Properties

Label 930.2.br.b.11.6
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 11.6
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.0457608 + 1.73145i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.578567 - 1.63256i) q^{6} +(0.394896 + 3.75719i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.99581 + 0.158465i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.0457608 + 1.73145i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.578567 - 1.63256i) q^{6} +(0.394896 + 3.75719i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-2.99581 + 0.158465i) q^{9} +(0.669131 - 0.743145i) q^{10} +(3.73016 + 1.66078i) q^{11} +(1.05474 + 1.37387i) q^{12} +(1.26376 + 5.94554i) q^{13} +(-1.53660 - 3.45127i) q^{14} +(-0.905353 - 1.47660i) q^{15} +(0.309017 - 0.951057i) q^{16} +(6.25944 - 2.78688i) q^{17} +(2.80022 - 1.07647i) q^{18} +(0.190708 + 0.0405362i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(-6.48730 + 0.855674i) q^{21} +(-4.06080 - 0.426808i) q^{22} +(-2.56858 - 1.86618i) q^{23} +(-1.42767 - 0.980697i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-3.03918 - 5.26402i) q^{26} +(-0.411464 - 5.17984i) 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} +(-2.70485 + 6.53458i) q^{33} +(-5.09189 + 4.58476i) q^{34} +(-2.22058 - 3.05637i) q^{35} +(-2.33052 + 1.88909i) q^{36} +(9.35934 + 5.40362i) q^{37} +(-0.193900 + 0.0203797i) q^{38} +(-10.2365 + 2.46021i) q^{39} +(0.104528 - 0.994522i) q^{40} +(-8.44129 - 7.60057i) q^{41} +(5.90537 - 2.81848i) q^{42} +(0.0402884 - 0.189542i) q^{43} +(3.99395 - 0.848939i) q^{44} +(2.51522 - 1.63514i) q^{45} +(3.01955 + 0.981111i) q^{46} +(-4.66582 - 1.51602i) q^{47} +(1.66084 + 0.491525i) q^{48} +(-7.11349 + 1.51202i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(5.11177 + 10.7104i) q^{51} +(4.51710 + 4.06722i) q^{52} +(-0.349345 + 3.32380i) q^{53} +(1.99198 + 4.79917i) q^{54} +(-4.06080 + 0.426808i) q^{55} +(-3.27174 - 1.88894i) q^{56} +(-0.0614593 + 0.332055i) q^{57} +(-1.36290 - 1.87587i) q^{58} +(8.33435 - 7.50428i) q^{59} +(-1.60037 - 0.662438i) 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} +(0.553169 - 7.05059i) q^{66} +(-4.90224 - 8.49093i) q^{67} +(3.42591 - 5.93384i) q^{68} +(3.11366 - 4.53276i) q^{69} +(3.05637 + 2.22058i) q^{70} +(-3.03894 - 0.319405i) q^{71} +(1.63269 - 2.51681i) q^{72} +(-2.09217 + 4.69909i) q^{73} +(-10.5711 - 2.24695i) q^{74} +(1.52236 + 0.826093i) q^{75} +(0.178112 - 0.0793007i) q^{76} +(-4.76682 + 14.6708i) q^{77} +(8.97529 - 5.50307i) q^{78} +(-2.51209 - 5.64224i) q^{79} +(0.207912 + 0.978148i) q^{80} +(8.94978 - 0.949461i) q^{81} +(10.3769 + 4.62007i) q^{82} +(-8.97420 + 9.96686i) q^{83} +(-4.74538 + 4.50539i) q^{84} +(-4.02739 + 5.54323i) q^{85} +(0.0202552 + 0.192715i) q^{86} +(-3.78544 + 1.34153i) q^{87} +(-3.53613 + 2.04159i) q^{88} +(4.69447 - 3.41073i) q^{89} +(-1.88683 + 2.33236i) q^{90} +(-21.8394 + 7.09607i) q^{91} -3.17494 q^{92} +(-3.99616 - 8.77672i) q^{93} +4.90593 q^{94} +(-0.185426 + 0.0602485i) q^{95} +(-1.73145 + 0.0457608i) q^{96} +(10.5103 - 7.63620i) q^{97} +(6.29809 - 3.63620i) q^{98} +(-11.4380 - 4.38427i) 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
\(3\) 0.0457608 + 1.73145i 0.0264200 + 0.999651i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.578567 1.63256i −0.236199 0.666491i
\(7\) 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
\(9\) −2.99581 + 0.158465i −0.998604 + 0.0528216i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 3.73016 + 1.66078i 1.12469 + 0.500743i 0.882888 0.469584i \(-0.155596\pi\)
0.241799 + 0.970326i \(0.422263\pi\)
\(12\) 1.05474 + 1.37387i 0.304477 + 0.396603i
\(13\) 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
\(15\) −0.905353 1.47660i −0.233761 0.381255i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 6.25944 2.78688i 1.51814 0.675918i 0.532754 0.846270i \(-0.321157\pi\)
0.985383 + 0.170352i \(0.0544904\pi\)
\(18\) 2.80022 1.07647i 0.660018 0.253725i
\(19\) 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
\(21\) −6.48730 + 0.855674i −1.41564 + 0.186723i
\(22\) −4.06080 0.426808i −0.865766 0.0909957i
\(23\) −2.56858 1.86618i −0.535586 0.389126i 0.286857 0.957973i \(-0.407390\pi\)
−0.822443 + 0.568847i \(0.807390\pi\)
\(24\) −1.42767 0.980697i −0.291421 0.200184i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −3.03918 5.26402i −0.596033 1.03236i
\(27\) −0.411464 5.17984i −0.0791863 0.996860i
\(28\) 2.52790 + 2.80751i 0.477728 + 0.530570i
\(29\) 0.716520 + 2.20522i 0.133054 + 0.409500i 0.995282 0.0970211i \(-0.0309314\pi\)
−0.862228 + 0.506521i \(0.830931\pi\)
\(30\) 1.31734 + 1.12456i 0.240511 + 0.205315i
\(31\) −5.12643 + 2.17250i −0.920733 + 0.390193i
\(32\) 1.00000i 0.176777i
\(33\) −2.70485 + 6.53458i −0.470854 + 1.13752i
\(34\) −5.09189 + 4.58476i −0.873252 + 0.786279i
\(35\) −2.22058 3.05637i −0.375347 0.516621i
\(36\) −2.33052 + 1.88909i −0.388420 + 0.314849i
\(37\) 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
\(39\) −10.2365 + 2.46021i −1.63916 + 0.393949i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) −8.44129 7.60057i −1.31831 1.18701i −0.968165 0.250314i \(-0.919466\pi\)
−0.350144 0.936696i \(-0.613867\pi\)
\(42\) 5.90537 2.81848i 0.911218 0.434901i
\(43\) 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
\(45\) 2.51522 1.63514i 0.374946 0.243752i
\(46\) 3.01955 + 0.981111i 0.445208 + 0.144657i
\(47\) −4.66582 1.51602i −0.680579 0.221134i −0.0517303 0.998661i \(-0.516474\pi\)
−0.628849 + 0.777527i \(0.716474\pi\)
\(48\) 1.66084 + 0.491525i 0.239722 + 0.0709455i
\(49\) −7.11349 + 1.51202i −1.01621 + 0.216003i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 5.11177 + 10.7104i 0.715792 + 1.49975i
\(52\) 4.51710 + 4.06722i 0.626410 + 0.564022i
\(53\) −0.349345 + 3.32380i −0.0479863 + 0.456559i 0.943975 + 0.330017i \(0.107054\pi\)
−0.991961 + 0.126542i \(0.959612\pi\)
\(54\) 1.99198 + 4.79917i 0.271075 + 0.653084i
\(55\) −4.06080 + 0.426808i −0.547559 + 0.0575507i
\(56\) −3.27174 1.88894i −0.437205 0.252420i
\(57\) −0.0614593 + 0.332055i −0.00814048 + 0.0439818i
\(58\) −1.36290 1.87587i −0.178958 0.246314i
\(59\) 8.33435 7.50428i 1.08504 0.976974i 0.0852275 0.996362i \(-0.472838\pi\)
0.999812 + 0.0193875i \(0.00617163\pi\)
\(60\) −1.60037 0.662438i −0.206607 0.0855204i
\(61\) 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
\(66\) 0.553169 7.05059i 0.0680904 0.867868i
\(67\) −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
\(69\) 3.11366 4.53276i 0.374840 0.545680i
\(70\) 3.05637 + 2.22058i 0.365306 + 0.265411i
\(71\) −3.03894 0.319405i −0.360655 0.0379064i −0.0775319 0.996990i \(-0.524704\pi\)
−0.283123 + 0.959083i \(0.591371\pi\)
\(72\) 1.63269 2.51681i 0.192415 0.296608i
\(73\) −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
\(75\) 1.52236 + 0.826093i 0.175787 + 0.0953890i
\(76\) 0.178112 0.0793007i 0.0204309 0.00909642i
\(77\) −4.76682 + 14.6708i −0.543229 + 1.67189i
\(78\) 8.97529 5.50307i 1.01625 0.623099i
\(79\) −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
\(81\) 8.94978 0.949461i 0.994420 0.105496i
\(82\) 10.3769 + 4.62007i 1.14593 + 0.510202i
\(83\) −8.97420 + 9.96686i −0.985046 + 1.09400i 0.0105201 + 0.999945i \(0.496651\pi\)
−0.995567 + 0.0940602i \(0.970015\pi\)
\(84\) −4.74538 + 4.50539i −0.517764 + 0.491579i
\(85\) −4.02739 + 5.54323i −0.436832 + 0.601248i
\(86\) 0.0202552 + 0.192715i 0.00218417 + 0.0207810i
\(87\) −3.78544 + 1.34153i −0.405841 + 0.143827i
\(88\) −3.53613 + 2.04159i −0.376953 + 0.217634i
\(89\) 4.69447 3.41073i 0.497613 0.361537i −0.310492 0.950576i \(-0.600494\pi\)
0.808104 + 0.589039i \(0.200494\pi\)
\(90\) −1.88683 + 2.33236i −0.198889 + 0.245852i
\(91\) −21.8394 + 7.09607i −2.28940 + 0.743870i
\(92\) −3.17494 −0.331011
\(93\) −3.99616 8.77672i −0.414382 0.910103i
\(94\) 4.90593 0.506008
\(95\) −0.185426 + 0.0602485i −0.0190243 + 0.00618137i
\(96\) −1.73145 + 0.0457608i −0.176715 + 0.00467044i
\(97\) 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
\(99\) −11.4380 4.38427i −1.14957 0.440636i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −6.13507 + 8.44420i −0.610462 + 0.840229i −0.996615 0.0822054i \(-0.973804\pi\)
0.386153 + 0.922435i \(0.373804\pi\)
\(102\) −8.17127 8.60653i −0.809076 0.852173i
\(103\) 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
\(105\) 5.19033 3.98468i 0.506524 0.388865i
\(106\) −0.694863 3.26907i −0.0674911 0.317521i
\(107\) −4.84209 10.8755i −0.468103 1.05138i −0.981191 0.193040i \(-0.938165\pi\)
0.513088 0.858336i \(-0.328501\pi\)
\(108\) −3.37751 3.94872i −0.325001 0.379966i
\(109\) 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
\(111\) −8.92778 + 16.4525i −0.847388 + 1.56160i
\(112\) 3.69533 + 0.785466i 0.349176 + 0.0742196i
\(113\) 0.197367 0.443294i 0.0185668 0.0417016i −0.904024 0.427481i \(-0.859401\pi\)
0.922591 + 0.385780i \(0.126068\pi\)
\(114\) −0.0441594 0.334795i −0.00413591 0.0313564i
\(115\) 3.15755 + 0.331872i 0.294443 + 0.0309472i
\(116\) 1.87587 + 1.36290i 0.174171 + 0.126542i
\(117\) −4.72815 17.6114i −0.437118 1.62818i
\(118\) −5.60748 + 9.71245i −0.516211 + 0.894103i
\(119\) 12.9427 + 22.4174i 1.18645 + 2.05500i
\(120\) 1.72674 + 0.135475i 0.157629 + 0.0123671i
\(121\) 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
\(126\) 5.15028 + 10.0959i 0.458823 + 0.899410i
\(127\) −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
\(129\) 0.330026 + 0.0610837i 0.0290572 + 0.00537812i
\(130\) 5.26402 + 3.03918i 0.461685 + 0.266554i
\(131\) 3.79841 0.399229i 0.331868 0.0348808i 0.0628709 0.998022i \(-0.479974\pi\)
0.268997 + 0.963141i \(0.413308\pi\)
\(132\) 1.65266 + 6.87645i 0.143845 + 0.598518i
\(133\) −0.0769923 + 0.732532i −0.00667607 + 0.0635186i
\(134\) 7.28615 + 6.56048i 0.629428 + 0.566739i
\(135\) 2.94626 + 4.28014i 0.253573 + 0.368376i
\(136\) −1.42457 + 6.70208i −0.122156 + 0.574699i
\(137\) 16.5513 3.51810i 1.41408 0.300571i 0.563367 0.826207i \(-0.309506\pi\)
0.850710 + 0.525636i \(0.176173\pi\)
\(138\) −1.56056 + 5.27308i −0.132844 + 0.448875i
\(139\) −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
\(141\) 2.41139 8.14798i 0.203075 0.686184i
\(142\) 2.98890 0.635311i 0.250823 0.0533141i
\(143\) −5.16016 + 24.2767i −0.431514 + 2.03012i
\(144\) −0.775048 + 2.89815i −0.0645873 + 0.241513i
\(145\) −1.72314 1.55152i −0.143099 0.128847i
\(146\) 0.537672 5.11561i 0.0444981 0.423371i
\(147\) −2.94350 12.2474i −0.242776 1.01015i
\(148\) 10.7480 1.12966i 0.883483 0.0928578i
\(149\) 3.30591 + 1.90867i 0.270831 + 0.156364i 0.629265 0.777191i \(-0.283356\pi\)
−0.358434 + 0.933555i \(0.616689\pi\)
\(150\) −1.70312 0.315227i −0.139060 0.0257382i
\(151\) 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
\(153\) −18.3105 + 9.34088i −1.48032 + 0.755165i
\(154\) 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
\(159\) −5.77097 0.452773i −0.457667 0.0359072i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 5.99728 10.3876i 0.472652 0.818657i
\(162\) −8.21834 + 3.66862i −0.645694 + 0.288234i
\(163\) 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
\(165\) −0.924820 7.01153i −0.0719972 0.545847i
\(166\) 5.45504 12.2522i 0.423393 0.950957i
\(167\) 10.1106 + 2.14907i 0.782380 + 0.166300i 0.581750 0.813367i \(-0.302368\pi\)
0.200629 + 0.979667i \(0.435701\pi\)
\(168\) 3.12088 5.75129i 0.240781 0.443721i
\(169\) −21.8762 + 9.73992i −1.68279 + 0.749225i
\(170\) 2.11733 6.51646i 0.162392 0.499790i
\(171\) −0.577748 0.0912183i −0.0441815 0.00697564i
\(172\) −0.0788161 0.177024i −0.00600967 0.0134979i
\(173\) −0.311118 1.46369i −0.0236538 0.111283i 0.964737 0.263216i \(-0.0847833\pi\)
−0.988391 + 0.151934i \(0.951450\pi\)
\(174\) 3.18561 2.44563i 0.241500 0.185403i
\(175\) 3.45127 + 1.53660i 0.260891 + 0.116156i
\(176\) 2.73218 3.03439i 0.205945 0.228726i
\(177\) 13.3746 + 14.0871i 1.00530 + 1.05885i
\(178\) −3.41073 + 4.69447i −0.255645 + 0.351865i
\(179\) 1.56340 + 14.8748i 0.116854 + 1.11179i 0.883080 + 0.469222i \(0.155466\pi\)
−0.766226 + 0.642571i \(0.777868\pi\)
\(180\) 1.07374 2.80126i 0.0800320 0.208794i
\(181\) 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
\(183\) −12.8792 + 0.340386i −0.952055 + 0.0251621i
\(184\) 3.01955 0.981111i 0.222604 0.0723285i
\(185\) −10.8072 −0.794564
\(186\) 6.51272 + 7.11227i 0.477536 + 0.521497i
\(187\) 27.9771 2.04589
\(188\) −4.66582 + 1.51602i −0.340290 + 0.110567i
\(189\) 19.2991 3.59145i 1.40381 0.261239i
\(190\) 0.157733 0.114599i 0.0114431 0.00831392i
\(191\) 9.86557 5.69589i 0.713848 0.412140i −0.0986365 0.995124i \(-0.531448\pi\)
0.812484 + 0.582983i \(0.198115\pi\)
\(192\) 1.63256 0.578567i 0.117820 0.0417545i
\(193\) 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
\(195\) 7.63500 7.24888i 0.546754 0.519103i
\(196\) −4.86619 + 5.40445i −0.347585 + 0.386032i
\(197\) −3.01017 1.34021i −0.214466 0.0954862i 0.296692 0.954973i \(-0.404117\pi\)
−0.511158 + 0.859487i \(0.670783\pi\)
\(198\) 12.2330 + 0.635141i 0.869364 + 0.0451375i
\(199\) 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
\(201\) 14.4773 8.87652i 1.02115 0.626102i
\(202\) 3.22540 9.92675i 0.226938 0.698444i
\(203\) −8.00248 + 3.56294i −0.561664 + 0.250069i
\(204\) 10.4309 + 5.66023i 0.730309 + 0.396296i
\(205\) 11.1107 + 2.36164i 0.776002 + 0.164944i
\(206\) −3.92611 + 8.81818i −0.273545 + 0.614392i
\(207\) 7.99071 + 5.18371i 0.555393 + 0.360292i
\(208\) 6.04507 + 0.635362i 0.419150 + 0.0440544i
\(209\) 0.644049 + 0.467929i 0.0445498 + 0.0323673i
\(210\) −3.70496 + 5.39356i −0.255667 + 0.372191i
\(211\) 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
\(213\) 0.413969 5.27637i 0.0283647 0.361531i
\(214\) 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
\(219\) −8.23195 3.40744i −0.556264 0.230254i
\(220\) −3.03439 + 2.73218i −0.204578 + 0.184203i
\(221\) 24.4800 + 33.6938i 1.64670 + 2.26649i
\(222\) 3.40673 18.4061i 0.228645 1.23533i
\(223\) 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
\(225\) −1.36067 + 2.67368i −0.0907114 + 0.178245i
\(226\) −0.0507220 + 0.482588i −0.00337398 + 0.0321013i
\(227\) 9.30484 + 8.37812i 0.617584 + 0.556075i 0.917422 0.397915i \(-0.130266\pi\)
−0.299838 + 0.953990i \(0.596933\pi\)
\(228\) 0.145456 + 0.304763i 0.00963303 + 0.0201834i
\(229\) 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
\(231\) −25.6198 7.58214i −1.68566 0.498869i
\(232\) −2.20522 0.716520i −0.144780 0.0470419i
\(233\) 9.99918 + 3.24893i 0.655068 + 0.212845i 0.617648 0.786455i \(-0.288086\pi\)
0.0374207 + 0.999300i \(0.488086\pi\)
\(234\) 9.93898 + 15.2884i 0.649731 + 0.999434i
\(235\) 4.79872 1.02000i 0.313034 0.0665375i
\(236\) 2.33172 10.9699i 0.151782 0.714079i
\(237\) 9.65428 4.60774i 0.627113 0.299305i
\(238\) −19.2366 17.3207i −1.24692 1.12273i
\(239\) −2.10919 + 20.0676i −0.136432 + 1.29806i 0.685330 + 0.728233i \(0.259658\pi\)
−0.821762 + 0.569831i \(0.807009\pi\)
\(240\) −1.68410 + 0.404749i −0.108708 + 0.0261264i
\(241\) 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
\(243\) 2.05349 + 15.4526i 0.131731 + 0.991285i
\(244\) 4.37217 + 6.01778i 0.279900 + 0.385249i
\(245\) 5.40445 4.86619i 0.345278 0.310889i
\(246\) −7.52455 + 18.1784i −0.479748 + 1.15901i
\(247\) 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 \(-0.916757\pi\)
−0.156155 0.987733i \(-0.549910\pi\)
\(252\) −8.01800 8.01020i −0.505086 0.504595i
\(253\) −6.48192 11.2270i −0.407515 0.705836i
\(254\) 7.91695 13.7126i 0.496754 0.860403i
\(255\) −9.78210 6.71955i −0.612579 0.420795i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 11.3314 + 1.19098i 0.706832 + 0.0742910i 0.451122 0.892463i \(-0.351024\pi\)
0.255710 + 0.966754i \(0.417691\pi\)
\(258\) −0.332749 + 0.0438896i −0.0207161 + 0.00273244i
\(259\) −16.6064 + 37.2987i −1.03187 + 2.31763i
\(260\) −5.94554 1.26376i −0.368727 0.0783752i
\(261\) −2.49601 6.49289i −0.154499 0.401900i
\(262\) −3.48913 + 1.55346i −0.215559 + 0.0959731i
\(263\) 1.31834 4.05744i 0.0812925 0.250193i −0.902147 0.431428i \(-0.858010\pi\)
0.983440 + 0.181236i \(0.0580097\pi\)
\(264\) −3.69671 6.02920i −0.227517 0.371071i
\(265\) −1.35936 3.05317i −0.0835047 0.187555i
\(266\) −0.153141 0.720472i −0.00938967 0.0441749i
\(267\) 6.12032 + 7.97214i 0.374558 + 0.487887i
\(268\) −8.95684 3.98784i −0.547126 0.243596i
\(269\) −2.08755 + 2.31846i −0.127280 + 0.141359i −0.803416 0.595418i \(-0.796987\pi\)
0.676136 + 0.736777i \(0.263653\pi\)
\(270\) −4.12469 3.16021i −0.251021 0.192324i
\(271\) 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
\(273\) −13.2858 37.4891i −0.804096 2.26894i
\(274\) −14.6541 + 8.46055i −0.885287 + 0.511121i
\(275\) 3.30336 2.40003i 0.199200 0.144727i
\(276\) −0.145288 5.49724i −0.00874530 0.330895i
\(277\) 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
\(279\) 15.0135 7.32076i 0.898837 0.438282i
\(280\) 3.77788 0.225772
\(281\) −24.6990 + 8.02520i −1.47342 + 0.478743i −0.932140 0.362099i \(-0.882060\pi\)
−0.541280 + 0.840842i \(0.682060\pi\)
\(282\) 0.224499 + 8.49435i 0.0133687 + 0.505831i
\(283\) −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
\(285\) −0.112802 0.318298i −0.00668183 0.0188543i
\(286\) −2.59429 24.6830i −0.153404 1.45954i
\(287\) 25.2234 34.7170i 1.48889 2.04928i
\(288\) −0.158465 2.99581i −0.00933763 0.176530i
\(289\) 20.0387 22.2552i 1.17875 1.30913i
\(290\) 2.11825 + 0.943104i 0.124388 + 0.0553809i
\(291\) 13.7026 + 17.8486i 0.803263 + 1.04631i
\(292\) 1.06945 + 5.03139i 0.0625851 + 0.294440i
\(293\) −3.56007 7.99605i −0.207982 0.467135i 0.779192 0.626786i \(-0.215630\pi\)
−0.987174 + 0.159651i \(0.948963\pi\)
\(294\) 6.58410 + 10.7384i 0.383992 + 0.626277i
\(295\) −3.46562 + 10.6661i −0.201776 + 0.621003i
\(296\) −9.87290 + 4.39570i −0.573851 + 0.255495i
\(297\) 7.06772 20.0050i 0.410111 1.16081i
\(298\) −3.73392 0.793670i −0.216300 0.0459760i
\(299\) 7.84939 17.6300i 0.453942 1.01957i
\(300\) 1.71718 0.226496i 0.0991413 0.0130767i
\(301\) 0.728056 + 0.0765217i 0.0419644 + 0.00441064i
\(302\) −3.20162 2.32612i −0.184233 0.133853i
\(303\) −14.9014 10.2361i −0.856064 0.588050i
\(304\) 0.0974841 0.168847i 0.00559110 0.00968406i
\(305\) −3.71919 6.44183i −0.212960 0.368858i
\(306\) 14.5278 14.5420i 0.830500 0.831308i
\(307\) 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 \(-0.769516\pi\)
0.749105 0.662451i \(-0.230484\pi\)
\(312\) 4.02654 9.72762i 0.227958 0.550718i
\(313\) −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
\(315\) 7.13678 + 8.80443i 0.402112 + 0.496074i
\(316\) −5.34875 3.08810i −0.300891 0.173719i
\(317\) −12.6596 + 1.33058i −0.711034 + 0.0747327i −0.453138 0.891440i \(-0.649696\pi\)
−0.257895 + 0.966173i \(0.583029\pi\)
\(318\) 5.62843 1.35271i 0.315627 0.0758564i
\(319\) −0.989643 + 9.41582i −0.0554093 + 0.527185i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 18.6088 8.88149i 1.03864 0.495717i
\(322\) −2.49381 + 11.7325i −0.138975 + 0.653824i
\(323\) 1.30669 0.277746i 0.0727064 0.0154542i
\(324\) 6.68244 6.02868i 0.371247 0.334927i
\(325\) 5.78087 + 1.87832i 0.320665 + 0.104190i
\(326\) −9.59068 3.11620i −0.531179 0.172590i
\(327\) 17.5777 + 5.20209i 0.972046 + 0.287676i
\(328\) 11.1107 2.36164i 0.613484 0.130400i
\(329\) 3.85344 18.1290i 0.212447 0.999485i
\(330\) 3.04624 + 6.38258i 0.167690 + 0.351349i
\(331\) 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
\(333\) −28.8951 14.7051i −1.58344 0.805834i
\(334\) −10.2798 + 1.08045i −0.562487 + 0.0591198i
\(335\) 8.49093 + 4.90224i 0.463909 + 0.267838i
\(336\) −1.19089 + 6.43421i −0.0649684 + 0.351015i
\(337\) 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
\(339\) 0.776572 + 0.321445i 0.0421776 + 0.0174585i
\(340\) 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
\(345\) −0.430126 + 5.48231i −0.0231572 + 0.295158i
\(346\) 0.748196 + 1.29591i 0.0402233 + 0.0696688i
\(347\) −10.2753 + 17.7974i −0.551609 + 0.955415i 0.446550 + 0.894759i \(0.352653\pi\)
−0.998159 + 0.0606558i \(0.980681\pi\)
\(348\) −2.27395 + 3.31034i −0.121897 + 0.177453i
\(349\) 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
\(351\) 30.2769 8.99246i 1.61606 0.479982i
\(352\) −1.66078 + 3.73016i −0.0885196 + 0.198818i
\(353\) −10.1179 2.15063i −0.538521 0.114466i −0.0693816 0.997590i \(-0.522103\pi\)
−0.469140 + 0.883124i \(0.655436\pi\)
\(354\) −17.0732 9.26461i −0.907430 0.492408i
\(355\) 2.79150 1.24286i 0.148157 0.0659639i
\(356\) 1.79313 5.51868i 0.0950356 0.292489i
\(357\) −38.2222 + 23.4354i −2.02293 + 1.24033i
\(358\) −6.08345 13.6636i −0.321520 0.722146i
\(359\) 3.01548 + 14.1867i 0.159151 + 0.748746i 0.983244 + 0.182292i \(0.0583518\pi\)
−0.824093 + 0.566454i \(0.808315\pi\)
\(360\) −0.155551 + 2.99596i −0.00819825 + 0.157901i
\(361\) −17.3226 7.71254i −0.911718 0.405923i
\(362\) −11.7092 + 13.0044i −0.615424 + 0.683498i
\(363\) −7.12494 + 6.76461i −0.373963 + 0.355050i
\(364\) −13.4975 + 18.5777i −0.707462 + 0.973738i
\(365\) −0.537672 5.11561i −0.0281431 0.267763i
\(366\) 12.1436 4.30360i 0.634757 0.224953i
\(367\) −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
\(369\) 26.4929 + 21.4322i 1.37917 + 1.11572i
\(370\) 10.2783 3.33962i 0.534343 0.173619i
\(371\) −12.6261 −0.655514
\(372\) −8.39178 4.75163i −0.435094 0.246361i
\(373\) −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
\(375\) −1.73145 + 0.0457608i −0.0894115 + 0.00236308i
\(376\) 3.96898 2.88363i 0.204685 0.148712i
\(377\) −12.2057 + 7.04698i −0.628627 + 0.362938i
\(378\) −17.2447 + 9.37943i −0.886974 + 0.482426i
\(379\) 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
\(381\) −18.8831 19.8889i −0.967408 1.01894i
\(382\) −7.62259 + 8.46574i −0.390005 + 0.433145i
\(383\) −14.4436 6.43069i −0.738032 0.328593i 0.00306103 0.999995i \(-0.499026\pi\)
−0.741093 + 0.671402i \(0.765692\pi\)
\(384\) −1.37387 + 1.05474i −0.0701101 + 0.0538245i
\(385\) −3.20719 15.0887i −0.163454 0.768989i
\(386\) −8.75064 19.6542i −0.445396 1.00037i
\(387\) −0.0906608 + 0.574217i −0.00460855 + 0.0291891i
\(388\) 4.01459 12.3556i 0.203810 0.627262i
\(389\) 8.96023 3.98935i 0.454302 0.202268i −0.166812 0.985989i \(-0.553347\pi\)
0.621114 + 0.783721i \(0.286681\pi\)
\(390\) −5.02129 + 9.25344i −0.254263 + 0.468566i
\(391\) −21.2787 4.52293i −1.07611 0.228734i
\(392\) 2.95795 6.64367i 0.149399 0.335556i
\(393\) 0.865061 + 6.55847i 0.0436366 + 0.330831i
\(394\) 3.27699 + 0.344425i 0.165092 + 0.0173519i
\(395\) 4.99665 + 3.63028i 0.251409 + 0.182659i
\(396\) −11.8306 + 3.17616i −0.594509 + 0.159608i
\(397\) −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
\(399\) −1.27186 0.0997867i −0.0636728 0.00499558i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 11.4336 + 35.1889i 0.570964 + 1.75725i 0.649527 + 0.760338i \(0.274967\pi\)
−0.0785627 + 0.996909i \(0.525033\pi\)
\(402\) −11.0257 + 12.9158i −0.549912 + 0.644181i
\(403\) −19.3953 27.7338i −0.966147 1.38152i
\(404\) 10.4376i 0.519290i
\(405\) −7.27600 + 5.29715i −0.361548 + 0.263217i
\(406\) 6.50981 5.86146i 0.323076 0.290899i
\(407\) 25.9377 + 35.7001i 1.28568 + 1.76959i
\(408\) −11.6695 2.15988i −0.577726 0.106930i
\(409\) −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
\(411\) 6.84880 + 28.4968i 0.337826 + 1.40564i
\(412\) 1.00898 9.59982i 0.0497090 0.472949i
\(413\) 31.4862 + 28.3503i 1.54933 + 1.39503i
\(414\) −9.20147 2.46073i −0.452228 0.120938i
\(415\) 2.78846 13.1187i 0.136880 0.643969i
\(416\) −5.94554 + 1.26376i −0.291504 + 0.0619611i
\(417\) 3.37472 11.4030i 0.165261 0.558410i
\(418\) −0.757125 0.246005i −0.0370322 0.0120325i
\(419\) −11.1334 3.61746i −0.543903 0.176725i 0.0241629 0.999708i \(-0.492308\pi\)
−0.568065 + 0.822983i \(0.692308\pi\)
\(420\) 1.85693 6.27448i 0.0906087 0.306163i
\(421\) 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
\(423\) 14.2181 + 3.80233i 0.691310 + 0.184876i
\(424\) −2.48367 2.23631i −0.120618 0.108605i
\(425\) 0.716209 6.81428i 0.0347413 0.330541i
\(426\) 1.23678 + 5.14605i 0.0599222 + 0.249327i
\(427\) −27.9474 + 2.93739i −1.35247 + 0.142150i
\(428\) −10.3098 5.95237i −0.498343 0.287718i
\(429\) −42.2698 7.82362i −2.04081 0.377728i
\(430\) −0.113899 0.156769i −0.00549270 0.00756006i
\(431\) −13.8086 + 12.4333i −0.665136 + 0.598891i −0.930956 0.365131i \(-0.881024\pi\)
0.265820 + 0.964023i \(0.414357\pi\)
\(432\) −5.05347 1.20933i −0.243135 0.0581840i
\(433\) 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
\(438\) 8.88201 + 0.696856i 0.424399 + 0.0332971i
\(439\) −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
\(441\) 21.0711 5.65696i 1.00338 0.269379i
\(442\) −33.6938 24.4800i −1.60265 1.16439i
\(443\) 22.7744 + 2.39368i 1.08204 + 0.113727i 0.628730 0.777624i \(-0.283575\pi\)
0.453313 + 0.891351i \(0.350242\pi\)
\(444\) 2.44779 + 18.5579i 0.116167 + 0.880721i
\(445\) −2.36016 + 5.30102i −0.111883 + 0.251292i
\(446\) −17.7713 3.77740i −0.841494 0.178865i
\(447\) −3.15348 + 5.81135i −0.149154 + 0.274868i
\(448\) 3.45127 1.53660i 0.163057 0.0725977i
\(449\) −4.86519 + 14.9735i −0.229602 + 0.706644i 0.768189 + 0.640223i \(0.221158\pi\)
−0.997792 + 0.0664209i \(0.978842\pi\)
\(450\) 0.467862 2.96329i 0.0220552 0.139691i
\(451\) −18.8646 42.3705i −0.888297 1.99515i
\(452\) −0.100888 0.474642i −0.00474539 0.0223253i
\(453\) −5.43699 + 4.17405i −0.255452 + 0.196114i
\(454\) −11.4384 5.09271i −0.536831 0.239013i
\(455\) 15.3655 17.0651i 0.720345 0.800024i
\(456\) −0.232513 0.244899i −0.0108884 0.0114684i
\(457\) 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
\(459\) −17.0111 31.2762i −0.794012 1.45985i
\(460\) 2.74958 1.58747i 0.128200 0.0740162i
\(461\) 20.9869 15.2478i 0.977456 0.710163i 0.0203171 0.999794i \(-0.493532\pi\)
0.957139 + 0.289630i \(0.0935324\pi\)
\(462\) 26.7089 0.705895i 1.24261 0.0328412i
\(463\) −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
\(465\) 7.84913 + 5.60278i 0.363995 + 0.259823i
\(466\) −10.5138 −0.487041
\(467\) −18.6040 + 6.04482i −0.860892 + 0.279721i −0.706001 0.708211i \(-0.749503\pi\)
−0.154891 + 0.987932i \(0.549503\pi\)
\(468\) −14.1769 11.4688i −0.655328 0.530146i
\(469\) 29.9662 21.7717i 1.38371 1.00532i
\(470\) −4.24866 + 2.45296i −0.195976 + 0.113147i
\(471\) 27.7359 9.82939i 1.27800 0.452915i
\(472\) 1.17228 + 11.1535i 0.0539587 + 0.513383i
\(473\) 0.465070 0.640113i 0.0213839 0.0294324i
\(474\) −7.75790 + 7.36556i −0.356332 + 0.338311i
\(475\) 0.130459 0.144890i 0.00598588 0.00664799i
\(476\) 23.6474 + 10.5285i 1.08388 + 0.482574i
\(477\) 0.519868 10.0128i 0.0238031 0.458456i
\(478\) −4.19526 19.7372i −0.191887 0.902757i
\(479\) −15.1451 34.0165i −0.691998 1.55425i −0.826249 0.563305i \(-0.809530\pi\)
0.134251 0.990947i \(-0.457137\pi\)
\(480\) 1.47660 0.905353i 0.0673971 0.0413235i
\(481\) −20.2994 + 62.4752i −0.925574 + 2.84862i
\(482\) −9.83415 + 4.37844i −0.447933 + 0.199433i
\(483\) 18.2600 + 9.90862i 0.830859 + 0.450858i
\(484\) 5.54834 + 1.17934i 0.252197 + 0.0536062i
\(485\) −5.28411 + 11.8683i −0.239939 + 0.538912i
\(486\) −6.72810 14.0617i −0.305193 0.637854i
\(487\) 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
\(489\) −9.88959 + 14.3969i −0.447223 + 0.651052i
\(490\) −3.63620 + 6.29809i −0.164267 + 0.284519i
\(491\) −4.84079 8.38450i −0.218462 0.378387i 0.735876 0.677116i \(-0.236771\pi\)
−0.954338 + 0.298729i \(0.903437\pi\)
\(492\) 1.53885 19.6139i 0.0693766 0.884262i
\(493\) 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
\(498\) 21.4637 + 8.88444i 0.961811 + 0.398121i
\(499\) 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
\(501\) −3.25833 + 17.6043i −0.145571 + 0.786500i
\(502\) 23.0096 + 13.2846i 1.02697 + 0.592921i
\(503\) −39.5009 + 4.15172i −1.76126 + 0.185116i −0.929202 0.369573i \(-0.879504\pi\)
−0.832058 + 0.554689i \(0.812837\pi\)
\(504\) 10.1009 + 5.14046i 0.449928 + 0.228974i
\(505\) 1.09103 10.3804i 0.0485501 0.461923i
\(506\) 9.63400 + 8.67450i 0.428284 + 0.385628i
\(507\) −17.8652 37.4318i −0.793422 1.66240i
\(508\) −3.29205 + 15.4879i −0.146061 + 0.687164i
\(509\) 19.8189 4.21264i 0.878457 0.186722i 0.253457 0.967347i \(-0.418432\pi\)
0.625000 + 0.780625i \(0.285099\pi\)
\(510\) 11.3798 + 3.36784i 0.503906 + 0.149130i
\(511\) −18.4815 6.00502i −0.817575 0.265646i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) 0.131501 1.00451i 0.00580593 0.0443504i
\(514\) −11.1448 + 2.36890i −0.491576 + 0.104488i
\(515\) −2.00691 + 9.44176i −0.0884350 + 0.416054i
\(516\) 0.302901 0.144567i 0.0133345 0.00636419i
\(517\) −14.8865 13.4039i −0.654707 0.589501i
\(518\) 4.26774 40.6048i 0.187514 1.78407i
\(519\) 2.52007 0.605663i 0.110619 0.0265857i
\(520\) 6.04507 0.635362i 0.265094 0.0278625i
\(521\) −17.2505 9.95960i −0.755759 0.436338i 0.0720117 0.997404i \(-0.477058\pi\)
−0.827771 + 0.561066i \(0.810391\pi\)
\(522\) 4.38026 + 5.40379i 0.191719 + 0.236518i
\(523\) 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
\(525\) −2.50261 + 6.04600i −0.109223 + 0.263869i
\(526\) 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
\(531\) −23.7790 + 23.8021i −1.03192 + 1.03292i
\(532\) 0.368284 + 0.637886i 0.0159671 + 0.0276559i
\(533\) 34.5217 59.7933i 1.49530 2.58994i
\(534\) −8.28430 5.69068i −0.358497 0.246260i
\(535\) 9.63113 + 6.99743i 0.416390 + 0.302525i
\(536\) 9.75078 + 1.02485i 0.421169 + 0.0442667i
\(537\) −25.6833 + 3.38763i −1.10832 + 0.146187i
\(538\) 1.26894 2.85008i 0.0547077 0.122875i
\(539\) −29.0456 6.17383i −1.25108 0.265926i
\(540\) 4.89937 + 1.73094i 0.210835 + 0.0744877i
\(541\) 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
\(543\) 15.8429 + 25.8392i 0.679886 + 1.10887i
\(544\) 2.78688 + 6.25944i 0.119487 + 0.268371i
\(545\) 2.20045 + 10.3523i 0.0942568 + 0.443443i
\(546\) 24.2204 + 31.5487i 1.03654 + 1.35016i
\(547\) −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
\(549\) −1.17872 22.2840i −0.0503066 0.951058i
\(550\) −2.40003 + 3.30336i −0.102338 + 0.140856i
\(551\) 0.0472546 + 0.449598i 0.00201312 + 0.0191535i
\(552\) 1.83692 + 5.18329i 0.0781844 + 0.220615i
\(553\) 20.2070 11.6665i 0.859287 0.496110i
\(554\) −26.0243 + 18.9078i −1.10567 + 0.803314i
\(555\) −0.494548 18.7121i −0.0209924 0.794286i
\(556\) −6.52978 + 2.12165i −0.276924 + 0.0899781i
\(557\) −31.5183 −1.33547 −0.667737 0.744397i \(-0.732737\pi\)
−0.667737 + 0.744397i \(0.732737\pi\)
\(558\) −12.0165 + 11.6019i −0.508699 + 0.491147i
\(559\) 1.17785 0.0498175
\(560\) −3.59298 + 1.16743i −0.151831 + 0.0493329i
\(561\) 1.28026 + 48.4409i 0.0540525 + 2.04518i
\(562\) 21.0102 15.2648i 0.886264 0.643908i
\(563\) −1.09405 + 0.631649i −0.0461086 + 0.0266208i −0.522877 0.852408i \(-0.675141\pi\)
0.476768 + 0.879029i \(0.341808\pi\)
\(564\) −2.83841 8.00924i −0.119519 0.337250i
\(565\) 0.0507220 + 0.482588i 0.00213389 + 0.0203026i
\(566\) 4.97065 6.84152i 0.208932 0.287570i
\(567\) 7.10154 + 33.2511i 0.298237 + 1.39641i
\(568\) 2.04465 2.27081i 0.0857914 0.0952811i
\(569\) 2.09538 + 0.932923i 0.0878429 + 0.0391102i 0.450188 0.892934i \(-0.351357\pi\)
−0.362345 + 0.932044i \(0.618024\pi\)
\(570\) 0.205641 + 0.267861i 0.00861334 + 0.0112195i
\(571\) −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
\(573\) 10.3136 + 16.8211i 0.430856 + 0.702710i
\(574\) −13.2607 + 40.8122i −0.553491 + 1.70347i
\(575\) −2.90045 + 1.29136i −0.120957 + 0.0538536i
\(576\) 1.07647 + 2.80022i 0.0448527 + 0.116676i
\(577\) −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
\(579\) −36.9438 + 4.87288i −1.53533 + 0.202510i
\(580\) −2.30601 0.242371i −0.0957517 0.0100639i
\(581\) −40.9912 29.7819i −1.70060 1.23556i
\(582\) −18.5475 12.7407i −0.768819 0.528119i
\(583\) −6.82320 + 11.8181i −0.282588 + 0.489457i
\(584\) −2.57190 4.45465i −0.106426 0.184335i
\(585\) 12.9004 + 12.8879i 0.533367 + 0.532848i
\(586\) 5.85675 + 6.50458i 0.241940 + 0.268702i
\(587\) 1.88101 + 5.78914i 0.0776375 + 0.238944i 0.982341 0.187097i \(-0.0599080\pi\)
−0.904704 + 0.426041i \(0.859908\pi\)
\(588\) −9.58020 8.17823i −0.395081 0.337265i
\(589\) −1.06571 + 0.206507i −0.0439120 + 0.00850896i
\(590\) 11.2150i 0.461713i
\(591\) 2.18276 5.27327i 0.0897867 0.216914i
\(592\) 8.03134 7.23145i 0.330086 0.297211i
\(593\) −12.9128 17.7730i −0.530266 0.729849i 0.456905 0.889516i \(-0.348958\pi\)
−0.987171 + 0.159667i \(0.948958\pi\)
\(594\) −0.539919 + 21.2099i −0.0221531 + 0.870253i
\(595\) −22.4174 12.9427i −0.919023 0.530598i
\(596\) 3.79643 0.399021i 0.155508 0.0163445i
\(597\) −0.128349 + 0.0308468i −0.00525296 + 0.00126247i
\(598\) −2.01724 + 19.1927i −0.0824910 + 0.784849i
\(599\) 5.43492 + 4.89363i 0.222065 + 0.199948i 0.772652 0.634829i \(-0.218930\pi\)
−0.550587 + 0.834777i \(0.685596\pi\)
\(600\) −1.56314 + 0.746047i −0.0638150 + 0.0304572i
\(601\) 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
\(603\) 16.0317 + 24.6604i 0.652862 + 1.00425i
\(604\) 3.76373 + 1.22291i 0.153144 + 0.0497596i
\(605\) −5.39467 1.75284i −0.219325 0.0712629i
\(606\) 17.3352 + 5.13035i 0.704196 + 0.208406i
\(607\) 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
\(609\) −6.53523 13.6928i −0.264821 0.554861i
\(610\) 5.52779 + 4.97725i 0.223814 + 0.201523i
\(611\) 3.11704 29.6567i 0.126102 1.19978i
\(612\) −9.32306 + 18.3196i −0.376863 + 0.740524i
\(613\) 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
\(615\) −3.58063 + 19.3456i −0.144385 + 0.780089i
\(616\) −9.06703 12.4797i −0.365321 0.502821i
\(617\) 27.2062 24.4966i 1.09528 0.986196i 0.0953243 0.995446i \(-0.469611\pi\)
0.999957 + 0.00925034i \(0.00294452\pi\)
\(618\) −15.4479 6.39431i −0.621404 0.257217i
\(619\) 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
\(624\) −0.823468 + 10.4958i −0.0329651 + 0.420168i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 2.75493 4.77168i 0.110109 0.190715i
\(627\) −0.780722 + 1.13655i −0.0311790 + 0.0453894i
\(628\) −13.7445 9.98600i −0.548467 0.398485i
\(629\) 73.6435 + 7.74024i 2.93636 + 0.308624i
\(630\) −9.50820 6.16813i −0.378816 0.245744i
\(631\) 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
\(633\) 2.90280 + 1.57518i 0.115376 + 0.0626078i
\(634\) 11.6288 5.17749i 0.461840 0.205624i
\(635\) 4.89295 15.0589i 0.194171 0.597596i
\(636\) −4.93494 + 3.02579i −0.195683 + 0.119980i
\(637\) −17.9795 40.3827i −0.712375 1.60002i
\(638\) −1.96844 9.26079i −0.0779314 0.366638i
\(639\) 9.15470 + 0.475313i 0.362154 + 0.0188031i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 16.7323 18.5831i 0.660887 0.733989i −0.315760 0.948839i \(-0.602260\pi\)
0.976647 + 0.214850i \(0.0689262\pi\)
\(642\) −14.9535 + 14.1972i −0.590167 + 0.560320i
\(643\) 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
\(645\) −0.316353 + 0.112113i −0.0124564 + 0.00441444i
\(646\) −1.15691 + 0.667943i −0.0455180 + 0.0262799i
\(647\) 14.2925 10.3841i 0.561895 0.408241i −0.270257 0.962788i \(-0.587109\pi\)
0.832152 + 0.554548i \(0.187109\pi\)
\(648\) −4.49242 + 7.79860i −0.176479 + 0.306358i
\(649\) 43.5514 14.1507i 1.70954 0.555464i
\(650\) −6.07836 −0.238413
\(651\) 31.3977 18.4802i 1.23057 0.724296i
\(652\) 10.0842 0.394929
\(653\) −5.75041 + 1.86842i −0.225031 + 0.0731169i −0.419362 0.907819i \(-0.637746\pi\)
0.194331 + 0.980936i \(0.437746\pi\)
\(654\) −18.3249 + 0.484313i −0.716559 + 0.0189381i
\(655\) −3.08990 + 2.24495i −0.120732 + 0.0877173i
\(656\) −9.83708 + 5.67944i −0.384073 + 0.221745i
\(657\) 5.52310 14.4091i 0.215477 0.562153i
\(658\) 1.93733 + 18.4325i 0.0755251 + 0.718574i
\(659\) −6.02205 + 8.28864i −0.234586 + 0.322880i −0.910039 0.414524i \(-0.863948\pi\)
0.675453 + 0.737403i \(0.263948\pi\)
\(660\) −4.86947 5.12885i −0.189544 0.199640i
\(661\) −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
\(663\) −57.2187 + 43.9276i −2.22219 + 1.70601i
\(664\) −2.78846 13.1187i −0.108213 0.509102i
\(665\) −0.299589 0.672888i −0.0116176 0.0260935i
\(666\) 32.0250 + 5.05630i 1.24094 + 0.195928i
\(667\) 2.27491 7.00145i 0.0880849 0.271097i
\(668\) 9.44282 4.20421i 0.365353 0.162666i
\(669\) −15.0087 + 27.6586i −0.580270 + 1.06934i
\(670\) −9.59023 2.03847i −0.370503 0.0787529i
\(671\) −12.3535 + 27.7464i −0.476901 + 1.07114i
\(672\) −0.855674 6.48730i −0.0330083 0.250253i
\(673\) 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
\(675\) −4.69160 2.23358i −0.180580 0.0859705i
\(676\) −11.9733 + 20.7383i −0.460510 + 0.797626i
\(677\) −6.01713 10.4220i −0.231257 0.400549i 0.726921 0.686721i \(-0.240951\pi\)
−0.958178 + 0.286172i \(0.907617\pi\)
\(678\) −0.837896 0.0657388i −0.0321792 0.00252468i
\(679\) 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 \(-0.869399\pi\)
0.917003 0.398879i \(-0.130601\pi\)
\(684\) −0.521025 + 0.265795i −0.0199219 + 0.0101629i
\(685\) −12.5748 + 11.3224i −0.480460 + 0.432608i
\(686\) 0.604903 + 0.832578i 0.0230953 + 0.0317880i
\(687\) 27.2432 + 5.04237i 1.03939 + 0.192379i
\(688\) −0.167816 0.0968884i −0.00639791 0.00369383i
\(689\) −20.2033 + 2.12345i −0.769683 + 0.0808969i
\(690\) −1.28505 5.34691i −0.0489212 0.203553i
\(691\) 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
\(693\) 11.9557 44.7062i 0.454159 1.69825i
\(694\) 4.27272 20.1016i 0.162190 0.763046i
\(695\) 6.71578 1.42748i 0.254744 0.0541475i
\(696\) 1.13970 3.85101i 0.0432003 0.145972i
\(697\) −74.0197 24.0505i −2.80370 0.910976i
\(698\) −21.9239 7.12351i −0.829832 0.269629i
\(699\) −5.16778 + 17.4617i −0.195463 + 0.660463i
\(700\) 3.69533 0.785466i 0.139670 0.0296878i
\(701\) −4.20247 + 19.7711i −0.158725 + 0.746743i 0.824721 + 0.565540i \(0.191332\pi\)
−0.983446 + 0.181203i \(0.942001\pi\)
\(702\) −26.0162 + 17.9084i −0.981919 + 0.675910i
\(703\) 1.56586 + 1.40990i 0.0590574 + 0.0531755i
\(704\) 0.426808 4.06080i 0.0160859 0.153047i
\(705\) 1.98567 + 8.26205i 0.0747846 + 0.311167i
\(706\) 10.2873 1.08124i 0.387167 0.0406928i
\(707\) −34.1492 19.7160i −1.28431 0.741498i
\(708\) 19.1005 + 3.53526i 0.717840 + 0.132863i
\(709\) −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
\(711\) 8.41984 + 16.5050i 0.315769 + 0.618987i
\(712\) 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
\(717\) −34.8424 2.73363i −1.30121 0.102089i
\(718\) −7.25183 12.5605i −0.270636 0.468755i
\(719\) −19.8713 + 34.4182i −0.741076 + 1.28358i 0.210930 + 0.977501i \(0.432351\pi\)
−0.952006 + 0.306080i \(0.900983\pi\)
\(720\) −0.777866 2.89740i −0.0289894 0.107980i
\(721\) 29.5022 + 21.4346i 1.09872 + 0.798267i
\(722\) 18.8581 + 1.98207i 0.701826 + 0.0737649i
\(723\) 2.43818 + 18.4851i 0.0906770 + 0.687468i
\(724\) 7.11756 15.9863i 0.264522 0.594126i
\(725\) 2.26804 + 0.482087i 0.0842328 + 0.0179042i
\(726\) 4.68584 8.63526i 0.173908 0.320484i
\(727\) −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
\(729\) −26.6614 + 4.26263i −0.987459 + 0.157875i
\(730\) 2.09217 + 4.69909i 0.0774346 + 0.173921i
\(731\) −0.276049 1.29871i −0.0102100 0.0480344i
\(732\) −10.2194 + 7.84556i −0.377719 + 0.289980i
\(733\) 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
\(735\) 8.67286 + 9.13484i 0.319903 + 0.336944i
\(736\) 1.86618 2.56858i 0.0687884 0.0946792i
\(737\) −4.18463 39.8141i −0.154143 1.46657i
\(738\) −31.8192 12.1965i −1.17128 0.448959i
\(739\) −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
\(741\) −2.05192 + 0.0542306i −0.0753790 + 0.00199221i
\(742\) 12.0081 3.90168i 0.440832 0.143235i
\(743\) −13.7011 −0.502645 −0.251323 0.967903i \(-0.580866\pi\)
−0.251323 + 0.967903i \(0.580866\pi\)
\(744\) 9.44939 + 1.92587i 0.346432 + 0.0706057i
\(745\) −3.81734 −0.139857
\(746\) 20.6053 6.69507i 0.754414 0.245124i
\(747\) 25.3056 31.2809i 0.925884 1.14451i
\(748\) 22.6340 16.4445i 0.827580 0.601272i
\(749\) 38.9492 22.4873i 1.42317 0.821670i
\(750\) 1.63256 0.578567i 0.0596127 0.0211263i
\(751\) −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
\(753\) 33.3734 31.6856i 1.21620 1.15469i
\(754\) 9.43069 10.4738i 0.343446 0.381435i
\(755\) −3.61529 1.60963i −0.131574 0.0585804i
\(756\) 13.5023 14.2493i 0.491075 0.518242i
\(757\) 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
\(759\) 19.1423 11.7368i 0.694823 0.426021i
\(760\) 0.0602485 0.185426i 0.00218544 0.00672610i
\(761\) 18.7679 8.35601i 0.680336 0.302905i −0.0373193 0.999303i \(-0.511882\pi\)
0.717656 + 0.696398i \(0.245215\pi\)
\(762\) 24.1049 + 13.0803i 0.873227 + 0.473849i
\(763\) 39.1097 + 8.31303i 1.41587 + 0.300952i
\(764\) 4.63345 10.4069i 0.167632 0.376509i
\(765\) 11.1869 17.2447i 0.404463 0.623483i
\(766\) 15.7238 + 1.65264i 0.568126 + 0.0597124i
\(767\) 55.1496 + 40.0685i 1.99134 + 1.44679i
\(768\) 0.980697 1.42767i 0.0353879 0.0515165i
\(769\) −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
\(771\) −1.54358 + 19.6742i −0.0555906 + 0.708548i
\(772\) 14.3958 + 15.9882i 0.518118 + 0.575428i
\(773\) 5.59205 + 17.2106i 0.201132 + 0.619021i 0.999850 + 0.0173156i