Properties

Label 216.2.t.a.13.7
Level $216$
Weight $2$
Character 216.13
Analytic conductor $1.725$
Analytic rank $0$
Dimension $204$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.t (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 13.7
Character \(\chi\) \(=\) 216.13
Dual form 216.2.t.a.133.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23486 - 0.689282i) q^{2} +(1.71350 - 0.252809i) q^{3} +(1.04978 + 1.70234i) q^{4} +(2.05804 - 2.45268i) q^{5} +(-2.29020 - 0.868902i) q^{6} +(-4.54005 - 1.65244i) q^{7} +(-0.122943 - 2.82575i) q^{8} +(2.87218 - 0.866376i) q^{9} +O(q^{10})\) \(q+(-1.23486 - 0.689282i) q^{2} +(1.71350 - 0.252809i) q^{3} +(1.04978 + 1.70234i) q^{4} +(2.05804 - 2.45268i) q^{5} +(-2.29020 - 0.868902i) q^{6} +(-4.54005 - 1.65244i) q^{7} +(-0.122943 - 2.82575i) q^{8} +(2.87218 - 0.866376i) q^{9} +(-4.23199 + 1.61015i) q^{10} +(0.638845 + 0.761346i) q^{11} +(2.22917 + 2.65157i) q^{12} +(1.85386 + 0.326885i) q^{13} +(4.46735 + 5.16992i) q^{14} +(2.90640 - 4.72296i) q^{15} +(-1.79592 + 3.57417i) q^{16} +(-0.690426 + 1.19585i) q^{17} +(-4.14392 - 0.909883i) q^{18} +(-1.81438 + 1.04753i) q^{19} +(6.33579 + 0.928715i) q^{20} +(-8.19713 - 1.68370i) q^{21} +(-0.264105 - 1.38050i) q^{22} +(6.79507 - 2.47320i) q^{23} +(-0.925037 - 4.81085i) q^{24} +(-0.911858 - 5.17140i) q^{25} +(-2.06395 - 1.68149i) q^{26} +(4.70245 - 2.21065i) q^{27} +(-1.95303 - 9.46341i) q^{28} +(-1.51798 + 0.267662i) q^{29} +(-6.84447 + 3.82889i) q^{30} +(-7.70194 + 2.80328i) q^{31} +(4.68133 - 3.17571i) q^{32} +(1.28714 + 1.14306i) q^{33} +(1.67686 - 1.00082i) q^{34} +(-13.3965 + 7.73449i) q^{35} +(4.49002 + 3.97992i) q^{36} +(6.22039 + 3.59135i) q^{37} +(2.96255 - 0.0429408i) q^{38} +(3.25923 + 0.0914472i) q^{39} +(-7.18369 - 5.51398i) q^{40} +(-0.0260791 + 0.147902i) q^{41} +(8.96180 + 7.72928i) q^{42} +(7.04138 + 8.39160i) q^{43} +(-0.625423 + 1.88678i) q^{44} +(3.78612 - 8.82757i) q^{45} +(-10.0957 - 1.62965i) q^{46} +(-4.64968 - 1.69234i) q^{47} +(-2.17374 + 6.57836i) q^{48} +(12.5192 + 10.5048i) q^{49} +(-2.43854 + 7.01451i) q^{50} +(-0.880725 + 2.22364i) q^{51} +(1.38967 + 3.49905i) q^{52} -2.04785i q^{53} +(-7.33065 - 0.511467i) q^{54} +3.18211 q^{55} +(-4.11123 + 13.0322i) q^{56} +(-2.84411 + 2.25363i) q^{57} +(2.05900 + 0.715794i) q^{58} +(-0.104687 + 0.124761i) q^{59} +(11.0912 - 0.0103864i) q^{60} +(-2.77834 + 7.63343i) q^{61} +(11.4431 + 1.84714i) q^{62} +(-14.4715 - 0.812718i) q^{63} +(-7.96977 + 0.694812i) q^{64} +(4.61706 - 3.87417i) q^{65} +(-0.801547 - 2.29873i) q^{66} +(-2.85014 - 0.502556i) q^{67} +(-2.76055 + 0.0800424i) q^{68} +(11.0181 - 5.95569i) q^{69} +(21.8741 - 0.317055i) q^{70} +(-6.18008 + 10.7042i) q^{71} +(-2.80128 - 8.00955i) q^{72} +(-2.83664 - 4.91320i) q^{73} +(-5.20589 - 8.72243i) q^{74} +(-2.86984 - 8.63068i) q^{75} +(-3.68795 - 1.98901i) q^{76} +(-1.64231 - 4.51220i) q^{77} +(-3.96167 - 2.35945i) q^{78} +(0.784918 + 4.45149i) q^{79} +(5.07019 + 11.7606i) q^{80} +(7.49879 - 4.97677i) q^{81} +(0.134150 - 0.164663i) q^{82} +(-0.477539 + 0.0842031i) q^{83} +(-5.73896 - 15.7218i) q^{84} +(1.51212 + 4.15451i) q^{85} +(-2.91098 - 15.2160i) q^{86} +(-2.53340 + 0.842398i) q^{87} +(2.07283 - 1.89882i) q^{88} +(1.01658 + 1.76076i) q^{89} +(-10.7600 + 8.29114i) q^{90} +(-7.87644 - 4.54747i) q^{91} +(11.3436 + 8.97120i) q^{92} +(-12.4886 + 6.75053i) q^{93} +(4.57522 + 5.29476i) q^{94} +(-1.16481 + 6.60595i) q^{95} +(7.21862 - 6.62506i) q^{96} +(-6.24806 + 5.24275i) q^{97} +(-8.21869 - 21.6013i) q^{98} +(2.49449 + 1.63324i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} - 3q^{10} + 3q^{12} - 21q^{14} - 12q^{15} - 6q^{16} - 6q^{17} - 27q^{18} + 15q^{20} - 6q^{22} - 12q^{23} - 12q^{25} - 30q^{26} - 12q^{28} - 39q^{30} - 12q^{31} - 36q^{32} - 36q^{36} - 42q^{38} - 12q^{39} - 21q^{40} - 24q^{41} - 66q^{42} + 21q^{44} - 3q^{46} - 12q^{47} + 51q^{48} - 12q^{49} - 99q^{50} - 33q^{52} - 90q^{54} - 24q^{55} + 99q^{56} - 30q^{57} + 21q^{58} + 102q^{60} - 36q^{62} - 72q^{63} - 3q^{64} - 12q^{65} - 9q^{66} + 75q^{68} + 9q^{70} - 90q^{71} + 60q^{72} - 6q^{73} + 9q^{74} - 18q^{76} + 12q^{78} - 12q^{79} + 78q^{80} - 12q^{81} - 12q^{82} + 102q^{84} - 30q^{86} - 48q^{87} - 30q^{88} - 6q^{89} + 6q^{90} + 111q^{92} - 33q^{94} - 42q^{95} + 126q^{96} - 12q^{97} + 54q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23486 0.689282i −0.873181 0.487396i
\(3\) 1.71350 0.252809i 0.989291 0.145959i
\(4\) 1.04978 + 1.70234i 0.524890 + 0.851170i
\(5\) 2.05804 2.45268i 0.920385 1.09687i −0.0746367 0.997211i \(-0.523780\pi\)
0.995021 0.0996611i \(-0.0317759\pi\)
\(6\) −2.29020 0.868902i −0.934970 0.354728i
\(7\) −4.54005 1.65244i −1.71598 0.624565i −0.718499 0.695528i \(-0.755170\pi\)
−0.997479 + 0.0709635i \(0.977393\pi\)
\(8\) −0.122943 2.82575i −0.0434668 0.999055i
\(9\) 2.87218 0.866376i 0.957392 0.288792i
\(10\) −4.23199 + 1.61015i −1.33827 + 0.509176i
\(11\) 0.638845 + 0.761346i 0.192619 + 0.229554i 0.853707 0.520754i \(-0.174349\pi\)
−0.661088 + 0.750309i \(0.729905\pi\)
\(12\) 2.22917 + 2.65157i 0.643505 + 0.765442i
\(13\) 1.85386 + 0.326885i 0.514167 + 0.0906616i 0.424711 0.905329i \(-0.360376\pi\)
0.0894567 + 0.995991i \(0.471487\pi\)
\(14\) 4.46735 + 5.16992i 1.19395 + 1.38172i
\(15\) 2.90640 4.72296i 0.750430 1.21946i
\(16\) −1.79592 + 3.57417i −0.448981 + 0.893541i
\(17\) −0.690426 + 1.19585i −0.167453 + 0.290037i −0.937524 0.347921i \(-0.886888\pi\)
0.770071 + 0.637959i \(0.220221\pi\)
\(18\) −4.14392 0.909883i −0.976732 0.214462i
\(19\) −1.81438 + 1.04753i −0.416246 + 0.240320i −0.693470 0.720485i \(-0.743919\pi\)
0.277224 + 0.960805i \(0.410586\pi\)
\(20\) 6.33579 + 0.928715i 1.41673 + 0.207667i
\(21\) −8.19713 1.68370i −1.78876 0.367414i
\(22\) −0.264105 1.38050i −0.0563073 0.294324i
\(23\) 6.79507 2.47320i 1.41687 0.515698i 0.483732 0.875216i \(-0.339281\pi\)
0.933138 + 0.359518i \(0.117059\pi\)
\(24\) −0.925037 4.81085i −0.188822 0.982011i
\(25\) −0.911858 5.17140i −0.182372 1.03428i
\(26\) −2.06395 1.68149i −0.404773 0.329767i
\(27\) 4.70245 2.21065i 0.904987 0.425439i
\(28\) −1.95303 9.46341i −0.369089 1.78842i
\(29\) −1.51798 + 0.267662i −0.281883 + 0.0497035i −0.312802 0.949818i \(-0.601268\pi\)
0.0309193 + 0.999522i \(0.490156\pi\)
\(30\) −6.84447 + 3.82889i −1.24962 + 0.699056i
\(31\) −7.70194 + 2.80328i −1.38331 + 0.503483i −0.923180 0.384369i \(-0.874419\pi\)
−0.460129 + 0.887852i \(0.652197\pi\)
\(32\) 4.68133 3.17571i 0.827550 0.561392i
\(33\) 1.28714 + 1.14306i 0.224062 + 0.198982i
\(34\) 1.67686 1.00082i 0.287580 0.171639i
\(35\) −13.3965 + 7.73449i −2.26443 + 1.30737i
\(36\) 4.49002 + 3.97992i 0.748336 + 0.663319i
\(37\) 6.22039 + 3.59135i 1.02263 + 0.590414i 0.914864 0.403763i \(-0.132298\pi\)
0.107763 + 0.994177i \(0.465631\pi\)
\(38\) 2.96255 0.0429408i 0.480589 0.00696592i
\(39\) 3.25923 + 0.0914472i 0.521894 + 0.0146433i
\(40\) −7.18369 5.51398i −1.13584 0.871837i
\(41\) −0.0260791 + 0.147902i −0.00407287 + 0.0230984i −0.986776 0.162087i \(-0.948177\pi\)
0.982704 + 0.185185i \(0.0592886\pi\)
\(42\) 8.96180 + 7.72928i 1.38284 + 1.19265i
\(43\) 7.04138 + 8.39160i 1.07380 + 1.27971i 0.958104 + 0.286422i \(0.0924659\pi\)
0.115697 + 0.993285i \(0.463090\pi\)
\(44\) −0.625423 + 1.88678i −0.0942861 + 0.284442i
\(45\) 3.78612 8.82757i 0.564401 1.31594i
\(46\) −10.0957 1.62965i −1.48853 0.240279i
\(47\) −4.64968 1.69234i −0.678225 0.246854i −0.0201400 0.999797i \(-0.506411\pi\)
−0.658085 + 0.752943i \(0.728633\pi\)
\(48\) −2.17374 + 6.57836i −0.313752 + 0.949505i
\(49\) 12.5192 + 10.5048i 1.78845 + 1.50069i
\(50\) −2.43854 + 7.01451i −0.344861 + 0.992001i
\(51\) −0.880725 + 2.22364i −0.123326 + 0.311372i
\(52\) 1.38967 + 3.49905i 0.192713 + 0.485231i
\(53\) 2.04785i 0.281293i −0.990060 0.140647i \(-0.955082\pi\)
0.990060 0.140647i \(-0.0449181\pi\)
\(54\) −7.33065 0.511467i −0.997575 0.0696019i
\(55\) 3.18211 0.429075
\(56\) −4.11123 + 13.0322i −0.549386 + 1.74150i
\(57\) −2.84411 + 2.25363i −0.376712 + 0.298501i
\(58\) 2.05900 + 0.715794i 0.270360 + 0.0939883i
\(59\) −0.104687 + 0.124761i −0.0136291 + 0.0162425i −0.772816 0.634630i \(-0.781152\pi\)
0.759187 + 0.650873i \(0.225597\pi\)
\(60\) 11.0912 0.0103864i 1.43186 0.00134087i
\(61\) −2.77834 + 7.63343i −0.355730 + 0.977360i 0.624764 + 0.780813i \(0.285195\pi\)
−0.980494 + 0.196547i \(0.937027\pi\)
\(62\) 11.4431 + 1.84714i 1.45327 + 0.234587i
\(63\) −14.4715 0.812718i −1.82323 0.102393i
\(64\) −7.96977 + 0.694812i −0.996221 + 0.0868515i
\(65\) 4.61706 3.87417i 0.572676 0.480532i
\(66\) −0.801547 2.29873i −0.0986636 0.282954i
\(67\) −2.85014 0.502556i −0.348199 0.0613970i −0.00318663 0.999995i \(-0.501014\pi\)
−0.345013 + 0.938598i \(0.612125\pi\)
\(68\) −2.76055 + 0.0800424i −0.334765 + 0.00970657i
\(69\) 11.0181 5.95569i 1.32643 0.716981i
\(70\) 21.8741 0.317055i 2.61446 0.0378954i
\(71\) −6.18008 + 10.7042i −0.733440 + 1.27036i 0.221964 + 0.975055i \(0.428753\pi\)
−0.955404 + 0.295301i \(0.904580\pi\)
\(72\) −2.80128 8.00955i −0.330134 0.943934i
\(73\) −2.83664 4.91320i −0.332003 0.575047i 0.650901 0.759162i \(-0.274391\pi\)
−0.982905 + 0.184116i \(0.941058\pi\)
\(74\) −5.20589 8.72243i −0.605173 1.01396i
\(75\) −2.86984 8.63068i −0.331381 0.996585i
\(76\) −3.68795 1.98901i −0.423037 0.228155i
\(77\) −1.64231 4.51220i −0.187158 0.514213i
\(78\) −3.96167 2.35945i −0.448571 0.267155i
\(79\) 0.784918 + 4.45149i 0.0883102 + 0.500832i 0.996593 + 0.0824755i \(0.0262826\pi\)
−0.908283 + 0.418357i \(0.862606\pi\)
\(80\) 5.07019 + 11.7606i 0.566865 + 1.31488i
\(81\) 7.49879 4.97677i 0.833199 0.552974i
\(82\) 0.134150 0.164663i 0.0148144 0.0181840i
\(83\) −0.477539 + 0.0842031i −0.0524167 + 0.00924249i −0.199795 0.979838i \(-0.564028\pi\)
0.147378 + 0.989080i \(0.452917\pi\)
\(84\) −5.73896 15.7218i −0.626171 1.71539i
\(85\) 1.51212 + 4.15451i 0.164012 + 0.450620i
\(86\) −2.91098 15.2160i −0.313899 1.64078i
\(87\) −2.53340 + 0.842398i −0.271609 + 0.0903145i
\(88\) 2.07283 1.89882i 0.220965 0.202415i
\(89\) 1.01658 + 1.76076i 0.107757 + 0.186640i 0.914861 0.403769i \(-0.132300\pi\)
−0.807104 + 0.590409i \(0.798967\pi\)
\(90\) −10.7600 + 8.29114i −1.13421 + 0.873963i
\(91\) −7.87644 4.54747i −0.825676 0.476704i
\(92\) 11.3436 + 8.97120i 1.18265 + 0.935312i
\(93\) −12.4886 + 6.75053i −1.29501 + 0.699998i
\(94\) 4.57522 + 5.29476i 0.471898 + 0.546113i
\(95\) −1.16481 + 6.60595i −0.119507 + 0.677756i
\(96\) 7.21862 6.62506i 0.736748 0.676168i
\(97\) −6.24806 + 5.24275i −0.634395 + 0.532320i −0.902291 0.431127i \(-0.858116\pi\)
0.267897 + 0.963448i \(0.413671\pi\)
\(98\) −8.21869 21.6013i −0.830213 2.18206i
\(99\) 2.49449 + 1.63324i 0.250705 + 0.164147i
\(100\) 7.84624 6.98113i 0.784624 0.698113i
\(101\) −0.681498 + 1.87240i −0.0678116 + 0.186311i −0.968970 0.247180i \(-0.920496\pi\)
0.901158 + 0.433491i \(0.142718\pi\)
\(102\) 2.62029 2.13883i 0.259448 0.211776i
\(103\) 3.13576 + 2.63121i 0.308975 + 0.259261i 0.784068 0.620675i \(-0.213141\pi\)
−0.475093 + 0.879936i \(0.657586\pi\)
\(104\) 0.695778 5.27873i 0.0682267 0.517622i
\(105\) −20.9996 + 16.6398i −2.04935 + 1.62388i
\(106\) −1.41154 + 2.52881i −0.137101 + 0.245620i
\(107\) 16.0097i 1.54772i −0.633357 0.773860i \(-0.718323\pi\)
0.633357 0.773860i \(-0.281677\pi\)
\(108\) 8.69981 + 5.68448i 0.837140 + 0.546989i
\(109\) 1.87880i 0.179957i −0.995944 0.0899783i \(-0.971320\pi\)
0.995944 0.0899783i \(-0.0286798\pi\)
\(110\) −3.92947 2.19337i −0.374660 0.209130i
\(111\) 11.5666 + 4.58121i 1.09785 + 0.434829i
\(112\) 14.0597 13.2592i 1.32852 1.25288i
\(113\) −9.62723 8.07821i −0.905654 0.759934i 0.0656335 0.997844i \(-0.479093\pi\)
−0.971287 + 0.237910i \(0.923538\pi\)
\(114\) 5.06548 0.822538i 0.474426 0.0770377i
\(115\) 7.91857 21.7561i 0.738410 2.02877i
\(116\) −2.04920 2.30314i −0.190263 0.213841i
\(117\) 5.60781 0.667265i 0.518442 0.0616887i
\(118\) 0.215270 0.0819041i 0.0198172 0.00753989i
\(119\) 5.11065 4.28834i 0.468493 0.393112i
\(120\) −13.7032 7.63212i −1.25093 0.696714i
\(121\) 1.73861 9.86012i 0.158055 0.896375i
\(122\) 8.69246 7.51119i 0.786978 0.680031i
\(123\) −0.00729571 + 0.260023i −0.000657832 + 0.0234455i
\(124\) −12.8575 10.1685i −1.15463 0.913158i
\(125\) −0.696470 0.402107i −0.0622942 0.0359656i
\(126\) 17.3101 + 10.9785i 1.54211 + 0.978044i
\(127\) −5.12850 8.88281i −0.455080 0.788222i 0.543612 0.839336i \(-0.317056\pi\)
−0.998693 + 0.0511140i \(0.983723\pi\)
\(128\) 10.3205 + 4.63542i 0.912213 + 0.409717i
\(129\) 14.1869 + 12.5989i 1.24909 + 1.10927i
\(130\) −8.37184 + 1.60162i −0.734259 + 0.140471i
\(131\) 5.52701 + 15.1853i 0.482897 + 1.32675i 0.906998 + 0.421134i \(0.138368\pi\)
−0.424101 + 0.905615i \(0.639410\pi\)
\(132\) −0.594670 + 3.39111i −0.0517594 + 0.295158i
\(133\) 9.96834 1.75769i 0.864365 0.152411i
\(134\) 3.17313 + 2.58514i 0.274117 + 0.223322i
\(135\) 4.25584 16.0832i 0.366284 1.38422i
\(136\) 3.46407 + 1.80395i 0.297042 + 0.154688i
\(137\) −1.20634 6.84148i −0.103064 0.584507i −0.991976 0.126428i \(-0.959649\pi\)
0.888911 0.458079i \(-0.151462\pi\)
\(138\) −17.7110 0.240124i −1.50766 0.0204407i
\(139\) 0.774820 + 2.12880i 0.0657194 + 0.180563i 0.968205 0.250157i \(-0.0804821\pi\)
−0.902486 + 0.430719i \(0.858260\pi\)
\(140\) −27.2301 14.6859i −2.30137 1.24119i
\(141\) −8.39507 1.72436i −0.706993 0.145217i
\(142\) 15.0098 8.95843i 1.25959 0.751775i
\(143\) 0.935455 + 1.62026i 0.0782267 + 0.135493i
\(144\) −2.06164 + 11.8216i −0.171803 + 0.985131i
\(145\) −2.46759 + 4.27399i −0.204922 + 0.354935i
\(146\) 0.116281 + 8.02238i 0.00962345 + 0.663937i
\(147\) 24.1073 + 14.8351i 1.98834 + 1.22358i
\(148\) 0.416352 + 14.3594i 0.0342239 + 1.18033i
\(149\) −4.50367 0.794119i −0.368955 0.0650568i −0.0139034 0.999903i \(-0.504426\pi\)
−0.355052 + 0.934847i \(0.615537\pi\)
\(150\) −2.40511 + 12.6359i −0.196376 + 1.03171i
\(151\) 8.18905 6.87143i 0.666416 0.559189i −0.245587 0.969375i \(-0.578981\pi\)
0.912002 + 0.410186i \(0.134536\pi\)
\(152\) 3.18313 + 4.99819i 0.258186 + 0.405407i
\(153\) −0.946968 + 4.03287i −0.0765578 + 0.326038i
\(154\) −1.08215 + 6.70397i −0.0872025 + 0.540222i
\(155\) −8.97538 + 24.6596i −0.720920 + 1.98071i
\(156\) 3.26580 + 5.64431i 0.261473 + 0.451907i
\(157\) −15.1579 + 18.0645i −1.20973 + 1.44170i −0.345642 + 0.938366i \(0.612339\pi\)
−0.864090 + 0.503337i \(0.832106\pi\)
\(158\) 2.09907 6.03802i 0.166993 0.480359i
\(159\) −0.517713 3.50899i −0.0410573 0.278281i
\(160\) 1.84538 18.0176i 0.145890 1.42441i
\(161\) −34.9368 −2.75340
\(162\) −12.6904 + 0.976850i −0.997050 + 0.0767486i
\(163\) 14.1348i 1.10712i −0.832809 0.553560i \(-0.813269\pi\)
0.832809 0.553560i \(-0.186731\pi\)
\(164\) −0.279157 + 0.110869i −0.0217985 + 0.00865741i
\(165\) 5.45255 0.804464i 0.424480 0.0626274i
\(166\) 0.647736 + 0.225180i 0.0502741 + 0.0174774i
\(167\) 10.7822 + 9.04730i 0.834348 + 0.700101i 0.956285 0.292437i \(-0.0944661\pi\)
−0.121937 + 0.992538i \(0.538911\pi\)
\(168\) −3.74994 + 23.3701i −0.289315 + 1.80304i
\(169\) −8.88607 3.23427i −0.683544 0.248790i
\(170\) 0.996370 6.17254i 0.0764181 0.473412i
\(171\) −4.30365 + 4.58062i −0.329108 + 0.350289i
\(172\) −6.89345 + 20.7962i −0.525620 + 1.58569i
\(173\) −5.51213 6.56911i −0.419080 0.499440i 0.514659 0.857395i \(-0.327919\pi\)
−0.933739 + 0.357955i \(0.883474\pi\)
\(174\) 3.70906 + 0.705982i 0.281183 + 0.0535203i
\(175\) −4.40557 + 24.9852i −0.333030 + 1.88871i
\(176\) −3.86849 + 0.916018i −0.291599 + 0.0690475i
\(177\) −0.147841 + 0.240244i −0.0111124 + 0.0180579i
\(178\) −0.0416719 2.87501i −0.00312344 0.215491i
\(179\) −4.64521 2.68191i −0.347199 0.200455i 0.316252 0.948675i \(-0.397576\pi\)
−0.663451 + 0.748220i \(0.730909\pi\)
\(180\) 19.0021 2.82174i 1.41633 0.210320i
\(181\) 7.45952 4.30676i 0.554462 0.320119i −0.196458 0.980512i \(-0.562944\pi\)
0.750920 + 0.660394i \(0.229611\pi\)
\(182\) 6.59185 + 11.0446i 0.488621 + 0.818680i
\(183\) −2.83090 + 13.7823i −0.209266 + 1.01882i
\(184\) −7.82407 18.8971i −0.576798 1.39312i
\(185\) 21.6103 7.86549i 1.58882 0.578283i
\(186\) 20.0747 + 0.272171i 1.47195 + 0.0199566i
\(187\) −1.35153 + 0.238312i −0.0988339 + 0.0174271i
\(188\) −2.00019 9.69193i −0.145879 0.706856i
\(189\) −25.0023 + 2.26591i −1.81865 + 0.164821i
\(190\) 5.99174 7.35457i 0.434687 0.533556i
\(191\) −3.29778 18.7027i −0.238619 1.35328i −0.834856 0.550469i \(-0.814449\pi\)
0.596237 0.802809i \(-0.296662\pi\)
\(192\) −13.4806 + 3.20539i −0.972876 + 0.231329i
\(193\) 3.49795 1.27315i 0.251788 0.0916434i −0.213043 0.977043i \(-0.568337\pi\)
0.464831 + 0.885399i \(0.346115\pi\)
\(194\) 11.3292 2.16740i 0.813392 0.155610i
\(195\) 6.93192 7.80564i 0.496405 0.558973i
\(196\) −4.74043 + 32.3397i −0.338602 + 2.30998i
\(197\) 9.72565 5.61511i 0.692924 0.400060i −0.111783 0.993733i \(-0.535656\pi\)
0.804706 + 0.593673i \(0.202323\pi\)
\(198\) −1.95459 3.73623i −0.138907 0.265523i
\(199\) 2.89877 5.02081i 0.205488 0.355916i −0.744800 0.667288i \(-0.767455\pi\)
0.950288 + 0.311372i \(0.100789\pi\)
\(200\) −14.5010 + 3.21247i −1.02538 + 0.227156i
\(201\) −5.01076 0.140592i −0.353432 0.00991657i
\(202\) 2.13217 1.84242i 0.150019 0.129632i
\(203\) 7.33402 + 1.29319i 0.514747 + 0.0907638i
\(204\) −4.70996 + 0.835042i −0.329763 + 0.0584646i
\(205\) 0.309084 + 0.368352i 0.0215874 + 0.0257268i
\(206\) −2.05859 5.41061i −0.143428 0.376975i
\(207\) 17.3739 12.9906i 1.20757 0.902906i
\(208\) −4.49773 + 6.03893i −0.311861 + 0.418724i
\(209\) −1.95664 0.712158i −0.135343 0.0492610i
\(210\) 37.4012 6.07325i 2.58093 0.419094i
\(211\) 0.157189 0.187331i 0.0108213 0.0128964i −0.760607 0.649213i \(-0.775098\pi\)
0.771428 + 0.636317i \(0.219543\pi\)
\(212\) 3.48613 2.14979i 0.239428 0.147648i
\(213\) −7.88346 + 19.9041i −0.540166 + 1.36380i
\(214\) −11.0352 + 19.7699i −0.754353 + 1.35144i
\(215\) 35.0734 2.39198
\(216\) −6.82488 13.0162i −0.464374 0.885639i
\(217\) 39.5994 2.68818
\(218\) −1.29502 + 2.32006i −0.0877101 + 0.157135i
\(219\) −6.10268 7.70165i −0.412381 0.520429i
\(220\) 3.34051 + 5.41703i 0.225217 + 0.365216i
\(221\) −1.67086 + 1.99125i −0.112394 + 0.133946i
\(222\) −11.1254 13.6298i −0.746689 0.914773i
\(223\) −4.29149 1.56197i −0.287379 0.104598i 0.194308 0.980941i \(-0.437754\pi\)
−0.481688 + 0.876343i \(0.659976\pi\)
\(224\) −26.5012 + 6.68225i −1.77068 + 0.446477i
\(225\) −7.09939 14.0632i −0.473293 0.937544i
\(226\) 6.32016 + 16.6114i 0.420411 + 1.10497i
\(227\) −12.0018 14.3032i −0.796589 0.949338i 0.202965 0.979186i \(-0.434942\pi\)
−0.999554 + 0.0298479i \(0.990498\pi\)
\(228\) −6.82214 2.47583i −0.451808 0.163966i
\(229\) −4.88193 0.860816i −0.322607 0.0568844i 0.00999944 0.999950i \(-0.496817\pi\)
−0.332607 + 0.943066i \(0.607928\pi\)
\(230\) −24.7744 + 21.4077i −1.63358 + 1.41158i
\(231\) −3.95482 7.31648i −0.260208 0.481389i
\(232\) 0.942971 + 4.25654i 0.0619091 + 0.279456i
\(233\) −3.10686 + 5.38123i −0.203537 + 0.352536i −0.949666 0.313265i \(-0.898577\pi\)
0.746129 + 0.665802i \(0.231910\pi\)
\(234\) −7.38482 3.04138i −0.482761 0.198821i
\(235\) −13.7200 + 7.92126i −0.894995 + 0.516726i
\(236\) −0.322284 0.0472412i −0.0209789 0.00307514i
\(237\) 2.47033 + 7.42921i 0.160465 + 0.482579i
\(238\) −9.26684 + 1.77284i −0.600680 + 0.114916i
\(239\) 0.473540 0.172355i 0.0306308 0.0111487i −0.326659 0.945142i \(-0.605923\pi\)
0.357290 + 0.933993i \(0.383701\pi\)
\(240\) 11.6610 + 18.8700i 0.752712 + 1.21806i
\(241\) −4.22505 23.9614i −0.272159 1.54349i −0.747843 0.663875i \(-0.768910\pi\)
0.475684 0.879616i \(-0.342201\pi\)
\(242\) −8.94335 + 10.9775i −0.574900 + 0.705662i
\(243\) 11.5910 10.4235i 0.743564 0.668665i
\(244\) −15.9113 + 3.28374i −1.01862 + 0.210220i
\(245\) 51.5300 9.08613i 3.29213 0.580491i
\(246\) 0.188238 0.316064i 0.0120016 0.0201515i
\(247\) −3.70602 + 1.34888i −0.235808 + 0.0858271i
\(248\) 8.86826 + 21.4191i 0.563135 + 1.36012i
\(249\) −0.796977 + 0.265008i −0.0505064 + 0.0167942i
\(250\) 0.582881 + 0.976612i 0.0368646 + 0.0617664i
\(251\) 22.7502 13.1348i 1.43598 0.829062i 0.438410 0.898775i \(-0.355542\pi\)
0.997567 + 0.0697132i \(0.0222084\pi\)
\(252\) −13.8083 25.4885i −0.869843 1.60563i
\(253\) 6.22396 + 3.59340i 0.391297 + 0.225915i
\(254\) 0.210229 + 14.5041i 0.0131910 + 0.910065i
\(255\) 3.64131 + 6.73649i 0.228028 + 0.421855i
\(256\) −9.54931 12.8379i −0.596832 0.802366i
\(257\) 4.10470 23.2789i 0.256044 1.45210i −0.537334 0.843369i \(-0.680569\pi\)
0.793379 0.608729i \(-0.208320\pi\)
\(258\) −8.83469 25.3367i −0.550024 1.57739i
\(259\) −22.3064 26.5837i −1.38605 1.65183i
\(260\) 11.4421 + 3.79278i 0.709607 + 0.235218i
\(261\) −4.12802 + 2.08392i −0.255518 + 0.128991i
\(262\) 3.64188 22.5615i 0.224996 1.39385i
\(263\) −17.8317 6.49021i −1.09955 0.400204i −0.272400 0.962184i \(-0.587817\pi\)
−0.827151 + 0.561980i \(0.810040\pi\)
\(264\) 3.07177 3.77766i 0.189054 0.232499i
\(265\) −5.02271 4.21455i −0.308543 0.258898i
\(266\) −13.5211 4.70050i −0.829031 0.288206i
\(267\) 2.18704 + 2.76007i 0.133845 + 0.168913i
\(268\) −2.13649 5.37947i −0.130507 0.328604i
\(269\) 27.2792i 1.66324i 0.555344 + 0.831621i \(0.312587\pi\)
−0.555344 + 0.831621i \(0.687413\pi\)
\(270\) −16.3413 + 16.9271i −0.994497 + 1.03015i
\(271\) 13.0428 0.792292 0.396146 0.918187i \(-0.370347\pi\)
0.396146 + 0.918187i \(0.370347\pi\)
\(272\) −3.03422 4.61536i −0.183977 0.279847i
\(273\) −14.6459 5.80086i −0.886413 0.351084i
\(274\) −3.22605 + 9.27980i −0.194893 + 0.560613i
\(275\) 3.35469 3.99796i 0.202295 0.241086i
\(276\) 21.7052 + 12.5044i 1.30650 + 0.752678i
\(277\) −6.21064 + 17.0636i −0.373161 + 1.02525i 0.600970 + 0.799271i \(0.294781\pi\)
−0.974132 + 0.225981i \(0.927441\pi\)
\(278\) 0.510547 3.16285i 0.0306206 0.189695i
\(279\) −19.6926 + 14.7243i −1.17897 + 0.881519i
\(280\) 23.5028 + 36.9044i 1.40456 + 2.20546i
\(281\) −14.0423 + 11.7829i −0.837696 + 0.702910i −0.957044 0.289942i \(-0.906364\pi\)
0.119348 + 0.992852i \(0.461919\pi\)
\(282\) 9.17821 + 7.91592i 0.546554 + 0.471386i
\(283\) −2.81328 0.496058i −0.167232 0.0294876i 0.0894049 0.995995i \(-0.471503\pi\)
−0.256637 + 0.966508i \(0.582615\pi\)
\(284\) −24.7099 + 0.716468i −1.46626 + 0.0425146i
\(285\) −0.325858 + 11.6138i −0.0193022 + 0.687941i
\(286\) −0.0383466 2.64559i −0.00226748 0.156437i
\(287\) 0.362800 0.628387i 0.0214154 0.0370925i
\(288\) 10.6942 13.1770i 0.630165 0.776462i
\(289\) 7.54662 + 13.0711i 0.443919 + 0.768890i
\(290\) 5.99312 3.57693i 0.351928 0.210045i
\(291\) −9.38065 + 10.5630i −0.549904 + 0.619215i
\(292\) 5.38609 9.98670i 0.315197 0.584428i
\(293\) 3.33183 + 9.15412i 0.194648 + 0.534790i 0.998169 0.0604860i \(-0.0192651\pi\)
−0.803522 + 0.595276i \(0.797043\pi\)
\(294\) −19.5437 34.9361i −1.13981 2.03751i
\(295\) 0.0905487 + 0.513527i 0.00527195 + 0.0298987i
\(296\) 9.38351 18.0188i 0.545405 1.04732i
\(297\) 4.68720 + 2.16793i 0.271979 + 0.125796i
\(298\) 5.01406 + 4.08493i 0.290456 + 0.236634i
\(299\) 13.4055 2.36376i 0.775262 0.136700i
\(300\) 11.6797 13.9458i 0.674325 0.805159i
\(301\) −18.1016 49.7337i −1.04336 2.86661i
\(302\) −14.8487 + 2.84072i −0.854448 + 0.163465i
\(303\) −0.694389 + 3.38065i −0.0398916 + 0.194213i
\(304\) −0.485565 8.36617i −0.0278490 0.479832i
\(305\) 13.0044 + 22.5243i 0.744630 + 1.28974i
\(306\) 3.94916 4.32732i 0.225759 0.247376i
\(307\) 19.9588 + 11.5232i 1.13911 + 0.657664i 0.946210 0.323554i \(-0.104878\pi\)
0.192898 + 0.981219i \(0.438211\pi\)
\(308\) 5.95724 7.53259i 0.339445 0.429209i
\(309\) 6.03831 + 3.71584i 0.343508 + 0.211387i
\(310\) 28.0808 24.2647i 1.59488 1.37815i
\(311\) −4.32744 + 24.5421i −0.245387 + 1.39166i 0.574207 + 0.818710i \(0.305311\pi\)
−0.819593 + 0.572946i \(0.805800\pi\)
\(312\) −0.142291 9.22101i −0.00805566 0.522037i
\(313\) −14.6304 + 12.2764i −0.826960 + 0.693902i −0.954591 0.297920i \(-0.903707\pi\)
0.127631 + 0.991822i \(0.459263\pi\)
\(314\) 31.1695 11.8591i 1.75900 0.669249i
\(315\) −31.7762 + 33.8212i −1.79039 + 1.90561i
\(316\) −6.75396 + 6.00929i −0.379940 + 0.338049i
\(317\) 1.56322 4.29492i 0.0877994 0.241227i −0.888020 0.459804i \(-0.847919\pi\)
0.975820 + 0.218578i \(0.0701417\pi\)
\(318\) −1.77938 + 4.68997i −0.0997825 + 0.263001i
\(319\) −1.17354 0.984717i −0.0657056 0.0551336i
\(320\) −14.6980 + 20.9772i −0.821642 + 1.17266i
\(321\) −4.04740 27.4327i −0.225904 1.53114i
\(322\) 43.1422 + 24.0813i 2.40422 + 1.34200i
\(323\) 2.89297i 0.160969i
\(324\) 16.3442 + 7.54098i 0.908012 + 0.418943i
\(325\) 9.88511i 0.548327i
\(326\) −9.74285 + 17.4545i −0.539606 + 0.966717i
\(327\) −0.474977 3.21933i −0.0262663 0.178029i
\(328\) 0.421140 + 0.0555096i 0.0232536 + 0.00306500i
\(329\) 18.3133 + 15.3667i 1.00964 + 0.847191i
\(330\) −7.28766 2.76494i −0.401172 0.152205i
\(331\) 0.192521 0.528948i 0.0105819 0.0290736i −0.934289 0.356516i \(-0.883965\pi\)
0.944871 + 0.327442i \(0.106187\pi\)
\(332\) −0.644653 0.724540i −0.0353800 0.0397643i
\(333\) 20.9775 + 4.92578i 1.14956 + 0.269931i
\(334\) −7.07835 18.6041i −0.387310 1.01797i
\(335\) −7.09831 + 5.95619i −0.387822 + 0.325421i
\(336\) 20.7393 26.2741i 1.13142 1.43337i
\(337\) 0.591009 3.35178i 0.0321943 0.182583i −0.964470 0.264192i \(-0.914895\pi\)
0.996664 + 0.0816090i \(0.0260059\pi\)
\(338\) 8.74377 + 10.1189i 0.475598 + 0.550395i
\(339\) −18.5385 11.4082i −1.00687 0.619607i
\(340\) −5.48500 + 6.93547i −0.297466 + 0.376128i
\(341\) −7.05461 4.07298i −0.382028 0.220564i
\(342\) 8.47177 2.69002i 0.458101 0.145459i
\(343\) −22.5691 39.0908i −1.21862 2.11070i
\(344\) 22.8469 20.9289i 1.23182 1.12841i
\(345\) 8.06836 39.2810i 0.434386 2.11482i
\(346\) 2.27877 + 11.9114i 0.122507 + 0.640359i
\(347\) −7.26027 19.9474i −0.389752 1.07083i −0.967113 0.254345i \(-0.918140\pi\)
0.577362 0.816488i \(-0.304082\pi\)
\(348\) −4.09356 3.42838i −0.219438 0.183780i
\(349\) −3.08812 + 0.544519i −0.165303 + 0.0291474i −0.255687 0.966760i \(-0.582302\pi\)
0.0903839 + 0.995907i \(0.471191\pi\)
\(350\) 22.6621 27.8167i 1.21134 1.48686i
\(351\) 9.44030 2.56106i 0.503886 0.136699i
\(352\) 5.40846 + 1.53533i 0.288272 + 0.0818331i
\(353\) 5.50456 + 31.2179i 0.292978 + 1.66156i 0.675307 + 0.737537i \(0.264011\pi\)
−0.382329 + 0.924026i \(0.624878\pi\)
\(354\) 0.348159 0.194765i 0.0185044 0.0103516i
\(355\) 13.5351 + 37.1875i 0.718370 + 1.97371i
\(356\) −1.93023 + 3.57897i −0.102302 + 0.189685i
\(357\) 7.67298 8.64010i 0.406097 0.457283i
\(358\) 3.88761 + 6.51365i 0.205466 + 0.344257i
\(359\) −1.84427 3.19437i −0.0973369 0.168592i 0.813245 0.581922i \(-0.197699\pi\)
−0.910582 + 0.413330i \(0.864366\pi\)
\(360\) −25.4100 9.61335i −1.33922 0.506668i
\(361\) −7.30536 + 12.6533i −0.384493 + 0.665961i
\(362\) −12.1801 + 0.176544i −0.640170 + 0.00927897i
\(363\) 0.486381 17.3349i 0.0255284 0.909845i
\(364\) −0.527196 18.1822i −0.0276326 0.953008i
\(365\) −17.8884 3.15421i −0.936323 0.165099i
\(366\) 12.9957 15.0680i 0.679294 0.787615i
\(367\) −7.83970 + 6.57829i −0.409229 + 0.343384i −0.824048 0.566520i \(-0.808289\pi\)
0.414819 + 0.909904i \(0.363845\pi\)
\(368\) −3.36380 + 28.7284i −0.175350 + 1.49757i
\(369\) 0.0532348 + 0.447394i 0.00277129 + 0.0232904i
\(370\) −32.1073 5.18276i −1.66918 0.269439i
\(371\) −3.38395 + 9.29732i −0.175686 + 0.482693i
\(372\) −24.6020 14.1733i −1.27555 0.734849i
\(373\) 17.0363 20.3031i 0.882107 1.05125i −0.116208 0.993225i \(-0.537074\pi\)
0.998315 0.0580293i \(-0.0184817\pi\)
\(374\) 1.83322 + 0.637305i 0.0947938 + 0.0329543i
\(375\) −1.29506 0.512938i −0.0668766 0.0264880i
\(376\) −4.21051 + 13.3469i −0.217140 + 0.688314i
\(377\) −2.90162 −0.149441
\(378\) 32.4363 + 14.4356i 1.66835 + 0.742485i
\(379\) 27.2164i 1.39801i 0.715114 + 0.699007i \(0.246375\pi\)
−0.715114 + 0.699007i \(0.753625\pi\)
\(380\) −12.4684 + 4.95189i −0.639613 + 0.254027i
\(381\) −11.0333 13.9242i −0.565255 0.713358i
\(382\) −8.81910 + 25.3684i −0.451224 + 1.29796i
\(383\) −9.05624 7.59909i −0.462752 0.388295i 0.381390 0.924414i \(-0.375445\pi\)
−0.844143 + 0.536119i \(0.819890\pi\)
\(384\) 18.8561 + 5.33369i 0.962245 + 0.272184i
\(385\) −14.4469 5.25825i −0.736284 0.267985i
\(386\) −5.19706 0.838909i −0.264523 0.0426993i
\(387\) 27.4944 + 18.0017i 1.39762 + 0.915075i
\(388\) −15.4840 5.13260i −0.786082 0.260568i
\(389\) −15.2882 18.2198i −0.775143 0.923780i 0.223560 0.974690i \(-0.428232\pi\)
−0.998703 + 0.0509105i \(0.983788\pi\)
\(390\) −13.9403 + 4.86085i −0.705893 + 0.246139i
\(391\) −1.73391 + 9.83347i −0.0876874 + 0.497300i
\(392\) 28.1449 36.6676i 1.42153 1.85199i
\(393\) 13.3095 + 24.6228i 0.671377 + 1.24206i
\(394\) −15.8803 + 0.230177i −0.800036 + 0.0115961i
\(395\) 12.5335 + 7.23621i 0.630628 + 0.364093i
\(396\) −0.161667 + 5.96101i −0.00812408 + 0.299552i
\(397\) −18.5130 + 10.6885i −0.929143 + 0.536441i −0.886540 0.462651i \(-0.846898\pi\)
−0.0426022 + 0.999092i \(0.513565\pi\)
\(398\) −7.04034 + 4.20195i −0.352900 + 0.210625i
\(399\) 16.6364 5.53188i 0.832862 0.276941i
\(400\) 20.1211 + 6.02832i 1.00605 + 0.301416i
\(401\) 8.00805 2.91469i 0.399903 0.145553i −0.134236 0.990949i \(-0.542858\pi\)
0.534139 + 0.845397i \(0.320636\pi\)
\(402\) 6.09070 + 3.62744i 0.303777 + 0.180920i
\(403\) −15.1946 + 2.67922i −0.756899 + 0.133462i
\(404\) −3.90289 + 0.805467i −0.194176 + 0.0400735i
\(405\) 3.22641 28.6345i 0.160322 1.42286i
\(406\) −8.16515 6.65212i −0.405230 0.330139i
\(407\) 1.23961 + 7.03019i 0.0614453 + 0.348473i
\(408\) 6.39175 + 2.21533i 0.316439 + 0.109675i
\(409\) −13.0223 + 4.73975i −0.643913 + 0.234365i −0.643276 0.765634i \(-0.722425\pi\)
−0.000637580 1.00000i \(0.500203\pi\)
\(410\) −0.127778 0.667911i −0.00631052 0.0329858i
\(411\) −3.79664 11.4179i −0.187275 0.563204i
\(412\) −1.18736 + 8.10031i −0.0584972 + 0.399074i
\(413\) 0.681445 0.393432i 0.0335317 0.0193595i
\(414\) −30.4086 + 4.06605i −1.49450 + 0.199835i
\(415\) −0.776273 + 1.34454i −0.0381058 + 0.0660011i
\(416\) 9.71661 4.35706i 0.476396 0.213622i
\(417\) 1.86583 + 3.45182i 0.0913703 + 0.169036i
\(418\) 1.92530 + 2.22809i 0.0941697 + 0.108980i
\(419\) 18.4397 + 3.25141i 0.900836 + 0.158842i 0.604840 0.796347i \(-0.293237\pi\)
0.295997 + 0.955189i \(0.404348\pi\)
\(420\) −50.3716 18.2804i −2.45788 0.891991i
\(421\) −9.52650 11.3532i −0.464293 0.553323i 0.482194 0.876065i \(-0.339840\pi\)
−0.946487 + 0.322741i \(0.895396\pi\)
\(422\) −0.323231 + 0.122980i −0.0157346 + 0.00598659i
\(423\) −14.8209 0.832343i −0.720617 0.0404699i
\(424\) −5.78671 + 0.251768i −0.281027 + 0.0122269i
\(425\) 6.81381 + 2.48002i 0.330518 + 0.120299i
\(426\) 23.4545 19.1449i 1.13638 0.927573i
\(427\) 25.2276 30.0651i 1.22085 1.45495i
\(428\) 27.2540 16.8067i 1.31737 0.812383i
\(429\) 2.01252 + 2.53982i 0.0971653 + 0.122624i
\(430\) −43.3109 24.1755i −2.08863 1.16584i
\(431\) −13.2343 −0.637472 −0.318736 0.947844i \(-0.603258\pi\)
−0.318736 + 0.947844i \(0.603258\pi\)
\(432\) −0.544030 + 20.7775i −0.0261747 + 0.999657i
\(433\) −33.7081 −1.61991 −0.809954 0.586494i \(-0.800508\pi\)
−0.809954 + 0.586494i \(0.800508\pi\)
\(434\) −48.8999 27.2952i −2.34727 1.31021i
\(435\) −3.14772 + 7.94731i −0.150921 + 0.381045i
\(436\) 3.19836 1.97233i 0.153174 0.0944574i
\(437\) −9.73806 + 11.6054i −0.465834 + 0.555160i
\(438\) 2.22737 + 13.7170i 0.106428 + 0.655422i
\(439\) 20.0359 + 7.29248i 0.956263 + 0.348051i 0.772568 0.634932i \(-0.218972\pi\)
0.183695 + 0.982983i \(0.441194\pi\)
\(440\) −0.391217 8.99186i −0.0186506 0.428670i
\(441\) 45.0584 + 19.3254i 2.14564 + 0.920258i
\(442\) 3.43582 1.30723i 0.163425 0.0621787i
\(443\) −1.83638 2.18851i −0.0872491 0.103979i 0.720654 0.693295i \(-0.243842\pi\)
−0.807903 + 0.589316i \(0.799397\pi\)
\(444\) 4.34359 + 24.4995i 0.206137 + 1.16270i
\(445\) 6.41074 + 1.13039i 0.303898 + 0.0535854i
\(446\) 4.22277 + 4.88688i 0.199954 + 0.231400i
\(447\) −7.91781 0.222158i −0.374500 0.0105077i
\(448\) 37.3313 + 10.0151i 1.76374 + 0.473169i
\(449\) −6.08759 + 10.5440i −0.287291 + 0.497602i −0.973162 0.230120i \(-0.926088\pi\)
0.685871 + 0.727723i \(0.259421\pi\)
\(450\) −0.926704 + 22.2596i −0.0436852 + 1.04933i
\(451\) −0.129265 + 0.0746311i −0.00608685 + 0.00351424i
\(452\) 3.64538 24.8692i 0.171464 1.16975i
\(453\) 12.2948 13.8445i 0.577660 0.650470i
\(454\) 4.96167 + 25.9352i 0.232863 + 1.21720i
\(455\) −27.3635 + 9.95952i −1.28282 + 0.466909i
\(456\) 6.71788 + 7.75969i 0.314594 + 0.363381i
\(457\) 4.03205 + 22.8669i 0.188611 + 1.06967i 0.921227 + 0.389025i \(0.127188\pi\)
−0.732616 + 0.680642i \(0.761701\pi\)
\(458\) 5.43518 + 4.42802i 0.253969 + 0.206908i
\(459\) −0.603086 + 7.14973i −0.0281497 + 0.333721i
\(460\) 45.3490 9.35901i 2.11441 0.436366i
\(461\) −0.632433 + 0.111515i −0.0294553 + 0.00519377i −0.188356 0.982101i \(-0.560316\pi\)
0.158901 + 0.987295i \(0.449205\pi\)
\(462\) −0.159452 + 11.7608i −0.00741839 + 0.547164i
\(463\) 21.3542 7.77228i 0.992413 0.361209i 0.205759 0.978603i \(-0.434034\pi\)
0.786654 + 0.617394i \(0.211812\pi\)
\(464\) 1.76952 5.90623i 0.0821478 0.274190i
\(465\) −9.14516 + 44.5234i −0.424096 + 2.06472i
\(466\) 7.54574 4.50359i 0.349549 0.208625i
\(467\) −9.58039 + 5.53124i −0.443328 + 0.255955i −0.705008 0.709199i \(-0.749057\pi\)
0.261681 + 0.965155i \(0.415723\pi\)
\(468\) 7.02288 + 8.84592i 0.324633 + 0.408903i
\(469\) 12.1093 + 6.99132i 0.559156 + 0.322829i
\(470\) 22.4023 0.324711i 1.03334 0.0149778i
\(471\) −21.4062 + 34.7856i −0.986347 + 1.60283i
\(472\) 0.365415 + 0.280481i 0.0168196 + 0.0129102i
\(473\) −1.89055 + 10.7219i −0.0869277 + 0.492992i
\(474\) 2.07029 10.8768i 0.0950917 0.499589i
\(475\) 7.07166 + 8.42767i 0.324470 + 0.386688i
\(476\) 12.6653 + 4.19825i 0.580512 + 0.192426i
\(477\) −1.77420 5.88177i −0.0812352 0.269308i
\(478\) −0.703559 0.113568i −0.0321800 0.00519450i
\(479\) −8.82538 3.21217i −0.403242 0.146768i 0.132434 0.991192i \(-0.457721\pi\)
−0.535676 + 0.844424i \(0.679943\pi\)
\(480\) −1.39293 31.3396i −0.0635782 1.43045i
\(481\) 10.3578 + 8.69120i 0.472273 + 0.396284i
\(482\) −11.2988 + 32.5014i −0.514648 + 1.48040i
\(483\) −59.8642 + 8.83232i −2.72392 + 0.401884i
\(484\) 18.6104 7.39126i 0.845929 0.335966i
\(485\) 26.1143i 1.18579i
\(486\) −21.4980 + 4.88207i −0.975171 + 0.221455i
\(487\) 13.0881 0.593080 0.296540 0.955020i \(-0.404167\pi\)
0.296540 + 0.955020i \(0.404167\pi\)
\(488\) 21.9118 + 6.91243i 0.991899 + 0.312911i
\(489\) −3.57339 24.2200i −0.161594 1.09526i
\(490\) −69.8955 24.2986i −3.15756 1.09770i
\(491\) 2.41149 2.87390i 0.108829 0.129697i −0.708880 0.705329i \(-0.750799\pi\)
0.817709 + 0.575632i \(0.195244\pi\)
\(492\) −0.450307 + 0.260547i −0.0203014 + 0.0117464i
\(493\) 0.727972 2.00009i 0.0327862 0.0900794i
\(494\) 5.50619 + 0.888808i 0.247735 + 0.0399894i
\(495\) 9.13957 2.75690i 0.410793 0.123913i
\(496\) 3.81273 32.5625i 0.171196 1.46210i
\(497\) 45.7460 38.3854i 2.05199 1.72182i
\(498\) 1.16682 + 0.222093i 0.0522866 + 0.00995223i
\(499\) −9.17294 1.61744i −0.410637 0.0724064i −0.0354863 0.999370i \(-0.511298\pi\)
−0.375151 + 0.926964i \(0.622409\pi\)
\(500\) −0.0466170 1.60775i −0.00208478 0.0719009i
\(501\) 20.7625 + 12.7767i 0.927599 + 0.570823i
\(502\) −37.1469 + 0.538428i −1.65795 + 0.0240312i
\(503\) 15.5610 26.9524i 0.693830 1.20175i −0.276743 0.960944i \(-0.589255\pi\)
0.970573 0.240805i \(-0.0774115\pi\)
\(504\) −0.517380 + 40.9927i −0.0230459 + 1.82596i
\(505\) 3.18985 + 5.52498i 0.141946 + 0.245858i
\(506\) −5.20888 8.72743i −0.231563 0.387982i
\(507\) −16.0439 3.29544i −0.712537 0.146356i
\(508\) 9.73778 18.0554i 0.432044 0.801081i
\(509\) −5.33369 14.6542i −0.236411 0.649535i −0.999993 0.00382339i \(-0.998783\pi\)
0.763581 0.645712i \(-0.223439\pi\)
\(510\) 0.146812 10.8285i 0.00650095 0.479496i
\(511\) 4.75969 + 26.9936i 0.210556 + 1.19412i
\(512\) 2.94319 + 22.4352i 0.130072 + 0.991505i
\(513\) −6.21629 + 8.93690i −0.274456 + 0.394574i
\(514\) −21.1145 + 25.9170i −0.931320 + 1.14315i
\(515\) 12.9070 2.27586i 0.568752 0.100286i
\(516\) −6.55449 + 37.3770i −0.288545 + 1.64543i
\(517\) −1.68196 4.62116i −0.0739727 0.203238i
\(518\) 9.22169 + 48.2027i 0.405178 + 2.11791i
\(519\) −11.1058 9.86266i −0.487490 0.432923i
\(520\) −11.5151 12.5704i −0.504970 0.551248i
\(521\) −13.7160 23.7568i −0.600909 1.04080i −0.992684 0.120744i \(-0.961472\pi\)
0.391775 0.920061i \(-0.371861\pi\)
\(522\) 6.53395 + 0.272019i 0.285983 + 0.0119060i
\(523\) −24.8748 14.3615i −1.08770 0.627984i −0.154737 0.987956i \(-0.549453\pi\)
−0.932963 + 0.359972i \(0.882786\pi\)
\(524\) −20.0485 + 25.3501i −0.875821 + 1.10742i
\(525\) −1.23247 + 43.9260i −0.0537895 + 1.91709i
\(526\) 17.5462 + 20.3056i 0.765049 + 0.885367i
\(527\) 1.96531 11.1458i 0.0856104 0.485521i
\(528\) −6.39709 + 2.54759i −0.278398 + 0.110869i
\(529\) 22.4372 18.8271i 0.975531 0.818568i
\(530\) 3.29735 + 8.66647i 0.143228 + 0.376447i
\(531\) −0.192589 + 0.449034i −0.00835767 + 0.0194864i
\(532\) 13.4567 + 15.1243i 0.583424 + 0.655723i
\(533\) −0.0966938 + 0.265664i −0.00418827 + 0.0115072i
\(534\) −0.798231 4.91580i −0.0345428 0.212727i
\(535\) −39.2668 32.9487i −1.69765 1.42450i
\(536\) −1.06970 + 8.11557i −0.0462038 + 0.350539i
\(537\) −8.63758 3.42111i −0.372739 0.147632i
\(538\) 18.8031 33.6861i 0.810658 1.45231i
\(539\) 16.2424i 0.699609i
\(540\) 31.8468 9.63895i 1.37047 0.414794i
\(541\) 21.9494i 0.943679i 0.881685 + 0.471839i \(0.156410\pi\)
−0.881685 + 0.471839i \(0.843590\pi\)
\(542\) −16.1061 8.99016i −0.691815 0.386160i
\(543\) 11.6931 9.26547i 0.501800 0.397619i
\(544\) 0.565569 + 7.79078i 0.0242486 + 0.334027i
\(545\) −4.60810 3.86665i −0.197389 0.165629i
\(546\) 14.0873 + 17.2585i 0.602882 + 0.738594i
\(547\) −9.09630 + 24.9919i −0.388930 + 1.06858i 0.578554 + 0.815644i \(0.303617\pi\)
−0.967484 + 0.252932i \(0.918605\pi\)
\(548\) 10.3801 9.23564i 0.443417 0.394527i
\(549\) −1.36647 + 24.3316i −0.0583194 + 1.03845i
\(550\) −6.89831 + 2.62461i −0.294145 + 0.111914i
\(551\) 2.47381 2.07577i 0.105388 0.0884309i
\(552\) −18.1839 30.4023i −0.773959 1.29401i
\(553\) 3.79227 21.5070i 0.161264 0.914572i
\(554\) 19.4309 16.7903i 0.825541 0.713353i
\(555\) 35.0408 18.9408i 1.48740 0.803992i
\(556\) −2.81055 + 3.55378i −0.119194 + 0.150714i
\(557\) 3.97092 + 2.29261i 0.168253 + 0.0971411i 0.581762 0.813359i \(-0.302364\pi\)
−0.413509 + 0.910500i \(0.635697\pi\)
\(558\) 34.4669 4.60870i 1.45910 0.195102i
\(559\) 10.3106 + 17.8585i 0.436093 + 0.755336i
\(560\) −3.58519 61.7720i −0.151502 2.61034i
\(561\) −2.25561 + 0.750027i −0.0952318 + 0.0316662i
\(562\) 25.4621 4.87117i 1.07406 0.205478i
\(563\) 4.02884 + 11.0691i 0.169795 + 0.466508i 0.995180 0.0980616i \(-0.0312642\pi\)
−0.825385 + 0.564570i \(0.809042\pi\)
\(564\) −5.87754 16.1015i −0.247489 0.677994i
\(565\) −39.6265 + 6.98722i −1.66710 + 0.293955i
\(566\) 3.13210 + 2.55171i 0.131652 + 0.107256i
\(567\) −42.2687 + 10.2034i −1.77512 + 0.428505i
\(568\) 31.0073 + 16.1474i 1.30104 + 0.677529i
\(569\) −4.06015 23.0263i −0.170210 0.965311i −0.943528 0.331293i \(-0.892515\pi\)
0.773318 0.634019i \(-0.218596\pi\)
\(570\) 8.40756 14.1168i 0.352154 0.591289i
\(571\) 6.26320 + 17.2080i 0.262107 + 0.720133i 0.999025 + 0.0441505i \(0.0140581\pi\)
−0.736918 + 0.675982i \(0.763720\pi\)
\(572\) −1.77620 + 3.29337i −0.0742668 + 0.137703i
\(573\) −10.3790 31.2133i −0.433587 1.30396i
\(574\) −0.881145 + 0.525902i −0.0367783 + 0.0219507i
\(575\) −18.9861 32.8848i −0.791774 1.37139i
\(576\) −22.2886 + 8.90044i −0.928692 + 0.370852i
\(577\) −8.36154 + 14.4826i −0.348095 + 0.602919i −0.985911 0.167270i \(-0.946505\pi\)
0.637816 + 0.770189i \(0.279838\pi\)
\(578\) −0.309354 21.3428i −0.0128674 0.887745i
\(579\) 5.67189 3.06586i 0.235716 0.127413i
\(580\) −9.86621 + 0.286072i −0.409672 + 0.0118785i
\(581\) 2.30719 + 0.406820i 0.0957185 + 0.0168778i
\(582\) 18.8647 6.57798i 0.781968 0.272666i
\(583\) 1.55912 1.30826i 0.0645721 0.0541824i
\(584\) −13.5348 + 8.61968i −0.560072 + 0.356685i
\(585\) 9.90452 15.1274i 0.409502 0.625442i
\(586\) 2.19542 13.6007i 0.0906919 0.561839i
\(587\) −0.548520 + 1.50705i −0.0226398 + 0.0622024i −0.950498 0.310732i \(-0.899426\pi\)
0.927858 + 0.372934i \(0.121648\pi\)
\(588\) 0.0530149 + 56.6125i 0.00218630 + 2.33466i
\(589\) 11.0377 13.1542i 0.454800 0.542010i
\(590\) 0.242150 0.696550i 0.00996915 0.0286765i
\(591\) 15.2454 12.0802i 0.627111 0.496914i
\(592\) −24.0074 + 15.7829i −0.986699 + 0.648674i
\(593\) 28.2534 1.16023 0.580114 0.814536i \(-0.303008\pi\)
0.580114 + 0.814536i \(0.303008\pi\)
\(594\) −4.29374 5.90791i −0.176174 0.242404i
\(595\) 21.3604i 0.875691i
\(596\) −3.37601 8.50044i −0.138287 0.348191i
\(597\) 3.69774 9.33600i 0.151338 0.382097i
\(598\) −18.1833 6.32128i −0.743571 0.258496i
\(599\) 25.1983 + 21.1439i 1.02958 + 0.863916i 0.990800 0.135331i \(-0.0432099\pi\)
0.0387752 + 0.999248i \(0.487654\pi\)
\(600\) −24.0354 + 9.17055i −0.981239 + 0.374386i
\(601\) −1.45003 0.527767i −0.0591479 0.0215281i 0.312277 0.949991i \(-0.398908\pi\)
−0.371425 + 0.928463i \(0.621131\pi\)
\(602\) −11.9276 + 73.8915i −0.486131 + 3.01159i
\(603\) −8.62149 + 1.02586i −0.351094 + 0.0417762i
\(604\) 20.2942 + 6.72706i 0.825760 + 0.273720i
\(605\) −20.6056 24.5568i −0.837737 0.998376i
\(606\) 3.18770 3.69601i 0.129491 0.150140i
\(607\) −3.48342 + 19.7555i −0.141388 + 0.801850i 0.828809 + 0.559532i \(0.189019\pi\)
−0.970197 + 0.242318i \(0.922092\pi\)
\(608\) −5.16704 + 10.6658i −0.209551 + 0.432554i
\(609\) 12.8938 + 0.361773i 0.522482 + 0.0146598i
\(610\) −0.533082 36.7782i −0.0215839 1.48910i
\(611\) −8.06664 4.65728i −0.326341 0.188413i
\(612\) −7.85942 + 2.62157i −0.317698 + 0.105970i
\(613\) 33.0061 19.0561i 1.33311 0.769669i 0.347331 0.937743i \(-0.387088\pi\)
0.985774 + 0.168074i \(0.0537547\pi\)
\(614\) −16.7036 27.9868i −0.674104 1.12946i
\(615\) 0.622738 + 0.553033i 0.0251112 + 0.0223004i
\(616\) −12.5485 + 5.19550i −0.505592 + 0.209333i
\(617\) −37.6906 + 13.7182i −1.51737 + 0.552276i −0.960489 0.278319i \(-0.910223\pi\)
−0.556877 + 0.830595i \(0.688000\pi\)
\(618\) −4.89524 8.75066i −0.196915 0.352003i
\(619\) 43.5901 7.68610i 1.75203 0.308931i 0.796680 0.604401i \(-0.206587\pi\)
0.955352 + 0.295470i \(0.0954763\pi\)
\(620\) −51.4013 + 10.6081i −2.06433 + 0.426030i
\(621\) 26.4861 26.6516i 1.06285 1.06949i
\(622\) 22.2603 27.3234i 0.892555 1.09557i
\(623\) −1.70575 9.67377i −0.0683393 0.387572i
\(624\) −6.18017 + 11.4848i −0.247405 + 0.459759i
\(625\) 22.2529 8.09938i 0.890115 0.323975i
\(626\) 26.5285 5.07517i 1.06029 0.202845i
\(627\) −3.53274 0.725629i −0.141084 0.0289788i
\(628\) −46.6644 6.84018i −1.86211 0.272953i
\(629\) −8.58945 + 4.95912i −0.342484 + 0.197733i
\(630\) 62.5517 19.8619i 2.49212 0.791316i
\(631\) 15.4788 26.8101i 0.616202 1.06729i −0.373971 0.927441i \(-0.622004\pi\)
0.990172 0.139852i \(-0.0446627\pi\)
\(632\) 12.4823 2.76527i 0.496520 0.109996i
\(633\) 0.221985 0.360730i 0.00882311 0.0143377i
\(634\) −4.89078 + 4.22614i −0.194238 + 0.167842i
\(635\) −32.3414 5.70266i −1.28343 0.226303i
\(636\) 5.43001 4.56499i 0.215314 0.181014i
\(637\) 19.7749 + 23.5668i 0.783510 + 0.933750i
\(638\) 0.770415 + 2.02489i 0.0305010 + 0.0801662i
\(639\) −8.47641 + 36.0986i −0.335321 + 1.42804i
\(640\) 32.6093 15.7730i 1.28899 0.623483i
\(641\) 11.5323 + 4.19742i 0.455499 + 0.165788i 0.559572 0.828782i \(-0.310965\pi\)
−0.104073 + 0.994570i \(0.533188\pi\)
\(642\) −13.9109 + 36.6655i −0.549019 + 1.44707i
\(643\) −14.1055 + 16.8103i −0.556268 + 0.662935i −0.968752 0.248030i \(-0.920217\pi\)
0.412484 + 0.910965i \(0.364661\pi\)
\(644\) −36.6759 59.4743i −1.44523 2.34362i
\(645\) 60.0983 8.86685i 2.36637 0.349132i
\(646\) −1.99407 + 3.57243i −0.0784558 + 0.140555i
\(647\) −31.2893 −1.23011 −0.615055 0.788484i \(-0.710866\pi\)
−0.615055 + 0.788484i \(0.710866\pi\)
\(648\) −14.9850 20.5779i −0.588668 0.808375i
\(649\) −0.161865 −0.00635376
\(650\) −6.81363 + 12.2068i −0.267253 + 0.478789i
\(651\) 67.8537 10.0111i 2.65940 0.392365i
\(652\) 24.0622 14.8384i 0.942348 0.581117i
\(653\) −18.6398 + 22.2141i −0.729434 + 0.869305i −0.995511 0.0946466i \(-0.969828\pi\)
0.266077 + 0.963952i \(0.414272\pi\)
\(654\) −1.63249 + 4.30283i −0.0638356 + 0.168254i
\(655\) 48.6196 + 17.6961i 1.89972 + 0.691443i
\(656\) −0.481789 0.358831i −0.0188107 0.0140100i
\(657\) −12.4040 11.6540i −0.483926 0.454665i
\(658\) −12.0224 31.5988i −0.468684 1.23185i
\(659\) −20.4268 24.3438i −0.795716 0.948298i 0.203812 0.979010i \(-0.434667\pi\)
−0.999528 + 0.0307122i \(0.990222\pi\)
\(660\) 7.09345 + 8.43758i 0.276112 + 0.328432i
\(661\) 41.1487 + 7.25563i 1.60050 + 0.282211i 0.901457 0.432868i \(-0.142498\pi\)
0.699043 + 0.715079i \(0.253610\pi\)
\(662\) −0.602332 + 0.520477i −0.0234103 + 0.0202289i
\(663\) −2.35961 + 3.83442i −0.0916398 + 0.148917i
\(664\) 0.296647 + 1.33906i 0.0115121 + 0.0519655i
\(665\) 16.2042 28.0666i 0.628373 1.08837i
\(666\) −22.5091 20.5421i −0.872211 0.795990i
\(667\) −9.65283 + 5.57306i −0.373759 + 0.215790i
\(668\) −4.08270 + 27.8526i −0.157964 + 1.07765i
\(669\) −7.74836 1.59152i −0.299569 0.0615318i
\(670\) 12.8709 2.46235i 0.497248 0.0951287i
\(671\) −7.58661 + 2.76130i −0.292878 + 0.106599i
\(672\) −43.7205 + 18.1498i −1.68655 + 0.700142i
\(673\) 0.0416438 + 0.236174i 0.00160525 + 0.00910382i 0.985600 0.169094i \(-0.0540843\pi\)
−0.983995 + 0.178198i \(0.942973\pi\)
\(674\) −3.04014 + 3.73162i −0.117102 + 0.143737i
\(675\) −15.7201 22.3025i −0.605067 0.858422i
\(676\) −3.82260 18.5224i −0.147023 0.712399i
\(677\) −35.9433 + 6.33778i −1.38141 + 0.243581i −0.814484 0.580185i \(-0.802980\pi\)
−0.566930 + 0.823766i \(0.691869\pi\)
\(678\) 15.0291 + 26.8658i 0.577189 + 1.03178i
\(679\) 37.0299 13.4778i 1.42108 0.517229i
\(680\) 11.5537 4.78364i 0.443065 0.183444i
\(681\) −24.1811 21.4744i −0.926623 0.822902i
\(682\) 5.90405 + 9.89219i 0.226078 + 0.378792i
\(683\) 2.39199 1.38102i 0.0915271 0.0528432i −0.453538 0.891237i \(-0.649838\pi\)
0.545065 + 0.838394i \(0.316505\pi\)
\(684\) −12.3157 2.51763i −0.470901 0.0962641i
\(685\) −19.2626 11.1213i −0.735988 0.424923i
\(686\) 0.925161 + 63.8283i 0.0353228 + 2.43697i
\(687\) −8.58282 0.240816i −0.327455 0.00918771i
\(688\) −42.6387 + 10.0964i −1.62559 + 0.384922i
\(689\) 0.669410 3.79641i 0.0255025 0.144632i
\(690\) −37.0390 + 42.9453i −1.41005 + 1.63490i
\(691\) 22.4044 + 26.7005i 0.852303 + 1.01573i 0.999645 + 0.0266492i \(0.00848370\pi\)
−0.147342 + 0.989086i \(0.547072\pi\)
\(692\) 5.39633 16.2796i 0.205138 0.618859i
\(693\) −8.62626 11.5370i −0.327685 0.438254i
\(694\) −4.78396 + 29.6367i −0.181597 + 1.12499i
\(695\) 6.81588 + 2.48078i 0.258541 + 0.0941013i
\(696\) 2.69187 + 7.05520i 0.102035 + 0.267427i
\(697\) −0.158863 0.133302i −0.00601737 0.00504918i
\(698\) 4.18874 + 1.45618i 0.158546 + 0.0551172i
\(699\) −3.96318 + 10.0062i −0.149901 + 0.378469i
\(700\) −47.1582 + 18.7292i −1.78241 + 0.707897i
\(701\) 14.7036i 0.555346i −0.960676 0.277673i \(-0.910437\pi\)
0.960676 0.277673i \(-0.0895631\pi\)
\(702\) −13.4228 3.34447i −0.506610 0.126229i
\(703\) −15.0482 −0.567553
\(704\) −5.62044 5.62387i −0.211828 0.211958i
\(705\) −21.5067 + 17.0416i −0.809990 + 0.641825i
\(706\) 14.7206 42.3441i 0.554016 1.59364i
\(707\) 6.18807 7.37466i 0.232726 0.277353i
\(708\) −0.564177 0.000528326i −0.0212031 1.98557e-5i
\(709\) 13.3434 36.6606i 0.501121 1.37682i −0.389061 0.921212i \(-0.627200\pi\)
0.890182 0.455606i \(-0.150577\pi\)
\(710\) 8.91861 55.2510i 0.334710 2.07353i
\(711\) 6.11109 + 12.1054i 0.229184 + 0.453989i
\(712\) 4.85050 3.08907i 0.181780 0.115768i
\(713\) −45.4021 + 38.0969i −1.70032 + 1.42674i
\(714\) −15.4306 + 5.38051i −0.577474 + 0.201360i
\(715\) 5.89917 + 1.04018i 0.220617 + 0.0389007i
\(716\) −0.310919 10.7231i −0.0116196 0.400742i
\(717\) 0.767839 0.415045i 0.0286755 0.0155001i
\(718\) 0.0756011 + 5.21584i 0.00282141 + 0.194653i
\(719\) 10.5503 18.2736i 0.393458 0.681490i −0.599445 0.800416i \(-0.704612\pi\)
0.992903 + 0.118926i \(0.0379452\pi\)
\(720\) 24.7516 + 29.3859i 0.922437 + 1.09515i
\(721\) −9.88856 17.1275i −0.368269 0.637861i
\(722\) 17.7428 10.5896i 0.660318 0.394104i
\(723\) −13.2973 39.9898i −0.494531 1.48724i
\(724\) 15.1624 + 8.17750i 0.563507 + 0.303914i
\(725\) 2.76837 + 7.60604i 0.102815 + 0.282481i
\(726\) −12.5492 + 21.0710i −0.465746 + 0.782017i
\(727\) −7.23521 41.0329i −0.268339 1.52183i −0.759355 0.650676i \(-0.774485\pi\)
0.491016 0.871151i \(-0.336626\pi\)
\(728\) −11.8817 + 22.8160i −0.440364 + 0.845616i
\(729\) 17.2261 20.7909i 0.638003 0.770034i
\(730\) 19.9156 + 16.2252i 0.737111 + 0.600522i
\(731\) −14.8967 + 2.62669i −0.550973 + 0.0971515i
\(732\) −26.4339 + 9.64921i −0.977027 + 0.356645i
\(733\) −1.78906 4.91541i −0.0660806 0.181555i 0.902257 0.431198i \(-0.141909\pi\)
−0.968338 + 0.249643i \(0.919687\pi\)
\(734\) 14.2153 2.71953i 0.524695 0.100380i
\(735\) 85.9997 28.5963i 3.17215 1.05479i
\(736\) 23.9558 33.1571i 0.883022 1.22219i
\(737\) −1.43818 2.49099i −0.0529759 0.0917570i
\(738\) 0.242643 0.589165i 0.00893182 0.0216875i
\(739\) 33.2814 + 19.2150i 1.22428 + 0.706837i 0.965827 0.259188i \(-0.0834549\pi\)
0.258450 + 0.966025i \(0.416788\pi\)
\(740\) 36.0758 + 28.5310i 1.32617 + 1.04882i
\(741\) −6.00926 + 3.24822i −0.220756 + 0.119326i
\(742\) 10.5872 9.14844i 0.388668 0.335850i
\(743\) 7.80101 44.2417i 0.286191 1.62307i −0.414808 0.909909i \(-0.636151\pi\)
0.700999 0.713162i \(-0.252738\pi\)
\(744\) 20.6107 + 34.4597i 0.755626 + 1.26336i
\(745\) −11.2165 + 9.41174i −0.410940 + 0.344820i
\(746\) −35.0321 + 13.3287i −1.28262 + 0.488000i
\(747\) −1.29863 + 0.655574i −0.0475142 + 0.0239862i
\(748\) −1.82450 2.05060i −0.0667104 0.0749772i
\(749\) −26.4552 + 72.6850i −0.966651 + 2.65585i
\(750\) 1.24566 + 1.52607i 0.0454852 + 0.0557242i
\(751\) −33.4712 28.0857i −1.22138 1.02486i −0.998751 0.0499593i \(-0.984091\pi\)
−0.222632 0.974903i \(-0.571465\pi\)
\(752\) 14.3992 13.5794i 0.525085 0.495190i
\(753\) 35.6618 28.2580i 1.29959 1.02978i
\(754\) 3.58311 + 2.00004i 0.130489 + 0.0728370i
\(755\) 34.2268i 1.24564i
\(756\) −30.1043 40.1838i −1.09488 1.46147i
\(757\) 29.4804i 1.07148i −0.844382 0.535742i \(-0.820032\pi\)
0.844382 0.535742i \(-0.179968\pi\)
\(758\) 18.7598 33.6086i 0.681387 1.22072i
\(759\) 11.5732 + 4.58384i 0.420081 + 0.166383i
\(760\) 18.8100 + 2.47930i 0.682310 + 0.0899338i
\(761\) −15.0210 12.6041i −0.544510 0.456898i 0.328567 0.944481i \(-0.393434\pi\)
−0.873077 + 0.487582i \(0.837879\pi\)
\(762\) 4.02698 + 24.7996i 0.145882 + 0.898394i
\(763\) −3.10461 + 8.52985i −0.112395 + 0.308801i
\(764\) 28.3764 25.2476i 1.02662 0.913427i
\(765\) 7.94244 + 10.6224i 0.287160 + 0.384055i
\(766\) 5.94531 + 15.6262i 0.214813 + 0.564596i
\(767\) −0.234857 + 0.197069i −0.00848020 + 0.00711574i
\(768\) −19.6083 19.5835i −0.707553 0.706660i
\(769\) 1.06391 6.03372i 0.0383655 0.217582i −0.959598 0.281376i \(-0.909209\pi\)
0.997963 + 0.0637946i \(0.0203203\pi\)
\(770\) 14.2156 + 16.4512i 0.512294 + 0.592862i
\(771\) 1.14830 40.9261i 0.0413551 1.47392i
\(772\) 5.83942 + 4.61818i 0.210165 + 0.166212i
\(773\) 21.6541 + 12.5020i