Properties

Label 225.2.q.a.106.12
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.12
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.745950 - 0.158557i) q^{2} +(1.13811 - 1.30565i) q^{3} +(-1.29579 - 0.576923i) q^{4} +(-1.26382 - 1.84465i) q^{5} +(-1.05599 + 0.793494i) q^{6} +(-0.476660 + 0.825599i) q^{7} +(2.10906 + 1.53232i) q^{8} +(-0.409434 - 2.97193i) q^{9} +O(q^{10})\) \(q+(-0.745950 - 0.158557i) q^{2} +(1.13811 - 1.30565i) q^{3} +(-1.29579 - 0.576923i) q^{4} +(-1.26382 - 1.84465i) q^{5} +(-1.05599 + 0.793494i) q^{6} +(-0.476660 + 0.825599i) q^{7} +(2.10906 + 1.53232i) q^{8} +(-0.409434 - 2.97193i) q^{9} +(0.650268 + 1.57641i) q^{10} +(-2.83092 - 0.601732i) q^{11} +(-2.22800 + 1.03525i) q^{12} +(-1.91095 + 0.406185i) q^{13} +(0.486468 - 0.540278i) q^{14} +(-3.84683 - 0.449300i) q^{15} +(0.567924 + 0.630744i) q^{16} +(-5.51944 - 4.01011i) q^{17} +(-0.165802 + 2.28183i) q^{18} +(3.77403 + 2.74200i) q^{19} +(0.573428 + 3.11941i) q^{20} +(0.535453 + 1.56197i) q^{21} +(2.01632 + 0.897723i) q^{22} +(5.89471 - 6.54674i) q^{23} +(4.40100 - 1.00975i) q^{24} +(-1.80550 + 4.66264i) q^{25} +1.48988 q^{26} +(-4.34627 - 2.84779i) q^{27} +(1.09396 - 0.794807i) q^{28} +(-0.0975850 - 0.928459i) q^{29} +(2.79831 + 0.945095i) q^{30} +(0.277775 - 2.64285i) q^{31} +(-2.93057 - 5.07590i) q^{32} +(-4.00754 + 3.01136i) q^{33} +(3.48139 + 3.86648i) q^{34} +(2.12536 - 0.164140i) q^{35} +(-1.18403 + 4.08721i) q^{36} +(0.799338 - 2.46011i) q^{37} +(-2.38048 - 2.64379i) q^{38} +(-1.64453 + 2.95731i) q^{39} +(0.161121 - 5.82706i) q^{40} +(5.30176 - 1.12692i) q^{41} +(-0.151761 - 1.25005i) q^{42} +(4.43871 - 7.68807i) q^{43} +(3.32113 + 2.41294i) q^{44} +(-4.96473 + 4.51126i) q^{45} +(-5.43519 + 3.94889i) q^{46} +(0.419452 + 3.99082i) q^{47} +(1.46989 - 0.0236566i) q^{48} +(3.04559 + 5.27512i) q^{49} +(2.08610 - 3.19182i) q^{50} +(-11.5175 + 2.64252i) q^{51} +(2.71053 + 0.576140i) q^{52} +(4.30252 - 3.12596i) q^{53} +(2.79057 + 2.81344i) q^{54} +(2.46781 + 5.98256i) q^{55} +(-2.27038 + 1.01084i) q^{56} +(7.87533 - 1.80688i) q^{57} +(-0.0744198 + 0.708057i) q^{58} +(-4.69343 + 0.997620i) q^{59} +(4.72548 + 2.80152i) q^{60} +(10.9896 + 2.33592i) q^{61} +(-0.626247 + 1.92739i) q^{62} +(2.64878 + 1.07857i) q^{63} +(0.856686 + 2.63661i) q^{64} +(3.16438 + 3.01170i) q^{65} +(3.46689 - 1.61090i) q^{66} +(-0.387024 + 3.68228i) q^{67} +(4.83851 + 8.38055i) q^{68} +(-1.83894 - 15.1473i) q^{69} +(-1.61144 - 0.214549i) q^{70} +(-0.125408 + 0.0911140i) q^{71} +(3.69042 - 6.89535i) q^{72} +(-3.09917 - 9.53828i) q^{73} +(-0.986332 + 1.70838i) q^{74} +(4.03292 + 7.66391i) q^{75} +(-3.30843 - 5.73038i) q^{76} +(1.84618 - 2.05039i) q^{77} +(1.69564 - 1.94525i) q^{78} +(-0.442202 - 4.20727i) q^{79} +(0.445747 - 1.84477i) q^{80} +(-8.66473 + 2.43362i) q^{81} -4.13353 q^{82} +(-3.01510 + 1.34241i) q^{83} +(0.207301 - 2.33290i) q^{84} +(-0.421657 + 15.2495i) q^{85} +(-4.53005 + 5.03113i) q^{86} +(-1.32330 - 0.929272i) q^{87} +(-5.04853 - 5.60696i) q^{88} +(5.32122 + 16.3770i) q^{89} +(4.41873 - 2.57798i) q^{90} +(0.575527 - 1.77129i) q^{91} +(-11.4153 + 5.08241i) q^{92} +(-3.13449 - 3.37051i) q^{93} +(0.319881 - 3.04346i) q^{94} +(0.288317 - 10.4272i) q^{95} +(-9.96263 - 1.95061i) q^{96} +(0.203049 + 1.93189i) q^{97} +(-1.43545 - 4.41787i) q^{98} +(-0.629227 + 8.65968i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.745950 0.158557i −0.527466 0.112116i −0.0635213 0.997980i \(-0.520233\pi\)
−0.463945 + 0.885864i \(0.653566\pi\)
\(3\) 1.13811 1.30565i 0.657085 0.753816i
\(4\) −1.29579 0.576923i −0.647895 0.288461i
\(5\) −1.26382 1.84465i −0.565200 0.824954i
\(6\) −1.05599 + 0.793494i −0.431105 + 0.323943i
\(7\) −0.476660 + 0.825599i −0.180161 + 0.312047i −0.941935 0.335795i \(-0.890995\pi\)
0.761775 + 0.647842i \(0.224328\pi\)
\(8\) 2.10906 + 1.53232i 0.745664 + 0.541757i
\(9\) −0.409434 2.97193i −0.136478 0.990643i
\(10\) 0.650268 + 1.57641i 0.205633 + 0.498504i
\(11\) −2.83092 0.601732i −0.853556 0.181429i −0.239700 0.970847i \(-0.577049\pi\)
−0.613856 + 0.789418i \(0.710382\pi\)
\(12\) −2.22800 + 1.03525i −0.643169 + 0.298850i
\(13\) −1.91095 + 0.406185i −0.530002 + 0.112655i −0.465137 0.885239i \(-0.653995\pi\)
−0.0648650 + 0.997894i \(0.520662\pi\)
\(14\) 0.486468 0.540278i 0.130014 0.144395i
\(15\) −3.84683 0.449300i −0.993248 0.116009i
\(16\) 0.567924 + 0.630744i 0.141981 + 0.157686i
\(17\) −5.51944 4.01011i −1.33866 0.972594i −0.999492 0.0318678i \(-0.989854\pi\)
−0.339168 0.940726i \(-0.610146\pi\)
\(18\) −0.165802 + 2.28183i −0.0390798 + 0.537832i
\(19\) 3.77403 + 2.74200i 0.865823 + 0.629057i 0.929463 0.368916i \(-0.120271\pi\)
−0.0636402 + 0.997973i \(0.520271\pi\)
\(20\) 0.573428 + 3.11941i 0.128222 + 0.697522i
\(21\) 0.535453 + 1.56197i 0.116845 + 0.340849i
\(22\) 2.01632 + 0.897723i 0.429881 + 0.191395i
\(23\) 5.89471 6.54674i 1.22913 1.36509i 0.320632 0.947204i \(-0.396105\pi\)
0.908500 0.417885i \(-0.137229\pi\)
\(24\) 4.40100 1.00975i 0.898350 0.206113i
\(25\) −1.80550 + 4.66264i −0.361099 + 0.932527i
\(26\) 1.48988 0.292189
\(27\) −4.34627 2.84779i −0.836441 0.548058i
\(28\) 1.09396 0.794807i 0.206739 0.150204i
\(29\) −0.0975850 0.928459i −0.0181211 0.172411i 0.981718 0.190340i \(-0.0609591\pi\)
−0.999839 + 0.0179298i \(0.994292\pi\)
\(30\) 2.79831 + 0.945095i 0.510898 + 0.172550i
\(31\) 0.277775 2.64285i 0.0498898 0.474670i −0.940843 0.338843i \(-0.889964\pi\)
0.990733 0.135826i \(-0.0433689\pi\)
\(32\) −2.93057 5.07590i −0.518057 0.897300i
\(33\) −4.00754 + 3.01136i −0.697623 + 0.524210i
\(34\) 3.48139 + 3.86648i 0.597054 + 0.663096i
\(35\) 2.12536 0.164140i 0.359251 0.0277447i
\(36\) −1.18403 + 4.08721i −0.197339 + 0.681201i
\(37\) 0.799338 2.46011i 0.131410 0.404439i −0.863604 0.504171i \(-0.831798\pi\)
0.995014 + 0.0997312i \(0.0317983\pi\)
\(38\) −2.38048 2.64379i −0.386164 0.428879i
\(39\) −1.64453 + 2.95731i −0.263335 + 0.473549i
\(40\) 0.161121 5.82706i 0.0254755 0.921339i
\(41\) 5.30176 1.12692i 0.827996 0.175996i 0.225627 0.974214i \(-0.427557\pi\)
0.602369 + 0.798218i \(0.294224\pi\)
\(42\) −0.151761 1.25005i −0.0234172 0.192887i
\(43\) 4.43871 7.68807i 0.676897 1.17242i −0.299014 0.954249i \(-0.596658\pi\)
0.975911 0.218171i \(-0.0700090\pi\)
\(44\) 3.32113 + 2.41294i 0.500679 + 0.363765i
\(45\) −4.96473 + 4.51126i −0.740098 + 0.672499i
\(46\) −5.43519 + 3.94889i −0.801374 + 0.582233i
\(47\) 0.419452 + 3.99082i 0.0611834 + 0.582121i 0.981569 + 0.191109i \(0.0612084\pi\)
−0.920385 + 0.391012i \(0.872125\pi\)
\(48\) 1.46989 0.0236566i 0.212160 0.00341453i
\(49\) 3.04559 + 5.27512i 0.435084 + 0.753588i
\(50\) 2.08610 3.19182i 0.295019 0.451392i
\(51\) −11.5175 + 2.64252i −1.61277 + 0.370027i
\(52\) 2.71053 + 0.576140i 0.375883 + 0.0798963i
\(53\) 4.30252 3.12596i 0.590996 0.429384i −0.251675 0.967812i \(-0.580982\pi\)
0.842672 + 0.538428i \(0.180982\pi\)
\(54\) 2.79057 + 2.81344i 0.379748 + 0.382861i
\(55\) 2.46781 + 5.98256i 0.332759 + 0.806688i
\(56\) −2.27038 + 1.01084i −0.303393 + 0.135079i
\(57\) 7.87533 1.80688i 1.04311 0.239327i
\(58\) −0.0744198 + 0.708057i −0.00977179 + 0.0929724i
\(59\) −4.69343 + 0.997620i −0.611033 + 0.129879i −0.503026 0.864271i \(-0.667780\pi\)
−0.108007 + 0.994150i \(0.534447\pi\)
\(60\) 4.72548 + 2.80152i 0.610057 + 0.361675i
\(61\) 10.9896 + 2.33592i 1.40708 + 0.299084i 0.847985 0.530020i \(-0.177815\pi\)
0.559095 + 0.829104i \(0.311149\pi\)
\(62\) −0.626247 + 1.92739i −0.0795334 + 0.244779i
\(63\) 2.64878 + 1.07857i 0.333715 + 0.135887i
\(64\) 0.856686 + 2.63661i 0.107086 + 0.329576i
\(65\) 3.16438 + 3.01170i 0.392493 + 0.373555i
\(66\) 3.46689 1.61090i 0.426745 0.198288i
\(67\) −0.387024 + 3.68228i −0.0472824 + 0.449862i 0.945110 + 0.326751i \(0.105954\pi\)
−0.992393 + 0.123111i \(0.960713\pi\)
\(68\) 4.83851 + 8.38055i 0.586756 + 1.01629i
\(69\) −1.83894 15.1473i −0.221382 1.82352i
\(70\) −1.61144 0.214549i −0.192604 0.0256436i
\(71\) −0.125408 + 0.0911140i −0.0148832 + 0.0108132i −0.595202 0.803576i \(-0.702928\pi\)
0.580319 + 0.814389i \(0.302928\pi\)
\(72\) 3.69042 6.89535i 0.434921 0.812625i
\(73\) −3.09917 9.53828i −0.362731 1.11637i −0.951390 0.307989i \(-0.900344\pi\)
0.588659 0.808381i \(-0.299656\pi\)
\(74\) −0.986332 + 1.70838i −0.114659 + 0.198595i
\(75\) 4.03292 + 7.66391i 0.465682 + 0.884952i
\(76\) −3.30843 5.73038i −0.379503 0.657319i
\(77\) 1.84618 2.05039i 0.210391 0.233663i
\(78\) 1.69564 1.94525i 0.191993 0.220257i
\(79\) −0.442202 4.20727i −0.0497516 0.473355i −0.990825 0.135152i \(-0.956848\pi\)
0.941073 0.338203i \(-0.109819\pi\)
\(80\) 0.445747 1.84477i 0.0498361 0.206252i
\(81\) −8.66473 + 2.43362i −0.962748 + 0.270402i
\(82\) −4.13353 −0.456472
\(83\) −3.01510 + 1.34241i −0.330950 + 0.147348i −0.565483 0.824760i \(-0.691310\pi\)
0.234534 + 0.972108i \(0.424644\pi\)
\(84\) 0.207301 2.33290i 0.0226184 0.254540i
\(85\) −0.421657 + 15.2495i −0.0457351 + 1.65404i
\(86\) −4.53005 + 5.03113i −0.488488 + 0.542520i
\(87\) −1.32330 0.929272i −0.141873 0.0996285i
\(88\) −5.04853 5.60696i −0.538176 0.597704i
\(89\) 5.32122 + 16.3770i 0.564048 + 1.73596i 0.670764 + 0.741671i \(0.265966\pi\)
−0.106716 + 0.994290i \(0.534034\pi\)
\(90\) 4.41873 2.57798i 0.465775 0.271743i
\(91\) 0.575527 1.77129i 0.0603317 0.185682i
\(92\) −11.4153 + 5.08241i −1.19012 + 0.529877i
\(93\) −3.13449 3.37051i −0.325032 0.349506i
\(94\) 0.319881 3.04346i 0.0329932 0.313909i
\(95\) 0.288317 10.4272i 0.0295807 1.06981i
\(96\) −9.96263 1.95061i −1.01681 0.199083i
\(97\) 0.203049 + 1.93189i 0.0206165 + 0.196153i 0.999982 0.00594233i \(-0.00189151\pi\)
−0.979366 + 0.202096i \(0.935225\pi\)
\(98\) −1.43545 4.41787i −0.145003 0.446272i
\(99\) −0.629227 + 8.65968i −0.0632397 + 0.870330i
\(100\) 5.02952 5.00017i 0.502952 0.500017i
\(101\) 3.61804 6.26663i 0.360009 0.623553i −0.627953 0.778251i \(-0.716107\pi\)
0.987962 + 0.154698i \(0.0494404\pi\)
\(102\) 9.01046 0.145016i 0.892168 0.0143587i
\(103\) −16.2100 7.21716i −1.59722 0.711128i −0.601103 0.799172i \(-0.705272\pi\)
−0.996117 + 0.0880440i \(0.971938\pi\)
\(104\) −4.65271 2.07152i −0.456235 0.203129i
\(105\) 2.20457 2.96178i 0.215144 0.289040i
\(106\) −3.70510 + 1.64962i −0.359872 + 0.160225i
\(107\) 1.19151 0.115188 0.0575940 0.998340i \(-0.481657\pi\)
0.0575940 + 0.998340i \(0.481657\pi\)
\(108\) 3.98890 + 6.19760i 0.383832 + 0.596365i
\(109\) 0.597453 1.83877i 0.0572256 0.176122i −0.918358 0.395751i \(-0.870484\pi\)
0.975584 + 0.219628i \(0.0704845\pi\)
\(110\) −0.892285 4.85398i −0.0850761 0.462808i
\(111\) −2.30231 3.84352i −0.218525 0.364810i
\(112\) −0.791448 + 0.168227i −0.0747848 + 0.0158960i
\(113\) −7.86072 + 1.67085i −0.739475 + 0.157180i −0.562223 0.826985i \(-0.690054\pi\)
−0.177251 + 0.984166i \(0.556721\pi\)
\(114\) −6.16109 + 0.0991575i −0.577039 + 0.00928695i
\(115\) −19.5263 2.59977i −1.82084 0.242430i
\(116\) −0.409200 + 1.25939i −0.0379932 + 0.116931i
\(117\) 1.98956 + 5.51290i 0.183935 + 0.509668i
\(118\) 3.65924 0.336861
\(119\) 5.94163 2.64539i 0.544669 0.242502i
\(120\) −7.42472 6.84217i −0.677781 0.624602i
\(121\) −2.39695 1.06719i −0.217904 0.0970172i
\(122\) −7.82735 3.48496i −0.708655 0.315513i
\(123\) 4.56260 8.20479i 0.411395 0.739801i
\(124\) −1.88466 + 3.26432i −0.169247 + 0.293145i
\(125\) 10.8828 2.56224i 0.973385 0.229174i
\(126\) −1.80484 1.22454i −0.160788 0.109091i
\(127\) −4.50280 13.8582i −0.399559 1.22972i −0.925354 0.379105i \(-0.876232\pi\)
0.525794 0.850612i \(-0.323768\pi\)
\(128\) 1.00432 + 9.55546i 0.0887701 + 0.844591i
\(129\) −4.98620 14.5452i −0.439010 1.28064i
\(130\) −1.88294 2.74831i −0.165145 0.241042i
\(131\) −1.41875 + 13.4985i −0.123956 + 1.17937i 0.738864 + 0.673855i \(0.235363\pi\)
−0.862820 + 0.505511i \(0.831304\pi\)
\(132\) 6.93025 1.59005i 0.603201 0.138396i
\(133\) −4.06272 + 1.80884i −0.352282 + 0.156846i
\(134\) 0.872550 2.68543i 0.0753768 0.231986i
\(135\) 0.239738 + 11.6165i 0.0206334 + 0.999787i
\(136\) −5.49604 16.9151i −0.471282 1.45046i
\(137\) −5.85192 6.49921i −0.499963 0.555265i 0.439355 0.898314i \(-0.355207\pi\)
−0.939318 + 0.343048i \(0.888541\pi\)
\(138\) −1.02995 + 11.5907i −0.0876749 + 0.986665i
\(139\) 12.6640 14.0648i 1.07415 1.19296i 0.0938192 0.995589i \(-0.470092\pi\)
0.980329 0.197373i \(-0.0632409\pi\)
\(140\) −2.84872 1.01348i −0.240760 0.0856545i
\(141\) 5.68799 + 3.99432i 0.479015 + 0.336382i
\(142\) 0.107995 0.0480823i 0.00906271 0.00403498i
\(143\) 5.65417 0.472825
\(144\) 1.64200 1.94608i 0.136833 0.162173i
\(145\) −1.58936 + 1.35342i −0.131989 + 0.112395i
\(146\) 0.799472 + 7.60647i 0.0661648 + 0.629516i
\(147\) 10.3536 + 2.02717i 0.853955 + 0.167198i
\(148\) −2.45507 + 2.72663i −0.201805 + 0.224127i
\(149\) 3.03989 + 5.26524i 0.249037 + 0.431345i 0.963259 0.268574i \(-0.0865525\pi\)
−0.714222 + 0.699919i \(0.753219\pi\)
\(150\) −1.79319 6.35634i −0.146414 0.518993i
\(151\) 4.71367 8.16432i 0.383593 0.664403i −0.607980 0.793952i \(-0.708020\pi\)
0.991573 + 0.129550i \(0.0413532\pi\)
\(152\) 3.75804 + 11.5660i 0.304817 + 0.938130i
\(153\) −9.65791 + 18.0453i −0.780795 + 1.45887i
\(154\) −1.70226 + 1.23676i −0.137172 + 0.0996612i
\(155\) −5.22620 + 2.82770i −0.419778 + 0.227126i
\(156\) 3.83710 2.88329i 0.307214 0.230848i
\(157\) 10.2999 + 17.8399i 0.822020 + 1.42378i 0.904175 + 0.427162i \(0.140486\pi\)
−0.0821548 + 0.996620i \(0.526180\pi\)
\(158\) −0.337230 + 3.20853i −0.0268285 + 0.255257i
\(159\) 0.815311 9.17525i 0.0646583 0.727645i
\(160\) −5.65955 + 11.8209i −0.447426 + 0.934527i
\(161\) 2.59521 + 7.98723i 0.204531 + 0.629482i
\(162\) 6.84932 0.441508i 0.538133 0.0346881i
\(163\) −3.22118 + 9.91378i −0.252302 + 0.776507i 0.742047 + 0.670348i \(0.233855\pi\)
−0.994349 + 0.106159i \(0.966145\pi\)
\(164\) −7.52012 1.59845i −0.587223 0.124818i
\(165\) 10.6197 + 3.58669i 0.826746 + 0.279224i
\(166\) 2.46196 0.523305i 0.191085 0.0406164i
\(167\) 1.61643 15.3793i 0.125083 1.19009i −0.734325 0.678799i \(-0.762501\pi\)
0.859408 0.511291i \(-0.170832\pi\)
\(168\) −1.26413 + 4.11476i −0.0975300 + 0.317461i
\(169\) −8.38935 + 3.73518i −0.645334 + 0.287321i
\(170\) 2.73245 11.3085i 0.209569 0.867324i
\(171\) 6.60380 12.3388i 0.505005 0.943574i
\(172\) −10.1871 + 7.40133i −0.776756 + 0.564346i
\(173\) 14.5479 + 3.09226i 1.10606 + 0.235100i 0.724521 0.689253i \(-0.242061\pi\)
0.381539 + 0.924353i \(0.375394\pi\)
\(174\) 0.839775 + 0.903009i 0.0636632 + 0.0684569i
\(175\) −2.98886 3.71311i −0.225937 0.280685i
\(176\) −1.22821 2.12733i −0.0925800 0.160353i
\(177\) −4.03908 + 7.26337i −0.303596 + 0.545948i
\(178\) −1.37268 13.0601i −0.102886 0.978899i
\(179\) −21.5801 + 15.6788i −1.61297 + 1.17189i −0.760016 + 0.649904i \(0.774809\pi\)
−0.852954 + 0.521987i \(0.825191\pi\)
\(180\) 9.03589 2.98138i 0.673496 0.222219i
\(181\) 16.0289 + 11.6457i 1.19142 + 0.865617i 0.993414 0.114583i \(-0.0365533\pi\)
0.198007 + 0.980201i \(0.436553\pi\)
\(182\) −0.710164 + 1.23004i −0.0526409 + 0.0911767i
\(183\) 15.5573 11.6901i 1.15003 0.864156i
\(184\) 22.4640 4.77486i 1.65607 0.352008i
\(185\) −5.54827 + 1.63464i −0.407917 + 0.120181i
\(186\) 1.80376 + 3.01123i 0.132258 + 0.220794i
\(187\) 13.2121 + 14.6735i 0.966165 + 1.07303i
\(188\) 1.75888 5.41326i 0.128279 0.394803i
\(189\) 4.42283 2.23085i 0.321713 0.162271i
\(190\) −1.86837 + 7.73244i −0.135546 + 0.560970i
\(191\) −8.03506 8.92383i −0.581396 0.645706i 0.378652 0.925539i \(-0.376388\pi\)
−0.960049 + 0.279833i \(0.909721\pi\)
\(192\) 4.41748 + 1.88221i 0.318804 + 0.135837i
\(193\) 12.6897 + 21.9792i 0.913424 + 1.58210i 0.809192 + 0.587544i \(0.199905\pi\)
0.104232 + 0.994553i \(0.466762\pi\)
\(194\) 0.154848 1.47328i 0.0111175 0.105776i
\(195\) 7.53361 0.703937i 0.539493 0.0504100i
\(196\) −0.903110 8.59252i −0.0645078 0.613751i
\(197\) −1.37622 + 0.999883i −0.0980516 + 0.0712387i −0.635731 0.771911i \(-0.719301\pi\)
0.537679 + 0.843150i \(0.319301\pi\)
\(198\) 1.84242 6.35992i 0.130935 0.451980i
\(199\) −6.51877 −0.462104 −0.231052 0.972941i \(-0.574217\pi\)
−0.231052 + 0.972941i \(0.574217\pi\)
\(200\) −10.9525 + 7.06717i −0.774461 + 0.499724i
\(201\) 4.36729 + 4.69614i 0.308045 + 0.331240i
\(202\) −3.69249 + 4.10093i −0.259803 + 0.288540i
\(203\) 0.813050 + 0.361993i 0.0570649 + 0.0254069i
\(204\) 16.4488 + 3.22055i 1.15164 + 0.225484i
\(205\) −8.77928 8.35568i −0.613172 0.583586i
\(206\) 10.9475 + 7.95384i 0.762750 + 0.554170i
\(207\) −21.8699 14.8382i −1.52007 1.03133i
\(208\) −1.34147 0.974638i −0.0930145 0.0675790i
\(209\) −9.03406 10.0333i −0.624899 0.694020i
\(210\) −2.11411 + 1.85979i −0.145887 + 0.128338i
\(211\) 5.33924 5.92982i 0.367568 0.408226i −0.530780 0.847510i \(-0.678101\pi\)
0.898348 + 0.439284i \(0.144768\pi\)
\(212\) −7.37860 + 1.56837i −0.506764 + 0.107716i
\(213\) −0.0237643 + 0.267436i −0.00162830 + 0.0183244i
\(214\) −0.888810 0.188922i −0.0607578 0.0129145i
\(215\) −19.7916 + 1.52849i −1.34977 + 0.104242i
\(216\) −4.80281 12.6660i −0.326790 0.861814i
\(217\) 2.04953 + 1.48907i 0.139131 + 0.101085i
\(218\) −0.737219 + 1.27690i −0.0499307 + 0.0864826i
\(219\) −15.9808 6.80913i −1.07988 0.460118i
\(220\) 0.253717 9.17587i 0.0171056 0.618637i
\(221\) 12.1762 + 5.42120i 0.819061 + 0.364669i
\(222\) 1.10799 + 3.23212i 0.0743634 + 0.216925i
\(223\) 9.23109 + 1.96213i 0.618160 + 0.131394i 0.506339 0.862335i \(-0.330998\pi\)
0.111821 + 0.993728i \(0.464332\pi\)
\(224\) 5.58754 0.373333
\(225\) 14.5963 + 3.45676i 0.973084 + 0.230451i
\(226\) 6.12863 0.407670
\(227\) 23.0879 + 4.90748i 1.53240 + 0.325721i 0.895441 0.445180i \(-0.146860\pi\)
0.636955 + 0.770901i \(0.280194\pi\)
\(228\) −11.2472 2.20212i −0.744864 0.145839i
\(229\) −14.3491 6.38865i −0.948218 0.422174i −0.126435 0.991975i \(-0.540354\pi\)
−0.821783 + 0.569801i \(0.807020\pi\)
\(230\) 14.1535 + 5.03533i 0.933252 + 0.332020i
\(231\) −0.575941 4.74401i −0.0378941 0.312133i
\(232\) 1.21688 2.10770i 0.0798923 0.138378i
\(233\) −1.52687 1.10933i −0.100028 0.0726749i 0.536647 0.843807i \(-0.319691\pi\)
−0.636675 + 0.771132i \(0.719691\pi\)
\(234\) −0.610006 4.42781i −0.0398773 0.289455i
\(235\) 6.83157 5.81744i 0.445643 0.379488i
\(236\) 6.65725 + 1.41504i 0.433350 + 0.0921115i
\(237\) −5.99649 4.21095i −0.389514 0.273531i
\(238\) −4.85160 + 1.03124i −0.314483 + 0.0668454i
\(239\) −0.959065 + 1.06515i −0.0620368 + 0.0688988i −0.773364 0.633962i \(-0.781428\pi\)
0.711328 + 0.702861i \(0.248094\pi\)
\(240\) −1.90132 2.68153i −0.122729 0.173092i
\(241\) 7.32923 + 8.13993i 0.472117 + 0.524339i 0.931423 0.363939i \(-0.118568\pi\)
−0.459306 + 0.888278i \(0.651902\pi\)
\(242\) 1.61879 + 1.17612i 0.104060 + 0.0756039i
\(243\) −6.68392 + 14.0828i −0.428774 + 0.903412i
\(244\) −12.8926 9.36704i −0.825366 0.599663i
\(245\) 5.88167 12.2849i 0.375766 0.784852i
\(246\) −4.70439 + 5.39694i −0.299941 + 0.344096i
\(247\) −8.32575 3.70686i −0.529755 0.235862i
\(248\) 4.63553 5.14828i 0.294356 0.326916i
\(249\) −1.67879 + 5.46446i −0.106389 + 0.346296i
\(250\) −8.52427 + 0.185768i −0.539122 + 0.0117490i
\(251\) 9.34568 0.589894 0.294947 0.955514i \(-0.404698\pi\)
0.294947 + 0.955514i \(0.404698\pi\)
\(252\) −2.81001 2.92575i −0.177014 0.184305i
\(253\) −20.6269 + 14.9863i −1.29680 + 0.942180i
\(254\) 1.16156 + 11.0515i 0.0728825 + 0.693431i
\(255\) 19.4306 + 17.9061i 1.21679 + 1.12132i
\(256\) 1.34548 12.8013i 0.0840922 0.800084i
\(257\) −3.12162 5.40681i −0.194722 0.337268i 0.752088 0.659063i \(-0.229047\pi\)
−0.946809 + 0.321795i \(0.895714\pi\)
\(258\) 1.41321 + 11.6406i 0.0879828 + 0.724712i
\(259\) 1.65005 + 1.83257i 0.102529 + 0.113870i
\(260\) −2.36285 5.72813i −0.146538 0.355243i
\(261\) −2.71936 + 0.670159i −0.168324 + 0.0414818i
\(262\) 3.19858 9.84422i 0.197609 0.608178i
\(263\) 1.24587 + 1.38368i 0.0768239 + 0.0853216i 0.780331 0.625366i \(-0.215050\pi\)
−0.703507 + 0.710688i \(0.748384\pi\)
\(264\) −13.0665 + 0.210294i −0.804187 + 0.0129427i
\(265\) −11.2039 3.98599i −0.688253 0.244857i
\(266\) 3.31739 0.705133i 0.203402 0.0432345i
\(267\) 27.4387 + 11.6911i 1.67922 + 0.715486i
\(268\) 2.62589 4.54818i 0.160402 0.277824i
\(269\) 3.89397 + 2.82914i 0.237420 + 0.172496i 0.700133 0.714012i \(-0.253124\pi\)
−0.462713 + 0.886508i \(0.653124\pi\)
\(270\) 1.66304 8.70332i 0.101209 0.529667i
\(271\) 18.4402 13.3976i 1.12016 0.813846i 0.135929 0.990719i \(-0.456598\pi\)
0.984234 + 0.176873i \(0.0565982\pi\)
\(272\) −0.605273 5.75879i −0.0367001 0.349178i
\(273\) −1.65767 2.76735i −0.100327 0.167488i
\(274\) 3.33474 + 5.77595i 0.201459 + 0.348938i
\(275\) 7.91688 12.1132i 0.477406 0.730451i
\(276\) −6.35594 + 20.6886i −0.382583 + 1.24531i
\(277\) −7.64077 1.62410i −0.459089 0.0975825i −0.0274391 0.999623i \(-0.508735\pi\)
−0.431650 + 0.902041i \(0.642069\pi\)
\(278\) −11.6768 + 8.48368i −0.700327 + 0.508817i
\(279\) −7.96809 + 0.256546i −0.477037 + 0.0153590i
\(280\) 4.73402 + 2.91055i 0.282912 + 0.173938i
\(281\) −1.44142 + 0.641761i −0.0859878 + 0.0382842i −0.449280 0.893391i \(-0.648319\pi\)
0.363292 + 0.931675i \(0.381653\pi\)
\(282\) −3.60963 3.88143i −0.214950 0.231136i
\(283\) 0.811572 7.72159i 0.0482429 0.459001i −0.943558 0.331208i \(-0.892544\pi\)
0.991801 0.127793i \(-0.0407894\pi\)
\(284\) 0.215068 0.0457141i 0.0127619 0.00271263i
\(285\) −13.2861 12.2437i −0.787001 0.725253i
\(286\) −4.21773 0.896506i −0.249399 0.0530115i
\(287\) −1.59675 + 4.91429i −0.0942532 + 0.290081i
\(288\) −13.8853 + 10.7877i −0.818201 + 0.635671i
\(289\) 9.12995 + 28.0991i 0.537056 + 1.65289i
\(290\) 1.40017 0.757581i 0.0822210 0.0444867i
\(291\) 2.75345 + 1.93358i 0.161410 + 0.113348i
\(292\) −1.48697 + 14.1476i −0.0870184 + 0.827925i
\(293\) 5.25540 + 9.10262i 0.307024 + 0.531781i 0.977710 0.209961i \(-0.0673336\pi\)
−0.670686 + 0.741741i \(0.734000\pi\)
\(294\) −7.40188 3.15380i −0.431687 0.183934i
\(295\) 7.77194 + 7.39694i 0.452500 + 0.430667i
\(296\) 5.45552 3.96367i 0.317096 0.230383i
\(297\) 10.5904 + 10.6772i 0.614515 + 0.619552i
\(298\) −1.43276 4.40960i −0.0829978 0.255441i
\(299\) −8.60531 + 14.9048i −0.497658 + 0.861969i
\(300\) −0.804332 12.2575i −0.0464381 0.707687i
\(301\) 4.23151 + 7.32919i 0.243900 + 0.422447i
\(302\) −4.81067 + 5.34279i −0.276823 + 0.307443i
\(303\) −4.06431 11.8560i −0.233488 0.681108i
\(304\) 0.413868 + 3.93769i 0.0237370 + 0.225842i
\(305\) −9.58002 23.2243i −0.548550 1.32982i
\(306\) 10.0655 11.9295i 0.575407 0.681966i
\(307\) 3.00205 0.171336 0.0856680 0.996324i \(-0.472698\pi\)
0.0856680 + 0.996324i \(0.472698\pi\)
\(308\) −3.57517 + 1.59177i −0.203714 + 0.0906995i
\(309\) −27.8718 + 12.9507i −1.58557 + 0.736738i
\(310\) 4.34683 1.28067i 0.246883 0.0727373i
\(311\) −9.37603 + 10.4131i −0.531666 + 0.590475i −0.947815 0.318822i \(-0.896713\pi\)
0.416149 + 0.909297i \(0.363380\pi\)
\(312\) −7.99994 + 3.71719i −0.452908 + 0.210445i
\(313\) −3.71665 4.12776i −0.210077 0.233315i 0.628893 0.777492i \(-0.283508\pi\)
−0.838970 + 0.544178i \(0.816842\pi\)
\(314\) −4.85456 14.9408i −0.273959 0.843158i
\(315\) −1.35801 6.24921i −0.0765150 0.352103i
\(316\) −1.85427 + 5.70685i −0.104311 + 0.321036i
\(317\) 4.15158 1.84840i 0.233176 0.103817i −0.286823 0.957984i \(-0.592599\pi\)
0.519999 + 0.854167i \(0.325932\pi\)
\(318\) −2.06298 + 6.71500i −0.115686 + 0.376559i
\(319\) −0.282427 + 2.68712i −0.0158129 + 0.150450i
\(320\) 3.78093 4.91250i 0.211360 0.274617i
\(321\) 1.35607 1.55570i 0.0756884 0.0868307i
\(322\) −0.669468 6.36956i −0.0373080 0.354962i
\(323\) −9.83485 30.2685i −0.547226 1.68419i
\(324\) 12.6317 + 1.84542i 0.701760 + 0.102523i
\(325\) 1.55632 9.64343i 0.0863290 0.534921i
\(326\) 3.97473 6.88444i 0.220140 0.381294i
\(327\) −1.72082 2.87278i −0.0951617 0.158865i
\(328\) 12.9085 + 5.74724i 0.712754 + 0.317338i
\(329\) −3.49476 1.55597i −0.192672 0.0857832i
\(330\) −7.35310 4.35932i −0.404775 0.239973i
\(331\) 5.29985 2.35964i 0.291306 0.129698i −0.255881 0.966708i \(-0.582365\pi\)
0.547187 + 0.837011i \(0.315699\pi\)
\(332\) 4.68140 0.256925
\(333\) −7.63855 1.36832i −0.418590 0.0749837i
\(334\) −3.64427 + 11.2159i −0.199406 + 0.613708i
\(335\) 7.28167 3.93983i 0.397840 0.215256i
\(336\) −0.681105 + 1.22481i −0.0371573 + 0.0668190i
\(337\) −4.80717 + 1.02179i −0.261863 + 0.0556607i −0.336972 0.941515i \(-0.609403\pi\)
0.0751092 + 0.997175i \(0.476069\pi\)
\(338\) 6.85027 1.45607i 0.372605 0.0791997i
\(339\) −6.76479 + 12.1649i −0.367413 + 0.660709i
\(340\) 9.34418 19.5169i 0.506759 1.05845i
\(341\) −2.37664 + 7.31456i −0.128702 + 0.396106i
\(342\) −6.88250 + 8.15707i −0.372163 + 0.441084i
\(343\) −12.4801 −0.673861
\(344\) 21.1421 9.41305i 1.13990 0.507518i
\(345\) −25.6174 + 22.5357i −1.37920 + 1.21328i
\(346\) −10.3617 4.61334i −0.557050 0.248015i
\(347\) 9.10712 + 4.05475i 0.488896 + 0.217670i 0.636353 0.771398i \(-0.280442\pi\)
−0.147457 + 0.989068i \(0.547109\pi\)
\(348\) 1.17860 + 1.96759i 0.0631798 + 0.105474i
\(349\) 7.15701 12.3963i 0.383106 0.663559i −0.608398 0.793632i \(-0.708188\pi\)
0.991504 + 0.130073i \(0.0415210\pi\)
\(350\) 1.64080 + 3.24370i 0.0877046 + 0.173383i
\(351\) 9.46224 + 3.67660i 0.505057 + 0.196242i
\(352\) 5.24190 + 16.1329i 0.279394 + 0.859887i
\(353\) −2.64975 25.2107i −0.141032 1.34183i −0.804646 0.593755i \(-0.797645\pi\)
0.663614 0.748075i \(-0.269022\pi\)
\(354\) 4.16460 4.77769i 0.221346 0.253931i
\(355\) 0.326567 + 0.116182i 0.0173324 + 0.00616628i
\(356\) 2.55310 24.2911i 0.135314 1.28743i
\(357\) 3.30826 10.7684i 0.175092 0.569925i
\(358\) 18.5836 8.27396i 0.982175 0.437293i
\(359\) 6.35182 19.5489i 0.335236 1.03175i −0.631369 0.775482i \(-0.717507\pi\)
0.966606 0.256269i \(-0.0824933\pi\)
\(360\) −17.3836 + 1.90696i −0.916195 + 0.100505i
\(361\) 0.853463 + 2.62669i 0.0449191 + 0.138247i
\(362\) −10.1103 11.2286i −0.531384 0.590162i
\(363\) −4.12135 + 1.91500i −0.216315 + 0.100511i
\(364\) −1.76766 + 1.96319i −0.0926506 + 0.102899i
\(365\) −13.6780 + 17.7716i −0.715940 + 0.930209i
\(366\) −13.4585 + 6.25351i −0.703486 + 0.326876i
\(367\) 26.2996 11.7093i 1.37283 0.611221i 0.418016 0.908440i \(-0.362725\pi\)
0.954810 + 0.297218i \(0.0960588\pi\)
\(368\) 7.47706 0.389769
\(369\) −5.51986 15.2951i −0.287353 0.796229i
\(370\) 4.39792 0.339648i 0.228637 0.0176575i
\(371\) 0.529954 + 5.04218i 0.0275138 + 0.261777i
\(372\) 2.11712 + 6.17584i 0.109767 + 0.320202i
\(373\) 7.64527 8.49093i 0.395857 0.439644i −0.511961 0.859009i \(-0.671081\pi\)
0.907818 + 0.419365i \(0.137747\pi\)
\(374\) −7.52898 13.0406i −0.389314 0.674312i
\(375\) 9.04036 17.1252i 0.466842 0.884341i
\(376\) −5.23057 + 9.05960i −0.269746 + 0.467213i
\(377\) 0.563606 + 1.73460i 0.0290272 + 0.0893365i
\(378\) −3.65292 + 0.962835i −0.187886 + 0.0495229i
\(379\) 2.90335 2.10941i 0.149135 0.108353i −0.510716 0.859750i \(-0.670620\pi\)
0.659851 + 0.751397i \(0.270620\pi\)
\(380\) −6.38928 + 13.3451i −0.327763 + 0.684590i
\(381\) −23.2186 9.89301i −1.18953 0.506834i
\(382\) 4.57882 + 7.93074i 0.234273 + 0.405772i
\(383\) −0.535221 + 5.09229i −0.0273485 + 0.260204i 0.972301 + 0.233732i \(0.0750939\pi\)
−0.999650 + 0.0264718i \(0.991573\pi\)
\(384\) 13.6191 + 9.56383i 0.694996 + 0.488052i
\(385\) −6.11550 0.814228i −0.311675 0.0414969i
\(386\) −5.98093 18.4074i −0.304421 0.936912i
\(387\) −24.6658 10.0438i −1.25383 0.510554i
\(388\) 0.851440 2.62046i 0.0432253 0.133034i
\(389\) −30.2263 6.42479i −1.53253 0.325750i −0.637041 0.770830i \(-0.719842\pi\)
−0.895491 + 0.445080i \(0.853175\pi\)
\(390\) −5.73131 0.669401i −0.290216 0.0338964i
\(391\) −58.7886 + 12.4959i −2.97307 + 0.631945i
\(392\) −1.65984 + 15.7923i −0.0838346 + 0.797633i
\(393\) 16.0096 + 17.2150i 0.807575 + 0.868384i
\(394\) 1.18513 0.527653i 0.0597059 0.0265828i
\(395\) −7.20209 + 6.13296i −0.362376 + 0.308583i
\(396\) 5.81131 10.8581i 0.292029 0.545640i
\(397\) −5.15821 + 3.74766i −0.258883 + 0.188090i −0.709654 0.704550i \(-0.751149\pi\)
0.450771 + 0.892639i \(0.351149\pi\)
\(398\) 4.86268 + 1.03359i 0.243744 + 0.0518094i
\(399\) −2.26209 + 7.36313i −0.113246 + 0.368618i
\(400\) −3.96631 + 1.50922i −0.198316 + 0.0754610i
\(401\) 8.96136 + 15.5215i 0.447509 + 0.775108i 0.998223 0.0595856i \(-0.0189779\pi\)
−0.550714 + 0.834694i \(0.685645\pi\)
\(402\) −2.51318 4.19555i −0.125346 0.209255i
\(403\) 0.542672 + 5.16318i 0.0270324 + 0.257196i
\(404\) −8.30359 + 6.03291i −0.413119 + 0.300149i
\(405\) 15.4399 + 12.9078i 0.767214 + 0.641392i
\(406\) −0.549098 0.398943i −0.0272513 0.0197992i
\(407\) −3.74319 + 6.48340i −0.185543 + 0.321370i
\(408\) −28.3402 12.0752i −1.40305 0.597813i
\(409\) 37.5919 7.99041i 1.85880 0.395101i 0.864585 0.502487i \(-0.167582\pi\)
0.994217 + 0.107387i \(0.0342483\pi\)
\(410\) 5.22406 + 7.62493i 0.257998 + 0.376569i
\(411\) −15.1458 + 0.243758i −0.747086 + 0.0120237i
\(412\) 16.8410 + 18.7038i 0.829697 + 0.921472i
\(413\) 1.41354 4.35042i 0.0695556 0.214070i
\(414\) 13.9612 + 14.5362i 0.686155 + 0.714414i
\(415\) 6.28683 + 3.86524i 0.308608 + 0.189737i
\(416\) 7.66193 + 8.50943i 0.375657 + 0.417209i
\(417\) −3.95072 32.5420i −0.193468 1.59359i
\(418\) 5.14810 + 8.91677i 0.251802 + 0.436134i
\(419\) −0.552525 + 5.25693i −0.0269926 + 0.256818i 0.972701 + 0.232062i \(0.0745473\pi\)
−0.999694 + 0.0247553i \(0.992119\pi\)
\(420\) −4.56538 + 2.56598i −0.222768 + 0.125207i
\(421\) 2.83193 + 26.9440i 0.138020 + 1.31317i 0.815984 + 0.578075i \(0.196196\pi\)
−0.677964 + 0.735095i \(0.737137\pi\)
\(422\) −4.92301 + 3.57678i −0.239649 + 0.174115i
\(423\) 11.6887 2.88056i 0.568324 0.140058i
\(424\) 13.8642 0.673306
\(425\) 28.6630 18.4949i 1.39036 0.897135i
\(426\) 0.0601306 0.195726i 0.00291334 0.00948294i
\(427\) −7.16686 + 7.95960i −0.346829 + 0.385192i
\(428\) −1.54395 0.687412i −0.0746298 0.0332273i
\(429\) 6.43504 7.38236i 0.310687 0.356424i
\(430\) 15.0059 + 1.99791i 0.723647 + 0.0963476i
\(431\) −28.0178 20.3561i −1.34957 0.980518i −0.999033 0.0439685i \(-0.986000\pi\)
−0.350535 0.936550i \(-0.614000\pi\)
\(432\) −0.672127 4.35871i −0.0323377 0.209709i
\(433\) −7.43160 5.39937i −0.357140 0.259477i 0.394718 0.918802i \(-0.370842\pi\)
−0.751858 + 0.659325i \(0.770842\pi\)
\(434\) −1.29274 1.43574i −0.0620537 0.0689176i
\(435\) −0.0417631 + 3.61547i −0.00200239 + 0.173349i
\(436\) −1.83500 + 2.03798i −0.0878806 + 0.0976013i
\(437\) 40.1980 8.54434i 1.92293 0.408731i
\(438\) 10.8413 + 7.61313i 0.518015 + 0.363769i
\(439\) −7.02176 1.49252i −0.335130 0.0712342i 0.0372730 0.999305i \(-0.488133\pi\)
−0.372403 + 0.928071i \(0.621466\pi\)
\(440\) −3.96245 + 16.3990i −0.188902 + 0.781792i
\(441\) 14.4303 11.2111i 0.687158 0.533862i
\(442\) −8.22328 5.97456i −0.391141 0.284181i
\(443\) 12.6804 21.9630i 0.602462 1.04349i −0.389985 0.920821i \(-0.627520\pi\)
0.992447 0.122673i \(-0.0391468\pi\)
\(444\) 0.765893 + 6.30864i 0.0363477 + 0.299395i
\(445\) 23.4848 30.5135i 1.11329 1.44648i
\(446\) −6.57482 2.92730i −0.311327 0.138612i
\(447\) 10.3343 + 2.02337i 0.488793 + 0.0957022i
\(448\) −2.58513 0.549486i −0.122136 0.0259608i
\(449\) −7.13943 −0.336930 −0.168465 0.985708i \(-0.553881\pi\)
−0.168465 + 0.985708i \(0.553881\pi\)
\(450\) −10.3400 4.89290i −0.487432 0.230654i
\(451\) −15.6870 −0.738672
\(452\) 11.1498 + 2.36996i 0.524442 + 0.111474i
\(453\) −5.29507 15.4462i −0.248784 0.725728i
\(454\) −16.4443 7.32147i −0.771768 0.343613i
\(455\) −3.99478 + 1.17695i −0.187278 + 0.0551764i
\(456\) 19.3782 + 8.25670i 0.907468 + 0.386655i
\(457\) −17.8907 + 30.9875i −0.836890 + 1.44954i 0.0555925 + 0.998454i \(0.482295\pi\)
−0.892482 + 0.451082i \(0.851038\pi\)
\(458\) 9.69078 + 7.04076i 0.452820 + 0.328993i
\(459\) 12.5690 + 33.1472i 0.586672 + 1.54718i
\(460\) 23.8022 + 14.6340i 1.10978 + 0.682311i
\(461\) 14.9012 + 3.16735i 0.694018 + 0.147518i 0.541397 0.840767i \(-0.317895\pi\)
0.152621 + 0.988285i \(0.451229\pi\)
\(462\) −0.322571 + 3.63012i −0.0150074 + 0.168888i
\(463\) 24.3097 5.16720i 1.12977 0.240140i 0.395148 0.918617i \(-0.370693\pi\)
0.734621 + 0.678477i \(0.237360\pi\)
\(464\) 0.530199 0.588846i 0.0246139 0.0273365i
\(465\) −2.25598 + 10.0418i −0.104619 + 0.465677i
\(466\) 0.963075 + 1.06960i 0.0446136 + 0.0495484i
\(467\) −21.1648 15.3771i −0.979389 0.711568i −0.0218169 0.999762i \(-0.506945\pi\)
−0.957572 + 0.288194i \(0.906945\pi\)
\(468\) 0.602466 8.29139i 0.0278490 0.383270i
\(469\) −2.85561 2.07472i −0.131860 0.0958018i
\(470\) −6.01840 + 3.25633i −0.277608 + 0.150203i
\(471\) 35.0150 + 6.85568i 1.61341 + 0.315893i
\(472\) −11.4274 5.08780i −0.525988 0.234185i
\(473\) −17.1918 + 19.0934i −0.790480 + 0.877917i
\(474\) 3.80540 + 4.09194i 0.174788 + 0.187949i
\(475\) −19.5989 + 12.6463i −0.899261 + 0.580251i
\(476\) −9.22529 −0.422841
\(477\) −11.0517 11.5069i −0.506024 0.526865i
\(478\) 0.884301 0.642482i 0.0404470 0.0293865i
\(479\) 1.00563 + 9.56794i 0.0459484 + 0.437170i 0.993177 + 0.116613i \(0.0372036\pi\)
−0.947229 + 0.320558i \(0.896130\pi\)
\(480\) 8.99282 + 20.8428i 0.410464 + 0.951341i
\(481\) −0.528235 + 5.02583i −0.0240855 + 0.229158i
\(482\) −4.17660 7.23408i −0.190239 0.329503i
\(483\) 13.3821 + 5.70188i 0.608908 + 0.259445i
\(484\) 2.49025 + 2.76571i 0.113193 + 0.125714i
\(485\) 3.30704 2.81612i 0.150165 0.127873i
\(486\) 7.21879 9.44528i 0.327451 0.428447i
\(487\) 12.1864 37.5059i 0.552219 1.69956i −0.150958 0.988540i \(-0.548236\pi\)
0.703177 0.711015i \(-0.251764\pi\)
\(488\) 19.5984 + 21.7662i 0.887178 + 0.985311i
\(489\) 9.27786 + 15.4887i 0.419560 + 0.700421i
\(490\) −6.33528 + 8.23133i −0.286199 + 0.371854i
\(491\) −9.52590 + 2.02479i −0.429898 + 0.0913776i −0.417778 0.908549i \(-0.637191\pi\)
−0.0121194 + 0.999927i \(0.503858\pi\)
\(492\) −10.6457 + 7.99943i −0.479945 + 0.360642i
\(493\) −3.18461 + 5.51590i −0.143427 + 0.248424i
\(494\) 5.62284 + 4.08523i 0.252984 + 0.183803i
\(495\) 16.7693 9.78361i 0.753726 0.439740i
\(496\) 1.82471 1.32573i 0.0819321 0.0595272i
\(497\) −0.0154468 0.146967i −0.000692886 0.00659237i
\(498\) 2.11871 3.81003i 0.0949419 0.170731i
\(499\) −4.37718 7.58149i −0.195949 0.339394i 0.751262 0.660004i \(-0.229445\pi\)
−0.947211 + 0.320610i \(0.896112\pi\)
\(500\) −15.5800 2.95840i −0.696759 0.132304i
\(501\) −18.2403 19.6138i −0.814918 0.876280i
\(502\) −6.97140 1.48182i −0.311149 0.0661368i
\(503\) −16.1674 + 11.7463i −0.720867 + 0.523741i −0.886661 0.462420i \(-0.846981\pi\)
0.165794 + 0.986160i \(0.446981\pi\)
\(504\) 3.93372 + 6.33355i 0.175222 + 0.282119i
\(505\) −16.1323 + 1.24589i −0.717880 + 0.0554414i
\(506\) 17.7628 7.90850i 0.789652 0.351576i
\(507\) −4.67113 + 15.2046i −0.207452 + 0.675258i
\(508\) −2.16043 + 20.5551i −0.0958535 + 0.911985i
\(509\) 32.6145 6.93243i 1.44561 0.307274i 0.582725 0.812670i \(-0.301987\pi\)
0.862888 + 0.505395i \(0.168653\pi\)
\(510\) −11.6551 16.4379i −0.516098 0.727882i
\(511\) 9.35204 + 1.98784i 0.413710 + 0.0879368i
\(512\) 2.90473 8.93985i 0.128372 0.395089i
\(513\) −8.59435 22.6651i −0.379450 1.00069i
\(514\) 1.47129 + 4.52816i 0.0648958 + 0.199729i
\(515\) 7.17344 + 39.0231i 0.316100 + 1.71956i
\(516\) −1.93041 + 21.7242i −0.0849815 + 0.956355i
\(517\) 1.21397 11.5501i 0.0533902 0.507974i
\(518\) −0.940290 1.62863i −0.0413140 0.0715579i
\(519\) 20.5945 15.4752i 0.903998 0.679285i
\(520\) 2.05897 + 11.2007i 0.0902918 + 0.491182i
\(521\) −18.9750 + 13.7861i −0.831308 + 0.603981i −0.919929 0.392085i \(-0.871754\pi\)
0.0886210 + 0.996065i \(0.471754\pi\)
\(522\) 2.13476 0.0687322i 0.0934361 0.00300833i
\(523\) 6.59815 + 20.3070i 0.288517 + 0.887963i 0.985322 + 0.170703i \(0.0546040\pi\)
−0.696806 + 0.717260i \(0.745396\pi\)
\(524\) 9.62597 16.6727i 0.420512 0.728349i
\(525\) −8.24965 0.323504i −0.360044 0.0141189i
\(526\) −0.709968 1.22970i −0.0309561 0.0536175i
\(527\) −12.1313 + 13.4731i −0.528446 + 0.586899i
\(528\) −4.17537 0.817507i −0.181710 0.0355774i
\(529\) −5.70803 54.3082i −0.248175 2.36123i
\(530\) 7.72558 + 4.74981i 0.335578 + 0.206318i
\(531\) 4.88651 + 13.5401i 0.212056 + 0.587590i
\(532\) 6.30799 0.273486
\(533\) −9.67366 + 4.30699i −0.419013 + 0.186557i
\(534\) −18.6142 13.0716i −0.805515 0.565663i
\(535\) −1.50587 2.19793i −0.0651042 0.0950249i
\(536\) −6.45869 + 7.17310i −0.278973 + 0.309831i
\(537\) −4.08934 + 46.0201i −0.176468 + 1.98592i
\(538\) −2.45613 2.72781i −0.105891 0.117604i
\(539\) −5.44763 16.7661i −0.234646 0.722167i
\(540\) 6.39116 15.1908i 0.275032 0.653709i
\(541\) 10.3808 31.9488i 0.446305 1.37358i −0.434742 0.900555i \(-0.643160\pi\)
0.881047 0.473029i \(-0.156840\pi\)
\(542\) −15.8797 + 7.07012i −0.682093 + 0.303687i
\(543\) 33.4478 7.67411i 1.43538 0.329328i
\(544\) −4.17979 + 39.7680i −0.179207 + 1.70504i
\(545\) −4.14697 + 1.22179i −0.177637 + 0.0523357i
\(546\) 0.797759 + 2.32714i 0.0341409 + 0.0995924i
\(547\) −3.47767 33.0878i −0.148694 1.41473i −0.773423 0.633890i \(-0.781457\pi\)
0.624729 0.780842i \(-0.285210\pi\)
\(548\) 3.83331 + 11.7977i 0.163751 + 0.503974i
\(549\) 2.44266 33.6169i 0.104250 1.43473i
\(550\) −7.82621 + 7.78053i −0.333711 + 0.331763i
\(551\) 2.17754 3.77161i 0.0927664 0.160676i
\(552\) 19.3321 34.7643i 0.822827 1.47967i
\(553\) 3.68430 + 1.64036i 0.156672 + 0.0697550i
\(554\) 5.44212 + 2.42299i 0.231214 + 0.102943i
\(555\) −4.18025 + 9.10449i −0.177442 + 0.386464i
\(556\) −24.5242 + 10.9189i −1.04006 + 0.463064i
\(557\) 29.7702 1.26140 0.630702 0.776025i \(-0.282767\pi\)
0.630702 + 0.776025i \(0.282767\pi\)
\(558\) 5.98447 + 1.07202i 0.253343 + 0.0453823i
\(559\) −5.35937 + 16.4945i −0.226677 + 0.697641i
\(560\) 1.31057 + 1.24734i 0.0553818 + 0.0527096i
\(561\) 34.1952 0.550343i 1.44372 0.0232355i
\(562\) 1.17698 0.250175i 0.0496479 0.0105530i
\(563\) −23.2130 + 4.93408i −0.978312 + 0.207947i −0.669203 0.743080i \(-0.733364\pi\)
−0.309109 + 0.951027i \(0.600031\pi\)
\(564\) −5.06603 8.45733i −0.213318 0.356118i
\(565\) 13.0167 + 12.3887i 0.547617 + 0.521195i
\(566\) −1.82970 + 5.63124i −0.0769080 + 0.236699i
\(567\) 2.12094 8.31360i 0.0890709 0.349138i
\(568\) −0.404108 −0.0169560
\(569\) 26.6550 11.8676i 1.11744 0.497515i 0.236920 0.971529i \(-0.423862\pi\)
0.880517 + 0.474014i \(0.157195\pi\)
\(570\) 7.96945 + 11.2398i 0.333804 + 0.470782i
\(571\) −2.43726 1.08514i −0.101996 0.0454116i 0.355104 0.934827i \(-0.384445\pi\)
−0.457100 + 0.889415i \(0.651112\pi\)
\(572\) −7.32662 3.26202i −0.306341 0.136392i
\(573\) −20.7961 + 0.334696i −0.868771 + 0.0139821i
\(574\) 1.97029 3.41264i 0.0822382 0.142441i
\(575\) 19.8822 + 39.3050i 0.829145 + 1.63913i
\(576\) 7.48506 3.62553i 0.311877 0.151064i
\(577\) −10.1294 31.1750i −0.421692 1.29783i −0.906127 0.423007i \(-0.860975\pi\)
0.484435 0.874827i \(-0.339025\pi\)
\(578\) −2.35519 22.4081i −0.0979630 0.932055i
\(579\) 43.1393 + 8.44636i 1.79281 + 0.351019i
\(580\) 2.84029 0.836813i 0.117937 0.0347468i
\(581\) 0.328885 3.12913i 0.0136445 0.129818i
\(582\) −1.74736 1.87893i −0.0724303 0.0778841i
\(583\) −14.0611 + 6.26040i −0.582351 + 0.259279i
\(584\) 8.07935 24.8657i 0.334326 1.02895i
\(585\) 7.65494 10.6374i 0.316493 0.439802i
\(586\) −2.47698 7.62337i −0.102323 0.314919i
\(587\) −2.85518 3.17100i −0.117846 0.130881i 0.681335 0.731972i \(-0.261400\pi\)
−0.799181 + 0.601091i \(0.794733\pi\)
\(588\) −12.2466 8.60004i −0.505043 0.354660i
\(589\) 8.29501 9.21254i 0.341790 0.379596i
\(590\) −4.62464 6.75004i −0.190394 0.277895i
\(591\) −0.260788 + 2.93483i −0.0107274 + 0.120723i
\(592\) 2.00566 0.892978i 0.0824322 0.0367012i
\(593\) −7.81313 −0.320847 −0.160423 0.987048i \(-0.551286\pi\)
−0.160423 + 0.987048i \(0.551286\pi\)
\(594\) −6.20695 9.64380i −0.254674 0.395690i
\(595\) −12.3890 7.61695i −0.507900 0.312265i
\(596\) −0.901418 8.57642i −0.0369235 0.351304i
\(597\) −7.41905 + 8.51123i −0.303642 + 0.348341i
\(598\) 8.78239 9.75383i 0.359139 0.398864i
\(599\) 22.2102 + 38.4691i 0.907483 + 1.57181i 0.817550 + 0.575858i \(0.195332\pi\)
0.0899331 + 0.995948i \(0.471335\pi\)
\(600\) −3.23790 + 22.3433i −0.132187 + 0.912163i
\(601\) −7.98356 + 13.8279i −0.325656 + 0.564053i −0.981645 0.190718i \(-0.938919\pi\)
0.655989 + 0.754771i \(0.272252\pi\)
\(602\) −1.99440 6.13814i −0.0812858 0.250172i
\(603\) 11.1019 0.357445i 0.452106 0.0145563i
\(604\) −10.8181 + 7.85982i −0.440183 + 0.319811i
\(605\) 1.06073 + 5.77028i 0.0431246 + 0.234595i
\(606\) 1.15193 + 9.48839i 0.0467938 + 0.385439i
\(607\) −5.79724 10.0411i −0.235303 0.407557i 0.724058 0.689739i \(-0.242275\pi\)
−0.959361 + 0.282183i \(0.908942\pi\)
\(608\) 2.85802 27.1922i 0.115908 1.10279i
\(609\) 1.39797 0.649571i 0.0566487 0.0263219i
\(610\) 3.46385 + 18.8431i 0.140247 + 0.762936i
\(611\) −2.42257 7.45589i −0.0980065 0.301633i
\(612\) 22.9253 17.8110i 0.926702 0.719967i
\(613\) 0.0509077 0.156678i 0.00205614 0.00632816i −0.950023 0.312179i \(-0.898941\pi\)
0.952079 + 0.305851i \(0.0989410\pi\)
\(614\) −2.23938 0.475994i −0.0903739 0.0192096i
\(615\) −20.9013 + 1.95301i −0.842823 + 0.0787530i
\(616\) 7.03554 1.49545i 0.283470 0.0602534i
\(617\) −3.76370 + 35.8092i −0.151521 + 1.44162i 0.609444 + 0.792829i \(0.291393\pi\)
−0.760965 + 0.648794i \(0.775274\pi\)
\(618\) 22.8443 5.24131i 0.918934 0.210836i
\(619\) −43.6439 + 19.4315i −1.75420 + 0.781019i −0.763358 + 0.645976i \(0.776451\pi\)
−0.990840 + 0.135043i \(0.956883\pi\)
\(620\) 8.40342 0.648990i 0.337489 0.0260641i
\(621\) −44.2638 + 11.6670i −1.77624 + 0.468181i
\(622\) 8.64512 6.28105i 0.346638 0.251847i
\(623\) −16.0573 3.41308i −0.643321 0.136742i
\(624\) −2.79927 + 0.642252i −0.112061 + 0.0257107i
\(625\) −18.4804 16.8367i −0.739215 0.673470i
\(626\) 2.11795 + 3.66840i 0.0846503 + 0.146619i
\(627\) −23.3817 + 0.376309i −0.933776 + 0.0150283i
\(628\) −3.05423 29.0590i −0.121877 1.15958i
\(629\) −14.2772 + 10.3730i −0.569269 + 0.413598i
\(630\) 0.0221514 + 4.87692i 0.000882534 + 0.194301i
\(631\) −12.6855 9.21654i −0.505001 0.366905i 0.305923 0.952056i \(-0.401035\pi\)
−0.810924 + 0.585152i \(0.801035\pi\)
\(632\) 5.51425 9.55096i 0.219345 0.379917i
\(633\) −1.66565 13.7199i −0.0662037 0.545318i
\(634\) −3.38994 + 0.720555i −0.134632 + 0.0286169i
\(635\) −19.8728 + 25.8205i −0.788629 + 1.02465i
\(636\) −6.34988 + 11.4188i −0.251789 + 0.452786i
\(637\) −7.96265 8.84341i −0.315492 0.350389i
\(638\) 0.636737 1.95967i 0.0252087 0.0775843i
\(639\) 0.322131 + 0.335398i 0.0127433 + 0.0132681i
\(640\) 16.3572 13.9290i 0.646576 0.550594i
\(641\) −24.8019 27.5453i −0.979616 1.08797i −0.996111 0.0881103i \(-0.971917\pi\)
0.0164943 0.999864i \(-0.494749\pi\)
\(642\) −1.25823 + 0.945460i −0.0496582 + 0.0373143i
\(643\) 3.29095 + 5.70009i 0.129782 + 0.224790i 0.923592 0.383376i \(-0.125239\pi\)
−0.793810 + 0.608166i \(0.791905\pi\)
\(644\) 1.24517 11.8470i 0.0490666 0.466838i
\(645\) −20.5292 + 27.5804i −0.808337 + 1.08598i
\(646\) 2.53703 + 24.1382i 0.0998180 + 0.949705i
\(647\) 2.22736 1.61827i 0.0875666 0.0636209i −0.543141 0.839642i \(-0.682765\pi\)
0.630707 + 0.776021i \(0.282765\pi\)
\(648\) −22.0035 8.14449i −0.864378 0.319946i
\(649\) 13.8871 0.545115
\(650\) −2.68996 + 6.94675i −0.105509 + 0.272474i
\(651\) 4.27678 0.981246i 0.167620 0.0384581i
\(652\) 9.89346 10.9878i 0.387458 0.430316i
\(653\) 5.91127 + 2.63187i 0.231326 + 0.102993i 0.519126 0.854697i \(-0.326257\pi\)
−0.287801 + 0.957690i \(0.592924\pi\)
\(654\) 0.828150 + 2.41579i 0.0323832 + 0.0944650i
\(655\) 26.6930 14.4426i 1.04298 0.564319i
\(656\) 3.72180 + 2.70405i 0.145312 + 0.105575i
\(657\) −27.0782 + 13.1158i −1.05642 + 0.511697i
\(658\) 2.36020 + 1.71479i 0.0920103 + 0.0668494i
\(659\) 6.54526 + 7.26924i 0.254967 + 0.283170i 0.857016 0.515289i \(-0.172316\pi\)
−0.602049 + 0.798459i \(0.705649\pi\)
\(660\) −11.6917 10.7744i −0.455099 0.419392i
\(661\) −0.222630 + 0.247256i −0.00865932 + 0.00961714i −0.747459 0.664308i \(-0.768726\pi\)
0.738800 + 0.673925i \(0.235393\pi\)
\(662\) −4.32756 + 0.919851i −0.168195 + 0.0357510i
\(663\) 20.9360 9.72796i 0.813087 0.377803i
\(664\) −8.41601 1.78888i −0.326604 0.0694219i
\(665\) 8.47125 + 5.20826i 0.328501 + 0.201967i
\(666\) 5.48102 + 2.23184i 0.212385 + 0.0864821i
\(667\) −6.65361 4.83413i −0.257629 0.187178i
\(668\) −10.9673 + 18.9958i −0.424336 + 0.734971i
\(669\) 13.0678 9.81945i 0.505230 0.379642i
\(670\) −6.05644 + 1.78436i −0.233981 + 0.0689360i
\(671\) −29.7053 13.2256i −1.14676 0.510570i
\(672\) 6.35921 7.29536i 0.245312 0.281425i
\(673\) 6.03084 + 1.28189i 0.232472 + 0.0494134i 0.322674 0.946510i \(-0.395418\pi\)
−0.0902026 + 0.995923i \(0.528751\pi\)
\(674\) 3.74792 0.144364
\(675\) 21.1254 15.1234i 0.813117 0.582101i
\(676\) 13.0257 0.500990
\(677\) 14.2930 + 3.03808i 0.549326 + 0.116763i 0.474210 0.880412i \(-0.342734\pi\)
0.0751165 + 0.997175i \(0.476067\pi\)
\(678\) 6.97502 8.00183i 0.267874 0.307309i
\(679\) −1.69175 0.753215i −0.0649233 0.0289057i
\(680\) −24.2564 + 31.5160i −0.930192 + 1.20858i
\(681\) 32.6839 24.5594i 1.25245 0.941119i
\(682\) 2.93263 5.07946i 0.112296 0.194503i
\(683\) 16.7839 + 12.1942i 0.642217 + 0.466598i 0.860611 0.509263i \(-0.170082\pi\)
−0.218394 + 0.975861i \(0.570082\pi\)
\(684\) −15.6757 + 12.1786i −0.599375 + 0.465662i
\(685\) −4.59300 + 19.0086i −0.175490 + 0.726282i
\(686\) 9.30951 + 1.97880i 0.355439 + 0.0755509i
\(687\) −24.6722 + 11.4640i −0.941301 + 0.437378i
\(688\) 7.37005 1.56655i 0.280981 0.0597243i
\(689\) −6.95218 + 7.72118i −0.264857 + 0.294153i
\(690\) 22.6825 12.7487i 0.863508 0.485335i
\(691\) 17.5081 + 19.4447i 0.666040 + 0.739713i 0.977590 0.210517i \(-0.0675148\pi\)
−0.311550 + 0.950230i \(0.600848\pi\)
\(692\) −17.0671 12.4000i −0.648793 0.471376i
\(693\) −6.84949 4.64721i −0.260191 0.176533i
\(694\) −6.15055 4.46863i −0.233472 0.169627i
\(695\) −41.9498 5.58527i −1.59125 0.211861i
\(696\) −1.36698 3.98761i −0.0518152 0.151150i
\(697\) −33.7818 15.0406i −1.27958 0.569705i
\(698\) −7.30429 + 8.11223i −0.276471 + 0.307053i
\(699\) −3.18614 + 0.731013i −0.120511 + 0.0276495i
\(700\) 1.73076 + 6.53575i 0.0654166 + 0.247028i
\(701\) −24.6481 −0.930945 −0.465472 0.885062i \(-0.654116\pi\)
−0.465472 + 0.885062i \(0.654116\pi\)
\(702\) −6.47541 4.24286i −0.244399 0.160136i
\(703\) 9.76234 7.09275i 0.368193 0.267508i
\(704\) −0.838683 7.97954i −0.0316091 0.300740i
\(705\) 0.179512 15.5405i 0.00676080 0.585289i
\(706\) −2.02074 + 19.2260i −0.0760515 + 0.723582i
\(707\) 3.44915 + 5.97411i 0.129719 + 0.224679i
\(708\) 9.42420 7.08156i 0.354183 0.266141i
\(709\) −18.3812 20.4144i −0.690321 0.766680i 0.291483 0.956576i \(-0.405851\pi\)
−0.981804 + 0.189897i \(0.939185\pi\)
\(710\) −0.225181 0.138445i −0.00845091 0.00519575i
\(711\) −12.3227 + 3.03679i −0.462136 + 0.113889i
\(712\) −13.8721 + 42.6938i −0.519878 + 1.60002i
\(713\) −15.6646 17.3973i −0.586645 0.651535i
\(714\) −4.17520 + 7.50815i −0.156253 + 0.280985i
\(715\) −7.14588 10.4300i −0.267241 0.390059i
\(716\) 37.0087 7.86644i 1.38308 0.293983i
\(717\) 0.299194 + 2.46445i 0.0111736 + 0.0920367i
\(718\) −7.83774 + 13.5754i −0.292502 + 0.506628i
\(719\) 29.6588 + 21.5483i 1.10609 + 0.803618i 0.982043 0.188659i \(-0.0604141\pi\)
0.124042 + 0.992277i \(0.460414\pi\)
\(720\) −5.66504 0.569417i −0.211124 0.0212209i
\(721\) 13.6851 9.94284i 0.509661 0.370291i
\(722\) −0.220162 2.09470i −0.00819358 0.0779567i
\(723\) 18.9693 0.305295i 0.705476 0.0113540i
\(724\) −14.0514 24.3378i −0.522218 0.904508i
\(725\) 4.50526 + 1.22133i 0.167321 + 0.0453589i
\(726\) 3.37796 0.775023i 0.125368 0.0287638i
\(727\) −9.30118 1.97703i −0.344962 0.0733239i 0.0321730 0.999482i \(-0.489757\pi\)
−0.377135 + 0.926158i \(0.623091\pi\)
\(728\) 3.92800 2.85386i 0.145581 0.105771i
\(729\) 10.7802 + 24.7546i 0.399266 + 0.916835i
\(730\) 13.0209 11.0880i 0.481925 0.410385i
\(731\) −55.3291 + 24.6341i −2.04642 + 0.911126i
\(732\) −26.9032 + 6.17256i −0.994372 + 0.228144i
\(733\) −1.05311 + 10.0197i −0.0388976 + 0.370086i 0.957707 + 0.287746i \(0.0929059\pi\)
−0.996604 + 0.0823398i \(0.973761\pi\)
\(734\) −21.4747 + 4.56460i −0.792647 + 0.168482i
\(735\) −9.34577 21.6609i −0.344724 0.798974i
\(736\) −50.5054 10.7353i −1.86166 0.395707i
\(737\) 3.31138 10.1914i 0.121976 0.375404i
\(738\) 1.69241 + 12.2846i 0.0622984 + 0.452201i
\(739\) −5.85917 18.0327i −0.215533 0.663342i −0.999115 0.0420544i \(-0.986610\pi\)
0.783582 0.621288i \(-0.213390\pi\)
\(740\) 8.13246 + 1.08277i 0.298955 + 0.0398034i
\(741\) −14.3154 + 6.65170i −0.525890 + 0.244356i
\(742\) 0.404151 3.84524i 0.0148368 0.141163i
\(743\) −10.9750 19.0092i −0.402633 0.697381i 0.591410 0.806371i \(-0.298572\pi\)
−0.994043 + 0.108990i \(0.965238\pi\)
\(744\) −1.44612 11.9116i −0.0530173 0.436702i
\(745\) 5.87066 12.2619i 0.215084 0.449240i
\(746\) −7.04928 + 5.12160i −0.258092 + 0.187515i
\(747\) 5.22402 + 8.41103i 0.191137 + 0.307743i
\(748\) −8.65462 26.6362i −0.316444 0.973915i
\(749\) −0.567947 + 0.983714i −0.0207523 + 0.0359441i
\(750\) −9.45896 + 11.3411i −0.345393 + 0.414119i
\(751\) −6.43136 11.1394i −0.234684 0.406484i 0.724497 0.689278i \(-0.242072\pi\)
−0.959181 + 0.282794i \(0.908739\pi\)
\(752\) −2.27897 + 2.53105i −0.0831055 + 0.0922980i
\(753\) 10.6364 12.2022i 0.387611 0.444672i
\(754\) −0.145390 1.38329i −0.00529478 0.0503764i
\(755\) −21.0176 + 1.62317i −0.764908 + 0.0590733i
\(756\) −7.01809 + 0.339085i −0.255245 + 0.0123324i
\(757\) −3.01935 −0.109740 −0.0548701 0.998494i \(-0.517474\pi\)
−0.0548701 + 0.998494i \(0.517474\pi\)
\(758\) −2.50021 + 1.11317i −0.0908118 + 0.0404320i
\(759\) −3.90871 + 43.9874i −0.141877 + 1.59664i
\(760\) 16.5858 21.5497i 0.601632 0.781691i
\(761\) 28.0099 31.1081i 1.01536 1.12767i 0.0235764 0.999722i \(-0.492495\pi\)
0.991781 0.127947i \(-0.0408386\pi\)
\(762\) 15.7513 + 11.0612i 0.570610 + 0.400703i
\(763\) 1.23331 + 1.36972i 0.0446486 + 0.0495873i
\(764\) 5.26338 + 16.1990i 0.190422 + 0.586060i
\(765\) 45.4931 4.99054i 1.64481 0.180433i
\(766\) 1.20666 3.71373i 0.0435985 0.134183i
\(767\) 8.56370 3.81280i 0.309217 0.137672i
\(768\) −15.1828 16.3260i −0.547861 0.589114i
\(769\) −4.91139 + 46.7288i −0.177109 + 1.68508i 0.439837 + 0.898077i \(0.355036\pi\)
−0.616947 + 0.787005i \(0.711631\pi\)
\(770\) 4.43275 + 1.57703i 0.159745 + 0.0568320i