Properties

Label 576.2.bl.a.11.4
Level $576$
Weight $2$
Character 576.11
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40127 - 0.190903i) q^{2} +(-0.555798 - 1.64045i) q^{3} +(1.92711 + 0.535013i) q^{4} +(-0.879249 - 0.433598i) q^{5} +(0.465655 + 2.40482i) q^{6} +(-3.05138 - 3.97664i) q^{7} +(-2.59827 - 1.11759i) q^{8} +(-2.38218 + 1.82352i) q^{9} +O(q^{10})\) \(q+(-1.40127 - 0.190903i) q^{2} +(-0.555798 - 1.64045i) q^{3} +(1.92711 + 0.535013i) q^{4} +(-0.879249 - 0.433598i) q^{5} +(0.465655 + 2.40482i) q^{6} +(-3.05138 - 3.97664i) q^{7} +(-2.59827 - 1.11759i) q^{8} +(-2.38218 + 1.82352i) q^{9} +(1.14929 + 0.775439i) q^{10} +(2.06133 + 1.80774i) q^{11} +(-0.193420 - 3.45870i) q^{12} +(-5.93848 - 0.389228i) q^{13} +(3.51666 + 6.15486i) q^{14} +(-0.222612 + 1.68336i) q^{15} +(3.42752 + 2.06206i) q^{16} +(4.41144 + 4.41144i) q^{17} +(3.68619 - 2.10048i) q^{18} +(1.16778 - 1.74771i) q^{19} +(-1.46243 - 1.30600i) q^{20} +(-4.82754 + 7.21586i) q^{21} +(-2.54337 - 2.92664i) q^{22} +(-0.346500 + 0.451567i) q^{23} +(-0.389243 + 4.88349i) q^{24} +(-2.45874 - 3.20429i) q^{25} +(8.24710 + 1.67909i) q^{26} +(4.31541 + 2.89434i) q^{27} +(-3.75280 - 9.29596i) q^{28} +(-1.12262 + 3.30713i) q^{29} +(0.633298 - 2.31634i) q^{30} +(0.0585556 + 0.101421i) q^{31} +(-4.40923 - 3.54383i) q^{32} +(1.81983 - 4.38625i) q^{33} +(-5.33946 - 7.02378i) q^{34} +(0.958664 + 4.81953i) q^{35} +(-5.56633 + 2.23963i) q^{36} +(2.22576 - 1.48721i) q^{37} +(-1.97002 + 2.22607i) q^{38} +(2.66208 + 9.95813i) q^{39} +(1.79994 + 2.10924i) q^{40} +(-5.78272 - 4.43724i) q^{41} +(8.14221 - 9.18977i) q^{42} +(6.20046 + 5.43765i) q^{43} +(3.00525 + 4.58655i) q^{44} +(2.88520 - 0.570423i) q^{45} +(0.571745 - 0.566620i) q^{46} +(0.187150 + 0.698454i) q^{47} +(1.47771 - 6.76878i) q^{48} +(-4.69099 + 17.5070i) q^{49} +(2.83364 + 4.95945i) q^{50} +(4.78490 - 9.68864i) q^{51} +(-11.2359 - 3.92725i) q^{52} +(2.93681 + 0.584167i) q^{53} +(-5.49452 - 4.87958i) q^{54} +(-1.02859 - 2.48324i) q^{55} +(3.48406 + 13.7426i) q^{56} +(-3.51608 - 0.944317i) q^{57} +(2.20443 - 4.41986i) q^{58} +(-2.82777 + 5.73414i) q^{59} +(-1.32962 + 3.12492i) q^{60} +(-4.78134 + 14.0854i) q^{61} +(-0.0626906 - 0.153297i) q^{62} +(14.5204 + 3.90880i) q^{63} +(5.50199 + 5.80759i) q^{64} +(5.05263 + 2.91714i) q^{65} +(-3.38742 + 5.79891i) q^{66} +(3.61240 - 3.16799i) q^{67} +(6.14116 + 10.8615i) q^{68} +(0.933359 + 0.317437i) q^{69} +(-0.423283 - 6.93647i) q^{70} +(-3.60738 - 1.49422i) q^{71} +(8.22748 - 2.07570i) q^{72} +(-3.24012 + 1.34210i) q^{73} +(-3.40281 + 1.65907i) q^{74} +(-3.88992 + 5.81438i) q^{75} +(3.18549 - 2.74325i) q^{76} +(0.898814 - 13.7133i) q^{77} +(-1.82926 - 14.4622i) q^{78} +(-1.75457 - 6.54816i) q^{79} +(-2.11954 - 3.29923i) q^{80} +(2.34954 - 8.68790i) q^{81} +(7.25607 + 7.32171i) q^{82} +(-15.1674 + 7.47972i) q^{83} +(-13.1638 + 11.3230i) q^{84} +(-1.96597 - 5.79155i) q^{85} +(-7.65044 - 8.80330i) q^{86} +(6.04914 + 0.00350914i) q^{87} +(-3.33558 - 7.00070i) q^{88} +(4.73059 + 1.95948i) q^{89} +(-4.15184 + 0.248523i) q^{90} +(16.5727 + 24.8029i) q^{91} +(-0.909338 + 0.684839i) q^{92} +(0.133832 - 0.152428i) q^{93} +(-0.128911 - 1.01445i) q^{94} +(-1.78457 + 1.03032i) q^{95} +(-3.36285 + 9.20279i) q^{96} +(-7.12705 - 4.11480i) q^{97} +(9.91548 - 23.6365i) q^{98} +(-8.20690 - 0.547472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40127 0.190903i −0.990847 0.134989i
\(3\) −0.555798 1.64045i −0.320890 0.947116i
\(4\) 1.92711 + 0.535013i 0.963556 + 0.267507i
\(5\) −0.879249 0.433598i −0.393212 0.193911i 0.234925 0.972014i \(-0.424516\pi\)
−0.628137 + 0.778103i \(0.716182\pi\)
\(6\) 0.465655 + 2.40482i 0.190103 + 0.981764i
\(7\) −3.05138 3.97664i −1.15331 1.50303i −0.830893 0.556432i \(-0.812170\pi\)
−0.322421 0.946596i \(-0.604497\pi\)
\(8\) −2.59827 1.11759i −0.918626 0.395128i
\(9\) −2.38218 + 1.82352i −0.794059 + 0.607841i
\(10\) 1.14929 + 0.775439i 0.363437 + 0.245215i
\(11\) 2.06133 + 1.80774i 0.621514 + 0.545053i 0.911145 0.412085i \(-0.135199\pi\)
−0.289631 + 0.957138i \(0.593533\pi\)
\(12\) −0.193420 3.45870i −0.0558356 0.998440i
\(13\) −5.93848 0.389228i −1.64704 0.107953i −0.786585 0.617483i \(-0.788153\pi\)
−0.860453 + 0.509530i \(0.829819\pi\)
\(14\) 3.51666 + 6.15486i 0.939866 + 1.64496i
\(15\) −0.222612 + 1.68336i −0.0574782 + 0.434642i
\(16\) 3.42752 + 2.06206i 0.856880 + 0.515515i
\(17\) 4.41144 + 4.41144i 1.06993 + 1.06993i 0.997363 + 0.0725684i \(0.0231196\pi\)
0.0725684 + 0.997363i \(0.476880\pi\)
\(18\) 3.68619 2.10048i 0.868843 0.495088i
\(19\) 1.16778 1.74771i 0.267907 0.400951i −0.672986 0.739655i \(-0.734989\pi\)
0.940893 + 0.338704i \(0.109989\pi\)
\(20\) −1.46243 1.30600i −0.327009 0.292031i
\(21\) −4.82754 + 7.21586i −1.05346 + 1.57463i
\(22\) −2.54337 2.92664i −0.542249 0.623962i
\(23\) −0.346500 + 0.451567i −0.0722502 + 0.0941583i −0.828080 0.560609i \(-0.810567\pi\)
0.755830 + 0.654768i \(0.227234\pi\)
\(24\) −0.389243 + 4.88349i −0.0794538 + 0.996839i
\(25\) −2.45874 3.20429i −0.491747 0.640857i
\(26\) 8.24710 + 1.67909i 1.61739 + 0.329296i
\(27\) 4.31541 + 2.89434i 0.830501 + 0.557016i
\(28\) −3.75280 9.29596i −0.709213 1.75677i
\(29\) −1.12262 + 3.30713i −0.208465 + 0.614118i 0.791531 + 0.611130i \(0.209285\pi\)
−0.999996 + 0.00298845i \(0.999049\pi\)
\(30\) 0.633298 2.31634i 0.115624 0.422905i
\(31\) 0.0585556 + 0.101421i 0.0105169 + 0.0182158i 0.871236 0.490864i \(-0.163319\pi\)
−0.860719 + 0.509080i \(0.829986\pi\)
\(32\) −4.40923 3.54383i −0.779449 0.626466i
\(33\) 1.81983 4.38625i 0.316791 0.763548i
\(34\) −5.33946 7.02378i −0.915710 1.20457i
\(35\) 0.958664 + 4.81953i 0.162044 + 0.814649i
\(36\) −5.56633 + 2.23963i −0.927722 + 0.373272i
\(37\) 2.22576 1.48721i 0.365913 0.244495i −0.358997 0.933339i \(-0.616881\pi\)
0.724910 + 0.688843i \(0.241881\pi\)
\(38\) −1.97002 + 2.22607i −0.319579 + 0.361117i
\(39\) 2.66208 + 9.95813i 0.426274 + 1.59458i
\(40\) 1.79994 + 2.10924i 0.284596 + 0.333501i
\(41\) −5.78272 4.43724i −0.903109 0.692980i 0.0489802 0.998800i \(-0.484403\pi\)
−0.952089 + 0.305820i \(0.901070\pi\)
\(42\) 8.14221 9.18977i 1.25637 1.41801i
\(43\) 6.20046 + 5.43765i 0.945561 + 0.829234i 0.985449 0.169970i \(-0.0543670\pi\)
−0.0398887 + 0.999204i \(0.512700\pi\)
\(44\) 3.00525 + 4.58655i 0.453058 + 0.691449i
\(45\) 2.88520 0.570423i 0.430101 0.0850337i
\(46\) 0.571745 0.566620i 0.0842992 0.0835435i
\(47\) 0.187150 + 0.698454i 0.0272986 + 0.101880i 0.978231 0.207519i \(-0.0665389\pi\)
−0.950932 + 0.309399i \(0.899872\pi\)
\(48\) 1.47771 6.76878i 0.213289 0.976989i
\(49\) −4.69099 + 17.5070i −0.670141 + 2.50100i
\(50\) 2.83364 + 4.95945i 0.400738 + 0.701372i
\(51\) 4.78490 9.68864i 0.670020 1.35668i
\(52\) −11.2359 3.92725i −1.55813 0.544612i
\(53\) 2.93681 + 0.584167i 0.403402 + 0.0802416i 0.392621 0.919700i \(-0.371568\pi\)
0.0107805 + 0.999942i \(0.496568\pi\)
\(54\) −5.49452 4.87958i −0.747709 0.664027i
\(55\) −1.02859 2.48324i −0.138695 0.334840i
\(56\) 3.48406 + 13.7426i 0.465577 + 1.83643i
\(57\) −3.51608 0.944317i −0.465716 0.125078i
\(58\) 2.20443 4.41986i 0.289456 0.580357i
\(59\) −2.82777 + 5.73414i −0.368144 + 0.746522i −0.999582 0.0289042i \(-0.990798\pi\)
0.631438 + 0.775426i \(0.282465\pi\)
\(60\) −1.32962 + 3.12492i −0.171653 + 0.403426i
\(61\) −4.78134 + 14.0854i −0.612188 + 1.80345i −0.0170088 + 0.999855i \(0.505414\pi\)
−0.595179 + 0.803593i \(0.702919\pi\)
\(62\) −0.0626906 0.153297i −0.00796171 0.0194687i
\(63\) 14.5204 + 3.90880i 1.82940 + 0.492462i
\(64\) 5.50199 + 5.80759i 0.687748 + 0.725949i
\(65\) 5.05263 + 2.91714i 0.626702 + 0.361827i
\(66\) −3.38742 + 5.79891i −0.416962 + 0.713796i
\(67\) 3.61240 3.16799i 0.441324 0.387031i −0.409646 0.912244i \(-0.634348\pi\)
0.850971 + 0.525213i \(0.176014\pi\)
\(68\) 6.14116 + 10.8615i 0.744725 + 1.31715i
\(69\) 0.933359 + 0.317437i 0.112363 + 0.0382149i
\(70\) −0.423283 6.93647i −0.0505920 0.829067i
\(71\) −3.60738 1.49422i −0.428117 0.177332i 0.158212 0.987405i \(-0.449427\pi\)
−0.586328 + 0.810073i \(0.699427\pi\)
\(72\) 8.22748 2.07570i 0.969618 0.244624i
\(73\) −3.24012 + 1.34210i −0.379227 + 0.157081i −0.564151 0.825672i \(-0.690796\pi\)
0.184923 + 0.982753i \(0.440796\pi\)
\(74\) −3.40281 + 1.65907i −0.395568 + 0.192863i
\(75\) −3.88992 + 5.81438i −0.449170 + 0.671386i
\(76\) 3.18549 2.74325i 0.365400 0.314672i
\(77\) 0.898814 13.7133i 0.102429 1.56277i
\(78\) −1.82926 14.4622i −0.207123 1.63752i
\(79\) −1.75457 6.54816i −0.197405 0.736726i −0.991631 0.129103i \(-0.958790\pi\)
0.794226 0.607622i \(-0.207877\pi\)
\(80\) −2.11954 3.29923i −0.236972 0.368865i
\(81\) 2.34954 8.68790i 0.261060 0.965323i
\(82\) 7.25607 + 7.32171i 0.801299 + 0.808547i
\(83\) −15.1674 + 7.47972i −1.66484 + 0.821006i −0.667778 + 0.744361i \(0.732754\pi\)
−0.997058 + 0.0766454i \(0.975579\pi\)
\(84\) −13.1638 + 11.3230i −1.43629 + 1.23544i
\(85\) −1.96597 5.79155i −0.213239 0.628182i
\(86\) −7.65044 8.80330i −0.824969 0.949285i
\(87\) 6.04914 + 0.00350914i 0.648536 + 0.000376219i
\(88\) −3.33558 7.00070i −0.355574 0.746278i
\(89\) 4.73059 + 1.95948i 0.501442 + 0.207704i 0.619043 0.785357i \(-0.287521\pi\)
−0.117602 + 0.993061i \(0.537521\pi\)
\(90\) −4.15184 + 0.248523i −0.437642 + 0.0261966i
\(91\) 16.5727 + 24.8029i 1.73730 + 2.60005i
\(92\) −0.909338 + 0.684839i −0.0948051 + 0.0713994i
\(93\) 0.133832 0.152428i 0.0138777 0.0158060i
\(94\) −0.128911 1.01445i −0.0132961 0.104632i
\(95\) −1.78457 + 1.03032i −0.183093 + 0.105709i
\(96\) −3.36285 + 9.20279i −0.343219 + 0.939255i
\(97\) −7.12705 4.11480i −0.723642 0.417795i 0.0924494 0.995717i \(-0.470530\pi\)
−0.816092 + 0.577922i \(0.803864\pi\)
\(98\) 9.91548 23.6365i 1.00161 2.38765i
\(99\) −8.20690 0.547472i −0.824824 0.0550230i
\(100\) −3.02392 7.49047i −0.302392 0.749047i
\(101\) −9.68656 + 0.634890i −0.963848 + 0.0631740i −0.539194 0.842182i \(-0.681271\pi\)
−0.424654 + 0.905356i \(0.639604\pi\)
\(102\) −8.55452 + 12.6629i −0.847024 + 1.25382i
\(103\) 0.00307183 + 0.0233329i 0.000302677 + 0.00229906i 0.991596 0.129377i \(-0.0412976\pi\)
−0.991293 + 0.131676i \(0.957964\pi\)
\(104\) 14.9948 + 7.64810i 1.47036 + 0.749958i
\(105\) 7.37339 4.25133i 0.719569 0.414887i
\(106\) −4.00374 1.37922i −0.388878 0.133962i
\(107\) −11.3462 2.25689i −1.09688 0.218182i −0.386699 0.922206i \(-0.626385\pi\)
−0.710177 + 0.704024i \(0.751385\pi\)
\(108\) 6.76777 + 7.88653i 0.651229 + 0.758881i
\(109\) −6.43133 4.29728i −0.616010 0.411604i 0.208041 0.978120i \(-0.433291\pi\)
−0.824051 + 0.566516i \(0.808291\pi\)
\(110\) 0.967275 + 3.67605i 0.0922261 + 0.350497i
\(111\) −3.67677 2.82467i −0.348983 0.268106i
\(112\) −2.25860 19.9222i −0.213418 1.88247i
\(113\) −3.12134 0.836360i −0.293631 0.0786781i 0.108997 0.994042i \(-0.465236\pi\)
−0.402627 + 0.915364i \(0.631903\pi\)
\(114\) 4.74670 + 1.99447i 0.444569 + 0.186800i
\(115\) 0.500458 0.246799i 0.0466680 0.0230141i
\(116\) −3.93277 + 5.77259i −0.365148 + 0.535971i
\(117\) 14.8563 9.90173i 1.37346 0.915415i
\(118\) 5.05713 7.49525i 0.465546 0.689994i
\(119\) 4.08172 31.0037i 0.374170 2.84211i
\(120\) 2.45971 4.12503i 0.224540 0.376562i
\(121\) −0.454624 3.45321i −0.0413294 0.313928i
\(122\) 9.38889 18.8246i 0.850030 1.70430i
\(123\) −4.06506 + 11.9525i −0.366534 + 1.07772i
\(124\) 0.0585815 + 0.226778i 0.00526077 + 0.0203653i
\(125\) 1.72875 + 8.69103i 0.154624 + 0.777349i
\(126\) −19.6008 8.24927i −1.74618 0.734903i
\(127\) 14.7610i 1.30982i −0.755706 0.654912i \(-0.772706\pi\)
0.755706 0.654912i \(-0.227294\pi\)
\(128\) −6.60108 9.18835i −0.583458 0.812143i
\(129\) 5.47402 13.1938i 0.481960 1.16165i
\(130\) −6.52321 5.05226i −0.572123 0.443113i
\(131\) 9.85375 + 11.2360i 0.860926 + 0.981698i 0.999963 0.00858899i \(-0.00273400\pi\)
−0.139037 + 0.990287i \(0.544401\pi\)
\(132\) 5.85371 7.47917i 0.509500 0.650978i
\(133\) −10.5133 + 0.689080i −0.911622 + 0.0597508i
\(134\) −5.66672 + 3.74958i −0.489530 + 0.323915i
\(135\) −2.53934 4.41600i −0.218552 0.380069i
\(136\) −6.53192 16.3923i −0.560108 1.40563i
\(137\) −13.3408 1.75635i −1.13978 0.150055i −0.463082 0.886315i \(-0.653256\pi\)
−0.676698 + 0.736261i \(0.736590\pi\)
\(138\) −1.24729 0.622996i −0.106176 0.0530329i
\(139\) −3.62497 10.6788i −0.307466 0.905765i −0.985342 0.170589i \(-0.945433\pi\)
0.677877 0.735176i \(-0.262900\pi\)
\(140\) −0.731060 + 9.80067i −0.0617858 + 0.828308i
\(141\) 1.04176 0.695210i 0.0877323 0.0585473i
\(142\) 4.76965 + 2.78247i 0.400260 + 0.233500i
\(143\) −11.5375 11.5375i −0.964817 0.964817i
\(144\) −11.9252 + 1.33796i −0.993765 + 0.111497i
\(145\) 2.42102 2.42102i 0.201055 0.201055i
\(146\) 4.79649 1.26210i 0.396961 0.104452i
\(147\) 31.3267 2.03501i 2.58378 0.167845i
\(148\) 5.08497 1.67520i 0.417982 0.137701i
\(149\) 6.13668 2.08312i 0.502736 0.170656i −0.0585390 0.998285i \(-0.518644\pi\)
0.561275 + 0.827629i \(0.310311\pi\)
\(150\) 6.56081 7.40491i 0.535688 0.604608i
\(151\) −0.271652 + 2.06340i −0.0221067 + 0.167917i −0.998937 0.0460986i \(-0.985321\pi\)
0.976830 + 0.214016i \(0.0686545\pi\)
\(152\) −4.98742 + 3.23591i −0.404533 + 0.262467i
\(153\) −18.5532 2.46448i −1.49994 0.199241i
\(154\) −3.87738 + 19.0444i −0.312449 + 1.53464i
\(155\) −0.00750893 0.114564i −0.000603132 0.00920202i
\(156\) −0.197602 + 20.6147i −0.0158209 + 1.65050i
\(157\) −4.79002 + 4.20074i −0.382285 + 0.335255i −0.828824 0.559509i \(-0.810990\pi\)
0.446539 + 0.894764i \(0.352656\pi\)
\(158\) 1.20857 + 9.51069i 0.0961484 + 0.756630i
\(159\) −0.673972 5.14238i −0.0534495 0.407817i
\(160\) 2.34021 + 5.02774i 0.185010 + 0.397478i
\(161\) 2.85302 0.224850
\(162\) −4.95088 + 11.7256i −0.388978 + 0.921247i
\(163\) 8.20918 1.63291i 0.642992 0.127899i 0.137185 0.990545i \(-0.456195\pi\)
0.505808 + 0.862646i \(0.331195\pi\)
\(164\) −8.76997 11.6449i −0.684820 0.909313i
\(165\) −3.50195 + 3.06754i −0.272626 + 0.238807i
\(166\) 22.6815 7.58561i 1.76042 0.588757i
\(167\) 3.98383 0.524481i 0.308278 0.0405856i 0.0251998 0.999682i \(-0.491978\pi\)
0.283078 + 0.959097i \(0.408644\pi\)
\(168\) 20.6076 13.3535i 1.58991 1.03025i
\(169\) 22.2252 + 2.92601i 1.70963 + 0.225078i
\(170\) 1.64922 + 8.49083i 0.126490 + 0.651217i
\(171\) 0.405121 + 6.29281i 0.0309804 + 0.481224i
\(172\) 9.03975 + 13.7963i 0.689275 + 1.05196i
\(173\) 4.12292 + 8.36045i 0.313460 + 0.635633i 0.995403 0.0957715i \(-0.0305318\pi\)
−0.681944 + 0.731405i \(0.738865\pi\)
\(174\) −8.47580 1.15972i −0.642549 0.0879179i
\(175\) −5.23975 + 19.5550i −0.396088 + 1.47822i
\(176\) 3.33758 + 10.4466i 0.251580 + 0.787445i
\(177\) 10.9783 + 1.45180i 0.825177 + 0.109124i
\(178\) −6.25476 3.64884i −0.468814 0.273492i
\(179\) −0.988830 + 1.47989i −0.0739086 + 0.110612i −0.866583 0.499034i \(-0.833688\pi\)
0.792674 + 0.609646i \(0.208688\pi\)
\(180\) 5.86529 + 0.444352i 0.437173 + 0.0331201i
\(181\) −3.16347 + 15.9038i −0.235139 + 1.18212i 0.665110 + 0.746745i \(0.268385\pi\)
−0.900249 + 0.435376i \(0.856615\pi\)
\(182\) −18.4879 37.9193i −1.37042 2.81076i
\(183\) 25.7639 + 0.0149458i 1.90452 + 0.00110482i
\(184\) 1.40497 0.786048i 0.103575 0.0579482i
\(185\) −2.60185 + 0.342540i −0.191292 + 0.0251840i
\(186\) −0.216633 + 0.188043i −0.0158843 + 0.0137880i
\(187\) 1.11871 + 17.0682i 0.0818079 + 1.24815i
\(188\) −0.0130229 + 1.44613i −0.000949792 + 0.105470i
\(189\) −1.65822 25.9926i −0.120618 1.89068i
\(190\) 2.69735 1.10308i 0.195687 0.0800257i
\(191\) 6.39384 11.0745i 0.462642 0.801320i −0.536450 0.843932i \(-0.680235\pi\)
0.999092 + 0.0426128i \(0.0135682\pi\)
\(192\) 6.46910 12.2536i 0.466867 0.884328i
\(193\) −12.4690 21.5970i −0.897540 1.55459i −0.830629 0.556826i \(-0.812019\pi\)
−0.0669112 0.997759i \(-0.521314\pi\)
\(194\) 9.20139 + 7.12653i 0.660621 + 0.511655i
\(195\) 1.97719 9.90995i 0.141589 0.709666i
\(196\) −18.4065 + 31.2282i −1.31475 + 2.23059i
\(197\) −15.3914 + 10.2842i −1.09659 + 0.732718i −0.965954 0.258713i \(-0.916702\pi\)
−0.130635 + 0.991430i \(0.541702\pi\)
\(198\) 11.3956 + 2.33388i 0.809847 + 0.165862i
\(199\) 2.28526 5.51711i 0.161998 0.391098i −0.821948 0.569562i \(-0.807113\pi\)
0.983946 + 0.178464i \(0.0571129\pi\)
\(200\) 2.80737 + 11.0734i 0.198511 + 0.783011i
\(201\) −7.20470 4.16521i −0.508180 0.293791i
\(202\) 13.6947 + 0.959541i 0.963554 + 0.0675131i
\(203\) 16.5768 5.62706i 1.16346 0.394942i
\(204\) 14.4046 16.1111i 1.00852 1.12800i
\(205\) 3.16048 + 6.40881i 0.220737 + 0.447611i
\(206\) 0.000149856 0.0332821i 1.04409e−5 0.00231887i
\(207\) 0.00198113 1.70756i 0.000137698 0.118684i
\(208\) −19.5516 13.5796i −1.35566 0.941576i
\(209\) 5.56657 1.49156i 0.385048 0.103173i
\(210\) −11.1437 + 4.54965i −0.768988 + 0.313956i
\(211\) −9.70985 0.636417i −0.668454 0.0438128i −0.272601 0.962127i \(-0.587884\pi\)
−0.395852 + 0.918314i \(0.629551\pi\)
\(212\) 5.34702 + 2.69699i 0.367235 + 0.185230i
\(213\) −0.446233 + 6.74822i −0.0305754 + 0.462380i
\(214\) 15.4682 + 5.32854i 1.05738 + 0.364251i
\(215\) −3.09399 7.46955i −0.211008 0.509419i
\(216\) −7.97791 12.3431i −0.542828 0.839844i
\(217\) 0.224640 0.542330i 0.0152496 0.0368157i
\(218\) 8.19166 + 7.24940i 0.554809 + 0.490991i
\(219\) 4.00251 + 4.56933i 0.270464 + 0.308767i
\(220\) −0.653644 5.33579i −0.0440687 0.359739i
\(221\) −24.4802 27.9143i −1.64672 1.87772i
\(222\) 4.61290 + 4.66004i 0.309598 + 0.312761i
\(223\) 1.86168 3.22452i 0.124667 0.215930i −0.796936 0.604064i \(-0.793547\pi\)
0.921603 + 0.388134i \(0.126880\pi\)
\(224\) −0.638289 + 28.3475i −0.0426475 + 1.89405i
\(225\) 11.7002 + 3.14962i 0.780015 + 0.209975i
\(226\) 4.21417 + 1.76784i 0.280323 + 0.117595i
\(227\) −10.2488 3.47901i −0.680239 0.230910i −0.0401302 0.999194i \(-0.512777\pi\)
−0.640108 + 0.768285i \(0.721111\pi\)
\(228\) −6.27066 3.70095i −0.415284 0.245102i
\(229\) −16.7873 8.27860i −1.10934 0.547065i −0.207107 0.978318i \(-0.566405\pi\)
−0.902231 + 0.431253i \(0.858072\pi\)
\(230\) −0.748391 + 0.250292i −0.0493475 + 0.0165038i
\(231\) −22.9955 + 6.14734i −1.51299 + 0.404465i
\(232\) 6.61287 7.33817i 0.434156 0.481775i
\(233\) −25.0019 + 10.3561i −1.63793 + 0.678453i −0.996087 0.0883812i \(-0.971831\pi\)
−0.641845 + 0.766835i \(0.721831\pi\)
\(234\) −22.7079 + 11.0389i −1.48446 + 0.721635i
\(235\) 0.138296 0.695263i 0.00902146 0.0453539i
\(236\) −8.51727 + 9.53744i −0.554427 + 0.620835i
\(237\) −9.76676 + 6.51775i −0.634420 + 0.423373i
\(238\) −11.6383 + 42.6653i −0.754398 + 2.76558i
\(239\) 15.5586 + 4.16890i 1.00640 + 0.269664i 0.724124 0.689670i \(-0.242244\pi\)
0.282275 + 0.959334i \(0.408911\pi\)
\(240\) −4.23420 + 5.31071i −0.273316 + 0.342805i
\(241\) −2.50949 + 0.672415i −0.161650 + 0.0433141i −0.338736 0.940881i \(-0.610000\pi\)
0.177086 + 0.984195i \(0.443333\pi\)
\(242\) −0.0221783 + 4.92567i −0.00142567 + 0.316634i
\(243\) −15.5580 + 0.974412i −0.998044 + 0.0625085i
\(244\) −16.7501 + 24.5860i −1.07231 + 1.57396i
\(245\) 11.7155 13.3590i 0.748479 0.853476i
\(246\) 7.97801 15.9726i 0.508659 1.01838i
\(247\) −7.61509 + 9.92418i −0.484536 + 0.631460i
\(248\) −0.0387958 0.328961i −0.00246353 0.0208890i
\(249\) 20.7001 + 20.7242i 1.31182 + 1.31334i
\(250\) −0.763305 12.5085i −0.0482756 0.791107i
\(251\) −13.7572 20.5891i −0.868347 1.29957i −0.952940 0.303158i \(-0.901959\pi\)
0.0845928 0.996416i \(-0.473041\pi\)
\(252\) 25.8912 + 15.3013i 1.63099 + 0.963892i
\(253\) −1.53057 + 0.304448i −0.0962258 + 0.0191405i
\(254\) −2.81791 + 20.6841i −0.176812 + 1.29783i
\(255\) −8.40809 + 6.44401i −0.526535 + 0.403539i
\(256\) 7.49580 + 14.1355i 0.468488 + 0.883470i
\(257\) 20.4339 11.7975i 1.27463 0.735909i 0.298775 0.954323i \(-0.403422\pi\)
0.975856 + 0.218415i \(0.0700885\pi\)
\(258\) −10.1893 + 17.4431i −0.634359 + 1.08596i
\(259\) −12.7057 4.31302i −0.789496 0.267998i
\(260\) 8.17628 + 8.32488i 0.507071 + 0.516287i
\(261\) −3.35634 9.92528i −0.207752 0.614360i
\(262\) −11.6628 17.6258i −0.720528 1.08893i
\(263\) −10.4556 + 8.02289i −0.644722 + 0.494712i −0.878603 0.477553i \(-0.841524\pi\)
0.233881 + 0.972265i \(0.424857\pi\)
\(264\) −9.63043 + 9.36284i −0.592712 + 0.576243i
\(265\) −2.32889 1.78702i −0.143063 0.109776i
\(266\) 14.8636 + 1.04144i 0.911343 + 0.0638548i
\(267\) 0.585175 8.84939i 0.0358122 0.541574i
\(268\) 8.65641 4.17238i 0.528774 0.254869i
\(269\) 20.5328 + 13.7196i 1.25191 + 0.836497i 0.991639 0.129040i \(-0.0411895\pi\)
0.260267 + 0.965537i \(0.416189\pi\)
\(270\) 2.71527 + 6.67277i 0.165246 + 0.406092i
\(271\) −21.4675 + 21.4675i −1.30406 + 1.30406i −0.378429 + 0.925630i \(0.623536\pi\)
−0.925630 + 0.378429i \(0.876464\pi\)
\(272\) 6.02365 + 24.2170i 0.365237 + 1.46837i
\(273\) 31.4769 40.9722i 1.90507 2.47975i
\(274\) 18.3587 + 5.00791i 1.10909 + 0.302539i
\(275\) 0.724244 11.0498i 0.0436736 0.666330i
\(276\) 1.62885 + 1.11110i 0.0980455 + 0.0668801i
\(277\) 7.57571 8.63844i 0.455180 0.519033i −0.478040 0.878338i \(-0.658653\pi\)
0.933220 + 0.359305i \(0.116986\pi\)
\(278\) 3.04094 + 15.6559i 0.182383 + 0.938979i
\(279\) −0.324434 0.134826i −0.0194233 0.00807183i
\(280\) 2.89539 13.5938i 0.173033 0.812386i
\(281\) 15.8903 12.1931i 0.947937 0.727377i −0.0142129 0.999899i \(-0.504524\pi\)
0.962150 + 0.272522i \(0.0878576\pi\)
\(282\) −1.59251 + 0.775301i −0.0948325 + 0.0461685i
\(283\) 1.50599 3.05384i 0.0895216 0.181532i −0.847507 0.530784i \(-0.821898\pi\)
0.937029 + 0.349252i \(0.113564\pi\)
\(284\) −6.15239 4.80953i −0.365077 0.285393i
\(285\) 2.68206 + 2.35485i 0.158871 + 0.139489i
\(286\) 13.9646 + 18.3697i 0.825747 + 1.08623i
\(287\) 36.5355i 2.15662i
\(288\) 16.9658 + 0.401707i 0.999720 + 0.0236708i
\(289\) 21.9216i 1.28951i
\(290\) −3.85469 + 2.93033i −0.226355 + 0.172075i
\(291\) −2.78895 + 13.9786i −0.163491 + 0.819440i
\(292\) −6.96212 + 0.852872i −0.407427 + 0.0499106i
\(293\) −9.52520 + 19.3152i −0.556468 + 1.12841i 0.418943 + 0.908013i \(0.362401\pi\)
−0.975411 + 0.220393i \(0.929266\pi\)
\(294\) −44.2856 3.12877i −2.58279 0.182473i
\(295\) 4.97262 3.81563i 0.289517 0.222154i
\(296\) −7.44521 + 1.37667i −0.432744 + 0.0800174i
\(297\) 3.66328 + 13.7673i 0.212565 + 0.798861i
\(298\) −8.99682 + 1.74750i −0.521172 + 0.101230i
\(299\) 2.23344 2.54676i 0.129163 0.147283i
\(300\) −10.6071 + 9.12379i −0.612400 + 0.526763i
\(301\) 2.70362 41.2493i 0.155834 2.37757i
\(302\) 0.774568 2.83952i 0.0445714 0.163396i
\(303\) 6.42528 + 15.5375i 0.369122 + 0.892605i
\(304\) 7.60646 3.58226i 0.436261 0.205457i
\(305\) 10.3114 10.3114i 0.590428 0.590428i
\(306\) 25.5276 + 6.99526i 1.45931 + 0.399892i
\(307\) 6.74380 + 4.50606i 0.384889 + 0.257175i 0.732929 0.680305i \(-0.238153\pi\)
−0.348040 + 0.937480i \(0.613153\pi\)
\(308\) 9.06889 25.9461i 0.516748 1.47842i
\(309\) 0.0365692 0.0180076i 0.00208035 0.00102441i
\(310\) −0.0113486 + 0.161969i −0.000644558 + 0.00919921i
\(311\) −19.0863 14.6454i −1.08228 0.830465i −0.0959760 0.995384i \(-0.530597\pi\)
−0.986307 + 0.164919i \(0.947264\pi\)
\(312\) 4.21230 28.8490i 0.238475 1.63325i
\(313\) −23.7369 + 18.2140i −1.34169 + 1.02951i −0.345860 + 0.938286i \(0.612413\pi\)
−0.995830 + 0.0912288i \(0.970921\pi\)
\(314\) 7.51404 4.97193i 0.424042 0.280582i
\(315\) −11.0722 9.73283i −0.623849 0.548383i
\(316\) 0.122093 13.5578i 0.00686824 0.762683i
\(317\) 17.6046 + 5.97594i 0.988770 + 0.335642i 0.768537 0.639805i \(-0.220985\pi\)
0.220233 + 0.975447i \(0.429318\pi\)
\(318\) −0.0372792 + 7.33452i −0.00209052 + 0.411299i
\(319\) −8.29250 + 4.78768i −0.464291 + 0.268059i
\(320\) −2.31946 7.49197i −0.129662 0.418814i
\(321\) 2.60385 + 19.8673i 0.145333 + 1.10888i
\(322\) −3.99785 0.544651i −0.222792 0.0303522i
\(323\) 12.8615 2.55831i 0.715633 0.142348i
\(324\) 9.17597 15.4855i 0.509776 0.860307i
\(325\) 13.3539 + 19.9856i 0.740744 + 1.10860i
\(326\) −11.8150 + 0.720985i −0.654372 + 0.0399317i
\(327\) −3.47496 + 12.9387i −0.192166 + 0.715513i
\(328\) 10.0660 + 17.9918i 0.555804 + 0.993433i
\(329\) 2.20643 2.87548i 0.121644 0.158530i
\(330\) 5.49278 3.62991i 0.302367 0.199820i
\(331\) 6.02524 6.87047i 0.331177 0.377635i −0.562155 0.827032i \(-0.690028\pi\)
0.893332 + 0.449397i \(0.148361\pi\)
\(332\) −33.2310 + 6.29951i −1.82379 + 0.345731i
\(333\) −2.59021 + 7.60152i −0.141942 + 0.416561i
\(334\) −5.68254 0.0255862i −0.310935 0.00140001i
\(335\) −4.54983 + 1.21912i −0.248584 + 0.0666078i
\(336\) −31.4260 + 14.7778i −1.71443 + 0.806196i
\(337\) 27.3579 + 7.33052i 1.49028 + 0.399319i 0.909831 0.414979i \(-0.136211\pi\)
0.580447 + 0.814298i \(0.302878\pi\)
\(338\) −30.5850 8.34299i −1.66360 0.453799i
\(339\) 0.362823 + 5.58526i 0.0197059 + 0.303350i
\(340\) −0.690080 12.2128i −0.0374248 0.662331i
\(341\) −0.0626407 + 0.314916i −0.00339218 + 0.0170537i
\(342\) 0.633634 8.89527i 0.0342630 0.481001i
\(343\) 51.5168 21.3390i 2.78164 1.15220i
\(344\) −10.0334 21.0580i −0.540963 1.13537i
\(345\) −0.683015 0.683808i −0.0367723 0.0368150i
\(346\) −4.18128 12.5023i −0.224787 0.672129i
\(347\) −4.85978 2.39658i −0.260886 0.128655i 0.307142 0.951664i \(-0.400627\pi\)
−0.568029 + 0.823009i \(0.692294\pi\)
\(348\) 11.6555 + 3.24313i 0.624800 + 0.173850i
\(349\) 15.5118 + 5.26555i 0.830328 + 0.281858i 0.704062 0.710138i \(-0.251368\pi\)
0.126265 + 0.991997i \(0.459701\pi\)
\(350\) 11.0754 26.4015i 0.592005 1.41122i
\(351\) −24.5004 18.8677i −1.30774 1.00708i
\(352\) −2.68256 15.2757i −0.142981 0.814199i
\(353\) −12.2866 + 21.2809i −0.653947 + 1.13267i 0.328209 + 0.944605i \(0.393555\pi\)
−0.982157 + 0.188065i \(0.939778\pi\)
\(354\) −15.1064 4.13014i −0.802894 0.219515i
\(355\) 2.52389 + 2.87794i 0.133954 + 0.152745i
\(356\) 8.06804 + 6.30706i 0.427605 + 0.334273i
\(357\) −53.1288 + 10.5359i −2.81187 + 0.557621i
\(358\) 1.66813 1.88495i 0.0881635 0.0996228i
\(359\) 7.90113 19.0750i 0.417006 1.00674i −0.566205 0.824265i \(-0.691589\pi\)
0.983210 0.182476i \(-0.0584112\pi\)
\(360\) −8.13403 1.74236i −0.428701 0.0918304i
\(361\) 5.58022 + 13.4718i 0.293696 + 0.709044i
\(362\) 7.46896 21.6816i 0.392560 1.13956i
\(363\) −5.41215 + 2.66508i −0.284064 + 0.139880i
\(364\) 18.6677 + 56.6645i 0.978452 + 2.97003i
\(365\) 3.43080 + 0.224867i 0.179577 + 0.0117701i
\(366\) −36.0993 4.93935i −1.88694 0.258184i
\(367\) 3.17884 0.851769i 0.165934 0.0444620i −0.174895 0.984587i \(-0.555959\pi\)
0.340830 + 0.940125i \(0.389292\pi\)
\(368\) −2.11880 + 0.833253i −0.110450 + 0.0434363i
\(369\) 21.8669 + 0.0253702i 1.13834 + 0.00132072i
\(370\) 3.71128 + 0.0167104i 0.192940 + 0.000868732i
\(371\) −6.63830 13.4611i −0.344643 0.698868i
\(372\) 0.339460 0.222143i 0.0176002 0.0115176i
\(373\) −17.3981 + 5.90585i −0.900838 + 0.305793i −0.733166 0.680050i \(-0.761958\pi\)
−0.167672 + 0.985843i \(0.553625\pi\)
\(374\) 1.69076 24.1307i 0.0874269 1.24777i
\(375\) 13.2964 7.66640i 0.686623 0.395891i
\(376\) 0.294319 2.02393i 0.0151783 0.104376i
\(377\) 7.95387 19.2023i 0.409645 0.988971i
\(378\) −2.63845 + 36.7392i −0.135707 + 1.88966i
\(379\) 19.7359 13.1871i 1.01377 0.677376i 0.0664867 0.997787i \(-0.478821\pi\)
0.947279 + 0.320411i \(0.103821\pi\)
\(380\) −3.99030 + 1.03078i −0.204698 + 0.0528777i
\(381\) −24.2147 + 8.20411i −1.24056 + 0.420309i
\(382\) −11.0736 + 14.2977i −0.566577 + 0.731534i
\(383\) −4.28416 7.42039i −0.218910 0.379164i 0.735565 0.677455i \(-0.236917\pi\)
−0.954475 + 0.298290i \(0.903584\pi\)
\(384\) −11.4042 + 15.9356i −0.581968 + 0.813212i
\(385\) −6.73632 + 11.6676i −0.343315 + 0.594638i
\(386\) 13.3495 + 32.6436i 0.679473 + 1.66151i
\(387\) −24.6863 1.64679i −1.25487 0.0837110i
\(388\) −11.5331 11.7428i −0.585507 0.596148i
\(389\) 0.0182123 + 0.277866i 0.000923400 + 0.0140884i 0.998296 0.0583573i \(-0.0185863\pi\)
−0.997372 + 0.0724457i \(0.976920\pi\)
\(390\) −4.66241 + 13.5091i −0.236091 + 0.684058i
\(391\) −3.52063 + 0.463499i −0.178046 + 0.0234402i
\(392\) 31.7541 40.2453i 1.60382 2.03269i
\(393\) 12.9555 22.4096i 0.653520 1.13041i
\(394\) 23.5307 11.4727i 1.18546 0.577984i
\(395\) −1.29656 + 6.51824i −0.0652370 + 0.327968i
\(396\) −15.5227 5.44584i −0.780045 0.273664i
\(397\) 8.87150 13.2771i 0.445248 0.666361i −0.539172 0.842196i \(-0.681263\pi\)
0.984420 + 0.175835i \(0.0562626\pi\)
\(398\) −4.25550 + 7.29469i −0.213309 + 0.365650i
\(399\) 6.97369 + 16.8636i 0.349121 + 0.844238i
\(400\) −1.81993 16.0528i −0.0909966 0.802641i
\(401\) −2.28813 + 8.53941i −0.114264 + 0.426438i −0.999231 0.0392158i \(-0.987514\pi\)
0.884967 + 0.465654i \(0.154181\pi\)
\(402\) 9.30057 + 7.21198i 0.463870 + 0.359701i
\(403\) −0.308255 0.625080i −0.0153553 0.0311374i
\(404\) −19.0068 3.95893i −0.945621 0.196964i
\(405\) −5.83288 + 6.62008i −0.289838 + 0.328954i
\(406\) −24.3028 + 4.72047i −1.20613 + 0.234273i
\(407\) 7.27651 + 0.957971i 0.360683 + 0.0474848i
\(408\) −23.2604 + 19.8261i −1.15156 + 0.981539i
\(409\) 34.0611 4.48423i 1.68421 0.221731i 0.773215 0.634144i \(-0.218647\pi\)
0.910997 + 0.412413i \(0.135314\pi\)
\(410\) −3.20522 9.58382i −0.158294 0.473311i
\(411\) 4.53357 + 22.8611i 0.223625 + 1.12766i
\(412\) −0.00656364 + 0.0466086i −0.000323367 + 0.00229624i
\(413\) 31.4312 6.25206i 1.54663 0.307644i
\(414\) −0.328755 + 2.39238i −0.0161574 + 0.117579i
\(415\) 16.5791 0.813836
\(416\) 24.8047 + 22.7611i 1.21615 + 1.11596i
\(417\) −15.5033 + 11.8819i −0.759202 + 0.581857i
\(418\) −8.08501 + 1.02740i −0.395451 + 0.0502517i
\(419\) 10.7762 9.45044i 0.526450 0.461684i −0.354390 0.935098i \(-0.615312\pi\)
0.880840 + 0.473413i \(0.156978\pi\)
\(420\) 16.4839 4.24792i 0.804330 0.207277i
\(421\) 1.02985 + 15.7124i 0.0501917 + 0.765777i 0.946572 + 0.322492i \(0.104520\pi\)
−0.896381 + 0.443285i \(0.853813\pi\)
\(422\) 13.4846 + 2.74543i 0.656421 + 0.133646i
\(423\) −1.71947 1.32257i −0.0836035 0.0643055i
\(424\) −6.97775 4.79997i −0.338870 0.233107i
\(425\) 3.28895 24.9821i 0.159538 1.21181i
\(426\) 1.91355 9.37089i 0.0927118 0.454021i
\(427\) 70.6022 23.9662i 3.41668 1.15981i
\(428\) −20.6579 10.4196i −0.998536 0.503652i
\(429\) −12.5143 + 25.3393i −0.604194 + 1.22339i
\(430\) 2.90955 + 11.0575i 0.140311 + 0.533241i
\(431\) −11.5379 + 11.5379i −0.555759 + 0.555759i −0.928097 0.372338i \(-0.878556\pi\)
0.372338 + 0.928097i \(0.378556\pi\)
\(432\) 8.82286 + 18.8191i 0.424490 + 0.905433i
\(433\) −1.08368 1.08368i −0.0520783 0.0520783i 0.680588 0.732666i \(-0.261724\pi\)
−0.732666 + 0.680588i \(0.761724\pi\)
\(434\) −0.418314 + 0.717066i −0.0200797 + 0.0344202i
\(435\) −5.31718 2.62598i −0.254939 0.125906i
\(436\) −10.0948 11.7222i −0.483453 0.561391i
\(437\) 0.384571 + 1.13291i 0.0183965 + 0.0541945i
\(438\) −4.73629 7.16695i −0.226309 0.342450i
\(439\) −12.1739 1.60272i −0.581028 0.0764938i −0.165717 0.986173i \(-0.552994\pi\)
−0.415311 + 0.909680i \(0.636327\pi\)
\(440\) −0.102687 + 7.60166i −0.00489541 + 0.362395i
\(441\) −20.7496 50.2589i −0.988078 2.39328i
\(442\) 28.9744 + 43.7888i 1.37817 + 2.08282i
\(443\) −21.8286 + 1.43072i −1.03711 + 0.0679758i −0.574433 0.818551i \(-0.694778\pi\)
−0.462677 + 0.886527i \(0.653111\pi\)
\(444\) −5.57431 7.41058i −0.264545 0.351691i
\(445\) −3.30974 3.77404i −0.156897 0.178907i
\(446\) −3.22428 + 4.16302i −0.152674 + 0.197125i
\(447\) −6.82802 8.90915i −0.322954 0.421388i
\(448\) 6.30604 39.6006i 0.297932 1.87095i
\(449\) 2.80452i 0.132353i −0.997808 0.0661767i \(-0.978920\pi\)
0.997808 0.0661767i \(-0.0210801\pi\)
\(450\) −15.7939 6.64708i −0.744532 0.313346i
\(451\) −3.89873 19.6002i −0.183584 0.922940i
\(452\) −5.56770 3.28172i −0.261883 0.154359i
\(453\) 3.53590 0.701202i 0.166131 0.0329454i
\(454\) 13.6972 + 6.83156i 0.642842 + 0.320621i
\(455\) −3.81711 28.9938i −0.178949 1.35925i
\(456\) 8.08035 + 6.38312i 0.378397 + 0.298917i
\(457\) −4.00723 + 30.4380i −0.187451 + 1.42383i 0.596305 + 0.802758i \(0.296635\pi\)
−0.783755 + 0.621070i \(0.786698\pi\)
\(458\) 21.9432 + 14.8053i 1.02534 + 0.691806i
\(459\) 6.26897 + 31.8054i 0.292610 + 1.48455i
\(460\) 1.09648 0.207857i 0.0511236 0.00969137i
\(461\) 10.2876 5.07328i 0.479141 0.236286i −0.186647 0.982427i \(-0.559762\pi\)
0.665788 + 0.746141i \(0.268095\pi\)
\(462\) 33.3965 4.22416i 1.55374 0.196526i
\(463\) −28.9496 7.75702i −1.34540 0.360499i −0.486966 0.873421i \(-0.661897\pi\)
−0.858436 + 0.512921i \(0.828563\pi\)
\(464\) −10.6673 + 9.02034i −0.495217 + 0.418759i
\(465\) −0.183764 + 0.0759926i −0.00852184 + 0.00352407i
\(466\) 37.0115 9.73880i 1.71452 0.451141i
\(467\) 15.7795 + 10.5435i 0.730186 + 0.487895i 0.864240 0.503079i \(-0.167800\pi\)
−0.134054 + 0.990974i \(0.542800\pi\)
\(468\) 33.9273 11.1334i 1.56829 0.514643i
\(469\) −23.6207 4.69846i −1.09070 0.216955i
\(470\) −0.326518 + 0.947849i −0.0150612 + 0.0437210i
\(471\) 9.55340 + 5.52305i 0.440197 + 0.254489i
\(472\) 13.7557 11.7386i 0.633158 0.540311i
\(473\) 2.95133 + 22.4176i 0.135702 + 1.03076i
\(474\) 14.9301 7.26862i 0.685763 0.333859i
\(475\) −8.47141 + 0.555245i −0.388695 + 0.0254764i
\(476\) 24.4533 57.5638i 1.12082 2.63843i
\(477\) −8.06124 + 3.96374i −0.369099 + 0.181487i
\(478\) −21.0059 8.81193i −0.960786 0.403048i
\(479\) −35.3259 20.3954i −1.61408 0.931890i −0.988411 0.151803i \(-0.951492\pi\)
−0.625670 0.780087i \(-0.715175\pi\)
\(480\) 6.94709 6.63342i 0.317090 0.302773i
\(481\) −13.7965 + 7.96542i −0.629067 + 0.363192i
\(482\) 3.64483 0.463166i 0.166018 0.0210966i
\(483\) −1.58570 4.68025i −0.0721521 0.212959i
\(484\) 0.971403 6.89795i 0.0441547 0.313543i
\(485\) 4.48228 + 6.70821i 0.203530 + 0.304604i
\(486\) 21.9869 + 1.60465i 0.997347 + 0.0727885i
\(487\) −4.56554 1.89111i −0.206885 0.0856944i 0.276835 0.960917i \(-0.410714\pi\)
−0.483719 + 0.875223i \(0.660714\pi\)
\(488\) 28.1649 31.2540i 1.27496 1.41480i
\(489\) −7.24135 12.5592i −0.327465 0.567947i
\(490\) −18.9669 + 16.4831i −0.856838 + 0.744628i
\(491\) 9.44235 + 27.8163i 0.426127 + 1.25533i 0.922086 + 0.386985i \(0.126483\pi\)
−0.495959 + 0.868346i \(0.665183\pi\)
\(492\) −14.2286 + 20.8589i −0.641473 + 0.940393i
\(493\) −19.5416 + 9.63683i −0.880108 + 0.434021i
\(494\) 12.5653 12.4527i 0.565342 0.560273i
\(495\) 6.97853 + 4.03986i 0.313661 + 0.181578i
\(496\) −0.00843635 + 0.468369i −0.000378803 + 0.0210304i
\(497\) 5.06549 + 18.9047i 0.227218 + 0.847991i
\(498\) −25.0502 32.9919i −1.12252 1.47840i
\(499\) 0.529169 8.07356i 0.0236889 0.361422i −0.969515 0.245033i \(-0.921201\pi\)
0.993204 0.116389i \(-0.0371320\pi\)
\(500\) −1.31832 + 17.6735i −0.0589569 + 0.790383i
\(501\) −3.07459 6.24378i −0.137363 0.278952i
\(502\) 15.3470 + 31.4772i 0.684972 + 1.40490i
\(503\) −10.1887 + 4.22028i −0.454290 + 0.188173i −0.598082 0.801435i \(-0.704070\pi\)
0.143792 + 0.989608i \(0.454070\pi\)
\(504\) −33.3595 26.3840i −1.48595 1.17524i
\(505\) 8.79218 + 3.64184i 0.391247 + 0.162060i
\(506\) 2.20285 0.134424i 0.0979288 0.00597590i
\(507\) −7.55276 38.0857i −0.335430 1.69145i
\(508\) 7.89731 28.4460i 0.350386 1.26209i
\(509\) −23.7782 + 20.8529i −1.05395 + 0.924289i −0.997251 0.0741018i \(-0.976391\pi\)
−0.0566995 + 0.998391i \(0.518058\pi\)
\(510\) 13.0122 7.42466i 0.576189 0.328769i
\(511\) 15.2239 + 8.78952i 0.673466 + 0.388825i
\(512\) −7.80513 21.2386i −0.344941 0.938624i
\(513\) 10.0979 4.16212i 0.445833 0.183762i
\(514\) −30.8856 + 12.6306i −1.36230 + 0.557112i
\(515\) 0.00741618 0.0218474i 0.000326796 0.000962710i
\(516\) 17.6079 22.4973i 0.775145 0.990386i
\(517\) −0.876843 + 1.77806i −0.0385635 + 0.0781990i
\(518\) 16.9808 + 8.46926i 0.746093 + 0.372118i
\(519\) 11.4234 11.4102i 0.501432 0.500851i
\(520\) −9.86793 13.2263i −0.432737 0.580011i
\(521\) −8.56604 20.6802i −0.375285 0.906018i −0.992836 0.119487i \(-0.961875\pi\)
0.617551 0.786531i \(-0.288125\pi\)
\(522\) 2.80837 + 14.5487i 0.122919 + 0.636781i
\(523\) −10.2043 2.02976i −0.446203 0.0887553i −0.0331256 0.999451i \(-0.510546\pi\)
−0.413077 + 0.910696i \(0.635546\pi\)
\(524\) 12.9778 + 26.9250i 0.566940 + 1.17622i
\(525\) 34.9913 2.27307i 1.52715 0.0992048i
\(526\) 16.1827 9.24621i 0.705601 0.403154i
\(527\) −0.189100 + 0.705729i −0.00823730 + 0.0307420i
\(528\) 15.2822 11.2814i 0.665073 0.490959i
\(529\) 5.86899 + 21.9034i 0.255173 + 0.952320i
\(530\) 2.92226 + 2.94869i 0.126935 + 0.128083i
\(531\) −3.72009 18.8162i −0.161438 0.816555i
\(532\) −20.6290 4.29684i −0.894382 0.186292i
\(533\) 32.6135 + 28.6012i 1.41265 + 1.23886i
\(534\) −2.50936 + 12.2887i −0.108591 + 0.531783i
\(535\) 8.99753 + 6.90405i 0.388997 + 0.298488i
\(536\) −12.9265 + 4.19410i −0.558339 + 0.181157i
\(537\) 2.97728 + 0.799611i 0.128479 + 0.0345057i
\(538\) −26.1529 23.1446i −1.12753 0.997834i
\(539\) −41.3177 + 27.6076i −1.77968 + 1.18914i
\(540\) −2.53098 9.86871i −0.108916 0.424682i
\(541\) −7.30961 36.7479i −0.314265 1.57992i −0.738430 0.674330i \(-0.764432\pi\)
0.424165 0.905585i \(-0.360568\pi\)
\(542\) 34.1800 25.9836i 1.46816 1.11609i
\(543\) 27.8477 3.64979i 1.19506 0.156627i
\(544\) −3.81765 35.0844i −0.163681 1.50423i
\(545\) 3.79145 + 6.56699i 0.162408 + 0.281299i
\(546\) −51.9293 + 51.4041i −2.22237 + 2.19989i
\(547\) −0.694261 + 2.04523i −0.0296844 + 0.0874476i −0.960762 0.277373i \(-0.910536\pi\)
0.931078 + 0.364820i \(0.118870\pi\)
\(548\) −24.7695 10.5222i −1.05810 0.449485i
\(549\) −14.2950 42.2728i −0.610095 1.80416i
\(550\) −3.12431 + 15.3455i −0.133221 + 0.654336i
\(551\) 4.46891 + 5.82400i 0.190382 + 0.248111i
\(552\) −2.07035 1.86790i −0.0881201 0.0795030i
\(553\) −20.6858 + 26.9582i −0.879649 + 1.14638i
\(554\) −12.2647 + 10.6586i −0.521078 + 0.452838i
\(555\) 2.00802 + 4.07783i 0.0852359 + 0.173094i
\(556\) −1.27241 22.5187i −0.0539623 0.955004i
\(557\) −4.58203 + 6.85749i −0.194147 + 0.290561i −0.915752 0.401743i \(-0.868404\pi\)
0.721606 + 0.692304i \(0.243404\pi\)
\(558\) 0.428881 + 0.250863i 0.0181560 + 0.0106199i
\(559\) −34.7048 34.7048i −1.46786 1.46786i
\(560\) −6.65232 + 18.4959i −0.281112 + 0.781593i
\(561\) 27.3778 11.3216i 1.15589 0.478000i
\(562\) −24.5943 + 14.0523i −1.03745 + 0.592759i
\(563\) −25.9754 1.70252i −1.09473 0.0717527i −0.492682 0.870209i \(-0.663983\pi\)
−0.602052 + 0.798457i \(0.705650\pi\)
\(564\) 2.37954 0.782390i 0.100197 0.0329446i
\(565\) 2.38179 + 2.08877i 0.100203 + 0.0878754i
\(566\) −2.69328 + 3.99175i −0.113207 + 0.167786i
\(567\) −41.7180 + 17.1669i −1.75199 + 0.720940i
\(568\) 7.70300 + 7.91396i 0.323211 + 0.332062i
\(569\) −11.8642 15.4617i −0.497373 0.648189i 0.475449 0.879743i \(-0.342286\pi\)
−0.972822 + 0.231554i \(0.925619\pi\)
\(570\) −3.30873 3.81180i −0.138588 0.159659i
\(571\) −17.5264 8.64308i −0.733459 0.361702i 0.0368946 0.999319i \(-0.488253\pi\)
−0.770353 + 0.637617i \(0.779920\pi\)
\(572\) −16.0614 28.4069i −0.671560 1.18775i
\(573\) −21.7208 4.33364i −0.907400 0.181040i
\(574\) 6.97474 51.1961i 0.291120 2.13688i
\(575\) 2.29890 0.0958708
\(576\) −23.6970 3.80173i −0.987374 0.158405i
\(577\) 2.40590 0.100159 0.0500795 0.998745i \(-0.484053\pi\)
0.0500795 + 0.998745i \(0.484053\pi\)
\(578\) 4.18491 30.7181i 0.174069 1.27771i
\(579\) −28.4986 + 32.4584i −1.18436 + 1.34893i
\(580\) 5.96086 3.37030i 0.247511 0.139944i
\(581\) 76.0256 + 37.4917i 3.15407 + 1.55542i
\(582\) 6.57662 19.0554i 0.272610 0.789870i
\(583\) 4.99771 + 6.51314i 0.206984 + 0.269747i
\(584\) 9.91862 + 0.133986i 0.410435 + 0.00554437i
\(585\) −17.3557 + 2.26444i −0.717571 + 0.0936232i
\(586\) 17.0347 25.2474i 0.703697 1.04296i
\(587\) 18.3745 + 16.1140i 0.758398 + 0.665097i 0.948539 0.316659i \(-0.102561\pi\)
−0.190141 + 0.981757i \(0.560895\pi\)
\(588\) 61.4588 + 12.8385i 2.53452 + 0.529451i
\(589\) 0.245635 + 0.0160997i 0.0101212 + 0.000663378i
\(590\) −7.69640 + 4.39743i −0.316856 + 0.181039i
\(591\) 25.4252 + 19.5329i 1.04585 + 0.803476i
\(592\) 10.6956 0.507774i 0.439585 0.0208694i
\(593\) 6.06305 + 6.06305i 0.248980 + 0.248980i 0.820552 0.571572i \(-0.193666\pi\)
−0.571572 + 0.820552i \(0.693666\pi\)
\(594\) −2.50501 19.9911i −0.102782 0.820243i
\(595\) −17.0320 + 25.4902i −0.698243 + 1.04499i
\(596\) 12.9406 0.731204i 0.530066 0.0299513i
\(597\) −10.3207 0.682468i −0.422398 0.0279316i
\(598\) −3.61584 + 3.14232i −0.147863 + 0.128499i
\(599\) 18.6099 24.2529i 0.760379 0.990945i −0.239420 0.970916i \(-0.576957\pi\)
0.999799 0.0200292i \(-0.00637593\pi\)
\(600\) 16.6051 10.7600i 0.677902 0.439274i
\(601\) 9.15406 + 11.9298i 0.373402 + 0.486627i 0.941822 0.336111i \(-0.109112\pi\)
−0.568420 + 0.822738i \(0.692445\pi\)
\(602\) −11.6631 + 57.2853i −0.475354 + 2.33477i
\(603\) −2.82848 + 14.1340i −0.115184 + 0.575580i
\(604\) −1.62745 + 3.83107i −0.0662201 + 0.155884i
\(605\) −1.09758 + 3.23336i −0.0446228 + 0.131455i
\(606\) −6.03739 22.9988i −0.245252 0.934262i
\(607\) −15.8299 27.4181i −0.642514 1.11287i −0.984870 0.173297i \(-0.944558\pi\)
0.342355 0.939571i \(-0.388775\pi\)
\(608\) −11.3426 + 3.56762i −0.460002 + 0.144686i
\(609\) −18.4443 24.0659i −0.747400 0.975201i
\(610\) −16.4175 + 12.4805i −0.664725 + 0.505323i
\(611\) −0.839529 4.22060i −0.0339637 0.170747i
\(612\) −34.4356 14.6755i −1.39198 0.593223i
\(613\) −5.40029 + 3.60836i −0.218116 + 0.145740i −0.659828 0.751416i \(-0.729371\pi\)
0.441713 + 0.897157i \(0.354371\pi\)
\(614\) −8.58966 7.60162i −0.346650 0.306776i
\(615\) 8.75677 8.74662i 0.353107 0.352698i
\(616\) −17.6612 + 34.6262i −0.711588 + 1.39513i
\(617\) −13.0970 10.0497i −0.527266 0.404585i 0.310535 0.950562i \(-0.399492\pi\)
−0.837800 + 0.545977i \(0.816159\pi\)
\(618\) −0.0546810 + 0.0182523i −0.00219959 + 0.000734214i
\(619\) −21.2482 18.6342i −0.854038 0.748971i 0.115657 0.993289i \(-0.463103\pi\)
−0.969695 + 0.244318i \(0.921436\pi\)
\(620\) 0.0468228 0.224795i 0.00188045 0.00902800i
\(621\) −2.80228 + 0.945810i −0.112452 + 0.0379541i
\(622\) 23.9492 + 24.1658i 0.960274 + 0.968960i
\(623\) −6.64272 24.7910i −0.266135 0.993229i
\(624\) −11.4099 + 39.6211i −0.456763 + 1.58611i
\(625\) −2.97833 + 11.1153i −0.119133 + 0.444612i
\(626\) 36.7389 20.9912i 1.46838 0.838979i
\(627\) −5.54072 8.30269i −0.221275 0.331578i
\(628\) −11.4784 + 5.53256i −0.458036 + 0.220773i
\(629\) 16.3796 + 3.25810i 0.653095 + 0.129909i
\(630\) 13.6571 + 15.7520i 0.544113 + 0.627576i
\(631\) −3.85790 9.31380i −0.153581 0.370776i 0.828298 0.560288i \(-0.189310\pi\)
−0.981878 + 0.189512i \(0.939310\pi\)
\(632\) −2.75930 + 18.9748i −0.109759 + 0.754776i
\(633\) 4.35270 + 16.2823i 0.173004 + 0.647162i
\(634\) −23.5279 11.7347i −0.934412 0.466043i
\(635\) −6.40032 + 12.9786i −0.253989 + 0.515038i
\(636\) 1.45242 10.2705i 0.0575922 0.407253i
\(637\) 34.6716 102.139i 1.37374 4.04690i
\(638\) 12.5340 5.12576i 0.496226 0.202931i
\(639\) 11.3182 3.01862i 0.447739 0.119415i
\(640\) 1.81994 + 10.9411i 0.0719396 + 0.432483i
\(641\) −19.0609 11.0048i −0.752862 0.434665i 0.0738650 0.997268i \(-0.476467\pi\)
−0.826727 + 0.562603i \(0.809800\pi\)
\(642\) 0.144026 28.3365i 0.00568425 1.11835i
\(643\) 16.4232 14.4027i 0.647666 0.567988i −0.271217 0.962518i \(-0.587426\pi\)
0.918883 + 0.394530i \(0.129093\pi\)
\(644\) 5.49810 + 1.52641i 0.216655 + 0.0601488i
\(645\) −10.5338 + 9.22711i −0.414769 + 0.363317i
\(646\) −18.5108 + 1.12958i −0.728298 + 0.0444428i
\(647\) 11.4696 + 4.75086i 0.450916 + 0.186776i 0.596572 0.802560i \(-0.296529\pi\)
−0.145655 + 0.989335i \(0.546529\pi\)
\(648\) −15.8142 + 19.9477i −0.621242 + 0.783619i
\(649\) −16.1948 + 6.70810i −0.635701 + 0.263316i
\(650\) −14.8972 30.5545i −0.584315 1.19845i
\(651\) −1.01452 0.0670863i −0.0397622 0.00262932i
\(652\) 16.6936 + 1.24523i 0.653773 + 0.0487668i
\(653\) 0.858260 13.0945i 0.0335863 0.512428i −0.947612 0.319425i \(-0.896510\pi\)
0.981198 0.193004i \(-0.0618229\pi\)
\(654\) 7.33940 17.4672i 0.286993 0.683023i
\(655\) −3.79198 14.1519i −0.148165 0.552959i
\(656\) −10.6705 27.1331i −0.416615 1.05937i
\(657\) 5.27119 9.10555i 0.205649 0.355241i
\(658\) −3.64074 + 3.60810i −0.141931 + 0.140659i
\(659\) −14.6824 + 7.24055i −0.571944 + 0.282052i −0.705175 0.709033i \(-0.749132\pi\)
0.133231 + 0.991085i \(0.457465\pi\)
\(660\) −8.38982 + 4.03789i −0.326573 + 0.157175i
\(661\) 15.0872 + 44.4453i 0.586822 + 1.72872i 0.680136 + 0.733086i \(0.261921\pi\)
−0.0933139 + 0.995637i \(0.529746\pi\)
\(662\) −9.75458 + 8.47714i −0.379122 + 0.329473i
\(663\) −32.1861 + 55.6733i −1.25000 + 2.16217i
\(664\) 47.7682 2.48342i 1.85376 0.0963752i
\(665\) 9.54262 + 3.95268i 0.370047 + 0.153278i
\(666\) 5.08073 10.1573i 0.196874 0.393587i
\(667\) −1.10440 1.65286i −0.0427627 0.0639989i
\(668\) 7.95789 + 1.12067i 0.307900 + 0.0433599i
\(669\) −6.32439 1.26181i −0.244515 0.0487846i
\(670\) 6.60827 0.839743i 0.255300 0.0324421i
\(671\) −35.3186 + 20.3912i −1.36346 + 0.787193i
\(672\) 46.8575 14.7084i 1.80757 0.567388i
\(673\) 4.08707 + 2.35967i 0.157545 + 0.0909585i 0.576700 0.816956i \(-0.304340\pi\)
−0.419155 + 0.907915i \(0.637674\pi\)
\(674\) −36.9363 15.4947i −1.42273 0.596835i
\(675\) −1.33616 20.9442i −0.0514287 0.806144i
\(676\) 41.2651 + 17.5295i 1.58712 + 0.674213i
\(677\) 22.2905 1.46100i 0.856694 0.0561507i 0.369276 0.929320i \(-0.379606\pi\)
0.487418 + 0.873169i \(0.337939\pi\)
\(678\) 0.557830 7.89572i 0.0214233 0.303233i
\(679\) 5.38426 + 40.8975i 0.206629 + 1.56950i
\(680\) −1.36447 + 17.2451i −0.0523250 + 0.661321i
\(681\) −0.0108749 + 18.7464i −0.000416726 + 0.718362i
\(682\) 0.147895 0.429324i 0.00566319 0.0164397i
\(683\) −9.76370 1.94212i −0.373598 0.0743132i 0.00472035 0.999989i \(-0.498497\pi\)
−0.378318 + 0.925676i \(0.623497\pi\)
\(684\) −2.58603 + 12.3437i −0.0988792 + 0.471973i
\(685\) 10.9683 + 7.32880i 0.419078 + 0.280019i
\(686\) −76.2626 + 20.0669i −2.91172 + 0.766158i
\(687\) −4.25029 + 32.1401i −0.162159 + 1.22622i
\(688\) 10.0394 + 31.4234i 0.382749 + 1.19801i
\(689\) −17.2128 4.61215i −0.655755 0.175709i
\(690\) 0.826547 + 1.08859i 0.0314661 + 0.0414419i
\(691\) 3.34491 1.64953i 0.127246 0.0627509i −0.377551 0.925989i \(-0.623234\pi\)
0.504798 + 0.863238i \(0.331567\pi\)
\(692\) 3.47237 + 18.3173i 0.132000 + 0.696321i
\(693\) 22.8653 + 34.3064i 0.868580 + 1.30319i
\(694\) 6.35234 + 4.28600i 0.241132 + 0.162694i
\(695\) −1.44306 + 10.9611i −0.0547383 + 0.415779i
\(696\) −15.7134 6.76957i −0.595613 0.256600i
\(697\) −5.93552 45.0848i −0.224824 1.70771i
\(698\) −20.7310 10.3397i −0.784680 0.391363i
\(699\) 30.8848 + 35.2586i 1.16817 + 1.33360i
\(700\) −20.5598 + 34.8813i −0.777086 + 1.31839i
\(701\) −1.38367 6.95619i −0.0522606 0.262732i 0.945818 0.324698i \(-0.105263\pi\)
−0.998078 + 0.0619667i \(0.980263\pi\)
\(702\) 30.7298 + 31.1159i 1.15982 + 1.17439i
\(703\) 5.62671i 0.212215i
\(704\) 0.842803 + 21.9175i 0.0317643 + 0.826047i
\(705\) −1.21741 + 0.159557i −0.0458503 + 0.00600926i
\(706\) 21.2794 27.4748i 0.800860 1.03403i
\(707\) 32.0821 + 36.5826i 1.20657 + 1.37583i
\(708\) 20.3796 + 8.67129i 0.765913 + 0.325887i
\(709\) 40.6290 2.66297i 1.52585 0.100010i 0.720772 0.693172i \(-0.243788\pi\)
0.805083 + 0.593163i \(0.202121\pi\)
\(710\) −2.98724 4.51459i −0.112109 0.169430i
\(711\) 16.1204 + 12.3994i 0.604563 + 0.465013i
\(712\) −10.1015 10.3781i −0.378568 0.388936i
\(713\) −0.0660881 0.00870066i −0.00247502 0.000325842i
\(714\) 76.4590 4.62123i 2.86141 0.172945i
\(715\) 5.14172 + 15.1470i 0.192289 + 0.566466i
\(716\) −2.69735 + 2.32287i −0.100805 + 0.0868099i
\(717\) −1.80852 27.8402i −0.0675405 1.03971i
\(718\) −14.7131 + 25.2209i −0.549088 + 0.941235i
\(719\) 19.5575 + 19.5575i 0.729371 + 0.729371i 0.970495 0.241123i \(-0.0775158\pi\)
−0.241123 + 0.970495i \(0.577516\pi\)
\(720\) 11.0653 + 3.99433i 0.412381 + 0.148860i
\(721\) 0.0834131 0.0834131i 0.00310647 0.00310647i
\(722\) −5.24757 19.9430i −0.195295 0.742200i
\(723\) 2.49783 + 3.74297i 0.0928954 + 0.139203i
\(724\) −14.6051 + 28.9559i −0.542795 + 1.07614i
\(725\) 13.3572 4.53416i 0.496074 0.168394i
\(726\) 8.09266 2.70129i 0.300347 0.100254i
\(727\) −2.25127 + 17.1001i −0.0834948 + 0.634206i 0.897619 + 0.440773i \(0.145296\pi\)
−0.981113 + 0.193433i \(0.938038\pi\)
\(728\) −15.3410 82.9660i −0.568575 3.07492i
\(729\) 10.2456 + 24.9806i 0.379465 + 0.925206i
\(730\) −4.76455 0.970050i −0.176344 0.0359032i
\(731\) 3.36506 + 51.3408i 0.124461 + 1.89891i
\(732\) 49.6419 + 13.8128i 1.83482 + 0.510537i
\(733\) 4.44213 3.89564i 0.164074 0.143889i −0.573372 0.819295i \(-0.694365\pi\)
0.737446 + 0.675406i \(0.236032\pi\)
\(734\) −4.61702 + 0.586706i −0.170417 + 0.0216557i
\(735\) −28.4263 11.7939i −1.04852 0.435024i
\(736\) 3.12807 0.763127i 0.115302 0.0281292i
\(737\) 13.1732 0.485242
\(738\) −30.6365 4.21000i −1.12775 0.154972i
\(739\) −1.54877 + 0.308070i −0.0569725 + 0.0113325i −0.223494 0.974705i \(-0.571746\pi\)
0.166522 + 0.986038i \(0.446746\pi\)
\(740\) −5.19732 0.731911i −0.191057 0.0269056i
\(741\) 20.5126 + 6.97636i 0.753549 + 0.256283i
\(742\) 6.73227 + 20.1300i 0.247150 + 0.738994i
\(743\) 49.9848 6.58062i 1.83376 0.241419i 0.867220 0.497925i \(-0.165905\pi\)
0.966543 + 0.256506i \(0.0825712\pi\)
\(744\) −0.518083 + 0.246478i −0.0189938 + 0.00903634i
\(745\) −6.29891 0.829267i −0.230774 0.0303820i
\(746\) 25.5068 4.95434i 0.933871 0.181391i
\(747\) 22.4919 45.4761i 0.822937 1.66388i
\(748\) −6.97582 + 33.4908i −0.255061 + 1.22454i
\(749\) 25.6467 + 52.0063i 0.937109 + 1.90027i
\(750\) −20.0954 + 8.20436i −0.733779 + 0.299581i
\(751\) −5.43372 + 20.2789i −0.198279 + 0.739988i 0.793114 + 0.609073i \(0.208458\pi\)
−0.991394 + 0.130915i \(0.958208\pi\)
\(752\) −0.798793 + 2.77988i −0.0291290 + 0.101372i
\(753\) −26.1293 + 34.0115i −0.952204 + 1.23945i
\(754\) −14.8113 + 25.3892i −0.539396 + 0.924622i
\(755\) 1.13354 1.69646i 0.0412536 0.0617404i
\(756\) 10.7108 50.9778i 0.389548 1.85404i
\(757\) 5.75236 28.9191i 0.209073 1.05108i −0.723562 0.690259i \(-0.757496\pi\)
0.932635 0.360821i \(-0.117504\pi\)
\(758\) −30.1728 + 14.7110i −1.09592 + 0.534329i
\(759\) 1.35012 + 2.34161i 0.0490062 + 0.0849950i
\(760\) 5.78827 0.682635i 0.209963 0.0247618i
\(761\) 3.69162 0.486011i 0.133821 0.0176179i −0.0633180 0.997993i \(-0.520168\pi\)
0.197139 + 0.980376i \(0.436835\pi\)
\(762\) 35.4975 6.87351i 1.28594 0.249001i
\(763\) 2.53573 + 38.6877i 0.0917994 + 1.40059i
\(764\) 18.2466 17.9209i 0.660140 0.648356i
\(765\) 15.2443 + 10.2115i 0.551158 + 0.369198i
\(766\) 4.58669 + 11.2158i 0.165724 + 0.405244i
\(767\) 19.0245 32.9514i 0.686936 1.18981i
\(768\) 19.0225 20.1530i 0.686416 0.727209i
\(769\) −4.58327 7.93845i −0.165277 0.286268i 0.771477 0.636258i \(-0.219518\pi\)
−0.936754 + 0.349990i \(0.886185\pi\)
\(770\) 11.6668 15.0635i 0.420442 0.542852i