Properties

Label 546.2.bv.a.515.21
Level $546$
Weight $2$
Character 546.515
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 515.21
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.51923 + 0.831834i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.98929 - 0.533030i) q^{5} +(-1.68276 + 0.410285i) q^{6} +(-2.22758 - 1.42754i) q^{7} +(0.707107 + 0.707107i) q^{8} +(1.61610 - 2.52749i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.51923 + 0.831834i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-1.98929 - 0.533030i) q^{5} +(-1.68276 + 0.410285i) q^{6} +(-2.22758 - 1.42754i) q^{7} +(0.707107 + 0.707107i) q^{8} +(1.61610 - 2.52749i) q^{9} +(-1.78355 - 1.02973i) q^{10} +(3.44459 - 0.922976i) q^{11} +(-1.73161 - 0.0392246i) q^{12} +(-3.26173 + 1.53659i) q^{13} +(-1.78221 - 1.95544i) q^{14} +(3.46558 - 0.844969i) q^{15} +(0.500000 + 0.866025i) q^{16} +(3.54630 - 6.14237i) q^{17} +(2.21520 - 2.02309i) q^{18} +(1.49254 - 5.57022i) q^{19} +(-1.45626 - 1.45626i) q^{20} +(4.57168 + 0.315779i) q^{21} +3.56611 q^{22} +(-3.12969 - 5.42078i) q^{23} +(-1.66245 - 0.486061i) q^{24} +(-0.656955 - 0.379293i) q^{25} +(-3.54829 + 0.640028i) q^{26} +(-0.352780 + 5.18416i) q^{27} +(-1.21537 - 2.35008i) q^{28} +0.340291i q^{29} +(3.56619 + 0.0807818i) q^{30} +(-8.31053 + 2.22680i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-4.46536 + 4.26754i) q^{33} +(5.01522 - 5.01522i) q^{34} +(3.67040 + 4.02717i) q^{35} +(2.66333 - 1.38082i) q^{36} +(7.50999 + 2.01230i) q^{37} +(2.88336 - 4.99412i) q^{38} +(3.67713 - 5.04764i) q^{39} +(-1.02973 - 1.78355i) q^{40} +(5.27007 - 5.27007i) q^{41} +(4.33418 + 1.48826i) q^{42} -0.428508i q^{43} +(3.44459 + 0.922976i) q^{44} +(-4.56214 + 4.16649i) q^{45} +(-1.62005 - 6.04610i) q^{46} +(-0.403284 + 1.50508i) q^{47} +(-1.48000 - 0.899773i) q^{48} +(2.92426 + 6.35993i) q^{49} +(-0.536402 - 0.536402i) q^{50} +(-0.278204 + 12.2816i) q^{51} +(-3.59304 - 0.300145i) q^{52} +(-5.74215 - 3.31523i) q^{53} +(-1.68252 + 4.91621i) q^{54} -7.34429 q^{55} +(-0.565716 - 2.58456i) q^{56} +(2.36599 + 9.70397i) q^{57} +(-0.0880738 + 0.328696i) q^{58} +(-1.94912 + 0.522265i) q^{59} +(3.42377 + 1.00103i) q^{60} +(-0.887540 - 1.53726i) q^{61} -8.60369 q^{62} +(-7.20810 + 3.32314i) q^{63} +1.00000i q^{64} +(7.30759 - 1.31812i) q^{65} +(-5.41773 + 2.96641i) q^{66} +(-11.7315 + 3.14344i) q^{67} +(6.14237 - 3.54630i) q^{68} +(9.26390 + 5.63202i) q^{69} +(2.50302 + 4.83991i) q^{70} +(-1.49159 + 1.49159i) q^{71} +(2.92996 - 0.644446i) q^{72} +(-1.14879 - 4.28734i) q^{73} +(6.73327 + 3.88746i) q^{74} +(1.31357 + 0.0297552i) q^{75} +(4.07768 - 4.07768i) q^{76} +(-8.99071 - 2.86129i) q^{77} +(4.85826 - 3.92394i) q^{78} +(-4.48152 - 7.76223i) q^{79} +(-0.533030 - 1.98929i) q^{80} +(-3.77641 - 8.16938i) q^{81} +(6.45449 - 3.72650i) q^{82} +(-8.13092 + 8.13092i) q^{83} +(3.80130 + 2.55931i) q^{84} +(-10.3287 + 10.3287i) q^{85} +(0.110906 - 0.413907i) q^{86} +(-0.283066 - 0.516979i) q^{87} +(3.08834 + 1.78305i) q^{88} +(-0.601969 + 2.24658i) q^{89} +(-5.48505 + 2.84375i) q^{90} +(9.45932 + 1.23338i) q^{91} -6.25938i q^{92} +(10.7733 - 10.2960i) q^{93} +(-0.779084 + 1.34941i) q^{94} +(-5.93818 + 10.2852i) q^{95} +(-1.19669 - 1.25217i) q^{96} +(11.9267 + 11.9267i) q^{97} +(1.17854 + 6.90007i) q^{98} +(3.23401 - 10.1978i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −1.51923 + 0.831834i −0.877126 + 0.480259i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −1.98929 0.533030i −0.889640 0.238378i −0.215078 0.976597i \(-0.569001\pi\)
−0.674561 + 0.738219i \(0.735667\pi\)
\(6\) −1.68276 + 0.410285i −0.686982 + 0.167498i
\(7\) −2.22758 1.42754i −0.841947 0.539560i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 1.61610 2.52749i 0.538702 0.842497i
\(10\) −1.78355 1.02973i −0.564009 0.325631i
\(11\) 3.44459 0.922976i 1.03858 0.278288i 0.301058 0.953606i \(-0.402660\pi\)
0.737527 + 0.675318i \(0.235994\pi\)
\(12\) −1.73161 0.0392246i −0.499872 0.0113232i
\(13\) −3.26173 + 1.53659i −0.904642 + 0.426172i
\(14\) −1.78221 1.95544i −0.476315 0.522613i
\(15\) 3.46558 0.844969i 0.894810 0.218170i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 3.54630 6.14237i 0.860104 1.48974i −0.0117245 0.999931i \(-0.503732\pi\)
0.871828 0.489812i \(-0.162935\pi\)
\(18\) 2.21520 2.02309i 0.522128 0.476847i
\(19\) 1.49254 5.57022i 0.342411 1.27790i −0.553197 0.833051i \(-0.686592\pi\)
0.895608 0.444845i \(-0.146741\pi\)
\(20\) −1.45626 1.45626i −0.325631 0.325631i
\(21\) 4.57168 + 0.315779i 0.997623 + 0.0689087i
\(22\) 3.56611 0.760297
\(23\) −3.12969 5.42078i −0.652585 1.13031i −0.982493 0.186298i \(-0.940351\pi\)
0.329908 0.944013i \(-0.392982\pi\)
\(24\) −1.66245 0.486061i −0.339346 0.0992167i
\(25\) −0.656955 0.379293i −0.131391 0.0758587i
\(26\) −3.54829 + 0.640028i −0.695877 + 0.125520i
\(27\) −0.352780 + 5.18416i −0.0678925 + 0.997693i
\(28\) −1.21537 2.35008i −0.229684 0.444123i
\(29\) 0.340291i 0.0631904i 0.999501 + 0.0315952i \(0.0100587\pi\)
−0.999501 + 0.0315952i \(0.989941\pi\)
\(30\) 3.56619 + 0.0807818i 0.651094 + 0.0147487i
\(31\) −8.31053 + 2.22680i −1.49261 + 0.399945i −0.910619 0.413247i \(-0.864395\pi\)
−0.581996 + 0.813192i \(0.697728\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −4.46536 + 4.26754i −0.777319 + 0.742884i
\(34\) 5.01522 5.01522i 0.860104 0.860104i
\(35\) 3.67040 + 4.02717i 0.620410 + 0.680715i
\(36\) 2.66333 1.38082i 0.443889 0.230136i
\(37\) 7.50999 + 2.01230i 1.23463 + 0.330819i 0.816382 0.577512i \(-0.195976\pi\)
0.418252 + 0.908331i \(0.362643\pi\)
\(38\) 2.88336 4.99412i 0.467742 0.810153i
\(39\) 3.67713 5.04764i 0.588812 0.808270i
\(40\) −1.02973 1.78355i −0.162815 0.282004i
\(41\) 5.27007 5.27007i 0.823047 0.823047i −0.163497 0.986544i \(-0.552277\pi\)
0.986544 + 0.163497i \(0.0522775\pi\)
\(42\) 4.33418 + 1.48826i 0.668778 + 0.229643i
\(43\) 0.428508i 0.0653469i −0.999466 0.0326735i \(-0.989598\pi\)
0.999466 0.0326735i \(-0.0104021\pi\)
\(44\) 3.44459 + 0.922976i 0.519292 + 0.139144i
\(45\) −4.56214 + 4.16649i −0.680083 + 0.621104i
\(46\) −1.62005 6.04610i −0.238863 0.891448i
\(47\) −0.403284 + 1.50508i −0.0588250 + 0.219538i −0.989081 0.147373i \(-0.952918\pi\)
0.930256 + 0.366911i \(0.119585\pi\)
\(48\) −1.48000 0.899773i −0.213620 0.129871i
\(49\) 2.92426 + 6.35993i 0.417751 + 0.908562i
\(50\) −0.536402 0.536402i −0.0758587 0.0758587i
\(51\) −0.278204 + 12.2816i −0.0389564 + 1.71977i
\(52\) −3.59304 0.300145i −0.498265 0.0416226i
\(53\) −5.74215 3.31523i −0.788745 0.455382i 0.0507753 0.998710i \(-0.483831\pi\)
−0.839521 + 0.543328i \(0.817164\pi\)
\(54\) −1.68252 + 4.91621i −0.228962 + 0.669012i
\(55\) −7.34429 −0.990303
\(56\) −0.565716 2.58456i −0.0755970 0.345377i
\(57\) 2.36599 + 9.70397i 0.313384 + 1.28532i
\(58\) −0.0880738 + 0.328696i −0.0115647 + 0.0431599i
\(59\) −1.94912 + 0.522265i −0.253754 + 0.0679931i −0.383453 0.923560i \(-0.625265\pi\)
0.129700 + 0.991553i \(0.458599\pi\)
\(60\) 3.42377 + 1.00103i 0.442006 + 0.129232i
\(61\) −0.887540 1.53726i −0.113638 0.196827i 0.803597 0.595174i \(-0.202917\pi\)
−0.917234 + 0.398348i \(0.869584\pi\)
\(62\) −8.60369 −1.09267
\(63\) −7.20810 + 3.32314i −0.908136 + 0.418676i
\(64\) 1.00000i 0.125000i
\(65\) 7.30759 1.31812i 0.906396 0.163493i
\(66\) −5.41773 + 2.96641i −0.666876 + 0.365140i
\(67\) −11.7315 + 3.14344i −1.43323 + 0.384032i −0.890156 0.455656i \(-0.849405\pi\)
−0.543070 + 0.839688i \(0.682738\pi\)
\(68\) 6.14237 3.54630i 0.744872 0.430052i
\(69\) 9.26390 + 5.63202i 1.11524 + 0.678015i
\(70\) 2.50302 + 4.83991i 0.299169 + 0.578480i
\(71\) −1.49159 + 1.49159i −0.177020 + 0.177020i −0.790055 0.613036i \(-0.789948\pi\)
0.613036 + 0.790055i \(0.289948\pi\)
\(72\) 2.92996 0.644446i 0.345300 0.0759487i
\(73\) −1.14879 4.28734i −0.134455 0.501795i −1.00000 0.000961865i \(-0.999694\pi\)
0.865544 0.500833i \(-0.166973\pi\)
\(74\) 6.73327 + 3.88746i 0.782727 + 0.451908i
\(75\) 1.31357 + 0.0297552i 0.151678 + 0.00343584i
\(76\) 4.07768 4.07768i 0.467742 0.467742i
\(77\) −8.99071 2.86129i −1.02459 0.326074i
\(78\) 4.85826 3.92394i 0.550090 0.444298i
\(79\) −4.48152 7.76223i −0.504211 0.873319i −0.999988 0.00486899i \(-0.998450\pi\)
0.495777 0.868450i \(-0.334883\pi\)
\(80\) −0.533030 1.98929i −0.0595945 0.222410i
\(81\) −3.77641 8.16938i −0.419601 0.907709i
\(82\) 6.45449 3.72650i 0.712779 0.411523i
\(83\) −8.13092 + 8.13092i −0.892484 + 0.892484i −0.994756 0.102272i \(-0.967389\pi\)
0.102272 + 0.994756i \(0.467389\pi\)
\(84\) 3.80130 + 2.55931i 0.414756 + 0.279244i
\(85\) −10.3287 + 10.3287i −1.12030 + 1.12030i
\(86\) 0.110906 0.413907i 0.0119593 0.0446328i
\(87\) −0.283066 0.516979i −0.0303478 0.0554260i
\(88\) 3.08834 + 1.78305i 0.329218 + 0.190074i
\(89\) −0.601969 + 2.24658i −0.0638085 + 0.238137i −0.990463 0.137777i \(-0.956004\pi\)
0.926655 + 0.375913i \(0.122671\pi\)
\(90\) −5.48505 + 2.84375i −0.578175 + 0.299758i
\(91\) 9.45932 + 1.23338i 0.991606 + 0.129294i
\(92\) 6.25938i 0.652585i
\(93\) 10.7733 10.2960i 1.11713 1.06764i
\(94\) −0.779084 + 1.34941i −0.0803564 + 0.139181i
\(95\) −5.93818 + 10.2852i −0.609245 + 1.05524i
\(96\) −1.19669 1.25217i −0.122137 0.127799i
\(97\) 11.9267 + 11.9267i 1.21097 + 1.21097i 0.970708 + 0.240261i \(0.0772332\pi\)
0.240261 + 0.970708i \(0.422767\pi\)
\(98\) 1.17854 + 6.90007i 0.119051 + 0.697013i
\(99\) 3.23401 10.1978i 0.325031 1.02492i
\(100\) −0.379293 0.656955i −0.0379293 0.0656955i
\(101\) 9.58488 16.6015i 0.953731 1.65191i 0.216484 0.976286i \(-0.430541\pi\)
0.737246 0.675624i \(-0.236126\pi\)
\(102\) −3.44743 + 11.7911i −0.341347 + 1.16749i
\(103\) −6.96843 + 4.02323i −0.686620 + 0.396420i −0.802345 0.596861i \(-0.796414\pi\)
0.115724 + 0.993281i \(0.463081\pi\)
\(104\) −3.39292 1.21986i −0.332704 0.119618i
\(105\) −8.92610 3.06502i −0.871098 0.299115i
\(106\) −4.68845 4.68845i −0.455382 0.455382i
\(107\) −0.729345 + 0.421088i −0.0705085 + 0.0407081i −0.534840 0.844954i \(-0.679628\pi\)
0.464331 + 0.885662i \(0.346295\pi\)
\(108\) −2.89760 + 4.31323i −0.278821 + 0.415040i
\(109\) 12.8052 3.43114i 1.22651 0.328643i 0.413293 0.910598i \(-0.364379\pi\)
0.813221 + 0.581955i \(0.197712\pi\)
\(110\) −7.09404 1.90084i −0.676390 0.181238i
\(111\) −13.0833 + 3.18993i −1.24181 + 0.302775i
\(112\) 0.122494 2.64291i 0.0115746 0.249732i
\(113\) 2.28160i 0.214635i −0.994225 0.107317i \(-0.965774\pi\)
0.994225 0.107317i \(-0.0342261\pi\)
\(114\) −0.226197 + 9.98568i −0.0211853 + 0.935245i
\(115\) 3.33644 + 12.4517i 0.311124 + 1.16113i
\(116\) −0.170145 + 0.294701i −0.0157976 + 0.0273623i
\(117\) −1.38760 + 10.7273i −0.128284 + 0.991738i
\(118\) −2.01788 −0.185761
\(119\) −16.6682 + 8.62016i −1.52797 + 0.790208i
\(120\) 3.04802 + 1.85305i 0.278245 + 0.169160i
\(121\) 1.48707 0.858559i 0.135188 0.0780508i
\(122\) −0.459425 1.71460i −0.0415943 0.155232i
\(123\) −3.62261 + 12.3903i −0.326640 + 1.11719i
\(124\) −8.31053 2.22680i −0.746307 0.199972i
\(125\) 8.38603 + 8.38603i 0.750069 + 0.750069i
\(126\) −7.82258 + 1.34431i −0.696891 + 0.119761i
\(127\) 7.84238i 0.695899i −0.937513 0.347949i \(-0.886878\pi\)
0.937513 0.347949i \(-0.113122\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 0.356448 + 0.651002i 0.0313835 + 0.0573175i
\(130\) 7.39975 + 0.618140i 0.649001 + 0.0542144i
\(131\) 11.9026 6.87197i 1.03994 0.600407i 0.120120 0.992759i \(-0.461672\pi\)
0.919815 + 0.392352i \(0.128339\pi\)
\(132\) −6.00089 + 1.46312i −0.522310 + 0.127348i
\(133\) −11.2765 + 10.2775i −0.977793 + 0.891170i
\(134\) −12.1453 −1.04919
\(135\) 3.46510 10.1248i 0.298228 0.871403i
\(136\) 6.85092 1.83570i 0.587462 0.157410i
\(137\) −11.2765 + 3.02154i −0.963419 + 0.258147i −0.706047 0.708165i \(-0.749523\pi\)
−0.257372 + 0.966312i \(0.582857\pi\)
\(138\) 7.49057 + 7.83779i 0.637639 + 0.667197i
\(139\) 21.4052 1.81557 0.907784 0.419437i \(-0.137773\pi\)
0.907784 + 0.419437i \(0.137773\pi\)
\(140\) 1.16507 + 5.32283i 0.0984668 + 0.449861i
\(141\) −0.639293 2.62202i −0.0538382 0.220814i
\(142\) −1.82682 + 1.05472i −0.153303 + 0.0885098i
\(143\) −9.81712 + 8.30342i −0.820949 + 0.694367i
\(144\) 2.99692 + 0.135843i 0.249744 + 0.0113203i
\(145\) 0.181385 0.676939i 0.0150632 0.0562167i
\(146\) 4.43858i 0.367339i
\(147\) −9.73302 7.22969i −0.802766 0.596294i
\(148\) 5.49769 + 5.49769i 0.451908 + 0.451908i
\(149\) 8.39308 + 2.24892i 0.687588 + 0.184239i 0.585665 0.810554i \(-0.300834\pi\)
0.101924 + 0.994792i \(0.467500\pi\)
\(150\) 1.26111 + 0.368719i 0.102970 + 0.0301058i
\(151\) 1.18588 + 4.42576i 0.0965055 + 0.360163i 0.997243 0.0741996i \(-0.0236402\pi\)
−0.900738 + 0.434363i \(0.856974\pi\)
\(152\) 4.99412 2.88336i 0.405077 0.233871i
\(153\) −9.79358 18.8899i −0.791764 1.52716i
\(154\) −7.94380 5.09076i −0.640130 0.410225i
\(155\) 17.7190 1.42323
\(156\) 5.70831 2.53282i 0.457031 0.202788i
\(157\) −0.998255 + 1.72903i −0.0796694 + 0.137992i −0.903107 0.429415i \(-0.858720\pi\)
0.823438 + 0.567406i \(0.192053\pi\)
\(158\) −2.31981 8.65764i −0.184554 0.688765i
\(159\) 11.4814 + 0.260077i 0.910531 + 0.0206255i
\(160\) 2.05947i 0.162815i
\(161\) −0.766739 + 16.5430i −0.0604275 + 1.30377i
\(162\) −1.53334 8.86842i −0.120471 0.696769i
\(163\) 16.3399 + 4.37826i 1.27984 + 0.342932i 0.833792 0.552078i \(-0.186165\pi\)
0.446046 + 0.895010i \(0.352832\pi\)
\(164\) 7.19905 1.92898i 0.562151 0.150628i
\(165\) 11.1576 6.10923i 0.868621 0.475603i
\(166\) −9.95830 + 5.74943i −0.772914 + 0.446242i
\(167\) −5.20220 5.20220i −0.402558 0.402558i 0.476575 0.879134i \(-0.341878\pi\)
−0.879134 + 0.476575i \(0.841878\pi\)
\(168\) 3.00938 + 3.45596i 0.232179 + 0.266633i
\(169\) 8.27781 10.0239i 0.636755 0.771066i
\(170\) −12.6500 + 7.30349i −0.970212 + 0.560152i
\(171\) −11.6666 12.7744i −0.892165 0.976885i
\(172\) 0.214254 0.371099i 0.0163367 0.0282960i
\(173\) −7.84476 13.5875i −0.596426 1.03304i −0.993344 0.115186i \(-0.963254\pi\)
0.396918 0.917854i \(-0.370080\pi\)
\(174\) −0.139616 0.572627i −0.0105843 0.0434107i
\(175\) 0.921967 + 1.78274i 0.0696941 + 0.134762i
\(176\) 2.52162 + 2.52162i 0.190074 + 0.190074i
\(177\) 2.52672 2.41478i 0.189920 0.181506i
\(178\) −1.16291 + 2.01423i −0.0871641 + 0.150973i
\(179\) 1.69754 2.94023i 0.126880 0.219763i −0.795586 0.605841i \(-0.792837\pi\)
0.922466 + 0.386078i \(0.126170\pi\)
\(180\) −6.03417 + 1.32722i −0.449761 + 0.0989249i
\(181\) 21.4107i 1.59145i 0.605661 + 0.795723i \(0.292909\pi\)
−0.605661 + 0.795723i \(0.707091\pi\)
\(182\) 8.81778 + 3.63961i 0.653617 + 0.269786i
\(183\) 2.62712 + 1.59717i 0.194203 + 0.118066i
\(184\) 1.62005 6.04610i 0.119431 0.445724i
\(185\) −13.8670 8.00610i −1.01952 0.588620i
\(186\) 13.0710 7.15684i 0.958409 0.524765i
\(187\) 6.54630 24.4311i 0.478713 1.78658i
\(188\) −1.10179 + 1.10179i −0.0803564 + 0.0803564i
\(189\) 8.18645 11.0445i 0.595476 0.803373i
\(190\) −8.39786 + 8.39786i −0.609245 + 0.609245i
\(191\) −6.36942 + 3.67739i −0.460875 + 0.266086i −0.712412 0.701761i \(-0.752397\pi\)
0.251537 + 0.967848i \(0.419064\pi\)
\(192\) −0.831834 1.51923i −0.0600324 0.109641i
\(193\) 2.39902 + 8.95326i 0.172685 + 0.644470i 0.996934 + 0.0782426i \(0.0249309\pi\)
−0.824249 + 0.566227i \(0.808402\pi\)
\(194\) 8.43343 + 14.6071i 0.605485 + 1.04873i
\(195\) −10.0054 + 8.08123i −0.716505 + 0.578709i
\(196\) −0.647484 + 6.96999i −0.0462489 + 0.497856i
\(197\) 13.6917 13.6917i 0.975490 0.975490i −0.0242167 0.999707i \(-0.507709\pi\)
0.999707 + 0.0242167i \(0.00770917\pi\)
\(198\) 5.76320 9.01330i 0.409573 0.640547i
\(199\) −5.65413 3.26442i −0.400811 0.231408i 0.286023 0.958223i \(-0.407667\pi\)
−0.686834 + 0.726814i \(0.741000\pi\)
\(200\) −0.196337 0.732739i −0.0138831 0.0518124i
\(201\) 15.2079 14.5342i 1.07269 1.02516i
\(202\) 13.5551 13.5551i 0.953731 0.953731i
\(203\) 0.485779 0.758027i 0.0340950 0.0532030i
\(204\) −6.38173 + 10.4971i −0.446810 + 0.734941i
\(205\) −13.2928 + 7.67462i −0.928411 + 0.536018i
\(206\) −7.77228 + 2.08258i −0.541520 + 0.145100i
\(207\) −18.7589 0.850293i −1.30383 0.0590995i
\(208\) −2.96159 2.05645i −0.205349 0.142589i
\(209\) 20.5647i 1.42249i
\(210\) −7.82867 5.27083i −0.540229 0.363722i
\(211\) −8.69638 −0.598683 −0.299342 0.954146i \(-0.596767\pi\)
−0.299342 + 0.954146i \(0.596767\pi\)
\(212\) −3.31523 5.74215i −0.227691 0.394373i
\(213\) 1.02531 3.50683i 0.0702532 0.240284i
\(214\) −0.813479 + 0.217971i −0.0556083 + 0.0149002i
\(215\) −0.228408 + 0.852429i −0.0155773 + 0.0581352i
\(216\) −3.91521 + 3.41630i −0.266396 + 0.232450i
\(217\) 21.6912 + 6.90323i 1.47250 + 0.468622i
\(218\) 13.2569 0.897870
\(219\) 5.31162 + 5.55784i 0.358926 + 0.375564i
\(220\) −6.36034 3.67214i −0.428814 0.247576i
\(221\) −2.12881 + 25.4840i −0.143199 + 1.71424i
\(222\) −13.4631 0.304968i −0.903583 0.0204681i
\(223\) 2.74582 + 2.74582i 0.183874 + 0.183874i 0.793041 0.609168i \(-0.208496\pi\)
−0.609168 + 0.793041i \(0.708496\pi\)
\(224\) 0.802357 2.52116i 0.0536097 0.168452i
\(225\) −2.02037 + 1.04747i −0.134691 + 0.0698314i
\(226\) 0.590522 2.20386i 0.0392809 0.146598i
\(227\) −3.90799 14.5848i −0.259383 0.968029i −0.965600 0.260034i \(-0.916266\pi\)
0.706217 0.707996i \(-0.250400\pi\)
\(228\) −2.80297 + 9.58688i −0.185631 + 0.634907i
\(229\) 1.17491 + 0.314817i 0.0776406 + 0.0208037i 0.297430 0.954744i \(-0.403870\pi\)
−0.219790 + 0.975547i \(0.570537\pi\)
\(230\) 12.8910i 0.850007i
\(231\) 16.0391 3.13182i 1.05529 0.206059i
\(232\) −0.240622 + 0.240622i −0.0157976 + 0.0157976i
\(233\) −3.06855 5.31488i −0.201027 0.348189i 0.747833 0.663887i \(-0.231095\pi\)
−0.948860 + 0.315698i \(0.897761\pi\)
\(234\) −4.11674 + 10.0026i −0.269120 + 0.653892i
\(235\) 1.60450 2.77908i 0.104666 0.181287i
\(236\) −1.94912 0.522265i −0.126877 0.0339966i
\(237\) 13.2653 + 8.06471i 0.861676 + 0.523859i
\(238\) −18.3313 + 4.01240i −1.18824 + 0.260085i
\(239\) 2.53094 2.53094i 0.163713 0.163713i −0.620496 0.784209i \(-0.713069\pi\)
0.784209 + 0.620496i \(0.213069\pi\)
\(240\) 2.46456 + 2.57880i 0.159086 + 0.166461i
\(241\) −2.81958 10.5228i −0.181625 0.677834i −0.995328 0.0965526i \(-0.969218\pi\)
0.813703 0.581281i \(-0.197448\pi\)
\(242\) 1.65861 0.444423i 0.106619 0.0285686i
\(243\) 12.5328 + 9.26980i 0.803979 + 0.594658i
\(244\) 1.77508i 0.113638i
\(245\) −2.42718 14.2105i −0.155067 0.907875i
\(246\) −6.70601 + 11.0305i −0.427560 + 0.703277i
\(247\) 3.69086 + 20.4620i 0.234844 + 1.30196i
\(248\) −7.45101 4.30184i −0.473140 0.273167i
\(249\) 5.58914 19.1163i 0.354198 1.21145i
\(250\) 5.92982 + 10.2707i 0.375034 + 0.649579i
\(251\) 11.3906 0.718967 0.359483 0.933151i \(-0.382953\pi\)
0.359483 + 0.933151i \(0.382953\pi\)
\(252\) −7.90397 0.726128i −0.497903 0.0457418i
\(253\) −15.7838 15.7838i −0.992317 0.992317i
\(254\) 2.02976 7.57516i 0.127358 0.475308i
\(255\) 7.09988 24.2834i 0.444612 1.52069i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −3.02138 5.23318i −0.188468 0.326437i 0.756271 0.654258i \(-0.227019\pi\)
−0.944740 + 0.327821i \(0.893686\pi\)
\(258\) 0.175810 + 0.721075i 0.0109455 + 0.0448922i
\(259\) −13.8565 15.2034i −0.861001 0.944691i
\(260\) 6.98762 + 2.51227i 0.433354 + 0.155805i
\(261\) 0.860082 + 0.549946i 0.0532377 + 0.0340408i
\(262\) 13.2756 3.55719i 0.820171 0.219764i
\(263\) 11.9684 + 6.90998i 0.738006 + 0.426088i 0.821344 0.570434i \(-0.193225\pi\)
−0.0833381 + 0.996521i \(0.526558\pi\)
\(264\) −6.17509 0.139879i −0.380051 0.00860896i
\(265\) 9.65571 + 9.65571i 0.593146 + 0.593146i
\(266\) −13.5522 + 7.00871i −0.830940 + 0.429732i
\(267\) −0.954252 3.91380i −0.0583993 0.239521i
\(268\) −11.7315 3.14344i −0.716613 0.192016i
\(269\) 18.7675 + 10.8354i 1.14428 + 0.660648i 0.947486 0.319798i \(-0.103615\pi\)
0.196790 + 0.980446i \(0.436948\pi\)
\(270\) 5.96751 8.88296i 0.363171 0.540600i
\(271\) −2.53065 0.678087i −0.153726 0.0411908i 0.181135 0.983458i \(-0.442023\pi\)
−0.334861 + 0.942267i \(0.608690\pi\)
\(272\) 7.09260 0.430052
\(273\) −15.3968 + 5.99479i −0.931859 + 0.362821i
\(274\) −11.6743 −0.705271
\(275\) −2.61302 0.700158i −0.157571 0.0422211i
\(276\) 5.20676 + 9.50942i 0.313410 + 0.572400i
\(277\) −1.39339 0.804475i −0.0837208 0.0483362i 0.457555 0.889181i \(-0.348725\pi\)
−0.541276 + 0.840845i \(0.682059\pi\)
\(278\) 20.6759 + 5.54008i 1.24006 + 0.332272i
\(279\) −7.80247 + 24.6035i −0.467122 + 1.47297i
\(280\) −0.252273 + 5.44300i −0.0150762 + 0.325281i
\(281\) 7.24549 + 7.24549i 0.432230 + 0.432230i 0.889386 0.457156i \(-0.151132\pi\)
−0.457156 + 0.889386i \(0.651132\pi\)
\(282\) 0.0611185 2.69813i 0.00363955 0.160672i
\(283\) −9.21099 5.31797i −0.547537 0.316120i 0.200591 0.979675i \(-0.435714\pi\)
−0.748128 + 0.663555i \(0.769047\pi\)
\(284\) −2.03755 + 0.545961i −0.120907 + 0.0323968i
\(285\) 0.465846 20.5652i 0.0275943 1.21818i
\(286\) −11.6317 + 5.47963i −0.687796 + 0.324017i
\(287\) −19.2628 + 4.21628i −1.13704 + 0.248879i
\(288\) 2.85965 + 0.906875i 0.168506 + 0.0534381i
\(289\) −16.6525 28.8429i −0.979557 1.69664i
\(290\) 0.350409 0.606927i 0.0205767 0.0356400i
\(291\) −28.0403 8.19832i −1.64375 0.480594i
\(292\) 1.14879 4.28734i 0.0672277 0.250897i
\(293\) 13.4623 + 13.4623i 0.786477 + 0.786477i 0.980915 0.194438i \(-0.0622882\pi\)
−0.194438 + 0.980915i \(0.562288\pi\)
\(294\) −7.53019 9.50243i −0.439170 0.554193i
\(295\) 4.15576 0.241957
\(296\) 3.88746 + 6.73327i 0.225954 + 0.391363i
\(297\) 3.56968 + 18.1829i 0.207134 + 1.05508i
\(298\) 7.52503 + 4.34458i 0.435913 + 0.251675i
\(299\) 18.5377 + 12.8721i 1.07206 + 0.744413i
\(300\) 1.12271 + 0.682556i 0.0648197 + 0.0394074i
\(301\) −0.611713 + 0.954538i −0.0352586 + 0.0550187i
\(302\) 4.58188i 0.263658i
\(303\) −0.751925 + 33.1945i −0.0431970 + 1.90697i
\(304\) 5.57022 1.49254i 0.319474 0.0856028i
\(305\) 0.946171 + 3.53116i 0.0541776 + 0.202193i
\(306\) −4.57080 20.7811i −0.261295 1.18797i
\(307\) −19.3297 + 19.3297i −1.10320 + 1.10320i −0.109180 + 0.994022i \(0.534822\pi\)
−0.994022 + 0.109180i \(0.965178\pi\)
\(308\) −6.35554 6.97330i −0.362140 0.397341i
\(309\) 7.23998 11.9088i 0.411868 0.677467i
\(310\) 17.1153 + 4.58602i 0.972082 + 0.260469i
\(311\) 3.15032 5.45652i 0.178639 0.309411i −0.762776 0.646663i \(-0.776164\pi\)
0.941414 + 0.337252i \(0.109497\pi\)
\(312\) 6.16935 0.969097i 0.349271 0.0548643i
\(313\) 11.4585 + 19.8468i 0.647675 + 1.12181i 0.983677 + 0.179945i \(0.0575919\pi\)
−0.336002 + 0.941861i \(0.609075\pi\)
\(314\) −1.41175 + 1.41175i −0.0796694 + 0.0796694i
\(315\) 16.1104 2.76857i 0.907717 0.155991i
\(316\) 8.96305i 0.504211i
\(317\) −2.54191 0.681102i −0.142768 0.0382545i 0.186727 0.982412i \(-0.440212\pi\)
−0.329495 + 0.944157i \(0.606879\pi\)
\(318\) 11.0228 + 3.22281i 0.618130 + 0.180726i
\(319\) 0.314081 + 1.17216i 0.0175851 + 0.0656286i
\(320\) 0.533030 1.98929i 0.0297973 0.111205i
\(321\) 0.757766 1.24642i 0.0422944 0.0695685i
\(322\) −5.02226 + 15.7809i −0.279879 + 0.879433i
\(323\) −28.9214 28.9214i −1.60923 1.60923i
\(324\) 0.814222 8.96309i 0.0452346 0.497950i
\(325\) 2.72563 + 0.227686i 0.151191 + 0.0126298i
\(326\) 14.6499 + 8.45814i 0.811385 + 0.468453i
\(327\) −16.5998 + 15.8645i −0.917973 + 0.877307i
\(328\) 7.45300 0.411523
\(329\) 3.04690 2.77698i 0.167981 0.153100i
\(330\) 12.3586 3.01325i 0.680321 0.165874i
\(331\) −5.34427 + 19.9451i −0.293748 + 1.09628i 0.648459 + 0.761250i \(0.275414\pi\)
−0.942207 + 0.335032i \(0.891253\pi\)
\(332\) −11.1070 + 2.97612i −0.609578 + 0.163336i
\(333\) 17.2230 15.7293i 0.943814 0.861963i
\(334\) −3.67851 6.37136i −0.201279 0.348626i
\(335\) 25.0129 1.36660
\(336\) 2.01237 + 4.11708i 0.109784 + 0.224605i
\(337\) 34.3237i 1.86973i −0.354999 0.934867i \(-0.615519\pi\)
0.354999 0.934867i \(-0.384481\pi\)
\(338\) 10.5901 7.53985i 0.576027 0.410114i
\(339\) 1.89791 + 3.46627i 0.103080 + 0.188262i
\(340\) −14.1093 + 3.78057i −0.765182 + 0.205030i
\(341\) −26.5711 + 15.3408i −1.43891 + 0.830753i
\(342\) −7.96278 15.3587i −0.430578 0.830502i
\(343\) 2.56503 18.3418i 0.138499 0.990363i
\(344\) 0.303001 0.303001i 0.0163367 0.0163367i
\(345\) −15.4266 16.1417i −0.830540 0.869039i
\(346\) −4.06075 15.1549i −0.218307 0.814733i
\(347\) 11.7055 + 6.75818i 0.628385 + 0.362798i 0.780126 0.625622i \(-0.215155\pi\)
−0.151741 + 0.988420i \(0.548488\pi\)
\(348\) 0.0133478 0.589250i 0.000715516 0.0315871i
\(349\) 6.08708 6.08708i 0.325834 0.325834i −0.525166 0.851000i \(-0.675997\pi\)
0.851000 + 0.525166i \(0.175997\pi\)
\(350\) 0.429145 + 1.96062i 0.0229388 + 0.104799i
\(351\) −6.81523 17.4514i −0.363770 0.931489i
\(352\) 1.78305 + 3.08834i 0.0950371 + 0.164609i
\(353\) −6.18263 23.0739i −0.329068 1.22810i −0.910159 0.414260i \(-0.864040\pi\)
0.581090 0.813839i \(-0.302626\pi\)
\(354\) 3.06561 1.67854i 0.162936 0.0892133i
\(355\) 3.76228 2.17215i 0.199681 0.115286i
\(356\) −1.64461 + 1.64461i −0.0871641 + 0.0871641i
\(357\) 18.1522 26.9611i 0.960715 1.42693i
\(358\) 2.40069 2.40069i 0.126880 0.126880i
\(359\) 1.96581 7.33651i 0.103752 0.387206i −0.894449 0.447170i \(-0.852432\pi\)
0.998201 + 0.0599637i \(0.0190985\pi\)
\(360\) −6.17207 0.279765i −0.325297 0.0147449i
\(361\) −12.3452 7.12749i −0.649746 0.375131i
\(362\) −5.54150 + 20.6812i −0.291255 + 1.08698i
\(363\) −1.54502 + 2.54134i −0.0810923 + 0.133386i
\(364\) 7.57532 + 5.79780i 0.397055 + 0.303887i
\(365\) 9.14111i 0.478468i
\(366\) 2.12423 + 2.22270i 0.111035 + 0.116182i
\(367\) 6.10777 10.5790i 0.318823 0.552218i −0.661420 0.750016i \(-0.730046\pi\)
0.980243 + 0.197798i \(0.0633791\pi\)
\(368\) 3.12969 5.42078i 0.163146 0.282578i
\(369\) −4.80306 21.8370i −0.250037 1.13679i
\(370\) −11.3223 11.3223i −0.588620 0.588620i
\(371\) 8.05850 + 15.5821i 0.418376 + 0.808983i
\(372\) 14.4779 3.52996i 0.750644 0.183020i
\(373\) 2.63091 + 4.55686i 0.136223 + 0.235945i 0.926064 0.377366i \(-0.123170\pi\)
−0.789841 + 0.613312i \(0.789837\pi\)
\(374\) 12.6465 21.9043i 0.653934 1.13265i
\(375\) −19.7161 5.76450i −1.01813 0.297678i
\(376\) −1.34941 + 0.779084i −0.0695907 + 0.0401782i
\(377\) −0.522886 1.10994i −0.0269300 0.0571647i
\(378\) 10.7660 8.54941i 0.553745 0.439734i
\(379\) −10.6483 10.6483i −0.546967 0.546967i 0.378595 0.925562i \(-0.376407\pi\)
−0.925562 + 0.378595i \(0.876407\pi\)
\(380\) −10.2852 + 5.93818i −0.527622 + 0.304622i
\(381\) 6.52356 + 11.9144i 0.334212 + 0.610391i
\(382\) −7.10416 + 1.90355i −0.363481 + 0.0973943i
\(383\) 15.2019 + 4.07334i 0.776781 + 0.208138i 0.625365 0.780332i \(-0.284950\pi\)
0.151416 + 0.988470i \(0.451617\pi\)
\(384\) −0.410285 1.68276i −0.0209373 0.0858728i
\(385\) 16.3600 + 10.4843i 0.833783 + 0.534328i
\(386\) 9.26910i 0.471785i
\(387\) −1.08305 0.692515i −0.0550546 0.0352025i
\(388\) 4.36546 + 16.2921i 0.221623 + 0.827108i
\(389\) −7.87823 + 13.6455i −0.399442 + 0.691854i −0.993657 0.112452i \(-0.964129\pi\)
0.594215 + 0.804306i \(0.297463\pi\)
\(390\) −11.7561 + 5.21627i −0.595293 + 0.264136i
\(391\) −44.3953 −2.24516
\(392\) −2.42939 + 6.56491i −0.122703 + 0.331578i
\(393\) −12.3664 + 20.3411i −0.623804 + 1.02607i
\(394\) 16.7688 9.68146i 0.844799 0.487745i
\(395\) 4.77757 + 17.8301i 0.240386 + 0.897132i
\(396\) 7.89964 7.21455i 0.396972 0.362545i
\(397\) 9.76195 + 2.61571i 0.489938 + 0.131279i 0.495326 0.868707i \(-0.335048\pi\)
−0.00538814 + 0.999985i \(0.501715\pi\)
\(398\) −4.61658 4.61658i −0.231408 0.231408i
\(399\) 8.58236 24.9940i 0.429655 1.25126i
\(400\) 0.758587i 0.0379293i
\(401\) −8.56867 + 31.9787i −0.427899 + 1.59694i 0.329611 + 0.944117i \(0.393082\pi\)
−0.757510 + 0.652824i \(0.773584\pi\)
\(402\) 18.4515 10.1029i 0.920276 0.503885i
\(403\) 23.6851 20.0331i 1.17984 0.997918i
\(404\) 16.6015 9.58488i 0.825955 0.476865i
\(405\) 3.15787 + 18.2642i 0.156916 + 0.907557i
\(406\) 0.665418 0.606469i 0.0330242 0.0300985i
\(407\) 27.7262 1.37434
\(408\) −8.88111 + 8.48767i −0.439681 + 0.420202i
\(409\) 21.5139 5.76463i 1.06379 0.285042i 0.315852 0.948808i \(-0.397710\pi\)
0.747940 + 0.663766i \(0.231043\pi\)
\(410\) −14.8262 + 3.97267i −0.732215 + 0.196196i
\(411\) 14.6182 13.9706i 0.721062 0.689119i
\(412\) −8.04646 −0.396420
\(413\) 5.08738 + 1.61906i 0.250334 + 0.0796686i
\(414\) −17.8996 5.67648i −0.879718 0.278984i
\(415\) 20.5088 11.8408i 1.00674 0.581240i
\(416\) −2.32843 2.75290i −0.114160 0.134972i
\(417\) −32.5194 + 17.8056i −1.59248 + 0.871944i
\(418\) 5.32254 19.8640i 0.260334 0.971580i
\(419\) 2.14134i 0.104611i −0.998631 0.0523057i \(-0.983343\pi\)
0.998631 0.0523057i \(-0.0166570\pi\)
\(420\) −6.19772 7.11744i −0.302418 0.347295i
\(421\) −4.67526 4.67526i −0.227858 0.227858i 0.583939 0.811797i \(-0.301511\pi\)
−0.811797 + 0.583939i \(0.801511\pi\)
\(422\) −8.40006 2.25079i −0.408908 0.109567i
\(423\) 3.15231 + 3.45165i 0.153271 + 0.167825i
\(424\) −1.71609 6.40454i −0.0833408 0.311032i
\(425\) −4.65952 + 2.69018i −0.226020 + 0.130493i
\(426\) 1.89801 3.12197i 0.0919589 0.151260i
\(427\) −0.217437 + 4.69138i −0.0105225 + 0.227032i
\(428\) −0.842175 −0.0407081
\(429\) 8.00738 20.7810i 0.386600 1.00332i
\(430\) −0.441250 + 0.764267i −0.0212790 + 0.0368562i
\(431\) 5.81075 + 21.6860i 0.279894 + 1.04458i 0.952490 + 0.304569i \(0.0985124\pi\)
−0.672596 + 0.740009i \(0.734821\pi\)
\(432\) −4.66601 + 2.28657i −0.224493 + 0.110012i
\(433\) 21.9443i 1.05458i −0.849687 0.527288i \(-0.823209\pi\)
0.849687 0.527288i \(-0.176791\pi\)
\(434\) 19.1654 + 12.2821i 0.919970 + 0.589560i
\(435\) 0.287535 + 1.17931i 0.0137863 + 0.0565434i
\(436\) 12.8052 + 3.43114i 0.613257 + 0.164322i
\(437\) −34.8661 + 9.34235i −1.66787 + 0.446905i
\(438\) 3.69216 + 6.74321i 0.176418 + 0.322203i
\(439\) −5.76484 + 3.32833i −0.275141 + 0.158853i −0.631222 0.775603i \(-0.717446\pi\)
0.356081 + 0.934455i \(0.384113\pi\)
\(440\) −5.19319 5.19319i −0.247576 0.247576i
\(441\) 20.8006 + 2.88729i 0.990503 + 0.137490i
\(442\) −8.65200 + 24.0646i −0.411534 + 1.14464i
\(443\) 12.0003 6.92836i 0.570150 0.329176i −0.187059 0.982349i \(-0.559896\pi\)
0.757209 + 0.653172i \(0.226562\pi\)
\(444\) −12.9254 3.77908i −0.613413 0.179347i
\(445\) 2.39499 4.14824i 0.113533 0.196645i
\(446\) 1.94159 + 3.36293i 0.0919369 + 0.159239i
\(447\) −14.6217 + 3.56503i −0.691584 + 0.168620i
\(448\) 1.42754 2.22758i 0.0674449 0.105243i
\(449\) 0.760702 + 0.760702i 0.0358998 + 0.0358998i 0.724829 0.688929i \(-0.241919\pi\)
−0.688929 + 0.724829i \(0.741919\pi\)
\(450\) −2.22263 + 0.488869i −0.104776 + 0.0230455i
\(451\) 13.2891 23.0174i 0.625759 1.08385i
\(452\) 1.14080 1.97592i 0.0536587 0.0929397i
\(453\) −5.48312 5.73728i −0.257619 0.269561i
\(454\) 15.0993i 0.708647i
\(455\) −18.1599 7.49567i −0.851351 0.351402i
\(456\) −5.18873 + 8.53475i −0.242985 + 0.399676i
\(457\) −4.74912 + 17.7240i −0.222155 + 0.829092i 0.761370 + 0.648318i \(0.224527\pi\)
−0.983525 + 0.180775i \(0.942140\pi\)
\(458\) 1.05340 + 0.608181i 0.0492221 + 0.0284184i
\(459\) 30.5920 + 20.5515i 1.42791 + 0.959261i
\(460\) −3.33644 + 12.4517i −0.155562 + 0.580566i
\(461\) −12.6810 + 12.6810i −0.590615 + 0.590615i −0.937797 0.347183i \(-0.887138\pi\)
0.347183 + 0.937797i \(0.387138\pi\)
\(462\) 16.3031 + 1.12610i 0.758489 + 0.0523910i
\(463\) −18.1175 + 18.1175i −0.841992 + 0.841992i −0.989118 0.147126i \(-0.952998\pi\)
0.147126 + 0.989118i \(0.452998\pi\)
\(464\) −0.294701 + 0.170145i −0.0136811 + 0.00789881i
\(465\) −26.9192 + 14.7393i −1.24835 + 0.683518i
\(466\) −1.58840 5.92797i −0.0735810 0.274608i
\(467\) −12.7135 22.0204i −0.588310 1.01898i −0.994454 0.105174i \(-0.966460\pi\)
0.406144 0.913809i \(-0.366873\pi\)
\(468\) −6.56534 + 8.59630i −0.303483 + 0.397364i
\(469\) 30.6202 + 9.74487i 1.41391 + 0.449976i
\(470\) 2.26911 2.26911i 0.104666 0.104666i
\(471\) 0.0783123 3.45717i 0.00360844 0.159298i
\(472\) −1.74753 1.00894i −0.0804367 0.0464402i
\(473\) −0.395503 1.47604i −0.0181853 0.0678683i
\(474\) 10.7260 + 11.2232i 0.492663 + 0.515500i
\(475\) −3.09328 + 3.09328i −0.141929 + 0.141929i
\(476\) −18.7451 0.868803i −0.859181 0.0398215i
\(477\) −17.6591 + 9.15547i −0.808557 + 0.419200i
\(478\) 3.09975 1.78964i 0.141779 0.0818564i
\(479\) 13.3811 3.58545i 0.611397 0.163823i 0.0601830 0.998187i \(-0.480832\pi\)
0.551214 + 0.834364i \(0.314165\pi\)
\(480\) 1.71314 + 3.12880i 0.0781936 + 0.142810i
\(481\) −27.5876 + 4.97617i −1.25789 + 0.226894i
\(482\) 10.8940i 0.496209i
\(483\) −12.5962 25.7704i −0.573146 1.17259i
\(484\) 1.71712 0.0780508
\(485\) −17.3684 30.0829i −0.788658 1.36600i
\(486\) 9.70654 + 12.1977i 0.440298 + 0.553297i
\(487\) 13.6294 3.65198i 0.617606 0.165487i 0.0635670 0.997978i \(-0.479752\pi\)
0.554039 + 0.832490i \(0.313086\pi\)
\(488\) 0.459425 1.71460i 0.0207972 0.0776161i
\(489\) −28.4660 + 6.94050i −1.28728 + 0.313860i
\(490\) 1.33347 14.3545i 0.0602402 0.648469i
\(491\) −33.7611 −1.52362 −0.761809 0.647802i \(-0.775688\pi\)
−0.761809 + 0.647802i \(0.775688\pi\)
\(492\) −9.33240 + 8.91897i −0.420737 + 0.402098i
\(493\) 2.09019 + 1.20677i 0.0941375 + 0.0543503i
\(494\) −1.73085 + 20.7200i −0.0778747 + 0.932237i
\(495\) −11.8691 + 18.5626i −0.533478 + 0.834327i
\(496\) −6.08373 6.08373i −0.273167 0.273167i
\(497\) 5.45196 1.19334i 0.244554 0.0535286i
\(498\) 10.3464 17.0183i 0.463631 0.762610i
\(499\) 2.17585 8.12039i 0.0974045 0.363519i −0.899968 0.435955i \(-0.856411\pi\)
0.997373 + 0.0724362i \(0.0230774\pi\)
\(500\) 3.06950 + 11.4555i 0.137272 + 0.512307i
\(501\) 12.2307 + 3.57596i 0.546427 + 0.159762i
\(502\) 11.0025 + 2.94810i 0.491064 + 0.131580i
\(503\) 15.3123i 0.682741i −0.939929 0.341371i \(-0.889109\pi\)
0.939929 0.341371i \(-0.110891\pi\)
\(504\) −7.44671 2.74708i −0.331703 0.122365i
\(505\) −27.9162 + 27.9162i −1.24226 + 1.24226i
\(506\) −11.1608 19.3311i −0.496158 0.859372i
\(507\) −4.23769 + 22.1143i −0.188203 + 0.982130i
\(508\) 3.92119 6.79170i 0.173975 0.301333i
\(509\) 38.1303 + 10.2170i 1.69010 + 0.452860i 0.970415 0.241444i \(-0.0776212\pi\)
0.719681 + 0.694304i \(0.244288\pi\)
\(510\) 13.1430 21.6184i 0.581980 0.957278i
\(511\) −3.56132 + 11.1903i −0.157544 + 0.495031i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 28.3504 + 9.70261i 1.25170 + 0.428381i
\(514\) −1.56398 5.83685i −0.0689842 0.257452i
\(515\) 16.0068 4.28900i 0.705343 0.188996i
\(516\) −0.0168081 + 0.742008i −0.000739934 + 0.0326651i
\(517\) 5.55660i 0.244379i
\(518\) −9.44943 18.2717i −0.415184 0.802810i
\(519\) 23.2205 + 14.1170i 1.01927 + 0.619668i
\(520\) 6.09930 + 4.23520i 0.267472 + 0.185726i
\(521\) 4.76089 + 2.74870i 0.208579 + 0.120423i 0.600651 0.799512i \(-0.294908\pi\)
−0.392072 + 0.919935i \(0.628242\pi\)
\(522\) 0.688439 + 0.753813i 0.0301322 + 0.0329935i
\(523\) 19.2984 + 33.4258i 0.843860 + 1.46161i 0.886607 + 0.462523i \(0.153056\pi\)
−0.0427471 + 0.999086i \(0.513611\pi\)
\(524\) 13.7439 0.600407
\(525\) −2.88362 1.94146i −0.125851 0.0847324i
\(526\) 9.77219 + 9.77219i 0.426088 + 0.426088i
\(527\) −15.7938 + 58.9432i −0.687988 + 2.56761i
\(528\) −5.92848 1.73334i −0.258004 0.0754341i
\(529\) −8.08992 + 14.0121i −0.351736 + 0.609224i
\(530\) 6.82762 + 11.8258i 0.296573 + 0.513679i
\(531\) −1.82996 + 5.77042i −0.0794136 + 0.250415i
\(532\) −14.9044 + 3.26232i −0.646189 + 0.141440i
\(533\) −9.09165 + 25.2875i −0.393803 + 1.09532i
\(534\) 0.0912296 4.02742i 0.00394789 0.174283i
\(535\) 1.67533 0.448905i 0.0724310 0.0194078i
\(536\) −10.5181 6.07265i −0.454314 0.262299i
\(537\) −0.133171 + 5.87895i −0.00574674 + 0.253695i
\(538\) 15.3236 + 15.3236i 0.660648 + 0.660648i
\(539\) 15.9429 + 19.2084i 0.686711 + 0.827363i
\(540\) 8.06325 7.03577i 0.346987 0.302771i
\(541\) −29.9159 8.01593i −1.28618 0.344632i −0.449973 0.893042i \(-0.648567\pi\)
−0.836209 + 0.548410i \(0.815233\pi\)
\(542\) −2.26892 1.30996i −0.0974586 0.0562677i
\(543\) −17.8102 32.5278i −0.764307 1.39590i
\(544\) 6.85092 + 1.83570i 0.293731 + 0.0787049i
\(545\) −27.3022 −1.16950
\(546\) −16.4238 + 1.80553i −0.702872 + 0.0772696i
\(547\) 31.8987 1.36389 0.681944 0.731404i \(-0.261135\pi\)
0.681944 + 0.731404i \(0.261135\pi\)
\(548\) −11.2765 3.02154i −0.481709 0.129074i
\(549\) −5.31978 0.241132i −0.227043 0.0102913i
\(550\) −2.34277 1.35260i −0.0998962 0.0576751i
\(551\) 1.89549 + 0.507896i 0.0807508 + 0.0216371i
\(552\) 2.56813 + 10.5330i 0.109307 + 0.448315i
\(553\) −1.09792 + 23.6886i −0.0466884 + 1.00734i
\(554\) −1.13770 1.13770i −0.0483362 0.0483362i
\(555\) 27.7268 + 0.628071i 1.17694 + 0.0266602i
\(556\) 18.5375 + 10.7026i 0.786164 + 0.453892i
\(557\) −25.1839 + 6.74800i −1.06708 + 0.285922i −0.749291 0.662241i \(-0.769605\pi\)
−0.317784 + 0.948163i \(0.602939\pi\)
\(558\) −13.9045 + 21.7457i −0.588623 + 0.920570i
\(559\) 0.658440 + 1.39768i 0.0278490 + 0.0591156i
\(560\) −1.65243 + 5.19224i −0.0698279 + 0.219412i
\(561\) 10.3773 + 42.5619i 0.438131 + 1.79696i
\(562\) 5.12334 + 8.87388i 0.216115 + 0.374322i
\(563\) −16.1891 + 28.0403i −0.682289 + 1.18176i 0.291991 + 0.956421i \(0.405682\pi\)
−0.974281 + 0.225339i \(0.927651\pi\)
\(564\) 0.757365 2.59038i 0.0318908 0.109075i
\(565\) −1.21616 + 4.53878i −0.0511643 + 0.190948i
\(566\) −7.52074 7.52074i −0.316120 0.316120i
\(567\) −3.24985 + 23.5889i −0.136481 + 0.990643i
\(568\) −2.10943 −0.0885098
\(569\) −7.24779 12.5535i −0.303843 0.526272i 0.673160 0.739497i \(-0.264937\pi\)
−0.977003 + 0.213225i \(0.931603\pi\)
\(570\) 5.77264 19.7439i 0.241789 0.826980i
\(571\) 15.0070 + 8.66430i 0.628024 + 0.362590i 0.779986 0.625797i \(-0.215226\pi\)
−0.151963 + 0.988386i \(0.548559\pi\)
\(572\) −12.6536 + 2.28241i −0.529073 + 0.0954323i
\(573\) 6.61762 10.8851i 0.276455 0.454731i
\(574\) −19.6976 0.912951i −0.822164 0.0381059i
\(575\) 4.74828i 0.198017i
\(576\) 2.52749 + 1.61610i 0.105312 + 0.0673377i
\(577\) −44.5096 + 11.9263i −1.85296 + 0.496498i −0.999688 0.0249728i \(-0.992050\pi\)
−0.853269 + 0.521471i \(0.825383\pi\)
\(578\) −8.61995 32.1701i −0.358543 1.33810i
\(579\) −11.0923 11.6065i −0.460980 0.482348i
\(580\) 0.495554 0.495554i 0.0205767 0.0205767i
\(581\) 29.7195 6.50509i 1.23297 0.269876i
\(582\) −24.9630 15.1763i −1.03475 0.629079i
\(583\) −22.8393 6.11976i −0.945906 0.253455i
\(584\) 2.21929 3.84392i 0.0918348 0.159063i
\(585\) 8.47831 20.6001i 0.350535 0.851709i
\(586\) 9.51930 + 16.4879i 0.393239 + 0.681109i
\(587\) 18.9172 18.9172i 0.780798 0.780798i −0.199168 0.979965i \(-0.563824\pi\)
0.979965 + 0.199168i \(0.0638239\pi\)
\(588\) −4.81420 11.1276i −0.198534 0.458895i
\(589\) 49.6150i 2.04435i
\(590\) 4.01415 + 1.07559i 0.165260 + 0.0442813i
\(591\) −9.41156 + 32.1899i −0.387140 + 1.32412i
\(592\) 2.01230 + 7.50999i 0.0827048 + 0.308659i
\(593\) −3.72678 + 13.9085i −0.153041 + 0.571156i 0.846224 + 0.532827i \(0.178870\pi\)
−0.999265 + 0.0383291i \(0.987796\pi\)
\(594\) −1.25805 + 18.4873i −0.0516184 + 0.758542i
\(595\) 37.7527 8.26340i 1.54771 0.338767i
\(596\) 6.14416 + 6.14416i 0.251675 + 0.251675i
\(597\) 11.3054 + 0.256091i 0.462698 + 0.0104811i
\(598\) 14.5745 + 17.2314i 0.595996 + 0.704645i
\(599\) −21.9183 12.6546i −0.895559 0.517051i −0.0198021 0.999804i \(-0.506304\pi\)
−0.875757 + 0.482753i \(0.839637\pi\)
\(600\) 0.907797 + 0.949877i 0.0370607 + 0.0387786i
\(601\) 7.33163 0.299063 0.149532 0.988757i \(-0.452223\pi\)
0.149532 + 0.988757i \(0.452223\pi\)
\(602\) −0.837922 + 0.763690i −0.0341512 + 0.0311257i
\(603\) −11.0143 + 34.7313i −0.448536 + 1.41437i
\(604\) −1.18588 + 4.42576i −0.0482527 + 0.180082i
\(605\) −3.41585 + 0.915275i −0.138874 + 0.0372112i
\(606\) −9.31766 + 31.8688i −0.378504 + 1.29458i
\(607\) −10.8473 18.7881i −0.440279 0.762585i 0.557431 0.830223i \(-0.311787\pi\)
−0.997710 + 0.0676378i \(0.978454\pi\)
\(608\) 5.76671 0.233871
\(609\) −0.107457 + 1.55570i −0.00435437 + 0.0630402i
\(610\) 3.65572i 0.148016i
\(611\) −0.997272 5.52883i −0.0403453 0.223673i
\(612\) 0.963480 21.2560i 0.0389464 0.859221i
\(613\) −23.3751 + 6.26334i −0.944111 + 0.252974i −0.697862 0.716233i \(-0.745865\pi\)
−0.246250 + 0.969206i \(0.579198\pi\)
\(614\) −23.6739 + 13.6681i −0.955401 + 0.551601i
\(615\) 13.8108 22.7169i 0.556906 0.916034i
\(616\) −4.33415 8.38063i −0.174628 0.337665i
\(617\) −25.9111 + 25.9111i −1.04314 + 1.04314i −0.0441149 + 0.999026i \(0.514047\pi\)
−0.999026 + 0.0441149i \(0.985953\pi\)
\(618\) 10.0755 9.62915i 0.405296 0.387341i
\(619\) 8.48353 + 31.6610i 0.340982 + 1.27256i 0.897237 + 0.441550i \(0.145571\pi\)
−0.556255 + 0.831012i \(0.687762\pi\)
\(620\) 15.3451 + 8.85952i 0.616275 + 0.355807i
\(621\) 29.2063 14.3125i 1.17201 0.574340i
\(622\) 4.45523 4.45523i 0.178639 0.178639i
\(623\) 4.54801 4.14510i 0.182212 0.166070i
\(624\) 6.20995 + 0.660669i 0.248597 + 0.0264479i
\(625\) −10.3158 17.8675i −0.412632 0.714700i
\(626\) 5.93138 + 22.1362i 0.237066 + 0.884741i
\(627\) 17.1064 + 31.2425i 0.683165 + 1.24770i
\(628\) −1.72903 + 0.998255i −0.0689958 + 0.0398347i
\(629\) 38.9929 38.9929i 1.55475 1.55475i
\(630\) 16.2780 + 1.49544i 0.648530 + 0.0595797i
\(631\) 28.5560 28.5560i 1.13680 1.13680i 0.147776 0.989021i \(-0.452788\pi\)
0.989021 0.147776i \(-0.0472116\pi\)
\(632\) 2.31981 8.65764i 0.0922770 0.344382i
\(633\) 13.2118 7.23394i 0.525121 0.287523i
\(634\) −2.27901 1.31579i −0.0905111 0.0522566i
\(635\) −4.18022 + 15.6008i −0.165887 + 0.619099i
\(636\) 9.81311 + 5.96591i 0.389115 + 0.236564i
\(637\) −19.3107 16.2510i −0.765119 0.643889i
\(638\) 1.21351i 0.0480435i
\(639\) 1.35942 + 6.18056i 0.0537777 + 0.244499i
\(640\) 1.02973 1.78355i 0.0407038 0.0705011i
\(641\) 18.5105 32.0611i 0.731121 1.26634i −0.225284 0.974293i \(-0.572331\pi\)
0.956405 0.292045i \(-0.0943357\pi\)
\(642\) 1.05454 1.00783i 0.0416195 0.0397757i
\(643\) −19.7152 19.7152i −0.777493 0.777493i 0.201911 0.979404i \(-0.435285\pi\)
−0.979404 + 0.201911i \(0.935285\pi\)
\(644\) −8.93552 + 13.9433i −0.352109 + 0.549443i
\(645\) −0.362076 1.48503i −0.0142567 0.0584731i
\(646\) −20.4505 35.4213i −0.804614 1.39363i
\(647\) 11.4313 19.7996i 0.449412 0.778404i −0.548936 0.835864i \(-0.684967\pi\)
0.998348 + 0.0574606i \(0.0183004\pi\)
\(648\) 3.10630 8.44695i 0.122027 0.331827i
\(649\) −6.23189 + 3.59798i −0.244623 + 0.141233i
\(650\) 2.57383 + 0.925373i 0.100954 + 0.0362961i
\(651\) −38.6963 + 7.55592i −1.51663 + 0.296140i
\(652\) 11.9616 + 11.9616i 0.468453 + 0.468453i
\(653\) −17.2294 + 9.94739i −0.674238 + 0.389271i −0.797680 0.603080i \(-0.793940\pi\)
0.123443 + 0.992352i \(0.460606\pi\)
\(654\) −20.1402 + 11.0275i −0.787546 + 0.431211i
\(655\) −27.3408 + 7.32593i −1.06829 + 0.286248i
\(656\) 7.19905 + 1.92898i 0.281076 + 0.0753140i
\(657\) −12.6928 4.02523i −0.495192 0.157039i
\(658\) 3.66182 1.89376i 0.142753 0.0738263i
\(659\) 26.2057i 1.02083i −0.859929 0.510414i \(-0.829492\pi\)
0.859929 0.510414i \(-0.170508\pi\)
\(660\) 12.7174 + 0.288077i 0.495025 + 0.0112134i
\(661\) 4.35027 + 16.2354i 0.169206 + 0.631485i 0.997466 + 0.0711414i \(0.0226642\pi\)
−0.828260 + 0.560343i \(0.810669\pi\)
\(662\) −10.3243 + 17.8823i −0.401267 + 0.695015i
\(663\) −17.9643 40.4867i −0.697675 1.57238i
\(664\) −11.4989 −0.446242
\(665\) 27.9104 14.4342i 1.08232 0.559735i
\(666\) 20.7072 10.7357i 0.802387 0.416001i
\(667\) 1.84464 1.06501i 0.0714249 0.0412372i
\(668\) −1.90414 7.10633i −0.0736732 0.274952i
\(669\) −6.45560 1.88746i −0.249588 0.0729734i
\(670\) 24.1606 + 6.47381i 0.933405 + 0.250105i
\(671\) −4.47607 4.47607i −0.172797 0.172797i
\(672\) 0.878219 + 4.49764i 0.0338780 + 0.173500i
\(673\) 22.4111i 0.863885i −0.901901 0.431942i \(-0.857828\pi\)
0.901901 0.431942i \(-0.142172\pi\)
\(674\) 8.88364 33.1542i 0.342185 1.27705i
\(675\) 2.19808 3.27196i 0.0846041 0.125938i
\(676\) 12.1807 4.54201i 0.468490 0.174693i
\(677\) 37.5970 21.7066i 1.44497 0.834253i 0.446793 0.894637i \(-0.352566\pi\)
0.998175 + 0.0603842i \(0.0192326\pi\)
\(678\) 0.936106 + 3.83938i 0.0359509 + 0.147450i
\(679\) −9.54185 43.5934i −0.366183 1.67296i
\(680\) −14.6070 −0.560152
\(681\) 18.0693 + 18.9069i 0.692417 + 0.724513i
\(682\) −29.6362 + 7.94100i −1.13483 + 0.304077i
\(683\) 22.7552 6.09725i 0.870705 0.233305i 0.204312 0.978906i \(-0.434504\pi\)
0.666392 + 0.745601i \(0.267838\pi\)
\(684\) −3.71634 16.8963i −0.142098 0.646045i
\(685\) 24.0429 0.918632
\(686\) 7.22483 17.0529i 0.275845 0.651083i
\(687\) −2.04684 + 0.499055i −0.0780918 + 0.0190401i
\(688\) 0.371099 0.214254i 0.0141480 0.00816836i
\(689\) 23.8235 + 1.99010i 0.907604 + 0.0758169i
\(690\) −10.7232 19.5844i −0.408224 0.745564i
\(691\) −0.745645 + 2.78278i −0.0283657 + 0.105862i −0.978657 0.205499i \(-0.934118\pi\)
0.950292 + 0.311361i \(0.100785\pi\)
\(692\) 15.6895i 0.596426i
\(693\) −21.7618 + 18.0998i −0.826663 + 0.687554i
\(694\) 9.55751 + 9.55751i 0.362798 + 0.362798i
\(695\) −42.5813 11.4096i −1.61520 0.432792i
\(696\) 0.165402 0.565717i 0.00626955 0.0214435i
\(697\) −13.6815 51.0599i −0.518223 1.93403i
\(698\) 7.45512 4.30422i 0.282181 0.162917i
\(699\) 9.08291 + 5.52199i 0.343547 + 0.208861i
\(700\) −0.0929227 + 2.00488i −0.00351215 + 0.0757773i
\(701\) 26.3344 0.994636 0.497318 0.867568i \(-0.334318\pi\)
0.497318 + 0.867568i \(0.334318\pi\)
\(702\) −2.06625 18.6207i −0.0779855 0.702793i
\(703\) 22.4178 38.8289i 0.845505 1.46446i
\(704\) 0.922976 + 3.44459i 0.0347860 + 0.129823i
\(705\) −0.125872 + 5.55673i −0.00474060 + 0.209278i
\(706\) 23.8878i 0.899031i
\(707\) −45.0504 + 23.2984i −1.69429 + 0.876227i
\(708\) 3.39559 0.827904i 0.127614 0.0311145i
\(709\) −18.1689 4.86834i −0.682347 0.182834i −0.0990370 0.995084i \(-0.531576\pi\)
−0.583310 + 0.812249i \(0.698243\pi\)
\(710\) 4.19628 1.12439i 0.157484 0.0421976i
\(711\) −26.8616 1.21757i −1.00739 0.0456624i
\(712\) −2.01423 + 1.16291i −0.0754863 + 0.0435820i
\(713\) 38.0804 + 38.0804i 1.42612 + 1.42612i
\(714\) 24.5117 21.3443i 0.917328 0.798791i
\(715\) 23.9551 11.2851i 0.895870 0.422040i
\(716\) 2.94023 1.69754i 0.109882 0.0634401i
\(717\) −1.73975 + 5.95039i −0.0649722 + 0.222221i
\(718\) 3.79766 6.57774i 0.141727 0.245479i
\(719\) −10.3763 17.9723i −0.386971 0.670253i 0.605070 0.796172i \(-0.293145\pi\)
−0.992040 + 0.125920i \(0.959812\pi\)
\(720\) −5.88935 1.86768i −0.219483 0.0696044i
\(721\) 21.2661 + 0.985646i 0.791991 + 0.0367074i
\(722\) −10.0798 10.0798i −0.375131 0.375131i
\(723\) 13.0368 + 13.6411i 0.484844 + 0.507319i
\(724\) −10.7054 + 18.5422i −0.397862 + 0.689116i
\(725\) 0.129070 0.223556i 0.00479354 0.00830266i
\(726\) −2.15012 + 2.05487i −0.0797983 + 0.0762632i
\(727\) 0.874759i 0.0324430i −0.999868 0.0162215i \(-0.994836\pi\)
0.999868 0.0162215i \(-0.00516369\pi\)
\(728\) 5.81662 + 7.56088i 0.215578 + 0.280225i
\(729\) −26.7511 3.65774i −0.990781 0.135472i
\(730\) −2.36589 + 8.82963i −0.0875656 + 0.326799i
\(731\) −2.63206 1.51962i −0.0973501 0.0562051i
\(732\) 1.47657 + 2.69675i 0.0545757 + 0.0996748i
\(733\) 6.74247 25.1633i 0.249039 0.929426i −0.722271 0.691610i \(-0.756902\pi\)
0.971310 0.237816i \(-0.0764315\pi\)
\(734\) 8.63769 8.63769i 0.318823 0.318823i
\(735\) 15.5082 + 19.5700i 0.572029 + 0.721849i
\(736\) 4.42605 4.42605i 0.163146 0.163146i
\(737\) −37.5088 + 21.6557i −1.38165 + 0.797699i
\(738\) 1.01244 22.3361i 0.0372684 0.822202i
\(739\) −1.26454 4.71934i −0.0465169 0.173604i 0.938759 0.344574i \(-0.111977\pi\)
−0.985276 + 0.170970i \(0.945310\pi\)
\(740\) −8.00610 13.8670i −0.294310 0.509760i
\(741\) −22.6282 28.0162i −0.831268 1.02920i
\(742\) 3.75096 + 17.1369i 0.137702 + 0.629114i
\(743\) 1.07143 1.07143i 0.0393071 0.0393071i −0.687180 0.726487i \(-0.741152\pi\)
0.726487 + 0.687180i \(0.241152\pi\)
\(744\) 14.8982 + 0.337476i 0.546195 + 0.0123725i
\(745\) −15.4976 8.94753i −0.567787 0.327812i
\(746\) 1.36186 + 5.08252i 0.0498611 + 0.186084i
\(747\) 7.41039 + 33.6912i 0.271132 + 1.23270i
\(748\) 17.8848 17.8848i 0.653934 0.653934i
\(749\) 2.22580 + 0.103162i 0.0813288 + 0.00376945i
\(750\) −17.5523 10.6710i −0.640919 0.389649i
\(751\) −11.9427 + 6.89510i −0.435794 + 0.251606i −0.701812 0.712362i \(-0.747625\pi\)
0.266018 + 0.963968i \(0.414292\pi\)
\(752\) −1.50508 + 0.403284i −0.0548844 + 0.0147062i
\(753\) −17.3049 + 9.47507i −0.630625 + 0.345291i
\(754\) −0.217796 1.20745i −0.00793166 0.0439728i
\(755\) 9.43625i 0.343420i
\(756\) 12.6119 5.47164i 0.458692 0.199001i
\(757\) 19.3286 0.702509 0.351254 0.936280i \(-0.385755\pi\)
0.351254 + 0.936280i \(0.385755\pi\)
\(758\) −7.52949 13.0415i −0.273484 0.473687i
\(759\) 37.1086 + 10.8497i 1.34696 + 0.393818i
\(760\) −11.4717 + 3.07383i −0.416122 + 0.111500i
\(761\) 5.56192 20.7574i 0.201620 0.752455i −0.788834 0.614607i \(-0.789315\pi\)
0.990453 0.137848i \(-0.0440186\pi\)
\(762\) 3.21761 + 13.1968i 0.116562 + 0.478070i
\(763\) −33.4227 10.6368i −1.20998 0.385077i
\(764\) −7.35477 −0.266086
\(765\) 9.41342 + 42.7979i 0.340343 + 1.54736i
\(766\) 13.6297 + 7.86909i 0.492460 + 0.284322i
\(767\) 5.55500 4.69848i 0.200580 0.169652i
\(768\) 0.0392246 1.73161i 0.00141540 0.0624840i
\(769\) 4.93994 + 4.93994i 0.178139 + 0.178139i 0.790544 0.612405i \(-0.209798\pi\)
−0.612405 + 0.790544i \(0.709798\pi\)
\(770\) 13.0890 + 14.3613i 0.471696 + 0.517546i
\(771\) 8.94329 + 5.43710i 0.322085 + 0.195812i
\(772\) −2.39902 + 8.95326i −0.0863426 + 0.322235i
\(773\) 3.76207 + 14.0402i 0.135312 + 0.504992i 0.999996 + 0.00267596i \(0.000851785\pi\)
−0.864684 + 0.502316i \(0.832482\pi\)
\(774\)