Properties

Label 576.2.bm.a.205.52
Level $576$
Weight $2$
Character 576.205
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.bm (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 205.52
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.52

$q$-expansion

\(f(q)\) \(=\) \(q+(0.210640 + 1.39844i) q^{2} +(1.12489 - 1.31705i) q^{3} +(-1.91126 + 0.589135i) q^{4} +(-0.614322 - 0.700500i) q^{5} +(2.07876 + 1.29567i) q^{6} +(-2.61489 - 0.344257i) q^{7} +(-1.22646 - 2.54869i) q^{8} +(-0.469232 - 2.96308i) q^{9} +O(q^{10})\) \(q+(0.210640 + 1.39844i) q^{2} +(1.12489 - 1.31705i) q^{3} +(-1.91126 + 0.589135i) q^{4} +(-0.614322 - 0.700500i) q^{5} +(2.07876 + 1.29567i) q^{6} +(-2.61489 - 0.344257i) q^{7} +(-1.22646 - 2.54869i) q^{8} +(-0.469232 - 2.96308i) q^{9} +(0.850205 - 1.00664i) q^{10} +(-0.249773 - 0.506490i) q^{11} +(-1.37405 + 3.17994i) q^{12} +(-0.126180 - 0.371714i) q^{13} +(-0.0693789 - 3.72928i) q^{14} +(-1.61364 + 0.0211041i) q^{15} +(3.30584 - 2.25198i) q^{16} +(-2.14512 - 2.14512i) q^{17} +(4.04484 - 1.28033i) q^{18} +(1.03056 - 5.18096i) q^{19} +(1.58682 + 0.976919i) q^{20} +(-3.39488 + 3.05669i) q^{21} +(0.655683 - 0.455980i) q^{22} +(0.0230979 + 0.175446i) q^{23} +(-4.73638 - 1.25170i) q^{24} +(0.539322 - 4.09656i) q^{25} +(0.493241 - 0.254753i) q^{26} +(-4.43035 - 2.71514i) q^{27} +(5.20055 - 0.882558i) q^{28} +(3.44929 - 0.226078i) q^{29} +(-0.369410 - 2.25213i) q^{30} +(-6.55413 + 3.78403i) q^{31} +(3.84560 + 4.14866i) q^{32} +(-0.948040 - 0.240784i) q^{33} +(2.54797 - 3.45166i) q^{34} +(1.36523 + 2.04321i) q^{35} +(2.64248 + 5.38677i) q^{36} +(-0.453900 - 2.28191i) q^{37} +(7.46233 + 0.349852i) q^{38} +(-0.631505 - 0.251954i) q^{39} +(-1.03191 + 2.42485i) q^{40} +(-0.149016 - 1.13189i) q^{41} +(-4.98968 - 4.10366i) q^{42} +(-4.73832 + 2.33668i) q^{43} +(0.775773 + 0.820884i) q^{44} +(-1.78737 + 2.14898i) q^{45} +(-0.240485 + 0.0692570i) q^{46} +(5.24019 - 1.40411i) q^{47} +(0.752749 - 6.88719i) q^{48} +(-0.0423382 - 0.0113445i) q^{49} +(5.84239 - 0.108691i) q^{50} +(-5.23825 + 0.412195i) q^{51} +(0.460153 + 0.636106i) q^{52} +(1.39598 - 2.08923i) q^{53} +(2.86375 - 6.76749i) q^{54} +(-0.201355 + 0.486114i) q^{55} +(2.32965 + 7.08675i) q^{56} +(-5.66430 - 7.18531i) q^{57} +(1.04271 + 4.77599i) q^{58} +(5.10334 + 5.81925i) q^{59} +(3.07165 - 0.990986i) q^{60} +(0.478912 + 7.30678i) q^{61} +(-6.67229 - 8.36848i) q^{62} +(0.206930 + 7.90966i) q^{63} +(-4.99160 + 6.25171i) q^{64} +(-0.182871 + 0.316741i) q^{65} +(0.137026 - 1.37649i) q^{66} +(-5.64192 - 2.78229i) q^{67} +(5.36364 + 2.83612i) q^{68} +(0.257053 + 0.166937i) q^{69} +(-2.56974 + 2.33958i) q^{70} +(2.68474 + 6.48154i) q^{71} +(-6.97646 + 4.83001i) q^{72} +(3.49286 - 8.43250i) q^{73} +(3.09550 - 1.11541i) q^{74} +(-4.78869 - 5.31851i) q^{75} +(1.08262 + 10.5093i) q^{76} +(0.478767 + 1.41040i) q^{77} +(0.219322 - 0.936192i) q^{78} +(0.114207 + 0.426226i) q^{79} +(-3.60836 - 0.932299i) q^{80} +(-8.55964 + 2.78074i) q^{81} +(1.55148 - 0.446810i) q^{82} +(8.40550 + 7.37142i) q^{83} +(4.68770 - 7.84216i) q^{84} +(-0.184862 + 2.82044i) q^{85} +(-4.26578 - 6.13405i) q^{86} +(3.58232 - 4.79719i) q^{87} +(-0.984548 + 1.25778i) q^{88} +(13.4897 - 5.58763i) q^{89} +(-3.38171 - 2.04687i) q^{90} +(0.201982 + 1.01543i) q^{91} +(-0.147507 - 0.321715i) q^{92} +(-2.38895 + 12.8887i) q^{93} +(3.06735 + 7.03233i) q^{94} +(-4.26235 + 2.46087i) q^{95} +(9.78987 - 0.398045i) q^{96} +(10.4183 + 6.01499i) q^{97} +(0.00694643 - 0.0615969i) q^{98} +(-1.38357 + 0.977758i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.210640 + 1.39844i 0.148945 + 0.988845i
\(3\) 1.12489 1.31705i 0.649457 0.760398i
\(4\) −1.91126 + 0.589135i −0.955631 + 0.294567i
\(5\) −0.614322 0.700500i −0.274733 0.313273i 0.597976 0.801514i \(-0.295972\pi\)
−0.872709 + 0.488241i \(0.837639\pi\)
\(6\) 2.07876 + 1.29567i 0.848650 + 0.528955i
\(7\) −2.61489 0.344257i −0.988336 0.130117i −0.381011 0.924570i \(-0.624424\pi\)
−0.607325 + 0.794454i \(0.707757\pi\)
\(8\) −1.22646 2.54869i −0.433618 0.901097i
\(9\) −0.469232 2.96308i −0.156411 0.987692i
\(10\) 0.850205 1.00664i 0.268858 0.318329i
\(11\) −0.249773 0.506490i −0.0753094 0.152712i 0.855962 0.517039i \(-0.172966\pi\)
−0.931271 + 0.364327i \(0.881299\pi\)
\(12\) −1.37405 + 3.17994i −0.396653 + 0.917969i
\(13\) −0.126180 0.371714i −0.0349960 0.103095i 0.928028 0.372510i \(-0.121503\pi\)
−0.963024 + 0.269415i \(0.913170\pi\)
\(14\) −0.0693789 3.72928i −0.0185423 0.996692i
\(15\) −1.61364 + 0.0211041i −0.416639 + 0.00544906i
\(16\) 3.30584 2.25198i 0.826460 0.562995i
\(17\) −2.14512 2.14512i −0.520267 0.520267i 0.397385 0.917652i \(-0.369918\pi\)
−0.917652 + 0.397385i \(0.869918\pi\)
\(18\) 4.04484 1.28033i 0.953378 0.301778i
\(19\) 1.03056 5.18096i 0.236426 1.18859i −0.662012 0.749493i \(-0.730297\pi\)
0.898438 0.439100i \(-0.144703\pi\)
\(20\) 1.58682 + 0.976919i 0.354823 + 0.218446i
\(21\) −3.39488 + 3.05669i −0.740823 + 0.667023i
\(22\) 0.655683 0.455980i 0.139792 0.0972152i
\(23\) 0.0230979 + 0.175446i 0.00481624 + 0.0365830i 0.993684 0.112212i \(-0.0357937\pi\)
−0.988868 + 0.148795i \(0.952460\pi\)
\(24\) −4.73638 1.25170i −0.966809 0.255501i
\(25\) 0.539322 4.09656i 0.107864 0.819312i
\(26\) 0.493241 0.254753i 0.0967326 0.0499612i
\(27\) −4.43035 2.71514i −0.852621 0.522530i
\(28\) 5.20055 0.882558i 0.982812 0.166788i
\(29\) 3.44929 0.226078i 0.640516 0.0419817i 0.258315 0.966061i \(-0.416833\pi\)
0.382201 + 0.924079i \(0.375166\pi\)
\(30\) −0.369410 2.25213i −0.0674447 0.411180i
\(31\) −6.55413 + 3.78403i −1.17716 + 0.679631i −0.955355 0.295460i \(-0.904527\pi\)
−0.221801 + 0.975092i \(0.571194\pi\)
\(32\) 3.84560 + 4.14866i 0.679813 + 0.733386i
\(33\) −0.948040 0.240784i −0.165032 0.0419150i
\(34\) 2.54797 3.45166i 0.436973 0.591955i
\(35\) 1.36523 + 2.04321i 0.230766 + 0.345366i
\(36\) 2.64248 + 5.38677i 0.440413 + 0.897795i
\(37\) −0.453900 2.28191i −0.0746207 0.375144i 0.925372 0.379061i \(-0.123753\pi\)
−0.999992 + 0.00391755i \(0.998753\pi\)
\(38\) 7.46233 + 0.349852i 1.21055 + 0.0567535i
\(39\) −0.631505 0.251954i −0.101122 0.0403449i
\(40\) −1.03191 + 2.42485i −0.163160 + 0.383402i
\(41\) −0.149016 1.13189i −0.0232723 0.176771i 0.975861 0.218392i \(-0.0700811\pi\)
−0.999133 + 0.0416211i \(0.986748\pi\)
\(42\) −4.98968 4.10366i −0.769925 0.633209i
\(43\) −4.73832 + 2.33668i −0.722587 + 0.356340i −0.766108 0.642712i \(-0.777809\pi\)
0.0435210 + 0.999053i \(0.486142\pi\)
\(44\) 0.775773 + 0.820884i 0.116952 + 0.123753i
\(45\) −1.78737 + 2.14898i −0.266446 + 0.320351i
\(46\) −0.240485 + 0.0692570i −0.0354576 + 0.0102114i
\(47\) 5.24019 1.40411i 0.764361 0.204810i 0.144482 0.989507i \(-0.453848\pi\)
0.619879 + 0.784698i \(0.287182\pi\)
\(48\) 0.752749 6.88719i 0.108650 0.994080i
\(49\) −0.0423382 0.0113445i −0.00604831 0.00162064i
\(50\) 5.84239 0.108691i 0.826239 0.0153712i
\(51\) −5.23825 + 0.412195i −0.733501 + 0.0577189i
\(52\) 0.460153 + 0.636106i 0.0638117 + 0.0882121i
\(53\) 1.39598 2.08923i 0.191753 0.286978i −0.723118 0.690724i \(-0.757292\pi\)
0.914871 + 0.403746i \(0.132292\pi\)
\(54\) 2.86375 6.76749i 0.389707 0.920939i
\(55\) −0.201355 + 0.486114i −0.0271507 + 0.0655475i
\(56\) 2.32965 + 7.08675i 0.311312 + 0.947007i
\(57\) −5.66430 7.18531i −0.750255 0.951718i
\(58\) 1.04271 + 4.77599i 0.136915 + 0.627119i
\(59\) 5.10334 + 5.81925i 0.664399 + 0.757602i 0.981640 0.190743i \(-0.0610898\pi\)
−0.317241 + 0.948345i \(0.602756\pi\)
\(60\) 3.07165 0.990986i 0.396548 0.127936i
\(61\) 0.478912 + 7.30678i 0.0613183 + 0.935537i 0.912087 + 0.409997i \(0.134470\pi\)
−0.850769 + 0.525540i \(0.823863\pi\)
\(62\) −6.67229 8.36848i −0.847382 1.06280i
\(63\) 0.206930 + 7.90966i 0.0260707 + 0.996523i
\(64\) −4.99160 + 6.25171i −0.623951 + 0.781464i
\(65\) −0.182871 + 0.316741i −0.0226823 + 0.0392869i
\(66\) 0.137026 1.37649i 0.0168667 0.169435i
\(67\) −5.64192 2.78229i −0.689271 0.339911i 0.0636960 0.997969i \(-0.479711\pi\)
−0.752967 + 0.658059i \(0.771378\pi\)
\(68\) 5.36364 + 2.83612i 0.650437 + 0.343930i
\(69\) 0.257053 + 0.166937i 0.0309456 + 0.0200968i
\(70\) −2.56974 + 2.33958i −0.307142 + 0.279633i
\(71\) 2.68474 + 6.48154i 0.318620 + 0.769217i 0.999328 + 0.0366618i \(0.0116724\pi\)
−0.680708 + 0.732555i \(0.738328\pi\)
\(72\) −6.97646 + 4.83001i −0.822184 + 0.569222i
\(73\) 3.49286 8.43250i 0.408808 0.986950i −0.576644 0.816995i \(-0.695638\pi\)
0.985452 0.169954i \(-0.0543619\pi\)
\(74\) 3.09550 1.11541i 0.359845 0.129664i
\(75\) −4.78869 5.31851i −0.552950 0.614128i
\(76\) 1.08262 + 10.5093i 0.124185 + 1.20550i
\(77\) 0.478767 + 1.41040i 0.0545606 + 0.160730i
\(78\) 0.219322 0.936192i 0.0248333 0.106003i
\(79\) 0.114207 + 0.426226i 0.0128493 + 0.0479541i 0.972053 0.234762i \(-0.0754311\pi\)
−0.959204 + 0.282716i \(0.908764\pi\)
\(80\) −3.60836 0.932299i −0.403427 0.104234i
\(81\) −8.55964 + 2.78074i −0.951072 + 0.308971i
\(82\) 1.55148 0.446810i 0.171333 0.0493419i
\(83\) 8.40550 + 7.37142i 0.922623 + 0.809119i 0.981954 0.189119i \(-0.0605633\pi\)
−0.0593308 + 0.998238i \(0.518897\pi\)
\(84\) 4.68770 7.84216i 0.511469 0.855650i
\(85\) −0.184862 + 2.82044i −0.0200511 + 0.305920i
\(86\) −4.26578 6.13405i −0.459991 0.661451i
\(87\) 3.58232 4.79719i 0.384065 0.514313i
\(88\) −0.984548 + 1.25778i −0.104953 + 0.134080i
\(89\) 13.4897 5.58763i 1.42991 0.592287i 0.472579 0.881288i \(-0.343323\pi\)
0.957329 + 0.289001i \(0.0933231\pi\)
\(90\) −3.38171 2.04687i −0.356463 0.215759i
\(91\) 0.201982 + 1.01543i 0.0211734 + 0.106446i
\(92\) −0.147507 0.321715i −0.0153787 0.0335411i
\(93\) −2.38895 + 12.8887i −0.247722 + 1.33650i
\(94\) 3.06735 + 7.03233i 0.316373 + 0.725329i
\(95\) −4.26235 + 2.46087i −0.437308 + 0.252480i
\(96\) 9.78987 0.398045i 0.999174 0.0406253i
\(97\) 10.4183 + 6.01499i 1.05781 + 0.610730i 0.924827 0.380388i \(-0.124210\pi\)
0.132988 + 0.991118i \(0.457543\pi\)
\(98\) 0.00694643 0.0615969i 0.000701696 0.00622223i
\(99\) −1.38357 + 0.977758i −0.139054 + 0.0982684i
\(100\) 1.38264 + 8.14733i 0.138264 + 0.814733i
\(101\) 11.4866 + 3.89918i 1.14296 + 0.387983i 0.827783 0.561049i \(-0.189602\pi\)
0.315179 + 0.949032i \(0.397935\pi\)
\(102\) −1.67982 7.23854i −0.166326 0.716723i
\(103\) −9.48090 7.27495i −0.934181 0.716822i 0.0249787 0.999688i \(-0.492048\pi\)
−0.959159 + 0.282866i \(0.908715\pi\)
\(104\) −0.792629 + 0.777485i −0.0777237 + 0.0762387i
\(105\) 4.22675 + 0.500321i 0.412489 + 0.0488263i
\(106\) 3.21572 + 1.51212i 0.312338 + 0.146870i
\(107\) −0.806799 0.539086i −0.0779962 0.0521154i 0.515961 0.856612i \(-0.327435\pi\)
−0.593957 + 0.804497i \(0.702435\pi\)
\(108\) 10.0671 + 2.57928i 0.968711 + 0.248191i
\(109\) −0.642711 + 3.23113i −0.0615605 + 0.309486i −0.999281 0.0379040i \(-0.987932\pi\)
0.937721 + 0.347390i \(0.112932\pi\)
\(110\) −0.722213 0.179187i −0.0688604 0.0170848i
\(111\) −3.51597 1.96910i −0.333721 0.186898i
\(112\) −9.41967 + 4.75063i −0.890075 + 0.448892i
\(113\) 16.4204 + 4.39984i 1.54470 + 0.413902i 0.927782 0.373122i \(-0.121713\pi\)
0.616922 + 0.787025i \(0.288380\pi\)
\(114\) 8.85509 9.43470i 0.829355 0.883640i
\(115\) 0.108710 0.123960i 0.0101373 0.0115594i
\(116\) −6.45930 + 2.46419i −0.599731 + 0.228794i
\(117\) −1.04221 + 0.548301i −0.0963524 + 0.0506905i
\(118\) −7.06289 + 8.36248i −0.650192 + 0.769829i
\(119\) 4.87077 + 6.34772i 0.446503 + 0.581894i
\(120\) 2.03285 + 4.08677i 0.185573 + 0.373070i
\(121\) 6.50223 8.47387i 0.591112 0.770352i
\(122\) −10.1172 + 2.20883i −0.915969 + 0.199978i
\(123\) −1.65837 1.07699i −0.149531 0.0971089i
\(124\) 10.2974 11.0935i 0.924729 0.996229i
\(125\) −7.07441 + 4.72697i −0.632755 + 0.422793i
\(126\) −11.0176 + 1.95547i −0.981524 + 0.174207i
\(127\) −10.5189 −0.933404 −0.466702 0.884415i \(-0.654558\pi\)
−0.466702 + 0.884415i \(0.654558\pi\)
\(128\) −9.79407 5.66359i −0.865681 0.500596i
\(129\) −2.25258 + 8.86911i −0.198329 + 0.780881i
\(130\) −0.481463 0.189015i −0.0422271 0.0165777i
\(131\) −17.0296 8.39806i −1.48788 0.733742i −0.496908 0.867803i \(-0.665531\pi\)
−0.990973 + 0.134062i \(0.957198\pi\)
\(132\) 1.95381 0.0983226i 0.170057 0.00855789i
\(133\) −4.47837 + 13.1929i −0.388324 + 1.14397i
\(134\) 2.70244 8.47595i 0.233456 0.732210i
\(135\) 0.819703 + 4.77143i 0.0705488 + 0.410659i
\(136\) −2.83634 + 8.09812i −0.243214 + 0.694408i
\(137\) −6.10730 7.95918i −0.521781 0.679999i 0.455915 0.890024i \(-0.349312\pi\)
−0.977696 + 0.210025i \(0.932646\pi\)
\(138\) −0.179305 + 0.394637i −0.0152635 + 0.0335937i
\(139\) −22.5221 1.47618i −1.91030 0.125208i −0.936219 0.351417i \(-0.885700\pi\)
−0.974079 + 0.226209i \(0.927367\pi\)
\(140\) −3.81304 3.10081i −0.322261 0.262066i
\(141\) 4.04538 8.48105i 0.340683 0.714233i
\(142\) −8.49852 + 5.11972i −0.713180 + 0.429637i
\(143\) −0.156753 + 0.156753i −0.0131084 + 0.0131084i
\(144\) −8.22400 8.73876i −0.685333 0.728230i
\(145\) −2.27734 2.27734i −0.189123 0.189123i
\(146\) 12.5281 + 3.10832i 1.03683 + 0.257247i
\(147\) −0.0625671 + 0.0430001i −0.00516045 + 0.00354659i
\(148\) 2.21187 + 4.09392i 0.181815 + 0.336518i
\(149\) 0.152878 2.33246i 0.0125242 0.191083i −0.987012 0.160644i \(-0.948643\pi\)
0.999537 0.0304388i \(-0.00969046\pi\)
\(150\) 6.42891 7.81698i 0.524919 0.638253i
\(151\) 10.0293 7.69577i 0.816174 0.626273i −0.113963 0.993485i \(-0.536354\pi\)
0.930137 + 0.367212i \(0.119688\pi\)
\(152\) −14.4686 + 3.72766i −1.17356 + 0.302353i
\(153\) −5.34959 + 7.36270i −0.432489 + 0.595239i
\(154\) −1.87151 + 0.966613i −0.150811 + 0.0778919i
\(155\) 6.67705 + 2.26655i 0.536314 + 0.182054i
\(156\) 1.35541 + 0.109508i 0.108519 + 0.00876766i
\(157\) 5.44722 11.0459i 0.434736 0.881557i −0.563718 0.825967i \(-0.690630\pi\)
0.998454 0.0555895i \(-0.0177038\pi\)
\(158\) −0.571994 + 0.249492i −0.0455054 + 0.0198485i
\(159\) −1.18129 4.18874i −0.0936826 0.332189i
\(160\) 0.543697 5.24245i 0.0429830 0.414452i
\(161\) 0.466724i 0.0367830i
\(162\) −5.69170 11.3844i −0.447182 0.894443i
\(163\) −1.49313 2.23463i −0.116951 0.175030i 0.768376 0.639999i \(-0.221065\pi\)
−0.885327 + 0.464969i \(0.846065\pi\)
\(164\) 0.951641 + 2.07554i 0.0743107 + 0.162072i
\(165\) 0.413732 + 0.812020i 0.0322090 + 0.0632157i
\(166\) −8.53795 + 13.3073i −0.662673 + 1.03285i
\(167\) −10.7252 8.22974i −0.829942 0.636837i 0.103874 0.994590i \(-0.466876\pi\)
−0.933816 + 0.357754i \(0.883543\pi\)
\(168\) 11.9542 + 4.90358i 0.922287 + 0.378319i
\(169\) 10.1913 7.82009i 0.783949 0.601546i
\(170\) −3.98316 + 0.335581i −0.305494 + 0.0257379i
\(171\) −15.8351 0.622549i −1.21094 0.0476075i
\(172\) 7.67954 7.25751i 0.585560 0.553380i
\(173\) −9.97519 8.74801i −0.758400 0.665099i 0.190140 0.981757i \(-0.439106\pi\)
−0.948540 + 0.316658i \(0.897439\pi\)
\(174\) 7.46316 + 3.99918i 0.565780 + 0.303177i
\(175\) −2.82054 + 10.5264i −0.213213 + 0.795721i
\(176\) −1.96632 1.11189i −0.148217 0.0838119i
\(177\) 13.4049 0.175318i 1.00758 0.0131777i
\(178\) 10.6554 + 17.6876i 0.798658 + 1.32574i
\(179\) 4.81839 + 0.958437i 0.360143 + 0.0716370i 0.371846 0.928295i \(-0.378725\pi\)
−0.0117023 + 0.999932i \(0.503725\pi\)
\(180\) 2.15010 5.16026i 0.160259 0.384623i
\(181\) −10.7495 + 16.0877i −0.799003 + 1.19579i 0.178306 + 0.983975i \(0.442938\pi\)
−0.977309 + 0.211818i \(0.932062\pi\)
\(182\) −1.37747 + 0.496350i −0.102105 + 0.0367919i
\(183\) 10.1621 + 7.58859i 0.751204 + 0.560965i
\(184\) 0.418828 0.274046i 0.0308764 0.0202030i
\(185\) −1.31964 + 1.71978i −0.0970216 + 0.126441i
\(186\) −18.5273 0.625911i −1.35849 0.0458940i
\(187\) −0.550687 + 1.62227i −0.0402702 + 0.118632i
\(188\) −9.18817 + 5.77079i −0.670116 + 0.420878i
\(189\) 10.6502 + 8.62498i 0.774686 + 0.627375i
\(190\) −4.33920 5.44228i −0.314798 0.394824i
\(191\) 8.20211 14.2065i 0.593484 1.02794i −0.400275 0.916395i \(-0.631085\pi\)
0.993759 0.111549i \(-0.0355813\pi\)
\(192\) 2.61878 + 13.6067i 0.188994 + 0.981978i
\(193\) −2.18935 3.79206i −0.157593 0.272958i 0.776407 0.630231i \(-0.217040\pi\)
−0.934000 + 0.357273i \(0.883707\pi\)
\(194\) −6.21709 + 15.8363i −0.446361 + 1.13698i
\(195\) 0.211454 + 0.597149i 0.0151425 + 0.0427628i
\(196\) 0.0876027 0.00326062i 0.00625734 0.000232902i
\(197\) 1.09148 0.217109i 0.0777646 0.0154683i −0.156055 0.987748i \(-0.549878\pi\)
0.233819 + 0.972280i \(0.424878\pi\)
\(198\) −1.65877 1.72888i −0.117884 0.122866i
\(199\) 3.11448 + 7.51902i 0.220780 + 0.533009i 0.994996 0.0999115i \(-0.0318560\pi\)
−0.774217 + 0.632921i \(0.781856\pi\)
\(200\) −11.1023 + 3.64969i −0.785051 + 0.258072i
\(201\) −10.0110 + 4.30091i −0.706119 + 0.303363i
\(202\) −3.03322 + 16.8847i −0.213417 + 1.18800i
\(203\) −9.09734 0.596271i −0.638508 0.0418500i
\(204\) 9.76882 3.87385i 0.683954 0.271224i
\(205\) −0.701342 + 0.799727i −0.0489838 + 0.0558554i
\(206\) 8.17651 14.7909i 0.569685 1.03053i
\(207\) 0.509021 0.150766i 0.0353794 0.0104789i
\(208\) −1.25423 0.944674i −0.0869649 0.0655013i
\(209\) −2.88151 + 0.772097i −0.199318 + 0.0534071i
\(210\) 0.190656 + 6.01624i 0.0131565 + 0.415160i
\(211\) 22.1062 7.50404i 1.52185 0.516600i 0.569604 0.821919i \(-0.307097\pi\)
0.952250 + 0.305320i \(0.0987634\pi\)
\(212\) −1.43725 + 4.81549i −0.0987104 + 0.330730i
\(213\) 11.5565 + 3.75510i 0.791841 + 0.257295i
\(214\) 0.583934 1.24181i 0.0399169 0.0848885i
\(215\) 4.54769 + 1.88372i 0.310150 + 0.128468i
\(216\) −1.48641 + 14.6216i −0.101138 + 0.994872i
\(217\) 18.4410 7.63852i 1.25186 0.518536i
\(218\) −4.65391 0.218187i −0.315203 0.0147775i
\(219\) −7.17692 14.0859i −0.484971 0.951838i
\(220\) 0.0984553 1.04772i 0.00663786 0.0706370i
\(221\) −0.526700 + 1.06804i −0.0354297 + 0.0718443i
\(222\) 2.01305 5.33164i 0.135107 0.357837i
\(223\) −13.1507 7.59257i −0.880638 0.508436i −0.00976897 0.999952i \(-0.503110\pi\)
−0.870869 + 0.491516i \(0.836443\pi\)
\(224\) −8.62762 12.1722i −0.576457 0.813287i
\(225\) −12.3915 + 0.324182i −0.826099 + 0.0216121i
\(226\) −2.69410 + 23.8897i −0.179209 + 1.58912i
\(227\) 6.12440 0.401414i 0.406490 0.0266428i 0.139213 0.990262i \(-0.455543\pi\)
0.267277 + 0.963620i \(0.413876\pi\)
\(228\) 15.0591 + 10.3960i 0.997312 + 0.688490i
\(229\) 17.6033 15.4377i 1.16326 1.02015i 0.163829 0.986489i \(-0.447616\pi\)
0.999433 0.0336643i \(-0.0107177\pi\)
\(230\) 0.196250 + 0.125914i 0.0129403 + 0.00830250i
\(231\) 2.39613 + 0.955992i 0.157654 + 0.0628997i
\(232\) −4.80660 8.51387i −0.315569 0.558963i
\(233\) 10.3019 + 4.26717i 0.674897 + 0.279552i 0.693692 0.720272i \(-0.255983\pi\)
−0.0187947 + 0.999823i \(0.505983\pi\)
\(234\) −0.986297 1.34197i −0.0644763 0.0877275i
\(235\) −4.20274 2.80818i −0.274156 0.183185i
\(236\) −13.1821 8.11555i −0.858085 0.528277i
\(237\) 0.689830 + 0.329042i 0.0448093 + 0.0213736i
\(238\) −7.85091 + 8.14856i −0.508899 + 0.528193i
\(239\) −4.77534 + 17.8218i −0.308891 + 1.15280i 0.620653 + 0.784085i \(0.286868\pi\)
−0.929544 + 0.368711i \(0.879799\pi\)
\(240\) −5.28690 + 3.70365i −0.341268 + 0.239069i
\(241\) 3.68573 + 13.7553i 0.237419 + 0.886059i 0.977044 + 0.213040i \(0.0683364\pi\)
−0.739625 + 0.673020i \(0.764997\pi\)
\(242\) 13.2198 + 7.30803i 0.849802 + 0.469778i
\(243\) −5.96632 + 14.4015i −0.382739 + 0.923856i
\(244\) −5.22000 13.6830i −0.334176 0.875966i
\(245\) 0.0180624 + 0.0366270i 0.00115397 + 0.00234001i
\(246\) 1.15678 2.54599i 0.0737538 0.162327i
\(247\) −2.05587 + 0.270661i −0.130812 + 0.0172217i
\(248\) 17.6827 + 12.0635i 1.12285 + 0.766031i
\(249\) 19.1638 2.77838i 1.21446 0.176073i
\(250\) −8.10054 8.89744i −0.512323 0.562724i
\(251\) −12.1737 + 2.42149i −0.768395 + 0.152843i −0.563697 0.825982i \(-0.690621\pi\)
−0.204698 + 0.978825i \(0.565621\pi\)
\(252\) −5.05535 14.9955i −0.318457 0.944629i
\(253\) 0.0830923 0.0555205i 0.00522397 0.00349055i
\(254\) −2.21571 14.7101i −0.139026 0.922992i
\(255\) 3.50671 + 3.41617i 0.219599 + 0.213929i
\(256\) 5.85716 14.8894i 0.366073 0.930586i
\(257\) 8.78227 + 15.2113i 0.547823 + 0.948857i 0.998423 + 0.0561311i \(0.0178765\pi\)
−0.450601 + 0.892726i \(0.648790\pi\)
\(258\) −12.8774 1.28191i −0.801711 0.0798080i
\(259\) 0.401336 + 6.12320i 0.0249378 + 0.380477i
\(260\) 0.162910 0.713111i 0.0101033 0.0442253i
\(261\) −2.28840 10.1144i −0.141648 0.626067i
\(262\) 8.15705 25.5838i 0.503945 1.58057i
\(263\) 22.7789 + 2.99889i 1.40460 + 0.184920i 0.794434 0.607351i \(-0.207768\pi\)
0.610170 + 0.792270i \(0.291101\pi\)
\(264\) 0.549048 + 2.71157i 0.0337916 + 0.166885i
\(265\) −2.32109 + 0.305577i −0.142583 + 0.0187715i
\(266\) −19.3927 3.48378i −1.18904 0.213604i
\(267\) 7.81532 24.0521i 0.478290 1.47196i
\(268\) 12.4223 + 1.99383i 0.758815 + 0.121792i
\(269\) −19.7408 3.92668i −1.20362 0.239414i −0.447761 0.894153i \(-0.647778\pi\)
−0.755855 + 0.654740i \(0.772778\pi\)
\(270\) −6.49989 + 2.15136i −0.395571 + 0.130928i
\(271\) 14.9319 14.9319i 0.907050 0.907050i −0.0889828 0.996033i \(-0.528362\pi\)
0.996033 + 0.0889828i \(0.0283616\pi\)
\(272\) −11.9222 2.26065i −0.722888 0.137072i
\(273\) 1.56458 + 0.876232i 0.0946927 + 0.0530319i
\(274\) 9.84399 10.2172i 0.594697 0.617244i
\(275\) −2.20957 + 0.750049i −0.133242 + 0.0452297i
\(276\) −0.589645 0.167621i −0.0354924 0.0100896i
\(277\) −12.8767 + 6.35008i −0.773685 + 0.381539i −0.785874 0.618386i \(-0.787787\pi\)
0.0121890 + 0.999926i \(0.496120\pi\)
\(278\) −2.67972 31.8067i −0.160719 1.90764i
\(279\) 14.2878 + 17.6448i 0.855386 + 1.05637i
\(280\) 3.53311 5.98546i 0.211144 0.357700i
\(281\) 2.22663 16.9130i 0.132830 1.00894i −0.787090 0.616838i \(-0.788414\pi\)
0.919920 0.392105i \(-0.128253\pi\)
\(282\) 12.7124 + 3.87077i 0.757010 + 0.230501i
\(283\) 12.4471 10.9158i 0.739901 0.648876i −0.204050 0.978960i \(-0.565411\pi\)
0.943951 + 0.330085i \(0.107077\pi\)
\(284\) −8.94974 10.8062i −0.531069 0.641232i
\(285\) −1.55361 + 8.38194i −0.0920276 + 0.496503i
\(286\) −0.252228 0.186191i −0.0149146 0.0110097i
\(287\) 3.01106i 0.177737i
\(288\) 10.4883 13.3415i 0.618030 0.786155i
\(289\) 7.79695i 0.458644i
\(290\) 2.70502 3.66442i 0.158844 0.215182i
\(291\) 19.6415 6.95514i 1.15140 0.407718i
\(292\) −1.70788 + 18.1745i −0.0999462 + 1.06358i
\(293\) 10.9305 9.58583i 0.638569 0.560010i −0.277652 0.960682i \(-0.589556\pi\)
0.916222 + 0.400671i \(0.131223\pi\)
\(294\) −0.0733121 0.0784387i −0.00427565 0.00457464i
\(295\) 0.941286 7.14978i 0.0548038 0.416276i
\(296\) −5.25918 + 3.95551i −0.305684 + 0.229910i
\(297\) −0.268610 + 2.92210i −0.0155863 + 0.169557i
\(298\) 3.29401 0.277520i 0.190817 0.0160763i
\(299\) 0.0623013 0.0307236i 0.00360298 0.00177679i
\(300\) 12.2857 + 7.34387i 0.709318 + 0.423999i
\(301\) 13.1946 4.47896i 0.760524 0.258163i
\(302\) 12.8746 + 12.4044i 0.740852 + 0.713790i
\(303\) 18.0566 10.7423i 1.03733 0.617127i
\(304\) −8.26056 19.4482i −0.473776 1.11543i
\(305\) 4.82419 4.82419i 0.276232 0.276232i
\(306\) −11.4231 5.93019i −0.653016 0.339006i
\(307\) −4.86736 0.968178i −0.277795 0.0552569i 0.0542266 0.998529i \(-0.482731\pi\)
−0.332022 + 0.943272i \(0.607731\pi\)
\(308\) −1.74597 2.41359i −0.0994856 0.137527i
\(309\) −20.2465 + 4.30326i −1.15178 + 0.244804i
\(310\) −1.76318 + 9.81488i −0.100142 + 0.557447i
\(311\) 33.9175 4.46533i 1.92329 0.253206i 0.929882 0.367859i \(-0.119909\pi\)
0.993406 + 0.114654i \(0.0365758\pi\)
\(312\) 0.132363 + 1.91852i 0.00749356 + 0.108615i
\(313\) 11.4246 + 1.50407i 0.645755 + 0.0850152i 0.446288 0.894889i \(-0.352746\pi\)
0.199467 + 0.979905i \(0.436079\pi\)
\(314\) 16.5944 + 5.29090i 0.936475 + 0.298583i
\(315\) 5.41359 5.00403i 0.305021 0.281945i
\(316\) −0.469384 0.747346i −0.0264049 0.0420415i
\(317\) −1.71291 26.1339i −0.0962066 1.46783i −0.724189 0.689601i \(-0.757786\pi\)
0.627983 0.778227i \(-0.283881\pi\)
\(318\) 5.60887 2.53428i 0.314530 0.142115i
\(319\) −0.976045 1.69056i −0.0546480 0.0946532i
\(320\) 7.44577 0.343944i 0.416231 0.0192270i
\(321\) −1.61756 + 0.456179i −0.0902837 + 0.0254614i
\(322\) 0.652684 0.0983108i 0.0363727 0.00547864i
\(323\) −13.3244 + 8.90309i −0.741390 + 0.495381i
\(324\) 14.7215 10.3575i 0.817860 0.575417i
\(325\) −1.59080 + 0.316430i −0.0882418 + 0.0175524i
\(326\) 2.81048 2.55875i 0.155658 0.141716i
\(327\) 3.53257 + 4.48115i 0.195351 + 0.247808i
\(328\) −2.70206 + 1.76800i −0.149196 + 0.0976217i
\(329\) −14.1859 + 1.86761i −0.782094 + 0.102965i
\(330\) −1.04841 + 0.749623i −0.0577131 + 0.0412654i
\(331\) 7.68150 + 15.5765i 0.422214 + 0.856165i 0.999222 + 0.0394267i \(0.0125532\pi\)
−0.577009 + 0.816738i \(0.695780\pi\)
\(332\) −20.4079 9.13675i −1.12003 0.501444i
\(333\) −6.54849 + 2.41568i −0.358855 + 0.132379i
\(334\) 9.24963 16.7321i 0.506117 0.915538i
\(335\) 1.51696 + 5.66139i 0.0828806 + 0.309315i
\(336\) −4.33932 + 17.7501i −0.236729 + 0.968348i
\(337\) 3.83680 14.3191i 0.209004 0.780012i −0.779188 0.626790i \(-0.784368\pi\)
0.988192 0.153222i \(-0.0489649\pi\)
\(338\) 13.0826 + 12.6047i 0.711601 + 0.685608i
\(339\) 24.2660 16.6771i 1.31795 0.905778i
\(340\) −1.30830 5.49951i −0.0709527 0.298253i
\(341\) 3.55362 + 2.37445i 0.192439 + 0.128584i
\(342\) −2.46492 22.2756i −0.133288 1.20453i
\(343\) 17.1636 + 7.10941i 0.926749 + 0.383872i
\(344\) 11.7668 + 9.21065i 0.634424 + 0.496605i
\(345\) −0.0409743 0.282619i −0.00220598 0.0152157i
\(346\) 10.1324 15.7924i 0.544720 0.849003i
\(347\) −5.56296 + 4.87859i −0.298635 + 0.261896i −0.795529 0.605915i \(-0.792807\pi\)
0.496894 + 0.867811i \(0.334474\pi\)
\(348\) −4.02056 + 11.2792i −0.215525 + 0.604626i
\(349\) −26.6894 + 1.74932i −1.42865 + 0.0936389i −0.759994 0.649930i \(-0.774798\pi\)
−0.668659 + 0.743569i \(0.733132\pi\)
\(350\) −15.3146 1.72707i −0.818602 0.0923157i
\(351\) −0.450236 + 1.98942i −0.0240318 + 0.106187i
\(352\) 1.14072 2.98398i 0.0608008 0.159047i
\(353\) −2.28794 1.32094i −0.121775 0.0703068i 0.437875 0.899036i \(-0.355731\pi\)
−0.559650 + 0.828729i \(0.689064\pi\)
\(354\) 3.06879 + 18.7091i 0.163104 + 0.994376i
\(355\) 2.89102 5.86241i 0.153439 0.311144i
\(356\) −22.4905 + 18.6267i −1.19200 + 0.987212i
\(357\) 13.8393 + 0.725458i 0.732456 + 0.0383953i
\(358\) −0.325369 + 6.94011i −0.0171963 + 0.366796i
\(359\) −1.31206 + 0.543474i −0.0692480 + 0.0286834i −0.417039 0.908889i \(-0.636932\pi\)
0.347791 + 0.937572i \(0.386932\pi\)
\(360\) 7.66921 + 1.91983i 0.404203 + 0.101184i
\(361\) −8.22655 3.40755i −0.432977 0.179345i
\(362\) −24.7620 11.6438i −1.30146 0.611983i
\(363\) −3.84618 18.0959i −0.201872 0.949791i
\(364\) −0.984266 1.82176i −0.0515895 0.0954862i
\(365\) −8.05270 + 2.73352i −0.421498 + 0.143079i
\(366\) −8.47164 + 15.8095i −0.442820 + 0.826378i
\(367\) −24.2983 + 6.51071i −1.26836 + 0.339856i −0.829402 0.558652i \(-0.811319\pi\)
−0.438958 + 0.898508i \(0.644652\pi\)
\(368\) 0.471459 + 0.527980i 0.0245765 + 0.0275229i
\(369\) −3.28394 + 0.972661i −0.170955 + 0.0506347i
\(370\) −2.68298 1.48317i −0.139481 0.0771066i
\(371\) −4.36957 + 4.98254i −0.226857 + 0.258681i
\(372\) −3.02730 26.0411i −0.156958 1.35017i
\(373\) 2.56466 + 0.168097i 0.132793 + 0.00870373i 0.131655 0.991296i \(-0.457971\pi\)
0.00113847 + 0.999999i \(0.499638\pi\)
\(374\) −2.38464 0.428387i −0.123307 0.0221513i
\(375\) −1.73231 + 14.6347i −0.0894560 + 0.755732i
\(376\) −10.0055 11.6335i −0.515994 0.599954i
\(377\) −0.519268 1.25362i −0.0267436 0.0645649i
\(378\) −9.81815 + 16.7104i −0.504991 + 0.859489i
\(379\) 4.33683 0.862650i 0.222768 0.0443113i −0.0824441 0.996596i \(-0.526273\pi\)
0.305212 + 0.952284i \(0.401273\pi\)
\(380\) 6.69668 7.21446i 0.343533 0.370094i
\(381\) −11.8327 + 13.8539i −0.606206 + 0.709758i
\(382\) 21.5946 + 8.47769i 1.10487 + 0.433757i
\(383\) 14.3471 + 24.8500i 0.733104 + 1.26977i 0.955550 + 0.294829i \(0.0952627\pi\)
−0.222446 + 0.974945i \(0.571404\pi\)
\(384\) −18.4765 + 6.52832i −0.942875 + 0.333147i
\(385\) 0.693869 1.20182i 0.0353628 0.0612502i
\(386\) 4.84180 3.86043i 0.246441 0.196491i
\(387\) 9.14713 + 12.9436i 0.464975 + 0.657958i
\(388\) −23.4557 5.35845i −1.19078 0.272034i
\(389\) −3.89675 + 11.4794i −0.197573 + 0.582031i −0.999889 0.0148677i \(-0.995267\pi\)
0.802317 + 0.596899i \(0.203601\pi\)
\(390\) −0.790536 + 0.421489i −0.0400304 + 0.0213429i
\(391\) 0.326804 0.425900i 0.0165272 0.0215387i
\(392\) 0.0230124 + 0.121820i 0.00116230 + 0.00615285i
\(393\) −30.2171 + 12.9819i −1.52425 + 0.654848i
\(394\) 0.533522 + 1.48063i 0.0268785 + 0.0745932i
\(395\) 0.228411 0.341842i 0.0114926 0.0171999i
\(396\) 2.06833 2.68386i 0.103937 0.134869i
\(397\) 20.5891 + 4.09543i 1.03334 + 0.205544i 0.682495 0.730890i \(-0.260895\pi\)
0.350844 + 0.936434i \(0.385895\pi\)
\(398\) −9.85885 + 5.93922i −0.494180 + 0.297706i
\(399\) 12.3379 + 20.7388i 0.617670 + 1.03824i
\(400\) −7.44246 14.7571i −0.372123 0.737856i
\(401\) 4.76070 17.7672i 0.237738 0.887250i −0.739158 0.673533i \(-0.764776\pi\)
0.976895 0.213718i \(-0.0685572\pi\)
\(402\) −8.12327 13.0938i −0.405152 0.653059i
\(403\) 2.23358 + 1.95880i 0.111262 + 0.0975746i
\(404\) −24.2511 0.685189i −1.20654 0.0340894i
\(405\) 7.20628 + 4.28776i 0.358083 + 0.213060i
\(406\) −1.08242 12.8477i −0.0537194 0.637619i
\(407\) −1.04239 + 0.799855i −0.0516694 + 0.0396474i
\(408\) 7.47504 + 12.8451i 0.370070 + 0.635928i
\(409\) −20.0154 15.3584i −0.989700 0.759423i −0.0190248 0.999819i \(-0.506056\pi\)
−0.970675 + 0.240396i \(0.922723\pi\)
\(410\) −1.26610 0.812329i −0.0625282 0.0401181i
\(411\) −17.3527 0.909626i −0.855945 0.0448686i
\(412\) 22.4064 + 8.31880i 1.10388 + 0.409838i
\(413\) −11.3414 16.9736i −0.558072 0.835214i
\(414\) 0.318057 + 0.680078i 0.0156316 + 0.0334240i
\(415\) 10.4165i 0.511325i
\(416\) 1.05688 1.95294i 0.0518177 0.0957509i
\(417\) −27.2791 + 28.0021i −1.33586 + 1.37127i
\(418\) −1.68669 3.86698i −0.0824988 0.189140i
\(419\) −11.6920 + 23.7091i −0.571193 + 1.15827i 0.399229 + 0.916851i \(0.369278\pi\)
−0.970422 + 0.241414i \(0.922389\pi\)
\(420\) −8.37318 + 1.53388i −0.408570 + 0.0748458i
\(421\) 31.0847 + 10.5518i 1.51498 + 0.514266i 0.950378 0.311099i \(-0.100697\pi\)
0.564600 + 0.825365i \(0.309030\pi\)
\(422\) 15.1504 + 29.3335i 0.737510 + 1.42793i
\(423\) −6.61933 14.8682i −0.321843 0.722918i
\(424\) −7.03692 0.995563i −0.341743 0.0483488i
\(425\) −9.94451 + 7.63069i −0.482379 + 0.370143i
\(426\) −2.81701 + 16.9521i −0.136485 + 0.821332i
\(427\) 1.26311 19.2713i 0.0611261 0.932604i
\(428\) 1.85960 + 0.555021i 0.0898871 + 0.0268279i
\(429\) 0.0301209 + 0.382782i 0.00145425 + 0.0184809i
\(430\) −1.67633 + 6.75646i −0.0808400 + 0.325825i
\(431\) −11.2770 11.2770i −0.543196 0.543196i 0.381269 0.924464i \(-0.375487\pi\)
−0.924464 + 0.381269i \(0.875487\pi\)
\(432\) −20.7605 + 1.00123i −0.998839 + 0.0481718i
\(433\) −16.4467 + 16.4467i −0.790379 + 0.790379i −0.981556 0.191177i \(-0.938770\pi\)
0.191177 + 0.981556i \(0.438770\pi\)
\(434\) 14.5664 + 24.1796i 0.699210 + 1.16066i
\(435\) −5.56113 + 0.437602i −0.266636 + 0.0209814i
\(436\) −0.675180 6.55417i −0.0323353 0.313888i
\(437\) 0.932781 + 0.0611377i 0.0446210 + 0.00292461i
\(438\) 18.1865 13.0035i 0.868987 0.621333i
\(439\) −11.9263 15.5427i −0.569213 0.741813i 0.416705 0.909042i \(-0.363185\pi\)
−0.985918 + 0.167229i \(0.946518\pi\)
\(440\) 1.48590 0.0830072i 0.0708377 0.00395721i
\(441\) −0.0137481 + 0.130774i −0.000654674 + 0.00622735i
\(442\) −1.60453 0.511585i −0.0763199 0.0243336i
\(443\) 3.38691 9.97751i 0.160917 0.474046i −0.836328 0.548230i \(-0.815302\pi\)
0.997245 + 0.0741840i \(0.0236352\pi\)
\(444\) 7.88001 + 1.69207i 0.373969 + 0.0803023i
\(445\) −12.2012 6.01695i −0.578390 0.285231i
\(446\) 7.84768 19.9898i 0.371598 0.946544i
\(447\) −2.90000 2.82512i −0.137165 0.133624i
\(448\) 15.2047 14.6291i 0.718354 0.691162i
\(449\) 24.4160 1.15226 0.576132 0.817357i \(-0.304562\pi\)
0.576132 + 0.817357i \(0.304562\pi\)
\(450\) −3.06349 17.2605i −0.144414 0.813665i
\(451\) −0.536069 + 0.358190i −0.0252425 + 0.0168665i
\(452\) −33.9758 + 1.26460i −1.59809 + 0.0594818i
\(453\) 1.14622 21.8660i 0.0538539 1.02735i
\(454\) 1.85140 + 8.48004i 0.0868904 + 0.397988i
\(455\) 0.587227 0.765289i 0.0275296 0.0358773i
\(456\) −11.3661 + 23.2490i −0.532266 + 1.08873i
\(457\) −16.9629 22.1065i −0.793491 1.03410i −0.998468 0.0553312i \(-0.982379\pi\)
0.204977 0.978767i \(-0.434288\pi\)
\(458\) 25.2967 + 21.3654i 1.18204 + 0.998339i
\(459\) 3.67932 + 15.3279i 0.171736 + 0.715446i
\(460\) −0.134744 + 0.300966i −0.00628249 + 0.0140326i
\(461\) −23.3905 + 26.6718i −1.08940 + 1.24223i −0.121050 + 0.992646i \(0.538626\pi\)
−0.968354 + 0.249581i \(0.919707\pi\)
\(462\) −0.832175 + 3.55221i −0.0387163 + 0.165264i
\(463\) −11.6853 3.13106i −0.543060 0.145513i −0.0231478 0.999732i \(-0.507369\pi\)
−0.519913 + 0.854219i \(0.674035\pi\)
\(464\) 10.8937 8.51510i 0.505726 0.395304i
\(465\) 10.4961 6.24437i 0.486746 0.289576i
\(466\) −3.79739 + 15.3054i −0.175911 + 0.709007i
\(467\) −3.81678 + 19.1883i −0.176620 + 0.887927i 0.786239 + 0.617922i \(0.212025\pi\)
−0.962859 + 0.270005i \(0.912975\pi\)
\(468\) 1.66891 1.66195i 0.0771456 0.0768236i
\(469\) 13.7952 + 9.21765i 0.637003 + 0.425632i
\(470\) 3.04180 6.46879i 0.140308 0.298383i
\(471\) −8.42041 19.5997i −0.387992 0.903106i
\(472\) 8.57241 20.1439i 0.394577 0.927197i
\(473\) 2.36701 + 1.81627i 0.108835 + 0.0835122i
\(474\) −0.314840 + 1.03400i −0.0144611 + 0.0474930i
\(475\) −20.6683 7.01594i −0.948327 0.321914i
\(476\) −13.0490 9.26260i −0.598099 0.424551i
\(477\) −6.84560 3.15607i −0.313438 0.144506i
\(478\) −25.9286 2.92403i −1.18595 0.133742i
\(479\) 27.0491 + 15.6168i 1.23590 + 0.713550i 0.968255 0.249966i \(-0.0804196\pi\)
0.267650 + 0.963516i \(0.413753\pi\)
\(480\) −6.29296 6.61327i −0.287233 0.301853i
\(481\) −0.790946 + 0.456653i −0.0360640 + 0.0208216i
\(482\) −18.4596 + 8.05170i −0.840813 + 0.366745i
\(483\) −0.614697 0.525014i −0.0279697 0.0238890i
\(484\) −7.43521 + 20.0265i −0.337964 + 0.910294i
\(485\) −2.18667 10.9931i −0.0992915 0.499172i
\(486\) −21.3964 5.31000i −0.970558 0.240866i
\(487\) 19.0047 7.87199i 0.861183 0.356714i 0.0920131 0.995758i \(-0.470670\pi\)
0.769170 + 0.639044i \(0.220670\pi\)
\(488\) 18.0353 10.1820i 0.816421 0.460920i
\(489\) −4.62273 0.547192i −0.209047 0.0247449i
\(490\) −0.0474160 + 0.0329743i −0.00214203 + 0.00148963i
\(491\) −1.59909 + 24.3974i −0.0721659 + 1.10104i 0.796174 + 0.605068i \(0.206854\pi\)
−0.868340 + 0.495970i \(0.834813\pi\)
\(492\) 3.80408 + 1.08140i 0.171501 + 0.0487534i
\(493\) −7.88408 6.91416i −0.355081 0.311398i
\(494\) −0.811552 2.81800i −0.0365134 0.126788i
\(495\) 1.53487 + 0.368530i 0.0689874 + 0.0165642i
\(496\) −13.1453 + 27.2692i −0.590243 + 1.22442i
\(497\) −4.78899 17.8728i −0.214816 0.801703i
\(498\) 7.92207 + 26.2142i 0.354996 + 1.17469i
\(499\) 5.93240 + 17.4763i 0.265571 + 0.782346i 0.995143 + 0.0984420i \(0.0313859\pi\)
−0.729572 + 0.683904i \(0.760281\pi\)
\(500\) 10.7362 13.2023i 0.480139 0.590423i
\(501\) −22.9037 + 4.86804i −1.02326 + 0.217488i
\(502\) −5.95057 16.5141i −0.265587 0.737059i
\(503\) 11.7122 28.2758i 0.522221 1.26075i −0.414299 0.910141i \(-0.635973\pi\)
0.936520 0.350613i \(-0.114027\pi\)
\(504\) 19.9054 10.2283i 0.886659 0.455603i
\(505\) −4.32510 10.4417i −0.192465 0.464651i
\(506\) 0.0951446 + 0.104505i 0.00422970 + 0.00464580i
\(507\) 1.16473 22.2193i 0.0517276 0.986792i
\(508\) 20.1044 6.19706i 0.891989 0.274950i
\(509\) −31.5525 15.5600i −1.39854 0.689684i −0.422318 0.906448i \(-0.638783\pi\)
−0.976224 + 0.216763i \(0.930450\pi\)
\(510\) −4.03865 + 5.62350i −0.178834 + 0.249013i
\(511\) −12.0364 + 20.8476i −0.532458 + 0.922245i
\(512\) 22.0556 + 5.05458i 0.974731 + 0.223383i
\(513\) −18.6328 + 20.1553i −0.822657 + 0.889880i
\(514\) −19.4222 + 15.4856i −0.856677 + 0.683040i
\(515\) 0.728222 + 11.1105i 0.0320893 + 0.489588i
\(516\) −0.919829 18.2783i −0.0404932 0.804655i
\(517\) −2.02002 2.30340i −0.0888406 0.101303i
\(518\) −8.47839 + 1.85104i −0.372519 + 0.0813299i
\(519\) −22.7426 + 3.29723i −0.998288 + 0.144733i
\(520\) 1.03156 + 0.0776103i 0.0452368 + 0.00340344i
\(521\) −9.54227 + 23.0371i −0.418055 + 1.00927i 0.564856 + 0.825190i \(0.308932\pi\)
−0.982911 + 0.184084i \(0.941068\pi\)
\(522\) 13.6624 5.33069i 0.597985 0.233318i
\(523\) −13.1817 + 19.7278i −0.576396 + 0.862637i −0.999047 0.0436555i \(-0.986100\pi\)
0.422651 + 0.906292i \(0.361100\pi\)
\(524\) 37.4956 + 6.01817i 1.63800 + 0.262905i
\(525\) 10.6910 + 15.5559i 0.466592 + 0.678913i
\(526\) 0.604374 + 32.4865i 0.0263520 + 1.41648i
\(527\) 22.1765 + 5.94219i 0.966026 + 0.258846i
\(528\) −3.67631 + 1.33897i −0.159991 + 0.0582714i
\(529\) 22.1860 5.94473i 0.964611 0.258467i
\(530\) −0.916246 3.18153i −0.0397992 0.138197i
\(531\) 14.8482 17.8522i 0.644358 0.774718i
\(532\) 0.786968 27.8534i 0.0341194 1.20760i
\(533\) −0.401935 + 0.198213i −0.0174098 + 0.00858554i
\(534\) 35.2816 + 5.86291i 1.52678 + 0.253713i
\(535\) 0.118005 + 0.896335i 0.00510179 + 0.0387519i
\(536\) −0.171603 + 17.7919i −0.00741212 + 0.768491i
\(537\) 6.68248 5.26791i 0.288370 0.227327i
\(538\) 1.33303 28.4334i 0.0574708 1.22585i
\(539\) 0.00482907 + 0.0242774i 0.000208003 + 0.00104570i
\(540\) −4.37768 8.63653i −0.188385 0.371657i
\(541\) 8.40766 + 12.5830i 0.361474 + 0.540983i 0.966978 0.254858i \(-0.0820288\pi\)
−0.605505 + 0.795842i \(0.707029\pi\)
\(542\) 24.0267 + 17.7361i 1.03203 + 0.761832i
\(543\) 9.09631 + 32.2546i 0.390360 + 1.38418i
\(544\) 0.650092 17.1486i 0.0278725 0.735241i
\(545\) 2.65823 1.53473i 0.113866 0.0657407i
\(546\) −0.895793 + 2.37254i −0.0383364 + 0.101535i
\(547\) −28.4207 + 1.86279i −1.21518 + 0.0796472i −0.659472 0.751729i \(-0.729220\pi\)
−0.555709 + 0.831377i \(0.687553\pi\)
\(548\) 16.3617 + 11.6141i 0.698936 + 0.496128i
\(549\) 21.4258 4.84762i 0.914432 0.206891i
\(550\) −1.51432 2.93196i −0.0645710 0.125019i
\(551\) 2.38338 18.1036i 0.101536 0.771239i
\(552\) 0.110205 0.859889i 0.00469062 0.0365993i
\(553\) −0.151907 1.15385i −0.00645976 0.0490667i
\(554\) −11.5925 16.6697i −0.492520 0.708227i
\(555\) 0.780588 + 3.67260i 0.0331341 + 0.155893i
\(556\) 43.9153 10.4472i 1.86242 0.443059i
\(557\) 0.394696 1.98427i 0.0167238 0.0840763i −0.971522 0.236949i \(-0.923853\pi\)
0.988246 + 0.152873i \(0.0488525\pi\)
\(558\) −21.6656 + 23.6973i −0.917178 + 1.00319i
\(559\) 1.46646 + 1.46646i 0.0620246 + 0.0620246i
\(560\) 9.11452 + 3.68006i 0.385159 + 0.155511i
\(561\) 1.51715 + 2.55016i 0.0640540 + 0.107668i
\(562\) 24.1208 0.448739i 1.01747 0.0189289i
\(563\) 0.505677 + 1.48968i 0.0213117 + 0.0627823i 0.957066 0.289872i \(-0.0936126\pi\)
−0.935754 + 0.352654i \(0.885279\pi\)
\(564\) −2.73530 + 18.5928i −0.115177 + 0.782897i
\(565\) −7.00534 14.2054i −0.294717 0.597626i
\(566\) 17.8869 + 15.1072i 0.751843 + 0.635001i
\(567\) 23.3398 4.32461i 0.980180 0.181617i
\(568\) 13.2267 14.7919i 0.554979 0.620654i
\(569\) −14.3071 1.88357i −0.599787 0.0789634i −0.175482 0.984483i \(-0.556148\pi\)
−0.424305 + 0.905519i \(0.639482\pi\)
\(570\) −12.0489 0.407049i −0.504672 0.0170494i
\(571\) 27.9862 + 31.9121i 1.17118 + 1.33548i 0.931116 + 0.364724i \(0.118837\pi\)
0.240069 + 0.970756i \(0.422830\pi\)
\(572\) 0.207248 0.391945i 0.00866546 0.0163880i
\(573\) −9.48411 26.7833i −0.396204 1.11889i
\(574\) −4.21078 + 0.634250i −0.175755 + 0.0264731i
\(575\) 0.731182 0.0304924
\(576\) 20.8665 + 11.8570i 0.869438 + 0.494042i
\(577\) 20.5588 0.855873 0.427936 0.903809i \(-0.359241\pi\)
0.427936 + 0.903809i \(0.359241\pi\)
\(578\) 10.9036 1.64235i 0.453528 0.0683128i
\(579\) −7.45711 1.38219i −0.309907 0.0574417i
\(580\) 5.69425 + 3.01093i 0.236441 + 0.125022i
\(581\) −19.4418 22.1691i −0.806582 0.919730i
\(582\) 13.8636 + 26.0024i 0.574665 + 1.07783i
\(583\) −1.40685 0.185216i −0.0582660 0.00767086i
\(584\) −25.7756 + 1.43991i −1.06660 + 0.0595838i
\(585\) 1.02434 + 0.393235i 0.0423511 + 0.0162583i
\(586\) 15.7076 + 13.2665i 0.648876 + 0.548036i
\(587\) −14.6897 29.7878i −0.606310 1.22948i −0.956208 0.292688i \(-0.905450\pi\)
0.349898 0.936788i \(-0.386216\pi\)
\(588\) 0.0942493 0.119045i 0.00388677 0.00490933i
\(589\) 12.8505 + 37.8563i 0.529495 + 1.55984i
\(590\) 10.1968 0.189700i 0.419796 0.00780982i
\(591\) 0.941854 1.68175i 0.0387427 0.0691781i
\(592\) −6.63934 6.52145i −0.272875 0.268030i
\(593\) −15.0105 15.0105i −0.616407 0.616407i 0.328201 0.944608i \(-0.393558\pi\)
−0.944608 + 0.328201i \(0.893558\pi\)
\(594\) −4.14295 + 0.239876i −0.169987 + 0.00984224i
\(595\) 1.45435 7.31151i 0.0596226 0.299743i
\(596\) 1.08195 + 4.54801i 0.0443182 + 0.186294i
\(597\) 13.4064 + 4.35617i 0.548686 + 0.178286i
\(598\) 0.0560882 + 0.0806529i 0.00229362 + 0.00329814i
\(599\) −0.651089 4.94551i −0.0266028 0.202068i 0.972982 0.230881i \(-0.0741607\pi\)
−0.999585 + 0.0288126i \(0.990827\pi\)
\(600\) −7.68208 + 18.7278i −0.313620 + 0.764558i
\(601\) −1.49471 + 11.3534i −0.0609704 + 0.463116i 0.933540 + 0.358474i \(0.116703\pi\)
−0.994510 + 0.104642i \(0.966630\pi\)
\(602\) 9.04287 + 17.5084i 0.368560 + 0.713589i
\(603\) −5.59677 + 18.0230i −0.227918 + 0.733953i
\(604\) −14.6348 + 20.6172i −0.595482 + 0.838904i
\(605\) −9.93040 + 0.650873i −0.403728 + 0.0264618i
\(606\) 18.8259 + 22.9883i 0.764748 + 0.933837i
\(607\) −33.5045 + 19.3438i −1.35991 + 0.785142i −0.989611 0.143771i \(-0.954077\pi\)
−0.370296 + 0.928914i \(0.620744\pi\)
\(608\) 25.4571 15.6485i 1.03242 0.634629i
\(609\) −11.0188 + 11.3109i −0.446506 + 0.458340i
\(610\) 7.76250 + 5.73016i 0.314294 + 0.232008i
\(611\) −1.18313 1.77068i −0.0478645 0.0716342i
\(612\) 5.88684 17.2237i 0.237961 0.696226i
\(613\) −1.20306 6.04819i −0.0485912 0.244284i 0.948854 0.315714i \(-0.102244\pi\)
−0.997446 + 0.0714295i \(0.977244\pi\)
\(614\) 0.328676 7.01064i 0.0132643 0.282927i
\(615\) 0.264345 + 1.82331i 0.0106594 + 0.0735229i
\(616\) 3.00748 2.95002i 0.121175 0.118860i
\(617\) 1.88174 + 14.2933i 0.0757562 + 0.575425i 0.986659 + 0.162803i \(0.0520536\pi\)
−0.910902 + 0.412622i \(0.864613\pi\)
\(618\) −10.2826 27.4070i −0.413625 1.10247i
\(619\) 15.4718 7.62985i 0.621865 0.306670i −0.103926 0.994585i \(-0.533141\pi\)
0.725791 + 0.687915i \(0.241474\pi\)
\(620\) −14.0969 0.398293i −0.566145 0.0159958i
\(621\) 0.374029 0.840001i 0.0150093 0.0337081i
\(622\) 13.3889 + 46.4910i 0.536845 + 1.86412i
\(623\) −37.1977 + 9.96710i −1.49030 + 0.399324i
\(624\) −2.65505 + 0.589218i −0.106287 + 0.0235876i
\(625\) −12.2984 3.29534i −0.491935 0.131814i
\(626\) 0.303120 + 16.2934i 0.0121151 + 0.651214i
\(627\) −2.22450 + 4.66361i −0.0888379 + 0.186247i
\(628\) −3.90356 + 24.3207i −0.155769 + 0.970502i
\(629\) −3.92129 + 5.86863i −0.156352 + 0.233998i
\(630\) 8.13815 + 6.51652i 0.324232 + 0.259625i
\(631\) 8.65303 20.8903i 0.344472 0.831629i −0.652780 0.757547i \(-0.726398\pi\)
0.997252 0.0740814i \(-0.0236024\pi\)
\(632\) 0.946246 0.813825i 0.0376396 0.0323722i
\(633\) 14.9839 37.5562i 0.595557 1.49272i
\(634\) 36.1859 7.90026i 1.43713 0.313759i
\(635\) 6.46200 + 7.36850i 0.256437 + 0.292410i
\(636\) 4.72549 + 7.30984i 0.187378 + 0.289854i
\(637\) 0.00112533 + 0.0171691i 4.45870e−5 + 0.000680266i
\(638\) 2.15855 1.72104i 0.0854578 0.0681366i
\(639\) 17.9455 10.9964i 0.709914 0.435012i
\(640\) 2.04936 + 10.3400i 0.0810082 + 0.408725i
\(641\) −18.4214 + 31.9069i −0.727603 + 1.26025i 0.230291 + 0.973122i \(0.426032\pi\)
−0.957894 + 0.287123i \(0.907301\pi\)
\(642\) −0.978663 2.16598i −0.0386247 0.0854842i
\(643\) 5.75898 + 2.84002i 0.227112 + 0.111999i 0.552285 0.833655i \(-0.313756\pi\)
−0.325173 + 0.945654i \(0.605423\pi\)
\(644\) 0.274963 + 0.892031i 0.0108351 + 0.0351509i
\(645\) 7.59661 3.87055i 0.299116 0.152403i
\(646\) −15.2571 16.7580i −0.600282 0.659336i
\(647\) −16.4880 39.8056i −0.648211 1.56492i −0.815339 0.578984i \(-0.803449\pi\)
0.167128 0.985935i \(-0.446551\pi\)
\(648\) 17.5853 + 18.4054i 0.690814 + 0.723032i
\(649\) 1.67271 4.03828i 0.0656597 0.158517i
\(650\) −0.777595 2.15799i −0.0304998 0.0846432i
\(651\) 10.6839 32.8802i 0.418734 1.28868i
\(652\) 4.17026 + 3.39130i 0.163320 + 0.132814i
\(653\) −3.44701 10.1546i −0.134892 0.397379i 0.858405 0.512973i \(-0.171456\pi\)
−0.993296 + 0.115595i \(0.963123\pi\)
\(654\) −5.52252 + 5.88399i −0.215947 + 0.230082i
\(655\) 4.57880 + 17.0883i 0.178909 + 0.667696i
\(656\) −3.04161 3.40625i −0.118755 0.132992i
\(657\) −26.6251 6.39280i −1.03874 0.249407i
\(658\) −5.59986 19.4447i −0.218305 0.758034i
\(659\) 17.7139 + 15.5347i 0.690035 + 0.605144i 0.930839 0.365429i \(-0.119078\pi\)
−0.240804 + 0.970574i \(0.577411\pi\)
\(660\) −1.26914 1.30824i −0.0494012 0.0509231i
\(661\) −0.260190 + 3.96973i −0.0101202 + 0.154404i 0.989808 + 0.142409i \(0.0454849\pi\)
−0.999928 + 0.0119951i \(0.996182\pi\)
\(662\) −20.1648 + 14.0232i −0.783728 + 0.545026i
\(663\) 0.814181 + 1.89512i 0.0316202 + 0.0736004i
\(664\) 8.47846 30.4637i 0.329028 1.18222i
\(665\) 11.9928 4.96756i 0.465059 0.192634i
\(666\) −4.75756 8.64882i −0.184352 0.335135i
\(667\) 0.119336 + 0.599941i 0.00462070 + 0.0232298i
\(668\) 25.3471 + 9.41060i 0.980709 + 0.364107i
\(669\) −24.7929 + 8.77930i −0.958550 + 0.339427i
\(670\) −7.59757 + 3.31390i −0.293520 + 0.128027i
\(671\) 3.58119 2.06760i 0.138250 0.0798188i
\(672\) −25.7365 2.32939i −0.992806 0.0898580i
\(673\) −3.14464 1.81556i −0.121217 0.0699846i 0.438166 0.898894i \(-0.355628\pi\)
−0.559382 + 0.828910i \(0.688962\pi\)
\(674\) 20.8326 + 2.34934i 0.802441 + 0.0904933i
\(675\) −13.5121 + 16.6849i −0.520082 + 0.642200i
\(676\) −14.8712 + 20.9503i −0.571970 + 0.805781i
\(677\) −33.8678 11.4966i −1.30165 0.441850i −0.417338 0.908751i \(-0.637037\pi\)
−0.884309 + 0.466902i \(0.845370\pi\)
\(678\) 28.4334 + 30.4217i 1.09198 + 1.16834i
\(679\) −25.1719 19.3151i −0.966010 0.741246i
\(680\) 7.41515 2.98800i 0.284358 0.114585i
\(681\) 6.36061 8.51767i 0.243739 0.326398i
\(682\) −2.57199 + 5.46967i −0.0984866 + 0.209444i
\(683\) −13.1170 8.76449i −0.501907 0.335364i 0.278708 0.960376i \(-0.410094\pi\)
−0.780615 + 0.625012i \(0.785094\pi\)
\(684\) 30.6319 8.13918i 1.17124 0.311209i
\(685\) −1.82356 + 9.16766i −0.0696746 + 0.350278i
\(686\) −6.32672 + 25.4998i −0.241555 + 0.973588i
\(687\) −0.530340 40.5502i −0.0202337 1.54709i
\(688\) −10.4020 + 18.3953i −0.396571 + 0.701314i
\(689\) −0.952744 0.255287i −0.0362966 0.00972566i
\(690\) 0.386594 0.116831i 0.0147174 0.00444767i
\(691\) 26.5814 30.3103i 1.01121 1.15306i 0.0230290 0.999735i \(-0.492669\pi\)
0.988176 0.153324i \(-0.0489977\pi\)
\(692\) 24.2190 + 10.8430i 0.920666 + 0.412189i
\(693\) 3.95448 2.08043i 0.150218 0.0790289i
\(694\) −7.99419 6.75183i −0.303455 0.256296i
\(695\) 12.8017 + 16.6836i 0.485598 + 0.632843i
\(696\) −16.6201 3.24667i −0.629983 0.123065i
\(697\) −2.10837 + 2.74768i −0.0798602 + 0.104076i
\(698\) −8.06819 36.9551i −0.305385 1.39877i
\(699\) 17.2086 8.76794i 0.650887 0.331634i
\(700\) −0.810678 21.7804i −0.0306407 0.823221i
\(701\) −22.0014 + 14.7008i −0.830980 + 0.555243i −0.896722 0.442594i \(-0.854058\pi\)
0.0657426 + 0.997837i \(0.479058\pi\)
\(702\) −2.87692 0.210576i −0.108582 0.00794766i
\(703\) −12.2902 −0.463535
\(704\) 4.41320 + 0.966688i 0.166329 + 0.0364334i
\(705\) −8.42614 + 2.37631i −0.317347 + 0.0894969i
\(706\) 1.36533 3.47779i 0.0513847 0.130888i
\(707\) −28.6939 14.1503i −1.07915 0.532176i
\(708\) −25.5171 + 8.23240i −0.958990 + 0.309392i
\(709\) −16.2841 + 47.9715i −0.611563 + 1.80161i −0.0138383 + 0.999904i \(0.504405\pi\)
−0.597724 + 0.801702i \(0.703928\pi\)
\(710\) 8.80718 + 2.80805i 0.330528 + 0.105384i
\(711\) 1.20935 0.538402i 0.0453542 0.0201917i
\(712\) −30.7857 27.5281i −1.15374 1.03166i
\(713\) −0.815279 1.06249i −0.0305324 0.0397906i
\(714\) 1.90061 + 19.5063i 0.0711287 + 0.730005i
\(715\) 0.206102 + 0.0135087i 0.00770779 + 0.000505195i
\(716\) −9.77385 + 1.00686i −0.365266 + 0.0376280i
\(717\) 18.1004 + 26.3370i 0.675973 + 0.983572i
\(718\) −1.03639 1.72036i −0.0386776 0.0642033i
\(719\) −5.69716 + 5.69716i −0.212468 + 0.212468i −0.805315 0.592847i \(-0.798004\pi\)
0.592847 + 0.805315i \(0.298004\pi\)
\(720\) −1.06932 + 11.1293i −0.0398511 + 0.414765i
\(721\) 22.2871 + 22.2871i 0.830014 + 0.830014i
\(722\) 3.03241 12.2221i 0.112855 0.454859i
\(723\) 22.2625 + 10.6190i 0.827951 + 0.394925i
\(724\) 11.0672 37.0808i 0.411310 1.37810i
\(725\) 0.934134 14.2521i 0.0346929 0.529311i
\(726\) 24.4959 9.19039i 0.909129 0.341087i
\(727\) −21.7655 + 16.7012i −0.807236 + 0.619414i −0.927710 0.373302i \(-0.878225\pi\)
0.120474 + 0.992717i \(0.461559\pi\)
\(728\) 2.34029 1.76017i 0.0867370 0.0652363i
\(729\) 12.2560 + 24.0581i 0.453926 + 0.891040i
\(730\) −5.51889 10.6854i −0.204263 0.395485i
\(731\) 15.1767 + 5.15179i 0.561330 + 0.190546i
\(732\) −23.8931 8.51694i −0.883116 0.314795i
\(733\) −4.48633 + 9.09738i −0.165706 + 0.336019i −0.963849 0.266449i \(-0.914150\pi\)
0.798142 + 0.602469i \(0.205816\pi\)
\(734\) −14.2230 32.6082i −0.524981 1.20359i
\(735\) 0.0685579 + 0.0174124i 0.00252879 + 0.000642265i
\(736\) −0.639040 + 0.770520i −0.0235553 + 0.0284018i
\(737\) 3.55252i 0.130859i
\(738\) −2.05194 4.38751i −0.0755328 0.161506i
\(739\) 14.3935 + 21.5413i 0.529472 + 0.792411i 0.995737 0.0922343i \(-0.0294009\pi\)
−0.466266 + 0.884645i \(0.654401\pi\)
\(740\) 1.50899 4.06440i 0.0554714 0.149410i
\(741\) −1.95616 + 3.01215i −0.0718614 + 0.110654i
\(742\) −7.88819 5.06106i −0.289585 0.185797i
\(743\) −36.8403 28.2686i −1.35154 1.03707i −0.994690 0.102912i \(-0.967184\pi\)
−0.356850 0.934162i \(-0.616149\pi\)
\(744\) 35.7793 9.71880i 1.31173 0.356309i
\(745\) −1.72781 + 1.32579i −0.0633019 + 0.0485733i
\(746\) 0.305148 + 3.62193i 0.0111723 + 0.132608i
\(747\) 17.8980 28.3650i 0.654852 1.03782i
\(748\) 0.0967702 3.42501i 0.00353827 0.125231i
\(749\) 1.92411 + 1.68740i 0.0703054 + 0.0616562i
\(750\) −20.8306 + 0.660125i −0.760626 + 0.0241043i
\(751\) 8.81887 32.9125i 0.321805 1.20099i −0.595679 0.803222i \(-0.703117\pi\)
0.917485 0.397771i \(-0.130216\pi\)
\(752\) 14.1612 16.4426i 0.516407 0.599599i
\(753\) −10.5049 + 18.7572i −0.382818 + 0.683551i
\(754\) 1.64374 0.990227i 0.0598613 0.0360619i
\(755\) −11.5521 2.29786i −0.420424 0.0836276i
\(756\) −25.4365 10.2102i −0.925118 0.371342i
\(757\) −5.15487 + 7.71480i −0.187357 + 0.280399i −0.913243 0.407416i \(-0.866430\pi\)
0.725886 + 0.687815i \(0.241430\pi\)
\(758\) 2.11987 + 5.88309i 0.0769973 + 0.213683i
\(759\) 0.0203468 0.171891i 0.000738542 0.00623926i
\(760\) 11.4996 + 7.84524i 0.417133 + 0.284577i
\(761\) −10.9833 + 14.3137i −0.398143 + 0.518869i −0.948807 0.315857i \(-0.897708\pi\)
0.550664 + 0.834727i \(0.314375\pi\)
\(762\) −21.8663 13.6291i −0.792133 0.493729i
\(763\) 2.79296 8.22778i 0.101112 0.297866i
\(764\) −7.30685 + 31.9844i −0.264353 + 1.15716i
\(765\) 8.44393 0.775682i 0.305291 0.0280448i
\(766\) −31.7291 + 25.2980i −1.14642 + 0.914054i
\(767\) 1.51916 2.63126i 0.0548536 0.0950093i
\(768\) −13.0214 24.4631i −0.469868 0.882737i
\(769\) 7.94861 + 13.7674i 0.286634 + 0.496465i 0.973004 0.230787i \(-0.0741302\pi\)
−0.686370 + 0.727253i \(0.740797\pi\)
\(770\) 1.82682 + 0.717182i 0.0658341 + 0.0258455i
\(771\) 29.9132 + 5.54445i 1.07730 + 0.199679i
\(772\) 6.41845 + 5.95780i 0.231005