872541i \(-0.337529\pi\)
−0.590744 + 0.806859i \(0.701166\pi\)
\(542\) 6.95902 + 6.03002i 0.298915 + 0.259012i
\(543\) −37.0517 7.16563i −1.59004 0.307507i
\(544\) 4.33717 0.623590i 0.185954 0.0267362i
\(545\) 12.1415 10.5207i 0.520087 0.450658i
\(546\) −1.11557 + 0.643127i −0.0477420 + 0.0275233i
\(547\) 25.6662 7.53627i 1.09741 0.322228i 0.317586 0.948230i \(-0.397128\pi\)
0.779822 + 0.626002i \(0.215310\pi\)
\(548\) 2.28307 4.99922i 0.0975278 0.213556i
\(549\) 25.1068 1.16391i 1.07153 0.0496747i
\(550\) 1.14673 + 1.78435i 0.0488968 + 0.0760849i
\(551\) 7.40773 0.315580
\(552\) −6.58728 + 5.06041i −0.280373 + 0.215385i
\(553\) −0.699764 −0.0297570
\(554\) −2.55314 3.97276i −0.108473 0.168787i
\(555\) 0.571148 11.8312i 0.0242439 0.502208i
\(556\) −6.96611 + 15.2537i −0.295429 + 0.646899i
\(557\) −33.3971 + 9.80628i −1.41508 + 0.415505i −0.897835 0.440331i \(-0.854861\pi\)
−0.517246 + 0.855837i \(0.673043\pi\)
\(558\) 3.44787 2.44860i 0.145960 0.103657i
\(559\) 13.0351 11.2950i 0.551325 0.477726i
\(560\) 0.118504 0.0170384i 0.00500773 0.000720003i
\(561\) −3.05657 + 15.8048i −0.129049 + 0.667279i
\(562\) −15.9963 13.8609i −0.674763 0.584685i
\(563\) 9.45898 + 6.07892i 0.398649 + 0.256196i 0.724570 0.689201i \(-0.242038\pi\)
−0.325922 + 0.945397i \(0.605675\pi\)
\(564\) 13.0718 + 6.74951i 0.550420 + 0.284206i
\(565\) −6.33161 + 7.30707i −0.266373 + 0.307411i
\(566\) −8.53529 2.50619i −0.358765 0.105343i
\(567\) 0.934519 0.536374i 0.0392461 0.0225256i
\(568\) 8.84656 + 10.2095i 0.371194 + 0.428380i
\(569\) 3.14252 + 6.88117i 0.131741 + 0.288474i 0.963994 0.265923i \(-0.0856765\pi\)
−0.832253 + 0.554396i \(0.812949\pi\)
\(570\) −1.71068 4.28099i −0.0716527 0.179311i
\(571\) 20.6224 + 9.41793i 0.863020 + 0.394128i 0.797209 0.603704i \(-0.206309\pi\)
0.0658116 + 0.997832i \(0.479036\pi\)
\(572\) 1.87444 13.0370i 0.0783742 0.545104i
\(573\) 12.2341 + 15.5773i 0.511085 + 0.650751i
\(574\) 1.52548i 0.0636721i
\(575\) 2.03886 4.34086i 0.0850263 0.181026i
\(576\) 2.94651 0.563999i 0.122771 0.0235000i
\(577\) −31.2320 + 20.0716i −1.30021 + 0.835592i −0.993234 0.116126i \(-0.962952\pi\)
−0.306972 + 0.951719i \(0.599316\pi\)
\(578\) −2.17748 0.313075i −0.0905713 0.0130222i
\(579\) 16.0980 + 5.58306i 0.669010 + 0.232024i
\(580\) −0.784097 2.67039i −0.0325579 0.110882i
\(581\) 0.926533 0.423134i 0.0384391 0.0175545i
\(582\) −0.0667764 + 0.0699437i −0.00276797 + 0.00289926i
\(583\) −3.16183 21.9910i −0.130950 0.910775i
\(584\) −0.708169 + 2.41180i −0.0293042 + 0.0998011i
\(585\) 9.33505 16.1213i 0.385957 0.666533i
\(586\) 9.01638 14.0298i 0.372463 0.579564i
\(587\) 10.1053 15.7241i 0.417088 0.649002i −0.567604 0.823302i \(-0.692130\pi\)
0.984693 + 0.174299i \(0.0557660\pi\)
\(588\) −9.85151 7.02469i −0.406269 0.289694i
\(589\) 1.05705 3.59997i 0.0435548 0.148334i
\(590\) −1.08606 7.55372i −0.0447124 0.310982i
\(591\) 20.6831 + 19.7464i 0.850788 + 0.812260i
\(592\) 6.22072 2.84091i 0.255670 0.116761i
\(593\) −6.16229 20.9868i −0.253055 0.861826i −0.983814 0.179191i \(-0.942652\pi\)
0.730759 0.682635i \(-0.239166\pi\)
\(594\) −1.58935 + 10.9061i −0.0652120 + 0.447485i
\(595\) −0.519259 0.0746582i −0.0212875 0.00306069i
\(596\) −8.84582 + 5.68486i −0.362339 + 0.232861i
\(597\) 11.5345 1.09399i 0.472074 0.0447740i
\(598\) −27.2202 + 12.0805i −1.11312 + 0.494007i
\(599\) 41.2214i 1.68426i −0.539274 0.842131i \(-0.681301\pi\)
0.539274 0.842131i \(-0.318699\pi\)
\(600\) −1.36217 + 1.06981i −0.0556102 + 0.0436750i
\(601\) 2.40048 16.6957i 0.0979178 0.681033i −0.880447 0.474145i \(-0.842757\pi\)
0.978365 0.206888i \(-0.0663337\pi\)
\(602\) −0.302490 0.138143i −0.0123286 0.00563028i
\(603\) −15.7135 30.5756i −0.639904 1.24514i
\(604\) 1.50193 + 3.28878i 0.0611128 + 0.133818i
\(605\) 4.25732 + 4.91321i 0.173085 + 0.199750i
\(606\) 21.5554 5.21474i 0.875627 0.211834i
\(607\) −24.3361 7.14572i −0.987771 0.290036i −0.252342 0.967638i \(-0.581201\pi\)
−0.735428 + 0.677602i \(0.763019\pi\)
\(608\) 1.74302 2.01155i 0.0706887 0.0815791i
\(609\) 0.264782 0.512802i 0.0107295 0.0207798i
\(610\) −7.04795 4.52944i −0.285363 0.183392i
\(611\) 39.8603 + 34.5392i 1.61258 + 1.39730i
\(612\) −13.0842 1.26622i −0.528896 0.0511838i
\(613\) −0.927911 + 0.133413i −0.0374780 + 0.00538852i −0.161028 0.986950i \(-0.551481\pi\)
0.123550 + 0.992338i \(0.460572\pi\)
\(614\) −15.7529 + 13.6500i −0.635736 + 0.550869i
\(615\) 11.0225 + 19.1196i 0.444468 + 0.770976i
\(616\) −0.243653 + 0.0715431i −0.00981708 + 0.00288255i
\(617\) 16.1128 35.2821i 0.648676 1.42040i −0.244032 0.969767i \(-0.578470\pi\)
0.892708 0.450635i \(-0.148802\pi\)
\(618\) −8.40750 0.405869i −0.338199 0.0163264i
\(619\) −14.4641 22.5065i −0.581360 0.904614i 0.418634 0.908155i \(-0.362509\pi\)
−0.999994 + 0.00354133i \(0.998873\pi\)
\(620\) −1.40963 −0.0566120
\(621\) 22.7967 10.0652i 0.914802 0.403903i
\(622\) −9.24868 −0.370838
\(623\) 0.561779 + 0.874146i 0.0225072 + 0.0350219i
\(624\) 10.7429 + 0.518611i 0.430062 + 0.0207610i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) −9.04628 + 2.65623i −0.361562 + 0.106164i
\(627\) 4.88378 + 8.47142i 0.195039 + 0.338316i
\(628\) −9.83416 + 8.52135i −0.392426 + 0.340039i
\(629\) −29.6607 + 4.26456i −1.18265 + 0.170039i
\(630\) −0.357499 0.0345969i −0.0142431 0.00137837i
\(631\) 18.0587 + 15.6480i 0.718906 + 0.622936i 0.935500 0.353326i \(-0.114949\pi\)
−0.216594 + 0.976262i \(0.569495\pi\)
\(632\) 4.91700 + 3.15997i 0.195588 + 0.125697i
\(633\) −13.7868 + 26.7008i −0.547975 + 1.06126i
\(634\) −8.92730 + 10.3026i −0.354548 + 0.409170i
\(635\) 5.13391 + 1.50745i 0.203733 + 0.0598215i
\(636\) 17.6338 4.26601i 0.699225 0.169158i
\(637\) −28.4070 32.7834i −1.12552 1.29892i
\(638\) 2.45227 + 5.36972i 0.0970862 + 0.212589i
\(639\) −18.5247 36.0457i −0.732827 1.42594i
\(640\) −0.909632 0.415415i −0.0359564 0.0164207i
\(641\) −6.98479 + 48.5803i −0.275883 + 1.91881i 0.105560 + 0.994413i \(0.466336\pi\)
−0.381443 + 0.924392i \(0.624573\pi\)
\(642\) −19.9839 + 15.6949i −0.788701 + 0.619428i
\(643\) 49.3411i 1.94582i −0.231182 0.972911i \(-0.574259\pi\)
0.231182 0.972911i \(-0.425741\pi\)
\(644\) 0.429879 + 0.380628i 0.0169396 + 0.0149988i
\(645\) 4.78943 0.454255i 0.188584 0.0178863i
\(646\) −9.81135 + 6.30537i −0.386022 + 0.248081i
\(647\) 6.18474 + 0.889231i 0.243147 + 0.0349593i 0.262811 0.964847i \(-0.415350\pi\)
−0.0196637 + 0.999807i \(0.506260\pi\)
\(648\) −8.98869 0.451151i −0.353109 0.0177229i
\(649\) 4.56030 + 15.5310i 0.179008 + 0.609644i
\(650\) −5.64851 + 2.57959i −0.221553 + 0.101180i
\(651\) −0.211426 0.201851i −0.00828642 0.00791117i
\(652\) −0.174059 1.21061i −0.00681667 0.0474110i
\(653\) −4.40891 + 15.0154i −0.172534 + 0.587597i 0.827138 + 0.561999i \(0.189967\pi\)
−0.999672 + 0.0255987i \(0.991851\pi\)
\(654\) −22.6564 16.1553i −0.885935 0.631723i
\(655\) −8.06205 + 12.5448i −0.315010 + 0.490165i
\(656\) −6.88868 + 10.7190i −0.268958 + 0.418507i
\(657\) 3.77875 6.52577i 0.147423 0.254594i
\(658\) 0.286490 0.975696i 0.0111685 0.0380366i
\(659\) −1.69742 11.8058i −0.0661221 0.459889i −0.995803 0.0915234i \(-0.970826\pi\)
0.929681 0.368366i \(-0.120083\pi\)
\(660\) 2.53689 2.65723i 0.0987485 0.103432i
\(661\) −2.02407 + 0.924363i −0.0787273 + 0.0359536i −0.454390 0.890803i \(-0.650143\pi\)
0.375662 + 0.926757i \(0.377415\pi\)
\(662\) −8.79586 29.9560i −0.341861 1.16427i
\(663\) −44.5260 15.4424i −1.72925 0.599733i
\(664\) −8.42121 1.21079i −0.326806 0.0469876i
\(665\) −0.268076 + 0.172282i −0.0103955 + 0.00668080i
\(666\) −20.1504 + 3.85703i −0.780810 + 0.149457i
\(667\) 7.33597 11.1506i 0.284050 0.431754i
\(668\) 7.89576i 0.305496i
\(669\) 5.37466 + 6.84341i 0.207797 + 0.264582i
\(670\) −1.63079 + 11.3424i −0.0630029 + 0.438195i
\(671\) 16.1642 + 7.38195i 0.624013 + 0.284977i
\(672\) −0.0769476 0.192561i −0.00296832 0.00742822i
\(673\) −2.20456 4.82732i −0.0849796 0.186079i 0.862371 0.506276i \(-0.168978\pi\)
−0.947351 + 0.320197i \(0.896251\pi\)
\(674\) −8.70720 10.0486i −0.335389 0.387060i
\(675\) 4.73070 2.14952i 0.182085 0.0827351i
\(676\) 24.5245 + 7.20105i 0.943251 + 0.276964i
\(677\) −10.2196 + 11.7941i −0.392772 + 0.453284i −0.917351 0.398078i \(-0.869677\pi\)
0.524579 + 0.851362i \(0.324223\pi\)
\(678\) 14.8800 + 7.68321i 0.571465 + 0.295072i
\(679\) 0.00562313 + 0.00361377i 0.000215796 + 0.000138684i
\(680\) 3.31152 + 2.86945i 0.126991 + 0.110038i
\(681\) −0.660926 + 3.41749i −0.0253267 + 0.130958i
\(682\) 2.95947 0.425507i 0.113324 0.0162935i
\(683\) −3.91677 + 3.39390i −0.149871 + 0.129864i −0.726569 0.687093i \(-0.758886\pi\)
0.576698 + 0.816957i \(0.304341\pi\)
\(684\) −6.51027 + 4.62345i −0.248926 + 0.176782i
\(685\) 5.27325 1.54837i 0.201481 0.0591600i
\(686\) −0.695574 + 1.52309i −0.0265571 + 0.0581520i
\(687\) 1.82343 37.7720i 0.0695680 1.44109i
\(688\) 1.50168 + 2.33666i 0.0572509 + 0.0890842i
\(689\) 65.0434 2.47796
\(690\) −8.13815 1.66448i −0.309814 0.0633655i
\(691\) −32.2431 −1.22659 −0.613293 0.789855i \(-0.710156\pi\)
−0.613293 + 0.789855i \(0.710156\pi\)
\(692\) 3.26280 + 5.07702i 0.124033 + 0.192999i
\(693\) 0.761002 0.0352790i 0.0289081 0.00134014i
\(694\) −4.02380 + 8.81090i −0.152741 + 0.334457i
\(695\) −16.0898 + 4.72438i −0.610320 + 0.179206i
\(696\) −4.17622 + 2.40760i −0.158299 + 0.0912597i
\(697\) 42.1944 36.5616i 1.59823 1.38487i
\(698\) 12.1802 1.75125i 0.461028 0.0662859i
\(699\) −12.8292 2.48111i −0.485246 0.0938443i
\(700\) 0.0904807 + 0.0784019i 0.00341985 + 0.00296331i
\(701\) 25.5107 + 16.3947i 0.963525 + 0.619220i 0.924971 0.380037i \(-0.124089\pi\)
0.0385535 + 0.999257i \(0.487725\pi\)
\(702\) −30.9419 9.14965i −1.16783 0.345331i
\(703\) −11.9200 + 13.7564i −0.449572 + 0.518833i
\(704\) 2.03514 + 0.597571i 0.0767023 + 0.0225218i
\(705\) 3.45924 + 14.2990i 0.130283 + 0.538530i
\(706\) −12.9636 14.9608i −0.487893 0.563059i
\(707\) −0.636804 1.39441i −0.0239495 0.0524421i
\(708\) −12.2743 + 4.90480i −0.461295 + 0.184334i
\(709\) 12.7028 + 5.80118i 0.477064 + 0.217868i 0.639410 0.768866i \(-0.279179\pi\)
−0.162346 + 0.986734i \(0.551906\pi\)
\(710\) −1.92254 + 13.3716i −0.0721517 + 0.501826i
\(711\) −12.0840 12.7058i −0.453187 0.476504i
\(712\) 8.67919i 0.325266i
\(713\) −4.37211 5.15623i −0.163737 0.193102i
\(714\) 0.0857945 + 0.904572i 0.00321078 + 0.0338527i
\(715\) 11.0802 7.12081i 0.414376 0.266303i
\(716\) 12.6642 + 1.82083i 0.473283 + 0.0680478i
\(717\) −4.92848 + 14.2106i −0.184057 + 0.530705i
\(718\) 1.58545 + 5.39953i 0.0591683 + 0.201509i
\(719\) −13.3975 + 6.11843i −0.499642 + 0.228179i −0.649262 0.760565i \(-0.724922\pi\)
0.149620 + 0.988744i \(0.452195\pi\)
\(720\) 2.35579 + 1.85748i 0.0877953 + 0.0692242i
\(721\) 0.0828018 + 0.575899i 0.00308370 + 0.0214476i
\(722\) 3.35700 11.4329i 0.124935 0.425489i
\(723\) 27.9111 39.1428i 1.03802 1.45574i
\(724\) 11.7796 18.3294i 0.437785 0.681207i
\(725\) 1.50467 2.34131i 0.0558821 0.0869542i
\(726\) 6.53743 9.16816i 0.242627 0.340262i
\(727\) 4.49913 15.3226i 0.166864 0.568285i −0.833023 0.553238i \(-0.813392\pi\)
0.999887 0.0150472i \(-0.00478987\pi\)
\(728\) −0.105803 0.735873i −0.00392130 0.0272733i
\(729\) 25.8770 + 7.70578i 0.958409 + 0.285399i
\(730\) −2.28647 + 1.04420i −0.0846260 + 0.0386474i
\(731\) −3.42889 11.6777i −0.126822 0.431917i
\(732\) −4.75481 + 13.7099i −0.175743 + 0.506731i
\(733\) 17.7318 + 2.54945i 0.654939 + 0.0941660i 0.461770 0.887000i \(-0.347214\pi\)
0.193169 + 0.981166i \(0.438124\pi\)
\(734\) −25.0583 + 16.1040i −0.924917 + 0.594408i
\(735\) −1.14246 12.0455i −0.0421402 0.444304i
\(736\) −1.30179 4.61577i −0.0479846 0.170140i
\(737\) 24.3053i 0.895296i
\(738\) 27.6984 26.3431i 1.01959 0.969701i
\(739\) 3.72427 25.9029i 0.136999 0.952852i −0.799120 0.601171i \(-0.794701\pi\)
0.936120 0.351681i \(-0.114390\pi\)
\(740\) 6.22072 + 2.84091i 0.228678 + 0.104434i
\(741\) −26.5835 + 10.6228i −0.976569 + 0.390237i
\(742\) −0.520949 1.14072i −0.0191247 0.0418772i
\(743\) −20.8176 24.0248i −0.763724 0.881385i 0.232098 0.972692i \(-0.425441\pi\)
−0.995823 + 0.0913074i \(0.970895\pi\)
\(744\) 0.574104 + 2.37309i 0.0210477 + 0.0870016i
\(745\) −10.0891 2.96243i −0.369636 0.108535i
\(746\) −15.4461 + 17.8257i −0.565520 + 0.652645i
\(747\) 23.6830 + 9.51628i 0.866516 + 0.348183i
\(748\) −7.81860 5.02471i −0.285876 0.183722i
\(749\) 1.32741 + 1.15021i 0.0485026 + 0.0420277i
\(750\) −1.70054 0.328876i −0.0620950 0.0120089i
\(751\) −27.1108 + 3.89795i −0.989288 + 0.142238i −0.617914 0.786245i \(-0.712022\pi\)
−0.371374 + 0.928484i \(0.621113\pi\)
\(752\) −6.41908 + 5.56216i −0.234080 + 0.202831i
\(753\) 3.98130 2.29522i 0.145087 0.0836425i
\(754\) −16.5822 + 4.86898i −0.603889 + 0.177318i
\(755\) −1.50193 + 3.28878i −0.0546609 + 0.119691i
\(756\) 0.0873566 + 0.615935i 0.00317713 + 0.0224014i
\(757\) 3.50177 + 5.44886i 0.127274 + 0.198042i 0.899043 0.437861i \(-0.144264\pi\)
−0.771768 + 0.635904i \(0.780628\pi\)
\(758\) −34.5874 −1.25627
\(759\) 17.5882 + 1.03795i 0.638413 + 0.0376752i
\(760\) 2.66166 0.0965486
\(761\) −28.2653 43.9817i −1.02462 1.59433i −0.781069 0.624445i \(-0.785325\pi\)
−0.243548 0.969889i \(-0.578311\pi\)
\(762\) 0.446869 9.25682i 0.0161884 0.335339i
\(763\) −0.799017 + 1.74960i −0.0289264 + 0.0633399i
\(764\) −10.9725 + 3.22180i −0.396970 + 0.116561i
\(765\) −7.61137 10.7176i −0.275190 0.387494i
\(766\) −2.03608 + 1.76427i −0.0735664 + 0.0637457i
\(767\) −46.9060 + 6.74407i −1.69368 + 0.243514i
\(768\) −0.328876 + 1.70054i −0.0118673 + 0.0613630i
\(769\) 12.2921 + 10.6512i 0.443264 + 0.384090i 0.847700 0.530476i \(-0.177987\pi\)
−0.404436 + 0.914566i \(0.632532\pi\)
\(770\) −0.213628 0.137290i −0.00769861 0.00494760i
\(771\) −12.9826 6.70348i −0.467558 0.241420i
\(772\) −6.44205 + 7.43452i −0.231854 + 0.267574i
\(773\) −32.1897 9.45175i −1.15778 0.339956i −0.354212 0.935165i \(-0.615251\pi\)
−0.803571 + 0.595209i