Properties

Label 224.2.bd.a.109.14
Level $224$
Weight $2$
Character 224.109
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 109.14
Character \(\chi\) \(=\) 224.109
Dual form 224.2.bd.a.37.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.399779 + 1.35653i) q^{2} +(1.62045 + 2.11181i) q^{3} +(-1.68035 - 1.08463i) q^{4} +(1.05240 + 0.807534i) q^{5} +(-3.51256 + 1.35393i) q^{6} +(2.64452 + 0.0808662i) q^{7} +(2.14310 - 1.84584i) q^{8} +(-1.05744 + 3.94640i) q^{9} +O(q^{10})\) \(q+(-0.399779 + 1.35653i) q^{2} +(1.62045 + 2.11181i) q^{3} +(-1.68035 - 1.08463i) q^{4} +(1.05240 + 0.807534i) q^{5} +(-3.51256 + 1.35393i) q^{6} +(2.64452 + 0.0808662i) q^{7} +(2.14310 - 1.84584i) q^{8} +(-1.05744 + 3.94640i) q^{9} +(-1.51617 + 1.10478i) q^{10} +(-1.69616 - 0.223304i) q^{11} +(-0.432405 - 5.30618i) q^{12} +(-0.550667 - 0.228094i) q^{13} +(-1.16692 + 3.55504i) q^{14} +3.53104i q^{15} +(1.64718 + 3.64511i) q^{16} +(-4.66215 - 2.69169i) q^{17} +(-4.93068 - 3.01213i) q^{18} +(-0.654477 - 4.97125i) q^{19} +(-0.892530 - 2.49840i) q^{20} +(4.11453 + 5.71576i) q^{21} +(0.981009 - 2.21162i) q^{22} +(1.35463 - 5.05554i) q^{23} +(7.37086 + 1.53473i) q^{24} +(-0.838663 - 3.12993i) q^{25} +(0.529562 - 0.655810i) q^{26} +(-2.66982 + 1.10587i) q^{27} +(-4.35601 - 3.00419i) q^{28} +(-3.87939 + 9.36567i) q^{29} +(-4.78996 - 1.41163i) q^{30} +(1.43967 - 2.49358i) q^{31} +(-5.60321 + 0.777209i) q^{32} +(-2.27697 - 3.94383i) q^{33} +(5.51519 - 5.24827i) q^{34} +(2.71778 + 2.22064i) q^{35} +(6.05724 - 5.48443i) q^{36} +(4.83651 + 3.71118i) q^{37} +(7.00530 + 1.09958i) q^{38} +(-0.410638 - 1.53252i) q^{39} +(3.74597 - 0.211937i) q^{40} +(2.70535 + 2.70535i) q^{41} +(-9.39851 + 3.29645i) q^{42} +(1.10066 + 2.65723i) q^{43} +(2.60795 + 2.21493i) q^{44} +(-4.29970 + 3.29928i) q^{45} +(6.31644 + 3.85869i) q^{46} +(-8.38206 + 4.83939i) q^{47} +(-5.02862 + 9.38525i) q^{48} +(6.98692 + 0.427704i) q^{49} +(4.58113 + 0.113609i) q^{50} +(-1.87043 - 14.2073i) q^{51} +(0.677920 + 0.980546i) q^{52} +(6.88442 + 0.906351i) q^{53} +(-0.432817 - 4.06380i) q^{54} +(-1.60471 - 1.60471i) q^{55} +(5.81672 - 4.70805i) q^{56} +(9.43780 - 9.43780i) q^{57} +(-11.1539 - 9.00670i) q^{58} +(-0.0283506 + 0.215344i) q^{59} +(3.82985 - 5.93339i) q^{60} +(4.05592 - 0.533972i) q^{61} +(2.80707 + 2.94984i) q^{62} +(-3.11554 + 10.3508i) q^{63} +(1.18574 - 7.91164i) q^{64} +(-0.395328 - 0.684728i) q^{65} +(6.26022 - 1.51212i) q^{66} +(-8.41153 - 10.9621i) q^{67} +(4.91458 + 9.57968i) q^{68} +(12.8715 - 5.33153i) q^{69} +(-4.09888 + 2.79899i) q^{70} +(6.41498 - 6.41498i) q^{71} +(5.01825 + 10.4094i) q^{72} +(-9.61077 + 2.57520i) q^{73} +(-6.96787 + 5.07722i) q^{74} +(5.25082 - 6.84301i) q^{75} +(-4.29219 + 9.06332i) q^{76} +(-4.46747 - 0.727693i) q^{77} +(2.24308 + 0.0556267i) q^{78} +(4.05809 - 2.34294i) q^{79} +(-1.21006 + 5.16626i) q^{80} +(3.95304 + 2.28229i) q^{81} +(-4.75143 + 2.58835i) q^{82} +(9.11873 + 3.77710i) q^{83} +(-0.714412 - 14.0672i) q^{84} +(-2.73281 - 6.59758i) q^{85} +(-4.04464 + 0.430776i) q^{86} +(-26.0649 + 6.98407i) q^{87} +(-4.04723 + 2.65228i) q^{88} +(-16.1173 - 4.31863i) q^{89} +(-2.75664 - 7.15166i) q^{90} +(-1.43780 - 0.647728i) q^{91} +(-7.75962 + 7.02583i) q^{92} +(7.59889 - 1.00041i) q^{93} +(-3.21381 - 13.3052i) q^{94} +(3.32568 - 5.76025i) q^{95} +(-10.7210 - 10.5735i) q^{96} -9.28832 q^{97} +(-3.37342 + 9.30699i) q^{98} +(2.67483 - 6.45761i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.399779 + 1.35653i −0.282686 + 0.959212i
\(3\) 1.62045 + 2.11181i 0.935568 + 1.21926i 0.975488 + 0.220053i \(0.0706231\pi\)
−0.0399198 + 0.999203i \(0.512710\pi\)
\(4\) −1.68035 1.08463i −0.840177 0.542313i
\(5\) 1.05240 + 0.807534i 0.470647 + 0.361140i 0.816688 0.577079i \(-0.195808\pi\)
−0.346041 + 0.938219i \(0.612474\pi\)
\(6\) −3.51256 + 1.35393i −1.43400 + 0.552741i
\(7\) 2.64452 + 0.0808662i 0.999533 + 0.0305646i
\(8\) 2.14310 1.84584i 0.757700 0.652604i
\(9\) −1.05744 + 3.94640i −0.352479 + 1.31547i
\(10\) −1.51617 + 1.10478i −0.479456 + 0.349361i
\(11\) −1.69616 0.223304i −0.511412 0.0673287i −0.129596 0.991567i \(-0.541368\pi\)
−0.381816 + 0.924238i \(0.624701\pi\)
\(12\) −0.432405 5.30618i −0.124825 1.53176i
\(13\) −0.550667 0.228094i −0.152728 0.0632619i 0.305010 0.952349i \(-0.401340\pi\)
−0.457738 + 0.889087i \(0.651340\pi\)
\(14\) −1.16692 + 3.55504i −0.311872 + 0.950124i
\(15\) 3.53104i 0.911710i
\(16\) 1.64718 + 3.64511i 0.411794 + 0.911277i
\(17\) −4.66215 2.69169i −1.13074 0.652831i −0.186617 0.982433i \(-0.559752\pi\)
−0.944120 + 0.329601i \(0.893086\pi\)
\(18\) −4.93068 3.01213i −1.16217 0.709967i
\(19\) −0.654477 4.97125i −0.150147 1.14048i −0.886115 0.463466i \(-0.846606\pi\)
0.735967 0.677017i \(-0.236728\pi\)
\(20\) −0.892530 2.49840i −0.199576 0.558659i
\(21\) 4.11453 + 5.71576i 0.897865 + 1.24728i
\(22\) 0.981009 2.21162i 0.209152 0.471520i
\(23\) 1.35463 5.05554i 0.282459 1.05415i −0.668217 0.743967i \(-0.732942\pi\)
0.950676 0.310186i \(-0.100391\pi\)
\(24\) 7.37086 + 1.53473i 1.50457 + 0.313275i
\(25\) −0.838663 3.12993i −0.167733 0.625987i
\(26\) 0.529562 0.655810i 0.103856 0.128615i
\(27\) −2.66982 + 1.10587i −0.513807 + 0.212826i
\(28\) −4.35601 3.00419i −0.823209 0.567739i
\(29\) −3.87939 + 9.36567i −0.720384 + 1.73916i −0.0481284 + 0.998841i \(0.515326\pi\)
−0.672255 + 0.740319i \(0.734674\pi\)
\(30\) −4.78996 1.41163i −0.874524 0.257728i
\(31\) 1.43967 2.49358i 0.258572 0.447860i −0.707288 0.706926i \(-0.750081\pi\)
0.965860 + 0.259066i \(0.0834147\pi\)
\(32\) −5.60321 + 0.777209i −0.990517 + 0.137392i
\(33\) −2.27697 3.94383i −0.396370 0.686533i
\(34\) 5.51519 5.24827i 0.945848 0.900071i
\(35\) 2.71778 + 2.22064i 0.459389 + 0.375356i
\(36\) 6.05724 5.48443i 1.00954 0.914072i
\(37\) 4.83651 + 3.71118i 0.795117 + 0.610115i 0.924370 0.381497i \(-0.124591\pi\)
−0.129253 + 0.991612i \(0.541258\pi\)
\(38\) 7.00530 + 1.09958i 1.13641 + 0.178376i
\(39\) −0.410638 1.53252i −0.0657547 0.245400i
\(40\) 3.74597 0.211937i 0.592290 0.0335102i
\(41\) 2.70535 + 2.70535i 0.422505 + 0.422505i 0.886065 0.463561i \(-0.153428\pi\)
−0.463561 + 0.886065i \(0.653428\pi\)
\(42\) −9.39851 + 3.29645i −1.45022 + 0.508654i
\(43\) 1.10066 + 2.65723i 0.167849 + 0.405224i 0.985313 0.170755i \(-0.0546208\pi\)
−0.817464 + 0.575980i \(0.804621\pi\)
\(44\) 2.60795 + 2.21493i 0.393163 + 0.333913i
\(45\) −4.29970 + 3.29928i −0.640961 + 0.491827i
\(46\) 6.31644 + 3.85869i 0.931309 + 0.568933i
\(47\) −8.38206 + 4.83939i −1.22265 + 0.705897i −0.965482 0.260470i \(-0.916123\pi\)
−0.257168 + 0.966367i \(0.582789\pi\)
\(48\) −5.02862 + 9.38525i −0.725818 + 1.35464i
\(49\) 6.98692 + 0.427704i 0.998132 + 0.0611005i
\(50\) 4.58113 + 0.113609i 0.647870 + 0.0160667i
\(51\) −1.87043 14.2073i −0.261913 1.98943i
\(52\) 0.677920 + 0.980546i 0.0940105 + 0.135977i
\(53\) 6.88442 + 0.906351i 0.945648 + 0.124497i 0.587551 0.809187i \(-0.300092\pi\)
0.358097 + 0.933684i \(0.383426\pi\)
\(54\) −0.432817 4.06380i −0.0588989 0.553013i
\(55\) −1.60471 1.60471i −0.216379 0.216379i
\(56\) 5.81672 4.70805i 0.777292 0.629140i
\(57\) 9.43780 9.43780i 1.25007 1.25007i
\(58\) −11.1539 9.00670i −1.46458 1.18264i
\(59\) −0.0283506 + 0.215344i −0.00369093 + 0.0280354i −0.993191 0.116495i \(-0.962834\pi\)
0.989500 + 0.144531i \(0.0461673\pi\)
\(60\) 3.82985 5.93339i 0.494432 0.765998i
\(61\) 4.05592 0.533972i 0.519308 0.0683682i 0.133684 0.991024i \(-0.457319\pi\)
0.385624 + 0.922656i \(0.373986\pi\)
\(62\) 2.80707 + 2.94984i 0.356498 + 0.374629i
\(63\) −3.11554 + 10.3508i −0.392521 + 1.30408i
\(64\) 1.18574 7.91164i 0.148217 0.988955i
\(65\) −0.395328 0.684728i −0.0490344 0.0849301i
\(66\) 6.26022 1.51212i 0.770579 0.186129i
\(67\) −8.41153 10.9621i −1.02763 1.33924i −0.939282 0.343146i \(-0.888507\pi\)
−0.0883499 0.996089i \(-0.528159\pi\)
\(68\) 4.91458 + 9.57968i 0.595980 + 1.16171i
\(69\) 12.8715 5.33153i 1.54954 0.641841i
\(70\) −4.09888 + 2.79899i −0.489910 + 0.334543i
\(71\) 6.41498 6.41498i 0.761319 0.761319i −0.215242 0.976561i \(-0.569054\pi\)
0.976561 + 0.215242i \(0.0690541\pi\)
\(72\) 5.01825 + 10.4094i 0.591406 + 1.22676i
\(73\) −9.61077 + 2.57520i −1.12486 + 0.301404i −0.772847 0.634593i \(-0.781168\pi\)
−0.352009 + 0.935997i \(0.614501\pi\)
\(74\) −6.96787 + 5.07722i −0.809999 + 0.590215i
\(75\) 5.25082 6.84301i 0.606313 0.790162i
\(76\) −4.29219 + 9.06332i −0.492348 + 1.03963i
\(77\) −4.46747 0.727693i −0.509115 0.0829283i
\(78\) 2.24308 + 0.0556267i 0.253979 + 0.00629849i
\(79\) 4.05809 2.34294i 0.456571 0.263601i −0.254030 0.967196i \(-0.581756\pi\)
0.710601 + 0.703595i \(0.248423\pi\)
\(80\) −1.21006 + 5.16626i −0.135289 + 0.577605i
\(81\) 3.95304 + 2.28229i 0.439226 + 0.253587i
\(82\) −4.75143 + 2.58835i −0.524708 + 0.285835i
\(83\) 9.11873 + 3.77710i 1.00091 + 0.414591i 0.822131 0.569298i \(-0.192785\pi\)
0.178780 + 0.983889i \(0.442785\pi\)
\(84\) −0.714412 14.0672i −0.0779488 1.53486i
\(85\) −2.73281 6.59758i −0.296414 0.715608i
\(86\) −4.04464 + 0.430776i −0.436145 + 0.0464518i
\(87\) −26.0649 + 6.98407i −2.79445 + 0.748771i
\(88\) −4.04723 + 2.65228i −0.431436 + 0.282735i
\(89\) −16.1173 4.31863i −1.70844 0.457774i −0.733395 0.679802i \(-0.762066\pi\)
−0.975040 + 0.222028i \(0.928732\pi\)
\(90\) −2.75664 7.15166i −0.290575 0.753851i
\(91\) −1.43780 0.647728i −0.150723 0.0679004i
\(92\) −7.75962 + 7.02583i −0.808996 + 0.732493i
\(93\) 7.59889 1.00041i 0.787968 0.103738i
\(94\) −3.21381 13.3052i −0.331479 1.37233i
\(95\) 3.32568 5.76025i 0.341208 0.590989i
\(96\) −10.7210 10.5735i −1.09421 1.07915i
\(97\) −9.28832 −0.943086 −0.471543 0.881843i \(-0.656303\pi\)
−0.471543 + 0.881843i \(0.656303\pi\)
\(98\) −3.37342 + 9.30699i −0.340767 + 0.940148i
\(99\) 2.67483 6.45761i 0.268831 0.649015i
\(100\) −1.98555 + 6.16903i −0.198555 + 0.616903i
\(101\) −1.94029 + 14.7380i −0.193066 + 1.46648i 0.570789 + 0.821097i \(0.306637\pi\)
−0.763855 + 0.645388i \(0.776696\pi\)
\(102\) 20.0205 + 3.14250i 1.98232 + 0.311154i
\(103\) 6.26364 + 1.67834i 0.617175 + 0.165372i 0.553843 0.832621i \(-0.313161\pi\)
0.0633318 + 0.997993i \(0.479827\pi\)
\(104\) −1.60116 + 0.527617i −0.157007 + 0.0517371i
\(105\) −0.285542 + 9.33789i −0.0278660 + 0.911284i
\(106\) −3.98174 + 8.97659i −0.386741 + 0.871884i
\(107\) 1.46810 1.91327i 0.141927 0.184963i −0.716981 0.697093i \(-0.754477\pi\)
0.858908 + 0.512130i \(0.171143\pi\)
\(108\) 5.68570 + 1.03749i 0.547107 + 0.0998326i
\(109\) 1.07390 0.824034i 0.102861 0.0789282i −0.556050 0.831149i \(-0.687684\pi\)
0.658912 + 0.752220i \(0.271017\pi\)
\(110\) 2.81837 1.53531i 0.268721 0.146386i
\(111\) 16.2276i 1.54026i
\(112\) 4.06122 + 9.77274i 0.383749 + 0.923437i
\(113\) 9.70571i 0.913036i 0.889714 + 0.456518i \(0.150904\pi\)
−0.889714 + 0.456518i \(0.849096\pi\)
\(114\) 9.02964 + 16.5757i 0.845703 + 1.55246i
\(115\) 5.50813 4.22653i 0.513635 0.394126i
\(116\) 16.6770 11.5300i 1.54842 1.07053i
\(117\) 1.48245 1.93196i 0.137052 0.178610i
\(118\) −0.280787 0.124548i −0.0258485 0.0114656i
\(119\) −12.1115 7.49523i −1.11026 0.687087i
\(120\) 6.51774 + 7.56736i 0.594985 + 0.690802i
\(121\) −7.79808 2.08949i −0.708917 0.189954i
\(122\) −0.897123 + 5.71546i −0.0812217 + 0.517453i
\(123\) −1.32931 + 10.0971i −0.119860 + 0.910423i
\(124\) −5.12375 + 2.62859i −0.460126 + 0.236055i
\(125\) 4.18310 10.0989i 0.374148 0.903274i
\(126\) −12.7957 8.36436i −1.13993 0.745156i
\(127\) −15.3584 −1.36283 −0.681417 0.731895i \(-0.738636\pi\)
−0.681417 + 0.731895i \(0.738636\pi\)
\(128\) 10.2584 + 4.77140i 0.906719 + 0.421736i
\(129\) −3.82801 + 6.63031i −0.337038 + 0.583766i
\(130\) 1.08690 0.262535i 0.0953273 0.0230258i
\(131\) −13.2843 + 1.74892i −1.16066 + 0.152804i −0.686158 0.727452i \(-0.740704\pi\)
−0.474500 + 0.880256i \(0.657371\pi\)
\(132\) −0.451461 + 9.09669i −0.0392946 + 0.791766i
\(133\) −1.32877 13.1995i −0.115219 1.14454i
\(134\) 18.2332 7.02808i 1.57511 0.607133i
\(135\) −3.70274 0.992147i −0.318681 0.0853904i
\(136\) −14.9599 + 2.83703i −1.28280 + 0.243273i
\(137\) 7.49981 2.00957i 0.640752 0.171689i 0.0762081 0.997092i \(-0.475719\pi\)
0.564544 + 0.825403i \(0.309052\pi\)
\(138\) 2.08665 + 19.5920i 0.177628 + 1.66778i
\(139\) 0.525559 + 1.26881i 0.0445774 + 0.107619i 0.944600 0.328224i \(-0.106450\pi\)
−0.900023 + 0.435843i \(0.856450\pi\)
\(140\) −2.15827 6.67923i −0.182407 0.564498i
\(141\) −23.8026 9.85936i −2.00454 0.830308i
\(142\) 6.13755 + 11.2667i 0.515052 + 0.945481i
\(143\) 0.883087 + 0.509851i 0.0738474 + 0.0426358i
\(144\) −16.1269 + 2.64596i −1.34390 + 0.220496i
\(145\) −11.6458 + 6.72368i −0.967127 + 0.558371i
\(146\) 0.348847 14.0668i 0.0288708 1.16418i
\(147\) 10.4187 + 15.4481i 0.859323 + 1.27414i
\(148\) −4.10180 11.4819i −0.337166 0.943807i
\(149\) −5.81887 + 7.58329i −0.476700 + 0.621248i −0.968365 0.249537i \(-0.919722\pi\)
0.491665 + 0.870784i \(0.336388\pi\)
\(150\) 7.18358 + 9.85860i 0.586537 + 0.804951i
\(151\) 10.0907 2.70380i 0.821172 0.220032i 0.176313 0.984334i \(-0.443583\pi\)
0.644859 + 0.764302i \(0.276916\pi\)
\(152\) −10.5787 9.44581i −0.858050 0.766157i
\(153\) 15.5524 15.5524i 1.25734 1.25734i
\(154\) 2.77314 5.76935i 0.223466 0.464907i
\(155\) 3.52875 1.46166i 0.283436 0.117403i
\(156\) −0.972195 + 3.02057i −0.0778379 + 0.241839i
\(157\) −8.51876 11.1019i −0.679871 0.886026i 0.318205 0.948022i \(-0.396920\pi\)
−0.998076 + 0.0619963i \(0.980253\pi\)
\(158\) 1.55593 + 6.44159i 0.123783 + 0.512465i
\(159\) 9.24183 + 16.0073i 0.732925 + 1.26946i
\(160\) −6.52443 3.70685i −0.515802 0.293052i
\(161\) 3.99116 13.2599i 0.314547 1.04503i
\(162\) −4.67634 + 4.45001i −0.367408 + 0.349626i
\(163\) 19.8763 2.61676i 1.55683 0.204961i 0.697577 0.716510i \(-0.254262\pi\)
0.859254 + 0.511549i \(0.170928\pi\)
\(164\) −1.61165 7.48024i −0.125849 0.584108i
\(165\) 0.788495 5.98921i 0.0613843 0.466260i
\(166\) −8.76923 + 10.8598i −0.680624 + 0.842887i
\(167\) −6.01405 + 6.01405i −0.465381 + 0.465381i −0.900414 0.435033i \(-0.856737\pi\)
0.435033 + 0.900414i \(0.356737\pi\)
\(168\) 19.3682 + 4.65466i 1.49429 + 0.359115i
\(169\) −8.94118 8.94118i −0.687783 0.687783i
\(170\) 10.0423 1.06956i 0.770212 0.0820318i
\(171\) 20.3106 + 2.67395i 1.55319 + 0.204482i
\(172\) 1.03260 5.65890i 0.0787350 0.431487i
\(173\) −0.741181 5.62983i −0.0563510 0.428028i −0.996246 0.0865651i \(-0.972411\pi\)
0.939895 0.341463i \(-0.110922\pi\)
\(174\) 0.946091 38.1499i 0.0717230 2.89214i
\(175\) −1.96475 8.34498i −0.148521 0.630821i
\(176\) −1.97991 6.55052i −0.149241 0.493764i
\(177\) −0.500707 + 0.289083i −0.0376354 + 0.0217288i
\(178\) 12.3017 20.1372i 0.922054 1.50935i
\(179\) 4.22574 3.24253i 0.315847 0.242358i −0.438655 0.898655i \(-0.644545\pi\)
0.754502 + 0.656298i \(0.227878\pi\)
\(180\) 10.8035 0.880387i 0.805245 0.0656202i
\(181\) 0.166639 + 0.402302i 0.0123862 + 0.0299029i 0.929952 0.367682i \(-0.119848\pi\)
−0.917565 + 0.397585i \(0.869848\pi\)
\(182\) 1.45347 1.69148i 0.107738 0.125381i
\(183\) 7.70008 + 7.70008i 0.569206 + 0.569206i
\(184\) −6.42863 13.3349i −0.473925 0.983065i
\(185\) 2.09303 + 7.81129i 0.153883 + 0.574298i
\(186\) −1.68078 + 10.7081i −0.123241 + 0.785154i
\(187\) 7.30670 + 5.60662i 0.534319 + 0.409997i
\(188\) 19.3337 + 0.959516i 1.41006 + 0.0699799i
\(189\) −7.14980 + 2.70860i −0.520072 + 0.197022i
\(190\) 6.48442 + 6.81422i 0.470429 + 0.494355i
\(191\) −2.23881 3.87774i −0.161995 0.280583i 0.773589 0.633687i \(-0.218459\pi\)
−0.935584 + 0.353104i \(0.885126\pi\)
\(192\) 18.6293 10.3164i 1.34446 0.744520i
\(193\) −11.3376 + 19.6373i −0.816098 + 1.41352i 0.0924389 + 0.995718i \(0.470534\pi\)
−0.908537 + 0.417805i \(0.862800\pi\)
\(194\) 3.71328 12.5999i 0.266598 0.904620i
\(195\) 0.805408 1.94443i 0.0576765 0.139243i
\(196\) −11.2766 8.29688i −0.805471 0.592635i
\(197\) −9.07205 + 3.75777i −0.646357 + 0.267730i −0.681685 0.731646i \(-0.738752\pi\)
0.0353278 + 0.999376i \(0.488752\pi\)
\(198\) 7.69061 + 6.21011i 0.546548 + 0.441333i
\(199\) 1.01507 + 3.78831i 0.0719567 + 0.268546i 0.992526 0.122033i \(-0.0389414\pi\)
−0.920569 + 0.390579i \(0.872275\pi\)
\(200\) −7.57470 5.15972i −0.535612 0.364847i
\(201\) 9.51947 35.5272i 0.671452 2.50589i
\(202\) −19.2168 8.52400i −1.35209 0.599747i
\(203\) −11.0165 + 24.4539i −0.773204 + 1.71633i
\(204\) −12.2667 + 25.9021i −0.858838 + 1.81351i
\(205\) 0.662445 + 5.03177i 0.0462672 + 0.351434i
\(206\) −4.78079 + 7.82586i −0.333093 + 0.545254i
\(207\) 18.5188 + 10.6918i 1.28714 + 0.743133i
\(208\) −0.0756195 2.38295i −0.00524327 0.165228i
\(209\) 8.57819i 0.593366i
\(210\) −12.5530 4.12044i −0.866238 0.284337i
\(211\) 20.7378 + 8.58990i 1.42765 + 0.591353i 0.956771 0.290843i \(-0.0939359\pi\)
0.470882 + 0.882196i \(0.343936\pi\)
\(212\) −10.5852 8.99001i −0.726995 0.617436i
\(213\) 23.9424 + 3.15208i 1.64051 + 0.215977i
\(214\) 2.00849 + 2.75642i 0.137298 + 0.188425i
\(215\) −0.987470 + 3.68529i −0.0673449 + 0.251335i
\(216\) −3.68041 + 7.29806i −0.250420 + 0.496570i
\(217\) 4.00887 6.47789i 0.272140 0.439748i
\(218\) 0.688505 + 1.78621i 0.0466314 + 0.120978i
\(219\) −21.0121 16.1232i −1.41987 1.08950i
\(220\) 0.955973 + 4.43700i 0.0644517 + 0.299142i
\(221\) 1.95333 + 2.54564i 0.131395 + 0.171238i
\(222\) −22.0132 6.48745i −1.47743 0.435409i
\(223\) 16.6980 1.11818 0.559091 0.829106i \(-0.311150\pi\)
0.559091 + 0.829106i \(0.311150\pi\)
\(224\) −14.8806 + 1.60223i −0.994253 + 0.107054i
\(225\) 13.2388 0.882588
\(226\) −13.1661 3.88014i −0.875796 0.258103i
\(227\) −1.78212 2.32250i −0.118284 0.154150i 0.730459 0.682957i \(-0.239306\pi\)
−0.848742 + 0.528807i \(0.822640\pi\)
\(228\) −26.0953 + 5.62237i −1.72821 + 0.372350i
\(229\) 12.9898 + 9.96740i 0.858388 + 0.658664i 0.941181 0.337903i \(-0.109717\pi\)
−0.0827933 + 0.996567i \(0.526384\pi\)
\(230\) 3.53139 + 9.16162i 0.232853 + 0.604100i
\(231\) −5.70257 10.6137i −0.375201 0.698327i
\(232\) 8.97363 + 27.2323i 0.589148 + 1.78789i
\(233\) 2.69076 10.0420i 0.176277 0.657876i −0.820053 0.572287i \(-0.806056\pi\)
0.996331 0.0855886i \(-0.0272771\pi\)
\(234\) 2.02812 + 2.78334i 0.132582 + 0.181953i
\(235\) −12.7292 1.67584i −0.830364 0.109319i
\(236\) 0.281206 0.331104i 0.0183050 0.0215530i
\(237\) 11.5238 + 4.77331i 0.748551 + 0.310060i
\(238\) 15.0094 13.4331i 0.972916 0.870741i
\(239\) 1.67622i 0.108426i 0.998529 + 0.0542128i \(0.0172649\pi\)
−0.998529 + 0.0542128i \(0.982735\pi\)
\(240\) −12.8710 + 5.81624i −0.830820 + 0.375437i
\(241\) 6.58959 + 3.80450i 0.424473 + 0.245070i 0.696989 0.717082i \(-0.254523\pi\)
−0.272516 + 0.962151i \(0.587856\pi\)
\(242\) 5.95197 9.74301i 0.382607 0.626304i
\(243\) 2.71752 + 20.6416i 0.174329 + 1.32416i
\(244\) −7.39455 3.50189i −0.473387 0.224186i
\(245\) 7.00764 + 6.09229i 0.447702 + 0.389222i
\(246\) −13.1656 5.83985i −0.839407 0.372335i
\(247\) −0.773512 + 2.88679i −0.0492174 + 0.183682i
\(248\) −1.51740 8.00138i −0.0963551 0.508088i
\(249\) 6.79993 + 25.3777i 0.430928 + 1.60824i
\(250\) 12.0272 + 9.71184i 0.760665 + 0.614231i
\(251\) −28.1259 + 11.6501i −1.77529 + 0.735350i −0.781524 + 0.623876i \(0.785557\pi\)
−0.993767 + 0.111474i \(0.964443\pi\)
\(252\) 16.4620 14.0138i 1.03701 0.882789i
\(253\) −3.42659 + 8.27252i −0.215428 + 0.520089i
\(254\) 6.13995 20.8341i 0.385255 1.30725i
\(255\) 9.50447 16.4622i 0.595193 1.03090i
\(256\) −10.5736 + 12.0083i −0.660851 + 0.750517i
\(257\) −7.21889 12.5035i −0.450302 0.779946i 0.548102 0.836411i \(-0.315350\pi\)
−0.998405 + 0.0564650i \(0.982017\pi\)
\(258\) −7.46386 7.84347i −0.464680 0.488313i
\(259\) 12.4901 + 10.2054i 0.776098 + 0.634132i
\(260\) −0.0783826 + 1.57937i −0.00486108 + 0.0979483i
\(261\) −32.8585 25.2132i −2.03389 1.56066i
\(262\) 2.93834 18.7198i 0.181531 1.15651i
\(263\) −3.07789 11.4868i −0.189791 0.708309i −0.993554 0.113360i \(-0.963839\pi\)
0.803763 0.594949i \(-0.202828\pi\)
\(264\) −12.1595 4.24909i −0.748363 0.261513i
\(265\) 6.51325 + 6.51325i 0.400106 + 0.400106i
\(266\) 18.4367 + 3.47435i 1.13043 + 0.213026i
\(267\) −16.9972 41.0350i −1.04021 2.51130i
\(268\) 2.24455 + 27.5436i 0.137108 + 1.68249i
\(269\) 5.35148 4.10634i 0.326286 0.250368i −0.432608 0.901582i \(-0.642407\pi\)
0.758894 + 0.651214i \(0.225740\pi\)
\(270\) 2.82616 4.62625i 0.171994 0.281544i
\(271\) 23.2482 13.4224i 1.41223 0.815351i 0.416631 0.909076i \(-0.363211\pi\)
0.995598 + 0.0937244i \(0.0298773\pi\)
\(272\) 2.13213 21.4277i 0.129279 1.29925i
\(273\) −0.962009 4.08598i −0.0582234 0.247295i
\(274\) −0.272224 + 10.9771i −0.0164457 + 0.663152i
\(275\) 0.723582 + 5.49615i 0.0436337 + 0.331431i
\(276\) −27.4113 5.00185i −1.64997 0.301076i
\(277\) −11.1523 1.46823i −0.670077 0.0882173i −0.212191 0.977228i \(-0.568060\pi\)
−0.457886 + 0.889011i \(0.651393\pi\)
\(278\) −1.93129 + 0.205693i −0.115831 + 0.0123367i
\(279\) 8.31831 + 8.31831i 0.498004 + 0.498004i
\(280\) 9.92342 0.257549i 0.593038 0.0153915i
\(281\) 13.0894 13.0894i 0.780849 0.780849i −0.199125 0.979974i \(-0.563810\pi\)
0.979974 + 0.199125i \(0.0638100\pi\)
\(282\) 22.8903 28.3474i 1.36310 1.68806i
\(283\) −1.17342 + 8.91302i −0.0697526 + 0.529824i 0.920521 + 0.390692i \(0.127764\pi\)
−0.990274 + 0.139131i \(0.955569\pi\)
\(284\) −17.7373 + 3.82159i −1.05251 + 0.226770i
\(285\) 17.5537 2.31099i 1.03979 0.136891i
\(286\) −1.04467 + 0.994108i −0.0617725 + 0.0587828i
\(287\) 6.93557 + 7.37311i 0.409394 + 0.435221i
\(288\) 2.85785 22.9344i 0.168401 1.35142i
\(289\) 5.99042 + 10.3757i 0.352378 + 0.610336i
\(290\) −4.46515 18.4858i −0.262203 1.08552i
\(291\) −15.0513 19.6152i −0.882321 1.14986i
\(292\) 18.9426 + 6.09684i 1.10853 + 0.356791i
\(293\) −7.53848 + 3.12254i −0.440403 + 0.182421i −0.591856 0.806044i \(-0.701605\pi\)
0.151453 + 0.988464i \(0.451605\pi\)
\(294\) −25.1211 + 7.95750i −1.46509 + 0.464091i
\(295\) −0.203734 + 0.203734i −0.0118618 + 0.0118618i
\(296\) 17.2154 0.974000i 1.00062 0.0566126i
\(297\) 4.77539 1.27956i 0.277096 0.0742477i
\(298\) −7.96071 10.9251i −0.461152 0.632875i
\(299\) −1.89909 + 2.47494i −0.109827 + 0.143129i
\(300\) −16.2453 + 5.80350i −0.937925 + 0.335065i
\(301\) 2.69584 + 7.11610i 0.155385 + 0.410165i
\(302\) −0.366268 + 14.7693i −0.0210764 + 0.849878i
\(303\) −34.2680 + 19.7847i −1.96865 + 1.13660i
\(304\) 17.0427 10.5742i 0.977466 0.606470i
\(305\) 4.69965 + 2.71334i 0.269101 + 0.155366i
\(306\) 14.8798 + 27.3149i 0.850623 + 1.56149i
\(307\) −23.7853 9.85221i −1.35750 0.562295i −0.419130 0.907926i \(-0.637665\pi\)
−0.938370 + 0.345631i \(0.887665\pi\)
\(308\) 6.71765 + 6.06831i 0.382774 + 0.345774i
\(309\) 6.60559 + 15.9473i 0.375779 + 0.907211i
\(310\) 0.572063 + 5.37120i 0.0324910 + 0.305064i
\(311\) −23.0690 + 6.18132i −1.30812 + 0.350510i −0.844516 0.535531i \(-0.820112\pi\)
−0.463607 + 0.886041i \(0.653445\pi\)
\(312\) −3.70883 2.52637i −0.209971 0.143028i
\(313\) −12.7761 3.42336i −0.722151 0.193500i −0.121020 0.992650i \(-0.538616\pi\)
−0.601131 + 0.799150i \(0.705283\pi\)
\(314\) 18.4657 7.11768i 1.04208 0.401674i
\(315\) −11.6374 + 8.37728i −0.655694 + 0.472006i
\(316\) −9.36024 0.464540i −0.526555 0.0261324i
\(317\) 29.9430 3.94206i 1.68176 0.221408i 0.771732 0.635948i \(-0.219391\pi\)
0.910031 + 0.414539i \(0.136057\pi\)
\(318\) −25.4091 + 6.13744i −1.42487 + 0.344171i
\(319\) 8.67146 15.0194i 0.485508 0.840925i
\(320\) 7.63678 7.36867i 0.426909 0.411921i
\(321\) 6.41947 0.358300
\(322\) 16.3919 + 10.7152i 0.913485 + 0.597132i
\(323\) −10.3298 + 24.9384i −0.574766 + 1.38761i
\(324\) −4.16707 8.12261i −0.231504 0.451256i
\(325\) −0.252094 + 1.91485i −0.0139837 + 0.106217i
\(326\) −4.39640 + 28.0089i −0.243494 + 1.55127i
\(327\) 3.48041 + 0.932574i 0.192467 + 0.0515715i
\(328\) 10.7915 + 0.804182i 0.595860 + 0.0444035i
\(329\) −22.5578 + 12.1200i −1.24365 + 0.668197i
\(330\) 7.80933 + 3.46398i 0.429890 + 0.190686i
\(331\) −9.77869 + 12.7438i −0.537485 + 0.700464i −0.980604 0.195998i \(-0.937205\pi\)
0.443119 + 0.896463i \(0.353872\pi\)
\(332\) −11.2260 16.2373i −0.616104 0.891136i
\(333\) −19.7601 + 15.1625i −1.08285 + 0.830899i
\(334\) −5.75396 10.5625i −0.314843 0.577957i
\(335\) 18.3291i 1.00143i
\(336\) −14.0572 + 24.4128i −0.766883 + 1.33183i
\(337\) 12.3378i 0.672081i 0.941848 + 0.336041i \(0.109088\pi\)
−0.941848 + 0.336041i \(0.890912\pi\)
\(338\) 15.7035 8.55449i 0.854157 0.465303i
\(339\) −20.4966 + 15.7276i −1.11323 + 0.854208i
\(340\) −2.56382 + 14.0503i −0.139043 + 0.761986i
\(341\) −2.99874 + 3.90803i −0.162391 + 0.211632i
\(342\) −11.7471 + 26.4830i −0.635208 + 1.43204i
\(343\) 18.4424 + 1.69608i 0.995798 + 0.0915794i
\(344\) 7.26366 + 3.66306i 0.391630 + 0.197499i
\(345\) 17.8513 + 4.78324i 0.961082 + 0.257521i
\(346\) 7.93335 + 1.24525i 0.426499 + 0.0669452i
\(347\) 0.350030 2.65874i 0.0187906 0.142729i −0.979478 0.201552i \(-0.935402\pi\)
0.998268 + 0.0588232i \(0.0187348\pi\)
\(348\) 51.3733 + 16.5349i 2.75390 + 0.886366i
\(349\) −7.04548 + 17.0093i −0.377136 + 0.910487i 0.615364 + 0.788243i \(0.289009\pi\)
−0.992500 + 0.122244i \(0.960991\pi\)
\(350\) 12.1057 + 0.670899i 0.647076 + 0.0358611i
\(351\) 1.72242 0.0919362
\(352\) 9.67751 0.0670535i 0.515813 0.00357396i
\(353\) −7.72069 + 13.3726i −0.410931 + 0.711753i −0.994992 0.0999565i \(-0.968130\pi\)
0.584061 + 0.811710i \(0.301463\pi\)
\(354\) −0.191978 0.794794i −0.0102035 0.0422428i
\(355\) 11.9314 1.57080i 0.633255 0.0833696i
\(356\) 22.3988 + 24.7381i 1.18713 + 1.31112i
\(357\) −3.79749 37.7228i −0.200985 1.99650i
\(358\) 2.70923 + 7.02865i 0.143187 + 0.371476i
\(359\) 0.280573 + 0.0751793i 0.0148081 + 0.00396781i 0.266215 0.963914i \(-0.414227\pi\)
−0.251407 + 0.967881i \(0.580893\pi\)
\(360\) −3.12474 + 15.0072i −0.164688 + 0.790951i
\(361\) −5.93239 + 1.58958i −0.312231 + 0.0836621i
\(362\) −0.612354 + 0.0652190i −0.0321846 + 0.00342784i
\(363\) −8.22380 19.8540i −0.431638 1.04207i
\(364\) 1.71348 + 2.64789i 0.0898105 + 0.138787i
\(365\) −12.1939 5.05089i −0.638259 0.264376i
\(366\) −13.5237 + 7.36707i −0.706896 + 0.385083i
\(367\) 21.4497 + 12.3840i 1.11966 + 0.646438i 0.941315 0.337530i \(-0.109591\pi\)
0.178348 + 0.983968i \(0.442925\pi\)
\(368\) 20.6593 3.38960i 1.07694 0.176695i
\(369\) −13.5371 + 7.81567i −0.704715 + 0.406868i
\(370\) −11.4330 0.283530i −0.594374 0.0147400i
\(371\) 18.1327 + 2.95358i 0.941401 + 0.153342i
\(372\) −13.8539 6.56090i −0.718291 0.340167i
\(373\) −1.37170 + 1.78763i −0.0710240 + 0.0925602i −0.827514 0.561445i \(-0.810246\pi\)
0.756490 + 0.654005i \(0.226912\pi\)
\(374\) −10.5266 + 7.67035i −0.544319 + 0.396624i
\(375\) 28.1055 7.53085i 1.45136 0.388892i
\(376\) −9.03084 + 25.8432i −0.465730 + 1.33276i
\(377\) 4.27250 4.27250i 0.220045 0.220045i
\(378\) −0.815966 10.7818i −0.0419688 0.554555i
\(379\) 11.1490 4.61806i 0.572685 0.237214i −0.0774966 0.996993i \(-0.524693\pi\)
0.650182 + 0.759779i \(0.274693\pi\)
\(380\) −11.8360 + 6.07214i −0.607176 + 0.311494i
\(381\) −24.8875 32.4340i −1.27502 1.66164i
\(382\) 6.15530 1.48678i 0.314932 0.0760703i
\(383\) −14.4746 25.0707i −0.739616 1.28105i −0.952668 0.304012i \(-0.901674\pi\)
0.213052 0.977041i \(-0.431660\pi\)
\(384\) 6.54686 + 29.3955i 0.334093 + 1.50008i
\(385\) −4.11392 4.37346i −0.209665 0.222892i
\(386\) −22.1061 23.2304i −1.12517 1.18240i
\(387\) −11.6504 + 1.53380i −0.592223 + 0.0779676i
\(388\) 15.6077 + 10.0743i 0.792359 + 0.511448i
\(389\) −0.794882 + 6.03773i −0.0403021 + 0.306125i 0.959407 + 0.282024i \(0.0910057\pi\)
−0.999710 + 0.0241012i \(0.992328\pi\)
\(390\) 2.31569 + 1.86990i 0.117260 + 0.0946862i
\(391\) −19.9234 + 19.9234i −1.00757 + 1.00757i
\(392\) 15.7631 11.9801i 0.796158 0.605088i
\(393\) −25.2200 25.2200i −1.27218 1.27218i
\(394\) −1.47071 13.8088i −0.0740934 0.695677i
\(395\) 6.16274 + 0.811340i 0.310081 + 0.0408229i
\(396\) −11.4988 + 7.94989i −0.577834 + 0.399497i
\(397\) 2.87380 + 21.8287i 0.144232 + 1.09555i 0.898497 + 0.438980i \(0.144660\pi\)
−0.754265 + 0.656570i \(0.772006\pi\)
\(398\) −5.54477 0.137506i −0.277934 0.00689256i
\(399\) 25.7216 24.1952i 1.28769 1.21128i
\(400\) 10.0275 8.21257i 0.501376 0.410629i
\(401\) 24.3241 14.0435i 1.21469 0.701300i 0.250911 0.968010i \(-0.419270\pi\)
0.963777 + 0.266710i \(0.0859366\pi\)
\(402\) 44.3880 + 27.1165i 2.21387 + 1.35245i
\(403\) −1.36155 + 1.04475i −0.0678236 + 0.0520429i
\(404\) 19.2456 22.6605i 0.957503 1.12740i
\(405\) 2.31715 + 5.59409i 0.115140 + 0.277972i
\(406\) −28.7684 24.7203i −1.42775 1.22685i
\(407\) −7.37478 7.37478i −0.365555 0.365555i
\(408\) −30.2330 26.9952i −1.49676 1.33646i
\(409\) −4.34197 16.2044i −0.214697 0.801258i −0.986273 0.165122i \(-0.947198\pi\)
0.771577 0.636136i \(-0.219468\pi\)
\(410\) −7.09058 1.11297i −0.350179 0.0549656i
\(411\) 16.3969 + 12.5818i 0.808800 + 0.620614i
\(412\) −8.70477 9.61390i −0.428853 0.473643i
\(413\) −0.0923875 + 0.567188i −0.00454609 + 0.0279095i
\(414\) −21.9072 + 20.8469i −1.07668 + 1.02457i
\(415\) 6.54640 + 11.3387i 0.321350 + 0.556595i
\(416\) 3.26278 + 0.850074i 0.159971 + 0.0416783i
\(417\) −1.82785 + 3.16593i −0.0895103 + 0.155036i
\(418\) −11.6366 3.42938i −0.569164 0.167737i
\(419\) 9.28172 22.4081i 0.453442 1.09471i −0.517563 0.855645i \(-0.673161\pi\)
0.971005 0.239060i \(-0.0768393\pi\)
\(420\) 10.6079 15.3812i 0.517613 0.750528i
\(421\) 12.3542 5.11727i 0.602106 0.249400i −0.0607433 0.998153i \(-0.519347\pi\)
0.662849 + 0.748753i \(0.269347\pi\)
\(422\) −19.9430 + 24.6975i −0.970811 + 1.20225i
\(423\) −10.2347 38.1964i −0.497627 1.85717i
\(424\) 16.4270 10.7652i 0.797764 0.522802i
\(425\) −4.51485 + 16.8496i −0.219002 + 0.817328i
\(426\) −13.8476 + 31.2185i −0.670917 + 1.51254i
\(427\) 10.7691 1.08411i 0.521155 0.0524638i
\(428\) −4.54212 + 1.62263i −0.219552 + 0.0784327i
\(429\) 0.354290 + 2.69110i 0.0171053 + 0.129928i
\(430\) −4.60444 2.81283i −0.222046 0.135647i
\(431\) −8.96739 5.17733i −0.431944 0.249383i 0.268230 0.963355i \(-0.413561\pi\)
−0.700175 + 0.713972i \(0.746894\pi\)
\(432\) −8.42869 7.91020i −0.405526 0.380580i
\(433\) 18.5114i 0.889599i −0.895630 0.444800i \(-0.853275\pi\)
0.895630 0.444800i \(-0.146725\pi\)
\(434\) 7.18479 + 8.02788i 0.344881 + 0.385351i
\(435\) −33.0705 13.6983i −1.58561 0.656781i
\(436\) −2.69830 + 0.219887i −0.129225 + 0.0105307i
\(437\) −26.0189 3.42546i −1.24465 0.163862i
\(438\) 30.2718 22.0579i 1.44644 1.05397i
\(439\) 5.08206 18.9665i 0.242554 0.905222i −0.732044 0.681258i \(-0.761433\pi\)
0.974597 0.223965i \(-0.0719000\pi\)
\(440\) −6.40110 0.477011i −0.305161 0.0227406i
\(441\) −9.07611 + 27.1210i −0.432196 + 1.29147i
\(442\) −4.23414 + 1.63207i −0.201397 + 0.0776295i
\(443\) 23.7835 + 18.2498i 1.12999 + 0.867072i 0.992356 0.123411i \(-0.0393834\pi\)
0.137635 + 0.990483i \(0.456050\pi\)
\(444\) 17.6009 27.2681i 0.835300 1.29409i
\(445\) −13.4744 17.5602i −0.638749 0.832434i
\(446\) −6.67552 + 22.6514i −0.316095 + 1.07257i
\(447\) −25.4437 −1.20345
\(448\) 3.77548 20.8266i 0.178375 0.983963i
\(449\) 27.2364 1.28536 0.642682 0.766133i \(-0.277822\pi\)
0.642682 + 0.766133i \(0.277822\pi\)
\(450\) −5.29260 + 17.9589i −0.249496 + 0.846589i
\(451\) −3.98460 5.19283i −0.187627 0.244521i
\(452\) 10.5271 16.3090i 0.495151 0.767112i
\(453\) 22.0615 + 16.9284i 1.03654 + 0.795363i
\(454\) 3.86300 1.48901i 0.181300 0.0698829i
\(455\) −0.990080 1.84274i −0.0464156 0.0863891i
\(456\) 2.80544 37.6468i 0.131377 1.76297i
\(457\) −4.47114 + 16.6865i −0.209151 + 0.780562i 0.778993 + 0.627032i \(0.215731\pi\)
−0.988144 + 0.153529i \(0.950936\pi\)
\(458\) −18.7141 + 13.6363i −0.874453 + 0.637181i
\(459\) 15.4238 + 2.03058i 0.719920 + 0.0947792i
\(460\) −13.8398 + 1.12782i −0.645284 + 0.0525848i
\(461\) 8.36744 + 3.46591i 0.389711 + 0.161423i 0.568931 0.822386i \(-0.307357\pi\)
−0.179220 + 0.983809i \(0.557357\pi\)
\(462\) 16.6775 3.49259i 0.775908 0.162490i
\(463\) 11.8044i 0.548599i 0.961644 + 0.274299i \(0.0884459\pi\)
−0.961644 + 0.274299i \(0.911554\pi\)
\(464\) −40.5289 + 1.28613i −1.88151 + 0.0597069i
\(465\) 8.80492 + 5.08352i 0.408319 + 0.235743i
\(466\) 12.5466 + 7.66469i 0.581211 + 0.355060i
\(467\) 1.79383 + 13.6255i 0.0830086 + 0.630513i 0.981492 + 0.191505i \(0.0613368\pi\)
−0.898483 + 0.439008i \(0.855330\pi\)
\(468\) −4.58649 + 1.63848i −0.212010 + 0.0757388i
\(469\) −21.3580 29.6697i −0.986219 1.37002i
\(470\) 7.36220 16.5976i 0.339593 0.765592i
\(471\) 9.64083 35.9801i 0.444226 1.65787i
\(472\) 0.336733 + 0.513834i 0.0154994 + 0.0236511i
\(473\) −1.27353 4.75288i −0.0585570 0.218538i
\(474\) −11.0821 + 13.7241i −0.509019 + 0.630370i
\(475\) −15.0108 + 6.21768i −0.688743 + 0.285287i
\(476\) 12.2220 + 25.7310i 0.560195 + 1.17938i
\(477\) −10.8567 + 26.2103i −0.497093 + 1.20009i
\(478\) −2.27384 0.670117i −0.104003 0.0306504i
\(479\) 0.255055 0.441769i 0.0116538 0.0201849i −0.860140 0.510059i \(-0.829624\pi\)
0.871793 + 0.489874i \(0.162957\pi\)
\(480\) −2.74435 19.7851i −0.125262 0.903064i
\(481\) −1.81681 3.14681i −0.0828394 0.143482i
\(482\) −7.79531 + 7.41803i −0.355067 + 0.337882i
\(483\) 34.4699 13.0585i 1.56844 0.594180i
\(484\) 10.8372 + 11.9691i 0.492601 + 0.544049i
\(485\) −9.77502 7.50063i −0.443861 0.340586i
\(486\) −29.0874 4.56568i −1.31943 0.207104i
\(487\) 6.03562 + 22.5252i 0.273500 + 1.02072i 0.956840 + 0.290615i \(0.0938600\pi\)
−0.683340 + 0.730100i \(0.739473\pi\)
\(488\) 7.70661 8.63095i 0.348862 0.390705i
\(489\) 37.7347 + 37.7347i 1.70642 + 1.70642i
\(490\) −11.0659 + 7.07051i −0.499906 + 0.319413i
\(491\) 0.893235 + 2.15646i 0.0403111 + 0.0973197i 0.942753 0.333492i \(-0.108227\pi\)
−0.902442 + 0.430812i \(0.858227\pi\)
\(492\) 13.1853 15.5249i 0.594437 0.699915i
\(493\) 43.2958 33.2220i 1.94994 1.49624i
\(494\) −3.60678 2.20337i −0.162277 0.0991343i
\(495\) 8.02973 4.63597i 0.360910 0.208371i
\(496\) 11.4608 + 1.14038i 0.514603 + 0.0512047i
\(497\) 17.4833 16.4458i 0.784232 0.737693i
\(498\) −37.1441 0.921146i −1.66447 0.0412775i
\(499\) −4.22841 32.1180i −0.189290 1.43780i −0.777394 0.629014i \(-0.783459\pi\)
0.588104 0.808785i \(-0.299874\pi\)
\(500\) −17.9826 + 12.4326i −0.804207 + 0.556004i
\(501\) −22.4460 2.95508i −1.00281 0.132023i
\(502\) −4.55962 42.8111i −0.203506 1.91075i
\(503\) −18.0124 18.0124i −0.803132 0.803132i 0.180452 0.983584i \(-0.442244\pi\)
−0.983584 + 0.180452i \(0.942244\pi\)
\(504\) 12.4291 + 27.9336i 0.553635 + 1.24426i
\(505\) −13.9434 + 13.9434i −0.620472 + 0.620472i
\(506\) −9.85205 7.95546i −0.437977 0.353663i
\(507\) 4.39336 33.3709i 0.195116 1.48205i
\(508\) 25.8075 + 16.6581i 1.14502 + 0.739082i
\(509\) −29.1195 + 3.83365i −1.29070 + 0.169924i −0.744437 0.667692i \(-0.767282\pi\)
−0.546260 + 0.837616i \(0.683949\pi\)
\(510\) 18.5318 + 19.4744i 0.820604 + 0.862339i
\(511\) −25.6241 + 6.03296i −1.13354 + 0.266883i
\(512\) −12.0625 19.1441i −0.533091 0.846058i
\(513\) 7.24492 + 12.5486i 0.319871 + 0.554033i
\(514\) 19.8473 4.79402i 0.875428 0.211455i
\(515\) 5.23653 + 6.82438i 0.230749 + 0.300718i
\(516\) 13.6238 6.98931i 0.599755 0.307687i
\(517\) 15.2980 6.33664i 0.672805 0.278685i
\(518\) −18.8372 + 12.8633i −0.827660 + 0.565182i
\(519\) 10.6881 10.6881i 0.469156 0.469156i
\(520\) −2.11113 0.737727i −0.0925790 0.0323514i
\(521\) 15.4615 4.14291i 0.677382 0.181504i 0.0963044 0.995352i \(-0.469298\pi\)
0.581078 + 0.813848i \(0.302631\pi\)
\(522\) 47.3387 34.4939i 2.07196 1.50976i
\(523\) −13.0166 + 16.9636i −0.569176 + 0.741764i −0.985912 0.167263i \(-0.946507\pi\)
0.416737 + 0.909027i \(0.363174\pi\)
\(524\) 24.2193 + 11.4697i 1.05803 + 0.501057i
\(525\) 14.4393 17.6718i 0.630181 0.771262i
\(526\) 16.8127 + 0.416944i 0.733070 + 0.0181796i
\(527\) −13.4239 + 7.75029i −0.584754 + 0.337608i
\(528\) 10.6251 14.7960i 0.462399 0.643913i
\(529\) −3.80487 2.19674i −0.165429 0.0955106i
\(530\) −11.4393 + 6.23156i −0.496891 + 0.270682i
\(531\) −0.819855 0.339595i −0.0355787 0.0147372i
\(532\) −12.0837 + 23.6210i −0.523894 + 1.02410i
\(533\) −0.872674 2.10682i −0.0377997 0.0912566i
\(534\) 62.4603 6.65237i 2.70292 0.287876i
\(535\) 3.09006 0.827980i 0.133595 0.0357967i
\(536\) −38.2611 7.96654i −1.65263 0.344102i
\(537\) 13.6952 + 3.66962i 0.590993 + 0.158356i
\(538\) 3.43096 + 8.90108i 0.147919 + 0.383753i
\(539\) −11.7554 2.28566i −0.506343 0.0984505i
\(540\) 5.14581 + 5.68325i 0.221440 + 0.244568i
\(541\) −4.12687 + 0.543312i −0.177428 + 0.0233588i −0.218717 0.975788i \(-0.570187\pi\)
0.0412887 + 0.999147i \(0.486854\pi\)
\(542\) 8.91371 + 36.9029i 0.382877 + 1.58512i
\(543\) −0.579556 + 1.00382i −0.0248711 + 0.0430781i
\(544\) 28.2150 + 11.4587i 1.20971 + 0.491286i
\(545\) 1.79561 0.0769154
\(546\) 5.92736 + 0.328495i 0.253667 + 0.0140583i
\(547\) −13.2421 + 31.9692i −0.566190 + 1.36690i 0.338554 + 0.940947i \(0.390062\pi\)
−0.904744 + 0.425956i \(0.859938\pi\)
\(548\) −14.7820 4.75770i −0.631454 0.203239i
\(549\) −2.18161 + 16.5710i −0.0931088 + 0.707231i
\(550\) −7.74498 1.21568i −0.330247 0.0518370i
\(551\) 49.0980 + 13.1558i 2.09165 + 0.560455i
\(552\) 17.7436 35.1847i 0.755219 1.49756i
\(553\) 10.9212 5.86778i 0.464415 0.249523i
\(554\) 6.45015 14.5415i 0.274041 0.617808i
\(555\) −13.1043 + 17.0779i −0.556248 + 0.724917i
\(556\) 0.493060 2.70209i 0.0209104 0.114594i
\(557\) −0.576651 + 0.442480i −0.0244335 + 0.0187485i −0.620906 0.783885i \(-0.713235\pi\)
0.596473 + 0.802634i \(0.296568\pi\)
\(558\) −14.6095 + 7.95857i −0.618471 + 0.336913i
\(559\) 1.71431i 0.0725074i
\(560\) −3.61780 + 13.5644i −0.152880 + 0.573200i
\(561\) 24.5156i 1.03505i
\(562\) 12.5233 + 22.9891i 0.528265 + 0.969735i
\(563\) 8.72655 6.69612i 0.367780 0.282208i −0.408292 0.912851i \(-0.633876\pi\)
0.776073 + 0.630644i \(0.217209\pi\)
\(564\) 29.3031 + 42.3841i 1.23388 + 1.78469i
\(565\) −7.83769 + 10.2143i −0.329734 + 0.429718i
\(566\) −11.6217 5.15502i −0.488496 0.216682i
\(567\) 10.2693 + 6.35521i 0.431270 + 0.266894i
\(568\) 1.90689 25.5890i 0.0800115 1.07369i
\(569\) −4.48148 1.20081i −0.187873 0.0503405i 0.163656 0.986518i \(-0.447671\pi\)
−0.351529 + 0.936177i \(0.614338\pi\)
\(570\) −3.88267 + 24.7360i −0.162627 + 1.03608i
\(571\) 3.02103 22.9470i 0.126426 0.960301i −0.804207 0.594349i \(-0.797410\pi\)
0.930633 0.365953i \(-0.119257\pi\)
\(572\) −0.930902 1.81455i −0.0389230 0.0758700i
\(573\) 4.56117 11.0116i 0.190546 0.460018i
\(574\) −12.7745 + 6.46070i −0.533199 + 0.269664i
\(575\) −16.9596 −0.707263
\(576\) 29.9687 + 13.0454i 1.24870 + 0.543560i
\(577\) 0.147694 0.255814i 0.00614858 0.0106497i −0.862935 0.505315i \(-0.831376\pi\)
0.869083 + 0.494666i \(0.164709\pi\)
\(578\) −16.4698 + 3.97820i −0.685054 + 0.165471i
\(579\) −59.8423 + 7.87839i −2.48696 + 0.327415i
\(580\) 26.8616 + 1.33312i 1.11537 + 0.0553548i
\(581\) 23.8092 + 10.7260i 0.987771 + 0.444989i
\(582\) 32.6258 12.5758i 1.35238 0.521283i
\(583\) −11.4747 3.07464i −0.475234 0.127339i
\(584\) −15.8434 + 23.2589i −0.655605 + 0.962459i
\(585\) 3.12025 0.836068i 0.129006 0.0345672i
\(586\) −1.22210 11.4745i −0.0504844 0.474008i
\(587\) 3.80781 + 9.19287i 0.157165 + 0.379430i 0.982774 0.184813i \(-0.0591680\pi\)
−0.825608 + 0.564243i \(0.809168\pi\)
\(588\) −0.751711 37.2588i −0.0310000 1.53653i
\(589\) −13.3384 5.52496i −0.549601 0.227652i
\(590\) −0.194923 0.357819i −0.00802483 0.0147312i
\(591\) −22.6365 13.0692i −0.931142 0.537595i
\(592\) −5.56108 + 23.7426i −0.228559 + 0.975814i
\(593\) −1.47253 + 0.850168i −0.0604698 + 0.0349122i −0.529930 0.848041i \(-0.677782\pi\)
0.469460 + 0.882954i \(0.344448\pi\)
\(594\) −0.173335 + 6.98951i −0.00711201 + 0.286783i
\(595\) −6.69342 17.6684i −0.274404 0.724333i
\(596\) 18.0028 6.43133i 0.737423 0.263437i
\(597\) −6.35532 + 8.28242i −0.260106 + 0.338977i
\(598\) −2.59812 3.56560i −0.106245 0.145808i
\(599\) −5.37460 + 1.44012i −0.219600 + 0.0588417i −0.366942 0.930244i \(-0.619595\pi\)
0.147341 + 0.989086i \(0.452928\pi\)
\(600\) −1.37808 24.3574i −0.0562598 0.994388i
\(601\) −22.0815 + 22.0815i −0.900723 + 0.900723i −0.995499 0.0947758i \(-0.969787\pi\)
0.0947758 + 0.995499i \(0.469787\pi\)
\(602\) −10.7309 + 0.812120i −0.437361 + 0.0330995i
\(603\) 52.1556 21.6036i 2.12394 0.879765i
\(604\) −19.8886 6.40131i −0.809256 0.260466i
\(605\) −6.51936 8.49619i −0.265050 0.345419i
\(606\) −13.1389 54.3951i −0.533730 2.20965i
\(607\) −8.55391 14.8158i −0.347193 0.601355i 0.638557 0.769575i \(-0.279532\pi\)
−0.985750 + 0.168219i \(0.946198\pi\)
\(608\) 7.53087 + 27.3463i 0.305417 + 1.10904i
\(609\) −69.4938 + 16.3617i −2.81603 + 0.663010i
\(610\) −5.55956 + 5.29048i −0.225100 + 0.214205i
\(611\) 5.71956 0.752995i 0.231389 0.0304629i
\(612\) −43.0021 + 9.26503i −1.73826 + 0.374517i
\(613\) −4.23641 + 32.1788i −0.171107 + 1.29969i 0.663223 + 0.748422i \(0.269188\pi\)
−0.834330 + 0.551266i \(0.814145\pi\)
\(614\) 22.8737 28.3268i 0.923107 1.14318i
\(615\) −9.55270 + 9.55270i −0.385202 + 0.385202i
\(616\) −10.9174 + 6.68672i −0.439876 + 0.269416i
\(617\) 31.1039 + 31.1039i 1.25220 + 1.25220i 0.954733 + 0.297465i \(0.0961411\pi\)
0.297465 + 0.954733i \(0.403859\pi\)
\(618\) −24.2738 + 2.58529i −0.976435 + 0.103996i
\(619\) 8.98941 + 1.18348i 0.361315 + 0.0475680i 0.308998 0.951063i \(-0.400006\pi\)
0.0523164 + 0.998631i \(0.483340\pi\)
\(620\) −7.51491 1.37127i −0.301806 0.0550717i
\(621\) 1.97418 + 14.9954i 0.0792213 + 0.601745i
\(622\) 0.837347 33.7650i 0.0335745 1.35385i
\(623\) −42.2733 12.7240i −1.69365 0.509778i
\(624\) 4.90981 4.02115i 0.196550 0.160975i
\(625\) −1.47361 + 0.850790i −0.0589444 + 0.0340316i
\(626\) 9.75153 15.9627i 0.389749 0.637996i
\(627\) −18.1155 + 13.9005i −0.723465 + 0.555134i
\(628\) 2.27317 + 27.8947i 0.0907093 + 1.11312i
\(629\) −12.5592 30.3205i −0.500767 1.20896i
\(630\) −6.71165 19.1356i −0.267399 0.762380i
\(631\) 34.6058 + 34.6058i 1.37763 + 1.37763i 0.848600 + 0.529034i \(0.177446\pi\)
0.529034 + 0.848600i \(0.322554\pi\)
\(632\) 4.37219 12.5118i 0.173916 0.497691i
\(633\) 15.4644 + 57.7140i 0.614655 + 2.29392i
\(634\) −6.62303 + 42.1945i −0.263034 + 1.67576i
\(635\) −16.1631 12.4024i −0.641414 0.492174i
\(636\) 1.83240 36.9219i 0.0726593 1.46405i
\(637\) −3.74991 1.82920i −0.148577 0.0724754i
\(638\) 16.9076 + 17.7675i 0.669379 + 0.703424i
\(639\) 18.5327 + 32.0996i 0.733142 + 1.26984i
\(640\) 6.94281 + 13.3054i 0.274439 + 0.525941i
\(641\) 16.1845 28.0324i 0.639250 1.10721i −0.346347 0.938106i \(-0.612578\pi\)
0.985598 0.169108i \(-0.0540886\pi\)
\(642\) −2.56637 + 8.70820i −0.101286 + 0.343685i
\(643\) 1.89126 4.56590i 0.0745839 0.180061i −0.882190 0.470893i \(-0.843932\pi\)
0.956774 + 0.290831i \(0.0939319\pi\)
\(644\) −21.0886 + 17.9524i −0.831006 + 0.707425i
\(645\) −9.38279 + 3.88648i −0.369447 + 0.153030i
\(646\) −29.7000 23.9825i −1.16853 0.943580i
\(647\) 7.18841 + 26.8275i 0.282606 + 1.05470i 0.950571 + 0.310507i \(0.100499\pi\)
−0.667965 + 0.744192i \(0.732835\pi\)
\(648\) 12.6845 2.40552i 0.498294 0.0944976i
\(649\) 0.0961743 0.358927i 0.00377517 0.0140891i
\(650\) −2.49677 1.10749i −0.0979313 0.0434393i
\(651\) 20.1763 2.03111i 0.790770 0.0796056i
\(652\) −36.2374 17.1612i −1.41917 0.672086i
\(653\) −3.36747 25.5785i −0.131779 1.00096i −0.921741 0.387807i \(-0.873233\pi\)
0.789961 0.613157i \(-0.210101\pi\)
\(654\) −2.65646 + 4.34847i −0.103876 + 0.170038i
\(655\) −15.3927 8.88699i −0.601444 0.347244i
\(656\) −5.40510 + 14.3175i −0.211034 + 0.559004i
\(657\) 40.6511i 1.58595i
\(658\) −7.42302 35.4457i −0.289379 1.38182i
\(659\) −10.6410 4.40765i −0.414515 0.171698i 0.165672 0.986181i \(-0.447021\pi\)
−0.580187 + 0.814483i \(0.697021\pi\)
\(660\) −7.82100 + 9.20878i −0.304432 + 0.358451i
\(661\) 41.8739 + 5.51280i 1.62870 + 0.214423i 0.888802 0.458291i \(-0.151538\pi\)
0.739902 + 0.672714i \(0.234872\pi\)
\(662\) −13.3781 18.3598i −0.519954 0.713574i
\(663\) −2.21062 + 8.25016i −0.0858535 + 0.320410i
\(664\) 26.5143 8.73703i 1.02895 0.339063i
\(665\) 9.26062 14.9641i 0.359112 0.580284i
\(666\) −12.6687 32.8669i −0.490902 1.27357i
\(667\) 42.0934 + 32.2994i 1.62986 + 1.25064i
\(668\) 16.6287 3.58274i 0.643385 0.138620i
\(669\) 27.0583 + 35.2631i 1.04614 + 1.36335i
\(670\) 24.8640 + 7.32759i 0.960581 + 0.283090i
\(671\) −6.99874 −0.270183
\(672\) −27.4969 28.8288i −1.06072 1.11209i
\(673\) 44.7537 1.72513 0.862563 0.505949i \(-0.168858\pi\)
0.862563 + 0.505949i \(0.168858\pi\)
\(674\) −16.7366 4.93238i −0.644669 0.189988i
\(675\) 5.70039 + 7.42890i 0.219408 + 0.285938i
\(676\) 5.32652 + 24.7222i 0.204866 + 0.950853i
\(677\) −5.59437 4.29271i −0.215009 0.164982i 0.495642 0.868527i \(-0.334933\pi\)
−0.710651 + 0.703545i \(0.751599\pi\)
\(678\) −13.1409 34.0919i −0.504673 1.30929i
\(679\) −24.5631 0.751111i −0.942646 0.0288250i
\(680\) −18.0348 9.09492i −0.691601 0.348774i
\(681\) 2.01686 7.52701i 0.0772861 0.288436i
\(682\) −4.10253 5.63023i −0.157094 0.215593i
\(683\) −10.4129 1.37088i −0.398437 0.0524552i −0.0713545 0.997451i \(-0.522732\pi\)
−0.327082 + 0.944996i \(0.606065\pi\)
\(684\) −31.2288 26.5226i −1.19406 1.01412i
\(685\) 9.51559 + 3.94148i 0.363572 + 0.150596i
\(686\) −9.67367 + 24.3397i −0.369343 + 0.929293i
\(687\) 43.5836i 1.66282i
\(688\) −7.87291 + 8.38896i −0.300152 + 0.319826i
\(689\) −3.58429 2.06939i −0.136551 0.0788376i
\(690\) −13.6252 + 22.3036i −0.518702 + 0.849084i
\(691\) −3.87592 29.4406i −0.147447 1.11997i −0.891879 0.452273i \(-0.850613\pi\)
0.744432 0.667698i \(-0.232720\pi\)
\(692\) −4.86081 + 10.2640i −0.184780 + 0.390179i
\(693\) 7.59583 16.8610i 0.288542 0.640495i
\(694\) 3.46673 + 1.53774i 0.131595 + 0.0583716i
\(695\) −0.471511 + 1.75970i −0.0178854 + 0.0667493i
\(696\) −42.9681 + 63.0792i −1.62870 + 2.39101i
\(697\) −5.33077 19.8947i −0.201917 0.753566i
\(698\) −20.2570 16.3574i −0.766739 0.619136i
\(699\) 25.5671 10.5903i 0.967038 0.400560i
\(700\) −5.74970 + 16.1535i −0.217318 + 0.610546i
\(701\) 7.49691 18.0991i 0.283154 0.683595i −0.716751 0.697329i \(-0.754372\pi\)
0.999906 + 0.0137337i \(0.00437171\pi\)
\(702\) −0.688589 + 2.33652i −0.0259891 + 0.0881864i
\(703\) 15.2838 26.4724i 0.576441 0.998425i
\(704\) −3.77790 + 13.1546i −0.142385 + 0.495784i
\(705\) −17.0881 29.5974i −0.643574 1.11470i
\(706\) −15.0538 15.8195i −0.566558 0.595373i
\(707\) −6.32294 + 38.8179i −0.237799 + 1.45990i
\(708\) 1.15491 + 0.0573172i 0.0434042 + 0.00215411i
\(709\) 14.8796 + 11.4175i 0.558815 + 0.428794i 0.849166 0.528126i \(-0.177105\pi\)
−0.290350 + 0.956920i \(0.593772\pi\)
\(710\) −2.63909 + 16.8133i −0.0990434 + 0.630993i
\(711\) 4.95502 + 18.4924i 0.185828 + 0.693519i
\(712\) −42.5126 + 20.4948i −1.59323 + 0.768076i
\(713\) −10.6562 10.6562i −0.399077 0.399077i
\(714\) 52.6903 + 9.92936i 1.97189 + 0.371597i
\(715\) 0.517638 + 1.24969i 0.0193586 + 0.0467357i
\(716\) −10.6177 + 0.865244i −0.396801 + 0.0323357i
\(717\) −3.53986 + 2.71623i −0.132198 + 0.101439i
\(718\) −0.214150 + 0.350551i −0.00799202 + 0.0130824i
\(719\) 10.9538 6.32419i 0.408509 0.235853i −0.281640 0.959520i \(-0.590878\pi\)
0.690149 + 0.723667i \(0.257545\pi\)
\(720\) −19.1086 10.2384i −0.712135 0.381562i
\(721\) 16.4286 + 4.94491i 0.611832 + 0.184158i
\(722\) 0.215331 8.68295i 0.00801379 0.323146i
\(723\) 2.64371 + 20.0810i 0.0983208 + 0.746821i
\(724\) 0.156334 0.856750i 0.00581013 0.0318409i
\(725\) 32.5674 + 4.28758i 1.20952 + 0.159237i
\(726\) 30.2203 3.21863i 1.12158 0.119454i
\(727\) −8.10183 8.10183i −0.300480 0.300480i 0.540721 0.841202i \(-0.318151\pi\)
−0.841202 + 0.540721i \(0.818151\pi\)
\(728\) −4.27696 + 1.26581i −0.158515 + 0.0469141i
\(729\) −29.5047 + 29.5047i −1.09277 + 1.09277i
\(730\) 11.7266 14.5222i 0.434019 0.537491i
\(731\) 2.02100 15.3511i 0.0747496 0.567779i
\(732\) −4.58716 21.2906i −0.169546 0.786921i
\(733\) −30.3827 + 3.99996i −1.12221 + 0.147742i −0.668717 0.743517i \(-0.733156\pi\)
−0.453495 + 0.891259i \(0.649823\pi\)
\(734\) −25.3743 + 24.1463i −0.936584 + 0.891255i
\(735\) −1.51024 + 24.6711i −0.0557060 + 0.910007i
\(736\) −3.66105 + 29.3801i −0.134948 + 1.08296i
\(737\) 11.8194 + 20.4719i 0.435374 + 0.754091i
\(738\) −5.19034 21.4881i −0.191059 0.790988i
\(739\) 10.2948 + 13.4165i 0.378702 + 0.493534i 0.943351 0.331797i \(-0.107655\pi\)
−0.564649 + 0.825331i \(0.690988\pi\)
\(740\) 4.95529 15.3959i 0.182160 0.565964i
\(741\) −7.34980 + 3.04438i −0.270001 + 0.111838i
\(742\) −11.2557 + 23.4168i −0.413209 + 0.859656i
\(743\) −0.628600 + 0.628600i −0.0230611 + 0.0230611i −0.718543 0.695482i \(-0.755191\pi\)
0.695482 + 0.718543i \(0.255191\pi\)
\(744\) 14.4386 16.1703i 0.529343 0.592833i
\(745\) −12.2475 + 3.28172i −0.448715 + 0.120233i
\(746\) −1.87661 2.57541i −0.0687074 0.0942926i
\(747\) −24.5484 + 31.9922i −0.898181 + 1.17053i
\(748\) −6.19675 17.3461i −0.226575 0.634238i
\(749\) 4.03714 4.94096i 0.147514 0.180539i
\(750\) −1.02016 + 41.1367i −0.0372510 + 1.50210i
\(751\) −8.64463 + 4.99098i −0.315447 + 0.182124i −0.649361 0.760480i \(-0.724964\pi\)
0.333914 + 0.942603i \(0.391630\pi\)
\(752\) −31.4468 22.5822i −1.14675 0.823488i
\(753\) −70.1795 40.5182i −2.55748 1.47656i
\(754\) 4.08773 + 7.50384i 0.148866 + 0.273274i
\(755\) 12.8029 + 5.30313i 0.465944 + 0.193001i
\(756\) 14.9520 + 3.20344i 0.543800 + 0.116508i
\(757\) −6.50215 15.6976i −0.236325 0.570539i 0.760572 0.649253i \(-0.224918\pi\)
−0.996897 + 0.0787146i \(0.974918\pi\)
\(758\) 1.80742 + 16.9702i 0.0656483 + 0.616384i
\(759\) −23.0226 + 6.16890i −0.835669 + 0.223917i
\(760\) −3.50525 18.4835i −0.127149 0.670465i
\(761\) −0.398743 0.106843i −0.0144544 0.00387305i 0.251585 0.967835i \(-0.419048\pi\)
−0.266039 + 0.963962i \(0.585715\pi\)
\(762\) 53.9472 20.7942i 1.95430 0.753295i
\(763\) 2.90659 2.09233i 0.105226 0.0757474i
\(764\) −0.443894 + 8.94424i −0.0160595 + 0.323591i
\(765\) 28.9265 3.80824i 1.04584 0.137687i
\(766\) 39.7958 9.61248i 1.43788 0.347313i
\(767\) 0.0647303 0.112116i 0.00233728 0.00404828i
\(768\) −42.4933 2.87069i −1.53334 0.103587i
\(769\) 4.31950 0.155765 0.0778826 0.996963i \(-0.475184\pi\)
0.0778826 + 0.996963i \(0.475184\pi\)
\(770\) 7.57739 3.83225i 0.273070 0.138105i
\(771\) 14.7072