Properties

Label 390.2.bd.b.223.2
Level $390$
Weight $2$
Character 390.223
Analytic conductor $3.114$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 223.2
Root \(-0.709944 - 0.925217i\) of defining polynomial
Character \(\chi\) \(=\) 390.223
Dual form 390.2.bd.b.7.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(2.23567 + 0.0421887i) q^{5} +(0.258819 + 0.965926i) q^{6} +(1.27707 - 2.21194i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})\) \(q+(0.866025 - 0.500000i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(2.23567 + 0.0421887i) q^{5} +(0.258819 + 0.965926i) q^{6} +(1.27707 - 2.21194i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +(1.95724 - 1.08130i) q^{10} +(0.240573 - 0.897829i) q^{11} +(0.707107 + 0.707107i) q^{12} +(-1.91725 + 3.05354i) q^{13} -2.55413i q^{14} +(-0.619385 + 2.14857i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.84923 - 0.495499i) q^{17} -1.00000 q^{18} +(-0.321456 + 0.0861340i) q^{19} +(1.15437 - 1.91505i) q^{20} +(1.80604 + 1.80604i) q^{21} +(-0.240573 - 0.897829i) q^{22} +(1.92639 + 0.516175i) q^{23} +(0.965926 + 0.258819i) q^{24} +(4.99644 + 0.188640i) q^{25} +(-0.133619 + 3.60307i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-1.27707 - 2.21194i) q^{28} +(-1.58408 + 0.914569i) q^{29} +(0.537883 + 2.17041i) q^{30} +(-0.423885 + 0.423885i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.804972 + 0.464751i) q^{33} +(1.35373 - 1.35373i) q^{34} +(2.94842 - 4.89130i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(3.55220 + 6.15259i) q^{37} +(-0.235322 + 0.235322i) q^{38} +(-2.45328 - 2.64224i) q^{39} +(0.0421887 - 2.23567i) q^{40} +(-10.7484 - 2.88002i) q^{41} +(2.46710 + 0.661058i) q^{42} +(-0.371252 - 1.38553i) q^{43} +(-0.657257 - 0.657257i) q^{44} +(-1.91505 - 1.15437i) q^{45} +(1.92639 - 0.516175i) q^{46} -7.62342 q^{47} +(0.965926 - 0.258819i) q^{48} +(0.238207 + 0.412587i) q^{49} +(4.42136 - 2.33485i) q^{50} +1.91446i q^{51} +(1.68582 + 3.18716i) q^{52} +(-0.567895 - 0.567895i) q^{53} +(0.258819 - 0.965926i) q^{54} +(0.575719 - 1.99710i) q^{55} +(-2.21194 - 1.27707i) q^{56} -0.332796i q^{57} +(-0.914569 + 1.58408i) q^{58} +(-1.37659 - 5.13751i) q^{59} +(1.55103 + 1.61069i) q^{60} +(-5.39490 + 9.34424i) q^{61} +(-0.155153 + 0.579037i) q^{62} +(-2.21194 + 1.27707i) q^{63} -1.00000 q^{64} +(-4.41517 + 6.74583i) q^{65} +0.929501 q^{66} +(-11.9595 + 6.90482i) q^{67} +(0.495499 - 1.84923i) q^{68} +(-0.997174 + 1.72716i) q^{69} +(0.107756 - 5.71019i) q^{70} +(-3.55539 - 13.2689i) q^{71} +(-0.500000 + 0.866025i) q^{72} +16.1644i q^{73} +(6.15259 + 3.55220i) q^{74} +(-1.47539 + 4.77737i) q^{75} +(-0.0861340 + 0.321456i) q^{76} +(-1.67872 - 1.67872i) q^{77} +(-3.44572 - 1.06161i) q^{78} -10.6347i q^{79} +(-1.08130 - 1.95724i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-10.7484 + 2.88002i) q^{82} +6.12517 q^{83} +(2.46710 - 0.661058i) q^{84} +(4.15516 - 1.02976i) q^{85} +(-1.01428 - 1.01428i) q^{86} +(-0.473416 - 1.76681i) q^{87} +(-0.897829 - 0.240573i) q^{88} +(-6.90537 - 1.85029i) q^{89} +(-2.23567 - 0.0421887i) q^{90} +(4.30580 + 8.14043i) q^{91} +(1.41022 - 1.41022i) q^{92} +(-0.299732 - 0.519150i) q^{93} +(-6.60208 + 3.81171i) q^{94} +(-0.722304 + 0.179005i) q^{95} +(0.707107 - 0.707107i) q^{96} +(-1.94931 - 1.12544i) q^{97} +(0.412587 + 0.238207i) q^{98} +(-0.657257 + 0.657257i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 0.500000i 0.612372 0.353553i
\(3\) −0.258819 + 0.965926i −0.149429 + 0.557678i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 2.23567 + 0.0421887i 0.999822 + 0.0188674i
\(6\) 0.258819 + 0.965926i 0.105662 + 0.394338i
\(7\) 1.27707 2.21194i 0.482685 0.836036i −0.517117 0.855915i \(-0.672995\pi\)
0.999802 + 0.0198791i \(0.00632813\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.866025 0.500000i −0.288675 0.166667i
\(10\) 1.95724 1.08130i 0.618934 0.341937i
\(11\) 0.240573 0.897829i 0.0725354 0.270706i −0.920128 0.391618i \(-0.871915\pi\)
0.992663 + 0.120913i \(0.0385821\pi\)
\(12\) 0.707107 + 0.707107i 0.204124 + 0.204124i
\(13\) −1.91725 + 3.05354i −0.531751 + 0.846901i
\(14\) 2.55413i 0.682620i
\(15\) −0.619385 + 2.14857i −0.159925 + 0.554759i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.84923 0.495499i 0.448503 0.120176i −0.0274957 0.999622i \(-0.508753\pi\)
0.475999 + 0.879446i \(0.342087\pi\)
\(18\) −1.00000 −0.235702
\(19\) −0.321456 + 0.0861340i −0.0737472 + 0.0197605i −0.295504 0.955342i \(-0.595488\pi\)
0.221757 + 0.975102i \(0.428821\pi\)
\(20\) 1.15437 1.91505i 0.258125 0.428219i
\(21\) 1.80604 + 1.80604i 0.394111 + 0.394111i
\(22\) −0.240573 0.897829i −0.0512903 0.191418i
\(23\) 1.92639 + 0.516175i 0.401681 + 0.107630i 0.454003 0.891000i \(-0.349996\pi\)
−0.0523222 + 0.998630i \(0.516662\pi\)
\(24\) 0.965926 + 0.258819i 0.197169 + 0.0528312i
\(25\) 4.99644 + 0.188640i 0.999288 + 0.0377280i
\(26\) −0.133619 + 3.60307i −0.0262049 + 0.706621i
\(27\) 0.707107 0.707107i 0.136083 0.136083i
\(28\) −1.27707 2.21194i −0.241343 0.418018i
\(29\) −1.58408 + 0.914569i −0.294156 + 0.169831i −0.639815 0.768529i \(-0.720989\pi\)
0.345658 + 0.938360i \(0.387656\pi\)
\(30\) 0.537883 + 2.17041i 0.0982035 + 0.396261i
\(31\) −0.423885 + 0.423885i −0.0761319 + 0.0761319i −0.744147 0.668015i \(-0.767144\pi\)
0.668015 + 0.744147i \(0.267144\pi\)
\(32\) −0.866025 0.500000i −0.153093 0.0883883i
\(33\) 0.804972 + 0.464751i 0.140128 + 0.0809027i
\(34\) 1.35373 1.35373i 0.232162 0.232162i
\(35\) 2.94842 4.89130i 0.498373 0.826780i
\(36\) −0.866025 + 0.500000i −0.144338 + 0.0833333i
\(37\) 3.55220 + 6.15259i 0.583978 + 1.01148i 0.995002 + 0.0998553i \(0.0318380\pi\)
−0.411024 + 0.911625i \(0.634829\pi\)
\(38\) −0.235322 + 0.235322i −0.0381743 + 0.0381743i
\(39\) −2.45328 2.64224i −0.392838 0.423097i
\(40\) 0.0421887 2.23567i 0.00667062 0.353490i
\(41\) −10.7484 2.88002i −1.67862 0.449784i −0.711203 0.702986i \(-0.751850\pi\)
−0.967413 + 0.253202i \(0.918516\pi\)
\(42\) 2.46710 + 0.661058i 0.380682 + 0.102003i
\(43\) −0.371252 1.38553i −0.0566154 0.211291i 0.931823 0.362912i \(-0.118217\pi\)
−0.988439 + 0.151621i \(0.951551\pi\)
\(44\) −0.657257 0.657257i −0.0990852 0.0990852i
\(45\) −1.91505 1.15437i −0.285479 0.172084i
\(46\) 1.92639 0.516175i 0.284031 0.0761059i
\(47\) −7.62342 −1.11199 −0.555995 0.831185i \(-0.687663\pi\)
−0.555995 + 0.831185i \(0.687663\pi\)
\(48\) 0.965926 0.258819i 0.139419 0.0373573i
\(49\) 0.238207 + 0.412587i 0.0340296 + 0.0589411i
\(50\) 4.42136 2.33485i 0.625275 0.330198i
\(51\) 1.91446i 0.268078i
\(52\) 1.68582 + 3.18716i 0.233781 + 0.441980i
\(53\) −0.567895 0.567895i −0.0780064 0.0780064i 0.667027 0.745033i \(-0.267567\pi\)
−0.745033 + 0.667027i \(0.767567\pi\)
\(54\) 0.258819 0.965926i 0.0352208 0.131446i
\(55\) 0.575719 1.99710i 0.0776300 0.269289i
\(56\) −2.21194 1.27707i −0.295583 0.170655i
\(57\) 0.332796i 0.0440799i
\(58\) −0.914569 + 1.58408i −0.120089 + 0.208000i
\(59\) −1.37659 5.13751i −0.179217 0.668847i −0.995795 0.0916117i \(-0.970798\pi\)
0.816578 0.577235i \(-0.195869\pi\)
\(60\) 1.55103 + 1.61069i 0.200237 + 0.207939i
\(61\) −5.39490 + 9.34424i −0.690746 + 1.19641i 0.280848 + 0.959752i \(0.409384\pi\)
−0.971594 + 0.236655i \(0.923949\pi\)
\(62\) −0.155153 + 0.579037i −0.0197044 + 0.0735378i
\(63\) −2.21194 + 1.27707i −0.278679 + 0.160895i
\(64\) −1.00000 −0.125000
\(65\) −4.41517 + 6.74583i −0.547635 + 0.836717i
\(66\) 0.929501 0.114414
\(67\) −11.9595 + 6.90482i −1.46108 + 0.843558i −0.999062 0.0433105i \(-0.986210\pi\)
−0.462023 + 0.886868i \(0.652876\pi\)
\(68\) 0.495499 1.84923i 0.0600880 0.224252i
\(69\) −0.997174 + 1.72716i −0.120046 + 0.207925i
\(70\) 0.107756 5.71019i 0.0128793 0.682499i
\(71\) −3.55539 13.2689i −0.421947 1.57473i −0.770501 0.637438i \(-0.779994\pi\)
0.348555 0.937288i \(-0.386673\pi\)
\(72\) −0.500000 + 0.866025i −0.0589256 + 0.102062i
\(73\) 16.1644i 1.89190i 0.324306 + 0.945952i \(0.394869\pi\)
−0.324306 + 0.945952i \(0.605131\pi\)
\(74\) 6.15259 + 3.55220i 0.715224 + 0.412935i
\(75\) −1.47539 + 4.77737i −0.170363 + 0.551643i
\(76\) −0.0861340 + 0.321456i −0.00988024 + 0.0368736i
\(77\) −1.67872 1.67872i −0.191308 0.191308i
\(78\) −3.44572 1.06161i −0.390151 0.120204i
\(79\) 10.6347i 1.19650i −0.801309 0.598251i \(-0.795863\pi\)
0.801309 0.598251i \(-0.204137\pi\)
\(80\) −1.08130 1.95724i −0.120893 0.218826i
\(81\) 0.500000 + 0.866025i 0.0555556 + 0.0962250i
\(82\) −10.7484 + 2.88002i −1.18696 + 0.318045i
\(83\) 6.12517 0.672325 0.336162 0.941804i \(-0.390871\pi\)
0.336162 + 0.941804i \(0.390871\pi\)
\(84\) 2.46710 0.661058i 0.269183 0.0721273i
\(85\) 4.15516 1.02976i 0.450691 0.111693i
\(86\) −1.01428 1.01428i −0.109372 0.109372i
\(87\) −0.473416 1.76681i −0.0507555 0.189422i
\(88\) −0.897829 0.240573i −0.0957089 0.0256451i
\(89\) −6.90537 1.85029i −0.731968 0.196130i −0.126463 0.991971i \(-0.540362\pi\)
−0.605506 + 0.795841i \(0.707029\pi\)
\(90\) −2.23567 0.0421887i −0.235660 0.00444708i
\(91\) 4.30580 + 8.14043i 0.451371 + 0.853349i
\(92\) 1.41022 1.41022i 0.147025 0.147025i
\(93\) −0.299732 0.519150i −0.0310807 0.0538334i
\(94\) −6.60208 + 3.81171i −0.680952 + 0.393148i
\(95\) −0.722304 + 0.179005i −0.0741069 + 0.0183656i
\(96\) 0.707107 0.707107i 0.0721688 0.0721688i
\(97\) −1.94931 1.12544i −0.197923 0.114271i 0.397763 0.917488i \(-0.369786\pi\)
−0.595686 + 0.803217i \(0.703120\pi\)
\(98\) 0.412587 + 0.238207i 0.0416776 + 0.0240626i
\(99\) −0.657257 + 0.657257i −0.0660568 + 0.0660568i
\(100\) 2.66159 4.23272i 0.266159 0.423272i
\(101\) −10.3731 + 5.98893i −1.03217 + 0.595921i −0.917604 0.397495i \(-0.869880\pi\)
−0.114562 + 0.993416i \(0.536546\pi\)
\(102\) 0.957230 + 1.65797i 0.0947799 + 0.164164i
\(103\) 10.3799 10.3799i 1.02276 1.02276i 0.0230231 0.999735i \(-0.492671\pi\)
0.999735 0.0230231i \(-0.00732912\pi\)
\(104\) 3.05354 + 1.91725i 0.299425 + 0.188002i
\(105\) 3.96152 + 4.11391i 0.386605 + 0.401477i
\(106\) −0.775759 0.207864i −0.0753484 0.0201895i
\(107\) 9.22064 + 2.47066i 0.891393 + 0.238848i 0.675316 0.737528i \(-0.264007\pi\)
0.216077 + 0.976376i \(0.430674\pi\)
\(108\) −0.258819 0.965926i −0.0249049 0.0929463i
\(109\) −4.56900 4.56900i −0.437631 0.437631i 0.453583 0.891214i \(-0.350145\pi\)
−0.891214 + 0.453583i \(0.850145\pi\)
\(110\) −0.499963 2.01740i −0.0476696 0.192351i
\(111\) −6.86232 + 1.83875i −0.651343 + 0.174527i
\(112\) −2.55413 −0.241343
\(113\) 14.3737 3.85142i 1.35216 0.362311i 0.491231 0.871030i \(-0.336547\pi\)
0.860933 + 0.508718i \(0.169881\pi\)
\(114\) −0.166398 0.288210i −0.0155846 0.0269933i
\(115\) 4.28500 + 1.23527i 0.399578 + 0.115189i
\(116\) 1.82914i 0.169831i
\(117\) 3.18716 1.68582i 0.294653 0.155854i
\(118\) −3.76092 3.76092i −0.346221 0.346221i
\(119\) 1.26557 4.72317i 0.116014 0.432972i
\(120\) 2.14857 + 0.619385i 0.196137 + 0.0565419i
\(121\) 8.77806 + 5.06801i 0.798005 + 0.460729i
\(122\) 10.7898i 0.976863i
\(123\) 5.56378 9.63674i 0.501669 0.868916i
\(124\) 0.155153 + 0.579037i 0.0139331 + 0.0519991i
\(125\) 11.1624 + 0.632531i 0.998398 + 0.0565753i
\(126\) −1.27707 + 2.21194i −0.113770 + 0.197055i
\(127\) −3.03020 + 11.3089i −0.268887 + 1.00350i 0.690941 + 0.722911i \(0.257196\pi\)
−0.959828 + 0.280589i \(0.909470\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) 1.43441 0.126292
\(130\) −0.450737 + 8.04965i −0.0395323 + 0.706001i
\(131\) −17.7688 −1.55247 −0.776234 0.630445i \(-0.782873\pi\)
−0.776234 + 0.630445i \(0.782873\pi\)
\(132\) 0.804972 0.464751i 0.0700638 0.0404513i
\(133\) −0.219997 + 0.821042i −0.0190762 + 0.0711933i
\(134\) −6.90482 + 11.9595i −0.596485 + 1.03314i
\(135\) 1.61069 1.55103i 0.138626 0.133491i
\(136\) −0.495499 1.84923i −0.0424887 0.158570i
\(137\) 6.01537 10.4189i 0.513928 0.890149i −0.485942 0.873991i \(-0.661523\pi\)
0.999869 0.0161576i \(-0.00514335\pi\)
\(138\) 1.99435i 0.169770i
\(139\) −2.12380 1.22618i −0.180139 0.104003i 0.407219 0.913330i \(-0.366499\pi\)
−0.587358 + 0.809327i \(0.699832\pi\)
\(140\) −2.76178 4.99905i −0.233413 0.422497i
\(141\) 1.97309 7.36366i 0.166164 0.620132i
\(142\) −9.71350 9.71350i −0.815139 0.815139i
\(143\) 2.28032 + 2.45597i 0.190690 + 0.205378i
\(144\) 1.00000i 0.0833333i
\(145\) −3.58006 + 1.97784i −0.297308 + 0.164251i
\(146\) 8.08222 + 13.9988i 0.668889 + 1.15855i
\(147\) −0.460182 + 0.123305i −0.0379551 + 0.0101700i
\(148\) 7.10440 0.583978
\(149\) 1.16248 0.311485i 0.0952339 0.0255178i −0.210887 0.977510i \(-0.567635\pi\)
0.306121 + 0.951993i \(0.400969\pi\)
\(150\) 1.11096 + 4.87501i 0.0907096 + 0.398043i
\(151\) 5.91323 + 5.91323i 0.481212 + 0.481212i 0.905518 0.424307i \(-0.139482\pi\)
−0.424307 + 0.905518i \(0.639482\pi\)
\(152\) 0.0861340 + 0.321456i 0.00698639 + 0.0260736i
\(153\) −1.84923 0.495499i −0.149501 0.0400587i
\(154\) −2.29317 0.614454i −0.184789 0.0495141i
\(155\) −0.965549 + 0.929783i −0.0775548 + 0.0746820i
\(156\) −3.51489 + 0.803478i −0.281416 + 0.0643297i
\(157\) −0.229594 + 0.229594i −0.0183236 + 0.0183236i −0.716209 0.697886i \(-0.754124\pi\)
0.697886 + 0.716209i \(0.254124\pi\)
\(158\) −5.31737 9.20995i −0.423027 0.732705i
\(159\) 0.695526 0.401562i 0.0551588 0.0318460i
\(160\) −1.91505 1.15437i −0.151398 0.0912611i
\(161\) 3.60188 3.60188i 0.283868 0.283868i
\(162\) 0.866025 + 0.500000i 0.0680414 + 0.0392837i
\(163\) 11.3642 + 6.56113i 0.890114 + 0.513907i 0.873980 0.485963i \(-0.161531\pi\)
0.0161339 + 0.999870i \(0.494864\pi\)
\(164\) −7.86837 + 7.86837i −0.614416 + 0.614416i
\(165\) 1.78004 + 1.07299i 0.138576 + 0.0835321i
\(166\) 5.30455 3.06259i 0.411713 0.237703i
\(167\) 0.224532 + 0.388900i 0.0173748 + 0.0300940i 0.874582 0.484878i \(-0.161136\pi\)
−0.857207 + 0.514972i \(0.827802\pi\)
\(168\) 1.80604 1.80604i 0.139339 0.139339i
\(169\) −5.64827 11.7088i −0.434482 0.900680i
\(170\) 3.08360 2.96938i 0.236501 0.227741i
\(171\) 0.321456 + 0.0861340i 0.0245824 + 0.00658683i
\(172\) −1.38553 0.371252i −0.105646 0.0283077i
\(173\) 0.249162 + 0.929886i 0.0189435 + 0.0706979i 0.974751 0.223297i \(-0.0716819\pi\)
−0.955807 + 0.293995i \(0.905015\pi\)
\(174\) −1.29340 1.29340i −0.0980521 0.0980521i
\(175\) 6.79804 10.8109i 0.513884 0.817230i
\(176\) −0.897829 + 0.240573i −0.0676764 + 0.0181338i
\(177\) 5.31874 0.399781
\(178\) −6.90537 + 1.85029i −0.517580 + 0.138685i
\(179\) −6.78999 11.7606i −0.507507 0.879029i −0.999962 0.00869064i \(-0.997234\pi\)
0.492455 0.870338i \(-0.336100\pi\)
\(180\) −1.95724 + 1.08130i −0.145884 + 0.0805952i
\(181\) 2.52719i 0.187844i 0.995580 + 0.0939222i \(0.0299405\pi\)
−0.995580 + 0.0939222i \(0.970060\pi\)
\(182\) 7.79915 + 4.89692i 0.578112 + 0.362984i
\(183\) −7.62954 7.62954i −0.563992 0.563992i
\(184\) 0.516175 1.92639i 0.0380529 0.142016i
\(185\) 7.68198 + 13.9050i 0.564790 + 1.02232i
\(186\) −0.519150 0.299732i −0.0380660 0.0219774i
\(187\) 1.77949i 0.130129i
\(188\) −3.81171 + 6.60208i −0.277998 + 0.481506i
\(189\) −0.661058 2.46710i −0.0480849 0.179455i
\(190\) −0.536031 + 0.516175i −0.0388878 + 0.0374473i
\(191\) 1.37683 2.38473i 0.0996236 0.172553i −0.811905 0.583789i \(-0.801569\pi\)
0.911529 + 0.411236i \(0.134903\pi\)
\(192\) 0.258819 0.965926i 0.0186787 0.0697097i
\(193\) −4.30415 + 2.48500i −0.309819 + 0.178874i −0.646846 0.762621i \(-0.723912\pi\)
0.337026 + 0.941495i \(0.390579\pi\)
\(194\) −2.25087 −0.161603
\(195\) −5.37324 6.01068i −0.384786 0.430434i
\(196\) 0.476415 0.0340296
\(197\) 21.3439 12.3229i 1.52069 0.877970i 0.520987 0.853565i \(-0.325564\pi\)
0.999702 0.0244058i \(-0.00776939\pi\)
\(198\) −0.240573 + 0.897829i −0.0170968 + 0.0638059i
\(199\) 5.90597 10.2294i 0.418663 0.725145i −0.577142 0.816644i \(-0.695832\pi\)
0.995805 + 0.0914981i \(0.0291655\pi\)
\(200\) 0.188640 4.99644i 0.0133389 0.353302i
\(201\) −3.57420 13.3391i −0.252104 0.940866i
\(202\) −5.98893 + 10.3731i −0.421380 + 0.729852i
\(203\) 4.67186i 0.327900i
\(204\) 1.65797 + 0.957230i 0.116081 + 0.0670195i
\(205\) −23.9084 6.89224i −1.66983 0.481375i
\(206\) 3.79929 14.1792i 0.264709 0.987908i
\(207\) −1.41022 1.41022i −0.0980169 0.0980169i
\(208\) 3.60307 + 0.133619i 0.249828 + 0.00926482i
\(209\) 0.309334i 0.0213971i
\(210\) 5.48773 + 1.58199i 0.378690 + 0.109168i
\(211\) 5.99850 + 10.3897i 0.412954 + 0.715257i 0.995211 0.0977473i \(-0.0311637\pi\)
−0.582257 + 0.813005i \(0.697830\pi\)
\(212\) −0.775759 + 0.207864i −0.0532793 + 0.0142762i
\(213\) 13.7370 0.941241
\(214\) 9.22064 2.47066i 0.630310 0.168891i
\(215\) −0.771543 3.11325i −0.0526188 0.212322i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) 0.396280 + 1.47894i 0.0269012 + 0.100397i
\(218\) −6.24137 1.67237i −0.422719 0.113267i
\(219\) −15.6136 4.18366i −1.05507 0.282706i
\(220\) −1.44168 1.49714i −0.0971980 0.100937i
\(221\) −2.03241 + 6.59669i −0.136715 + 0.443742i
\(222\) −5.02357 + 5.02357i −0.337160 + 0.337160i
\(223\) −3.91139 6.77473i −0.261926 0.453670i 0.704827 0.709379i \(-0.251024\pi\)
−0.966754 + 0.255709i \(0.917691\pi\)
\(224\) −2.21194 + 1.27707i −0.147792 + 0.0853275i
\(225\) −4.23272 2.66159i −0.282182 0.177439i
\(226\) 10.5223 10.5223i 0.699931 0.699931i
\(227\) 3.50733 + 2.02496i 0.232790 + 0.134401i 0.611858 0.790967i \(-0.290422\pi\)
−0.379069 + 0.925369i \(0.623756\pi\)
\(228\) −0.288210 0.166398i −0.0190872 0.0110200i
\(229\) 9.46902 9.46902i 0.625731 0.625731i −0.321260 0.946991i \(-0.604106\pi\)
0.946991 + 0.321260i \(0.104106\pi\)
\(230\) 4.32855 1.07273i 0.285416 0.0707334i
\(231\) 2.05600 1.18703i 0.135275 0.0781011i
\(232\) 0.914569 + 1.58408i 0.0600444 + 0.104000i
\(233\) −6.50570 + 6.50570i −0.426202 + 0.426202i −0.887333 0.461130i \(-0.847444\pi\)
0.461130 + 0.887333i \(0.347444\pi\)
\(234\) 1.91725 3.05354i 0.125335 0.199616i
\(235\) −17.0435 0.321623i −1.11179 0.0209803i
\(236\) −5.13751 1.37659i −0.334424 0.0896085i
\(237\) 10.2724 + 2.75247i 0.667262 + 0.178792i
\(238\) −1.26557 4.72317i −0.0820346 0.306157i
\(239\) −5.17196 5.17196i −0.334547 0.334547i 0.519764 0.854310i \(-0.326020\pi\)
−0.854310 + 0.519764i \(0.826020\pi\)
\(240\) 2.17041 0.537883i 0.140099 0.0347202i
\(241\) 23.3556 6.25813i 1.50447 0.403121i 0.589875 0.807494i \(-0.299177\pi\)
0.914594 + 0.404373i \(0.132510\pi\)
\(242\) 10.1360 0.651569
\(243\) −0.965926 + 0.258819i −0.0619642 + 0.0166032i
\(244\) 5.39490 + 9.34424i 0.345373 + 0.598204i
\(245\) 0.515147 + 0.932459i 0.0329115 + 0.0595726i
\(246\) 11.1276i 0.709467i
\(247\) 0.353300 1.14672i 0.0224799 0.0729642i
\(248\) 0.423885 + 0.423885i 0.0269167 + 0.0269167i
\(249\) −1.58531 + 5.91646i −0.100465 + 0.374940i
\(250\) 9.98322 5.03343i 0.631394 0.318342i
\(251\) 14.7980 + 8.54362i 0.934041 + 0.539269i 0.888087 0.459675i \(-0.152034\pi\)
0.0459534 + 0.998944i \(0.485367\pi\)
\(252\) 2.55413i 0.160895i
\(253\) 0.926874 1.60539i 0.0582721 0.100930i
\(254\) 3.03020 + 11.3089i 0.190132 + 0.709582i
\(255\) −0.0807686 + 4.28010i −0.00505793 + 0.268030i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −3.95589 + 14.7636i −0.246762 + 0.920928i 0.725728 + 0.687982i \(0.241503\pi\)
−0.972490 + 0.232946i \(0.925164\pi\)
\(258\) 1.24223 0.717203i 0.0773380 0.0446511i
\(259\) 18.1456 1.12751
\(260\) 3.63447 + 7.19657i 0.225401 + 0.446312i
\(261\) 1.82914 0.113221
\(262\) −15.3882 + 8.88441i −0.950689 + 0.548880i
\(263\) −4.96189 + 18.5180i −0.305963 + 1.14187i 0.626150 + 0.779703i \(0.284630\pi\)
−0.932113 + 0.362168i \(0.882037\pi\)
\(264\) 0.464751 0.804972i 0.0286034 0.0495426i
\(265\) −1.24567 1.29358i −0.0765207 0.0794643i
\(266\) 0.219997 + 0.821042i 0.0134889 + 0.0503413i
\(267\) 3.57448 6.19119i 0.218755 0.378895i
\(268\) 13.8096i 0.843558i
\(269\) 23.7925 + 13.7366i 1.45066 + 0.837537i 0.998519 0.0544117i \(-0.0173283\pi\)
0.452137 + 0.891948i \(0.350662\pi\)
\(270\) 0.619385 2.14857i 0.0376946 0.130758i
\(271\) 3.85790 14.3979i 0.234351 0.874608i −0.744090 0.668080i \(-0.767117\pi\)
0.978440 0.206529i \(-0.0662168\pi\)
\(272\) −1.35373 1.35373i −0.0820818 0.0820818i
\(273\) −8.97748 + 2.05219i −0.543342 + 0.124204i
\(274\) 12.0307i 0.726803i
\(275\) 1.37137 4.44057i 0.0826969 0.267776i
\(276\) 0.997174 + 1.72716i 0.0600228 + 0.103963i
\(277\) 14.9968 4.01837i 0.901068 0.241440i 0.221593 0.975139i \(-0.428874\pi\)
0.679475 + 0.733699i \(0.262208\pi\)
\(278\) −2.45236 −0.147083
\(279\) 0.579037 0.155153i 0.0346660 0.00928874i
\(280\) −4.89130 2.94842i −0.292311 0.176202i
\(281\) −0.565871 0.565871i −0.0337570 0.0337570i 0.690027 0.723784i \(-0.257599\pi\)
−0.723784 + 0.690027i \(0.757599\pi\)
\(282\) −1.97309 7.36366i −0.117496 0.438500i
\(283\) 29.3068 + 7.85273i 1.74211 + 0.466796i 0.982913 0.184068i \(-0.0589268\pi\)
0.759194 + 0.650865i \(0.225593\pi\)
\(284\) −13.2689 3.55539i −0.787363 0.210973i
\(285\) 0.0140402 0.744022i 0.000831673 0.0440721i
\(286\) 3.20280 + 0.986768i 0.189386 + 0.0583488i
\(287\) −20.0968 + 20.0968i −1.18628 + 1.18628i
\(288\) 0.500000 + 0.866025i 0.0294628 + 0.0510310i
\(289\) −11.5483 + 6.66742i −0.679313 + 0.392201i
\(290\) −2.11150 + 3.50290i −0.123992 + 0.205697i
\(291\) 1.59161 1.59161i 0.0933017 0.0933017i
\(292\) 13.9988 + 8.08222i 0.819219 + 0.472976i
\(293\) 18.3481 + 10.5933i 1.07190 + 0.618864i 0.928701 0.370829i \(-0.120926\pi\)
0.143203 + 0.989693i \(0.454260\pi\)
\(294\) −0.336876 + 0.336876i −0.0196470 + 0.0196470i
\(295\) −2.86086 11.5439i −0.166566 0.672109i
\(296\) 6.15259 3.55220i 0.357612 0.206467i
\(297\) −0.464751 0.804972i −0.0269676 0.0467092i
\(298\) 0.850993 0.850993i 0.0492967 0.0492967i
\(299\) −5.26955 + 4.89269i −0.304746 + 0.282951i
\(300\) 3.39963 + 3.66641i 0.196278 + 0.211680i
\(301\) −3.53883 0.948226i −0.203975 0.0546548i
\(302\) 8.07762 + 2.16439i 0.464815 + 0.124547i
\(303\) −3.10010 11.5697i −0.178096 0.664664i
\(304\) 0.235322 + 0.235322i 0.0134967 + 0.0134967i
\(305\) −12.4554 + 20.6630i −0.713196 + 1.18316i
\(306\) −1.84923 + 0.495499i −0.105713 + 0.0283258i
\(307\) −28.2873 −1.61444 −0.807222 0.590249i \(-0.799030\pi\)
−0.807222 + 0.590249i \(0.799030\pi\)
\(308\) −2.29317 + 0.614454i −0.130666 + 0.0350118i
\(309\) 7.33967 + 12.7127i 0.417539 + 0.723199i
\(310\) −0.371299 + 1.28799i −0.0210883 + 0.0731529i
\(311\) 5.66700i 0.321346i 0.987008 + 0.160673i \(0.0513665\pi\)
−0.987008 + 0.160673i \(0.948634\pi\)
\(312\) −2.64224 + 2.45328i −0.149587 + 0.138889i
\(313\) −12.2045 12.2045i −0.689841 0.689841i 0.272356 0.962197i \(-0.412197\pi\)
−0.962197 + 0.272356i \(0.912197\pi\)
\(314\) −0.0840373 + 0.313631i −0.00474250 + 0.0176992i
\(315\) −4.99905 + 2.76178i −0.281665 + 0.155609i
\(316\) −9.20995 5.31737i −0.518100 0.299125i
\(317\) 20.4521i 1.14870i −0.818609 0.574351i \(-0.805254\pi\)
0.818609 0.574351i \(-0.194746\pi\)
\(318\) 0.401562 0.695526i 0.0225185 0.0390032i
\(319\) 0.440041 + 1.64225i 0.0246375 + 0.0919486i
\(320\) −2.23567 0.0421887i −0.124978 0.00235842i
\(321\) −4.77296 + 8.26700i −0.266400 + 0.461419i
\(322\) 1.31838 4.92026i 0.0734704 0.274195i
\(323\) −0.551766 + 0.318562i −0.0307011 + 0.0177253i
\(324\) 1.00000 0.0555556
\(325\) −10.1555 + 14.8952i −0.563324 + 0.826236i
\(326\) 13.1223 0.726775
\(327\) 5.59586 3.23077i 0.309452 0.178662i
\(328\) −2.88002 + 10.7484i −0.159023 + 0.593481i
\(329\) −9.73561 + 16.8626i −0.536742 + 0.929664i
\(330\) 2.07806 + 0.0392145i 0.114393 + 0.00215869i
\(331\) −8.55872 31.9416i −0.470430 1.75567i −0.638229 0.769847i \(-0.720333\pi\)
0.167799 0.985821i \(-0.446334\pi\)
\(332\) 3.06259 5.30455i 0.168081 0.291125i
\(333\) 7.10440i 0.389319i
\(334\) 0.388900 + 0.224532i 0.0212797 + 0.0122858i
\(335\) −27.0288 + 14.9323i −1.47674 + 0.815841i
\(336\) 0.661058 2.46710i 0.0360637 0.134591i
\(337\) −24.5644 24.5644i −1.33811 1.33811i −0.897889 0.440221i \(-0.854900\pi\)
−0.440221 0.897889i \(-0.645100\pi\)
\(338\) −10.7460 7.31602i −0.584504 0.397939i
\(339\) 14.8807i 0.808211i
\(340\) 1.18579 4.11336i 0.0643084 0.223078i
\(341\) 0.278601 + 0.482551i 0.0150871 + 0.0261316i
\(342\) 0.321456 0.0861340i 0.0173824 0.00465759i
\(343\) 19.0957 1.03107
\(344\) −1.38553 + 0.371252i −0.0747028 + 0.0200166i
\(345\) −2.30222 + 3.81928i −0.123947 + 0.205623i
\(346\) 0.680724 + 0.680724i 0.0365959 + 0.0365959i
\(347\) −1.18137 4.40894i −0.0634193 0.236684i 0.926939 0.375211i \(-0.122430\pi\)
−0.990359 + 0.138527i \(0.955763\pi\)
\(348\) −1.76681 0.473416i −0.0947111 0.0253778i
\(349\) 17.4957 + 4.68796i 0.936524 + 0.250941i 0.694634 0.719363i \(-0.255566\pi\)
0.241890 + 0.970304i \(0.422233\pi\)
\(350\) 0.481812 12.7616i 0.0257539 0.682134i
\(351\) 0.803478 + 3.51489i 0.0428865 + 0.187611i
\(352\) −0.657257 + 0.657257i −0.0350319 + 0.0350319i
\(353\) −16.1383 27.9524i −0.858958 1.48776i −0.872924 0.487856i \(-0.837779\pi\)
0.0139668 0.999902i \(-0.495554\pi\)
\(354\) 4.60617 2.65937i 0.244815 0.141344i
\(355\) −7.38887 29.8148i −0.392161 1.58241i
\(356\) −5.05508 + 5.05508i −0.267919 + 0.267919i
\(357\) 4.23468 + 2.44489i 0.224123 + 0.129397i
\(358\) −11.7606 6.78999i −0.621567 0.358862i
\(359\) 12.8729 12.8729i 0.679404 0.679404i −0.280461 0.959865i \(-0.590487\pi\)
0.959865 + 0.280461i \(0.0904874\pi\)
\(360\) −1.15437 + 1.91505i −0.0608407 + 0.100932i
\(361\) −16.3586 + 9.44462i −0.860977 + 0.497085i
\(362\) 1.26359 + 2.18861i 0.0664130 + 0.115031i
\(363\) −7.16725 + 7.16725i −0.376183 + 0.376183i
\(364\) 9.20272 + 0.341281i 0.482354 + 0.0178880i
\(365\) −0.681957 + 36.1383i −0.0356953 + 1.89157i
\(366\) −10.4221 2.79261i −0.544774 0.145972i
\(367\) −1.72948 0.463412i −0.0902779 0.0241899i 0.213397 0.976965i \(-0.431547\pi\)
−0.303675 + 0.952776i \(0.598214\pi\)
\(368\) −0.516175 1.92639i −0.0269075 0.100420i
\(369\) 7.86837 + 7.86837i 0.409611 + 0.409611i
\(370\) 13.6053 + 8.20112i 0.707306 + 0.426356i
\(371\) −1.98139 + 0.530912i −0.102869 + 0.0275636i
\(372\) −0.599463 −0.0310807
\(373\) −21.9687 + 5.88650i −1.13750 + 0.304792i −0.777945 0.628333i \(-0.783738\pi\)
−0.359553 + 0.933125i \(0.617071\pi\)
\(374\) −0.889746 1.54109i −0.0460077 0.0796877i
\(375\) −3.50003 + 10.6184i −0.180741 + 0.548330i
\(376\) 7.62342i 0.393148i
\(377\) 0.244408 6.59052i 0.0125876 0.339429i
\(378\) −1.80604 1.80604i −0.0928928 0.0928928i
\(379\) −8.36754 + 31.2281i −0.429812 + 1.60408i 0.323373 + 0.946271i \(0.395183\pi\)
−0.753185 + 0.657808i \(0.771484\pi\)
\(380\) −0.206129 + 0.715036i −0.0105742 + 0.0366806i
\(381\) −10.1393 5.85390i −0.519450 0.299904i
\(382\) 2.75365i 0.140889i
\(383\) −17.7620 + 30.7647i −0.907596 + 1.57200i −0.0902021 + 0.995923i \(0.528751\pi\)
−0.817394 + 0.576079i \(0.804582\pi\)
\(384\) −0.258819 0.965926i −0.0132078 0.0492922i
\(385\) −3.68224 3.82389i −0.187664 0.194883i
\(386\) −2.48500 + 4.30415i −0.126483 + 0.219075i
\(387\) −0.371252 + 1.38553i −0.0188718 + 0.0704305i
\(388\) −1.94931 + 1.12544i −0.0989614 + 0.0571354i
\(389\) 32.1529 1.63022 0.815108 0.579308i \(-0.196677\pi\)
0.815108 + 0.579308i \(0.196677\pi\)
\(390\) −7.65870 2.51878i −0.387814 0.127543i
\(391\) 3.81810 0.193090
\(392\) 0.412587 0.238207i 0.0208388 0.0120313i
\(393\) 4.59891 17.1634i 0.231984 0.865777i
\(394\) 12.3229 21.3439i 0.620819 1.07529i
\(395\) 0.448666 23.7758i 0.0225748 1.19629i
\(396\) 0.240573 + 0.897829i 0.0120892 + 0.0451176i
\(397\) 3.12843 5.41860i 0.157012 0.271952i −0.776778 0.629774i \(-0.783147\pi\)
0.933790 + 0.357822i \(0.116481\pi\)
\(398\) 11.8119i 0.592079i
\(399\) −0.736126 0.425002i −0.0368524 0.0212767i
\(400\) −2.33485 4.42136i −0.116743 0.221068i
\(401\) 0.723508 2.70017i 0.0361303 0.134840i −0.945505 0.325608i \(-0.894431\pi\)
0.981635 + 0.190768i \(0.0610977\pi\)
\(402\) −9.76488 9.76488i −0.487028 0.487028i
\(403\) −0.481656 2.10705i −0.0239930 0.104959i
\(404\) 11.9779i 0.595921i
\(405\) 1.08130 + 1.95724i 0.0537302 + 0.0972561i
\(406\) 2.33593 + 4.04595i 0.115930 + 0.200797i
\(407\) 6.37854 1.70912i 0.316172 0.0847181i
\(408\) 1.91446 0.0947799
\(409\) −29.3782 + 7.87186i −1.45266 + 0.389238i −0.896947 0.442138i \(-0.854220\pi\)
−0.555710 + 0.831376i \(0.687554\pi\)
\(410\) −24.1514 + 5.98532i −1.19275 + 0.295594i
\(411\) 8.50702 + 8.50702i 0.419620 + 0.419620i
\(412\) −3.79929 14.1792i −0.187178 0.698557i
\(413\) −13.1219 3.51600i −0.645686 0.173011i
\(414\) −1.92639 0.516175i −0.0946770 0.0253686i
\(415\) 13.6939 + 0.258413i 0.672205 + 0.0126850i
\(416\) 3.18716 1.68582i 0.156264 0.0826541i
\(417\) 1.73408 1.73408i 0.0849182 0.0849182i
\(418\) 0.154667 + 0.267891i 0.00756502 + 0.0131030i
\(419\) −15.8112 + 9.12861i −0.772429 + 0.445962i −0.833740 0.552157i \(-0.813805\pi\)
0.0613116 + 0.998119i \(0.480472\pi\)
\(420\) 5.54351 1.37382i 0.270496 0.0670357i
\(421\) 6.76657 6.76657i 0.329782 0.329782i −0.522721 0.852504i \(-0.675083\pi\)
0.852504 + 0.522721i \(0.175083\pi\)
\(422\) 10.3897 + 5.99850i 0.505763 + 0.292003i
\(423\) 6.60208 + 3.81171i 0.321004 + 0.185332i
\(424\) −0.567895 + 0.567895i −0.0275794 + 0.0275794i
\(425\) 9.33302 2.12689i 0.452718 0.103169i
\(426\) 11.8966 6.86848i 0.576390 0.332779i
\(427\) 13.7793 + 23.8664i 0.666826 + 1.15498i
\(428\) 6.74998 6.74998i 0.326273 0.326273i
\(429\) −2.96247 + 1.56697i −0.143030 + 0.0756541i
\(430\) −2.22480 2.31038i −0.107289 0.111417i
\(431\) −28.8494 7.73016i −1.38962 0.372349i −0.515017 0.857180i \(-0.672214\pi\)
−0.874608 + 0.484831i \(0.838881\pi\)
\(432\) −0.965926 0.258819i −0.0464731 0.0124524i
\(433\) 3.56587 + 13.3080i 0.171365 + 0.639542i 0.997142 + 0.0755462i \(0.0240700\pi\)
−0.825777 + 0.563996i \(0.809263\pi\)
\(434\) 1.08266 + 1.08266i 0.0519692 + 0.0519692i
\(435\) −0.983862 3.96998i −0.0471726 0.190346i
\(436\) −6.24137 + 1.67237i −0.298907 + 0.0800920i
\(437\) −0.663711 −0.0317496
\(438\) −15.6136 + 4.18366i −0.746049 + 0.199903i
\(439\) −2.23458 3.87040i −0.106651 0.184724i 0.807761 0.589510i \(-0.200679\pi\)
−0.914411 + 0.404786i \(0.867346\pi\)
\(440\) −1.99710 0.575719i −0.0952080 0.0274463i
\(441\) 0.476415i 0.0226864i
\(442\) 1.53823 + 6.72911i 0.0731660 + 0.320071i
\(443\) −23.1131 23.1131i −1.09814 1.09814i −0.994629 0.103506i \(-0.966994\pi\)
−0.103506 0.994629i \(-0.533006\pi\)
\(444\) −1.83875 + 6.86232i −0.0872634 + 0.325672i
\(445\) −15.3601 4.42797i −0.728137 0.209906i
\(446\) −6.77473 3.91139i −0.320793 0.185210i
\(447\) 1.20349i 0.0569229i
\(448\) −1.27707 + 2.21194i −0.0603357 + 0.104504i
\(449\) 1.98138 + 7.39460i 0.0935070 + 0.348973i 0.996789 0.0800748i \(-0.0255159\pi\)
−0.903282 + 0.429048i \(0.858849\pi\)
\(450\) −4.99644 0.188640i −0.235534 0.00889258i
\(451\) −5.17154 + 8.95737i −0.243518 + 0.421786i
\(452\) 3.85142 14.3737i 0.181156 0.676082i
\(453\) −7.24220 + 4.18128i −0.340268 + 0.196454i
\(454\) 4.04991 0.190072
\(455\) 9.28292 + 18.3810i 0.435190 + 0.861714i
\(456\) −0.332796 −0.0155846
\(457\) 16.1951 9.35023i 0.757573 0.437385i −0.0708504 0.997487i \(-0.522571\pi\)
0.828424 + 0.560102i \(0.189238\pi\)
\(458\) 3.46590 12.9349i 0.161951 0.604409i
\(459\) 0.957230 1.65797i 0.0446797 0.0773875i
\(460\) 3.21228 3.09328i 0.149773 0.144225i
\(461\) −0.327935 1.22387i −0.0152735 0.0570014i 0.957869 0.287207i \(-0.0927268\pi\)
−0.973142 + 0.230206i \(0.926060\pi\)
\(462\) 1.18703 2.05600i 0.0552258 0.0956539i
\(463\) 17.7535i 0.825074i 0.910941 + 0.412537i \(0.135357\pi\)
−0.910941 + 0.412537i \(0.864643\pi\)
\(464\) 1.58408 + 0.914569i 0.0735391 + 0.0424578i
\(465\) −0.648199 1.17329i −0.0300595 0.0544102i
\(466\) −2.38125 + 8.88695i −0.110309 + 0.411680i
\(467\) −13.0166 13.0166i −0.602337 0.602337i 0.338595 0.940932i \(-0.390048\pi\)
−0.940932 + 0.338595i \(0.890048\pi\)
\(468\) 0.133619 3.60307i 0.00617654 0.166552i
\(469\) 35.2716i 1.62869i
\(470\) −14.9209 + 8.24320i −0.688249 + 0.380230i
\(471\) −0.162348 0.281194i −0.00748058 0.0129567i
\(472\) −5.13751 + 1.37659i −0.236473 + 0.0633628i
\(473\) −1.33328 −0.0613044
\(474\) 10.2724 2.75247i 0.471826 0.126425i
\(475\) −1.62239 + 0.369724i −0.0744402 + 0.0169641i
\(476\) −3.45760 3.45760i −0.158479 0.158479i
\(477\) 0.207864 + 0.775759i 0.00951744 + 0.0355196i
\(478\) −7.06504 1.89307i −0.323147 0.0865870i
\(479\) 41.7863 + 11.1966i 1.90927 + 0.511586i 0.994094 + 0.108524i \(0.0346124\pi\)
0.915173 + 0.403062i \(0.132054\pi\)
\(480\) 1.61069 1.55103i 0.0735176 0.0707943i
\(481\) −25.5977 0.949283i −1.16715 0.0432836i
\(482\) 17.0975 17.0975i 0.778771 0.778771i
\(483\) 2.54691 + 4.41138i 0.115889 + 0.200725i
\(484\) 8.77806 5.06801i 0.399003 0.230364i
\(485\) −4.31054 2.59835i −0.195732 0.117985i
\(486\) −0.707107 + 0.707107i −0.0320750 + 0.0320750i
\(487\) −27.0780 15.6335i −1.22702 0.708421i −0.260616 0.965443i \(-0.583926\pi\)
−0.966406 + 0.257022i \(0.917259\pi\)
\(488\) 9.34424 + 5.39490i 0.422994 + 0.244216i
\(489\) −9.27884 + 9.27884i −0.419604 + 0.419604i
\(490\) 0.912360 + 0.549960i 0.0412162 + 0.0248447i
\(491\) 12.4315 7.17735i 0.561028 0.323909i −0.192530 0.981291i \(-0.561669\pi\)
0.753558 + 0.657382i \(0.228336\pi\)
\(492\) −5.56378 9.63674i −0.250834 0.434458i
\(493\) −2.47615 + 2.47615i −0.111520 + 0.111520i
\(494\) −0.267394 1.16974i −0.0120306 0.0526291i
\(495\) −1.49714 + 1.44168i −0.0672913 + 0.0647987i
\(496\) 0.579037 + 0.155153i 0.0259995 + 0.00696655i
\(497\) −33.8905 9.08092i −1.52020 0.407335i
\(498\) 1.58531 + 5.91646i 0.0710395 + 0.265123i
\(499\) 8.35744 + 8.35744i 0.374130 + 0.374130i 0.868979 0.494849i \(-0.164777\pi\)
−0.494849 + 0.868979i \(0.664777\pi\)
\(500\) 6.12900 9.35068i 0.274097 0.418175i
\(501\) −0.433762 + 0.116226i −0.0193790 + 0.00519260i
\(502\) 17.0872 0.762641
\(503\) 4.77153 1.27853i 0.212752 0.0570067i −0.150869 0.988554i \(-0.548207\pi\)
0.363621 + 0.931547i \(0.381540\pi\)
\(504\) 1.27707 + 2.21194i 0.0568850 + 0.0985277i
\(505\) −23.4436 + 12.9517i −1.04323 + 0.576341i
\(506\) 1.85375i 0.0824092i
\(507\) 12.7718 2.42534i 0.567214 0.107713i
\(508\) 8.27867 + 8.27867i 0.367306 + 0.367306i
\(509\) 6.96943 26.0103i 0.308915 1.15288i −0.620608 0.784121i \(-0.713114\pi\)
0.929523 0.368764i \(-0.120219\pi\)
\(510\) 2.07010 + 3.74706i 0.0916657 + 0.165923i
\(511\) 35.7548 + 20.6430i 1.58170 + 0.913195i
\(512\) 1.00000i 0.0441942i
\(513\) −0.166398 + 0.288210i −0.00734665 + 0.0127248i
\(514\) 3.95589 + 14.7636i 0.174487 + 0.651194i
\(515\) 23.6439 22.7680i 1.04187 1.00328i
\(516\) 0.717203 1.24223i 0.0315731 0.0546862i
\(517\) −1.83399 + 6.84453i −0.0806586 + 0.301022i
\(518\) 15.7145 9.07279i 0.690457 0.398635i
\(519\) −0.962689 −0.0422574
\(520\) 6.74583 + 4.41517i 0.295824 + 0.193618i
\(521\) 25.9589 1.13728 0.568641 0.822586i \(-0.307469\pi\)
0.568641 + 0.822586i \(0.307469\pi\)
\(522\) 1.58408 0.914569i 0.0693333 0.0400296i
\(523\) −7.13667 + 26.6344i −0.312065 + 1.16464i 0.614627 + 0.788818i \(0.289307\pi\)
−0.926691 + 0.375823i \(0.877360\pi\)
\(524\) −8.88441 + 15.3882i −0.388117 + 0.672238i
\(525\) 8.68310 + 9.36448i 0.378961 + 0.408699i
\(526\) 4.96189 + 18.5180i 0.216349 + 0.807425i
\(527\) −0.573824 + 0.993893i −0.0249962 + 0.0432947i
\(528\) 0.929501i 0.0404513i
\(529\) −16.4740 9.51129i −0.716262 0.413534i
\(530\) −1.72557 0.497444i −0.0749540 0.0216076i
\(531\) −1.37659 + 5.13751i −0.0597390 + 0.222949i
\(532\) 0.601044 + 0.601044i 0.0260586 + 0.0260586i
\(533\) 29.4017 27.2990i 1.27353 1.18245i
\(534\) 7.14897i 0.309366i
\(535\) 20.5101 + 5.91260i 0.886728 + 0.255624i
\(536\) 6.90482 + 11.9595i 0.298243 + 0.516571i
\(537\) 13.1172 3.51476i 0.566051 0.151673i
\(538\) 27.4732 1.18446
\(539\) 0.427739 0.114612i 0.0184240 0.00493671i
\(540\) −0.537883 2.17041i −0.0231468 0.0933996i
\(541\) −8.08512 8.08512i −0.347606 0.347606i 0.511611 0.859217i \(-0.329049\pi\)
−0.859217 + 0.511611i \(0.829049\pi\)
\(542\) −3.85790 14.3979i −0.165711 0.618442i
\(543\) −2.44108 0.654084i −0.104757 0.0280694i
\(544\) −1.84923 0.495499i −0.0792849 0.0212443i
\(545\) −10.0220 10.4075i −0.429296 0.445810i
\(546\) −6.74863 + 6.26599i −0.288815 + 0.268159i
\(547\) 26.7394 26.7394i 1.14329 1.14329i 0.155449 0.987844i \(-0.450318\pi\)
0.987844 0.155449i \(-0.0496824\pi\)
\(548\) −6.01537 10.4189i −0.256964 0.445074i
\(549\) 9.34424 5.39490i 0.398802 0.230249i
\(550\) −1.03264 4.53133i −0.0440319 0.193217i
\(551\) 0.430437 0.430437i 0.0183372 0.0183372i
\(552\) 1.72716 + 0.997174i 0.0735126 + 0.0424425i
\(553\) −23.5234 13.5813i −1.00032 0.577534i
\(554\) 10.9784 10.9784i 0.466427 0.466427i
\(555\) −15.4195 + 3.82134i −0.654520 + 0.162207i
\(556\) −2.12380 + 1.22618i −0.0900694 + 0.0520016i
\(557\) 6.30086 + 10.9134i 0.266976 + 0.462416i 0.968079 0.250644i \(-0.0806422\pi\)
−0.701103 + 0.713060i \(0.747309\pi\)
\(558\) 0.423885 0.423885i 0.0179445 0.0179445i
\(559\) 4.94256 + 1.52278i 0.209048 + 0.0644068i
\(560\) −5.71019 0.107756i −0.241300 0.00455350i
\(561\) 1.71886 + 0.460567i 0.0725702 + 0.0194451i
\(562\) −0.772994 0.207123i −0.0326068 0.00873696i
\(563\) 6.90739 + 25.7787i 0.291112 + 1.08644i 0.944256 + 0.329211i \(0.106783\pi\)
−0.653144 + 0.757233i \(0.726551\pi\)
\(564\) −5.39057 5.39057i −0.226984 0.226984i
\(565\) 32.2973 8.00410i 1.35876 0.336735i
\(566\) 29.3068 7.85273i 1.23186 0.330075i
\(567\) 2.55413 0.107263
\(568\) −13.2689 + 3.55539i −0.556750 + 0.149181i
\(569\) −12.4597 21.5808i −0.522337 0.904715i −0.999662 0.0259877i \(-0.991727\pi\)
0.477325 0.878727i \(-0.341606\pi\)
\(570\) −0.359852 0.651362i −0.0150725 0.0272826i
\(571\) 28.5531i 1.19491i 0.801903 + 0.597455i \(0.203821\pi\)
−0.801903 + 0.597455i \(0.796179\pi\)
\(572\) 3.26709 0.746834i 0.136604 0.0312267i
\(573\) 1.94713 + 1.94713i 0.0813424 + 0.0813424i
\(574\) −7.35596 + 27.4528i −0.307032 + 1.14586i
\(575\) 9.52773 + 2.94243i 0.397334 + 0.122708i
\(576\) 0.866025 + 0.500000i 0.0360844 + 0.0208333i
\(577\) 5.57578i 0.232123i −0.993242 0.116061i \(-0.962973\pi\)
0.993242 0.116061i \(-0.0370269\pi\)
\(578\) −6.66742 + 11.5483i −0.277328 + 0.480346i
\(579\) −1.28633 4.80065i −0.0534581 0.199508i
\(580\) −0.0771690 + 4.08935i −0.00320427 + 0.169801i
\(581\) 7.82224 13.5485i 0.324521 0.562088i
\(582\) 0.582569 2.17418i 0.0241483 0.0901226i
\(583\) −0.646493 + 0.373253i −0.0267750 + 0.0154585i
\(584\) 16.1644 0.668889
\(585\) 7.19657 3.63447i 0.297541 0.150267i
\(586\) 21.1865 0.875206
\(587\) 23.2358 13.4152i 0.959044 0.553704i 0.0631651 0.998003i \(-0.479881\pi\)
0.895879 + 0.444299i \(0.146547\pi\)
\(588\) −0.123305 + 0.460182i −0.00508502 + 0.0189776i
\(589\) 0.0997495 0.172771i 0.00411011 0.00711892i
\(590\) −8.24951 8.56685i −0.339627 0.352691i
\(591\) 6.37880 + 23.8060i 0.262389 + 0.979249i
\(592\) 3.55220 6.15259i 0.145995 0.252870i
\(593\) 35.9821i 1.47761i −0.673919 0.738805i \(-0.735391\pi\)
0.673919 0.738805i \(-0.264609\pi\)
\(594\) −0.804972 0.464751i −0.0330284 0.0190689i
\(595\) 3.02866 10.5060i 0.124163 0.430706i
\(596\) 0.311485 1.16248i 0.0127589 0.0476170i
\(597\) 8.35230 + 8.35230i 0.341837 + 0.341837i
\(598\) −2.11722 + 6.87196i −0.0865796 + 0.281016i
\(599\) 18.2895i 0.747289i −0.927572 0.373645i \(-0.878108\pi\)
0.927572 0.373645i \(-0.121892\pi\)
\(600\) 4.77737 + 1.47539i 0.195035 + 0.0602324i
\(601\) −3.52581 6.10689i −0.143821 0.249105i 0.785112 0.619354i \(-0.212606\pi\)
−0.928932 + 0.370249i \(0.879272\pi\)
\(602\) −3.53883 + 0.948226i −0.144232 + 0.0386468i
\(603\) 13.8096 0.562372
\(604\) 8.07762 2.16439i 0.328674 0.0880679i
\(605\) 19.4110 + 11.7007i 0.789170 + 0.475703i
\(606\) −8.46963 8.46963i −0.344055 0.344055i
\(607\) −1.49392 5.57537i −0.0606362 0.226297i 0.928958 0.370186i \(-0.120706\pi\)
−0.989594 + 0.143888i \(0.954039\pi\)
\(608\) 0.321456 + 0.0861340i 0.0130368 + 0.00349319i
\(609\) −4.51267 1.20917i −0.182863 0.0489979i
\(610\) −0.455208 + 24.1224i −0.0184308 + 0.976689i
\(611\) 14.6160 23.2785i 0.591302 0.941746i
\(612\) −1.35373 + 1.35373i −0.0547212 + 0.0547212i
\(613\) −1.46671 2.54042i −0.0592398 0.102606i 0.834885 0.550425i \(-0.185534\pi\)
−0.894124 + 0.447819i \(0.852201\pi\)
\(614\) −24.4975 + 14.1437i −0.988640 + 0.570792i
\(615\) 12.8453 21.3099i 0.517974 0.859296i
\(616\) −1.67872 + 1.67872i −0.0676375 + 0.0676375i
\(617\) −24.4109 14.0936i −0.982745 0.567388i −0.0796474 0.996823i \(-0.525379\pi\)
−0.903098 + 0.429435i \(0.858713\pi\)
\(618\) 12.7127 + 7.33967i 0.511379 + 0.295245i
\(619\) 10.6789 10.6789i 0.429223 0.429223i −0.459141 0.888364i \(-0.651843\pi\)
0.888364 + 0.459141i \(0.151843\pi\)
\(620\) 0.322441 + 1.30108i 0.0129495 + 0.0522527i
\(621\) 1.72716 0.997174i 0.0693084 0.0400152i
\(622\) 2.83350 + 4.90777i 0.113613 + 0.196783i
\(623\) −12.9113 + 12.9113i −0.517282 + 0.517282i
\(624\) −1.06161 + 3.44572i −0.0424984 + 0.137939i
\(625\) 24.9288 + 1.88506i 0.997153 + 0.0754023i
\(626\) −16.6717 4.46717i −0.666335 0.178544i
\(627\) −0.298794 0.0800616i −0.0119327 0.00319735i
\(628\) 0.0840373 + 0.313631i 0.00335345 + 0.0125153i
\(629\) 9.61742 + 9.61742i 0.383472 + 0.383472i
\(630\) −2.94842 + 4.89130i −0.117468 + 0.194874i
\(631\) 40.7498 10.9189i 1.62222 0.434673i 0.670569 0.741847i \(-0.266050\pi\)
0.951653 + 0.307174i \(0.0993834\pi\)
\(632\) −10.6347 −0.423027
\(633\) −11.5882 + 3.10505i −0.460590 + 0.123415i
\(634\) −10.2260 17.7120i −0.406128 0.703434i
\(635\) −7.25164 + 25.1551i −0.287773 + 0.998248i
\(636\) 0.803125i 0.0318460i
\(637\) −1.71656 0.0636581i −0.0680125 0.00252223i
\(638\) 1.20221 + 1.20221i 0.0475961 + 0.0475961i
\(639\) −3.55539 + 13.2689i −0.140649 + 0.524909i
\(640\) −1.95724 + 1.08130i −0.0773668 + 0.0427421i
\(641\) −8.80424 5.08313i −0.347747 0.200772i 0.315946 0.948777i \(-0.397678\pi\)
−0.663692 + 0.748006i \(0.731012\pi\)
\(642\) 9.54591i 0.376747i
\(643\) 8.87986 15.3804i 0.350187 0.606542i −0.636095 0.771611i \(-0.719451\pi\)
0.986282 + 0.165069i \(0.0527846\pi\)
\(644\) −1.31838 4.92026i −0.0519514 0.193885i
\(645\) 3.20686 + 0.0605158i 0.126270 + 0.00238281i
\(646\) −0.318562 + 0.551766i −0.0125337 + 0.0217090i
\(647\) −6.45138 + 24.0769i −0.253630 + 0.946560i 0.715217 + 0.698902i \(0.246328\pi\)
−0.968847 + 0.247658i \(0.920339\pi\)
\(648\) 0.866025 0.500000i 0.0340207 0.0196419i
\(649\) −4.94378 −0.194060
\(650\) −1.34730 + 17.9773i −0.0528456 + 0.705129i
\(651\) −1.53111 −0.0600089
\(652\) 11.3642 6.56113i 0.445057 0.256954i
\(653\) 8.56830 31.9773i 0.335303 1.25137i −0.568237 0.822865i \(-0.692374\pi\)
0.903540 0.428504i \(-0.140959\pi\)
\(654\) 3.23077 5.59586i 0.126333 0.218815i
\(655\) −39.7252 0.749644i −1.55219 0.0292910i
\(656\) 2.88002 + 10.7484i 0.112446 + 0.419654i
\(657\) 8.08222 13.9988i 0.315317 0.546146i
\(658\) 19.4712i 0.759067i
\(659\) −8.13924 4.69919i −0.317060 0.183054i 0.333022 0.942919i \(-0.391932\pi\)
−0.650081 + 0.759865i \(0.725265\pi\)
\(660\) 1.81926 1.00507i 0.0708145 0.0391222i
\(661\) 2.95629 11.0330i 0.114986 0.429135i −0.884300 0.466920i \(-0.845364\pi\)
0.999286 + 0.0377851i \(0.0120302\pi\)
\(662\) −23.3829 23.3829i −0.908801 0.908801i
\(663\) −5.84589 3.67051i −0.227036 0.142551i
\(664\) 6.12517i 0.237703i
\(665\) −0.526480 + 1.82630i −0.0204160 + 0.0708208i
\(666\) −3.55220 6.15259i −0.137645 0.238408i
\(667\) −3.52364 + 0.944156i −0.136436 + 0.0365579i
\(668\) 0.449063 0.0173748
\(669\) 7.55623 2.02469i 0.292141 0.0782789i
\(670\) −15.9414 + 26.4462i −0.615872 + 1.02170i
\(671\) 7.09167 + 7.09167i 0.273771 + 0.273771i
\(672\) −0.661058 2.46710i −0.0255009 0.0951705i
\(673\) −5.16931 1.38511i −0.199262 0.0533922i 0.157807 0.987470i \(-0.449557\pi\)
−0.357070 + 0.934078i \(0.616224\pi\)
\(674\) −33.5557 8.99121i −1.29252 0.346328i
\(675\) 3.66641 3.39963i 0.141120 0.130852i
\(676\) −12.9643 0.962879i −0.498627 0.0370338i
\(677\) 1.55730 1.55730i 0.0598517 0.0598517i −0.676547 0.736399i \(-0.736525\pi\)
0.736399 + 0.676547i \(0.236525\pi\)
\(678\) 7.44037 + 12.8871i 0.285746 + 0.494926i
\(679\) −4.97880 + 2.87451i −0.191069 + 0.110314i
\(680\) −1.02976 4.15516i −0.0394893 0.159343i
\(681\) −2.86372 + 2.86372i −0.109738 + 0.109738i
\(682\) 0.482551 + 0.278601i 0.0184778 + 0.0106682i
\(683\) −34.4413 19.8847i −1.31786 0.760867i −0.334476 0.942404i \(-0.608559\pi\)
−0.983384 + 0.181537i \(0.941893\pi\)
\(684\) 0.235322 0.235322i 0.00899778 0.00899778i
\(685\) 13.8879 23.0395i 0.530631 0.880294i
\(686\) 16.5374 9.54787i 0.631401 0.364539i
\(687\) 6.69561 + 11.5971i 0.255453 + 0.442458i
\(688\) −1.01428 + 1.01428i −0.0386690 + 0.0386690i
\(689\) 2.82289 0.645293i 0.107544 0.0245837i
\(690\) −0.0841390 + 4.45870i −0.00320312 + 0.169740i
\(691\) 26.0006 + 6.96685i 0.989110 + 0.265031i 0.716877 0.697200i \(-0.245571\pi\)
0.272234 + 0.962231i \(0.412238\pi\)
\(692\) 0.929886 + 0.249162i 0.0353490 + 0.00947173i
\(693\) 0.614454 + 2.29317i 0.0233412 + 0.0871105i
\(694\) −3.22756 3.22756i −0.122517 0.122517i
\(695\) −4.69639 2.83093i −0.178144 0.107383i
\(696\) −1.76681 + 0.473416i −0.0669708 + 0.0179448i
\(697\) −21.3033 −0.806918
\(698\) 17.4957 4.68796i 0.662222 0.177442i
\(699\) −4.60022 7.96782i −0.173996 0.301371i
\(700\) −5.96352 11.2927i −0.225400 0.426826i
\(701\) 15.5746i 0.588246i 0.955768 + 0.294123i \(0.0950275\pi\)
−0.955768 + 0.294123i \(0.904973\pi\)
\(702\) 2.45328 + 2.64224i 0.0925929 + 0.0997250i
\(703\) −1.67182 1.67182i −0.0630541 0.0630541i
\(704\) −0.240573 + 0.897829i −0.00906692 + 0.0338382i
\(705\) 4.72184 16.3795i 0.177835 0.616887i
\(706\) −27.9524 16.1383i −1.05200 0.607375i
\(707\) 30.5930i 1.15057i
\(708\) 2.65937 4.60617i 0.0999453 0.173110i
\(709\) −7.73226 28.8572i −0.290391 1.08375i −0.944809 0.327621i \(-0.893753\pi\)
0.654418 0.756133i \(-0.272914\pi\)
\(710\) −21.3064 22.1260i −0.799614 0.830373i
\(711\) −5.31737 + 9.20995i −0.199417 + 0.345400i
\(712\) −1.85029 + 6.90537i −0.0693425 + 0.258790i
\(713\) −1.03537 + 0.597769i −0.0387748 + 0.0223866i
\(714\) 4.88978 0.182995
\(715\) 4.99443 + 5.58693i 0.186781 + 0.208939i
\(716\) −13.5800 −0.507507
\(717\) 6.33434 3.65713i 0.236560 0.136578i
\(718\) 4.71180 17.5847i 0.175843 0.656254i
\(719\) −15.1348 + 26.2143i −0.564434 + 0.977629i 0.432668 + 0.901553i \(0.357572\pi\)
−0.997102 + 0.0760753i \(0.975761\pi\)
\(720\) −0.0421887 + 2.23567i −0.00157228 + 0.0833185i
\(721\) −9.70389 36.2154i −0.361392 1.34873i
\(722\) −9.44462 + 16.3586i −0.351492 + 0.608803i
\(723\) 24.1795i 0.899247i
\(724\) 2.18861 + 1.26359i 0.0813390 + 0.0469611i
\(725\) −8.08729 + 4.27077i −0.300354 + 0.158612i
\(726\) −2.62340 + 9.79065i −0.0973634 + 0.363365i
\(727\) −9.48865 9.48865i −0.351914 0.351914i 0.508907 0.860821i \(-0.330050\pi\)
−0.860821 + 0.508907i \(0.830050\pi\)
\(728\) 8.14043 4.30580i 0.301705 0.159584i
\(729\) 1.00000i 0.0370370i
\(730\) 17.4786 + 31.6377i 0.646911 + 1.17096i
\(731\) −1.37306 2.37820i −0.0507844 0.0879611i
\(732\) −10.4221 + 2.79261i −0.385214 + 0.103218i
\(733\) 0.901657 0.0333035 0.0166517 0.999861i \(-0.494699\pi\)
0.0166517 + 0.999861i \(0.494699\pi\)
\(734\) −1.72948 + 0.463412i −0.0638361 + 0.0171048i
\(735\) −1.03402 + 0.256255i −0.0381403 + 0.00945212i
\(736\) −1.41022 1.41022i −0.0519813 0.0519813i
\(737\) 3.32222 + 12.3987i 0.122376 + 0.456712i
\(738\) 10.7484 + 2.88002i 0.395654 + 0.106015i
\(739\) 13.1665 + 3.52796i 0.484338 + 0.129778i 0.492722 0.870187i \(-0.336002\pi\)
−0.00838356 + 0.999965i \(0.502669\pi\)
\(740\) 15.8831 + 0.299726i 0.583874 + 0.0110181i
\(741\) 1.01621 + 0.638055i 0.0373313 + 0.0234395i
\(742\) −1.45048 + 1.45048i −0.0532487 + 0.0532487i
\(743\) 7.97875 + 13.8196i 0.292712 + 0.506992i 0.974450 0.224604i \(-0.0721089\pi\)
−0.681738 + 0.731596i \(0.738776\pi\)
\(744\) −0.519150 + 0.299732i −0.0190330 + 0.0109887i
\(745\) 2.61206 0.647334i 0.0956984 0.0237165i
\(746\) −16.0822 + 16.0822i −0.588812 + 0.588812i
\(747\) −5.30455 3.06259i −0.194083 0.112054i
\(748\) −1.54109 0.889746i −0.0563477 0.0325324i
\(749\) 17.2403 17.2403i 0.629948 0.629948i
\(750\) 2.27807 + 10.9458i 0.0831834 + 0.399684i
\(751\) 9.96702 5.75446i 0.363702 0.209983i −0.307002 0.951709i \(-0.599326\pi\)
0.670703 + 0.741726i \(0.265992\pi\)
\(752\) 3.81171 + 6.60208i 0.138999 + 0.240753i
\(753\) −12.0825 + 12.0825i −0.440311 + 0.440311i
\(754\) −3.08360 5.82976i −0.112298 0.212307i
\(755\) 12.9706 + 13.4695i 0.472047 + 0.490205i
\(756\) −2.46710 0.661058i −0.0897276 0.0240424i
\(757\) 33.1351 + 8.87853i 1.20432 + 0.322696i 0.804530 0.593912i \(-0.202417\pi\)
0.399787 + 0.916608i \(0.369084\pi\)
\(758\) 8.36754 + 31.2281i 0.303923 + 1.13426i
\(759\) 1.31080 + 1.31080i 0.0475790 + 0.0475790i
\(760\) 0.179005 + 0.722304i 0.00649321 + 0.0262007i
\(761\) −2.75261 + 0.737561i −0.0997822 + 0.0267366i −0.308365 0.951268i \(-0.599782\pi\)
0.208582 + 0.978005i \(0.433115\pi\)
\(762\) −11.7078 −0.424129
\(763\) −15.9413 + 4.27145i −0.577113 + 0.154637i
\(764\) −1.37683 2.38473i −0.0498118 0.0862766i
\(765\) −4.11336 1.18579i −0.148719 0.0428723i
\(766\) 35.5240i 1.28353i
\(767\) 18.3269 + 5.64643i 0.661746 + 0.203881i
\(768\) −0.707107 0.707107i −0.0255155 0.0255155i
\(769\) −9.18781 + 34.2894i −0.331321 + 1.23651i 0.576482 +