Properties

Label 930.2.br.b.11.12
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.12
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.71718 - 0.226496i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.70312 + 0.315227i) q^{6} +(0.394896 + 3.75719i) q^{7} +(0.587785 - 0.809017i) q^{8} +(2.89740 + 0.777866i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.71718 - 0.226496i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.70312 + 0.315227i) q^{6} +(0.394896 + 3.75719i) q^{7} +(0.587785 - 0.809017i) q^{8} +(2.89740 + 0.777866i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-3.73016 - 1.66078i) q^{11} +(-1.52236 + 0.826093i) q^{12} +(1.26376 + 5.94554i) q^{13} +(1.53660 + 3.45127i) q^{14} +(-1.60037 + 0.662438i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-6.25944 + 2.78688i) q^{17} +(2.99596 - 0.155551i) q^{18} +(0.190708 + 0.0405362i) q^{19} +(0.406737 - 0.913545i) q^{20} +(0.172879 - 6.54120i) q^{21} +(-4.06080 - 0.426808i) q^{22} +(2.56858 + 1.86618i) q^{23} +(-1.19257 + 1.25610i) q^{24} +(0.500000 - 0.866025i) q^{25} +(3.03918 + 5.26402i) q^{26} +(-4.79917 - 1.99198i) q^{27} +(2.52790 + 2.80751i) q^{28} +(-0.716520 - 2.20522i) q^{29} +(-1.31734 + 1.12456i) q^{30} +(-5.12643 + 2.17250i) q^{31} -1.00000i q^{32} +(6.02920 + 3.69671i) q^{33} +(-5.09189 + 4.58476i) q^{34} +(2.22058 + 3.05637i) q^{35} +(2.80126 - 1.07374i) q^{36} +(9.35934 + 5.40362i) q^{37} +(0.193900 - 0.0203797i) q^{38} +(-0.823468 - 10.4958i) q^{39} +(0.104528 - 0.994522i) q^{40} +(8.44129 + 7.60057i) q^{41} +(-1.85693 - 6.27448i) q^{42} +(0.0402884 - 0.189542i) q^{43} +(-3.99395 + 0.848939i) q^{44} +(2.89815 - 0.775048i) q^{45} +(3.01955 + 0.981111i) q^{46} +(4.66582 + 1.51602i) q^{47} +(-0.746047 + 1.56314i) q^{48} +(-7.11349 + 1.51202i) q^{49} +(0.207912 - 0.978148i) q^{50} +(11.3798 - 3.36784i) q^{51} +(4.51710 + 4.06722i) q^{52} +(0.349345 - 3.32380i) q^{53} +(-5.17984 - 0.411464i) q^{54} +(-4.06080 + 0.426808i) q^{55} +(3.27174 + 1.88894i) q^{56} +(-0.318298 - 0.112802i) q^{57} +(-1.36290 - 1.87587i) q^{58} +(-8.33435 + 7.50428i) q^{59} +(-0.905353 + 1.47660i) q^{60} +7.43838i q^{61} +(-4.20418 + 3.65032i) q^{62} +(-1.77842 + 11.1933i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(4.06722 + 4.51710i) q^{65} +(6.87645 + 1.65266i) q^{66} +(-4.90224 - 8.49093i) q^{67} +(-3.42591 + 5.93384i) q^{68} +(-3.98803 - 3.78634i) q^{69} +(3.05637 + 2.22058i) q^{70} +(3.03894 + 0.319405i) q^{71} +(2.33236 - 1.88683i) q^{72} +(-2.09217 + 4.69909i) q^{73} +(10.5711 + 2.24695i) q^{74} +(-1.05474 + 1.37387i) q^{75} +(0.178112 - 0.0793007i) q^{76} +(4.76682 - 14.6708i) q^{77} +(-4.02654 - 9.72762i) q^{78} +(-2.51209 - 5.64224i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(7.78985 + 4.50758i) q^{81} +(10.3769 + 4.62007i) q^{82} +(8.97420 - 9.96686i) q^{83} +(-3.70496 - 5.39356i) q^{84} +(-4.02739 + 5.54323i) q^{85} +(-0.0202552 - 0.192715i) q^{86} +(0.730920 + 3.94905i) q^{87} +(-3.53613 + 2.04159i) q^{88} +(-4.69447 + 3.41073i) q^{89} +(2.51681 - 1.63269i) q^{90} +(-21.8394 + 7.09607i) q^{91} +3.17494 q^{92} +(9.29505 - 2.56946i) q^{93} +4.90593 q^{94} +(0.185426 - 0.0602485i) q^{95} +(-0.226496 + 1.71718i) q^{96} +(10.5103 - 7.63620i) q^{97} +(-6.29809 + 3.63620i) q^{98} +(-9.51591 - 7.71350i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) −1.71718 0.226496i −0.991413 0.130767i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.70312 + 0.315227i −0.695298 + 0.128691i
\(7\) 0.394896 + 3.75719i 0.149257 + 1.42008i 0.770986 + 0.636852i \(0.219764\pi\)
−0.621730 + 0.783232i \(0.713570\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) 2.89740 + 0.777866i 0.965800 + 0.259289i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −3.73016 1.66078i −1.12469 0.500743i −0.241799 0.970326i \(-0.577737\pi\)
−0.882888 + 0.469584i \(0.844404\pi\)
\(12\) −1.52236 + 0.826093i −0.439467 + 0.238473i
\(13\) 1.26376 + 5.94554i 0.350505 + 1.64900i 0.701538 + 0.712632i \(0.252497\pi\)
−0.351033 + 0.936363i \(0.614170\pi\)
\(14\) 1.53660 + 3.45127i 0.410675 + 0.922390i
\(15\) −1.60037 + 0.662438i −0.413213 + 0.171041i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −6.25944 + 2.78688i −1.51814 + 0.675918i −0.985383 0.170352i \(-0.945510\pi\)
−0.532754 + 0.846270i \(0.678843\pi\)
\(18\) 2.99596 0.155551i 0.706156 0.0366637i
\(19\) 0.190708 + 0.0405362i 0.0437513 + 0.00929964i 0.229735 0.973253i \(-0.426214\pi\)
−0.185984 + 0.982553i \(0.559547\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 0.172879 6.54120i 0.0377253 1.42741i
\(22\) −4.06080 0.426808i −0.865766 0.0909957i
\(23\) 2.56858 + 1.86618i 0.535586 + 0.389126i 0.822443 0.568847i \(-0.192610\pi\)
−0.286857 + 0.957973i \(0.592610\pi\)
\(24\) −1.19257 + 1.25610i −0.243432 + 0.256399i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 3.03918 + 5.26402i 0.596033 + 1.03236i
\(27\) −4.79917 1.99198i −0.923600 0.383357i
\(28\) 2.52790 + 2.80751i 0.477728 + 0.530570i
\(29\) −0.716520 2.20522i −0.133054 0.409500i 0.862228 0.506521i \(-0.169069\pi\)
−0.995282 + 0.0970211i \(0.969069\pi\)
\(30\) −1.31734 + 1.12456i −0.240511 + 0.205315i
\(31\) −5.12643 + 2.17250i −0.920733 + 0.390193i
\(32\) 1.00000i 0.176777i
\(33\) 6.02920 + 3.69671i 1.04955 + 0.643515i
\(34\) −5.09189 + 4.58476i −0.873252 + 0.786279i
\(35\) 2.22058 + 3.05637i 0.375347 + 0.516621i
\(36\) 2.80126 1.07374i 0.466877 0.178957i
\(37\) 9.35934 + 5.40362i 1.53867 + 0.888349i 0.998917 + 0.0465234i \(0.0148142\pi\)
0.539749 + 0.841826i \(0.318519\pi\)
\(38\) 0.193900 0.0203797i 0.0314548 0.00330603i
\(39\) −0.823468 10.4958i −0.131860 1.68067i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 8.44129 + 7.60057i 1.31831 + 1.18701i 0.968165 + 0.250314i \(0.0805339\pi\)
0.350144 + 0.936696i \(0.386133\pi\)
\(42\) −1.85693 6.27448i −0.286530 0.968173i
\(43\) 0.0402884 0.189542i 0.00614393 0.0289049i −0.974969 0.222341i \(-0.928630\pi\)
0.981113 + 0.193437i \(0.0619634\pi\)
\(44\) −3.99395 + 0.848939i −0.602110 + 0.127982i
\(45\) 2.89815 0.775048i 0.432031 0.115537i
\(46\) 3.01955 + 0.981111i 0.445208 + 0.144657i
\(47\) 4.66582 + 1.51602i 0.680579 + 0.221134i 0.628849 0.777527i \(-0.283526\pi\)
0.0517303 + 0.998661i \(0.483526\pi\)
\(48\) −0.746047 + 1.56314i −0.107683 + 0.225620i
\(49\) −7.11349 + 1.51202i −1.01621 + 0.216003i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 11.3798 3.36784i 1.59349 0.471592i
\(52\) 4.51710 + 4.06722i 0.626410 + 0.564022i
\(53\) 0.349345 3.32380i 0.0479863 0.456559i −0.943975 0.330017i \(-0.892946\pi\)
0.991961 0.126542i \(-0.0403878\pi\)
\(54\) −5.17984 0.411464i −0.704886 0.0559932i
\(55\) −4.06080 + 0.426808i −0.547559 + 0.0575507i
\(56\) 3.27174 + 1.88894i 0.437205 + 0.252420i
\(57\) −0.318298 0.112802i −0.0421596 0.0149410i
\(58\) −1.36290 1.87587i −0.178958 0.246314i
\(59\) −8.33435 + 7.50428i −1.08504 + 0.976974i −0.999812 0.0193875i \(-0.993828\pi\)
−0.0852275 + 0.996362i \(0.527162\pi\)
\(60\) −0.905353 + 1.47660i −0.116881 + 0.190628i
\(61\) 7.43838i 0.952387i 0.879340 + 0.476194i \(0.157984\pi\)
−0.879340 + 0.476194i \(0.842016\pi\)
\(62\) −4.20418 + 3.65032i −0.533932 + 0.463591i
\(63\) −1.77842 + 11.1933i −0.224060 + 1.41022i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 4.06722 + 4.51710i 0.504476 + 0.560278i
\(66\) 6.87645 + 1.65266i 0.846433 + 0.203428i
\(67\) −4.90224 8.49093i −0.598904 1.03733i −0.992983 0.118256i \(-0.962270\pi\)
0.394079 0.919077i \(-0.371064\pi\)
\(68\) −3.42591 + 5.93384i −0.415452 + 0.719584i
\(69\) −3.98803 3.78634i −0.480102 0.455822i
\(70\) 3.05637 + 2.22058i 0.365306 + 0.265411i
\(71\) 3.03894 + 0.319405i 0.360655 + 0.0379064i 0.283123 0.959083i \(-0.408629\pi\)
0.0775319 + 0.996990i \(0.475296\pi\)
\(72\) 2.33236 1.88683i 0.274871 0.222365i
\(73\) −2.09217 + 4.69909i −0.244870 + 0.549986i −0.993609 0.112878i \(-0.963993\pi\)
0.748739 + 0.662865i \(0.230660\pi\)
\(74\) 10.5711 + 2.24695i 1.22886 + 0.261203i
\(75\) −1.05474 + 1.37387i −0.121791 + 0.158641i
\(76\) 0.178112 0.0793007i 0.0204309 0.00909642i
\(77\) 4.76682 14.6708i 0.543229 1.67189i
\(78\) −4.02654 9.72762i −0.455916 1.10144i
\(79\) −2.51209 5.64224i −0.282632 0.634802i 0.715318 0.698799i \(-0.246282\pi\)
−0.997950 + 0.0639971i \(0.979615\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) 7.78985 + 4.50758i 0.865539 + 0.500842i
\(82\) 10.3769 + 4.62007i 1.14593 + 0.510202i
\(83\) 8.97420 9.96686i 0.985046 1.09400i −0.0105201 0.999945i \(-0.503349\pi\)
0.995567 0.0940602i \(-0.0299846\pi\)
\(84\) −3.70496 5.39356i −0.404244 0.588486i
\(85\) −4.02739 + 5.54323i −0.436832 + 0.601248i
\(86\) −0.0202552 0.192715i −0.00218417 0.0207810i
\(87\) 0.730920 + 3.94905i 0.0783628 + 0.423382i
\(88\) −3.53613 + 2.04159i −0.376953 + 0.217634i
\(89\) −4.69447 + 3.41073i −0.497613 + 0.361537i −0.808104 0.589039i \(-0.799506\pi\)
0.310492 + 0.950576i \(0.399506\pi\)
\(90\) 2.51681 1.63269i 0.265295 0.172101i
\(91\) −21.8394 + 7.09607i −2.28940 + 0.743870i
\(92\) 3.17494 0.331011
\(93\) 9.29505 2.56946i 0.963851 0.266440i
\(94\) 4.90593 0.506008
\(95\) 0.185426 0.0602485i 0.0190243 0.00618137i
\(96\) −0.226496 + 1.71718i −0.0231166 + 0.175259i
\(97\) 10.5103 7.63620i 1.06716 0.775339i 0.0917622 0.995781i \(-0.470750\pi\)
0.975400 + 0.220442i \(0.0707500\pi\)
\(98\) −6.29809 + 3.63620i −0.636203 + 0.367312i
\(99\) −9.51591 7.71350i −0.956385 0.775236i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 6.13507 8.44420i 0.610462 0.840229i −0.386153 0.922435i \(-0.626196\pi\)
0.996615 + 0.0822054i \(0.0261964\pi\)
\(102\) 9.78210 6.71955i 0.968573 0.665335i
\(103\) 6.45892 7.17335i 0.636416 0.706811i −0.335526 0.942031i \(-0.608914\pi\)
0.971942 + 0.235219i \(0.0755809\pi\)
\(104\) 5.55286 + 2.47229i 0.544503 + 0.242428i
\(105\) −3.12088 5.75129i −0.304567 0.561268i
\(106\) −0.694863 3.26907i −0.0674911 0.317521i
\(107\) 4.84209 + 10.8755i 0.468103 + 1.05138i 0.981191 + 0.193040i \(0.0618346\pi\)
−0.513088 + 0.858336i \(0.671499\pi\)
\(108\) −5.05347 + 1.20933i −0.486270 + 0.116368i
\(109\) 3.27050 10.0656i 0.313257 0.964107i −0.663209 0.748435i \(-0.730806\pi\)
0.976466 0.215672i \(-0.0691942\pi\)
\(110\) −3.73016 + 1.66078i −0.355657 + 0.158349i
\(111\) −14.8478 11.3988i −1.40929 1.08193i
\(112\) 3.69533 + 0.785466i 0.349176 + 0.0742196i
\(113\) −0.197367 + 0.443294i −0.0185668 + 0.0417016i −0.922591 0.385780i \(-0.873932\pi\)
0.904024 + 0.427481i \(0.140599\pi\)
\(114\) −0.337577 0.00892191i −0.0316170 0.000835613i
\(115\) 3.15755 + 0.331872i 0.294443 + 0.0309472i
\(116\) −1.87587 1.36290i −0.174171 0.126542i
\(117\) −0.963207 + 18.2096i −0.0890485 + 1.68348i
\(118\) −5.60748 + 9.71245i −0.516211 + 0.894103i
\(119\) −12.9427 22.4174i −1.18645 2.05500i
\(120\) −0.404749 + 1.68410i −0.0369483 + 0.153736i
\(121\) 3.79551 + 4.21534i 0.345046 + 0.383212i
\(122\) 2.29859 + 7.07432i 0.208104 + 0.640479i
\(123\) −12.7737 14.9635i −1.15177 1.34921i
\(124\) −2.87040 + 4.77083i −0.257770 + 0.428433i
\(125\) 1.00000i 0.0894427i
\(126\) 1.76753 + 11.1950i 0.157464 + 0.997328i
\(127\) −11.7669 + 10.5950i −1.04414 + 0.940150i −0.998270 0.0587972i \(-0.981273\pi\)
−0.0458725 + 0.998947i \(0.514607\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −0.112113 + 0.316353i −0.00987099 + 0.0278533i
\(130\) 5.26402 + 3.03918i 0.461685 + 0.266554i
\(131\) −3.79841 + 0.399229i −0.331868 + 0.0348808i −0.268997 0.963141i \(-0.586692\pi\)
−0.0628709 + 0.998022i \(0.520026\pi\)
\(132\) 7.05059 0.553169i 0.613676 0.0481472i
\(133\) −0.0769923 + 0.732532i −0.00667607 + 0.0635186i
\(134\) −7.28615 6.56048i −0.629428 0.566739i
\(135\) −5.15219 + 0.674476i −0.443430 + 0.0580496i
\(136\) −1.42457 + 6.70208i −0.122156 + 0.574699i
\(137\) −16.5513 + 3.51810i −1.41408 + 0.300571i −0.850710 0.525636i \(-0.823827\pi\)
−0.563367 + 0.826207i \(0.690494\pi\)
\(138\) −4.96288 2.36866i −0.422469 0.201633i
\(139\) −6.52978 2.12165i −0.553849 0.179956i 0.0187029 0.999825i \(-0.494046\pi\)
−0.572551 + 0.819869i \(0.694046\pi\)
\(140\) 3.59298 + 1.16743i 0.303662 + 0.0986659i
\(141\) −7.66867 3.66005i −0.645818 0.308232i
\(142\) 2.98890 0.635311i 0.250823 0.0533141i
\(143\) 5.16016 24.2767i 0.431514 2.03012i
\(144\) 1.63514 2.51522i 0.136262 0.209601i
\(145\) −1.72314 1.55152i −0.143099 0.128847i
\(146\) −0.537672 + 5.11561i −0.0444981 + 0.423371i
\(147\) 12.5576 0.985231i 1.03573 0.0812605i
\(148\) 10.7480 1.12966i 0.883483 0.0928578i
\(149\) −3.30591 1.90867i −0.270831 0.156364i 0.358434 0.933555i \(-0.383311\pi\)
−0.629265 + 0.777191i \(0.716644\pi\)
\(150\) −0.578567 + 1.63256i −0.0472398 + 0.133298i
\(151\) 2.32612 + 3.20162i 0.189297 + 0.260544i 0.893108 0.449843i \(-0.148520\pi\)
−0.703811 + 0.710387i \(0.748520\pi\)
\(152\) 0.144890 0.130459i 0.0117521 0.0105816i
\(153\) −20.3039 + 3.20570i −1.64147 + 0.259166i
\(154\) 15.4258i 1.24304i
\(155\) −3.35337 + 4.44465i −0.269349 + 0.357003i
\(156\) −6.83546 8.00724i −0.547275 0.641093i
\(157\) −5.24995 16.1577i −0.418992 1.28952i −0.908632 0.417599i \(-0.862872\pi\)
0.489640 0.871925i \(-0.337128\pi\)
\(158\) −4.13269 4.58981i −0.328779 0.365146i
\(159\) −1.35271 + 5.62843i −0.107277 + 0.446363i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −5.99728 + 10.3876i −0.472652 + 0.818657i
\(162\) 8.80150 + 1.87977i 0.691511 + 0.147688i
\(163\) 8.15832 + 5.92737i 0.639009 + 0.464267i 0.859510 0.511120i \(-0.170769\pi\)
−0.220501 + 0.975387i \(0.570769\pi\)
\(164\) 11.2967 + 1.18733i 0.882120 + 0.0927146i
\(165\) 7.06979 + 0.186849i 0.550383 + 0.0145462i
\(166\) 5.45504 12.2522i 0.423393 0.950957i
\(167\) −10.1106 2.14907i −0.782380 0.166300i −0.200629 0.979667i \(-0.564299\pi\)
−0.581750 + 0.813367i \(0.697632\pi\)
\(168\) −5.19033 3.98468i −0.400443 0.307425i
\(169\) −21.8762 + 9.73992i −1.68279 + 0.749225i
\(170\) −2.11733 + 6.51646i −0.162392 + 0.499790i
\(171\) 0.521025 + 0.265795i 0.0398438 + 0.0203258i
\(172\) −0.0788161 0.177024i −0.00600967 0.0134979i
\(173\) 0.311118 + 1.46369i 0.0236538 + 0.111283i 0.988391 0.151934i \(-0.0485500\pi\)
−0.964737 + 0.263216i \(0.915217\pi\)
\(174\) 1.91547 + 3.52990i 0.145211 + 0.267601i
\(175\) 3.45127 + 1.53660i 0.260891 + 0.116156i
\(176\) −2.73218 + 3.03439i −0.205945 + 0.228726i
\(177\) 16.0112 10.9985i 1.20348 0.826697i
\(178\) −3.41073 + 4.69447i −0.255645 + 0.351865i
\(179\) −1.56340 14.8748i −0.116854 1.11179i −0.883080 0.469222i \(-0.844534\pi\)
0.766226 0.642571i \(-0.222132\pi\)
\(180\) 1.88909 2.33052i 0.140805 0.173707i
\(181\) 15.1547 8.74960i 1.12644 0.650352i 0.183405 0.983037i \(-0.441288\pi\)
0.943038 + 0.332685i \(0.107955\pi\)
\(182\) −18.5777 + 13.4975i −1.37707 + 1.00050i
\(183\) 1.68476 12.7730i 0.124541 0.944209i
\(184\) 3.01955 0.981111i 0.222604 0.0723285i
\(185\) 10.8072 0.794564
\(186\) 8.04611 5.31603i 0.589969 0.389790i
\(187\) 27.9771 2.04589
\(188\) 4.66582 1.51602i 0.340290 0.110567i
\(189\) 5.58908 18.8180i 0.406546 1.36881i
\(190\) 0.157733 0.114599i 0.0114431 0.00831392i
\(191\) −9.86557 + 5.69589i −0.713848 + 0.412140i −0.812484 0.582983i \(-0.801885\pi\)
0.0986365 + 0.995124i \(0.468552\pi\)
\(192\) 0.315227 + 1.70312i 0.0227496 + 0.122912i
\(193\) 2.24885 + 21.3964i 0.161876 + 1.54015i 0.710272 + 0.703928i \(0.248572\pi\)
−0.548396 + 0.836219i \(0.684761\pi\)
\(194\) 7.63620 10.5103i 0.548247 0.754598i
\(195\) −5.96103 8.67788i −0.426879 0.621436i
\(196\) −4.86619 + 5.40445i −0.347585 + 0.386032i
\(197\) 3.01017 + 1.34021i 0.214466 + 0.0954862i 0.511158 0.859487i \(-0.329217\pi\)
−0.296692 + 0.954973i \(0.595883\pi\)
\(198\) −11.4338 4.39540i −0.812563 0.312367i
\(199\) 0.0158454 + 0.0745467i 0.00112325 + 0.00528448i 0.978706 0.205269i \(-0.0658068\pi\)
−0.977582 + 0.210553i \(0.932473\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 6.49486 + 15.6908i 0.458112 + 1.10674i
\(202\) 3.22540 9.92675i 0.226938 0.698444i
\(203\) 8.00248 3.56294i 0.561664 0.250069i
\(204\) 7.22688 9.41351i 0.505983 0.659078i
\(205\) 11.1107 + 2.36164i 0.776002 + 0.164944i
\(206\) 3.92611 8.81818i 0.273545 0.614392i
\(207\) 5.99057 + 7.40509i 0.416373 + 0.514690i
\(208\) 6.04507 + 0.635362i 0.419150 + 0.0440544i
\(209\) −0.644049 0.467929i −0.0445498 0.0323673i
\(210\) −4.74538 4.50539i −0.327462 0.310902i
\(211\) 0.953391 1.65132i 0.0656342 0.113682i −0.831341 0.555763i \(-0.812426\pi\)
0.896975 + 0.442081i \(0.145760\pi\)
\(212\) −1.67105 2.89435i −0.114768 0.198785i
\(213\) −5.14605 1.23678i −0.352602 0.0847428i
\(214\) 7.96582 + 8.84694i 0.544532 + 0.604764i
\(215\) −0.0598803 0.184293i −0.00408380 0.0125687i
\(216\) −4.43243 + 2.71175i −0.301588 + 0.184511i
\(217\) −10.1869 18.4030i −0.691532 1.24928i
\(218\) 10.5836i 0.716810i
\(219\) 4.65695 7.59530i 0.314687 0.513243i
\(220\) −3.03439 + 2.73218i −0.204578 + 0.184203i
\(221\) −24.4800 33.6938i −1.64670 2.26649i
\(222\) −17.6435 6.25271i −1.18415 0.419655i
\(223\) 15.7342 + 9.08415i 1.05364 + 0.608319i 0.923666 0.383198i \(-0.125177\pi\)
0.129974 + 0.991517i \(0.458511\pi\)
\(224\) 3.75719 0.394896i 0.251038 0.0263851i
\(225\) 2.12235 2.12029i 0.141490 0.141353i
\(226\) −0.0507220 + 0.482588i −0.00337398 + 0.0321013i
\(227\) −9.30484 8.37812i −0.617584 0.556075i 0.299838 0.953990i \(-0.403067\pi\)
−0.917422 + 0.397915i \(0.869734\pi\)
\(228\) −0.323812 + 0.0958318i −0.0214450 + 0.00634662i
\(229\) 3.32576 15.6465i 0.219772 1.03395i −0.720482 0.693474i \(-0.756079\pi\)
0.940254 0.340473i \(-0.110587\pi\)
\(230\) 3.10556 0.660107i 0.204775 0.0435262i
\(231\) −11.5083 + 24.1126i −0.757193 + 1.58650i
\(232\) −2.20522 0.716520i −0.144780 0.0470419i
\(233\) −9.99918 3.24893i −0.655068 0.212845i −0.0374207 0.999300i \(-0.511914\pi\)
−0.617648 + 0.786455i \(0.711914\pi\)
\(234\) 4.71102 + 17.6160i 0.307969 + 1.15160i
\(235\) 4.79872 1.02000i 0.313034 0.0665375i
\(236\) −2.33172 + 10.9699i −0.151782 + 0.714079i
\(237\) 3.03576 + 10.2577i 0.197194 + 0.666310i
\(238\) −19.2366 17.3207i −1.24692 1.12273i
\(239\) 2.10919 20.0676i 0.136432 1.29806i −0.685330 0.728233i \(-0.740342\pi\)
0.821762 0.569831i \(-0.192991\pi\)
\(240\) 0.135475 + 1.72674i 0.00874489 + 0.111461i
\(241\) 10.7058 1.12523i 0.689624 0.0724824i 0.246767 0.969075i \(-0.420632\pi\)
0.442857 + 0.896592i \(0.353965\pi\)
\(242\) 4.91235 + 2.83615i 0.315778 + 0.182314i
\(243\) −12.3556 9.50468i −0.792613 0.609726i
\(244\) 4.37217 + 6.01778i 0.279900 + 0.385249i
\(245\) −5.40445 + 4.86619i −0.345278 + 0.310889i
\(246\) −16.7725 10.2838i −1.06937 0.655671i
\(247\) 1.18509i 0.0754053i
\(248\) −1.25565 + 5.42433i −0.0797337 + 0.344445i
\(249\) −17.6677 + 15.0823i −1.11965 + 0.955799i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) 17.7783 + 19.7448i 1.12215 + 1.24628i 0.965999 + 0.258546i \(0.0832433\pi\)
0.156155 + 0.987733i \(0.450090\pi\)
\(252\) 5.14046 + 10.1009i 0.323818 + 0.636294i
\(253\) −6.48192 11.2270i −0.407515 0.705836i
\(254\) −7.91695 + 13.7126i −0.496754 + 0.860403i
\(255\) 8.17127 8.60653i 0.511705 0.538962i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −11.3314 1.19098i −0.706832 0.0742910i −0.255710 0.966754i \(-0.582309\pi\)
−0.451122 + 0.892463i \(0.648976\pi\)
\(258\) −0.00886738 + 0.335514i −0.000552059 + 0.0208882i
\(259\) −16.6064 + 37.2987i −1.03187 + 2.31763i
\(260\) 5.94554 + 1.26376i 0.368727 + 0.0783752i
\(261\) −0.360677 6.94677i −0.0223254 0.429994i
\(262\) −3.48913 + 1.55346i −0.215559 + 0.0959731i
\(263\) −1.31834 + 4.05744i −0.0812925 + 0.250193i −0.983440 0.181236i \(-0.941990\pi\)
0.902147 + 0.431428i \(0.141990\pi\)
\(264\) 6.53458 2.70485i 0.402175 0.166472i
\(265\) −1.35936 3.05317i −0.0835047 0.187555i
\(266\) 0.153141 + 0.720472i 0.00938967 + 0.0441749i
\(267\) 8.83376 4.79356i 0.540617 0.293361i
\(268\) −8.95684 3.98784i −0.547126 0.243596i
\(269\) 2.08755 2.31846i 0.127280 0.141359i −0.676136 0.736777i \(-0.736347\pi\)
0.803416 + 0.595418i \(0.203013\pi\)
\(270\) −4.69160 + 2.23358i −0.285522 + 0.135931i
\(271\) 5.68849 7.82954i 0.345551 0.475611i −0.600501 0.799624i \(-0.705032\pi\)
0.946053 + 0.324013i \(0.105032\pi\)
\(272\) 0.716209 + 6.81428i 0.0434266 + 0.413176i
\(273\) 39.1094 7.23867i 2.36701 0.438104i
\(274\) −14.6541 + 8.46055i −0.885287 + 0.511121i
\(275\) −3.30336 + 2.40003i −0.199200 + 0.144727i
\(276\) −5.45194 0.719110i −0.328168 0.0432853i
\(277\) 30.5934 9.94039i 1.83818 0.597260i 0.839644 0.543137i \(-0.182763\pi\)
0.998534 0.0541239i \(-0.0172366\pi\)
\(278\) −6.86581 −0.411784
\(279\) −16.5432 + 2.30693i −0.990417 + 0.138112i
\(280\) 3.77788 0.225772
\(281\) 24.6990 8.02520i 1.47342 0.478743i 0.541280 0.840842i \(-0.317940\pi\)
0.932140 + 0.362099i \(0.117940\pi\)
\(282\) −8.42435 1.11117i −0.501663 0.0661693i
\(283\) −6.84152 + 4.97065i −0.406686 + 0.295475i −0.772259 0.635308i \(-0.780873\pi\)
0.365573 + 0.930783i \(0.380873\pi\)
\(284\) 2.64629 1.52784i 0.157029 0.0906605i
\(285\) −0.332055 + 0.0614593i −0.0196692 + 0.00364053i
\(286\) −2.59429 24.6830i −0.153404 1.45954i
\(287\) −25.2234 + 34.7170i −1.48889 + 2.04928i
\(288\) 0.777866 2.89740i 0.0458362 0.170731i
\(289\) 20.0387 22.2552i 1.17875 1.30913i
\(290\) −2.11825 0.943104i −0.124388 0.0553809i
\(291\) −19.7777 + 10.7322i −1.15939 + 0.629131i
\(292\) 1.06945 + 5.03139i 0.0625851 + 0.294440i
\(293\) 3.56007 + 7.99605i 0.207982 + 0.467135i 0.987174 0.159651i \(-0.0510369\pi\)
−0.779192 + 0.626786i \(0.784370\pi\)
\(294\) 11.6385 4.81752i 0.678772 0.280963i
\(295\) −3.46562 + 10.6661i −0.201776 + 0.621003i
\(296\) 9.87290 4.39570i 0.573851 0.255495i
\(297\) 14.5934 + 15.4008i 0.846797 + 0.893643i
\(298\) −3.73392 0.793670i −0.216300 0.0459760i
\(299\) −7.84939 + 17.6300i −0.453942 + 1.01957i
\(300\) −0.0457608 + 1.73145i −0.00264200 + 0.0999651i
\(301\) 0.728056 + 0.0765217i 0.0419644 + 0.00441064i
\(302\) 3.20162 + 2.32612i 0.184233 + 0.133853i
\(303\) −12.4476 + 13.1106i −0.715095 + 0.753186i
\(304\) 0.0974841 0.168847i 0.00559110 0.00968406i
\(305\) 3.71919 + 6.44183i 0.212960 + 0.368858i
\(306\) −18.3196 + 9.32306i −1.04726 + 0.532964i
\(307\) 3.86841 + 4.29630i 0.220782 + 0.245203i 0.843353 0.537360i \(-0.180578\pi\)
−0.622571 + 0.782563i \(0.713912\pi\)
\(308\) −4.76682 14.6708i −0.271615 0.835944i
\(309\) −12.7158 + 10.8550i −0.723379 + 0.617520i
\(310\) −1.81577 + 5.26336i −0.103129 + 0.298939i
\(311\) 23.3649i 1.32490i 0.749105 + 0.662451i \(0.230484\pi\)
−0.749105 + 0.662451i \(0.769516\pi\)
\(312\) −8.97529 5.50307i −0.508126 0.311550i
\(313\) −4.09463 + 3.68682i −0.231442 + 0.208391i −0.776689 0.629884i \(-0.783102\pi\)
0.545247 + 0.838275i \(0.316436\pi\)
\(314\) −9.98600 13.7445i −0.563542 0.775650i
\(315\) 4.05647 + 10.5828i 0.228556 + 0.596276i
\(316\) −5.34875 3.08810i −0.300891 0.173719i
\(317\) 12.6596 1.33058i 0.711034 0.0747327i 0.257895 0.966173i \(-0.416971\pi\)
0.453138 + 0.891440i \(0.350304\pi\)
\(318\) 0.452773 + 5.77097i 0.0253902 + 0.323620i
\(319\) −0.989643 + 9.41582i −0.0554093 + 0.527185i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −5.85148 19.7719i −0.326597 1.10356i
\(322\) −2.49381 + 11.7325i −0.138975 + 0.653824i
\(323\) −1.30669 + 0.277746i −0.0727064 + 0.0154542i
\(324\) 8.95161 0.932050i 0.497312 0.0517806i
\(325\) 5.78087 + 1.87832i 0.320665 + 0.104190i
\(326\) 9.59068 + 3.11620i 0.531179 + 0.172590i
\(327\) −7.89584 + 16.5436i −0.436641 + 0.914864i
\(328\) 11.1107 2.36164i 0.613484 0.130400i
\(329\) −3.85344 + 18.1290i −0.212447 + 0.999485i
\(330\) 6.78151 2.00698i 0.373310 0.110481i
\(331\) 15.1960 + 13.6826i 0.835249 + 0.752062i 0.971101 0.238667i \(-0.0767105\pi\)
−0.135852 + 0.990729i \(0.543377\pi\)
\(332\) 1.40191 13.3383i 0.0769397 0.732032i
\(333\) 22.9145 + 22.9368i 1.25570 + 1.25693i
\(334\) −10.2798 + 1.08045i −0.562487 + 0.0591198i
\(335\) −8.49093 4.90224i −0.463909 0.267838i
\(336\) −6.16763 2.18576i −0.336472 0.119243i
\(337\) 9.56303 + 13.1624i 0.520932 + 0.717001i 0.985715 0.168424i \(-0.0538677\pi\)
−0.464783 + 0.885425i \(0.653868\pi\)
\(338\) −17.7957 + 16.0233i −0.967960 + 0.871555i
\(339\) 0.439319 0.716512i 0.0238605 0.0389156i
\(340\) 6.85181i 0.371592i
\(341\) 22.7304 + 0.410064i 1.23092 + 0.0222062i
\(342\) 0.577659 + 0.0917802i 0.0312362 + 0.00496290i
\(343\) −0.318016 0.978754i −0.0171713 0.0528477i
\(344\) −0.129662 0.144004i −0.00699090 0.00776418i
\(345\) −5.34691 1.28505i −0.287868 0.0691850i
\(346\) 0.748196 + 1.29591i 0.0402233 + 0.0696688i
\(347\) 10.2753 17.7974i 0.551609 0.955415i −0.446550 0.894759i \(-0.647347\pi\)
0.998159 0.0606558i \(-0.0193192\pi\)
\(348\) 2.91252 + 2.76522i 0.156127 + 0.148232i
\(349\) 18.6496 + 13.5497i 0.998289 + 0.725299i 0.961721 0.274032i \(-0.0883573\pi\)
0.0365684 + 0.999331i \(0.488357\pi\)
\(350\) 3.75719 + 0.394896i 0.200830 + 0.0211081i
\(351\) 5.77840 31.0510i 0.308428 1.65738i
\(352\) −1.66078 + 3.73016i −0.0885196 + 0.198818i
\(353\) 10.1179 + 2.15063i 0.538521 + 0.114466i 0.469140 0.883124i \(-0.344564\pi\)
0.0693816 + 0.997590i \(0.477897\pi\)
\(354\) 11.8289 15.4079i 0.628698 0.818922i
\(355\) 2.79150 1.24286i 0.148157 0.0659639i
\(356\) −1.79313 + 5.51868i −0.0950356 + 0.292489i
\(357\) 17.1474 + 41.4261i 0.907539 + 2.19250i
\(358\) −6.08345 13.6636i −0.321520 0.722146i
\(359\) −3.01548 14.1867i −0.159151 0.748746i −0.983244 0.182292i \(-0.941648\pi\)
0.824093 0.566454i \(-0.191685\pi\)
\(360\) 1.07647 2.80022i 0.0567347 0.147584i
\(361\) −17.3226 7.71254i −0.911718 0.405923i
\(362\) 11.7092 13.0044i 0.615424 0.683498i
\(363\) −5.56280 8.09815i −0.291972 0.425043i
\(364\) −13.4975 + 18.5777i −0.707462 + 0.973738i
\(365\) 0.537672 + 5.11561i 0.0281431 + 0.267763i
\(366\) −2.34478 12.6685i −0.122564 0.662192i
\(367\) −18.6210 + 10.7509i −0.972011 + 0.561191i −0.899849 0.436202i \(-0.856323\pi\)
−0.0721622 + 0.997393i \(0.522990\pi\)
\(368\) 2.56858 1.86618i 0.133897 0.0972816i
\(369\) 18.5456 + 28.5881i 0.965444 + 1.48824i
\(370\) 10.2783 3.33962i 0.534343 0.173619i
\(371\) 12.6261 0.655514
\(372\) 6.00956 7.54223i 0.311581 0.391046i
\(373\) −21.6657 −1.12181 −0.560904 0.827881i \(-0.689546\pi\)
−0.560904 + 0.827881i \(0.689546\pi\)
\(374\) 26.6078 8.64541i 1.37586 0.447043i
\(375\) −0.226496 + 1.71718i −0.0116962 + 0.0886747i
\(376\) 3.96898 2.88363i 0.204685 0.148712i
\(377\) 12.2057 7.04698i 0.628627 0.362938i
\(378\) −0.499551 19.6241i −0.0256941 1.00935i
\(379\) 1.92563 + 18.3211i 0.0989128 + 0.941092i 0.925619 + 0.378458i \(0.123546\pi\)
−0.826706 + 0.562635i \(0.809788\pi\)
\(380\) 0.114599 0.157733i 0.00587883 0.00809151i
\(381\) 22.6055 15.5283i 1.15812 0.795537i
\(382\) −7.62259 + 8.46574i −0.390005 + 0.433145i
\(383\) 14.4436 + 6.43069i 0.738032 + 0.328593i 0.741093 0.671402i \(-0.234308\pi\)
−0.00306103 + 0.999995i \(0.500974\pi\)
\(384\) 0.826093 + 1.52236i 0.0421564 + 0.0776874i
\(385\) −3.20719 15.0887i −0.163454 0.768989i
\(386\) 8.75064 + 19.6542i 0.445396 + 1.00037i
\(387\) 0.264170 0.517841i 0.0134285 0.0263233i
\(388\) 4.01459 12.3556i 0.203810 0.627262i
\(389\) −8.96023 + 3.98935i −0.454302 + 0.202268i −0.621114 0.783721i \(-0.713319\pi\)
0.166812 + 0.985989i \(0.446653\pi\)
\(390\) −8.35089 6.41109i −0.422864 0.324638i
\(391\) −21.2787 4.52293i −1.07611 0.228734i
\(392\) −2.95795 + 6.64367i −0.149399 + 0.335556i
\(393\) 6.61296 + 0.174776i 0.333580 + 0.00881626i
\(394\) 3.27699 + 0.344425i 0.165092 + 0.0173519i
\(395\) −4.99665 3.63028i −0.251409 0.182659i
\(396\) −12.2324 0.647039i −0.614702 0.0325149i
\(397\) −7.77524 + 13.4671i −0.390228 + 0.675895i −0.992479 0.122411i \(-0.960937\pi\)
0.602251 + 0.798307i \(0.294271\pi\)
\(398\) 0.0381061 + 0.0660017i 0.00191008 + 0.00330836i
\(399\) 0.298125 1.24045i 0.0149249 0.0621002i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −11.4336 35.1889i −0.570964 1.75725i −0.649527 0.760338i \(-0.725033\pi\)
0.0785627 0.996909i \(-0.474967\pi\)
\(402\) 11.0257 + 12.9158i 0.549912 + 0.644181i
\(403\) −19.3953 27.7338i −0.966147 1.38152i
\(404\) 10.4376i 0.519290i
\(405\) 9.00000 + 0.00875358i 0.447213 + 0.000434969i
\(406\) 6.50981 5.86146i 0.323076 0.290899i
\(407\) −25.9377 35.7001i −1.28568 1.76959i
\(408\) 3.96423 11.1860i 0.196259 0.553790i
\(409\) −23.2365 13.4156i −1.14897 0.663359i −0.200335 0.979727i \(-0.564203\pi\)
−0.948636 + 0.316368i \(0.897536\pi\)
\(410\) 11.2967 1.18733i 0.557902 0.0586379i
\(411\) 29.2184 2.29239i 1.44124 0.113075i
\(412\) 1.00898 9.59982i 0.0497090 0.472949i
\(413\) −31.4862 28.3503i −1.54933 1.39503i
\(414\) 7.98567 + 5.19148i 0.392474 + 0.255147i
\(415\) 2.78846 13.1187i 0.136880 0.643969i
\(416\) 5.94554 1.26376i 0.291504 0.0619611i
\(417\) 10.7322 + 5.12222i 0.525560 + 0.250836i
\(418\) −0.757125 0.246005i −0.0370322 0.0120325i
\(419\) 11.1334 + 3.61746i 0.543903 + 0.176725i 0.568065 0.822983i \(-0.307692\pi\)
−0.0241629 + 0.999708i \(0.507692\pi\)
\(420\) −5.90537 2.81848i −0.288153 0.137528i
\(421\) 10.1854 2.16498i 0.496408 0.105515i 0.0470974 0.998890i \(-0.485003\pi\)
0.449311 + 0.893375i \(0.351670\pi\)
\(422\) 0.396442 1.86512i 0.0192985 0.0907924i
\(423\) 12.3395 + 8.02188i 0.599966 + 0.390037i
\(424\) −2.48367 2.23631i −0.120618 0.108605i
\(425\) −0.716209 + 6.81428i −0.0347413 + 0.330541i
\(426\) −5.27637 + 0.413969i −0.255641 + 0.0200568i
\(427\) −27.9474 + 2.93739i −1.35247 + 0.142150i
\(428\) 10.3098 + 5.95237i 0.498343 + 0.287718i
\(429\) −14.3595 + 40.5186i −0.693282 + 1.95626i
\(430\) −0.113899 0.156769i −0.00549270 0.00756006i
\(431\) 13.8086 12.4333i 0.665136 0.598891i −0.265820 0.964023i \(-0.585643\pi\)
0.930956 + 0.365131i \(0.118976\pi\)
\(432\) −3.37751 + 3.94872i −0.162501 + 0.189983i
\(433\) 33.7931i 1.62399i 0.583662 + 0.811997i \(0.301619\pi\)
−0.583662 + 0.811997i \(0.698381\pi\)
\(434\) −15.3752 14.3544i −0.738032 0.689033i
\(435\) 2.60752 + 3.05452i 0.125021 + 0.146453i
\(436\) −3.27050 10.0656i −0.156629 0.482053i
\(437\) 0.414200 + 0.460016i 0.0198139 + 0.0220056i
\(438\) 2.08194 8.66264i 0.0994791 0.413917i
\(439\) −4.75560 8.23694i −0.226973 0.393128i 0.729937 0.683515i \(-0.239549\pi\)
−0.956909 + 0.290387i \(0.906216\pi\)
\(440\) −2.04159 + 3.53613i −0.0973288 + 0.168578i
\(441\) −21.7868 1.15242i −1.03746 0.0548772i
\(442\) −33.6938 24.4800i −1.60265 1.16439i
\(443\) −22.7744 2.39368i −1.08204 0.113727i −0.453313 0.891351i \(-0.649758\pi\)
−0.628730 + 0.777624i \(0.716425\pi\)
\(444\) −18.7121 0.494548i −0.888039 0.0234702i
\(445\) −2.36016 + 5.30102i −0.111883 + 0.251292i
\(446\) 17.7713 + 3.77740i 0.841494 + 0.178865i
\(447\) 5.24454 + 4.02630i 0.248058 + 0.190437i
\(448\) 3.45127 1.53660i 0.163057 0.0725977i
\(449\) 4.86519 14.9735i 0.229602 0.706644i −0.768189 0.640223i \(-0.778842\pi\)
0.997792 0.0664209i \(-0.0211580\pi\)
\(450\) 1.36327 2.67236i 0.0642652 0.125976i
\(451\) −18.8646 42.3705i −0.888297 1.99515i
\(452\) 0.100888 + 0.474642i 0.00474539 + 0.0223253i
\(453\) −3.26920 6.02461i −0.153600 0.283061i
\(454\) −11.4384 5.09271i −0.536831 0.239013i
\(455\) −15.3655 + 17.0651i −0.720345 + 0.800024i
\(456\) −0.278350 + 0.191205i −0.0130349 + 0.00895399i
\(457\) 1.44637 1.99076i 0.0676584 0.0931238i −0.773847 0.633373i \(-0.781670\pi\)
0.841505 + 0.540249i \(0.181670\pi\)
\(458\) −1.67204 15.9084i −0.0781292 0.743350i
\(459\) 35.5915 0.906017i 1.66127 0.0422892i
\(460\) 2.74958 1.58747i 0.128200 0.0740162i
\(461\) −20.9869 + 15.2478i −0.977456 + 0.710163i −0.957139 0.289630i \(-0.906468\pi\)
−0.0203171 + 0.999794i \(0.506468\pi\)
\(462\) −3.49386 + 26.4888i −0.162549 + 1.23237i
\(463\) −25.5865 + 8.31357i −1.18911 + 0.386364i −0.835742 0.549122i \(-0.814962\pi\)
−0.353364 + 0.935486i \(0.614962\pi\)
\(464\) −2.31871 −0.107643
\(465\) 6.76502 6.87274i 0.313720 0.318716i
\(466\) −10.5138 −0.487041
\(467\) 18.6040 6.04482i 0.860892 0.279721i 0.154891 0.987932i \(-0.450497\pi\)
0.706001 + 0.708211i \(0.250497\pi\)
\(468\) 9.92410 + 15.2981i 0.458742 + 0.707153i
\(469\) 29.9662 21.7717i 1.38371 1.00532i
\(470\) 4.24866 2.45296i 0.195976 0.113147i
\(471\) 5.35545 + 28.9347i 0.246766 + 1.33324i
\(472\) 1.17228 + 11.1535i 0.0539587 + 0.513383i
\(473\) −0.465070 + 0.640113i −0.0213839 + 0.0294324i
\(474\) 6.05699 + 8.81756i 0.278207 + 0.405004i
\(475\) 0.130459 0.144890i 0.00598588 0.00664799i
\(476\) −23.6474 10.5285i −1.08388 0.482574i
\(477\) 3.59766 9.35863i 0.164726 0.428502i
\(478\) −4.19526 19.7372i −0.191887 0.902757i
\(479\) 15.1451 + 34.0165i 0.691998 + 1.55425i 0.826249 + 0.563305i \(0.190470\pi\)
−0.134251 + 0.990947i \(0.542863\pi\)
\(480\) 0.662438 + 1.60037i 0.0302360 + 0.0730464i
\(481\) −20.2994 + 62.4752i −0.925574 + 2.84862i
\(482\) 9.83415 4.37844i 0.447933 0.199433i
\(483\) 12.6511 16.4790i 0.575647 0.749820i
\(484\) 5.54834 + 1.17934i 0.252197 + 0.0536062i
\(485\) 5.28411 11.8683i 0.239939 0.538912i
\(486\) −14.6880 5.22140i −0.666261 0.236847i
\(487\) 40.8665 + 4.29524i 1.85184 + 0.194636i 0.964069 0.265652i \(-0.0855872\pi\)
0.887770 + 0.460288i \(0.152254\pi\)
\(488\) 6.01778 + 4.37217i 0.272412 + 0.197919i
\(489\) −12.6668 12.0262i −0.572811 0.543842i
\(490\) −3.63620 + 6.29809i −0.164267 + 0.284519i
\(491\) 4.84079 + 8.38450i 0.218462 + 0.378387i 0.954338 0.298729i \(-0.0965627\pi\)
−0.735876 + 0.677116i \(0.763229\pi\)
\(492\) −19.1294 4.59749i −0.862422 0.207271i
\(493\) 10.6307 + 11.8066i 0.478783 + 0.531743i
\(494\) 0.366212 + 1.12709i 0.0164767 + 0.0507100i
\(495\) −12.0978 1.92213i −0.543754 0.0863933i
\(496\) 0.482017 + 5.54686i 0.0216432 + 0.249061i
\(497\) 11.5440i 0.517819i
\(498\) −12.1424 + 19.8037i −0.544112 + 0.887425i
\(499\) 26.1329 23.5301i 1.16987 1.05335i 0.172202 0.985062i \(-0.444912\pi\)
0.997665 0.0682915i \(-0.0217548\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) 16.8749 + 5.98033i 0.753915 + 0.267182i
\(502\) 23.0096 + 13.2846i 1.02697 + 0.592921i
\(503\) 39.5009 4.15172i 1.76126 0.185116i 0.832058 0.554689i \(-0.187163\pi\)
0.929202 + 0.369573i \(0.120496\pi\)
\(504\) 8.01020 + 8.01800i 0.356803 + 0.357150i
\(505\) 1.09103 10.3804i 0.0485501 0.461923i
\(506\) −9.63400 8.67450i −0.428284 0.385628i
\(507\) 39.7714 11.7703i 1.76631 0.522738i
\(508\) −3.29205 + 15.4879i −0.146061 + 0.687164i
\(509\) −19.8189 + 4.21264i −0.878457 + 0.186722i −0.625000 0.780625i \(-0.714901\pi\)
−0.253457 + 0.967347i \(0.581568\pi\)
\(510\) 5.11177 10.7104i 0.226353 0.474263i
\(511\) −18.4815 6.00502i −0.817575 0.265646i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −0.834491 0.574426i −0.0368437 0.0253615i
\(514\) −11.1448 + 2.36890i −0.491576 + 0.104488i
\(515\) 2.00691 9.44176i 0.0884350 0.416054i
\(516\) 0.0952461 + 0.321833i 0.00419298 + 0.0141679i
\(517\) −14.8865 13.4039i −0.654707 0.589501i
\(518\) −4.26774 + 40.6048i −0.187514 + 1.78407i
\(519\) −0.202724 2.58389i −0.00889861 0.113420i
\(520\) 6.04507 0.635362i 0.265094 0.0278625i
\(521\) 17.2505 + 9.95960i 0.755759 + 0.436338i 0.827771 0.561066i \(-0.189609\pi\)
−0.0720117 + 0.997404i \(0.522942\pi\)
\(522\) −2.48969 6.49531i −0.108971 0.284292i
\(523\) 11.9938 + 16.5080i 0.524452 + 0.721846i 0.986272 0.165127i \(-0.0528035\pi\)
−0.461820 + 0.886974i \(0.652803\pi\)
\(524\) −2.83831 + 2.55563i −0.123992 + 0.111643i
\(525\) −5.57841 3.42032i −0.243462 0.149275i
\(526\) 4.26625i 0.186017i
\(527\) 26.0341 27.8854i 1.13406 1.21471i
\(528\) 5.37891 4.59176i 0.234087 0.199831i
\(529\) −3.99242 12.2874i −0.173584 0.534235i
\(530\) −2.23631 2.48367i −0.0971389 0.107884i
\(531\) −29.9853 + 15.2599i −1.30125 + 0.662223i
\(532\) 0.368284 + 0.637886i 0.0159671 + 0.0276559i
\(533\) −34.5217 + 59.7933i −1.49530 + 2.58994i
\(534\) 6.92011 7.28872i 0.299462 0.315414i
\(535\) 9.63113 + 6.99743i 0.416390 + 0.302525i
\(536\) −9.75078 1.02485i −0.421169 0.0442667i
\(537\) −0.684432 + 25.8968i −0.0295354 + 1.11753i
\(538\) 1.26894 2.85008i 0.0547077 0.122875i
\(539\) 29.0456 + 6.17383i 1.25108 + 0.265926i
\(540\) −3.77176 + 3.57404i −0.162311 + 0.153802i
\(541\) 24.6729 10.9851i 1.06077 0.472286i 0.199219 0.979955i \(-0.436159\pi\)
0.861552 + 0.507669i \(0.169493\pi\)
\(542\) 2.99062 9.20418i 0.128458 0.395353i
\(543\) −28.0051 + 11.5921i −1.20182 + 0.497466i
\(544\) 2.78688 + 6.25944i 0.119487 + 0.268371i
\(545\) −2.20045 10.3523i −0.0942568 0.443443i
\(546\) 34.9584 18.9699i 1.49608 0.811835i
\(547\) −6.60600 2.94118i −0.282452 0.125756i 0.260621 0.965441i \(-0.416073\pi\)
−0.543073 + 0.839685i \(0.682739\pi\)
\(548\) −11.3224 + 12.5748i −0.483670 + 0.537170i
\(549\) −5.78607 + 21.5520i −0.246943 + 0.919815i
\(550\) −2.40003 + 3.30336i −0.102338 + 0.140856i
\(551\) −0.0472546 0.449598i −0.00201312 0.0191535i
\(552\) −5.40732 + 1.00083i −0.230151 + 0.0425980i
\(553\) 20.2070 11.6665i 0.859287 0.496110i
\(554\) 26.0243 18.9078i 1.10567 0.803314i
\(555\) −18.5579 2.44779i −0.787741 0.103903i
\(556\) −6.52978 + 2.12165i −0.276924 + 0.0899781i
\(557\) 31.5183 1.33547 0.667737 0.744397i \(-0.267263\pi\)
0.667737 + 0.744397i \(0.267263\pi\)
\(558\) −15.0207 + 7.30615i −0.635875 + 0.309294i
\(559\) 1.17785 0.0498175
\(560\) 3.59298 1.16743i 0.151831 0.0493329i
\(561\) −48.0417 6.33669i −2.02832 0.267535i
\(562\) 21.0102 15.2648i 0.886264 0.643908i
\(563\) 1.09405 0.631649i 0.0461086 0.0266208i −0.476768 0.879029i \(-0.658192\pi\)
0.522877 + 0.852408i \(0.324859\pi\)
\(564\) −8.35541 + 1.54648i −0.351826 + 0.0651186i
\(565\) 0.0507220 + 0.482588i 0.00213389 + 0.0203026i
\(566\) −4.97065 + 6.84152i −0.208932 + 0.287570i
\(567\) −13.8596 + 31.0480i −0.582050 + 1.30389i
\(568\) 2.04465 2.27081i 0.0857914 0.0952811i
\(569\) −2.09538 0.932923i −0.0878429 0.0391102i 0.362345 0.932044i \(-0.381976\pi\)
−0.450188 + 0.892934i \(0.648643\pi\)
\(570\) −0.296811 + 0.161062i −0.0124321 + 0.00674614i
\(571\) −1.50969 7.10253i −0.0631785 0.297231i 0.935202 0.354114i \(-0.115217\pi\)
−0.998381 + 0.0568822i \(0.981884\pi\)
\(572\) −10.0948 22.6733i −0.422085 0.948018i
\(573\) 18.2310 7.54635i 0.761612 0.315253i
\(574\) −13.2607 + 40.8122i −0.553491 + 1.70347i
\(575\) 2.90045 1.29136i 0.120957 0.0538536i
\(576\) −0.155551 2.99596i −0.00648129 0.124832i
\(577\) −26.5290 5.63891i −1.10442 0.234751i −0.380598 0.924741i \(-0.624282\pi\)
−0.723819 + 0.689990i \(0.757615\pi\)
\(578\) 12.1807 27.3582i 0.506649 1.13795i
\(579\) 0.984510 37.2508i 0.0409148 1.54809i
\(580\) −2.30601 0.242371i −0.0957517 0.0100639i
\(581\) 40.9912 + 29.7819i 1.70060 + 1.23556i
\(582\) −15.4933 + 16.3185i −0.642216 + 0.676425i
\(583\) −6.82320 + 11.8181i −0.282588 + 0.489457i
\(584\) 2.57190 + 4.45465i 0.106426 + 0.184335i
\(585\) 8.27066 + 16.2516i 0.341950 + 0.671921i
\(586\) 5.85675 + 6.50458i 0.241940 + 0.268702i
\(587\) −1.88101 5.78914i −0.0776375 0.238944i 0.904704 0.426041i \(-0.140092\pi\)
−0.982341 + 0.187097i \(0.940092\pi\)
\(588\) 9.58020 8.17823i 0.395081 0.337265i
\(589\) −1.06571 + 0.206507i −0.0439120 + 0.00850896i
\(590\) 11.2150i 0.461713i
\(591\) −4.86544 2.98317i −0.200138 0.122711i
\(592\) 8.03134 7.23145i 0.330086 0.297211i
\(593\) 12.9128 + 17.7730i 0.530266 + 0.729849i 0.987171 0.159667i \(-0.0510420\pi\)
−0.456905 + 0.889516i \(0.651042\pi\)
\(594\) 18.6383 + 10.1374i 0.764738 + 0.415941i
\(595\) −22.4174 12.9427i −0.919023 0.530598i
\(596\) −3.79643 + 0.399021i −0.155508 + 0.0163445i
\(597\) −0.0103249 0.131599i −0.000422568 0.00538598i
\(598\) −2.01724 + 19.1927i −0.0824910 + 0.784849i
\(599\) −5.43492 4.89363i −0.222065 0.199948i 0.550587 0.834777i \(-0.314404\pi\)
−0.772652 + 0.634829i \(0.781070\pi\)
\(600\) 0.491525 + 1.66084i 0.0200664 + 0.0678037i
\(601\) 4.38550 20.6321i 0.178888 0.841602i −0.793562 0.608490i \(-0.791776\pi\)
0.972450 0.233113i \(-0.0748910\pi\)
\(602\) 0.716069 0.152205i 0.0291848 0.00620342i
\(603\) −7.59895 28.4149i −0.309453 1.15714i
\(604\) 3.76373 + 1.22291i 0.153144 + 0.0497596i
\(605\) 5.39467 + 1.75284i 0.219325 + 0.0712629i
\(606\) −7.78695 + 16.3155i −0.316323 + 0.662770i
\(607\) 8.16587 1.73571i 0.331442 0.0704503i −0.0391847 0.999232i \(-0.512476\pi\)
0.370627 + 0.928782i \(0.379143\pi\)
\(608\) 0.0405362 0.190708i 0.00164396 0.00773422i
\(609\) −14.5487 + 4.30567i −0.589542 + 0.174474i
\(610\) 5.52779 + 4.97725i 0.223814 + 0.201523i
\(611\) −3.11704 + 29.6567i −0.126102 + 1.19978i
\(612\) −14.5420 + 14.5278i −0.587824 + 0.587252i
\(613\) 28.6072 3.00674i 1.15544 0.121441i 0.492634 0.870237i \(-0.336034\pi\)
0.662801 + 0.748795i \(0.269367\pi\)
\(614\) 5.00671 + 2.89062i 0.202054 + 0.116656i
\(615\) −18.5441 6.57188i −0.747769 0.265004i
\(616\) −9.06703 12.4797i −0.365321 0.502821i
\(617\) −27.2062 + 24.4966i −1.09528 + 0.986196i −0.999957 0.00925034i \(-0.997055\pi\)
−0.0953243 + 0.995446i \(0.530389\pi\)
\(618\) −8.73910 + 14.2531i −0.351538 + 0.573345i
\(619\) 30.5542i 1.22808i −0.789276 0.614038i \(-0.789544\pi\)
0.789276 0.614038i \(-0.210456\pi\)
\(620\) −0.100428 + 5.56686i −0.00403328 + 0.223570i
\(621\) −8.60965 14.0727i −0.345493 0.564718i
\(622\) 7.22015 + 22.2213i 0.289502 + 0.890995i
\(623\) −14.6686 16.2911i −0.587685 0.652690i
\(624\) −10.2365 2.46021i −0.409790 0.0984872i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −2.75493 + 4.77168i −0.110109 + 0.190715i
\(627\) 0.999963 + 0.949392i 0.0399347 + 0.0379151i
\(628\) −13.7445 9.98600i −0.548467 0.398485i
\(629\) −73.6435 7.74024i −2.93636 0.308624i
\(630\) 7.12821 + 8.81137i 0.283995 + 0.351053i
\(631\) 8.15980 18.3272i 0.324836 0.729595i −0.675131 0.737698i \(-0.735913\pi\)
0.999967 + 0.00810345i \(0.00257944\pi\)
\(632\) −6.04124 1.28410i −0.240308 0.0510790i
\(633\) −2.01116 + 2.61968i −0.0799364 + 0.104123i
\(634\) 11.6288 5.17749i 0.461840 0.205624i
\(635\) −4.89295 + 15.0589i −0.194171 + 0.597596i
\(636\) 2.21394 + 5.34860i 0.0877884 + 0.212086i
\(637\) −17.9795 40.3827i −0.712375 1.60002i
\(638\) 1.96844 + 9.26079i 0.0779314 + 0.366638i
\(639\) 8.55656 + 3.28933i 0.338492 + 0.130124i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −16.7323 + 18.5831i −0.660887 + 0.733989i −0.976647 0.214850i \(-0.931074\pi\)
0.315760 + 0.948839i \(0.397740\pi\)
\(642\) −11.6749 16.9960i −0.460773 0.670778i
\(643\) 14.1651 19.4966i 0.558616 0.768869i −0.432534 0.901618i \(-0.642380\pi\)
0.991150 + 0.132749i \(0.0423803\pi\)
\(644\) 1.25377 + 11.9289i 0.0494056 + 0.470063i
\(645\) 0.0610837 + 0.330026i 0.00240517 + 0.0129948i
\(646\) −1.15691 + 0.667943i −0.0455180 + 0.0262799i
\(647\) −14.2925 + 10.3841i −0.561895 + 0.408241i −0.832152 0.554548i \(-0.812891\pi\)
0.270257 + 0.962788i \(0.412891\pi\)
\(648\) 8.22547 3.65263i 0.323127 0.143489i
\(649\) 43.5514 14.1507i 1.70954 0.555464i
\(650\) 6.07836 0.238413
\(651\) 13.3245 + 33.9086i 0.522229 + 1.32898i
\(652\) 10.0842 0.394929
\(653\) 5.75041 1.86842i 0.225031 0.0731169i −0.194331 0.980936i \(-0.562254\pi\)
0.419362 + 0.907819i \(0.362254\pi\)
\(654\) −2.39713 + 18.1739i −0.0937352 + 0.710654i
\(655\) −3.08990 + 2.24495i −0.120732 + 0.0877173i
\(656\) 9.83708 5.67944i 0.384073 0.221745i
\(657\) −9.71711 + 11.9877i −0.379100 + 0.467685i
\(658\) 1.93733 + 18.4325i 0.0755251 + 0.718574i
\(659\) 6.02205 8.28864i 0.234586 0.322880i −0.675453 0.737403i \(-0.736052\pi\)
0.910039 + 0.414524i \(0.136052\pi\)
\(660\) 5.82941 4.00436i 0.226909 0.155869i
\(661\) −12.3972 + 13.7685i −0.482195 + 0.535531i −0.934326 0.356420i \(-0.883997\pi\)
0.452131 + 0.891951i \(0.350664\pi\)
\(662\) 18.6804 + 8.31706i 0.726036 + 0.323252i
\(663\) 34.4050 + 63.4028i 1.33618 + 2.46236i
\(664\) −2.78846 13.1187i −0.108213 0.509102i
\(665\) 0.299589 + 0.672888i 0.0116176 + 0.0260935i
\(666\) 28.8808 + 14.7332i 1.11911 + 0.570900i
\(667\) 2.27491 7.00145i 0.0880849 0.271097i
\(668\) −9.44282 + 4.20421i −0.365353 + 0.162666i
\(669\) −24.9609 19.1628i −0.965044 0.740878i
\(670\) −9.59023 2.03847i −0.370503 0.0787529i
\(671\) 12.3535 27.7464i 0.476901 1.07114i
\(672\) −6.54120 0.172879i −0.252332 0.00666895i
\(673\) 28.3449 + 2.97917i 1.09261 + 0.114838i 0.633653 0.773618i \(-0.281555\pi\)
0.458962 + 0.888456i \(0.348222\pi\)
\(674\) 13.1624 + 9.56303i 0.506996 + 0.368354i
\(675\) −4.12469 + 3.16021i −0.158759 + 0.121637i
\(676\) −11.9733 + 20.7383i −0.460510 + 0.797626i
\(677\) 6.01713 + 10.4220i 0.231257 + 0.400549i 0.958178 0.286172i \(-0.0923828\pi\)
−0.726921 + 0.686721i \(0.759049\pi\)
\(678\) 0.196403 0.817201i 0.00754280 0.0313844i
\(679\) 32.8411 + 36.4738i 1.26033 + 1.39974i
\(680\) 2.11733 + 6.51646i 0.0811958 + 0.249895i
\(681\) 14.0805 + 16.4942i 0.539564 + 0.632060i
\(682\) 21.7447 6.63410i 0.832646 0.254033i
\(683\) 20.8488i 0.797758i 0.917003 + 0.398879i \(0.130601\pi\)
−0.917003 + 0.398879i \(0.869399\pi\)
\(684\) 0.577748 0.0912183i 0.0220907 0.00348782i
\(685\) −12.5748 + 11.3224i −0.480460 + 0.432608i
\(686\) −0.604903 0.832578i −0.0230953 0.0317880i
\(687\) −9.25477 + 26.1145i −0.353091 + 0.996330i
\(688\) −0.167816 0.0968884i −0.00639791 0.00369383i
\(689\) 20.2033 2.12345i 0.769683 0.0808969i
\(690\) −5.48231 + 0.430126i −0.208708 + 0.0163746i
\(691\) 0.706793 6.72469i 0.0268877 0.255819i −0.972818 0.231570i \(-0.925614\pi\)
0.999706 0.0242493i \(-0.00771954\pi\)
\(692\) 1.11204 + 1.00128i 0.0422733 + 0.0380630i
\(693\) 25.2233 38.7991i 0.958153 1.47386i
\(694\) 4.27272 20.1016i 0.162190 0.763046i
\(695\) −6.71578 + 1.42748i −0.254744 + 0.0541475i
\(696\) 3.62447 + 1.72987i 0.137385 + 0.0655704i
\(697\) −74.0197 24.0505i −2.80370 0.910976i
\(698\) 21.9239 + 7.12351i 0.829832 + 0.269629i
\(699\) 16.4345 + 7.84376i 0.621610 + 0.296678i
\(700\) 3.69533 0.785466i 0.139670 0.0296878i
\(701\) 4.20247 19.7711i 0.158725 0.746743i −0.824721 0.565540i \(-0.808668\pi\)
0.983446 0.181203i \(-0.0579990\pi\)
\(702\) −4.09971 31.3169i −0.154734 1.18198i
\(703\) 1.56586 + 1.40990i 0.0590574 + 0.0531755i
\(704\) −0.426808 + 4.06080i −0.0160859 + 0.153047i
\(705\) −8.47129 + 0.664632i −0.319047 + 0.0250315i
\(706\) 10.2873 1.08124i 0.387167 0.0406928i
\(707\) 34.1492 + 19.7160i 1.28431 + 0.741498i
\(708\) 6.48862 18.3091i 0.243857 0.688100i
\(709\) −9.12653 12.5616i −0.342754 0.471760i 0.602489 0.798127i \(-0.294176\pi\)
−0.945243 + 0.326367i \(0.894176\pi\)
\(710\) 2.27081 2.04465i 0.0852220 0.0767342i
\(711\) −2.88961 18.3019i −0.108369 0.686375i
\(712\) 5.80268i 0.217465i
\(713\) −17.2219 3.98661i −0.644966 0.149300i
\(714\) 29.1095 + 34.0997i 1.08940 + 1.27615i
\(715\) −7.66949 23.6043i −0.286823 0.882750i
\(716\) −10.0080 11.1150i −0.374017 0.415387i
\(717\) −8.16706 + 33.9819i −0.305005 + 1.26908i
\(718\) −7.25183 12.5605i −0.270636 0.468755i
\(719\) 19.8713 34.4182i 0.741076 1.28358i −0.210930 0.977501i \(-0.567649\pi\)
0.952006 0.306080i \(-0.0990175\pi\)
\(720\) 0.158465 2.99581i 0.00590563 0.111647i
\(721\) 29.5022 + 21.4346i 1.09872 + 0.798267i
\(722\) −18.8581 1.98207i −0.701826 0.0737649i
\(723\) −18.6387 0.492607i −0.693181 0.0183202i
\(724\) 7.11756 15.9863i 0.264522 0.594126i
\(725\) −2.26804 0.482087i −0.0842328 0.0179042i
\(726\) −7.79301 5.98280i −0.289226 0.222042i
\(727\) −3.78705 + 1.68610i −0.140454 + 0.0625340i −0.475760 0.879575i \(-0.657827\pi\)
0.335306 + 0.942109i \(0.391160\pi\)
\(728\) −7.09607 + 21.8394i −0.262998 + 0.809424i
\(729\) 19.0640 + 19.1197i 0.706074 + 0.708138i
\(730\) 2.09217 + 4.69909i 0.0774346 + 0.173921i
\(731\) 0.276049 + 1.29871i 0.0102100 + 0.0480344i
\(732\) −6.14480 11.3239i −0.227118 0.418542i
\(733\) 22.8799 + 10.1868i 0.845088 + 0.376257i 0.783158 0.621823i \(-0.213608\pi\)
0.0619303 + 0.998080i \(0.480274\pi\)
\(734\) −14.3875 + 15.9789i −0.531051 + 0.589792i
\(735\) 10.3826 7.13203i 0.382967 0.263069i
\(736\) 1.86618 2.56858i 0.0687884 0.0946792i
\(737\) 4.18463 + 39.8141i 0.154143 + 1.46657i
\(738\) 26.4721 + 21.4580i 0.974451 + 0.789880i
\(739\) −10.0653 + 5.81119i −0.370257 + 0.213768i −0.673571 0.739123i \(-0.735240\pi\)
0.303314 + 0.952891i \(0.401907\pi\)
\(740\) 8.74324 6.35233i 0.321408 0.233516i
\(741\) 0.268417 2.03501i 0.00986055 0.0747578i
\(742\) 12.0081 3.90168i 0.440832 0.143235i
\(743\) 13.7011 0.502645 0.251323 0.967903i \(-0.419134\pi\)
0.251323 + 0.967903i \(0.419134\pi\)
\(744\) 3.38476 9.03014i 0.124091 0.331061i
\(745\) −3.81734 −0.139857
\(746\) −20.6053 + 6.69507i −0.754414 + 0.245124i
\(747\) 33.7547 21.8972i 1.23502 0.801178i
\(748\) 22.6340 16.4445i 0.827580 0.601272i
\(749\) −38.9492 + 22.4873i −1.42317 + 0.821670i
\(750\) 0.315227 + 1.70312i 0.0115105 + 0.0621893i
\(751\) −3.15257 29.9947i −0.115039 1.09452i −0.887929 0.459981i \(-0.847856\pi\)
0.772890 0.634540i \(-0.218810\pi\)
\(752\) 2.88363 3.96898i 0.105155 0.144734i
\(753\) −26.0563 37.9320i −0.949546 1.38232i
\(754\) 9.43069 10.4738i 0.343446 0.381435i
\(755\) 3.61529 + 1.60963i 0.131574 + 0.0585804i
\(756\) −6.53928 18.5093i −0.237831 0.673175i
\(757\) 2.50848 + 11.8015i 0.0911724 + 0.428932i 0.999933 + 0.0116136i \(0.00369681\pi\)
−0.908760 + 0.417319i \(0.862970\pi\)
\(758\) 7.49292 + 16.8294i 0.272155 + 0.611270i
\(759\) 8.58774 + 20.7469i 0.311715 + 0.753065i
\(760\) 0.0602485 0.185426i 0.00218544 0.00672610i
\(761\) −18.7679 + 8.35601i −0.680336 + 0.302905i −0.717656 0.696398i \(-0.754785\pi\)
0.0373193 + 0.999303i \(0.488118\pi\)
\(762\) 16.7007 21.7538i 0.605001 0.788056i
\(763\) 39.1097 + 8.31303i 1.41587 + 0.300952i
\(764\) −4.63345 + 10.4069i −0.167632 + 0.376509i
\(765\) −15.9809 + 12.9282i −0.577789 + 0.467419i
\(766\) 15.7238 + 1.65264i 0.568126 + 0.0597124i
\(767\) −55.1496 40.0685i −1.99134 1.44679i
\(768\) 1.25610 + 1.19257i 0.0453254 + 0.0430332i
\(769\) −1.01455 + 1.75725i −0.0365855 + 0.0633680i −0.883738 0.467981i \(-0.844981\pi\)
0.847153 + 0.531349i \(0.178315\pi\)
\(770\) −7.71288 13.3591i −0.277953 0.481428i
\(771\) 19.1882 + 4.61162i 0.691047 + 0.166084i
\(772\) 14.3958 + 15.9882i 0.518118 + 0.575428i
\(773\) −5.59205 17.2106i −0.201132 0.619021i −0.999850