Properties

Label 930.2.br.b.11.4
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 11.4
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.05992 + 1.36988i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.584727 - 1.63037i) q^{6} +(0.140936 + 1.34092i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.753142 - 2.90392i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.05992 + 1.36988i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.584727 - 1.63037i) q^{6} +(0.140936 + 1.34092i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.753142 - 2.90392i) q^{9} +(0.669131 - 0.743145i) q^{10} +(3.37088 + 1.50081i) q^{11} +(-0.0522975 + 1.73126i) q^{12} +(-1.36284 - 6.41167i) q^{13} +(-0.548405 - 1.23174i) q^{14} +(0.232977 - 1.71631i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-5.12286 + 2.28084i) q^{17} +(1.61364 + 2.52906i) q^{18} +(-1.80634 - 0.383949i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(-1.98628 - 1.22820i) q^{21} +(-3.66968 - 0.385699i) q^{22} +(-4.04207 - 2.93674i) q^{23} +(-0.485251 - 1.66269i) q^{24} +(0.500000 - 0.866025i) q^{25} +(3.27746 + 5.67672i) q^{26} +(4.77630 + 2.04621i) 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} +(-5.62880 + 3.02697i) q^{33} +(4.16731 - 3.75226i) q^{34} +(-0.792514 - 1.09080i) q^{35} +(-2.31619 - 1.90664i) q^{36} +(-3.11169 - 1.79653i) q^{37} +(1.83658 - 0.193032i) q^{38} +(10.2277 + 4.92892i) q^{39} +(0.104528 - 0.994522i) q^{40} +(-1.81154 - 1.63112i) q^{41} +(2.26860 + 0.554294i) q^{42} +(2.02409 - 9.52259i) q^{43} +(3.60926 - 0.767172i) q^{44} +(2.10420 + 2.13830i) q^{45} +(4.75174 + 1.54393i) q^{46} +(2.26952 + 0.737413i) q^{47} +(0.975300 + 1.43136i) q^{48} +(5.06883 - 1.07741i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(2.30534 - 9.43521i) q^{51} +(-4.87125 - 4.38609i) q^{52} +(-0.959748 + 9.13139i) q^{53} +(-5.17484 - 0.470106i) q^{54} +(-3.66968 + 0.385699i) q^{55} +(-1.16767 - 0.674153i) q^{56} +(2.44054 - 2.06751i) q^{57} +(0.798170 + 1.09859i) q^{58} +(7.31627 - 6.58760i) q^{59} +(-0.820340 - 1.52546i) 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} +(4.41793 - 4.61821i) q^{66} +(-0.0499869 - 0.0865799i) q^{67} +(-2.80383 + 4.85638i) q^{68} +(8.30724 - 2.42445i) q^{69} +(1.09080 + 0.792514i) q^{70} +(-8.04344 - 0.845399i) q^{71} +(2.79201 + 1.09758i) q^{72} +(1.50175 - 3.37300i) q^{73} +(3.51455 + 0.747040i) q^{74} +(0.656391 + 1.60286i) q^{75} +(-1.68704 + 0.751118i) q^{76} +(-1.53739 + 4.73161i) q^{77} +(-11.2503 - 1.52714i) q^{78} +(0.331778 + 0.745186i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-7.86555 + 4.37414i) q^{81} +(2.22693 + 0.991491i) q^{82} +(3.07491 - 3.41503i) q^{83} +(-2.32885 + 0.173871i) q^{84} +(3.29610 - 4.53670i) q^{85} +(1.01762 + 9.68200i) q^{86} +(2.21392 + 0.794017i) q^{87} +(-3.19554 + 1.84495i) q^{88} +(9.31870 - 6.77043i) q^{89} +(-2.66199 - 1.38341i) q^{90} +(8.40546 - 2.73110i) q^{91} -4.99627 q^{92} +(-0.835004 + 9.60743i) q^{93} -2.38632 q^{94} +(1.75631 - 0.570660i) q^{95} +(-1.36988 - 1.05992i) q^{96} +(13.8287 - 10.0471i) q^{97} +(-4.48780 + 2.59104i) q^{98} +(1.81950 - 10.9191i) 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
\(3\) −1.05992 + 1.36988i −0.611945 + 0.790901i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 0.584727 1.63037i 0.238714 0.665594i
\(7\) 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
\(9\) −0.753142 2.90392i −0.251047 0.967975i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 3.37088 + 1.50081i 1.01636 + 0.452513i 0.846178 0.532900i \(-0.178898\pi\)
0.170182 + 0.985413i \(0.445564\pi\)
\(12\) −0.0522975 + 1.73126i −0.0150970 + 0.499772i
\(13\) −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
\(15\) 0.232977 1.71631i 0.0601544 0.443149i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −5.12286 + 2.28084i −1.24248 + 0.553186i −0.919451 0.393204i \(-0.871366\pi\)
−0.323025 + 0.946390i \(0.604700\pi\)
\(18\) 1.61364 + 2.52906i 0.380339 + 0.596106i
\(19\) −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
\(21\) −1.98628 1.22820i −0.433442 0.268015i
\(22\) −3.66968 0.385699i −0.782378 0.0822313i
\(23\) −4.04207 2.93674i −0.842830 0.612352i 0.0803298 0.996768i \(-0.474403\pi\)
−0.923160 + 0.384417i \(0.874403\pi\)
\(24\) −0.485251 1.66269i −0.0990515 0.339395i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 3.27746 + 5.67672i 0.642762 + 1.11330i
\(27\) 4.77630 + 2.04621i 0.919199 + 0.393794i
\(28\) 0.902193 + 1.00199i 0.170498 + 0.189358i
\(29\) −0.419623 1.29147i −0.0779220 0.239819i 0.904506 0.426461i \(-0.140240\pi\)
−0.982428 + 0.186641i \(0.940240\pi\)
\(30\) 0.308795 + 1.70430i 0.0563779 + 0.311162i
\(31\) 4.68202 3.01308i 0.840916 0.541166i
\(32\) 1.00000i 0.176777i
\(33\) −5.62880 + 3.02697i −0.979849 + 0.526927i
\(34\) 4.16731 3.75226i 0.714688 0.643508i
\(35\) −0.792514 1.09080i −0.133959 0.184379i
\(36\) −2.31619 1.90664i −0.386031 0.317773i
\(37\) −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
\(39\) 10.2277 + 4.92892i 1.63775 + 0.789259i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) −1.81154 1.63112i −0.282916 0.254738i 0.515439 0.856927i \(-0.327629\pi\)
−0.798354 + 0.602188i \(0.794296\pi\)
\(42\) 2.26860 + 0.554294i 0.350053 + 0.0855295i
\(43\) 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
\(45\) 2.10420 + 2.13830i 0.313676 + 0.318759i
\(46\) 4.75174 + 1.54393i 0.700606 + 0.227641i
\(47\) 2.26952 + 0.737413i 0.331044 + 0.107563i 0.469823 0.882761i \(-0.344318\pi\)
−0.138779 + 0.990323i \(0.544318\pi\)
\(48\) 0.975300 + 1.43136i 0.140772 + 0.206599i
\(49\) 5.06883 1.07741i 0.724119 0.153916i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 2.30534 9.43521i 0.322812 1.32119i
\(52\) −4.87125 4.38609i −0.675521 0.608241i
\(53\) −0.959748 + 9.13139i −0.131832 + 1.25429i 0.705940 + 0.708272i \(0.250525\pi\)
−0.837771 + 0.546021i \(0.816142\pi\)
\(54\) −5.17484 0.470106i −0.704207 0.0639733i
\(55\) −3.66968 + 0.385699i −0.494819 + 0.0520076i
\(56\) −1.16767 0.674153i −0.156036 0.0900875i
\(57\) 2.44054 2.06751i 0.323257 0.273849i
\(58\) 0.798170 + 1.09859i 0.104805 + 0.144251i
\(59\) 7.31627 6.58760i 0.952497 0.857632i −0.0374170 0.999300i \(-0.511913\pi\)
0.989914 + 0.141667i \(0.0452463\pi\)
\(60\) −0.820340 1.52546i −0.105905 0.196937i
\(61\) 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
\(66\) 4.41793 4.61821i 0.543809 0.568462i
\(67\) −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
\(69\) 8.30724 2.42445i 1.00007 0.291869i
\(70\) 1.09080 + 0.792514i 0.130376 + 0.0947236i
\(71\) −8.04344 0.845399i −0.954580 0.100330i −0.385586 0.922672i \(-0.626001\pi\)
−0.568994 + 0.822341i \(0.692667\pi\)
\(72\) 2.79201 + 1.09758i 0.329042 + 0.129351i
\(73\) 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
\(75\) 0.656391 + 1.60286i 0.0757935 + 0.185082i
\(76\) −1.68704 + 0.751118i −0.193517 + 0.0861591i
\(77\) −1.53739 + 4.73161i −0.175202 + 0.539217i
\(78\) −11.2503 1.52714i −1.27384 0.172915i
\(79\) 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
\(81\) −7.86555 + 4.37414i −0.873950 + 0.486015i
\(82\) 2.22693 + 0.991491i 0.245923 + 0.109492i
\(83\) 3.07491 3.41503i 0.337515 0.374849i −0.550364 0.834925i \(-0.685511\pi\)
0.887880 + 0.460076i \(0.152178\pi\)
\(84\) −2.32885 + 0.173871i −0.254099 + 0.0189709i
\(85\) 3.29610 4.53670i 0.357513 0.492074i
\(86\) 1.01762 + 9.68200i 0.109733 + 1.04404i
\(87\) 2.21392 + 0.794017i 0.237357 + 0.0851275i
\(88\) −3.19554 + 1.84495i −0.340646 + 0.196672i
\(89\) 9.31870 6.77043i 0.987780 0.717664i 0.0283463 0.999598i \(-0.490976\pi\)
0.959434 + 0.281934i \(0.0909759\pi\)
\(90\) −2.66199 1.38341i −0.280598 0.145824i
\(91\) 8.40546 2.73110i 0.881132 0.286297i
\(92\) −4.99627 −0.520898
\(93\) −0.835004 + 9.60743i −0.0865858 + 0.996244i
\(94\) −2.38632 −0.246130
\(95\) 1.75631 0.570660i 0.180194 0.0585485i
\(96\) −1.36988 1.05992i −0.139813 0.108178i
\(97\) 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
\(99\) 1.81950 10.9191i 0.182866 1.09741i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 7.89339 10.8643i 0.785422 1.08104i −0.209241 0.977864i \(-0.567099\pi\)
0.994663 0.103177i \(-0.0329007\pi\)
\(102\) 0.723137 + 9.68581i 0.0716012 + 0.959038i
\(103\) 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
\(105\) 2.33427 + 0.0705131i 0.227801 + 0.00688137i
\(106\) −1.90898 8.98105i −0.185417 0.872317i
\(107\) 2.63935 + 5.92808i 0.255156 + 0.573089i 0.995021 0.0996658i \(-0.0317774\pi\)
−0.739865 + 0.672755i \(0.765111\pi\)
\(108\) 5.06684 1.15202i 0.487557 0.110853i
\(109\) −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
\(111\) 5.75917 2.35846i 0.546636 0.223855i
\(112\) 1.31884 + 0.280329i 0.124619 + 0.0264886i
\(113\) 6.93720 15.5812i 0.652597 1.46576i −0.219096 0.975703i \(-0.570311\pi\)
0.871693 0.490053i \(-0.163023\pi\)
\(114\) −1.68219 + 2.72049i −0.157552 + 0.254797i
\(115\) 4.96890 + 0.522253i 0.463353 + 0.0487003i
\(116\) −1.09859 0.798170i −0.102001 0.0741082i
\(117\) −17.5926 + 8.78649i −1.62644 + 0.812311i
\(118\) −4.92251 + 8.52603i −0.453153 + 0.784885i
\(119\) −3.78043 6.54789i −0.346551 0.600244i
\(120\) 1.25158 + 1.19730i 0.114253 + 0.109298i
\(121\) 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
\(126\) −3.16385 + 2.52020i −0.281858 + 0.224517i
\(127\) −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
\(129\) 10.8994 + 12.8659i 0.959642 + 1.13278i
\(130\) −5.67672 3.27746i −0.497881 0.287452i
\(131\) −12.7882 + 1.34410i −1.11731 + 0.117434i −0.645135 0.764069i \(-0.723199\pi\)
−0.472178 + 0.881503i \(0.656532\pi\)
\(132\) −2.77459 + 5.75739i −0.241497 + 0.501117i
\(133\) 0.260266 2.47627i 0.0225679 0.214720i
\(134\) 0.0742950 + 0.0668956i 0.00641811 + 0.00577890i
\(135\) −5.15950 + 0.616078i −0.444059 + 0.0530235i
\(136\) 1.16590 5.48513i 0.0999751 0.470346i
\(137\) −3.58631 + 0.762293i −0.306399 + 0.0651271i −0.358545 0.933512i \(-0.616727\pi\)
0.0521463 + 0.998639i \(0.483394\pi\)
\(138\) −7.15146 + 4.87287i −0.608773 + 0.414806i
\(139\) 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
\(141\) −3.41568 + 2.32738i −0.287652 + 0.196000i
\(142\) 7.91101 1.68154i 0.663877 0.141111i
\(143\) 5.02874 23.6584i 0.420525 1.97841i
\(144\) −2.99453 0.181081i −0.249544 0.0150901i
\(145\) 1.00914 + 0.908631i 0.0838042 + 0.0754577i
\(146\) −0.385940 + 3.67198i −0.0319407 + 0.303895i
\(147\) −3.89662 + 8.08566i −0.321388 + 0.666894i
\(148\) −3.57338 + 0.375578i −0.293730 + 0.0308723i
\(149\) −19.0580 11.0032i −1.56130 0.901414i −0.997126 0.0757551i \(-0.975863\pi\)
−0.564169 0.825659i \(-0.690803\pi\)
\(150\) −1.11958 1.32157i −0.0914129 0.107906i
\(151\) −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
\(153\) 10.4816 + 13.1586i 0.847390 + 1.06381i
\(154\) 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
\(159\) −11.4917 10.9933i −0.911348 0.871824i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 3.36825 5.83399i 0.265456 0.459782i
\(162\) 6.12890 6.59064i 0.481532 0.517810i
\(163\) −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
\(165\) 3.36120 5.43583i 0.261669 0.423179i
\(166\) −1.86911 + 4.19809i −0.145071 + 0.325835i
\(167\) −4.72701 1.00476i −0.365787 0.0777504i 0.0213516 0.999772i \(-0.493203\pi\)
−0.387138 + 0.922022i \(0.626536\pi\)
\(168\) 2.16114 0.885016i 0.166736 0.0682805i
\(169\) −27.3761 + 12.1886i −2.10585 + 0.937586i
\(170\) −1.73286 + 5.33321i −0.132905 + 0.409038i
\(171\) 0.245470 + 5.53464i 0.0187716 + 0.423245i
\(172\) −3.95972 8.89367i −0.301926 0.678136i
\(173\) 3.24242 + 15.2544i 0.246517 + 1.15977i 0.910980 + 0.412450i \(0.135327\pi\)
−0.664463 + 0.747321i \(0.731340\pi\)
\(174\) −2.35093 0.0710163i −0.178223 0.00538373i
\(175\) 1.23174 + 0.548405i 0.0931107 + 0.0414556i
\(176\) 2.46902 2.74212i 0.186109 0.206695i
\(177\) 1.26956 + 17.0047i 0.0954263 + 1.27815i
\(178\) −6.77043 + 9.31870i −0.507465 + 0.698466i
\(179\) −1.50880 14.3553i −0.112773 1.07296i −0.893800 0.448467i \(-0.851970\pi\)
0.781026 0.624498i \(-0.214696\pi\)
\(180\) 2.95920 + 0.493103i 0.220566 + 0.0367537i
\(181\) −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
\(183\) 2.33122 + 1.80373i 0.172328 + 0.133336i
\(184\) 4.75174 1.54393i 0.350303 0.113820i
\(185\) 3.59307 0.264167
\(186\) −2.17472 9.39524i −0.159459 0.688893i
\(187\) −20.6917 −1.51313
\(188\) 2.26952 0.737413i 0.165522 0.0537814i
\(189\) −2.07065 + 6.69302i −0.150618 + 0.486845i
\(190\) −1.49401 + 1.08546i −0.108387 + 0.0787475i
\(191\) 6.84297 3.95079i 0.495140 0.285869i −0.231564 0.972820i \(-0.574384\pi\)
0.726704 + 0.686951i \(0.241051\pi\)
\(192\) 1.63037 + 0.584727i 0.117662 + 0.0421990i
\(193\) 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
\(195\) −11.3219 + 0.845289i −0.810780 + 0.0605324i
\(196\) 3.46748 3.85103i 0.247677 0.275074i
\(197\) 9.03839 + 4.02415i 0.643958 + 0.286709i 0.702616 0.711569i \(-0.252015\pi\)
−0.0586575 + 0.998278i \(0.518682\pi\)
\(198\) 1.64375 + 10.9470i 0.116816 + 0.777966i
\(199\) −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
\(201\) 0.171586 + 0.0232916i 0.0121028 + 0.00164286i
\(202\) −4.14980 + 12.7718i −0.291979 + 0.898619i
\(203\) 1.67261 0.744695i 0.117394 0.0522673i
\(204\) −3.68082 8.98829i −0.257709 0.629306i
\(205\) 2.38440 + 0.506821i 0.166534 + 0.0353979i
\(206\) −3.17424 + 7.12945i −0.221160 + 0.496732i
\(207\) −5.48381 + 13.9496i −0.381151 + 0.969567i
\(208\) −6.51900 0.685175i −0.452011 0.0475083i
\(209\) −5.51272 4.00523i −0.381323 0.277047i
\(210\) −2.24181 + 0.654267i −0.154700 + 0.0451487i
\(211\) −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
\(213\) 9.68349 10.1225i 0.663502 0.693581i
\(214\) −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
\(219\) 3.02886 + 5.63233i 0.204671 + 0.380597i
\(220\) −2.74212 + 2.46902i −0.184874 + 0.166461i
\(221\) 21.6057 + 29.7377i 1.45335 + 2.00037i
\(222\) −4.74849 + 4.02271i −0.318698 + 0.269986i
\(223\) −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
\(225\) −2.89144 0.799722i −0.192763 0.0533148i
\(226\) −1.78281 + 16.9623i −0.118591 + 1.12832i
\(227\) −8.30198 7.47513i −0.551022 0.496142i 0.345936 0.938258i \(-0.387561\pi\)
−0.896958 + 0.442116i \(0.854228\pi\)
\(228\) 0.759183 3.10716i 0.0502781 0.205777i
\(229\) 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
\(231\) −4.85222 7.12116i −0.319253 0.468538i
\(232\) 1.29147 + 0.419623i 0.0847889 + 0.0275496i
\(233\) −10.9052 3.54332i −0.714424 0.232130i −0.0708198 0.997489i \(-0.522562\pi\)
−0.643604 + 0.765359i \(0.722562\pi\)
\(234\) 14.0164 13.7929i 0.916279 0.901667i
\(235\) −2.33417 + 0.496143i −0.152265 + 0.0323648i
\(236\) 2.04689 9.62988i 0.133241 0.626852i
\(237\) −1.37247 0.335341i −0.0891518 0.0217827i
\(238\) 5.61881 + 5.05920i 0.364213 + 0.327939i
\(239\) 1.50610 14.3295i 0.0974212 0.926901i −0.831225 0.555936i \(-0.812360\pi\)
0.928647 0.370966i \(-0.120973\pi\)
\(240\) −1.56031 0.751943i −0.100718 0.0485377i
\(241\) −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
\(243\) 2.34481 15.4111i 0.150420 0.988622i
\(244\) −1.00027 1.37676i −0.0640359 0.0881379i
\(245\) −3.85103 + 3.46748i −0.246033 + 0.221529i
\(246\) −3.71859 + 1.99972i −0.237088 + 0.127497i
\(247\) 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 0.699205 0.714921i \(-0.253537\pi\)
−0.784092 + 0.620645i \(0.786871\pi\)
\(252\) 2.23021 3.37454i 0.140490 0.212576i
\(253\) −9.21786 15.9658i −0.579522 1.00376i
\(254\) 9.04264 15.6623i 0.567386 0.982741i
\(255\) 2.72113 + 9.32380i 0.170404 + 0.583879i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 3.03046 + 0.318514i 0.189035 + 0.0198684i 0.198573 0.980086i \(-0.436369\pi\)
−0.00953794 + 0.999955i \(0.503036\pi\)
\(258\) −14.3418 8.86812i −0.892880 0.552105i
\(259\) 1.97046 4.42572i 0.122438 0.275001i
\(260\) 6.41167 + 1.36284i 0.397635 + 0.0845199i
\(261\) −3.43428 + 2.19121i −0.212577 + 0.135632i
\(262\) 11.7470 5.23009i 0.725731 0.323116i
\(263\) 0.850313 2.61699i 0.0524325 0.161371i −0.921411 0.388588i \(-0.872963\pi\)
0.973844 + 0.227218i \(0.0729629\pi\)
\(264\) 0.859661 6.33300i 0.0529085 0.389769i
\(265\) −3.73453 8.38789i −0.229410 0.515264i
\(266\) 0.517681 + 2.43550i 0.0317411 + 0.149330i
\(267\) −0.602391 + 19.9416i −0.0368658 + 1.22041i
\(268\) −0.0913306 0.0406630i −0.00557891 0.00248389i
\(269\) −15.4577 + 17.1675i −0.942473 + 1.04672i 0.0563592 + 0.998411i \(0.482051\pi\)
−0.998832 + 0.0483118i \(0.984616\pi\)
\(270\) 4.71660 2.18030i 0.287043 0.132689i
\(271\) 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
\(273\) −5.16783 + 14.4092i −0.312771 + 0.872086i
\(274\) 3.17522 1.83321i 0.191822 0.110748i
\(275\) 2.98519 2.16886i 0.180013 0.130787i
\(276\) 5.29565 6.84429i 0.318760 0.411978i
\(277\) −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
\(279\) −12.2760 11.3270i −0.734944 0.678127i
\(280\) 1.34831 0.0805767
\(281\) −14.8517 + 4.82562i −0.885980 + 0.287872i −0.716438 0.697650i \(-0.754229\pi\)
−0.169542 + 0.985523i \(0.554229\pi\)
\(282\) 2.52930 3.26897i 0.150618 0.194664i
\(283\) 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
\(285\) −1.07981 + 3.01079i −0.0639625 + 0.178344i
\(286\) 2.52822 + 24.0544i 0.149497 + 1.42237i
\(287\) 1.93189 2.65902i 0.114036 0.156957i
\(288\) 2.90392 0.753142i 0.171115 0.0443793i
\(289\) 9.66622 10.7354i 0.568601 0.631496i
\(290\) −1.24053 0.552319i −0.0728463 0.0324333i
\(291\) −0.893930 + 29.5927i −0.0524031 + 1.73476i
\(292\) −0.767652 3.61152i −0.0449235 0.211348i
\(293\) −7.63171 17.1411i −0.445850 1.00139i −0.987037 0.160493i \(-0.948692\pi\)
0.541188 0.840902i \(-0.317975\pi\)
\(294\) 1.20730 8.89404i 0.0704114 0.518711i
\(295\) −3.04228 + 9.36316i −0.177128 + 0.545144i
\(296\) 3.28243 1.46143i 0.190787 0.0849440i
\(297\) 13.0294 + 14.0659i 0.756040 + 0.816185i
\(298\) 21.5254 + 4.57537i 1.24694 + 0.265044i
\(299\) −13.3207 + 29.9187i −0.770355 + 1.73024i
\(300\) 1.47317 + 0.910922i 0.0850534 + 0.0525921i
\(301\) 13.0543 + 1.37206i 0.752437 + 0.0790844i
\(302\) 16.1412 + 11.7273i 0.928824 + 0.674830i
\(303\) 6.51646 + 22.3283i 0.374361 + 1.28273i
\(304\) −0.923347 + 1.59928i −0.0529576 + 0.0917252i
\(305\) 0.850883 + 1.47377i 0.0487214 + 0.0843880i
\(306\) −14.0349 9.27557i −0.802320 0.530249i
\(307\) 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 \(0.0799151\pi\)
−0.968649 + 0.248431i \(0.920085\pi\)
\(312\) −9.99929 + 5.37725i −0.566098 + 0.304427i
\(313\) 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
\(315\) −2.57073 + 3.12293i −0.144844 + 0.175957i
\(316\) 0.706424 + 0.407854i 0.0397394 + 0.0229436i
\(317\) −22.0209 + 2.31449i −1.23682 + 0.129995i −0.700272 0.713876i \(-0.746938\pi\)
−0.536546 + 0.843871i \(0.680271\pi\)
\(318\) 14.3263 + 6.90411i 0.803380 + 0.387163i
\(319\) 0.523751 4.98316i 0.0293244 0.279003i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) −10.9183 2.66769i −0.609398 0.148896i
\(322\) −1.40060 + 6.58930i −0.0780523 + 0.367207i
\(323\) 10.1293 2.15306i 0.563612 0.119799i
\(324\) −3.79231 + 8.16201i −0.210684 + 0.453445i
\(325\) −6.23409 2.02558i −0.345805 0.112359i
\(326\) 8.75544 + 2.84481i 0.484919 + 0.157560i
\(327\) −19.0747 27.9942i −1.05483 1.54808i
\(328\) 2.38440 0.506821i 0.131657 0.0279845i
\(329\) −0.668953 + 3.14718i −0.0368806 + 0.173509i
\(330\) −1.51693 + 6.20845i −0.0835043 + 0.341764i
\(331\) 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
\(333\) −2.87345 + 10.3891i −0.157464 + 0.569322i
\(334\) 4.80614 0.505145i 0.262980 0.0276403i
\(335\) 0.0865799 + 0.0499869i 0.00473036 + 0.00273108i
\(336\) −1.78188 + 1.50953i −0.0972097 + 0.0823516i
\(337\) −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
\(339\) 13.9915 + 26.0179i 0.759914 + 1.41310i
\(340\) 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
\(345\) −5.98206 + 6.25326i −0.322063 + 0.336664i
\(346\) −7.79760 13.5058i −0.419201 0.726078i
\(347\) 12.6018 21.8270i 0.676500 1.17173i −0.299528 0.954088i \(-0.596829\pi\)
0.976028 0.217645i \(-0.0698376\pi\)
\(348\) 2.25781 0.658936i 0.121031 0.0353227i
\(349\) 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
\(351\) 6.61029 33.4127i 0.352831 1.78344i
\(352\) −1.50081 + 3.37088i −0.0799937 + 0.179669i
\(353\) −27.9373 5.93825i −1.48695 0.316061i −0.608369 0.793654i \(-0.708176\pi\)
−0.878581 + 0.477593i \(0.841509\pi\)
\(354\) −6.46218 15.7801i −0.343461 0.838705i
\(355\) 7.38852 3.28958i 0.392142 0.174593i
\(356\) 3.55943 10.9548i 0.188649 0.580603i
\(357\) 12.9768 + 1.76151i 0.686804 + 0.0932288i
\(358\) 5.87098 + 13.1864i 0.310291 + 0.696925i
\(359\) −6.16257 28.9926i −0.325248 1.53017i −0.772064 0.635545i \(-0.780775\pi\)
0.446816 0.894626i \(-0.352558\pi\)
\(360\) −2.96674 + 0.445473i −0.156361 + 0.0234785i
\(361\) −14.2419 6.34091i −0.749575 0.333732i
\(362\) 6.45722 7.17147i 0.339384 0.376924i
\(363\) −4.51728 + 0.337257i −0.237096 + 0.0177014i
\(364\) 5.19486 7.15011i 0.272285 0.374768i
\(365\) 0.385940 + 3.67198i 0.0202010 + 0.192200i
\(366\) −2.77450 0.995069i −0.145026 0.0520131i
\(367\) 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
\(369\) −3.37230 + 6.48905i −0.175555 + 0.337807i
\(370\) −3.41721 + 1.11032i −0.177652 + 0.0577227i
\(371\) −12.3797 −0.642724
\(372\) 4.97158 + 8.26338i 0.257764 + 0.428436i
\(373\) −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
\(375\) −1.36988 1.05992i −0.0707403 0.0547340i
\(376\) −1.93057 + 1.40264i −0.0995616 + 0.0723358i
\(377\) −7.70857 + 4.45055i −0.397012 + 0.229215i
\(378\) −0.0989495 7.00531i −0.00508941 0.360314i
\(379\) 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
\(381\) −2.33219 31.2377i −0.119482 1.60035i
\(382\) −5.28719 + 5.87202i −0.270516 + 0.300438i
\(383\) −9.47373 4.21798i −0.484085 0.215528i 0.150158 0.988662i \(-0.452022\pi\)
−0.634243 + 0.773133i \(0.718688\pi\)
\(384\) −1.73126 0.0522975i −0.0883480 0.00266880i
\(385\) −1.03438 4.86639i −0.0527170 0.248014i
\(386\) −3.68868 8.28492i −0.187749 0.421691i
\(387\) −29.1773 + 1.29406i −1.48317 + 0.0657808i
\(388\) 5.28208 16.2566i 0.268157 0.825302i
\(389\) −5.12581 + 2.28216i −0.259889 + 0.115710i −0.532545 0.846401i \(-0.678764\pi\)
0.272657 + 0.962111i \(0.412098\pi\)
\(390\) 10.5066 4.30259i 0.532022 0.217870i
\(391\) 27.4052 + 5.82515i 1.38594 + 0.294591i
\(392\) −2.10774 + 4.73406i −0.106457 + 0.239106i
\(393\) 11.7132 18.9430i 0.590855 0.955547i
\(394\) −9.83955 1.03418i −0.495709 0.0521011i
\(395\) −0.659922 0.479461i −0.0332043 0.0241243i
\(396\) −4.94609 9.90323i −0.248551 0.497656i
\(397\) 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
\(399\) 3.11633 + 2.98118i 0.156012 + 0.149246i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 4.54601 + 13.9912i 0.227017 + 0.698686i 0.998081 + 0.0619279i \(0.0197249\pi\)
−0.771064 + 0.636758i \(0.780275\pi\)
\(402\) −0.170386 + 0.0308714i −0.00849806 + 0.00153973i
\(403\) −25.6998 25.9132i −1.28020 1.29083i
\(404\) 13.4290i 0.668120i
\(405\) 4.62470 7.72089i 0.229803 0.383654i
\(406\) −1.36063 + 1.22511i −0.0675267 + 0.0608013i
\(407\) −7.79287 10.7260i −0.386278 0.531667i
\(408\) 6.27821 + 7.41094i 0.310818 + 0.366896i
\(409\) 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
\(411\) 2.75695 5.72078i 0.135990 0.282185i
\(412\) 0.815757 7.76141i 0.0401894 0.382377i
\(413\) 9.86457 + 8.88210i 0.485404 + 0.437060i
\(414\) 0.904732 14.9615i 0.0444652 0.735317i
\(415\) −0.955433 + 4.49496i −0.0469004 + 0.220649i
\(416\) 6.41167 1.36284i 0.314358 0.0668189i
\(417\) −10.4568 + 7.12507i −0.512072 + 0.348916i
\(418\) 6.48060 + 2.10567i 0.316976 + 0.102992i
\(419\) 35.0985 + 11.4042i 1.71468 + 0.557132i 0.991101 0.133114i \(-0.0424976\pi\)
0.723575 + 0.690246i \(0.242498\pi\)
\(420\) 1.92991 1.31500i 0.0941700 0.0641656i
\(421\) −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
\(423\) 0.432118 7.14590i 0.0210103 0.347446i
\(424\) −6.82333 6.14375i −0.331370 0.298367i
\(425\) −0.586161 + 5.57695i −0.0284330 + 0.270522i
\(426\) −6.08153 + 12.6194i −0.294651 + 0.611413i
\(427\) 2.28193 0.239841i 0.110430 0.0116067i
\(428\) 5.61972 + 3.24455i 0.271639 + 0.156831i
\(429\) 27.0791 + 31.9647i 1.30739 + 1.54327i
\(430\) −5.72228 7.87605i −0.275953 0.379817i
\(431\) 18.9781 17.0880i 0.914144 0.823099i −0.0705290 0.997510i \(-0.522469\pi\)
0.984673 + 0.174411i \(0.0558021\pi\)
\(432\) 3.42202 3.91021i 0.164642 0.188130i
\(433\) 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
\(438\) −4.62110 4.42069i −0.220805 0.211229i
\(439\) −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
\(441\) −6.94628 13.9081i −0.330775 0.662288i
\(442\) −29.7377 21.6057i −1.41448 1.02768i
\(443\) 20.8207 + 2.18835i 0.989223 + 0.103972i 0.585296 0.810820i \(-0.300978\pi\)
0.403927 + 0.914791i \(0.367645\pi\)
\(444\) 3.27300 5.29319i 0.155330 0.251204i
\(445\) −4.68501 + 10.5227i −0.222091 + 0.498825i
\(446\) 12.3612 + 2.62744i 0.585318 + 0.124413i
\(447\) 35.2730 14.4448i 1.66836 0.683214i
\(448\) 1.23174 0.548405i 0.0581942 0.0259097i
\(449\) 4.74159 14.5931i 0.223770 0.688692i −0.774644 0.632397i \(-0.782071\pi\)
0.998414 0.0562953i \(-0.0179288\pi\)
\(450\) 2.99705 0.132924i 0.141282 0.00626611i
\(451\) −3.65850 8.21712i −0.172272 0.386929i
\(452\) −3.54609 16.6830i −0.166794 0.784704i
\(453\) 34.5415 + 1.04342i 1.62290 + 0.0490243i
\(454\) 10.2056 + 4.54382i 0.478972 + 0.213252i
\(455\) −5.91379 + 6.56793i −0.277243 + 0.307909i
\(456\) 0.238140 + 3.18969i 0.0111519 + 0.149371i
\(457\) −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
\(459\) −29.1354 + 0.411536i −1.35992 + 0.0192088i
\(460\) 4.32690 2.49814i 0.201743 0.116476i
\(461\) −2.19286 + 1.59321i −0.102132 + 0.0742030i −0.637679 0.770302i \(-0.720105\pi\)
0.535547 + 0.844505i \(0.320105\pi\)
\(462\) 6.81530 + 5.27321i 0.317076 + 0.245332i
\(463\) −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
\(465\) −4.08058 8.73778i −0.189232 0.405205i
\(466\) 11.4664 0.531171
\(467\) −38.1428 + 12.3933i −1.76504 + 0.573495i −0.997702 0.0677518i \(-0.978417\pi\)
−0.767335 + 0.641247i \(0.778417\pi\)
\(468\) −9.06814 + 17.4491i −0.419175 + 0.806584i
\(469\) 0.109052 0.0792307i 0.00503554 0.00365853i
\(470\) 2.06661 1.19316i 0.0953257 0.0550363i
\(471\) −14.2249 5.10172i −0.655448 0.235075i
\(472\) 1.02908 + 9.79108i 0.0473674 + 0.450671i
\(473\) 21.1146 29.0618i 0.970851 1.33626i
\(474\) 1.40893 0.105190i 0.0647141 0.00483152i
\(475\) −1.23568 + 1.37236i −0.0566969 + 0.0629682i
\(476\) −6.90718 3.07528i −0.316590 0.140955i
\(477\) 27.2397 4.09020i 1.24722 0.187277i
\(478\) 2.99569 + 14.0936i 0.137020 + 0.644627i
\(479\) −6.66205 14.9632i −0.304397 0.683687i 0.694978 0.719031i \(-0.255414\pi\)
−0.999375 + 0.0353439i \(0.988747\pi\)
\(480\) 1.71631 + 0.232977i 0.0783385 + 0.0106339i
\(481\) −7.27804 + 22.3995i −0.331850 + 1.02133i
\(482\) 11.5711 5.15179i 0.527049 0.234657i
\(483\) 4.42178 + 10.7977i 0.201198 + 0.491310i
\(484\) 2.55816 + 0.543754i 0.116280 + 0.0247161i
\(485\) −6.95241 + 15.6154i −0.315693 + 0.709058i
\(486\) 2.53224 + 15.3814i 0.114865 + 0.697715i
\(487\) 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
\(489\) 15.3067 4.46723i 0.692194 0.202015i
\(490\) 2.59104 4.48780i 0.117051 0.202738i
\(491\) 17.0000 + 29.4448i 0.767197 + 1.32882i 0.939077 + 0.343706i \(0.111682\pi\)
−0.171880 + 0.985118i \(0.554984\pi\)
\(492\) 2.91864 3.05095i 0.131582 0.137548i
\(493\) 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
\(498\) −3.76977 7.01009i −0.168928 0.314130i
\(499\) 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
\(501\) 6.38664 5.41047i 0.285334 0.241722i
\(502\) 1.74059 + 1.00493i 0.0776861 + 0.0448521i
\(503\) 14.4287 1.51652i 0.643344 0.0676182i 0.222762 0.974873i \(-0.428493\pi\)
0.420582 + 0.907255i \(0.361826\pi\)
\(504\) −1.07827 + 3.89855i −0.0480300 + 0.173655i
\(505\) −1.40372 + 13.3555i −0.0624646 + 0.594311i
\(506\) 13.7004 + 12.3359i 0.609057 + 0.548398i
\(507\) 12.3195 50.4209i 0.547128 2.23927i
\(508\) −3.76014 + 17.6901i −0.166829 + 0.784870i
\(509\) −22.9726 + 4.88298i −1.01824 + 0.216434i −0.686650 0.726989i \(-0.740919\pi\)
−0.331593 + 0.943423i \(0.607586\pi\)
\(510\) −5.46916 8.02659i −0.242178 0.355423i
\(511\) 4.73457 + 1.53835i 0.209445 + 0.0680528i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −7.84197 5.53001i −0.346231 0.244156i
\(514\) −2.98056 + 0.633538i −0.131467 + 0.0279442i
\(515\) −1.62258 + 7.63362i −0.0714992 + 0.336377i
\(516\) 16.3802 + 4.00224i 0.721100 + 0.176189i
\(517\) 6.54358 + 5.89187i 0.287786 + 0.259124i
\(518\) −0.506394 + 4.81801i −0.0222497 + 0.211691i
\(519\) −24.3334 11.7267i −1.06812 0.514745i
\(520\) −6.51900 + 0.685175i −0.285877 + 0.0300469i
\(521\) −0.279080 0.161127i −0.0122267 0.00705909i 0.493874 0.869533i \(-0.335580\pi\)
−0.506101 + 0.862474i \(0.668914\pi\)
\(522\) 2.58908 3.14522i 0.113321 0.137662i
\(523\) −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
\(525\) −2.05679 + 1.10607i −0.0897658 + 0.0482728i
\(526\) 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
\(531\) −24.6401 16.2845i −1.06929 0.706687i
\(532\) −1.24495 2.15632i −0.0539756 0.0934885i
\(533\) −7.98937 + 13.8380i −0.346058 + 0.599390i
\(534\) −5.58939 19.1517i −0.241876 0.828777i
\(535\) −5.24979 3.81419i −0.226968 0.164902i
\(536\) 0.0994262 + 0.0104501i 0.00429456 + 0.000451376i
\(537\) 21.2642 + 13.1486i 0.917619 + 0.567403i
\(538\) 9.39610 21.1040i 0.405095 0.909857i
\(539\) 18.7034 + 3.97554i 0.805614 + 0.171239i
\(540\) −3.81200 + 3.53110i −0.164042 + 0.151954i
\(541\) −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
\(543\) 2.24827 16.5627i 0.0964823 0.710772i
\(544\) −2.28084 5.12286i −0.0977904 0.219641i
\(545\) −4.06629 19.1304i −0.174181 0.819456i
\(546\) 0.462207 15.3009i 0.0197806 0.654819i
\(547\) 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
\(549\) −4.94180 + 1.28167i −0.210911 + 0.0547004i
\(550\) −2.16886 + 2.98519i −0.0924807 + 0.127289i
\(551\) 0.262124 + 2.49394i 0.0111668 + 0.106245i
\(552\) −2.92146 + 8.14576i −0.124345 + 0.346706i
\(553\) −0.952476 + 0.549912i −0.0405034 + 0.0233846i
\(554\) 1.23631 0.898235i 0.0525260 0.0381624i
\(555\) −3.80836 + 4.92207i −0.161656 + 0.208930i
\(556\) 6.94795 2.25753i 0.294659 0.0957405i
\(557\) −7.27305 −0.308169 −0.154085 0.988058i \(-0.549243\pi\)
−0.154085 + 0.988058i \(0.549243\pi\)
\(558\) 15.1754 + 6.97909i 0.642425 + 0.295448i
\(559\) −63.8142 −2.69905
\(560\) −1.28232 + 0.416649i −0.0541877 + 0.0176067i
\(561\) 21.9315 28.3451i 0.925950 1.19673i
\(562\) 12.6336 9.17888i 0.532918 0.387188i
\(563\) −7.52484 + 4.34447i −0.317134 + 0.183098i −0.650114 0.759836i \(-0.725279\pi\)
0.332980 + 0.942934i \(0.391946\pi\)
\(564\) −1.39534 + 3.89057i −0.0587546 + 0.163823i
\(565\) 1.78281 + 16.9623i 0.0750034 + 0.713610i
\(566\) −14.6897 + 20.2186i −0.617452 + 0.849850i
\(567\) −6.97391 9.93060i −0.292877 0.417046i
\(568\) 5.41176 6.01036i 0.227072 0.252189i
\(569\) −31.4886 14.0196i −1.32007 0.587734i −0.378830 0.925466i \(-0.623674\pi\)
−0.941242 + 0.337732i \(0.890340\pi\)
\(570\) 0.0965775 3.19711i 0.00404519 0.133912i
\(571\) 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
\(573\) −1.84089 + 13.5616i −0.0769041 + 0.566542i
\(574\) −1.01566 + 3.12587i −0.0423926 + 0.130471i
\(575\) −4.56432 + 2.03217i −0.190345 + 0.0847472i
\(576\) −2.52906 + 1.61364i −0.105378 + 0.0672351i
\(577\) 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
\(579\) −13.3601 8.26113i −0.555228 0.343321i
\(580\) 1.35049 + 0.141942i 0.0560760 + 0.00589382i
\(581\) 5.01265 + 3.64191i 0.207960 + 0.151092i
\(582\) −8.29448 28.4206i −0.343817 1.17807i
\(583\) −16.9397 + 29.3405i −0.701572 + 1.21516i
\(584\) 1.84610 + 3.19754i 0.0763922 + 0.132315i
\(585\) 10.8424 16.4056i 0.448278 0.678289i
\(586\) 12.5551 + 13.9438i 0.518646 + 0.576015i
\(587\) −3.57253 10.9951i −0.147454 0.453817i 0.849864 0.527001i \(-0.176684\pi\)
−0.997318 + 0.0731846i \(0.976684\pi\)
\(588\) 1.60020 + 8.83181i 0.0659910 + 0.364218i
\(589\) −9.61419 + 3.64499i −0.396146 + 0.150189i
\(590\) 9.84501i 0.405313i
\(591\) −15.0926 + 8.11623i −0.620825 + 0.333857i
\(592\) −2.67017 + 2.40423i −0.109743 + 0.0988133i
\(593\) 23.8530 + 32.8309i 0.979527 + 1.34820i 0.937084 + 0.349104i \(0.113514\pi\)
0.0424432 + 0.999099i \(0.486486\pi\)
\(594\) −16.7383 9.35115i −0.686779 0.383682i
\(595\) 6.54789 + 3.78043i 0.268437 + 0.154982i
\(596\) −21.8858 + 2.30029i −0.896476 + 0.0942235i
\(597\) 0.00217476 + 0.00104806i 8.90071e−5 + 4.28941e-5i
\(598\) 3.42332 32.5707i 0.139990 1.33192i
\(599\) 14.6629 + 13.2025i 0.599109 + 0.539440i 0.911916 0.410377i \(-0.134603\pi\)
−0.312807 + 0.949817i \(0.601269\pi\)
\(600\) −1.68256 0.411104i −0.0686900 0.0167833i
\(601\) −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
\(603\) −0.213774 + 0.210365i −0.00870556 + 0.00856673i
\(604\) −18.9752 6.16540i −0.772088 0.250867i
\(605\) −2.48731 0.808175i −0.101123 0.0328570i
\(606\) −13.0973 19.2218i −0.532043 0.780832i
\(607\) 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
\(609\) −0.752691 + 3.08059i −0.0305006 + 0.124832i
\(610\) −1.26466 1.13870i −0.0512045 0.0461048i
\(611\) 1.63504 15.5564i 0.0661468 0.629345i
\(612\) 16.2143 + 4.48458i 0.655422 + 0.181278i
\(613\) 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
\(615\) −3.22156 + 2.72916i −0.129906 + 0.110050i
\(616\) −2.92429 4.02494i −0.117823 0.162170i
\(617\) 25.7361 23.1729i 1.03610 0.932905i 0.0383007 0.999266i \(-0.487806\pi\)
0.997796 + 0.0663609i \(0.0211389\pi\)
\(618\) −6.40206 11.9050i −0.257529 0.478888i
\(619\) 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
\(624\) 7.84822 8.20402i 0.314180 0.328424i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −4.37695 + 7.58110i −0.174938 + 0.303002i
\(627\) 11.3297 3.30655i 0.452466 0.132051i
\(628\) 7.05864 + 5.12841i 0.281671 + 0.204646i
\(629\) 20.0383 + 2.10611i 0.798981 + 0.0839763i
\(630\) 1.47987 3.76448i 0.0589595 0.149981i
\(631\) 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
\(633\) −9.00941 22.0003i −0.358092 0.874433i
\(634\) 20.2279 9.00605i 0.803353 0.357676i
\(635\) 5.58866 17.2001i 0.221779 0.682566i
\(636\) −15.7586 2.13912i −0.624870 0.0848218i
\(637\) −13.8160 31.0313i −0.547411 1.22951i
\(638\) 1.04176 + 4.90111i 0.0412438 + 0.194037i
\(639\) 3.60287 + 23.9942i 0.142528 + 0.949197i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 21.8840 24.3046i 0.864364 0.959974i −0.135160 0.990824i \(-0.543155\pi\)
0.999524 + 0.0308500i \(0.00982142\pi\)
\(642\) 11.2082 0.836801i 0.442354 0.0330259i
\(643\) −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
\(645\) −15.8722 5.69251i −0.624966 0.224142i
\(646\) −8.96825 + 5.17782i −0.352851 + 0.203719i
\(647\) 23.6320 17.1696i 0.929068 0.675008i −0.0166963 0.999861i \(-0.505315\pi\)
0.945764 + 0.324853i \(0.105315\pi\)
\(648\) 1.08451 8.93442i 0.0426035 0.350977i
\(649\) 34.5491 11.2257i 1.35617 0.440646i
\(650\) 6.55491 0.257105
\(651\) −13.0005 + 0.234364i −0.509529 + 0.00918544i
\(652\) −9.20601 −0.360535
\(653\) −33.8569 + 11.0008i −1.32492 + 0.430493i −0.884182 0.467142i \(-0.845284\pi\)
−0.440739 + 0.897635i \(0.645284\pi\)
\(654\) 26.7918 + 20.7297i 1.04764 + 0.810594i
\(655\) 10.4029 7.55814i 0.406474 0.295321i
\(656\) −2.11109 + 1.21884i −0.0824241 + 0.0475876i
\(657\) −10.9260 1.82064i −0.426262 0.0710298i
\(658\) −0.336319 3.19986i −0.0131111 0.124744i
\(659\) 3.17686 4.37258i 0.123753 0.170331i −0.742645 0.669685i \(-0.766429\pi\)
0.866398 + 0.499354i \(0.166429\pi\)
\(660\) −0.475830 6.37334i −0.0185217 0.248082i
\(661\) 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
\(663\) −63.6373 1.92234i −2.47147 0.0746575i
\(664\) 0.955433 + 4.49496i 0.0370780 + 0.174438i
\(665\) 1.01274 + 2.27464i 0.0392723 + 0.0882069i
\(666\) −0.477606 10.7686i −0.0185068 0.417275i
\(667\) −2.09655 + 6.45252i −0.0811787 + 0.249842i
\(668\) −4.41481 + 1.96560i −0.170814 + 0.0760513i
\(669\) 20.2558 8.29502i 0.783134 0.320704i
\(670\) −0.0977892 0.0207857i −0.00377793 0.000803023i
\(671\) 2.55404 5.73646i 0.0985975 0.221454i
\(672\) 1.22820 1.98628i 0.0473789 0.0766224i
\(673\) −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
\(675\) 4.16022 3.11329i 0.160127 0.119831i
\(676\) −14.9834 + 25.9521i −0.576286 + 0.998156i
\(677\) −0.696025 1.20555i −0.0267504 0.0463331i 0.852340 0.522988i \(-0.175183\pi\)
−0.879091 + 0.476655i \(0.841849\pi\)
\(678\) −21.3467 20.4209i −0.819815 0.784261i
\(679\) 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 \(0.233833\pi\)
−0.742093 + 0.670297i \(0.766167\pi\)
\(684\) 3.45177 + 4.33333i 0.131982 + 0.165689i
\(685\) 2.72469 2.45332i 0.104105 0.0937365i
\(686\) −9.65447 13.2882i −0.368609 0.507347i
\(687\) 13.3718 + 15.7844i 0.510167 + 0.602213i
\(688\) −8.43104 4.86767i −0.321431 0.185578i
\(689\) 59.8555 6.29106i 2.28031 0.239670i
\(690\) 3.75692 7.79576i 0.143023 0.296779i
\(691\) −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
\(693\) 14.8981 + 0.900899i 0.565932 + 0.0342223i
\(694\) −5.24013 + 24.6529i −0.198912 + 0.935809i
\(695\) −7.14587 + 1.51890i −0.271058 + 0.0576152i
\(696\) −1.94368 + 1.32439i −0.0736751 + 0.0502008i
\(697\) 13.0006 + 4.22416i 0.492434 + 0.160001i
\(698\) −33.8353 10.9937i −1.28068 0.416120i
\(699\) 16.4126 11.1832i 0.620780 0.422987i
\(700\) 1.31884 0.280329i 0.0498476 0.0105954i
\(701\) −7.03182 + 33.0821i −0.265588 + 1.24949i 0.619844 + 0.784725i \(0.287196\pi\)
−0.885432 + 0.464769i \(0.846138\pi\)
\(702\) 4.03833 + 33.8201i 0.152417 + 1.27646i
\(703\) 4.93098 + 4.43988i 0.185976 + 0.167453i
\(704\) 0.385699 3.66968i 0.0145366 0.138306i
\(705\) 1.79438 3.72341i 0.0675801 0.140232i
\(706\) 28.4049 2.98548i 1.06903 0.112360i
\(707\) 15.6807 + 9.05323i 0.589732 + 0.340482i
\(708\) 11.0222 + 13.0109i 0.414241 + 0.488979i
\(709\) 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
\(711\) 1.91409 1.52469i 0.0717839 0.0571804i
\(712\) 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
\(717\) 18.0334 + 17.2513i 0.673470 + 0.644263i
\(718\) 14.8202 + 25.6693i 0.553083 + 0.957969i
\(719\) −12.9139 + 22.3676i −0.481608 + 0.834170i −0.999777 0.0211085i \(-0.993280\pi\)
0.518169 + 0.855278i \(0.326614\pi\)
\(720\) 2.68388 1.34044i 0.100022 0.0499554i
\(721\) 8.51279 + 6.18491i 0.317033 + 0.230338i
\(722\) 15.5043 + 1.62957i 0.577011 + 0.0606463i
\(723\) 11.5379 18.6594i 0.429098 0.693949i
\(724\) −3.92507 + 8.81586i −0.145874 + 0.327639i
\(725\) −1.32825 0.282329i −0.0493301 0.0104854i
\(726\) 4.19197 1.71667i 0.155579 0.0637115i
\(727\) −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
\(729\) 18.6260 + 19.5466i 0.689853 + 0.723949i
\(730\) −1.50175 3.37300i −0.0555824 0.124840i
\(731\) 11.3504 + 53.3995i 0.419811 + 1.97505i
\(732\) 2.94620 + 0.0889982i 0.108895 + 0.00328947i
\(733\) 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
\(735\) −0.668254 8.95070i −0.0246489 0.330151i
\(736\) 2.93674 4.04207i 0.108250 0.148993i
\(737\) −0.0385598 0.366872i −0.00142037 0.0135139i
\(738\) 1.20202 7.21356i 0.0442471 0.265535i
\(739\) −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
\(741\) −16.5823 12.8302i −0.609165 0.471330i
\(742\) 11.7738 3.82555i 0.432231 0.140440i
\(743\) −44.4963 −1.63241 −0.816206 0.577761i \(-0.803927\pi\)
−0.816206 + 0.577761i \(0.803927\pi\)
\(744\) −7.28177 6.32264i −0.266963 0.231799i
\(745\) 22.0063 0.806250
\(746\) 6.91857 2.24798i 0.253307 0.0823044i
\(747\) −12.2328 6.35730i −0.447576 0.232601i
\(748\) −16.7399 + 12.1623i −0.612073 + 0.444697i
\(749\) −7.57710 + 4.37464i −0.276861 + 0.159846i
\(750\) 1.63037 + 0.584727i 0.0595326 + 0.0213512i
\(751\) −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
\(753\) 3.47151 0.259181i 0.126509 0.00944508i
\(754\) 5.95599 6.61480i 0.216905 0.240897i
\(755\) 18.2268 + 8.11507i 0.663339 + 0.295338i
\(756\) 2.25886 + 6.63186i 0.0821541 + 0.241199i
\(757\) −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
\(759\) 31.6414 + 4.29510i 1.14851 + 0.155902i
\(760\) −0.570660 + 1.75631i −0.0207000 + 0.0637081i
\(761\) −41.2290 + 18.3564i −1.49455 + 0.665417i −0.981241 0.192786i \(-0.938248\pi\)
−0.513311 + 0.858203i \(0.671581\pi\)
\(762\) 11.8710 + 28.9881i 0.430042 + 1.05013i
\(763\) −25.7936 5.48261i −0.933792 0.198484i
\(764\) 3.21386 7.21845i 0.116273 0.261154i
\(765\) −15.6567 6.15486i −0.566068 0.222529i
\(766\) 10.3135 + 1.08399i 0.372641 + 0.0391662i
\(767\) −52.2084 37.9317i −1.88514 1.36963i
\(768\) 1.66269 0.485251i 0.0599971 0.0175100i
\(769\) −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
\(771\) −3.64837 + 3.81376i −0.131393 + 0.137349i
\(772\) 6.06833 + 6.73956i 0.218404 + 0.242562i
\(773\) −0.132270 0.407084i −0.00475741 0.0146418i 0.948650 0.316329i