Properties

Label 190.2.k.d.101.1
Level $190$
Weight $2$
Character 190.101
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.k (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + 132588 x^{4} + 45584 x^{3} + 50640 x^{2} + 1824 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 101.1
Root \(-0.897451 - 1.55443i\) of defining polynomial
Character \(\chi\) \(=\) 190.101
Dual form 190.2.k.d.111.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(-1.68666 - 0.613893i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.173648 + 0.984808i) q^{5} +(1.68666 - 0.613893i) q^{6} +(-0.680736 + 1.17907i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.169813 + 0.142490i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(-1.68666 - 0.613893i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.173648 + 0.984808i) q^{5} +(1.68666 - 0.613893i) q^{6} +(-0.680736 + 1.17907i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.169813 + 0.142490i) q^{9} +(-0.766044 - 0.642788i) q^{10} +(-3.22960 - 5.59384i) q^{11} +(-0.897451 + 1.55443i) q^{12} +(-5.52256 + 2.01005i) q^{13} +(-0.236417 - 1.34079i) q^{14} +(0.311682 - 1.76763i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-1.96020 + 1.64480i) q^{17} -0.221676 q^{18} +(-3.83851 + 2.06538i) q^{19} +1.00000 q^{20} +(1.87199 - 1.57079i) q^{21} +(6.06967 + 2.20918i) q^{22} +(1.46285 - 8.29626i) q^{23} +(-0.311682 - 1.76763i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(2.93849 - 5.08962i) q^{26} +(2.49341 + 4.31871i) q^{27} +(1.04295 + 0.875137i) q^{28} +(3.41558 + 2.86601i) q^{29} +(0.897451 + 1.55443i) q^{30} +(0.701264 - 1.21462i) q^{31} +(0.939693 - 0.342020i) q^{32} +(2.01322 + 11.4175i) q^{33} +(0.444341 - 2.51998i) q^{34} +(-1.27936 - 0.465651i) q^{35} +(0.169813 - 0.142490i) q^{36} -4.42962 q^{37} +(1.61287 - 4.04953i) q^{38} +10.5486 q^{39} +(-0.766044 + 0.642788i) q^{40} +(5.15407 + 1.87593i) q^{41} +(-0.424346 + 2.40658i) q^{42} +(1.19018 + 6.74986i) q^{43} +(-6.06967 + 2.20918i) q^{44} +(-0.110838 + 0.191977i) q^{45} +(4.21212 + 7.29560i) q^{46} +(-7.29140 - 6.11821i) q^{47} +(1.37498 + 1.15374i) q^{48} +(2.57320 + 4.45691i) q^{49} +(0.500000 - 0.866025i) q^{50} +(4.31591 - 1.57086i) q^{51} +(1.02053 + 5.78770i) q^{52} +(0.768506 - 4.35841i) q^{53} +(-4.68608 - 1.70559i) q^{54} +(4.94804 - 4.15190i) q^{55} -1.36147 q^{56} +(7.74218 - 1.12716i) q^{57} -4.45872 q^{58} +(-7.87687 + 6.60948i) q^{59} +(-1.68666 - 0.613893i) q^{60} +(1.12233 - 6.36503i) q^{61} +(0.243546 + 1.38122i) q^{62} +(-0.283604 + 0.103223i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.93849 - 5.08962i) q^{65} +(-8.88125 - 7.45226i) q^{66} +(-5.14753 - 4.31929i) q^{67} +(1.27943 + 2.21604i) q^{68} +(-7.56034 + 13.0949i) q^{69} +(1.27936 - 0.465651i) q^{70} +(0.336459 + 1.90815i) q^{71} +(-0.0384936 + 0.218308i) q^{72} +(5.90451 + 2.14907i) q^{73} +(3.39328 - 2.84730i) q^{74} +1.79490 q^{75} +(1.36746 + 4.13885i) q^{76} +8.79403 q^{77} +(-8.08071 + 6.78052i) q^{78} +(3.37355 + 1.22787i) q^{79} +(0.173648 - 0.984808i) q^{80} +(-1.66978 - 9.46980i) q^{81} +(-5.15407 + 1.87593i) q^{82} +(6.74970 - 11.6908i) q^{83} +(-1.22185 - 2.11631i) q^{84} +(-1.96020 - 1.64480i) q^{85} +(-5.25046 - 4.40566i) q^{86} +(-4.00148 - 6.93077i) q^{87} +(3.22960 - 5.59384i) q^{88} +(1.78165 - 0.648469i) q^{89} +(-0.0384936 - 0.218308i) q^{90} +(1.38942 - 7.87979i) q^{91} +(-7.91619 - 2.88126i) q^{92} +(-1.92844 + 1.61815i) q^{93} +9.51825 q^{94} +(-2.70056 - 3.42155i) q^{95} -1.79490 q^{96} +(-0.0945771 + 0.0793596i) q^{97} +(-4.83603 - 1.76017i) q^{98} +(0.248638 - 1.41010i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 9q^{8} - 18q^{9} + O(q^{10}) \) \( 18q + 9q^{8} - 18q^{9} - 12q^{11} - 6q^{13} + 6q^{14} - 42q^{18} + 18q^{20} + 12q^{21} - 3q^{22} + 9q^{23} - 9q^{26} - 18q^{27} + 3q^{28} - 6q^{29} - 6q^{31} + 66q^{33} + 18q^{34} + 3q^{35} - 18q^{36} - 12q^{37} - 6q^{38} + 48q^{39} - 21q^{41} + 42q^{42} + 18q^{43} + 3q^{44} - 21q^{45} + 18q^{46} - 54q^{47} - 39q^{49} + 9q^{50} + 42q^{51} + 12q^{52} - 24q^{53} - 54q^{54} - 6q^{55} - 18q^{57} - 30q^{59} + 48q^{61} - 30q^{62} - 57q^{63} - 9q^{64} + 9q^{65} + 24q^{66} - 6q^{67} - 6q^{68} - 30q^{69} - 3q^{70} + 30q^{71} + 6q^{73} - 3q^{74} - 21q^{76} + 30q^{77} - 24q^{78} + 30q^{79} + 18q^{81} + 21q^{82} + 6q^{83} + 6q^{84} + 36q^{86} + 24q^{87} + 12q^{88} + 30q^{89} - 60q^{91} - 18q^{92} - 12q^{93} + 6q^{94} - 12q^{95} - 12q^{97} - 18q^{98} + 171q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) −1.68666 0.613893i −0.973792 0.354431i −0.194368 0.980929i \(-0.562266\pi\)
−0.779423 + 0.626497i \(0.784488\pi\)
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 0.173648 + 0.984808i 0.0776578 + 0.440419i
\(6\) 1.68666 0.613893i 0.688575 0.250621i
\(7\) −0.680736 + 1.17907i −0.257294 + 0.445646i −0.965516 0.260343i \(-0.916164\pi\)
0.708222 + 0.705990i \(0.249498\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 0.169813 + 0.142490i 0.0566045 + 0.0474968i
\(10\) −0.766044 0.642788i −0.242245 0.203267i
\(11\) −3.22960 5.59384i −0.973762 1.68661i −0.683960 0.729520i \(-0.739744\pi\)
−0.289803 0.957086i \(-0.593590\pi\)
\(12\) −0.897451 + 1.55443i −0.259072 + 0.448726i
\(13\) −5.52256 + 2.01005i −1.53168 + 0.557487i −0.964033 0.265784i \(-0.914369\pi\)
−0.567650 + 0.823270i \(0.692147\pi\)
\(14\) −0.236417 1.34079i −0.0631851 0.358341i
\(15\) 0.311682 1.76763i 0.0804758 0.456401i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) −1.96020 + 1.64480i −0.475418 + 0.398923i −0.848766 0.528768i \(-0.822654\pi\)
0.373348 + 0.927691i \(0.378210\pi\)
\(18\) −0.221676 −0.0522494
\(19\) −3.83851 + 2.06538i −0.880615 + 0.473832i
\(20\) 1.00000 0.223607
\(21\) 1.87199 1.57079i 0.408502 0.342774i
\(22\) 6.06967 + 2.20918i 1.29406 + 0.470999i
\(23\) 1.46285 8.29626i 0.305026 1.72989i −0.318356 0.947971i \(-0.603131\pi\)
0.623382 0.781918i \(-0.285758\pi\)
\(24\) −0.311682 1.76763i −0.0636217 0.360817i
\(25\) −0.939693 + 0.342020i −0.187939 + 0.0684040i
\(26\) 2.93849 5.08962i 0.576286 0.998156i
\(27\) 2.49341 + 4.31871i 0.479857 + 0.831137i
\(28\) 1.04295 + 0.875137i 0.197099 + 0.165385i
\(29\) 3.41558 + 2.86601i 0.634257 + 0.532205i 0.902248 0.431217i \(-0.141916\pi\)
−0.267992 + 0.963421i \(0.586360\pi\)
\(30\) 0.897451 + 1.55443i 0.163851 + 0.283799i
\(31\) 0.701264 1.21462i 0.125951 0.218153i −0.796153 0.605095i \(-0.793135\pi\)
0.922104 + 0.386942i \(0.126469\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) 2.01322 + 11.4175i 0.350456 + 1.98753i
\(34\) 0.444341 2.51998i 0.0762038 0.432173i
\(35\) −1.27936 0.465651i −0.216252 0.0787093i
\(36\) 0.169813 0.142490i 0.0283022 0.0237484i
\(37\) −4.42962 −0.728225 −0.364112 0.931355i \(-0.618628\pi\)
−0.364112 + 0.931355i \(0.618628\pi\)
\(38\) 1.61287 4.04953i 0.261642 0.656920i
\(39\) 10.5486 1.68913
\(40\) −0.766044 + 0.642788i −0.121122 + 0.101634i
\(41\) 5.15407 + 1.87593i 0.804931 + 0.292971i 0.711528 0.702658i \(-0.248003\pi\)
0.0934025 + 0.995628i \(0.470226\pi\)
\(42\) −0.424346 + 2.40658i −0.0654780 + 0.371344i
\(43\) 1.19018 + 6.74986i 0.181501 + 1.02934i 0.930369 + 0.366625i \(0.119487\pi\)
−0.748868 + 0.662719i \(0.769402\pi\)
\(44\) −6.06967 + 2.20918i −0.915037 + 0.333046i
\(45\) −0.110838 + 0.191977i −0.0165227 + 0.0286182i
\(46\) 4.21212 + 7.29560i 0.621043 + 1.07568i
\(47\) −7.29140 6.11821i −1.06356 0.892433i −0.0691065 0.997609i \(-0.522015\pi\)
−0.994454 + 0.105176i \(0.966459\pi\)
\(48\) 1.37498 + 1.15374i 0.198461 + 0.166528i
\(49\) 2.57320 + 4.45691i 0.367600 + 0.636701i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 4.31591 1.57086i 0.604349 0.219965i
\(52\) 1.02053 + 5.78770i 0.141522 + 0.802610i
\(53\) 0.768506 4.35841i 0.105562 0.598674i −0.885432 0.464769i \(-0.846137\pi\)
0.990994 0.133905i \(-0.0427516\pi\)
\(54\) −4.68608 1.70559i −0.637695 0.232102i
\(55\) 4.94804 4.15190i 0.667194 0.559842i
\(56\) −1.36147 −0.181934
\(57\) 7.74218 1.12716i 1.02548 0.149296i
\(58\) −4.45872 −0.585458
\(59\) −7.87687 + 6.60948i −1.02548 + 0.860481i −0.990306 0.138900i \(-0.955643\pi\)
−0.0351753 + 0.999381i \(0.511199\pi\)
\(60\) −1.68666 0.613893i −0.217746 0.0792532i
\(61\) 1.12233 6.36503i 0.143699 0.814958i −0.824703 0.565566i \(-0.808658\pi\)
0.968402 0.249393i \(-0.0802310\pi\)
\(62\) 0.243546 + 1.38122i 0.0309304 + 0.175415i
\(63\) −0.283604 + 0.103223i −0.0357307 + 0.0130049i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −2.93849 5.08962i −0.364475 0.631289i
\(66\) −8.88125 7.45226i −1.09321 0.917309i
\(67\) −5.14753 4.31929i −0.628871 0.527685i 0.271707 0.962380i \(-0.412412\pi\)
−0.900578 + 0.434695i \(0.856856\pi\)
\(68\) 1.27943 + 2.21604i 0.155153 + 0.268734i
\(69\) −7.56034 + 13.0949i −0.910158 + 1.57644i
\(70\) 1.27936 0.465651i 0.152913 0.0556559i
\(71\) 0.336459 + 1.90815i 0.0399303 + 0.226456i 0.998242 0.0592685i \(-0.0188768\pi\)
−0.958312 + 0.285725i \(0.907766\pi\)
\(72\) −0.0384936 + 0.218308i −0.00453651 + 0.0257278i
\(73\) 5.90451 + 2.14907i 0.691071 + 0.251529i 0.663594 0.748093i \(-0.269030\pi\)
0.0274772 + 0.999622i \(0.491253\pi\)
\(74\) 3.39328 2.84730i 0.394461 0.330992i
\(75\) 1.79490 0.207258
\(76\) 1.36746 + 4.13885i 0.156858 + 0.474758i
\(77\) 8.79403 1.00217
\(78\) −8.08071 + 6.78052i −0.914960 + 0.767743i
\(79\) 3.37355 + 1.22787i 0.379554 + 0.138146i 0.524750 0.851257i \(-0.324159\pi\)
−0.145195 + 0.989403i \(0.546381\pi\)
\(80\) 0.173648 0.984808i 0.0194145 0.110105i
\(81\) −1.66978 9.46980i −0.185531 1.05220i
\(82\) −5.15407 + 1.87593i −0.569172 + 0.207162i
\(83\) 6.74970 11.6908i 0.740876 1.28323i −0.211221 0.977438i \(-0.567744\pi\)
0.952097 0.305797i \(-0.0989228\pi\)
\(84\) −1.22185 2.11631i −0.133315 0.230909i
\(85\) −1.96020 1.64480i −0.212613 0.178404i
\(86\) −5.25046 4.40566i −0.566172 0.475074i
\(87\) −4.00148 6.93077i −0.429004 0.743057i
\(88\) 3.22960 5.59384i 0.344277 0.596305i
\(89\) 1.78165 0.648469i 0.188855 0.0687376i −0.245861 0.969305i \(-0.579071\pi\)
0.434716 + 0.900567i \(0.356849\pi\)
\(90\) −0.0384936 0.218308i −0.00405758 0.0230117i
\(91\) 1.38942 7.87979i 0.145651 0.826026i
\(92\) −7.91619 2.88126i −0.825320 0.300392i
\(93\) −1.92844 + 1.61815i −0.199970 + 0.167795i
\(94\) 9.51825 0.981732
\(95\) −2.70056 3.42155i −0.277071 0.351043i
\(96\) −1.79490 −0.183191
\(97\) −0.0945771 + 0.0793596i −0.00960285 + 0.00805774i −0.647576 0.762001i \(-0.724217\pi\)
0.637974 + 0.770058i \(0.279773\pi\)
\(98\) −4.83603 1.76017i −0.488513 0.177804i
\(99\) 0.248638 1.41010i 0.0249891 0.141720i
\(100\) 0.173648 + 0.984808i 0.0173648 + 0.0984808i
\(101\) −12.8307 + 4.66998i −1.27670 + 0.464680i −0.889339 0.457249i \(-0.848835\pi\)
−0.387359 + 0.921929i \(0.626613\pi\)
\(102\) −2.29645 + 3.97757i −0.227382 + 0.393838i
\(103\) 3.43714 + 5.95330i 0.338672 + 0.586596i 0.984183 0.177154i \(-0.0566891\pi\)
−0.645512 + 0.763751i \(0.723356\pi\)
\(104\) −4.50203 3.77765i −0.441460 0.370429i
\(105\) 1.87199 + 1.57079i 0.182688 + 0.153293i
\(106\) 2.21282 + 3.83272i 0.214929 + 0.372267i
\(107\) −4.42008 + 7.65580i −0.427305 + 0.740114i −0.996633 0.0819969i \(-0.973870\pi\)
0.569328 + 0.822111i \(0.307204\pi\)
\(108\) 4.68608 1.70559i 0.450918 0.164121i
\(109\) −1.65245 9.37152i −0.158276 0.897629i −0.955729 0.294248i \(-0.904931\pi\)
0.797453 0.603381i \(-0.206180\pi\)
\(110\) −1.12163 + 6.36108i −0.106943 + 0.606505i
\(111\) 7.47124 + 2.71931i 0.709139 + 0.258106i
\(112\) 1.04295 0.875137i 0.0985493 0.0826927i
\(113\) −11.0799 −1.04231 −0.521154 0.853462i \(-0.674498\pi\)
−0.521154 + 0.853462i \(0.674498\pi\)
\(114\) −5.20633 + 5.84003i −0.487617 + 0.546969i
\(115\) 8.42424 0.785564
\(116\) 3.41558 2.86601i 0.317128 0.266102i
\(117\) −1.22422 0.445578i −0.113179 0.0411937i
\(118\) 1.78554 10.1263i 0.164373 0.932203i
\(119\) −0.604958 3.43088i −0.0554564 0.314509i
\(120\) 1.68666 0.613893i 0.153970 0.0560405i
\(121\) −15.3607 + 26.6055i −1.39643 + 2.41868i
\(122\) 3.23161 + 5.59731i 0.292576 + 0.506757i
\(123\) −7.54153 6.32809i −0.679997 0.570585i
\(124\) −1.07440 0.901527i −0.0964838 0.0809595i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) 0.150903 0.261371i 0.0134435 0.0232848i
\(127\) −8.63792 + 3.14395i −0.766491 + 0.278980i −0.695528 0.718499i \(-0.744830\pi\)
−0.0709633 + 0.997479i \(0.522607\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) 2.13626 12.1153i 0.188087 1.06670i
\(130\) 5.52256 + 2.01005i 0.484360 + 0.176293i
\(131\) 0.0847217 0.0710900i 0.00740217 0.00621116i −0.639079 0.769141i \(-0.720684\pi\)
0.646481 + 0.762930i \(0.276240\pi\)
\(132\) 11.5937 1.00910
\(133\) 0.177782 5.93185i 0.0154157 0.514357i
\(134\) 6.71962 0.580487
\(135\) −3.82013 + 3.20547i −0.328784 + 0.275883i
\(136\) −2.40454 0.875181i −0.206188 0.0750461i
\(137\) 2.37043 13.4434i 0.202520 1.14855i −0.698776 0.715341i \(-0.746271\pi\)
0.901295 0.433205i \(-0.142617\pi\)
\(138\) −2.62568 14.8910i −0.223513 1.26760i
\(139\) −2.27126 + 0.826670i −0.192645 + 0.0701172i −0.436541 0.899684i \(-0.643797\pi\)
0.243896 + 0.969801i \(0.421575\pi\)
\(140\) −0.680736 + 1.17907i −0.0575327 + 0.0996495i
\(141\) 8.54216 + 14.7955i 0.719380 + 1.24600i
\(142\) −1.48428 1.24546i −0.124558 0.104517i
\(143\) 29.0796 + 24.4007i 2.43176 + 2.04048i
\(144\) −0.110838 0.191977i −0.00923648 0.0159981i
\(145\) −2.22936 + 3.86136i −0.185138 + 0.320669i
\(146\) −5.90451 + 2.14907i −0.488661 + 0.177858i
\(147\) −1.60404 9.09694i −0.132299 0.750303i
\(148\) −0.769195 + 4.36232i −0.0632274 + 0.358581i
\(149\) 2.08531 + 0.758990i 0.170835 + 0.0621789i 0.426022 0.904713i \(-0.359915\pi\)
−0.255187 + 0.966892i \(0.582137\pi\)
\(150\) −1.37498 + 1.15374i −0.112266 + 0.0942026i
\(151\) −11.6771 −0.950267 −0.475133 0.879914i \(-0.657600\pi\)
−0.475133 + 0.879914i \(0.657600\pi\)
\(152\) −3.70793 2.29156i −0.300753 0.185870i
\(153\) −0.567236 −0.0458583
\(154\) −6.73662 + 5.65269i −0.542852 + 0.455507i
\(155\) 1.31794 + 0.479693i 0.105860 + 0.0385298i
\(156\) 1.83175 10.3884i 0.146657 0.831734i
\(157\) −0.722948 4.10004i −0.0576975 0.327219i 0.942273 0.334844i \(-0.108684\pi\)
−0.999971 + 0.00762562i \(0.997573\pi\)
\(158\) −3.37355 + 1.22787i −0.268385 + 0.0976843i
\(159\) −3.97181 + 6.87937i −0.314985 + 0.545569i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 8.78604 + 7.37236i 0.692437 + 0.581024i
\(162\) 7.36620 + 6.18097i 0.578743 + 0.485623i
\(163\) −2.40117 4.15894i −0.188074 0.325753i 0.756534 0.653954i \(-0.226891\pi\)
−0.944608 + 0.328201i \(0.893558\pi\)
\(164\) 2.74242 4.75002i 0.214147 0.370914i
\(165\) −10.8945 + 3.96526i −0.848133 + 0.308695i
\(166\) 2.34415 + 13.2943i 0.181941 + 1.03184i
\(167\) −0.671525 + 3.80840i −0.0519641 + 0.294703i −0.999704 0.0243418i \(-0.992251\pi\)
0.947740 + 0.319045i \(0.103362\pi\)
\(168\) 2.29634 + 0.835798i 0.177166 + 0.0644832i
\(169\) 16.4998 13.8450i 1.26921 1.06500i
\(170\) 2.55886 0.196255
\(171\) −0.946128 0.196221i −0.0723522 0.0150054i
\(172\) 6.85399 0.522612
\(173\) 8.83929 7.41704i 0.672039 0.563907i −0.241629 0.970369i \(-0.577682\pi\)
0.913668 + 0.406461i \(0.133237\pi\)
\(174\) 7.52033 + 2.73718i 0.570115 + 0.207505i
\(175\) 0.236417 1.34079i 0.0178715 0.101354i
\(176\) 1.12163 + 6.36108i 0.0845460 + 0.479484i
\(177\) 17.3431 6.31237i 1.30359 0.474467i
\(178\) −0.947998 + 1.64198i −0.0710555 + 0.123072i
\(179\) −4.18981 7.25696i −0.313161 0.542411i 0.665884 0.746055i \(-0.268055\pi\)
−0.979045 + 0.203645i \(0.934721\pi\)
\(180\) 0.169813 + 0.142490i 0.0126571 + 0.0106206i
\(181\) −8.13969 6.83001i −0.605018 0.507671i 0.288036 0.957620i \(-0.406998\pi\)
−0.893054 + 0.449949i \(0.851442\pi\)
\(182\) 4.00067 + 6.92937i 0.296550 + 0.513639i
\(183\) −5.80042 + 10.0466i −0.428780 + 0.742668i
\(184\) 7.91619 2.88126i 0.583590 0.212409i
\(185\) −0.769195 4.36232i −0.0565523 0.320724i
\(186\) 0.437142 2.47915i 0.0320528 0.181780i
\(187\) 15.5314 + 5.65298i 1.13577 + 0.413386i
\(188\) −7.29140 + 6.11821i −0.531780 + 0.446216i
\(189\) −6.78942 −0.493857
\(190\) 4.26808 + 0.885172i 0.309639 + 0.0642171i
\(191\) 10.8514 0.785179 0.392589 0.919714i \(-0.371579\pi\)
0.392589 + 0.919714i \(0.371579\pi\)
\(192\) 1.37498 1.15374i 0.0992303 0.0832641i
\(193\) −1.81949 0.662240i −0.130970 0.0476691i 0.275704 0.961243i \(-0.411089\pi\)
−0.406674 + 0.913574i \(0.633311\pi\)
\(194\) 0.0214389 0.121586i 0.00153922 0.00872936i
\(195\) 1.83175 + 10.3884i 0.131174 + 0.743926i
\(196\) 4.83603 1.76017i 0.345431 0.125726i
\(197\) −6.12697 + 10.6122i −0.436529 + 0.756090i −0.997419 0.0718004i \(-0.977126\pi\)
0.560890 + 0.827890i \(0.310459\pi\)
\(198\) 0.715925 + 1.24002i 0.0508785 + 0.0881242i
\(199\) −0.331678 0.278311i −0.0235121 0.0197290i 0.630956 0.775819i \(-0.282663\pi\)
−0.654468 + 0.756090i \(0.727107\pi\)
\(200\) −0.766044 0.642788i −0.0541675 0.0454519i
\(201\) 6.03053 + 10.4452i 0.425361 + 0.736747i
\(202\) 6.82705 11.8248i 0.480350 0.831990i
\(203\) −5.70433 + 2.07621i −0.400365 + 0.145721i
\(204\) −0.797549 4.52312i −0.0558396 0.316682i
\(205\) −0.952434 + 5.40152i −0.0665209 + 0.377259i
\(206\) −6.45971 2.35114i −0.450070 0.163812i
\(207\) 1.43055 1.20037i 0.0994300 0.0834317i
\(208\) 5.87698 0.407496
\(209\) 23.9503 + 14.8017i 1.65668 + 1.02385i
\(210\) −2.44371 −0.168632
\(211\) −10.5293 + 8.83513i −0.724867 + 0.608235i −0.928727 0.370765i \(-0.879096\pi\)
0.203860 + 0.979000i \(0.434651\pi\)
\(212\) −4.15875 1.51366i −0.285624 0.103959i
\(213\) 0.603911 3.42495i 0.0413793 0.234674i
\(214\) −1.53508 8.70585i −0.104936 0.595120i
\(215\) −6.44064 + 2.34420i −0.439248 + 0.159873i
\(216\) −2.49341 + 4.31871i −0.169655 + 0.293851i
\(217\) 0.954751 + 1.65368i 0.0648127 + 0.112259i
\(218\) 7.28975 + 6.11683i 0.493724 + 0.414284i
\(219\) −8.63959 7.24948i −0.583809 0.489874i
\(220\) −3.22960 5.59384i −0.217740 0.377137i
\(221\) 7.51918 13.0236i 0.505795 0.876062i
\(222\) −7.47124 + 2.71931i −0.501437 + 0.182508i
\(223\) −3.90968 22.1729i −0.261812 1.48481i −0.777963 0.628310i \(-0.783747\pi\)
0.516151 0.856497i \(-0.327364\pi\)
\(224\) −0.236417 + 1.34079i −0.0157963 + 0.0895852i
\(225\) −0.208307 0.0758175i −0.0138871 0.00505450i
\(226\) 8.48769 7.12202i 0.564593 0.473750i
\(227\) −18.8403 −1.25048 −0.625239 0.780433i \(-0.714998\pi\)
−0.625239 + 0.780433i \(0.714998\pi\)
\(228\) 0.234380 7.82029i 0.0155222 0.517911i
\(229\) −4.51829 −0.298577 −0.149289 0.988794i \(-0.547698\pi\)
−0.149289 + 0.988794i \(0.547698\pi\)
\(230\) −6.45334 + 5.41500i −0.425521 + 0.357054i
\(231\) −14.8325 5.39859i −0.975908 0.355201i
\(232\) −0.774248 + 4.39098i −0.0508319 + 0.288282i
\(233\) −1.86901 10.5997i −0.122443 0.694406i −0.982794 0.184705i \(-0.940867\pi\)
0.860351 0.509701i \(-0.170244\pi\)
\(234\) 1.22422 0.445578i 0.0800295 0.0291284i
\(235\) 4.75912 8.24304i 0.310451 0.537717i
\(236\) 5.14126 + 8.90493i 0.334668 + 0.579662i
\(237\) −4.93624 4.14200i −0.320643 0.269052i
\(238\) 2.66875 + 2.23935i 0.172990 + 0.145156i
\(239\) −11.7010 20.2668i −0.756876 1.31095i −0.944436 0.328695i \(-0.893391\pi\)
0.187560 0.982253i \(-0.439942\pi\)
\(240\) −0.897451 + 1.55443i −0.0579302 + 0.100338i
\(241\) 19.6353 7.14665i 1.26482 0.460356i 0.379435 0.925218i \(-0.376118\pi\)
0.885383 + 0.464862i \(0.153896\pi\)
\(242\) −5.33471 30.2547i −0.342928 1.94484i
\(243\) −0.399237 + 2.26419i −0.0256111 + 0.145248i
\(244\) −6.07344 2.21055i −0.388812 0.141516i
\(245\) −3.94237 + 3.30804i −0.251869 + 0.211343i
\(246\) 9.84477 0.627679
\(247\) 17.0469 19.1218i 1.08467 1.21669i
\(248\) 1.40253 0.0890606
\(249\) −18.5613 + 15.5748i −1.17628 + 0.987014i
\(250\) 0.939693 + 0.342020i 0.0594314 + 0.0216313i
\(251\) −3.10917 + 17.6330i −0.196249 + 1.11298i 0.714379 + 0.699759i \(0.246709\pi\)
−0.910628 + 0.413226i \(0.864402\pi\)
\(252\) 0.0524079 + 0.297220i 0.00330139 + 0.0187231i
\(253\) −51.1324 + 18.6107i −3.21466 + 1.17004i
\(254\) 4.59614 7.96075i 0.288388 0.499502i
\(255\) 2.29645 + 3.97757i 0.143809 + 0.249085i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −0.372978 0.312965i −0.0232657 0.0195222i 0.631081 0.775717i \(-0.282612\pi\)
−0.654346 + 0.756195i \(0.727056\pi\)
\(258\) 6.15112 + 10.6541i 0.382952 + 0.663292i
\(259\) 3.01540 5.22282i 0.187368 0.324531i
\(260\) −5.52256 + 2.01005i −0.342495 + 0.124658i
\(261\) 0.171632 + 0.973373i 0.0106238 + 0.0602503i
\(262\) −0.0192049 + 0.108916i −0.00118648 + 0.00672886i
\(263\) 20.7375 + 7.54785i 1.27873 + 0.465420i 0.890013 0.455936i \(-0.150695\pi\)
0.388719 + 0.921356i \(0.372918\pi\)
\(264\) −8.88125 + 7.45226i −0.546603 + 0.458655i
\(265\) 4.42565 0.271865
\(266\) 3.67673 + 4.65834i 0.225435 + 0.285621i
\(267\) −3.40313 −0.208268
\(268\) −5.14753 + 4.31929i −0.314435 + 0.263843i
\(269\) −16.6789 6.07061i −1.01693 0.370131i −0.220838 0.975310i \(-0.570879\pi\)
−0.796089 + 0.605179i \(0.793101\pi\)
\(270\) 0.865953 4.91106i 0.0527002 0.298878i
\(271\) 1.89657 + 10.7560i 0.115208 + 0.653380i 0.986647 + 0.162875i \(0.0520766\pi\)
−0.871438 + 0.490505i \(0.836812\pi\)
\(272\) 2.40454 0.875181i 0.145797 0.0530656i
\(273\) −7.18082 + 12.4375i −0.434603 + 0.752755i
\(274\) 6.82538 + 11.8219i 0.412337 + 0.714188i
\(275\) 4.94804 + 4.15190i 0.298378 + 0.250369i
\(276\) 11.5831 + 9.71939i 0.697222 + 0.585039i
\(277\) −4.52983 7.84590i −0.272171 0.471414i 0.697246 0.716832i \(-0.254408\pi\)
−0.969418 + 0.245417i \(0.921075\pi\)
\(278\) 1.20851 2.09320i 0.0724816 0.125542i
\(279\) 0.292156 0.106336i 0.0174909 0.00636618i
\(280\) −0.236417 1.34079i −0.0141286 0.0801274i
\(281\) 2.65688 15.0679i 0.158496 0.898876i −0.797023 0.603948i \(-0.793593\pi\)
0.955520 0.294928i \(-0.0952956\pi\)
\(282\) −16.0540 5.84318i −0.956003 0.347957i
\(283\) −7.54574 + 6.33163i −0.448548 + 0.376376i −0.838897 0.544291i \(-0.816799\pi\)
0.390349 + 0.920667i \(0.372354\pi\)
\(284\) 1.93759 0.114975
\(285\) 2.45445 + 7.42883i 0.145389 + 0.440046i
\(286\) −37.9607 −2.24466
\(287\) −5.72041 + 4.79999i −0.337665 + 0.283335i
\(288\) 0.208307 + 0.0758175i 0.0122746 + 0.00446759i
\(289\) −1.81501 + 10.2935i −0.106766 + 0.605498i
\(290\) −0.774248 4.39098i −0.0454654 0.257847i
\(291\) 0.208237 0.0757922i 0.0122071 0.00444302i
\(292\) 3.14173 5.44163i 0.183856 0.318447i
\(293\) −4.08936 7.08299i −0.238903 0.413792i 0.721497 0.692418i \(-0.243455\pi\)
−0.960400 + 0.278625i \(0.910121\pi\)
\(294\) 7.07617 + 5.93761i 0.412690 + 0.346288i
\(295\) −7.87687 6.60948i −0.458609 0.384819i
\(296\) −2.21481 3.83616i −0.128733 0.222972i
\(297\) 16.1055 27.8955i 0.934534 1.61866i
\(298\) −2.08531 + 0.758990i −0.120799 + 0.0439671i
\(299\) 8.59717 + 48.7570i 0.497187 + 2.81969i
\(300\) 0.311682 1.76763i 0.0179949 0.102054i
\(301\) −8.76875 3.19157i −0.505423 0.183959i
\(302\) 8.94516 7.50588i 0.514736 0.431915i
\(303\) 24.5078 1.40794
\(304\) 4.31343 0.627978i 0.247392 0.0360170i
\(305\) 6.46322 0.370083
\(306\) 0.434528 0.364612i 0.0248403 0.0208435i
\(307\) 5.68175 + 2.06799i 0.324275 + 0.118026i 0.499028 0.866586i \(-0.333691\pi\)
−0.174753 + 0.984612i \(0.555913\pi\)
\(308\) 1.52707 8.66043i 0.0870127 0.493474i
\(309\) −2.14259 12.1512i −0.121888 0.691259i
\(310\) −1.31794 + 0.479693i −0.0748542 + 0.0272447i
\(311\) −16.5582 + 28.6797i −0.938932 + 1.62628i −0.171463 + 0.985191i \(0.554849\pi\)
−0.767468 + 0.641087i \(0.778484\pi\)
\(312\) 5.27431 + 9.13537i 0.298599 + 0.517188i
\(313\) −4.72802 3.96728i −0.267244 0.224244i 0.499312 0.866423i \(-0.333586\pi\)
−0.766555 + 0.642179i \(0.778031\pi\)
\(314\) 3.18927 + 2.67611i 0.179981 + 0.151022i
\(315\) −0.150903 0.261371i −0.00850240 0.0147266i
\(316\) 1.79503 3.10908i 0.100978 0.174900i
\(317\) 15.4171 5.61135i 0.865908 0.315165i 0.129399 0.991593i \(-0.458695\pi\)
0.736509 + 0.676428i \(0.236473\pi\)
\(318\) −1.37939 7.82293i −0.0773525 0.438688i
\(319\) 5.00103 28.3623i 0.280004 1.58798i
\(320\) −0.939693 0.342020i −0.0525304 0.0191195i
\(321\) 12.1550 10.1992i 0.678425 0.569266i
\(322\) −11.4694 −0.639163
\(323\) 4.12710 10.3622i 0.229638 0.576566i
\(324\) −9.61589 −0.534216
\(325\) 4.50203 3.77765i 0.249728 0.209546i
\(326\) 4.51272 + 1.64249i 0.249936 + 0.0909694i
\(327\) −2.96599 + 16.8210i −0.164020 + 0.930202i
\(328\) 0.952434 + 5.40152i 0.0525894 + 0.298249i
\(329\) 12.1773 4.43218i 0.671357 0.244354i
\(330\) 5.79683 10.0404i 0.319105 0.552706i
\(331\) −8.53392 14.7812i −0.469066 0.812447i 0.530308 0.847805i \(-0.322076\pi\)
−0.999375 + 0.0353579i \(0.988743\pi\)
\(332\) −10.3411 8.67725i −0.567544 0.476226i
\(333\) −0.752208 0.631178i −0.0412208 0.0345883i
\(334\) −1.93358 3.34906i −0.105801 0.183252i
\(335\) 3.35981 5.81936i 0.183566 0.317946i
\(336\) −2.29634 + 0.835798i −0.125275 + 0.0455965i
\(337\) 3.27441 + 18.5701i 0.178368 + 1.01158i 0.934184 + 0.356792i \(0.116130\pi\)
−0.755816 + 0.654785i \(0.772759\pi\)
\(338\) −3.74020 + 21.2117i −0.203440 + 1.15377i
\(339\) 18.6880 + 6.80187i 1.01499 + 0.369427i
\(340\) −1.96020 + 1.64480i −0.106307 + 0.0892019i
\(341\) −9.05922 −0.490584
\(342\) 0.850905 0.457845i 0.0460117 0.0247574i
\(343\) −16.5370 −0.892913
\(344\) −5.25046 + 4.40566i −0.283086 + 0.237537i
\(345\) −14.2088 5.17158i −0.764976 0.278429i
\(346\) −2.00370 + 11.3636i −0.107720 + 0.610909i
\(347\) 0.939047 + 5.32560i 0.0504107 + 0.285893i 0.999583 0.0288626i \(-0.00918852\pi\)
−0.949173 + 0.314756i \(0.898077\pi\)
\(348\) −7.52033 + 2.73718i −0.403132 + 0.146728i
\(349\) 18.1540 31.4436i 0.971761 1.68314i 0.281526 0.959554i \(-0.409159\pi\)
0.690235 0.723586i \(-0.257507\pi\)
\(350\) 0.680736 + 1.17907i 0.0363869 + 0.0630239i
\(351\) −22.4508 18.8385i −1.19834 1.00552i
\(352\) −4.94804 4.15190i −0.263731 0.221297i
\(353\) 0.614958 + 1.06514i 0.0327309 + 0.0566916i 0.881927 0.471386i \(-0.156246\pi\)
−0.849196 + 0.528078i \(0.822913\pi\)
\(354\) −9.22807 + 15.9835i −0.490466 + 0.849513i
\(355\) −1.82074 + 0.662695i −0.0966348 + 0.0351722i
\(356\) −0.329236 1.86719i −0.0174495 0.0989610i
\(357\) −1.08584 + 6.15810i −0.0574687 + 0.325921i
\(358\) 7.87426 + 2.86600i 0.416168 + 0.151473i
\(359\) −11.5897 + 9.72494i −0.611683 + 0.513263i −0.895177 0.445711i \(-0.852951\pi\)
0.283494 + 0.958974i \(0.408506\pi\)
\(360\) −0.221676 −0.0116833
\(361\) 10.4684 15.8560i 0.550967 0.834527i
\(362\) 10.6256 0.558470
\(363\) 42.2411 35.4445i 2.21709 1.86036i
\(364\) −7.51881 2.73662i −0.394093 0.143438i
\(365\) −1.09111 + 6.18799i −0.0571113 + 0.323894i
\(366\) −2.01447 11.4246i −0.105298 0.597174i
\(367\) 1.98697 0.723196i 0.103719 0.0377505i −0.289640 0.957136i \(-0.593535\pi\)
0.393358 + 0.919385i \(0.371313\pi\)
\(368\) −4.21212 + 7.29560i −0.219572 + 0.380310i
\(369\) 0.607928 + 1.05296i 0.0316475 + 0.0548151i
\(370\) 3.39328 + 2.84730i 0.176408 + 0.148024i
\(371\) 4.61572 + 3.87305i 0.239636 + 0.201079i
\(372\) 1.25870 + 2.18013i 0.0652605 + 0.113035i
\(373\) −2.51876 + 4.36262i −0.130416 + 0.225888i −0.923837 0.382786i \(-0.874965\pi\)
0.793421 + 0.608674i \(0.208298\pi\)
\(374\) −15.5314 + 5.65298i −0.803111 + 0.292308i
\(375\) 0.311682 + 1.76763i 0.0160952 + 0.0912802i
\(376\) 1.65283 9.37364i 0.0852380 0.483409i
\(377\) −24.6235 8.96223i −1.26818 0.461579i
\(378\) 5.20100 4.36415i 0.267510 0.224468i
\(379\) 37.2812 1.91501 0.957503 0.288423i \(-0.0931308\pi\)
0.957503 + 0.288423i \(0.0931308\pi\)
\(380\) −3.83851 + 2.06538i −0.196912 + 0.105952i
\(381\) 16.4993 0.845282
\(382\) −8.31264 + 6.97514i −0.425312 + 0.356879i
\(383\) −13.9869 5.09082i −0.714698 0.260129i −0.0410250 0.999158i \(-0.513062\pi\)
−0.673673 + 0.739029i \(0.735285\pi\)
\(384\) −0.311682 + 1.76763i −0.0159054 + 0.0902042i
\(385\) 1.52707 + 8.66043i 0.0778266 + 0.441376i
\(386\) 1.81949 0.662240i 0.0926096 0.0337071i
\(387\) −0.759681 + 1.31581i −0.0386168 + 0.0668862i
\(388\) 0.0617308 + 0.106921i 0.00313391 + 0.00542808i
\(389\) 23.6259 + 19.8245i 1.19788 + 1.00514i 0.999688 + 0.0249764i \(0.00795105\pi\)
0.198191 + 0.980163i \(0.436493\pi\)
\(390\) −8.08071 6.78052i −0.409183 0.343345i
\(391\) 10.7782 + 18.6684i 0.545078 + 0.944102i
\(392\) −2.57320 + 4.45691i −0.129966 + 0.225108i
\(393\) −0.186538 + 0.0678943i −0.00940960 + 0.00342482i
\(394\) −2.12787 12.0678i −0.107201 0.607966i
\(395\) −0.623407 + 3.53552i −0.0313670 + 0.177891i
\(396\) −1.34550 0.489721i −0.0676138 0.0246094i
\(397\) −16.9711 + 14.2405i −0.851756 + 0.714708i −0.960176 0.279397i \(-0.909865\pi\)
0.108420 + 0.994105i \(0.465421\pi\)
\(398\) 0.432975 0.0217031
\(399\) −3.94138 + 9.89586i −0.197316 + 0.495413i
\(400\) 1.00000 0.0500000
\(401\) 23.8011 19.9715i 1.18857 0.997330i 0.188688 0.982037i \(-0.439576\pi\)
0.999883 0.0152927i \(-0.00486799\pi\)
\(402\) −11.3337 4.12513i −0.565273 0.205743i
\(403\) −1.43132 + 8.11741i −0.0712990 + 0.404357i
\(404\) 2.37101 + 13.4467i 0.117962 + 0.668997i
\(405\) 9.03598 3.28883i 0.449001 0.163423i
\(406\) 3.03521 5.25714i 0.150635 0.260907i
\(407\) 14.3059 + 24.7786i 0.709118 + 1.22823i
\(408\) 3.51836 + 2.95226i 0.174185 + 0.146159i
\(409\) 1.56037 + 1.30931i 0.0771554 + 0.0647411i 0.680550 0.732702i \(-0.261741\pi\)
−0.603394 + 0.797443i \(0.706185\pi\)
\(410\) −2.74242 4.75002i −0.135439 0.234587i
\(411\) −12.2509 + 21.2192i −0.604292 + 1.04667i
\(412\) 6.45971 2.35114i 0.318247 0.115833i
\(413\) −2.43097 13.7867i −0.119620 0.678399i
\(414\) −0.324279 + 1.83908i −0.0159374 + 0.0903857i
\(415\) 12.6853 + 4.61707i 0.622696 + 0.226643i
\(416\) −4.50203 + 3.77765i −0.220730 + 0.185215i
\(417\) 4.33832 0.212448
\(418\) −27.8613 + 4.05624i −1.36274 + 0.198397i
\(419\) −11.2236 −0.548308 −0.274154 0.961686i \(-0.588398\pi\)
−0.274154 + 0.961686i \(0.588398\pi\)
\(420\) 1.87199 1.57079i 0.0913438 0.0766465i
\(421\) 9.19144 + 3.34541i 0.447964 + 0.163045i 0.556144 0.831086i \(-0.312280\pi\)
−0.108181 + 0.994131i \(0.534502\pi\)
\(422\) 2.38680 13.5362i 0.116187 0.658932i
\(423\) −0.366391 2.07791i −0.0178146 0.101031i
\(424\) 4.15875 1.51366i 0.201967 0.0735099i
\(425\) 1.27943 2.21604i 0.0620614 0.107493i
\(426\) 1.73889 + 3.01185i 0.0842496 + 0.145925i
\(427\) 6.74080 + 5.65620i 0.326210 + 0.273723i
\(428\) 6.77195 + 5.68234i 0.327335 + 0.274666i
\(429\) −34.0679 59.0073i −1.64481 2.84890i
\(430\) 3.42699 5.93573i 0.165264 0.286246i
\(431\) 4.58045 1.66715i 0.220633 0.0803037i −0.229339 0.973347i \(-0.573656\pi\)
0.449971 + 0.893043i \(0.351434\pi\)
\(432\) −0.865953 4.91106i −0.0416632 0.236284i
\(433\) −3.45838 + 19.6135i −0.166199 + 0.942563i 0.781620 + 0.623755i \(0.214394\pi\)
−0.947819 + 0.318808i \(0.896717\pi\)
\(434\) −1.79434 0.653088i −0.0861313 0.0313492i
\(435\) 6.13063 5.14421i 0.293941 0.246646i
\(436\) −9.51609 −0.455738
\(437\) 11.5198 + 34.8666i 0.551066 + 1.66790i
\(438\) 11.2782 0.538892
\(439\) −16.3249 + 13.6982i −0.779145 + 0.653780i −0.943033 0.332699i \(-0.892041\pi\)
0.163888 + 0.986479i \(0.447596\pi\)
\(440\) 6.06967 + 2.20918i 0.289360 + 0.105319i
\(441\) −0.198103 + 1.12350i −0.00943348 + 0.0534999i
\(442\) 2.61138 + 14.8099i 0.124211 + 0.704435i
\(443\) 5.81205 2.11541i 0.276139 0.100506i −0.200239 0.979747i \(-0.564172\pi\)
0.476377 + 0.879241i \(0.341950\pi\)
\(444\) 3.97537 6.88554i 0.188662 0.326773i
\(445\) 0.947998 + 1.64198i 0.0449394 + 0.0778374i
\(446\) 17.2475 + 14.4723i 0.816691 + 0.685285i
\(447\) −3.05126 2.56031i −0.144320 0.121099i
\(448\) −0.680736 1.17907i −0.0321617 0.0557058i
\(449\) −20.3687 + 35.2797i −0.961260 + 1.66495i −0.241914 + 0.970298i \(0.577775\pi\)
−0.719345 + 0.694653i \(0.755558\pi\)
\(450\) 0.208307 0.0758175i 0.00981968 0.00357407i
\(451\) −6.15197 34.8896i −0.289685 1.64288i
\(452\) −1.92400 + 10.9116i −0.0904975 + 0.513237i
\(453\) 19.6952 + 7.16847i 0.925362 + 0.336804i
\(454\) 14.4325 12.1103i 0.677353 0.568366i
\(455\) 8.00135 0.375109
\(456\) 4.84724 + 6.14134i 0.226993 + 0.287595i
\(457\) 14.7073 0.687978 0.343989 0.938974i \(-0.388222\pi\)
0.343989 + 0.938974i \(0.388222\pi\)
\(458\) 3.46121 2.90430i 0.161732 0.135709i
\(459\) −11.9910 4.36437i −0.559692 0.203711i
\(460\) 1.46285 8.29626i 0.0682059 0.386815i
\(461\) −2.43148 13.7896i −0.113245 0.642245i −0.987604 0.156966i \(-0.949829\pi\)
0.874359 0.485280i \(-0.161282\pi\)
\(462\) 14.8325 5.39859i 0.690071 0.251165i
\(463\) −1.13697 + 1.96929i −0.0528394 + 0.0915206i −0.891235 0.453541i \(-0.850160\pi\)
0.838396 + 0.545062i \(0.183494\pi\)
\(464\) −2.22936 3.86136i −0.103495 0.179259i
\(465\) −1.92844 1.61815i −0.0894293 0.0750401i
\(466\) 8.24507 + 6.91843i 0.381945 + 0.320490i
\(467\) 14.7327 + 25.5178i 0.681749 + 1.18082i 0.974447 + 0.224618i \(0.0721136\pi\)
−0.292698 + 0.956205i \(0.594553\pi\)
\(468\) −0.651392 + 1.12824i −0.0301106 + 0.0521531i
\(469\) 8.59685 3.12900i 0.396966 0.144484i
\(470\) 1.65283 + 9.37364i 0.0762392 + 0.432374i
\(471\) −1.29762 + 7.35917i −0.0597912 + 0.339093i
\(472\) −9.66242 3.51683i −0.444749 0.161875i
\(473\) 33.9138 28.4571i 1.55936 1.30846i
\(474\) 6.44381 0.295974
\(475\) 2.90062 3.25368i 0.133090 0.149289i
\(476\) −3.48381 −0.159680
\(477\) 0.751534 0.630612i 0.0344104 0.0288738i
\(478\) 21.9907 + 8.00397i 1.00583 + 0.366093i
\(479\) 3.55187 20.1437i 0.162289 0.920387i −0.789527 0.613716i \(-0.789674\pi\)
0.951816 0.306671i \(-0.0992150\pi\)
\(480\) −0.311682 1.76763i −0.0142263 0.0806811i
\(481\) 24.4628 8.90374i 1.11541 0.405976i
\(482\) −10.4477 + 18.0960i −0.475880 + 0.824248i
\(483\) −10.2932 17.8283i −0.468357 0.811217i
\(484\) 23.5339 + 19.7473i 1.06972 + 0.897606i
\(485\) −0.0945771 0.0793596i −0.00429452 0.00360353i
\(486\) −1.14956 1.99109i −0.0521450 0.0903178i
\(487\) −14.5597 + 25.2182i −0.659765 + 1.14275i 0.320912 + 0.947109i \(0.396011\pi\)
−0.980676 + 0.195637i \(0.937323\pi\)
\(488\) 6.07344 2.21055i 0.274932 0.100067i
\(489\) 1.49680 + 8.48877i 0.0676876 + 0.383875i
\(490\) 0.893662 5.06821i 0.0403715 0.228958i
\(491\) −15.6448 5.69426i −0.706042 0.256978i −0.0360537 0.999350i \(-0.511479\pi\)
−0.669988 + 0.742372i \(0.733701\pi\)
\(492\) −7.54153 + 6.32809i −0.339998 + 0.285293i
\(493\) −11.4092 −0.513846
\(494\) −0.767422 + 25.6057i −0.0345279 + 1.15205i
\(495\) 1.43185 0.0643568
\(496\) −1.07440 + 0.901527i −0.0482419 + 0.0404798i
\(497\) −2.47888 0.902240i −0.111193 0.0404710i
\(498\) 4.20752 23.8620i 0.188543 1.06928i
\(499\) 5.09005 + 28.8671i 0.227862 + 1.29227i 0.857138 + 0.515087i \(0.172240\pi\)
−0.629276 + 0.777182i \(0.716649\pi\)
\(500\) −0.939693 + 0.342020i −0.0420243 + 0.0152956i
\(501\) 3.47058 6.01123i 0.155054 0.268562i
\(502\) −8.95251 15.5062i −0.399570 0.692075i
\(503\) 5.41129 + 4.54061i 0.241277 + 0.202456i 0.755405 0.655258i \(-0.227440\pi\)
−0.514128 + 0.857713i \(0.671884\pi\)
\(504\) −0.231196 0.193997i −0.0102983 0.00864129i
\(505\) −6.82705 11.8248i −0.303800 0.526197i
\(506\) 27.2070 47.1238i 1.20950 2.09491i
\(507\) −36.3288 + 13.2226i −1.61342 + 0.587237i
\(508\) 1.59622 + 9.05263i 0.0708209 + 0.401646i
\(509\) 2.11320 11.9846i 0.0936661 0.531207i −0.901482 0.432817i \(-0.857520\pi\)
0.995148 0.0983900i \(-0.0313693\pi\)
\(510\) −4.31591 1.57086i −0.191112 0.0695590i
\(511\) −6.55331 + 5.49888i −0.289901 + 0.243256i
\(512\) −1.00000 −0.0441942
\(513\) −18.4908 11.4276i −0.816389 0.504540i
\(514\) 0.486888 0.0214757
\(515\) −5.26601 + 4.41870i −0.232048 + 0.194711i
\(516\) −11.5603 4.20761i −0.508915 0.185230i
\(517\) −10.6760 + 60.5463i −0.469528 + 2.66282i
\(518\) 1.04724 + 5.93918i 0.0460130 + 0.260952i
\(519\) −19.4621 + 7.08363i −0.854292 + 0.310937i
\(520\) 2.93849 5.08962i 0.128861 0.223195i
\(521\) −12.6575 21.9234i −0.554535 0.960483i −0.997940 0.0641611i \(-0.979563\pi\)
0.443405 0.896322i \(-0.353770\pi\)
\(522\) −0.757150 0.635324i −0.0331396 0.0278074i
\(523\) 33.1069 + 27.7800i 1.44766 + 1.21473i 0.934263 + 0.356583i \(0.116058\pi\)
0.513399 + 0.858150i \(0.328386\pi\)
\(524\) −0.0552982 0.0957793i −0.00241571 0.00418414i
\(525\) −1.22185 + 2.11631i −0.0533261 + 0.0923635i
\(526\) −20.7375 + 7.54785i −0.904200 + 0.329102i
\(527\) 0.623200 + 3.53434i 0.0271470 + 0.153958i
\(528\) 2.01322 11.4175i 0.0876140 0.496884i
\(529\) −45.0750 16.4060i −1.95978 0.713302i
\(530\) −3.39024 + 2.84475i −0.147263 + 0.123568i
\(531\) −2.27939 −0.0989169
\(532\) −5.81086 1.20514i −0.251933 0.0522493i
\(533\) −32.2344 −1.39623
\(534\) 2.60695 2.18749i 0.112814 0.0946619i
\(535\) −8.30703 3.02351i −0.359144 0.130718i
\(536\) 1.16685 6.61753i 0.0504002 0.285834i
\(537\) 2.61177 + 14.8121i 0.112706 + 0.639189i
\(538\) 16.6789 6.07061i 0.719076 0.261722i
\(539\) 16.6208 28.7881i 0.715909 1.23999i
\(540\) 2.49341 + 4.31871i 0.107299 + 0.185848i
\(541\) −16.8919 14.1740i −0.726240 0.609388i 0.202864 0.979207i \(-0.434975\pi\)
−0.929104 + 0.369819i \(0.879420\pi\)
\(542\) −8.36667 7.02047i −0.359379 0.301555i
\(543\) 9.53597 + 16.5168i 0.409228 + 0.708803i
\(544\) −1.27943 + 2.21604i −0.0548550 + 0.0950117i
\(545\) 8.94220 3.25470i 0.383042 0.139416i
\(546\) −2.49387 14.1435i −0.106728 0.605284i
\(547\) 4.17215 23.6615i 0.178388 1.01169i −0.755771 0.654836i \(-0.772738\pi\)
0.934160 0.356855i \(-0.116151\pi\)
\(548\) −12.8275 4.66884i −0.547965 0.199443i
\(549\) 1.09754 0.920946i 0.0468419 0.0393050i
\(550\) −6.45921 −0.275422
\(551\) −19.0301 3.94673i −0.810712 0.168137i
\(552\) −15.1207 −0.643579
\(553\) −3.74424 + 3.14179i −0.159221 + 0.133603i
\(554\) 8.51330 + 3.09859i 0.361695 + 0.131646i
\(555\) −1.38063 + 7.82994i −0.0586045 + 0.332363i
\(556\) 0.419711 + 2.38030i 0.0177997 + 0.100947i
\(557\) −4.28175 + 1.55843i −0.181424 + 0.0660328i −0.431135 0.902288i \(-0.641887\pi\)
0.249711 + 0.968320i \(0.419664\pi\)
\(558\) −0.155453 + 0.269253i −0.00658085 + 0.0113984i
\(559\) −20.1404 34.8842i −0.851848 1.47544i
\(560\) 1.04295 + 0.875137i 0.0440726 + 0.0369813i
\(561\) −22.7259 19.0693i −0.959486 0.805105i
\(562\) 7.65018 + 13.2505i 0.322703 + 0.558939i
\(563\) 11.5030 19.9237i 0.484792 0.839684i −0.515056 0.857157i \(-0.672229\pi\)
0.999847 + 0.0174729i \(0.00556209\pi\)
\(564\) 16.0540 5.84318i 0.675996 0.246042i
\(565\) −1.92400 10.9116i −0.0809434 0.459053i
\(566\) 1.71048 9.70062i 0.0718969 0.407747i
\(567\) 12.3022 + 4.47765i 0.516645 + 0.188043i
\(568\) −1.48428 + 1.24546i −0.0622790 + 0.0522583i
\(569\) −39.2546 −1.64564 −0.822819 0.568303i \(-0.807600\pi\)
−0.822819 + 0.568303i \(0.807600\pi\)
\(570\) −6.65538 4.11312i −0.278763 0.172280i
\(571\) −20.4203 −0.854563 −0.427282 0.904119i \(-0.640529\pi\)
−0.427282 + 0.904119i \(0.640529\pi\)
\(572\) 29.0796 24.4007i 1.21588 1.02024i
\(573\) −18.3026 6.66159i −0.764601 0.278292i
\(574\) 1.29671 7.35402i 0.0541237 0.306951i
\(575\) 1.46285 + 8.29626i 0.0610052 + 0.345978i
\(576\) −0.208307 + 0.0758175i −0.00867946 + 0.00315906i
\(577\) 11.0328 19.1093i 0.459300 0.795531i −0.539624 0.841906i \(-0.681434\pi\)
0.998924 + 0.0463754i \(0.0147670\pi\)
\(578\) −5.22613 9.05191i −0.217378 0.376510i
\(579\) 2.66231 + 2.23394i 0.110642 + 0.0928396i
\(580\) 3.41558 + 2.86601i 0.141824 + 0.119005i
\(581\) 9.18953 + 15.9167i 0.381246 + 0.660337i
\(582\) −0.110801 + 0.191913i −0.00459284 + 0.00795503i
\(583\) −26.8622 + 9.77706i −1.11252 + 0.404924i
\(584\) 1.09111 + 6.18799i 0.0451504 + 0.256061i
\(585\) 0.226226 1.28299i 0.00935330 0.0530452i
\(586\) 7.68549 + 2.79729i 0.317485 + 0.115555i
\(587\) −2.17270 + 1.82311i −0.0896768 + 0.0752478i −0.686524 0.727107i \(-0.740864\pi\)
0.596847 + 0.802355i \(0.296420\pi\)
\(588\) −9.23728 −0.380939
\(589\) −0.183143 + 6.11073i −0.00754629 + 0.251788i
\(590\) 10.2825 0.423325
\(591\) 16.8489 14.1379i 0.693070 0.581554i
\(592\) 4.16248 + 1.51502i 0.171077 + 0.0622669i
\(593\) −7.28557 + 41.3185i −0.299183 + 1.69675i 0.350515 + 0.936557i \(0.386006\pi\)
−0.649698 + 0.760192i \(0.725105\pi\)
\(594\) 5.59337 + 31.7216i 0.229499 + 1.30155i
\(595\) 3.27371 1.19153i 0.134209 0.0488481i
\(596\) 1.10957 1.92183i 0.0454498 0.0787213i
\(597\) 0.388574 + 0.673031i 0.0159033 + 0.0275453i
\(598\) −37.9262 31.8238i −1.55092 1.30137i
\(599\) −23.2333 19.4950i −0.949286 0.796546i 0.0298911 0.999553i \(-0.490484\pi\)
−0.979177 + 0.203008i \(0.934928\pi\)
\(600\) 0.897451 + 1.55443i 0.0366383 + 0.0634594i
\(601\) −16.4125 + 28.4274i −0.669482 + 1.15958i 0.308568 + 0.951202i \(0.400150\pi\)
−0.978049 + 0.208374i \(0.933183\pi\)
\(602\) 8.76875 3.19157i 0.357388 0.130078i
\(603\) −0.258662 1.46695i −0.0105335 0.0597387i
\(604\) −2.02770 + 11.4997i −0.0825060 + 0.467915i
\(605\) −28.8687 10.5073i −1.17368 0.427184i
\(606\) −18.7741 + 15.7533i −0.762644 + 0.639934i
\(607\) −7.07201 −0.287044 −0.143522 0.989647i \(-0.545843\pi\)
−0.143522 + 0.989647i \(0.545843\pi\)
\(608\) −2.90062 + 3.25368i −0.117636 + 0.131954i
\(609\) 10.8958 0.441521
\(610\) −4.95111 + 4.15448i −0.200465 + 0.168210i
\(611\) 52.5651 + 19.1321i 2.12656 + 0.774003i
\(612\) −0.0984995 + 0.558619i −0.00398161 + 0.0225808i
\(613\) −3.66501 20.7853i −0.148028 0.839510i −0.964886 0.262670i \(-0.915397\pi\)
0.816857 0.576840i \(-0.195714\pi\)
\(614\) −5.68175 + 2.06799i −0.229297 + 0.0834572i
\(615\) 4.92238 8.52582i 0.198490 0.343794i
\(616\) 4.39702 + 7.61585i 0.177161 + 0.306852i
\(617\) −22.4149 18.8083i −0.902390 0.757195i 0.0682659 0.997667i \(-0.478253\pi\)
−0.970656 + 0.240472i \(0.922698\pi\)
\(618\) 9.45197 + 7.93114i 0.380214 + 0.319037i
\(619\) 8.81402 + 15.2663i 0.354265 + 0.613606i 0.986992 0.160770i \(-0.0513976\pi\)
−0.632727 + 0.774375i \(0.718064\pi\)
\(620\) 0.701264 1.21462i 0.0281634 0.0487805i
\(621\) 39.4767 14.3683i 1.58414 0.576581i
\(622\) −5.75062 32.6134i −0.230579 1.30768i
\(623\) −0.448246 + 2.54213i −0.0179586 + 0.101848i
\(624\) −9.91246 3.60784i −0.396816 0.144429i
\(625\) 0.766044 0.642788i 0.0306418 0.0257115i
\(626\) 6.17199 0.246682
\(627\) −31.3093 39.6682i −1.25037 1.58420i
\(628\) −4.16329 −0.166133
\(629\) 8.68293 7.28584i 0.346211 0.290505i
\(630\) 0.283604 + 0.103223i 0.0112991 + 0.00411252i
\(631\) 5.98586 33.9475i 0.238293 1.35143i −0.597273 0.802038i \(-0.703749\pi\)
0.835566 0.549390i \(-0.185140\pi\)
\(632\) 0.623407 + 3.53552i 0.0247978 + 0.140635i
\(633\) 23.1831 8.43797i 0.921447 0.335379i
\(634\) −8.20325 + 14.2084i −0.325793 + 0.564289i
\(635\) −4.59614 7.96075i −0.182392 0.315913i
\(636\) 6.08516 + 5.10605i 0.241292 + 0.202468i
\(637\) −23.1692 19.4413i −0.917998 0.770292i
\(638\) 14.3999 + 24.9414i 0.570097 + 0.987438i
\(639\) −0.214758 + 0.371972i −0.00849570 + 0.0147150i
\(640\) 0.939693 0.342020i 0.0371446 0.0135195i
\(641\) 8.27820 + 46.9480i 0.326969 + 1.85434i 0.495458 + 0.868632i \(0.335000\pi\)
−0.168489 + 0.985704i \(0.553889\pi\)
\(642\) −2.75531 + 15.6262i −0.108744 + 0.616715i
\(643\) 8.90463 + 3.24102i 0.351164 + 0.127813i 0.511579 0.859236i \(-0.329061\pi\)
−0.160414 + 0.987050i \(0.551283\pi\)
\(644\) 8.78604 7.37236i 0.346219 0.290512i
\(645\) 12.3022 0.484400
\(646\) 3.49912 + 10.5907i 0.137671 + 0.416686i
\(647\) 16.8594 0.662810 0.331405 0.943489i \(-0.392477\pi\)
0.331405 + 0.943489i \(0.392477\pi\)
\(648\) 7.36620 6.18097i 0.289372 0.242812i
\(649\) 62.4116 + 22.7160i 2.44987 + 0.891679i
\(650\) −1.02053 + 5.78770i −0.0400284 + 0.227012i
\(651\) −0.595156 3.37530i −0.0233260 0.132288i
\(652\) −4.51272 + 1.64249i −0.176732 + 0.0643250i
\(653\) −5.39386 + 9.34245i −0.211078 + 0.365598i −0.952052 0.305936i \(-0.901031\pi\)
0.740974 + 0.671534i \(0.234364\pi\)
\(654\) −8.54023 14.7921i −0.333949 0.578417i
\(655\) 0.0847217 + 0.0710900i 0.00331035 + 0.00277772i
\(656\) −4.20164 3.52559i −0.164046 0.137651i
\(657\) 0.696444 + 1.20628i 0.0271709 + 0.0470613i
\(658\) −6.47941 + 11.2227i −0.252594 + 0.437505i
\(659\) 18.6209 6.77745i 0.725367 0.264012i 0.0471644 0.998887i \(-0.484982\pi\)
0.678202 + 0.734875i \(0.262759\pi\)
\(660\) 2.01322 + 11.4175i 0.0783643 + 0.444426i
\(661\) −4.06094 + 23.0307i −0.157952 + 0.895792i 0.798084 + 0.602546i \(0.205847\pi\)
−0.956037 + 0.293247i \(0.905264\pi\)
\(662\) 16.0385 + 5.83754i 0.623355 + 0.226883i
\(663\) −20.6774 + 17.3504i −0.803043 + 0.673833i
\(664\) 13.4994 0.523878
\(665\) 5.87261 0.854974i 0.227730 0.0331545i
\(666\) 0.981938 0.0380493
\(667\) 28.7736 24.1439i 1.11412 0.934857i
\(668\) 3.63394 + 1.32265i 0.140601 + 0.0511747i
\(669\) −7.01750 + 39.7982i −0.271312 + 1.53869i
\(670\) 1.16685 + 6.61753i 0.0450793 + 0.255658i
\(671\) −39.2296 + 14.2784i −1.51444 + 0.551212i
\(672\) 1.22185 2.11631i 0.0471341 0.0816386i
\(673\) 10.9881 + 19.0320i 0.423560 + 0.733628i 0.996285 0.0861200i \(-0.0274468\pi\)
−0.572724 + 0.819748i \(0.694113\pi\)
\(674\) −14.4450 12.1208i −0.556399 0.466874i
\(675\) −3.82013 3.20547i −0.147037 0.123378i
\(676\) −10.7695 18.6533i −0.414210 0.717434i
\(677\) 23.2278 40.2317i 0.892716 1.54623i 0.0561091 0.998425i \(-0.482131\pi\)
0.836607 0.547804i \(-0.184536\pi\)
\(678\) −18.6880 + 6.80187i −0.717707 + 0.261224i
\(679\) −0.0291884 0.165536i −0.00112015 0.00635268i
\(680\) 0.444341 2.51998i 0.0170397 0.0966369i
\(681\) 31.7772 + 11.5660i 1.21770 + 0.443208i
\(682\) 6.93976 5.82315i 0.265737 0.222980i
\(683\) −13.4198 −0.513496 −0.256748 0.966478i \(-0.582651\pi\)
−0.256748 + 0.966478i \(0.582651\pi\)
\(684\) −0.357534 + 0.897681i −0.0136706 + 0.0343237i
\(685\) 13.6508 0.521569
\(686\) 12.6681 10.6298i 0.483669 0.405846i
\(687\) 7.62081 + 2.77375i 0.290752 + 0.105825i
\(688\) 1.19018 6.74986i 0.0453753 0.257336i
\(689\) 4.51650 + 25.6143i 0.172065 + 0.975828i
\(690\) 14.2088 5.17158i 0.540920 0.196879i
\(691\) 20.9252 36.2436i 0.796033 1.37877i −0.126148 0.992011i \(-0.540261\pi\)
0.922181 0.386759i \(-0.126405\pi\)
\(692\) −5.76944 9.99296i −0.219321 0.379875i
\(693\) 1.49334 + 1.25306i 0.0567275 + 0.0476000i
\(694\) −4.14258 3.47604i −0.157250 0.131949i
\(695\) −1.20851 2.09320i −0.0458414 0.0793997i
\(696\) 4.00148 6.93077i 0.151676 0.262710i
\(697\) −13.1885 + 4.80023i −0.499551 + 0.181822i
\(698\) 6.30481 + 35.7564i 0.238641 + 1.35340i
\(699\) −3.35468 + 19.0253i −0.126886 + 0.719605i
\(700\) −1.27936 0.465651i −0.0483555 0.0175999i
\(701\) 20.5106 17.2104i 0.774674 0.650028i −0.167228 0.985918i \(-0.553481\pi\)
0.941901 + 0.335890i \(0.109037\pi\)
\(702\) 29.3075 1.10614
\(703\) 17.0031 9.14886i 0.641286 0.345056i
\(704\) 6.45921 0.243441
\(705\) −13.0874 + 10.9816i −0.492898 + 0.413591i
\(706\) −1.15574 0.420656i −0.0434970 0.0158316i
\(707\) 3.22806 18.3073i 0.121404 0.688515i
\(708\) −3.20488 18.1757i −0.120447 0.683086i
\(709\) 17.7455 6.45882i 0.666445 0.242566i 0.0134283 0.999910i \(-0.495726\pi\)
0.653016 + 0.757344i \(0.273503\pi\)
\(710\) 0.968795 1.67800i 0.0363582 0.0629743i
\(711\) 0.397914 + 0.689208i 0.0149230 + 0.0258473i
\(712\) 1.45242 + 1.21872i 0.0544317 + 0.0456736i
\(713\) −9.05099 7.59468i −0.338962 0.284423i
\(714\) −3.12655 5.41535i −0.117008 0.202664i
\(715\) −18.9803 + 32.8749i −0.709824 + 1.22945i
\(716\) −7.87426 + 2.86600i −0.294275 + 0.107107i
\(717\) 7.29398 + 41.3662i 0.272399 + 1.54485i
\(718\) 2.62718 14.8995i 0.0980455 0.556044i
\(719\) −30.3154 11.0339i −1.13057 0.411496i −0.292074 0.956396i \(-0.594345\pi\)
−0.838501 + 0.544900i \(0.816568\pi\)
\(720\) 0.169813 0.142490i 0.00632857 0.00531030i
\(721\) −9.35914 −0.348553
\(722\) 2.17281 + 18.8754i 0.0808637 + 0.702468i
\(723\) −37.5052 −1.39483
\(724\) −8.13969 + 6.83001i −0.302509 + 0.253835i
\(725\) −4.18982 1.52497i −0.155606 0.0566360i
\(726\) −9.57529 + 54.3042i −0.355372 + 2.01542i
\(727\) −3.11002 17.6378i −0.115344 0.654150i −0.986579 0.163284i \(-0.947791\pi\)
0.871235 0.490866i \(-0.163320\pi\)
\(728\) 7.51881 2.73662i 0.278666 0.101426i
\(729\) −12.3605 + 21.4090i −0.457796 + 0.792926i
\(730\) −3.14173 5.44163i −0.116280 0.201404i
\(731\) −13.4352 11.2735i −0.496918 0.416964i
\(732\) 8.88676 + 7.45688i 0.328464 + 0.275614i
\(733\) 23.9071 + 41.4082i 0.883027 + 1.52945i 0.847958 + 0.530063i \(0.177832\pi\)
0.0350693 + 0.999385i \(0.488835\pi\)
\(734\) −1.05724 + 1.83120i −0.0390235 + 0.0675907i
\(735\) 8.68020 3.15933i 0.320174 0.116534i
\(736\) −1.46285 8.29626i −0.0539215 0.305804i
\(737\) −7.53693 + 42.7440i −0.277626 + 1.57450i
\(738\) −1.14253 0.415848i −0.0420572 0.0153076i
\(739\) −2.75913 + 2.31519i −0.101496 + 0.0851656i −0.692124 0.721779i \(-0.743325\pi\)
0.590627 + 0.806944i \(0.298880\pi\)
\(740\) −4.42962 −0.162836
\(741\) −40.4910 + 21.7870i −1.48747 + 0.800364i
\(742\) −6.02540 −0.221199
\(743\) −2.38245 + 1.99911i −0.0874036 + 0.0733403i −0.685443 0.728127i \(-0.740391\pi\)
0.598039 + 0.801467i \(0.295947\pi\)
\(744\) −2.36558 0.861001i −0.0867264 0.0315658i
\(745\) −0.385350 + 2.18543i −0.0141181 + 0.0800678i
\(746\) −0.874756 4.96099i −0.0320271 0.181635i
\(747\) 2.81202 1.02349i 0.102886 0.0374476i
\(748\) 8.26410 14.3138i 0.302165 0.523366i
\(749\) −6.01781 10.4231i −0.219886 0.380854i
\(750\) −1.37498 1.15374i −0.0502070 0.0421287i
\(751\) 15.5562 + 13.0532i 0.567654 + 0.476318i 0.880866 0.473365i \(-0.156961\pi\)
−0.313213 + 0.949683i \(0.601405\pi\)
\(752\) 4.75912 + 8.24304i 0.173547 + 0.300593i
\(753\) 16.0689 27.8321i 0.585582 1.01426i
\(754\) 24.6235 8.96223i 0.896736 0.326385i
\(755\) −2.02770 11.4997i −0.0737956 0.418516i
\(756\) −1.17897 + 6.68627i −0.0428787 + 0.243177i
\(757\) 36.7396 + 13.3721i 1.33532 + 0.486018i 0.908337 0.418239i \(-0.137353\pi\)
0.426987 + 0.904258i \(0.359575\pi\)
\(758\) −28.5591 + 23.9639i −1.03731 + 0.870408i
\(759\) 97.6677 3.54511
\(760\) 1.61287 4.04953i 0.0585049 0.146892i
\(761\) 4.22431 0.153131 0.0765656 0.997065i \(-0.475605\pi\)
0.0765656 + 0.997065i \(0.475605\pi\)
\(762\) −12.6392 + 10.6055i −0.457868 + 0.384197i
\(763\) 12.1746 + 4.43118i 0.440748 + 0.160419i
\(764\) 1.88432 10.6865i 0.0681724 0.386625i
\(765\) −0.0984995 0.558619i −0.00356126 0.0201969i
\(766\) 13.9869 5.09082i 0.505368 0.183939i
\(767\) 30.2151 52.3341i 1.09101 1.88968i
\(768\) −0.897451 1.55443i −0.0323840 0.0560907i
\(769\) 28.9268 + 24.2725i 1.04313 + 0.875288i 0.992354 0.123422i \(-0.0393869\pi\)
0.0507735 + 0.998710i \(0.483831\pi\)
\(770\) −6.73662 5.65269i −0.242771 0.203709i
\(771\) 0.436958 + 0.756833i 0.0157367 + 0.0272567i
\(772\) −0.968131 + 1.67685i −0.0348438 + 0.0603512i