Properties

Label 930.2.br.b.11.14
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 11.14
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.47317 + 0.910922i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.11958 + 1.32157i) q^{6} +(0.140936 + 1.34092i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.34044 - 2.68388i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.47317 + 0.910922i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.11958 + 1.32157i) q^{6} +(0.140936 + 1.34092i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.34044 - 2.68388i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-3.37088 - 1.50081i) q^{11} +(-0.656391 + 1.60286i) q^{12} +(-1.36284 - 6.41167i) q^{13} +(0.548405 + 1.23174i) q^{14} +(-0.820340 + 1.52546i) q^{15} +(0.309017 - 0.951057i) q^{16} +(5.12286 - 2.28084i) q^{17} +(0.445473 - 2.96674i) q^{18} +(-1.80634 - 0.383949i) q^{19} +(0.406737 - 0.913545i) q^{20} +(-1.42910 - 1.84702i) q^{21} +(-3.66968 - 0.385699i) q^{22} +(4.04207 + 2.93674i) q^{23} +(-0.128955 + 1.72724i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-3.27746 - 5.67672i) q^{26} +(0.470106 + 5.17484i) q^{27} +(0.902193 + 1.00199i) q^{28} +(0.419623 + 1.29147i) q^{29} +(-0.308795 + 1.70430i) q^{30} +(4.68202 - 3.01308i) q^{31} -1.00000i q^{32} +(6.33300 - 0.859661i) q^{33} +(4.16731 - 3.75226i) q^{34} +(0.792514 + 1.09080i) q^{35} +(-0.493103 - 2.95920i) q^{36} +(-3.11169 - 1.79653i) q^{37} +(-1.83658 + 0.193032i) q^{38} +(7.84822 + 8.20402i) q^{39} +(0.104528 - 0.994522i) q^{40} +(1.81154 + 1.63112i) q^{41} +(-1.92991 - 1.31500i) q^{42} +(2.02409 - 9.52259i) q^{43} +(-3.60926 + 0.767172i) q^{44} +(-0.181081 - 2.99453i) q^{45} +(4.75174 + 1.54393i) q^{46} +(-2.26952 - 0.737413i) q^{47} +(0.411104 + 1.68256i) q^{48} +(5.06883 - 1.07741i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-5.46916 + 8.02659i) q^{51} +(-4.87125 - 4.38609i) q^{52} +(0.959748 - 9.13139i) q^{53} +(2.04621 + 4.77630i) q^{54} +(-3.66968 + 0.385699i) q^{55} +(1.16767 + 0.674153i) q^{56} +(3.01079 - 1.07981i) q^{57} +(0.798170 + 1.09859i) q^{58} +(-7.31627 + 6.58760i) q^{59} +(0.232977 + 1.71631i) q^{60} -1.70177i q^{61} +(3.52177 - 4.31244i) q^{62} +(3.78779 + 1.41917i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-4.38609 - 4.87125i) q^{65} +(5.75739 - 2.77459i) q^{66} +(-0.0499869 - 0.0865799i) q^{67} +(2.80383 - 4.85638i) q^{68} +(-8.62978 - 0.644295i) q^{69} +(1.09080 + 0.792514i) q^{70} +(8.04344 + 0.845399i) q^{71} +(-1.38341 - 2.66199i) q^{72} +(1.50175 - 3.37300i) q^{73} +(-3.51455 - 0.747040i) q^{74} +(0.0522975 + 1.73126i) q^{75} +(-1.68704 + 0.751118i) q^{76} +(1.53739 - 4.73161i) q^{77} +(9.99929 + 5.37725i) q^{78} +(0.331778 + 0.745186i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-5.40642 - 7.19518i) q^{81} +(2.22693 + 0.991491i) q^{82} +(-3.07491 + 3.41503i) q^{83} +(-2.24181 - 0.654267i) q^{84} +(3.29610 - 4.53670i) q^{85} +(-1.01762 - 9.68200i) q^{86} +(-1.79460 - 1.52030i) q^{87} +(-3.19554 + 1.84495i) q^{88} +(-9.31870 + 6.77043i) q^{89} +(-1.09758 - 2.79201i) q^{90} +(8.40546 - 2.73110i) q^{91} +4.99627 q^{92} +(-4.15272 + 8.70373i) q^{93} -2.38632 q^{94} +(-1.75631 + 0.570660i) q^{95} +(0.910922 + 1.47317i) q^{96} +(13.8287 - 10.0471i) q^{97} +(4.48780 - 2.59104i) q^{98} +(-8.54649 + 7.03529i) 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
\(3\) −1.47317 + 0.910922i −0.850534 + 0.525921i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.11958 + 1.32157i −0.457065 + 0.539529i
\(7\) 0.140936 + 1.34092i 0.0532689 + 0.506820i 0.988329 + 0.152332i \(0.0486782\pi\)
−0.935060 + 0.354488i \(0.884655\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) 1.34044 2.68388i 0.446815 0.894627i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −3.37088 1.50081i −1.01636 0.452513i −0.170182 0.985413i \(-0.554436\pi\)
−0.846178 + 0.532900i \(0.821102\pi\)
\(12\) −0.656391 + 1.60286i −0.189484 + 0.462705i
\(13\) −1.36284 6.41167i −0.377985 1.77828i −0.596675 0.802483i \(-0.703512\pi\)
0.218690 0.975794i \(-0.429822\pi\)
\(14\) 0.548405 + 1.23174i 0.146568 + 0.329196i
\(15\) −0.820340 + 1.52546i −0.211811 + 0.393873i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 5.12286 2.28084i 1.24248 0.553186i 0.323025 0.946390i \(-0.395300\pi\)
0.919451 + 0.393204i \(0.128634\pi\)
\(18\) 0.445473 2.96674i 0.104999 0.699268i
\(19\) −1.80634 0.383949i −0.414403 0.0880840i −0.00400785 0.999992i \(-0.501276\pi\)
−0.410395 + 0.911908i \(0.634609\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) −1.42910 1.84702i −0.311854 0.403052i
\(22\) −3.66968 0.385699i −0.782378 0.0822313i
\(23\) 4.04207 + 2.93674i 0.842830 + 0.612352i 0.923160 0.384417i \(-0.125597\pi\)
−0.0803298 + 0.996768i \(0.525597\pi\)
\(24\) −0.128955 + 1.72724i −0.0263228 + 0.352572i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −3.27746 5.67672i −0.642762 1.11330i
\(27\) 0.470106 + 5.17484i 0.0904719 + 0.995899i
\(28\) 0.902193 + 1.00199i 0.170498 + 0.189358i
\(29\) 0.419623 + 1.29147i 0.0779220 + 0.239819i 0.982428 0.186641i \(-0.0597603\pi\)
−0.904506 + 0.426461i \(0.859760\pi\)
\(30\) −0.308795 + 1.70430i −0.0563779 + 0.311162i
\(31\) 4.68202 3.01308i 0.840916 0.541166i
\(32\) 1.00000i 0.176777i
\(33\) 6.33300 0.859661i 1.10243 0.149648i
\(34\) 4.16731 3.75226i 0.714688 0.643508i
\(35\) 0.792514 + 1.09080i 0.133959 + 0.184379i
\(36\) −0.493103 2.95920i −0.0821838 0.493200i
\(37\) −3.11169 1.79653i −0.511558 0.295348i 0.221916 0.975066i \(-0.428769\pi\)
−0.733474 + 0.679718i \(0.762102\pi\)
\(38\) −1.83658 + 0.193032i −0.297932 + 0.0313139i
\(39\) 7.84822 + 8.20402i 1.25672 + 1.31369i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 1.81154 + 1.63112i 0.282916 + 0.254738i 0.798354 0.602188i \(-0.205704\pi\)
−0.515439 + 0.856927i \(0.672371\pi\)
\(42\) −1.92991 1.31500i −0.297792 0.202909i
\(43\) 2.02409 9.52259i 0.308671 1.45218i −0.501077 0.865403i \(-0.667063\pi\)
0.809747 0.586779i \(-0.199604\pi\)
\(44\) −3.60926 + 0.767172i −0.544116 + 0.115656i
\(45\) −0.181081 2.99453i −0.0269940 0.446398i
\(46\) 4.75174 + 1.54393i 0.700606 + 0.227641i
\(47\) −2.26952 0.737413i −0.331044 0.107563i 0.138779 0.990323i \(-0.455682\pi\)
−0.469823 + 0.882761i \(0.655682\pi\)
\(48\) 0.411104 + 1.68256i 0.0593378 + 0.242856i
\(49\) 5.06883 1.07741i 0.724119 0.153916i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) −5.46916 + 8.02659i −0.765836 + 1.12395i
\(52\) −4.87125 4.38609i −0.675521 0.608241i
\(53\) 0.959748 9.13139i 0.131832 1.25429i −0.705940 0.708272i \(-0.749475\pi\)
0.837771 0.546021i \(-0.183858\pi\)
\(54\) 2.04621 + 4.77630i 0.278454 + 0.649972i
\(55\) −3.66968 + 0.385699i −0.494819 + 0.0520076i
\(56\) 1.16767 + 0.674153i 0.156036 + 0.0900875i
\(57\) 3.01079 1.07981i 0.398789 0.143025i
\(58\) 0.798170 + 1.09859i 0.104805 + 0.144251i
\(59\) −7.31627 + 6.58760i −0.952497 + 0.857632i −0.989914 0.141667i \(-0.954754\pi\)
0.0374170 + 0.999300i \(0.488087\pi\)
\(60\) 0.232977 + 1.71631i 0.0300772 + 0.221575i
\(61\) 1.70177i 0.217889i −0.994048 0.108944i \(-0.965253\pi\)
0.994048 0.108944i \(-0.0347471\pi\)
\(62\) 3.52177 4.31244i 0.447266 0.547680i
\(63\) 3.78779 + 1.41917i 0.477216 + 0.178799i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −4.38609 4.87125i −0.544028 0.604204i
\(66\) 5.75739 2.77459i 0.708686 0.341529i
\(67\) −0.0499869 0.0865799i −0.00610687 0.0105774i 0.862956 0.505279i \(-0.168611\pi\)
−0.869063 + 0.494702i \(0.835277\pi\)
\(68\) 2.80383 4.85638i 0.340015 0.588923i
\(69\) −8.62978 0.644295i −1.03890 0.0775640i
\(70\) 1.09080 + 0.792514i 0.130376 + 0.0947236i
\(71\) 8.04344 + 0.845399i 0.954580 + 0.100330i 0.568994 0.822341i \(-0.307333\pi\)
0.385586 + 0.922672i \(0.373999\pi\)
\(72\) −1.38341 2.66199i −0.163037 0.313718i
\(73\) 1.50175 3.37300i 0.175767 0.394779i −0.804082 0.594518i \(-0.797343\pi\)
0.979849 + 0.199739i \(0.0640094\pi\)
\(74\) −3.51455 0.747040i −0.408558 0.0868417i
\(75\) 0.0522975 + 1.73126i 0.00603880 + 0.199909i
\(76\) −1.68704 + 0.751118i −0.193517 + 0.0861591i
\(77\) 1.53739 4.73161i 0.175202 0.539217i
\(78\) 9.99929 + 5.37725i 1.13220 + 0.608854i
\(79\) 0.331778 + 0.745186i 0.0373280 + 0.0838400i 0.931247 0.364388i \(-0.118722\pi\)
−0.893919 + 0.448228i \(0.852055\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −5.40642 7.19518i −0.600713 0.799464i
\(82\) 2.22693 + 0.991491i 0.245923 + 0.109492i
\(83\) −3.07491 + 3.41503i −0.337515 + 0.374849i −0.887880 0.460076i \(-0.847822\pi\)
0.550364 + 0.834925i \(0.314489\pi\)
\(84\) −2.24181 0.654267i −0.244602 0.0713864i
\(85\) 3.29610 4.53670i 0.357513 0.492074i
\(86\) −1.01762 9.68200i −0.109733 1.04404i
\(87\) −1.79460 1.52030i −0.192401 0.162993i
\(88\) −3.19554 + 1.84495i −0.340646 + 0.196672i
\(89\) −9.31870 + 6.77043i −0.987780 + 0.717664i −0.959434 0.281934i \(-0.909024\pi\)
−0.0283463 + 0.999598i \(0.509024\pi\)
\(90\) −1.09758 2.79201i −0.115695 0.294304i
\(91\) 8.40546 2.73110i 0.881132 0.286297i
\(92\) 4.99627 0.520898
\(93\) −4.15272 + 8.70373i −0.430617 + 0.902535i
\(94\) −2.38632 −0.246130
\(95\) −1.75631 + 0.570660i −0.180194 + 0.0585485i
\(96\) 0.910922 + 1.47317i 0.0929705 + 0.150355i
\(97\) 13.8287 10.0471i 1.40409 1.02013i 0.409938 0.912113i \(-0.365550\pi\)
0.994149 0.108016i \(-0.0344497\pi\)
\(98\) 4.48780 2.59104i 0.453337 0.261734i
\(99\) −8.54649 + 7.03529i −0.858954 + 0.707073i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −7.89339 + 10.8643i −0.785422 + 1.08104i 0.209241 + 0.977864i \(0.432901\pi\)
−0.994663 + 0.103177i \(0.967099\pi\)
\(102\) −2.72113 + 9.32380i −0.269432 + 0.923194i
\(103\) 5.22200 5.79962i 0.514539 0.571453i −0.428751 0.903423i \(-0.641046\pi\)
0.943290 + 0.331969i \(0.107713\pi\)
\(104\) −5.98821 2.66612i −0.587192 0.261435i
\(105\) −2.16114 0.885016i −0.210906 0.0863687i
\(106\) −1.90898 8.98105i −0.185417 0.872317i
\(107\) −2.63935 5.92808i −0.255156 0.573089i 0.739865 0.672755i \(-0.234889\pi\)
−0.995021 + 0.0996658i \(0.968223\pi\)
\(108\) 3.42202 + 3.91021i 0.329284 + 0.376261i
\(109\) −6.04369 + 18.6006i −0.578880 + 1.78161i 0.0436890 + 0.999045i \(0.486089\pi\)
−0.622569 + 0.782565i \(0.713911\pi\)
\(110\) −3.37088 + 1.50081i −0.321401 + 0.143097i
\(111\) 6.22054 0.187908i 0.590427 0.0178355i
\(112\) 1.31884 + 0.280329i 0.124619 + 0.0264886i
\(113\) −6.93720 + 15.5812i −0.652597 + 1.46576i 0.219096 + 0.975703i \(0.429689\pi\)
−0.871693 + 0.490053i \(0.836977\pi\)
\(114\) 2.52975 1.95735i 0.236933 0.183322i
\(115\) 4.96890 + 0.522253i 0.463353 + 0.0487003i
\(116\) 1.09859 + 0.798170i 0.102001 + 0.0741082i
\(117\) −19.0350 4.93678i −1.75978 0.456405i
\(118\) −4.92251 + 8.52603i −0.453153 + 0.784885i
\(119\) 3.78043 + 6.54789i 0.346551 + 0.600244i
\(120\) 0.751943 + 1.56031i 0.0686427 + 0.142437i
\(121\) 1.74998 + 1.94355i 0.159089 + 0.176687i
\(122\) −0.525875 1.61848i −0.0476105 0.146530i
\(123\) −4.15453 0.752741i −0.374602 0.0678723i
\(124\) 2.01679 5.18966i 0.181113 0.466045i
\(125\) 1.00000i 0.0894427i
\(126\) 4.04095 + 0.179223i 0.359996 + 0.0159664i
\(127\) −13.4400 + 12.1014i −1.19261 + 1.07383i −0.196979 + 0.980408i \(0.563113\pi\)
−0.995627 + 0.0934189i \(0.970220\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) 5.69251 + 15.8722i 0.501198 + 1.39747i
\(130\) −5.67672 3.27746i −0.497881 0.287452i
\(131\) 12.7882 1.34410i 1.11731 0.117434i 0.472178 0.881503i \(-0.343468\pi\)
0.645135 + 0.764069i \(0.276801\pi\)
\(132\) 4.61821 4.41793i 0.401964 0.384531i
\(133\) 0.260266 2.47627i 0.0225679 0.214720i
\(134\) −0.0742950 0.0668956i −0.00641811 0.00577890i
\(135\) 2.99454 + 4.24649i 0.257729 + 0.365480i
\(136\) 1.16590 5.48513i 0.0999751 0.470346i
\(137\) 3.58631 0.762293i 0.306399 0.0651271i −0.0521463 0.998639i \(-0.516606\pi\)
0.358545 + 0.933512i \(0.383273\pi\)
\(138\) −8.40651 + 2.05399i −0.715610 + 0.174847i
\(139\) 6.94795 + 2.25753i 0.589318 + 0.191481i 0.588471 0.808519i \(-0.299730\pi\)
0.000847313 1.00000i \(0.499730\pi\)
\(140\) 1.28232 + 0.416649i 0.108375 + 0.0352133i
\(141\) 4.01511 0.981025i 0.338133 0.0826172i
\(142\) 7.91101 1.68154i 0.663877 0.141111i
\(143\) −5.02874 + 23.6584i −0.420525 + 1.97841i
\(144\) −2.13830 2.10420i −0.178192 0.175350i
\(145\) 1.00914 + 0.908631i 0.0838042 + 0.0754577i
\(146\) 0.385940 3.67198i 0.0319407 0.303895i
\(147\) −6.48580 + 6.20452i −0.534939 + 0.511740i
\(148\) −3.57338 + 0.375578i −0.293730 + 0.0308723i
\(149\) 19.0580 + 11.0032i 1.56130 + 0.901414i 0.997126 + 0.0757551i \(0.0241367\pi\)
0.564169 + 0.825659i \(0.309197\pi\)
\(150\) 0.584727 + 1.63037i 0.0477428 + 0.133119i
\(151\) −11.7273 16.1412i −0.954354 1.31356i −0.949566 0.313567i \(-0.898476\pi\)
−0.00478737 0.999989i \(-0.501524\pi\)
\(152\) −1.37236 + 1.23568i −0.111313 + 0.100227i
\(153\) 0.745395 16.8065i 0.0602616 1.35872i
\(154\) 4.97511i 0.400905i
\(155\) 2.54821 4.95042i 0.204677 0.397627i
\(156\) 11.1715 + 2.02412i 0.894440 + 0.162059i
\(157\) 2.69616 + 8.29793i 0.215177 + 0.662247i 0.999141 + 0.0414407i \(0.0131948\pi\)
−0.783964 + 0.620807i \(0.786805\pi\)
\(158\) 0.545815 + 0.606189i 0.0434227 + 0.0482258i
\(159\) 6.90411 + 14.3263i 0.547532 + 1.13615i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −3.36825 + 5.83399i −0.265456 + 0.459782i
\(162\) −7.36524 5.17235i −0.578668 0.406378i
\(163\) −7.44782 5.41116i −0.583358 0.423835i 0.256575 0.966524i \(-0.417406\pi\)
−0.839933 + 0.542690i \(0.817406\pi\)
\(164\) 2.42432 + 0.254806i 0.189308 + 0.0198970i
\(165\) 5.05471 3.91099i 0.393509 0.304470i
\(166\) −1.86911 + 4.19809i −0.145071 + 0.325835i
\(167\) 4.72701 + 1.00476i 0.365787 + 0.0777504i 0.387138 0.922022i \(-0.373464\pi\)
−0.0213516 + 0.999772i \(0.506797\pi\)
\(168\) −2.33427 + 0.0705131i −0.180093 + 0.00544020i
\(169\) −27.3761 + 12.1886i −2.10585 + 0.937586i
\(170\) 1.73286 5.33321i 0.132905 0.409038i
\(171\) −3.45177 + 4.33333i −0.263963 + 0.331378i
\(172\) −3.95972 8.89367i −0.301926 0.678136i
\(173\) −3.24242 15.2544i −0.246517 1.15977i −0.910980 0.412450i \(-0.864673\pi\)
0.664463 0.747321i \(-0.268660\pi\)
\(174\) −2.17656 0.891332i −0.165005 0.0675717i
\(175\) 1.23174 + 0.548405i 0.0931107 + 0.0414556i
\(176\) −2.46902 + 2.74212i −0.186109 + 0.206695i
\(177\) 4.77730 16.3692i 0.359084 1.23038i
\(178\) −6.77043 + 9.31870i −0.507465 + 0.698466i
\(179\) 1.50880 + 14.3553i 0.112773 + 1.07296i 0.893800 + 0.448467i \(0.148030\pi\)
−0.781026 + 0.624498i \(0.785304\pi\)
\(180\) −1.90664 2.31619i −0.142112 0.172639i
\(181\) −8.35728 + 4.82508i −0.621192 + 0.358645i −0.777333 0.629089i \(-0.783428\pi\)
0.156141 + 0.987735i \(0.450095\pi\)
\(182\) 7.15011 5.19486i 0.530002 0.385069i
\(183\) 1.55018 + 2.50699i 0.114592 + 0.185322i
\(184\) 4.75174 1.54393i 0.350303 0.113820i
\(185\) −3.59307 −0.264167
\(186\) −1.25987 + 9.56100i −0.0923782 + 0.701047i
\(187\) −20.6917 −1.51313
\(188\) −2.26952 + 0.737413i −0.165522 + 0.0537814i
\(189\) −6.87280 + 1.35970i −0.499922 + 0.0989034i
\(190\) −1.49401 + 1.08546i −0.108387 + 0.0787475i
\(191\) −6.84297 + 3.95079i −0.495140 + 0.285869i −0.726704 0.686951i \(-0.758949\pi\)
0.231564 + 0.972820i \(0.425616\pi\)
\(192\) 1.32157 + 1.11958i 0.0953762 + 0.0807984i
\(193\) 0.947966 + 9.01929i 0.0682361 + 0.649223i 0.974172 + 0.225808i \(0.0725022\pi\)
−0.905936 + 0.423415i \(0.860831\pi\)
\(194\) 10.0471 13.8287i 0.721340 0.992840i
\(195\) 10.8988 + 3.18078i 0.780477 + 0.227780i
\(196\) 3.46748 3.85103i 0.247677 0.275074i
\(197\) −9.03839 4.02415i −0.643958 0.286709i 0.0586575 0.998278i \(-0.481318\pi\)
−0.702616 + 0.711569i \(0.747985\pi\)
\(198\) −5.95417 + 9.33197i −0.423144 + 0.663194i
\(199\) −0.000289787 0.00136334i −2.05424e−5 9.66446e-5i 0.978137 0.207960i \(-0.0666824\pi\)
−0.978158 + 0.207863i \(0.933349\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 0.152507 + 0.0820125i 0.0107570 + 0.00578472i
\(202\) −4.14980 + 12.7718i −0.291979 + 0.898619i
\(203\) −1.67261 + 0.744695i −0.117394 + 0.0522673i
\(204\) 0.293267 + 9.70834i 0.0205328 + 0.679720i
\(205\) 2.38440 + 0.506821i 0.166534 + 0.0353979i
\(206\) 3.17424 7.12945i 0.221160 0.496732i
\(207\) 13.3000 6.91190i 0.924415 0.480410i
\(208\) −6.51900 0.685175i −0.452011 0.0475083i
\(209\) 5.51272 + 4.00523i 0.381323 + 0.277047i
\(210\) −2.32885 0.173871i −0.160706 0.0119982i
\(211\) −6.86283 + 11.8868i −0.472457 + 0.818319i −0.999503 0.0315172i \(-0.989966\pi\)
0.527046 + 0.849837i \(0.323299\pi\)
\(212\) −4.59085 7.95158i −0.315301 0.546117i
\(213\) −12.6194 + 6.08153i −0.864668 + 0.416699i
\(214\) −4.34205 4.82234i −0.296817 0.329648i
\(215\) −3.00838 9.25885i −0.205170 0.631448i
\(216\) 4.46286 + 2.66137i 0.303659 + 0.181083i
\(217\) 4.70017 + 5.85356i 0.319068 + 0.397366i
\(218\) 19.5578i 1.32462i
\(219\) 0.860199 + 6.33697i 0.0581269 + 0.428213i
\(220\) −2.74212 + 2.46902i −0.184874 + 0.166461i
\(221\) −21.6057 29.7377i −1.45335 2.00037i
\(222\) 5.85801 2.10096i 0.393164 0.141007i
\(223\) −10.9442 6.31865i −0.732880 0.423128i 0.0865949 0.996244i \(-0.472401\pi\)
−0.819475 + 0.573115i \(0.805735\pi\)
\(224\) 1.34092 0.140936i 0.0895940 0.00941671i
\(225\) −1.65409 2.50280i −0.110272 0.166853i
\(226\) −1.78281 + 16.9623i −0.118591 + 1.12832i
\(227\) 8.30198 + 7.47513i 0.551022 + 0.496142i 0.896958 0.442116i \(-0.145772\pi\)
−0.345936 + 0.938258i \(0.612439\pi\)
\(228\) 1.80108 2.64328i 0.119279 0.175056i
\(229\) 2.48323 11.6827i 0.164096 0.772013i −0.816713 0.577044i \(-0.804206\pi\)
0.980809 0.194969i \(-0.0624606\pi\)
\(230\) 4.88709 1.03878i 0.322245 0.0684954i
\(231\) 2.04529 + 8.37089i 0.134570 + 0.550764i
\(232\) 1.29147 + 0.419623i 0.0847889 + 0.0275496i
\(233\) 10.9052 + 3.54332i 0.714424 + 0.232130i 0.643604 0.765359i \(-0.277438\pi\)
0.0708198 + 0.997489i \(0.477438\pi\)
\(234\) −19.6289 + 1.18697i −1.28318 + 0.0775948i
\(235\) −2.33417 + 0.496143i −0.152265 + 0.0323648i
\(236\) −2.04689 + 9.62988i −0.133241 + 0.626852i
\(237\) −1.16757 0.795560i −0.0758419 0.0516772i
\(238\) 5.61881 + 5.05920i 0.364213 + 0.327939i
\(239\) −1.50610 + 14.3295i −0.0974212 + 0.926901i 0.831225 + 0.555936i \(0.187640\pi\)
−0.928647 + 0.370966i \(0.879027\pi\)
\(240\) 1.19730 + 1.25158i 0.0772857 + 0.0807894i
\(241\) −12.5968 + 1.32397i −0.811429 + 0.0852846i −0.501149 0.865361i \(-0.667089\pi\)
−0.310279 + 0.950645i \(0.600423\pi\)
\(242\) 2.26492 + 1.30765i 0.145595 + 0.0840592i
\(243\) 14.5188 + 5.67488i 0.931382 + 0.364044i
\(244\) −1.00027 1.37676i −0.0640359 0.0881379i
\(245\) 3.85103 3.46748i 0.246033 0.221529i
\(246\) −4.18380 + 0.567922i −0.266750 + 0.0362094i
\(247\) 12.1049i 0.770217i
\(248\) 0.314388 5.55888i 0.0199637 0.352989i
\(249\) 1.41903 7.83192i 0.0899273 0.496328i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) 1.34486 + 1.49361i 0.0848865 + 0.0942760i 0.784092 0.620645i \(-0.213129\pi\)
−0.699205 + 0.714921i \(0.746463\pi\)
\(252\) 3.89855 1.07827i 0.245586 0.0679246i
\(253\) −9.21786 15.9658i −0.579522 1.00376i
\(254\) −9.04264 + 15.6623i −0.567386 + 0.982741i
\(255\) −0.723137 + 9.68581i −0.0452846 + 0.606549i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −3.03046 0.318514i −0.189035 0.0198684i 0.00953794 0.999955i \(-0.496964\pi\)
−0.198573 + 0.980086i \(0.563631\pi\)
\(258\) 10.3187 + 13.3362i 0.642412 + 0.830278i
\(259\) 1.97046 4.42572i 0.122438 0.275001i
\(260\) −6.41167 1.36284i −0.397635 0.0845199i
\(261\) 4.02862 + 0.604921i 0.249365 + 0.0374437i
\(262\) 11.7470 5.23009i 0.725731 0.323116i
\(263\) −0.850313 + 2.61699i −0.0524325 + 0.161371i −0.973844 0.227218i \(-0.927037\pi\)
0.921411 + 0.388588i \(0.127037\pi\)
\(264\) 3.02697 5.62880i 0.186297 0.346429i
\(265\) −3.73453 8.38789i −0.229410 0.515264i
\(266\) −0.517681 2.43550i −0.0317411 0.149330i
\(267\) 7.56067 18.4626i 0.462706 1.12989i
\(268\) −0.0913306 0.0406630i −0.00557891 0.00248389i
\(269\) 15.4577 17.1675i 0.942473 1.04672i −0.0563592 0.998411i \(-0.517949\pi\)
0.998832 0.0483118i \(-0.0153841\pi\)
\(270\) 4.16022 + 3.11329i 0.253183 + 0.189469i
\(271\) 11.5470 15.8931i 0.701431 0.965437i −0.298508 0.954407i \(-0.596489\pi\)
0.999939 0.0110298i \(-0.00351096\pi\)
\(272\) −0.586161 5.57695i −0.0355412 0.338152i
\(273\) −9.89483 + 11.6801i −0.598863 + 0.706911i
\(274\) 3.17522 1.83321i 0.191822 0.110748i
\(275\) −2.98519 + 2.16886i −0.180013 + 0.130787i
\(276\) −7.36035 + 4.55121i −0.443041 + 0.273951i
\(277\) −1.45337 + 0.472230i −0.0873248 + 0.0283736i −0.352354 0.935867i \(-0.614619\pi\)
0.265029 + 0.964241i \(0.414619\pi\)
\(278\) 7.30551 0.438156
\(279\) −1.81076 16.6049i −0.108408 0.994107i
\(280\) 1.34831 0.0805767
\(281\) 14.8517 4.82562i 0.885980 0.287872i 0.169542 0.985523i \(-0.445771\pi\)
0.716438 + 0.697650i \(0.245771\pi\)
\(282\) 3.51545 2.17375i 0.209342 0.129445i
\(283\) 20.2186 14.6897i 1.20187 0.873209i 0.207402 0.978256i \(-0.433499\pi\)
0.994467 + 0.105047i \(0.0334992\pi\)
\(284\) 7.00419 4.04387i 0.415622 0.239960i
\(285\) 2.06751 2.44054i 0.122469 0.144565i
\(286\) 2.52822 + 24.0544i 0.149497 + 1.42237i
\(287\) −1.93189 + 2.65902i −0.114036 + 0.156957i
\(288\) −2.68388 1.34044i −0.158149 0.0789864i
\(289\) 9.66622 10.7354i 0.568601 0.631496i
\(290\) 1.24053 + 0.552319i 0.0728463 + 0.0324333i
\(291\) −11.2198 + 27.3979i −0.657716 + 1.60609i
\(292\) −0.767652 3.61152i −0.0449235 0.211348i
\(293\) 7.63171 + 17.1411i 0.445850 + 1.00139i 0.987037 + 0.160493i \(0.0513083\pi\)
−0.541188 + 0.840902i \(0.682025\pi\)
\(294\) −4.25106 + 7.90507i −0.247927 + 0.461033i
\(295\) −3.04228 + 9.36316i −0.177128 + 0.545144i
\(296\) −3.28243 + 1.46143i −0.190787 + 0.0849440i
\(297\) 6.18181 18.1493i 0.358705 1.05313i
\(298\) 21.5254 + 4.57537i 1.24694 + 0.265044i
\(299\) 13.3207 29.9187i 0.770355 1.73024i
\(300\) 1.05992 + 1.36988i 0.0611945 + 0.0790901i
\(301\) 13.0543 + 1.37206i 0.752437 + 0.0790844i
\(302\) −16.1412 11.7273i −0.928824 0.674830i
\(303\) 1.73174 23.1952i 0.0994860 1.33253i
\(304\) −0.923347 + 1.59928i −0.0529576 + 0.0917252i
\(305\) −0.850883 1.47377i −0.0487214 0.0843880i
\(306\) −4.48458 16.2143i −0.256366 0.926907i
\(307\) 7.18730 + 7.98230i 0.410201 + 0.455574i 0.912474 0.409135i \(-0.134169\pi\)
−0.502273 + 0.864709i \(0.667503\pi\)
\(308\) −1.53739 4.73161i −0.0876010 0.269608i
\(309\) −2.40988 + 13.3006i −0.137093 + 0.756647i
\(310\) 0.893727 5.49557i 0.0507603 0.312127i
\(311\) 8.76227i 0.496863i −0.968649 0.248431i \(-0.920085\pi\)
0.968649 0.248431i \(-0.0799151\pi\)
\(312\) 11.2503 1.52714i 0.636921 0.0864575i
\(313\) 6.50542 5.85750i 0.367708 0.331086i −0.464476 0.885586i \(-0.653757\pi\)
0.832184 + 0.554500i \(0.187091\pi\)
\(314\) 5.12841 + 7.05864i 0.289413 + 0.398342i
\(315\) 3.98990 0.664854i 0.224806 0.0374603i
\(316\) 0.706424 + 0.407854i 0.0397394 + 0.0229436i
\(317\) 22.0209 2.31449i 1.23682 0.129995i 0.536546 0.843871i \(-0.319729\pi\)
0.700272 + 0.713876i \(0.253062\pi\)
\(318\) 10.9933 + 11.4917i 0.616473 + 0.644420i
\(319\) 0.523751 4.98316i 0.0293244 0.279003i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) 9.28823 + 6.32881i 0.518418 + 0.353240i
\(322\) −1.40060 + 6.58930i −0.0780523 + 0.367207i
\(323\) −10.1293 + 2.15306i −0.563612 + 0.119799i
\(324\) −8.60311 2.64321i −0.477950 0.146845i
\(325\) −6.23409 2.02558i −0.345805 0.112359i
\(326\) −8.75544 2.84481i −0.484919 0.157560i
\(327\) −8.04028 32.9071i −0.444629 1.81976i
\(328\) 2.38440 0.506821i 0.131657 0.0279845i
\(329\) 0.668953 3.14718i 0.0368806 0.173509i
\(330\) 3.59875 5.28156i 0.198105 0.290740i
\(331\) 17.6480 + 15.8903i 0.970023 + 0.873412i 0.991986 0.126347i \(-0.0403251\pi\)
−0.0219636 + 0.999759i \(0.506992\pi\)
\(332\) −0.480348 + 4.57021i −0.0263625 + 0.250823i
\(333\) −8.99272 + 5.94324i −0.492798 + 0.325688i
\(334\) 4.80614 0.505145i 0.262980 0.0276403i
\(335\) −0.0865799 0.0499869i −0.00473036 0.00273108i
\(336\) −2.19823 + 0.788391i −0.119923 + 0.0430103i
\(337\) −13.0598 17.9753i −0.711413 0.979176i −0.999766 0.0216513i \(-0.993108\pi\)
0.288353 0.957524i \(-0.406892\pi\)
\(338\) −22.2697 + 20.0517i −1.21131 + 1.09067i
\(339\) −3.97360 29.2730i −0.215816 1.58989i
\(340\) 5.60767i 0.304119i
\(341\) −20.3046 + 3.12991i −1.09956 + 0.169494i
\(342\) −1.94375 + 5.18790i −0.105106 + 0.280530i
\(343\) 5.07565 + 15.6213i 0.274060 + 0.843469i
\(344\) −6.51421 7.23476i −0.351223 0.390072i
\(345\) −7.79576 + 3.75692i −0.419709 + 0.202266i
\(346\) −7.79760 13.5058i −0.419201 0.726078i
\(347\) −12.6018 + 21.8270i −0.676500 + 1.17173i 0.299528 + 0.954088i \(0.403171\pi\)
−0.976028 + 0.217645i \(0.930162\pi\)
\(348\) −2.34547 0.175112i −0.125730 0.00938697i
\(349\) 28.7820 + 20.9114i 1.54067 + 1.11936i 0.949917 + 0.312504i \(0.101168\pi\)
0.590749 + 0.806855i \(0.298832\pi\)
\(350\) 1.34092 + 0.140936i 0.0716752 + 0.00753337i
\(351\) 32.5387 10.0667i 1.73679 0.537319i
\(352\) −1.50081 + 3.37088i −0.0799937 + 0.179669i
\(353\) 27.9373 + 5.93825i 1.48695 + 0.316061i 0.878581 0.477593i \(-0.158491\pi\)
0.608369 + 0.793654i \(0.291824\pi\)
\(354\) −0.514870 17.0443i −0.0273650 0.905894i
\(355\) 7.38852 3.28958i 0.392142 0.174593i
\(356\) −3.55943 + 10.9548i −0.188649 + 0.580603i
\(357\) −11.5338 6.20247i −0.610434 0.328269i
\(358\) 5.87098 + 13.1864i 0.310291 + 0.696925i
\(359\) 6.16257 + 28.9926i 0.325248 + 1.53017i 0.772064 + 0.635545i \(0.219225\pi\)
−0.446816 + 0.894626i \(0.647442\pi\)
\(360\) −2.52906 1.61364i −0.133293 0.0850464i
\(361\) −14.2419 6.34091i −0.749575 0.333732i
\(362\) −6.45722 + 7.17147i −0.339384 + 0.376924i
\(363\) −4.34844 1.26908i −0.228234 0.0666095i
\(364\) 5.19486 7.15011i 0.272285 0.374768i
\(365\) −0.385940 3.67198i −0.0202010 0.192200i
\(366\) 2.24901 + 1.90526i 0.117557 + 0.0995893i
\(367\) 13.0415 7.52949i 0.680759 0.393036i −0.119382 0.992848i \(-0.538091\pi\)
0.800141 + 0.599812i \(0.204758\pi\)
\(368\) 4.04207 2.93674i 0.210707 0.153088i
\(369\) 6.80601 2.67554i 0.354307 0.139283i
\(370\) −3.41721 + 1.11032i −0.177652 + 0.0577227i
\(371\) 12.3797 0.642724
\(372\) 1.75630 + 9.48237i 0.0910601 + 0.491638i
\(373\) −7.27462 −0.376665 −0.188333 0.982105i \(-0.560308\pi\)
−0.188333 + 0.982105i \(0.560308\pi\)
\(374\) −19.6790 + 6.39409i −1.01758 + 0.330630i
\(375\) 0.910922 + 1.47317i 0.0470398 + 0.0760740i
\(376\) −1.93057 + 1.40264i −0.0995616 + 0.0723358i
\(377\) 7.70857 4.45055i 0.397012 0.229215i
\(378\) −6.11625 + 3.41696i −0.314586 + 0.175749i
\(379\) 2.67747 + 25.4745i 0.137533 + 1.30853i 0.817771 + 0.575544i \(0.195210\pi\)
−0.680238 + 0.732991i \(0.738124\pi\)
\(380\) −1.08546 + 1.49401i −0.0556829 + 0.0766409i
\(381\) 8.77590 30.0702i 0.449603 1.54054i
\(382\) −5.28719 + 5.87202i −0.270516 + 0.300438i
\(383\) 9.47373 + 4.21798i 0.484085 + 0.215528i 0.634243 0.773133i \(-0.281312\pi\)
−0.150158 + 0.988662i \(0.547978\pi\)
\(384\) 1.60286 + 0.656391i 0.0817955 + 0.0334963i
\(385\) −1.03438 4.86639i −0.0527170 0.248014i
\(386\) 3.68868 + 8.28492i 0.187749 + 0.421691i
\(387\) −22.8443 18.1969i −1.16124 0.925001i
\(388\) 5.28208 16.2566i 0.268157 0.825302i
\(389\) 5.12581 2.28216i 0.259889 0.115710i −0.272657 0.962111i \(-0.587902\pi\)
0.532545 + 0.846401i \(0.321236\pi\)
\(390\) 11.3483 0.342806i 0.574642 0.0173586i
\(391\) 27.4052 + 5.82515i 1.38594 + 0.294591i
\(392\) 2.10774 4.73406i 0.106457 0.239106i
\(393\) −17.6148 + 13.6292i −0.888551 + 0.687500i
\(394\) −9.83955 1.03418i −0.495709 0.0521011i
\(395\) 0.659922 + 0.479461i 0.0332043 + 0.0241243i
\(396\) −2.77901 + 10.7152i −0.139651 + 0.538458i
\(397\) 9.09073 15.7456i 0.456251 0.790249i −0.542509 0.840050i \(-0.682525\pi\)
0.998759 + 0.0498011i \(0.0158588\pi\)
\(398\) −0.000696899 0.00120706i −3.49324e−5 6.05047e-5i
\(399\) 1.87227 + 3.88504i 0.0937308 + 0.194495i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −4.54601 13.9912i −0.227017 0.698686i −0.998081 0.0619279i \(-0.980275\pi\)
0.771064 0.636758i \(-0.219725\pi\)
\(402\) 0.170386 + 0.0308714i 0.00849806 + 0.00153973i
\(403\) −25.6998 25.9132i −1.28020 1.29083i
\(404\) 13.4290i 0.668120i
\(405\) −8.27969 3.52800i −0.411421 0.175308i
\(406\) −1.36063 + 1.22511i −0.0675267 + 0.0608013i
\(407\) 7.79287 + 10.7260i 0.386278 + 0.531667i
\(408\) 3.27896 + 9.14255i 0.162332 + 0.452624i
\(409\) 14.5021 + 8.37278i 0.717082 + 0.414007i 0.813678 0.581316i \(-0.197462\pi\)
−0.0965959 + 0.995324i \(0.530795\pi\)
\(410\) 2.42432 0.254806i 0.119729 0.0125840i
\(411\) −4.58884 + 4.38983i −0.226351 + 0.216534i
\(412\) 0.815757 7.76141i 0.0401894 0.382377i
\(413\) −9.86457 8.88210i −0.485404 0.437060i
\(414\) 10.5132 10.6835i 0.516694 0.525067i
\(415\) −0.955433 + 4.49496i −0.0469004 + 0.220649i
\(416\) −6.41167 + 1.36284i −0.314358 + 0.0668189i
\(417\) −12.2919 + 3.00333i −0.601938 + 0.147074i
\(418\) 6.48060 + 2.10567i 0.316976 + 0.102992i
\(419\) −35.0985 11.4042i −1.71468 0.557132i −0.723575 0.690246i \(-0.757502\pi\)
−0.991101 + 0.133114i \(0.957502\pi\)
\(420\) −2.26860 + 0.554294i −0.110696 + 0.0270468i
\(421\) −26.3891 + 5.60917i −1.28613 + 0.273374i −0.799728 0.600363i \(-0.795023\pi\)
−0.486398 + 0.873737i \(0.661689\pi\)
\(422\) −2.85373 + 13.4257i −0.138917 + 0.653554i
\(423\) −5.02130 + 5.10267i −0.244144 + 0.248100i
\(424\) −6.82333 6.14375i −0.331370 0.298367i
\(425\) 0.586161 5.57695i 0.0284330 0.270522i
\(426\) −10.1225 + 9.68349i −0.490436 + 0.469167i
\(427\) 2.28193 0.239841i 0.110430 0.0116067i
\(428\) −5.61972 3.24455i −0.271639 0.156831i
\(429\) −14.1427 39.4335i −0.682818 1.90387i
\(430\) −5.72228 7.87605i −0.275953 0.379817i
\(431\) −18.9781 + 17.0880i −0.914144 + 0.823099i −0.984673 0.174411i \(-0.944198\pi\)
0.0705290 + 0.997510i \(0.477531\pi\)
\(432\) 5.06684 + 1.15202i 0.243778 + 0.0554265i
\(433\) 24.3011i 1.16783i −0.811813 0.583917i \(-0.801519\pi\)
0.811813 0.583917i \(-0.198481\pi\)
\(434\) 6.27898 + 4.11464i 0.301401 + 0.197509i
\(435\) −2.31432 0.419321i −0.110963 0.0201049i
\(436\) 6.04369 + 18.6006i 0.289440 + 0.890805i
\(437\) −6.17379 6.85669i −0.295333 0.328000i
\(438\) 2.77633 + 5.76100i 0.132658 + 0.275271i
\(439\) −13.2566 22.9611i −0.632702 1.09587i −0.986997 0.160738i \(-0.948612\pi\)
0.354295 0.935134i \(-0.384721\pi\)
\(440\) −1.84495 + 3.19554i −0.0879544 + 0.152341i
\(441\) 3.90284 15.0483i 0.185849 0.716588i
\(442\) −29.7377 21.6057i −1.41448 1.02768i
\(443\) −20.8207 2.18835i −0.989223 0.103972i −0.403927 0.914791i \(-0.632355\pi\)
−0.585296 + 0.810820i \(0.699022\pi\)
\(444\) 4.92207 3.80836i 0.233591 0.180737i
\(445\) −4.68501 + 10.5227i −0.222091 + 0.498825i
\(446\) −12.3612 2.62744i −0.585318 0.124413i
\(447\) −38.0987 + 1.15088i −1.80201 + 0.0544346i
\(448\) 1.23174 0.548405i 0.0581942 0.0259097i
\(449\) −4.74159 + 14.5931i −0.223770 + 0.688692i 0.774644 + 0.632397i \(0.217929\pi\)
−0.998414 + 0.0562953i \(0.982071\pi\)
\(450\) −2.34654 1.86916i −0.110617 0.0881131i
\(451\) −3.65850 8.21712i −0.172272 0.386929i
\(452\) 3.54609 + 16.6830i 0.166794 + 0.784704i
\(453\) 31.9797 + 13.0961i 1.50254 + 0.615308i
\(454\) 10.2056 + 4.54382i 0.478972 + 0.213252i
\(455\) 5.91379 6.56793i 0.277243 0.307909i
\(456\) 0.896110 3.07048i 0.0419642 0.143788i
\(457\) −14.7381 + 20.2853i −0.689420 + 0.948906i −0.999999 0.00164220i \(-0.999477\pi\)
0.310578 + 0.950548i \(0.399477\pi\)
\(458\) −1.24845 11.8782i −0.0583364 0.555034i
\(459\) 14.2113 + 25.4378i 0.663326 + 1.18733i
\(460\) 4.32690 2.49814i 0.201743 0.116476i
\(461\) 2.19286 1.59321i 0.102132 0.0742030i −0.535547 0.844505i \(-0.679895\pi\)
0.637679 + 0.770302i \(0.279895\pi\)
\(462\) 4.53193 + 7.32916i 0.210844 + 0.340983i
\(463\) −5.76377 + 1.87276i −0.267865 + 0.0870346i −0.439870 0.898061i \(-0.644975\pi\)
0.172005 + 0.985096i \(0.444975\pi\)
\(464\) 1.35793 0.0630402
\(465\) 0.755504 + 9.61401i 0.0350357 + 0.445839i
\(466\) 11.4664 0.531171
\(467\) 38.1428 12.3933i 1.76504 0.573495i 0.767335 0.641247i \(-0.221583\pi\)
0.997702 + 0.0677518i \(0.0215826\pi\)
\(468\) −18.3014 + 7.19453i −0.845981 + 0.332567i
\(469\) 0.109052 0.0792307i 0.00503554 0.00365853i
\(470\) −2.06661 + 1.19316i −0.0953257 + 0.0550363i
\(471\) −11.5307 9.76825i −0.531305 0.450097i
\(472\) 1.02908 + 9.79108i 0.0473674 + 0.450671i
\(473\) −21.1146 + 29.0618i −0.970851 + 1.33626i
\(474\) −1.35627 0.395823i −0.0622954 0.0181808i
\(475\) −1.23568 + 1.37236i −0.0566969 + 0.0629682i
\(476\) 6.90718 + 3.07528i 0.316590 + 0.140955i
\(477\) −23.2211 14.8160i −1.06322 0.678377i
\(478\) 2.99569 + 14.0936i 0.137020 + 0.644627i
\(479\) 6.66205 + 14.9632i 0.304397 + 0.683687i 0.999375 0.0353439i \(-0.0112527\pi\)
−0.694978 + 0.719031i \(0.744586\pi\)
\(480\) 1.52546 + 0.820340i 0.0696276 + 0.0374432i
\(481\) −7.27804 + 22.3995i −0.331850 + 1.02133i
\(482\) −11.5711 + 5.15179i −0.527049 + 0.234657i
\(483\) −0.352303 11.6627i −0.0160303 0.530669i
\(484\) 2.55816 + 0.543754i 0.116280 + 0.0247161i
\(485\) 6.95241 15.6154i 0.315693 0.709058i
\(486\) 15.5618 + 0.910574i 0.705899 + 0.0413045i
\(487\) 16.9421 + 1.78068i 0.767719 + 0.0806905i 0.480288 0.877111i \(-0.340532\pi\)
0.287431 + 0.957801i \(0.407199\pi\)
\(488\) −1.37676 1.00027i −0.0623229 0.0452802i
\(489\) 15.9010 + 1.18716i 0.719069 + 0.0536853i
\(490\) 2.59104 4.48780i 0.117051 0.202738i
\(491\) −17.0000 29.4448i −0.767197 1.32882i −0.939077 0.343706i \(-0.888318\pi\)
0.171880 0.985118i \(-0.445016\pi\)
\(492\) −3.80354 + 1.83299i −0.171477 + 0.0826377i
\(493\) 5.09530 + 5.65890i 0.229481 + 0.254864i
\(494\) 3.74062 + 11.5125i 0.168299 + 0.517970i
\(495\) −3.88383 + 10.3660i −0.174565 + 0.465916i
\(496\) −1.41879 5.38396i −0.0637055 0.241747i
\(497\) 10.9048i 0.489145i
\(498\) −1.07062 7.88710i −0.0479756 0.353429i
\(499\) 23.7219 21.3593i 1.06194 0.956175i 0.0628161 0.998025i \(-0.479992\pi\)
0.999124 + 0.0418500i \(0.0133252\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −7.87892 + 2.82576i −0.352004 + 0.126246i
\(502\) 1.74059 + 1.00493i 0.0776861 + 0.0448521i
\(503\) −14.4287 + 1.51652i −0.643344 + 0.0676182i −0.420582 0.907255i \(-0.638174\pi\)
−0.222762 + 0.974873i \(0.571507\pi\)
\(504\) 3.37454 2.23021i 0.150314 0.0993416i
\(505\) −1.40372 + 13.3555i −0.0624646 + 0.594311i
\(506\) −13.7004 12.3359i −0.609057 0.548398i
\(507\) 29.2267 42.8933i 1.29800 1.90496i
\(508\) −3.76014 + 17.6901i −0.166829 + 0.784870i
\(509\) 22.9726 4.88298i 1.01824 0.216434i 0.331593 0.943423i \(-0.392414\pi\)
0.686650 + 0.726989i \(0.259081\pi\)
\(510\) 2.30534 + 9.43521i 0.102082 + 0.417798i
\(511\) 4.73457 + 1.53835i 0.209445 + 0.0680528i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 1.13771 9.52802i 0.0502310 0.420672i
\(514\) −2.98056 + 0.633538i −0.131467 + 0.0279442i
\(515\) 1.62258 7.63362i 0.0714992 0.336377i
\(516\) 13.9348 + 9.49487i 0.613444 + 0.417988i
\(517\) 6.54358 + 5.89187i 0.287786 + 0.259124i
\(518\) 0.506394 4.81801i 0.0222497 0.211691i
\(519\) 18.6722 + 19.5187i 0.819619 + 0.856776i
\(520\) −6.51900 + 0.685175i −0.285877 + 0.0300469i
\(521\) 0.279080 + 0.161127i 0.0122267 + 0.00705909i 0.506101 0.862474i \(-0.331086\pi\)
−0.493874 + 0.869533i \(0.664420\pi\)
\(522\) 4.01838 0.669598i 0.175880 0.0293075i
\(523\) −2.32621 3.20175i −0.101718 0.140003i 0.755124 0.655582i \(-0.227577\pi\)
−0.856842 + 0.515579i \(0.827577\pi\)
\(524\) 9.55586 8.60413i 0.417449 0.375873i
\(525\) −2.31411 + 0.314124i −0.100996 + 0.0137095i
\(526\) 2.75167i 0.119978i
\(527\) 17.1130 26.1146i 0.745453 1.13757i
\(528\) 1.13942 6.28869i 0.0495869 0.273680i
\(529\) 0.606523 + 1.86669i 0.0263706 + 0.0811603i
\(530\) −6.14375 6.82333i −0.266867 0.296386i
\(531\) 7.87327 + 28.4663i 0.341671 + 1.23533i
\(532\) −1.24495 2.15632i −0.0539756 0.0934885i
\(533\) 7.98937 13.8380i 0.346058 0.599390i
\(534\) 1.48537 19.8953i 0.0642784 0.860955i
\(535\) −5.24979 3.81419i −0.226968 0.164902i
\(536\) −0.0994262 0.0104501i −0.00429456 0.000451376i
\(537\) −15.2993 19.7733i −0.660212 0.853283i
\(538\) 9.39610 21.1040i 0.405095 0.909857i
\(539\) −18.7034 3.97554i −0.805614 0.171239i
\(540\) 4.91866 + 1.67534i 0.211666 + 0.0720950i
\(541\) −21.9320 + 9.76476i −0.942931 + 0.419820i −0.819851 0.572577i \(-0.805944\pi\)
−0.123080 + 0.992397i \(0.539277\pi\)
\(542\) 6.07062 18.6835i 0.260756 0.802523i
\(543\) 7.91641 14.7210i 0.339726 0.631738i
\(544\) −2.28084 5.12286i −0.0977904 0.219641i
\(545\) 4.06629 + 19.1304i 0.174181 + 0.819456i
\(546\) −5.80120 + 14.1661i −0.248269 + 0.606253i
\(547\) 35.6735 + 15.8829i 1.52529 + 0.679103i 0.986564 0.163378i \(-0.0522390\pi\)
0.538726 + 0.842481i \(0.318906\pi\)
\(548\) 2.45332 2.72469i 0.104801 0.116393i
\(549\) −4.56734 2.28112i −0.194929 0.0973559i
\(550\) −2.16886 + 2.98519i −0.0924807 + 0.127289i
\(551\) −0.262124 2.49394i −0.0111668 0.106245i
\(552\) −5.59370 + 6.60293i −0.238084 + 0.281040i
\(553\) −0.952476 + 0.549912i −0.0405034 + 0.0233846i
\(554\) −1.23631 + 0.898235i −0.0525260 + 0.0381624i
\(555\) 5.29319 3.27300i 0.224683 0.138931i
\(556\) 6.94795 2.25753i 0.294659 0.0957405i
\(557\) 7.27305 0.308169 0.154085 0.988058i \(-0.450757\pi\)
0.154085 + 0.988058i \(0.450757\pi\)
\(558\) −6.85332 15.2326i −0.290124 0.644847i
\(559\) −63.8142 −2.69905
\(560\) 1.28232 0.416649i 0.0541877 0.0176067i
\(561\) 30.4823 18.8485i 1.28696 0.795785i
\(562\) 12.6336 9.17888i 0.532918 0.387188i
\(563\) 7.52484 4.34447i 0.317134 0.183098i −0.332980 0.942934i \(-0.608054\pi\)
0.650114 + 0.759836i \(0.274721\pi\)
\(564\) 2.67166 3.15369i 0.112497 0.132794i
\(565\) 1.78281 + 16.9623i 0.0750034 + 0.713610i
\(566\) 14.6897 20.2186i 0.617452 0.849850i
\(567\) 8.88620 8.26364i 0.373185 0.347040i
\(568\) 5.41176 6.01036i 0.227072 0.252189i
\(569\) 31.4886 + 14.0196i 1.32007 + 0.587734i 0.941242 0.337732i \(-0.109660\pi\)
0.378830 + 0.925466i \(0.376326\pi\)
\(570\) 1.21215 2.95999i 0.0507715 0.123980i
\(571\) 3.60439 + 16.9573i 0.150839 + 0.709641i 0.986943 + 0.161070i \(0.0514946\pi\)
−0.836104 + 0.548571i \(0.815172\pi\)
\(572\) 9.83771 + 22.0959i 0.411335 + 0.923874i
\(573\) 6.48198 12.0536i 0.270788 0.503545i
\(574\) −1.01566 + 3.12587i −0.0423926 + 0.130471i
\(575\) 4.56432 2.03217i 0.190345 0.0847472i
\(576\) −2.96674 0.445473i −0.123614 0.0185614i
\(577\) 34.1756 + 7.26426i 1.42275 + 0.302415i 0.854076 0.520148i \(-0.174123\pi\)
0.568674 + 0.822563i \(0.307456\pi\)
\(578\) 5.87569 13.1970i 0.244397 0.548924i
\(579\) −9.61238 12.4234i −0.399477 0.516299i
\(580\) 1.35049 + 0.141942i 0.0560760 + 0.00589382i
\(581\) −5.01265 3.64191i −0.207960 0.151092i
\(582\) −2.20425 + 29.5240i −0.0913690 + 1.22381i
\(583\) −16.9397 + 29.3405i −0.701572 + 1.21516i
\(584\) −1.84610 3.19754i −0.0763922 0.132315i
\(585\) −18.9532 + 5.24211i −0.783616 + 0.216734i
\(586\) 12.5551 + 13.9438i 0.518646 + 0.576015i
\(587\) 3.57253 + 10.9951i 0.147454 + 0.453817i 0.997318 0.0731846i \(-0.0233162\pi\)
−0.849864 + 0.527001i \(0.823316\pi\)
\(588\) −1.60020 + 8.83181i −0.0659910 + 0.364218i
\(589\) −9.61419 + 3.64499i −0.396146 + 0.150189i
\(590\) 9.84501i 0.405313i
\(591\) 16.9807 2.30502i 0.698494 0.0948157i
\(592\) −2.67017 + 2.40423i −0.109743 + 0.0988133i
\(593\) −23.8530 32.8309i −0.979527 1.34820i −0.937084 0.349104i \(-0.886486\pi\)
−0.0424432 0.999099i \(-0.513514\pi\)
\(594\) 0.270794 19.1713i 0.0111108 0.786609i
\(595\) 6.54789 + 3.78043i 0.268437 + 0.154982i
\(596\) 21.8858 2.30029i 0.896476 0.0942235i
\(597\) 0.00166880 + 0.00174445i 6.82994e−5 + 7.13958e-5i
\(598\) 3.42332 32.5707i 0.139990 1.33192i
\(599\) −14.6629 13.2025i −0.599109 0.539440i 0.312807 0.949817i \(-0.398731\pi\)
−0.911916 + 0.410377i \(0.865397\pi\)
\(600\) 1.43136 + 0.975300i 0.0584350 + 0.0398165i
\(601\) −4.27992 + 20.1354i −0.174581 + 0.821341i 0.800472 + 0.599370i \(0.204582\pi\)
−0.975053 + 0.221971i \(0.928751\pi\)
\(602\) 12.8394 2.72909i 0.523294 0.111229i
\(603\) −0.299375 + 0.0181034i −0.0121915 + 0.000737227i
\(604\) −18.9752 6.16540i −0.772088 0.250867i
\(605\) 2.48731 + 0.808175i 0.101123 + 0.0328570i
\(606\) −5.52074 22.5951i −0.224265 0.917864i
\(607\) 11.6656 2.47959i 0.473491 0.100644i 0.0350154 0.999387i \(-0.488852\pi\)
0.438475 + 0.898743i \(0.355519\pi\)
\(608\) −0.383949 + 1.80634i −0.0155712 + 0.0732567i
\(609\) 1.78568 2.62068i 0.0723594 0.106195i
\(610\) −1.26466 1.13870i −0.0512045 0.0461048i
\(611\) −1.63504 + 15.5564i −0.0661468 + 0.629345i
\(612\) −9.27557 14.0349i −0.374943 0.567326i
\(613\) 6.57914 0.691495i 0.265729 0.0279292i 0.0292730 0.999571i \(-0.490681\pi\)
0.236456 + 0.971642i \(0.424014\pi\)
\(614\) 9.30219 + 5.37062i 0.375406 + 0.216741i
\(615\) −3.97430 + 1.42537i −0.160259 + 0.0574766i
\(616\) −2.92429 4.02494i −0.117823 0.162170i
\(617\) −25.7361 + 23.1729i −1.03610 + 0.932905i −0.997796 0.0663609i \(-0.978861\pi\)
−0.0383007 + 0.999266i \(0.512194\pi\)
\(618\) 1.81819 + 13.3944i 0.0731383 + 0.538800i
\(619\) 27.1275i 1.09035i −0.838323 0.545174i \(-0.816464\pi\)
0.838323 0.545174i \(-0.183536\pi\)
\(620\) −0.848238 5.50277i −0.0340661 0.220997i
\(621\) −13.2969 + 22.2977i −0.533588 + 0.894774i
\(622\) −2.70769 8.33342i −0.108569 0.334140i
\(623\) −10.3919 11.5414i −0.416345 0.462398i
\(624\) 10.2277 4.92892i 0.409437 0.197315i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 4.37695 7.58110i 0.174938 0.303002i
\(627\) −11.7696 0.878713i −0.470033 0.0350924i
\(628\) 7.05864 + 5.12841i 0.281671 + 0.204646i
\(629\) −20.0383 2.10611i −0.798981 0.0839763i
\(630\) 3.58917 1.86526i 0.142996 0.0743138i
\(631\) 5.92265 13.3025i 0.235777 0.529564i −0.756443 0.654059i \(-0.773065\pi\)
0.992220 + 0.124496i \(0.0397313\pi\)
\(632\) 0.797883 + 0.169595i 0.0317381 + 0.00674614i
\(633\) −0.717818 23.7627i −0.0285307 0.944483i
\(634\) 20.2279 9.00605i 0.803353 0.357676i
\(635\) −5.58866 + 17.2001i −0.221779 + 0.682566i
\(636\) 14.0063 + 7.53211i 0.555388 + 0.298667i
\(637\) −13.8160 31.0313i −0.547411 1.22951i
\(638\) −1.04176 4.90111i −0.0412438 0.194037i
\(639\) 13.0507 20.4544i 0.516279 0.809164i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −21.8840 + 24.3046i −0.864364 + 0.959974i −0.999524 0.0308500i \(-0.990179\pi\)
0.135160 + 0.990824i \(0.456845\pi\)
\(642\) 10.7893 + 3.14884i 0.425821 + 0.124275i
\(643\) −4.77787 + 6.57618i −0.188421 + 0.259339i −0.892768 0.450516i \(-0.851240\pi\)
0.704347 + 0.709856i \(0.251240\pi\)
\(644\) 0.704157 + 6.69960i 0.0277477 + 0.264001i
\(645\) 12.8659 + 10.8994i 0.506596 + 0.429165i
\(646\) −8.96825 + 5.17782i −0.352851 + 0.203719i
\(647\) −23.6320 + 17.1696i −0.929068 + 0.675008i −0.945764 0.324853i \(-0.894685\pi\)
0.0166963 + 0.999861i \(0.494685\pi\)
\(648\) −8.99884 + 0.144665i −0.353508 + 0.00568298i
\(649\) 34.5491 11.2257i 1.35617 0.440646i
\(650\) −6.55491 −0.257105
\(651\) −12.2563 4.34179i −0.480361 0.170168i
\(652\) −9.20601 −0.360535
\(653\) 33.8569 11.0008i 1.32492 0.430493i 0.440739 0.897635i \(-0.354716\pi\)
0.884182 + 0.467142i \(0.154716\pi\)
\(654\) −17.8156 28.8119i −0.696645 1.12663i
\(655\) 10.4029 7.55814i 0.406474 0.295321i
\(656\) 2.11109 1.21884i 0.0824241 0.0475876i
\(657\) −7.03970 8.55184i −0.274645 0.333639i
\(658\) −0.336319 3.19986i −0.0131111 0.124744i
\(659\) −3.17686 + 4.37258i −0.123753 + 0.170331i −0.866398 0.499354i \(-0.833571\pi\)
0.742645 + 0.669685i \(0.233571\pi\)
\(660\) 1.79052 6.13514i 0.0696961 0.238810i
\(661\) 17.8559 19.8310i 0.694513 0.771335i −0.287979 0.957637i \(-0.592983\pi\)
0.982493 + 0.186302i \(0.0596502\pi\)
\(662\) 21.6946 + 9.65908i 0.843186 + 0.375411i
\(663\) 58.9174 + 24.1275i 2.28816 + 0.937033i
\(664\) 0.955433 + 4.49496i 0.0370780 + 0.174438i
\(665\) −1.01274 2.27464i −0.0392723 0.0882069i
\(666\) −6.71602 + 8.43126i −0.260241 + 0.326705i
\(667\) −2.09655 + 6.45252i −0.0811787 + 0.249842i
\(668\) 4.41481 1.96560i 0.170814 0.0760513i
\(669\) 21.8785 0.660900i 0.845871 0.0255519i
\(670\) −0.0977892 0.0207857i −0.00377793 0.000803023i
\(671\) −2.55404 + 5.73646i −0.0985975 + 0.221454i
\(672\) −1.84702 + 1.42910i −0.0712502 + 0.0551286i
\(673\) −0.998611 0.104958i −0.0384936 0.00404584i 0.0852621 0.996359i \(-0.472827\pi\)
−0.123756 + 0.992313i \(0.539494\pi\)
\(674\) −17.9753 13.0598i −0.692382 0.503045i
\(675\) 4.71660 + 2.18030i 0.181542 + 0.0839197i
\(676\) −14.9834 + 25.9521i −0.576286 + 0.998156i
\(677\) 0.696025 + 1.20555i 0.0267504 + 0.0463331i 0.879091 0.476655i \(-0.158151\pi\)
−0.852340 + 0.522988i \(0.824817\pi\)
\(678\) −12.8250 26.6123i −0.492540 1.02204i
\(679\) 15.4213 + 17.1271i 0.591816 + 0.657278i
\(680\) −1.73286 5.33321i −0.0664523 0.204519i
\(681\) −19.0395 3.44967i −0.729594 0.132192i
\(682\) −18.3437 + 9.25120i −0.702415 + 0.354247i
\(683\) 35.0354i 1.34059i −0.742093 0.670297i \(-0.766167\pi\)
0.742093 0.670297i \(-0.233833\pi\)
\(684\) −0.245470 + 5.53464i −0.00938579 + 0.211622i
\(685\) 2.72469 2.45332i 0.104105 0.0937365i
\(686\) 9.65447 + 13.2882i 0.368609 + 0.507347i
\(687\) 6.98379 + 19.4726i 0.266448 + 0.742924i
\(688\) −8.43104 4.86767i −0.321431 0.185578i
\(689\) −59.8555 + 6.29106i −2.28031 + 0.239670i
\(690\) −6.25326 + 5.98206i −0.238057 + 0.227733i
\(691\) −3.69038 + 35.1116i −0.140389 + 1.33571i 0.666721 + 0.745307i \(0.267697\pi\)
−0.807110 + 0.590402i \(0.798969\pi\)
\(692\) −11.5895 10.4352i −0.440566 0.396688i
\(693\) −10.6383 10.4686i −0.404115 0.397670i
\(694\) −5.24013 + 24.6529i −0.198912 + 0.935809i
\(695\) 7.14587 1.51890i 0.271058 0.0576152i
\(696\) −2.28479 + 0.558250i −0.0866047 + 0.0211604i
\(697\) 13.0006 + 4.22416i 0.492434 + 0.160001i
\(698\) 33.8353 + 10.9937i 1.28068 + 0.416120i
\(699\) −19.2929 + 4.71389i −0.729724 + 0.178296i
\(700\) 1.31884 0.280329i 0.0498476 0.0105954i
\(701\) 7.03182 33.0821i 0.265588 1.24949i −0.619844 0.784725i \(-0.712804\pi\)
0.885432 0.464769i \(-0.153862\pi\)
\(702\) 27.8354 19.6290i 1.05058 0.740848i
\(703\) 4.93098 + 4.43988i 0.185976 + 0.167453i
\(704\) −0.385699 + 3.66968i −0.0145366 + 0.138306i
\(705\) 2.98668 2.85715i 0.112485 0.107606i
\(706\) 28.4049 2.98548i 1.06903 0.112360i
\(707\) −15.6807 9.05323i −0.589732 0.340482i
\(708\) −5.75665 16.0510i −0.216348 0.603233i
\(709\) 10.7375 + 14.7790i 0.403257 + 0.555035i 0.961558 0.274603i \(-0.0885465\pi\)
−0.558301 + 0.829639i \(0.688547\pi\)
\(710\) 6.01036 5.41176i 0.225565 0.203100i
\(711\) 2.44472 + 0.108427i 0.0916842 + 0.00406634i
\(712\) 11.5185i 0.431676i
\(713\) 27.7737 + 1.57077i 1.04013 + 0.0588258i
\(714\) −12.8860 2.33475i −0.482246 0.0873759i
\(715\) 7.47417 + 23.0031i 0.279518 + 0.860268i
\(716\) 9.65847 + 10.7268i 0.360954 + 0.400880i
\(717\) −10.8344 22.4817i −0.404616 0.839596i
\(718\) 14.8202 + 25.6693i 0.553083 + 0.957969i
\(719\) 12.9139 22.3676i 0.481608 0.834170i −0.518169 0.855278i \(-0.673386\pi\)
0.999777 + 0.0211085i \(0.00671956\pi\)
\(720\) −2.90392 0.753142i −0.108223 0.0280679i
\(721\) 8.51279 + 6.18491i 0.317033 + 0.230338i
\(722\) −15.5043 1.62957i −0.577011 0.0606463i
\(723\) 17.3511 13.4251i 0.645294 0.499285i
\(724\) −3.92507 + 8.81586i −0.145874 + 0.327639i
\(725\) 1.32825 + 0.282329i 0.0493301 + 0.0104854i
\(726\) −4.52778 + 0.136774i −0.168042 + 0.00507617i
\(727\) −18.0501 + 8.03641i −0.669440 + 0.298054i −0.713172 0.700989i \(-0.752742\pi\)
0.0437315 + 0.999043i \(0.486075\pi\)
\(728\) 2.73110 8.40546i 0.101221 0.311527i
\(729\) −26.5580 + 4.86545i −0.983630 + 0.180202i
\(730\) −1.50175 3.37300i −0.0555824 0.124840i
\(731\) −11.3504 53.3995i −0.419811 1.97505i
\(732\) 2.72769 + 1.11702i 0.100818 + 0.0412864i
\(733\) 25.0288 + 11.1435i 0.924459 + 0.411596i 0.813060 0.582180i \(-0.197800\pi\)
0.111399 + 0.993776i \(0.464467\pi\)
\(734\) 10.0764 11.1910i 0.371928 0.413068i
\(735\) −2.51461 + 8.61617i −0.0927526 + 0.317812i
\(736\) 2.93674 4.04207i 0.108250 0.148993i
\(737\) 0.0385598 + 0.366872i 0.00142037 + 0.0135139i
\(738\) 5.64611 4.64776i 0.207836 0.171086i
\(739\) −33.9689 + 19.6120i −1.24957 + 0.721438i −0.971023 0.238985i \(-0.923185\pi\)
−0.278545 + 0.960423i \(0.589852\pi\)
\(740\) −2.90685 + 2.11195i −0.106858 + 0.0776369i
\(741\) −11.0266 17.8326i −0.405073 0.655096i
\(742\) 11.7738 3.82555i 0.432231 0.140440i
\(743\) 44.4963 1.63241 0.816206 0.577761i \(-0.196073\pi\)
0.816206 + 0.577761i \(0.196073\pi\)
\(744\) 4.60056 + 8.47554i 0.168665 + 0.310729i
\(745\) 22.0063 0.806250
\(746\) −6.91857 + 2.24798i −0.253307 + 0.0823044i
\(747\) 5.04379 + 12.8303i 0.184543 + 0.469438i
\(748\) −16.7399 + 12.1623i −0.612073 + 0.444697i
\(749\) 7.57710 4.37464i 0.276861 0.159846i
\(750\) 1.32157 + 1.11958i 0.0482570 + 0.0408811i
\(751\) −2.67618 25.4622i −0.0976552 0.929127i −0.928176 0.372140i \(-0.878624\pi\)
0.830521 0.556987i \(-0.188043\pi\)
\(752\) −1.40264 + 1.93057i −0.0511491 + 0.0704007i
\(753\) −3.34176 0.975285i −0.121781 0.0355413i
\(754\) 5.95599 6.61480i 0.216905 0.240897i
\(755\) −18.2268 8.11507i −0.663339 0.295338i
\(756\) −4.76100 + 5.13975i −0.173156 + 0.186931i
\(757\) −3.34305 15.7278i −0.121505 0.571637i −0.996210 0.0869808i \(-0.972278\pi\)
0.874705 0.484656i \(-0.161055\pi\)
\(758\) 10.4185 + 23.4003i 0.378416 + 0.849936i
\(759\) 28.1230 + 15.1235i 1.02080 + 0.548950i
\(760\) −0.570660 + 1.75631i −0.0207000 + 0.0637081i
\(761\) 41.2290 18.3564i 1.49455 0.665417i 0.513311 0.858203i \(-0.328419\pi\)
0.981241 + 0.192786i \(0.0617522\pi\)
\(762\) −0.945815 31.3103i −0.0342633 1.13425i
\(763\) −25.7936 5.48261i −0.933792 0.198484i
\(764\) −3.21386 + 7.21845i −0.116273 + 0.261154i
\(765\) −7.75771 14.9275i −0.280481 0.539706i
\(766\) 10.3135 + 1.08399i 0.372641 + 0.0391662i
\(767\) 52.2084 + 37.9317i 1.88514 + 1.36963i
\(768\) 1.72724 + 0.128955i 0.0623265 + 0.00465326i
\(769\) −22.4501 + 38.8847i −0.809571 + 1.40222i 0.103591 + 0.994620i \(0.466967\pi\)
−0.913162 + 0.407597i \(0.866367\pi\)
\(770\) −2.48755 4.30857i −0.0896452 0.155270i
\(771\) 4.75451 2.29129i 0.171230 0.0825186i
\(772\) 6.06833 + 6.73956i 0.218404 + 0.242562i
\(773\) 0.132270 + 0.407084i 0.00475741 + 0.0146418i 0.953407