Properties

Label 300.2.n.a.11.11
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.11
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.21555 - 0.722800i) q^{2} +(-1.65104 + 0.523516i) q^{3} +(0.955121 + 1.75720i) q^{4} +(-0.573135 - 2.16137i) q^{5} +(2.38532 + 0.557011i) q^{6} +1.39878i q^{7} +(0.109105 - 2.82632i) q^{8} +(2.45186 - 1.72869i) q^{9} +O(q^{10})\) \(q+(-1.21555 - 0.722800i) q^{2} +(-1.65104 + 0.523516i) q^{3} +(0.955121 + 1.75720i) q^{4} +(-0.573135 - 2.16137i) q^{5} +(2.38532 + 0.557011i) q^{6} +1.39878i q^{7} +(0.109105 - 2.82632i) q^{8} +(2.45186 - 1.72869i) q^{9} +(-0.865563 + 3.04151i) q^{10} +(-0.762524 + 0.554006i) q^{11} +(-2.49686 - 2.40118i) q^{12} +(-0.565071 - 0.410548i) q^{13} +(1.01104 - 1.70029i) q^{14} +(2.07778 + 3.26846i) q^{15} +(-2.17549 + 3.35667i) q^{16} +(-7.22981 + 2.34911i) q^{17} +(-4.22986 + 0.329106i) q^{18} +(-0.528622 + 0.171760i) q^{19} +(3.25054 - 3.07148i) q^{20} +(-0.732284 - 2.30944i) q^{21} +(1.32732 - 0.122270i) q^{22} +(-3.42995 + 2.49200i) q^{23} +(1.29949 + 4.72349i) q^{24} +(-4.34303 + 2.47751i) q^{25} +(0.390127 + 0.907474i) q^{26} +(-3.14312 + 4.13773i) q^{27} +(-2.45793 + 1.33600i) q^{28} +(3.38995 + 1.10146i) q^{29} +(-0.163202 - 5.47479i) q^{30} +(-9.35292 + 3.03895i) q^{31} +(5.07062 - 2.50776i) q^{32} +(0.968926 - 1.31388i) q^{33} +(10.4861 + 2.37025i) q^{34} +(3.02328 - 0.801689i) q^{35} +(5.37948 + 2.65730i) q^{36} +(-0.815640 - 0.592597i) q^{37} +(0.766715 + 0.173306i) q^{38} +(1.14788 + 0.382007i) q^{39} +(-6.17126 + 1.38405i) q^{40} +(-4.88230 + 6.71991i) q^{41} +(-0.779135 + 3.33653i) q^{42} -10.8752i q^{43} +(-1.70180 - 0.810762i) q^{44} +(-5.14159 - 4.30860i) q^{45} +(5.97049 - 0.549987i) q^{46} +(-1.76153 + 5.42145i) q^{47} +(1.83454 - 6.68090i) q^{48} +5.04342 q^{49} +(7.06992 + 0.127605i) q^{50} +(10.7069 - 7.66339i) q^{51} +(0.181703 - 1.38506i) q^{52} +(4.78908 + 1.55607i) q^{53} +(6.81137 - 2.75777i) q^{54} +(1.63444 + 1.33058i) q^{55} +(3.95340 + 0.152614i) q^{56} +(0.782857 - 0.560325i) q^{57} +(-3.32452 - 3.78914i) q^{58} +(-5.62178 - 4.08446i) q^{59} +(-3.75880 + 6.77285i) q^{60} +(0.0279495 - 0.0203065i) q^{61} +(13.5655 + 3.06630i) q^{62} +(2.41806 + 3.42961i) q^{63} +(-7.97619 - 0.616733i) q^{64} +(-0.563484 + 1.45663i) q^{65} +(-2.12745 + 0.896746i) q^{66} +(-4.99301 + 1.62233i) q^{67} +(-11.0332 - 10.4605i) q^{68} +(4.35837 - 5.91003i) q^{69} +(-4.25440 - 1.21073i) q^{70} +(2.97804 - 9.16545i) q^{71} +(-4.61833 - 7.11836i) q^{72} +(7.64233 - 5.55248i) q^{73} +(0.563122 + 1.30988i) q^{74} +(5.87350 - 6.36412i) q^{75} +(-0.806714 - 0.764843i) q^{76} +(-0.774932 - 1.06660i) q^{77} +(-1.11919 - 1.29404i) q^{78} +(-8.04233 - 2.61311i) q^{79} +(8.50186 + 2.77821i) q^{80} +(3.02325 - 8.47703i) q^{81} +(10.7918 - 4.63946i) q^{82} +(0.222751 + 0.685556i) q^{83} +(3.35872 - 3.49256i) q^{84} +(9.22094 + 14.2799i) q^{85} +(-7.86058 + 13.2193i) q^{86} +(-6.17358 - 0.0438621i) q^{87} +(1.48260 + 2.21558i) q^{88} +(-4.97245 - 6.84399i) q^{89} +(3.13560 + 8.95366i) q^{90} +(0.574266 - 0.790409i) q^{91} +(-7.65496 - 3.64693i) q^{92} +(13.8511 - 9.91383i) q^{93} +(6.05985 - 5.31680i) q^{94} +(0.674208 + 1.04411i) q^{95} +(-7.05893 + 6.79496i) q^{96} +(-0.529007 + 1.62812i) q^{97} +(-6.13052 - 3.64538i) q^{98} +(-0.911897 + 2.67651i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.21555 0.722800i −0.859523 0.511097i
\(3\) −1.65104 + 0.523516i −0.953228 + 0.302252i
\(4\) 0.955121 + 1.75720i 0.477561 + 0.878599i
\(5\) −0.573135 2.16137i −0.256314 0.966594i
\(6\) 2.38532 + 0.557011i 0.973802 + 0.227399i
\(7\) 1.39878i 0.528689i 0.964428 + 0.264344i \(0.0851556\pi\)
−0.964428 + 0.264344i \(0.914844\pi\)
\(8\) 0.109105 2.82632i 0.0385745 0.999256i
\(9\) 2.45186 1.72869i 0.817287 0.576231i
\(10\) −0.865563 + 3.04151i −0.273715 + 0.961811i
\(11\) −0.762524 + 0.554006i −0.229910 + 0.167039i −0.696776 0.717289i \(-0.745383\pi\)
0.466866 + 0.884328i \(0.345383\pi\)
\(12\) −2.49686 2.40118i −0.720783 0.693161i
\(13\) −0.565071 0.410548i −0.156722 0.113865i 0.506660 0.862146i \(-0.330880\pi\)
−0.663383 + 0.748280i \(0.730880\pi\)
\(14\) 1.01104 1.70029i 0.270211 0.454420i
\(15\) 2.07778 + 3.26846i 0.536481 + 0.843913i
\(16\) −2.17549 + 3.35667i −0.543872 + 0.839168i
\(17\) −7.22981 + 2.34911i −1.75349 + 0.569742i −0.996493 0.0836799i \(-0.973333\pi\)
−0.756994 + 0.653422i \(0.773333\pi\)
\(18\) −4.22986 + 0.329106i −0.996987 + 0.0775710i
\(19\) −0.528622 + 0.171760i −0.121274 + 0.0394044i −0.369025 0.929419i \(-0.620308\pi\)
0.247751 + 0.968824i \(0.420308\pi\)
\(20\) 3.25054 3.07148i 0.726843 0.686804i
\(21\) −0.732284 2.30944i −0.159797 0.503961i
\(22\) 1.32732 0.122270i 0.282986 0.0260680i
\(23\) −3.42995 + 2.49200i −0.715193 + 0.519618i −0.884845 0.465886i \(-0.845736\pi\)
0.169652 + 0.985504i \(0.445736\pi\)
\(24\) 1.29949 + 4.72349i 0.265257 + 0.964178i
\(25\) −4.34303 + 2.47751i −0.868607 + 0.495502i
\(26\) 0.390127 + 0.907474i 0.0765103 + 0.177970i
\(27\) −3.14312 + 4.13773i −0.604894 + 0.796306i
\(28\) −2.45793 + 1.33600i −0.464505 + 0.252481i
\(29\) 3.38995 + 1.10146i 0.629498 + 0.204536i 0.606353 0.795196i \(-0.292632\pi\)
0.0231455 + 0.999732i \(0.492632\pi\)
\(30\) −0.163202 5.47479i −0.0297966 0.999556i
\(31\) −9.35292 + 3.03895i −1.67983 + 0.545811i −0.984879 0.173243i \(-0.944575\pi\)
−0.694954 + 0.719054i \(0.744575\pi\)
\(32\) 5.07062 2.50776i 0.896367 0.443314i
\(33\) 0.968926 1.31388i 0.168668 0.228717i
\(34\) 10.4861 + 2.37025i 1.79836 + 0.406494i
\(35\) 3.02328 0.801689i 0.511027 0.135510i
\(36\) 5.37948 + 2.65730i 0.896580 + 0.442883i
\(37\) −0.815640 0.592597i −0.134090 0.0974224i 0.518718 0.854945i \(-0.326409\pi\)
−0.652809 + 0.757523i \(0.726409\pi\)
\(38\) 0.766715 + 0.173306i 0.124378 + 0.0281139i
\(39\) 1.14788 + 0.382007i 0.183808 + 0.0611701i
\(40\) −6.17126 + 1.38405i −0.975761 + 0.218837i
\(41\) −4.88230 + 6.71991i −0.762487 + 1.04947i 0.234516 + 0.972112i \(0.424650\pi\)
−0.997003 + 0.0773615i \(0.975350\pi\)
\(42\) −0.779135 + 3.33653i −0.120223 + 0.514838i
\(43\) 10.8752i 1.65845i −0.558914 0.829225i \(-0.688782\pi\)
0.558914 0.829225i \(-0.311218\pi\)
\(44\) −1.70180 0.810762i −0.256556 0.122227i
\(45\) −5.14159 4.30860i −0.766463 0.642289i
\(46\) 5.97049 0.549987i 0.880301 0.0810912i
\(47\) −1.76153 + 5.42145i −0.256946 + 0.790799i 0.736494 + 0.676444i \(0.236480\pi\)
−0.993440 + 0.114355i \(0.963520\pi\)
\(48\) 1.83454 6.68090i 0.264793 0.964305i
\(49\) 5.04342 0.720488
\(50\) 7.06992 + 0.127605i 0.999837 + 0.0180461i
\(51\) 10.7069 7.66339i 1.49927 1.07309i
\(52\) 0.181703 1.38506i 0.0251977 0.192074i
\(53\) 4.78908 + 1.55607i 0.657831 + 0.213742i 0.618864 0.785498i \(-0.287593\pi\)
0.0389672 + 0.999240i \(0.487593\pi\)
\(54\) 6.81137 2.75777i 0.926910 0.375284i
\(55\) 1.63444 + 1.33058i 0.220388 + 0.179415i
\(56\) 3.95340 + 0.152614i 0.528295 + 0.0203939i
\(57\) 0.782857 0.560325i 0.103692 0.0742168i
\(58\) −3.32452 3.78914i −0.436531 0.497538i
\(59\) −5.62178 4.08446i −0.731894 0.531752i 0.158268 0.987396i \(-0.449409\pi\)
−0.890162 + 0.455644i \(0.849409\pi\)
\(60\) −3.75880 + 6.77285i −0.485259 + 0.874371i
\(61\) 0.0279495 0.0203065i 0.00357856 0.00259998i −0.585995 0.810315i \(-0.699296\pi\)
0.589573 + 0.807715i \(0.299296\pi\)
\(62\) 13.5655 + 3.06630i 1.72282 + 0.389420i
\(63\) 2.41806 + 3.42961i 0.304647 + 0.432091i
\(64\) −7.97619 0.616733i −0.997024 0.0770916i
\(65\) −0.563484 + 1.45663i −0.0698916 + 0.180672i
\(66\) −2.12745 + 0.896746i −0.261871 + 0.110382i
\(67\) −4.99301 + 1.62233i −0.609993 + 0.198199i −0.597692 0.801726i \(-0.703916\pi\)
−0.0123008 + 0.999924i \(0.503916\pi\)
\(68\) −11.0332 10.4605i −1.33797 1.26852i
\(69\) 4.35837 5.91003i 0.524686 0.711484i
\(70\) −4.25440 1.21073i −0.508499 0.144710i
\(71\) 2.97804 9.16545i 0.353428 1.08774i −0.603488 0.797372i \(-0.706223\pi\)
0.956916 0.290366i \(-0.0937772\pi\)
\(72\) −4.61833 7.11836i −0.544275 0.838907i
\(73\) 7.64233 5.55248i 0.894467 0.649868i −0.0425719 0.999093i \(-0.513555\pi\)
0.937039 + 0.349225i \(0.113555\pi\)
\(74\) 0.563122 + 1.30988i 0.0654616 + 0.152270i
\(75\) 5.87350 6.36412i 0.678213 0.734865i
\(76\) −0.806714 0.764843i −0.0925365 0.0877335i
\(77\) −0.774932 1.06660i −0.0883117 0.121551i
\(78\) −1.11919 1.29404i −0.126724 0.146521i
\(79\) −8.04233 2.61311i −0.904833 0.293998i −0.180603 0.983556i \(-0.557805\pi\)
−0.724230 + 0.689558i \(0.757805\pi\)
\(80\) 8.50186 + 2.77821i 0.950537 + 0.310613i
\(81\) 3.02325 8.47703i 0.335916 0.941892i
\(82\) 10.7918 4.63946i 1.19176 0.512342i
\(83\) 0.222751 + 0.685556i 0.0244501 + 0.0752495i 0.962537 0.271150i \(-0.0874041\pi\)
−0.938087 + 0.346400i \(0.887404\pi\)
\(84\) 3.35872 3.49256i 0.366467 0.381070i
\(85\) 9.22094 + 14.2799i 1.00015 + 1.54888i
\(86\) −7.86058 + 13.2193i −0.847629 + 1.42548i
\(87\) −6.17358 0.0438621i −0.661877 0.00470251i
\(88\) 1.48260 + 2.21558i 0.158046 + 0.236182i
\(89\) −4.97245 6.84399i −0.527078 0.725461i 0.459603 0.888124i \(-0.347992\pi\)
−0.986682 + 0.162663i \(0.947992\pi\)
\(90\) 3.13560 + 8.95366i 0.330521 + 0.943799i
\(91\) 0.574266 0.790409i 0.0601994 0.0828574i
\(92\) −7.65496 3.64693i −0.798084 0.380219i
\(93\) 13.8511 9.91383i 1.43629 1.02802i
\(94\) 6.05985 5.31680i 0.625026 0.548386i
\(95\) 0.674208 + 1.04411i 0.0691723 + 0.107123i
\(96\) −7.05893 + 6.79496i −0.720449 + 0.693508i
\(97\) −0.529007 + 1.62812i −0.0537125 + 0.165310i −0.974314 0.225193i \(-0.927699\pi\)
0.920602 + 0.390503i \(0.127699\pi\)
\(98\) −6.13052 3.64538i −0.619276 0.368239i
\(99\) −0.911897 + 2.67651i −0.0916491 + 0.269000i
\(100\) −8.50160 5.26524i −0.850160 0.526524i
\(101\) 11.0445i 1.09896i 0.835505 + 0.549482i \(0.185175\pi\)
−0.835505 + 0.549482i \(0.814825\pi\)
\(102\) −18.5539 + 1.57629i −1.83711 + 0.156075i
\(103\) 15.1217 + 4.91333i 1.48998 + 0.484125i 0.937078 0.349120i \(-0.113519\pi\)
0.552904 + 0.833245i \(0.313519\pi\)
\(104\) −1.22199 + 1.55228i −0.119826 + 0.152213i
\(105\) −4.57185 + 2.90636i −0.446167 + 0.283631i
\(106\) −4.69664 5.35303i −0.456178 0.519932i
\(107\) −1.60413 −0.155077 −0.0775386 0.996989i \(-0.524706\pi\)
−0.0775386 + 0.996989i \(0.524706\pi\)
\(108\) −10.2729 1.57105i −0.988507 0.151175i
\(109\) −7.49038 5.44208i −0.717448 0.521256i 0.168120 0.985767i \(-0.446230\pi\)
−0.885568 + 0.464510i \(0.846230\pi\)
\(110\) −1.02500 2.79875i −0.0977303 0.266851i
\(111\) 1.65689 + 0.551401i 0.157265 + 0.0523366i
\(112\) −4.69524 3.04303i −0.443659 0.287539i
\(113\) −7.66663 + 10.5522i −0.721216 + 0.992669i 0.278266 + 0.960504i \(0.410240\pi\)
−0.999483 + 0.0321650i \(0.989760\pi\)
\(114\) −1.35660 + 0.115253i −0.127058 + 0.0107945i
\(115\) 7.35196 + 5.98513i 0.685574 + 0.558116i
\(116\) 1.30233 + 7.00885i 0.120918 + 0.650755i
\(117\) −2.09519 0.0297733i −0.193700 0.00275254i
\(118\) 3.88130 + 9.02829i 0.357303 + 0.831121i
\(119\) −3.28588 10.1129i −0.301216 0.927049i
\(120\) 9.46442 5.51587i 0.863979 0.503528i
\(121\) −3.12467 + 9.61674i −0.284061 + 0.874249i
\(122\) −0.0486515 + 0.00448166i −0.00440470 + 0.000405750i
\(123\) 4.54289 13.6508i 0.409618 1.23085i
\(124\) −14.2732 13.5324i −1.28177 1.21524i
\(125\) 7.84396 + 7.96695i 0.701585 + 0.712586i
\(126\) −0.460346 5.91663i −0.0410109 0.527096i
\(127\) 12.0521 + 16.5882i 1.06945 + 1.47197i 0.870635 + 0.491930i \(0.163708\pi\)
0.198813 + 0.980038i \(0.436292\pi\)
\(128\) 9.24968 + 6.51486i 0.817564 + 0.575838i
\(129\) 5.69334 + 17.9554i 0.501271 + 1.58088i
\(130\) 1.73779 1.36331i 0.152414 0.119571i
\(131\) 0.495761 + 1.52580i 0.0433149 + 0.133309i 0.970375 0.241602i \(-0.0776730\pi\)
−0.927060 + 0.374912i \(0.877673\pi\)
\(132\) 3.23419 + 0.447680i 0.281500 + 0.0389656i
\(133\) −0.240254 0.739426i −0.0208327 0.0641163i
\(134\) 7.24187 + 1.63693i 0.625602 + 0.141409i
\(135\) 10.7446 + 4.42197i 0.924747 + 0.380582i
\(136\) 5.85052 + 20.6901i 0.501678 + 1.77416i
\(137\) 8.88623 12.2308i 0.759202 1.04495i −0.238078 0.971246i \(-0.576517\pi\)
0.997280 0.0737058i \(-0.0234826\pi\)
\(138\) −9.56958 + 4.03370i −0.814617 + 0.343371i
\(139\) 1.83329 + 2.52331i 0.155498 + 0.214024i 0.879657 0.475608i \(-0.157772\pi\)
−0.724159 + 0.689633i \(0.757772\pi\)
\(140\) 4.29632 + 4.54679i 0.363105 + 0.384274i
\(141\) 0.0701472 9.87321i 0.00590746 0.831474i
\(142\) −10.2447 + 8.98853i −0.859719 + 0.754301i
\(143\) 0.658326 0.0550520
\(144\) 0.468660 + 11.9908i 0.0390550 + 0.999237i
\(145\) 0.437767 7.95823i 0.0363546 0.660895i
\(146\) −13.3030 + 1.22544i −1.10096 + 0.101418i
\(147\) −8.32688 + 2.64031i −0.686789 + 0.217769i
\(148\) 0.262276 1.99924i 0.0215589 0.164337i
\(149\) 3.67430i 0.301010i 0.988609 + 0.150505i \(0.0480900\pi\)
−0.988609 + 0.150505i \(0.951910\pi\)
\(150\) −11.7395 + 3.49054i −0.958527 + 0.285001i
\(151\) 0.209140i 0.0170196i −0.999964 0.00850978i \(-0.997291\pi\)
0.999964 0.00850978i \(-0.00270878\pi\)
\(152\) 0.427773 + 1.51280i 0.0346970 + 0.122704i
\(153\) −13.6656 + 18.2578i −1.10480 + 1.47606i
\(154\) 0.171028 + 1.85663i 0.0137818 + 0.149611i
\(155\) 11.9288 + 18.4734i 0.958142 + 1.48382i
\(156\) 0.425105 + 2.38192i 0.0340356 + 0.190706i
\(157\) −18.9560 −1.51286 −0.756429 0.654076i \(-0.773058\pi\)
−0.756429 + 0.654076i \(0.773058\pi\)
\(158\) 7.88710 + 8.98936i 0.627464 + 0.715155i
\(159\) −8.72159 0.0619652i −0.691667 0.00491416i
\(160\) −8.32634 9.52219i −0.658255 0.752795i
\(161\) −3.48576 4.79774i −0.274716 0.378115i
\(162\) −9.80210 + 8.11904i −0.770126 + 0.637892i
\(163\) 10.7412 14.7840i 0.841316 1.15797i −0.144394 0.989520i \(-0.546123\pi\)
0.985710 0.168452i \(-0.0538768\pi\)
\(164\) −16.4714 2.16084i −1.28620 0.168733i
\(165\) −3.39510 1.34118i −0.264308 0.104410i
\(166\) 0.224755 0.994331i 0.0174444 0.0771751i
\(167\) −1.73690 5.34563i −0.134405 0.413657i 0.861092 0.508450i \(-0.169781\pi\)
−0.995497 + 0.0947924i \(0.969781\pi\)
\(168\) −6.60711 + 1.81770i −0.509750 + 0.140238i
\(169\) −3.86647 11.8998i −0.297420 0.915366i
\(170\) −0.886982 24.0229i −0.0680284 1.84247i
\(171\) −0.999189 + 1.33496i −0.0764099 + 0.102087i
\(172\) 19.1099 10.3871i 1.45711 0.792011i
\(173\) −1.26475 1.74077i −0.0961569 0.132349i 0.758228 0.651990i \(-0.226066\pi\)
−0.854384 + 0.519641i \(0.826066\pi\)
\(174\) 7.47259 + 4.51558i 0.566495 + 0.342325i
\(175\) −3.46549 6.07494i −0.261967 0.459223i
\(176\) −0.200756 3.76478i −0.0151325 0.283781i
\(177\) 11.4201 + 3.80051i 0.858385 + 0.285664i
\(178\) 1.09742 + 11.9133i 0.0822554 + 0.892939i
\(179\) 6.90402 21.2484i 0.516030 1.58818i −0.265369 0.964147i \(-0.585494\pi\)
0.781399 0.624031i \(-0.214506\pi\)
\(180\) 2.66023 13.1500i 0.198282 0.980145i
\(181\) −2.28093 7.01999i −0.169541 0.521792i 0.829802 0.558058i \(-0.188454\pi\)
−0.999342 + 0.0362664i \(0.988454\pi\)
\(182\) −1.26936 + 0.545702i −0.0940909 + 0.0404501i
\(183\) −0.0355149 + 0.0481588i −0.00262534 + 0.00356000i
\(184\) 6.66898 + 9.96602i 0.491643 + 0.734705i
\(185\) −0.813350 + 2.10254i −0.0597987 + 0.154582i
\(186\) −24.0024 + 2.03918i −1.75994 + 0.149520i
\(187\) 4.21148 5.79661i 0.307974 0.423890i
\(188\) −11.2090 + 2.08277i −0.817503 + 0.151902i
\(189\) −5.78777 4.39653i −0.420998 0.319801i
\(190\) −0.0648535 1.75648i −0.00470497 0.127428i
\(191\) −12.7156 9.23842i −0.920068 0.668468i 0.0234732 0.999724i \(-0.492528\pi\)
−0.943541 + 0.331256i \(0.892528\pi\)
\(192\) 13.4919 3.15742i 0.973692 0.227867i
\(193\) −15.6109 −1.12370 −0.561848 0.827241i \(-0.689909\pi\)
−0.561848 + 0.827241i \(0.689909\pi\)
\(194\) 1.81984 1.59669i 0.130657 0.114636i
\(195\) 0.167767 2.69994i 0.0120140 0.193347i
\(196\) 4.81707 + 8.86228i 0.344077 + 0.633020i
\(197\) −5.36177 1.74214i −0.382010 0.124123i 0.111716 0.993740i \(-0.464365\pi\)
−0.493726 + 0.869618i \(0.664365\pi\)
\(198\) 3.04304 2.59432i 0.216259 0.184370i
\(199\) 11.8649i 0.841079i 0.907274 + 0.420539i \(0.138159\pi\)
−0.907274 + 0.420539i \(0.861841\pi\)
\(200\) 6.52840 + 12.5451i 0.461627 + 0.887074i
\(201\) 7.39434 5.29245i 0.521556 0.373300i
\(202\) 7.98293 13.4251i 0.561677 0.944586i
\(203\) −1.54070 + 4.74179i −0.108136 + 0.332809i
\(204\) 23.6925 + 11.4947i 1.65881 + 0.804789i
\(205\) 17.3224 + 6.70104i 1.20985 + 0.468021i
\(206\) −14.8298 16.9023i −1.03324 1.17764i
\(207\) −4.10185 + 12.0394i −0.285098 + 0.836794i
\(208\) 2.60738 1.00362i 0.180789 0.0695882i
\(209\) 0.307931 0.423831i 0.0213000 0.0293170i
\(210\) 7.65803 0.228284i 0.528454 0.0157531i
\(211\) −9.31894 12.8264i −0.641542 0.883007i 0.357154 0.934045i \(-0.383747\pi\)
−0.998697 + 0.0510380i \(0.983747\pi\)
\(212\) 1.83984 + 9.90160i 0.126360 + 0.680045i
\(213\) −0.118590 + 16.6916i −0.00812568 + 1.14369i
\(214\) 1.94990 + 1.15947i 0.133293 + 0.0792595i
\(215\) −23.5053 + 6.23295i −1.60305 + 0.425084i
\(216\) 11.3516 + 9.33492i 0.772380 + 0.635161i
\(217\) −4.25082 13.0827i −0.288564 0.888109i
\(218\) 5.17139 + 12.0292i 0.350251 + 0.814717i
\(219\) −9.71097 + 13.1682i −0.656207 + 0.889827i
\(220\) −0.776996 + 4.14290i −0.0523850 + 0.279314i
\(221\) 5.04977 + 1.64077i 0.339685 + 0.110370i
\(222\) −1.61548 1.86785i −0.108424 0.125362i
\(223\) −9.36149 12.8850i −0.626892 0.862842i 0.370940 0.928657i \(-0.379036\pi\)
−0.997832 + 0.0658143i \(0.979036\pi\)
\(224\) 3.50780 + 7.09267i 0.234375 + 0.473899i
\(225\) −6.36566 + 13.5823i −0.424377 + 0.905485i
\(226\) 16.9463 7.28530i 1.12725 0.484611i
\(227\) 13.4994 9.80788i 0.895986 0.650972i −0.0414460 0.999141i \(-0.513196\pi\)
0.937432 + 0.348169i \(0.113196\pi\)
\(228\) 1.73232 + 0.840457i 0.114726 + 0.0556606i
\(229\) −2.45293 + 7.54935i −0.162094 + 0.498875i −0.998810 0.0487618i \(-0.984472\pi\)
0.836716 + 0.547637i \(0.184472\pi\)
\(230\) −4.61062 12.5892i −0.304015 0.830108i
\(231\) 1.83783 + 1.35531i 0.120920 + 0.0891730i
\(232\) 3.48295 9.46092i 0.228667 0.621140i
\(233\) 3.56864 1.15952i 0.233789 0.0759628i −0.189779 0.981827i \(-0.560777\pi\)
0.423569 + 0.905864i \(0.360777\pi\)
\(234\) 2.52528 + 1.55059i 0.165083 + 0.101365i
\(235\) 12.7273 + 0.700107i 0.830240 + 0.0456700i
\(236\) 1.80773 13.7797i 0.117673 0.896984i
\(237\) 14.6462 + 0.104059i 0.951374 + 0.00675933i
\(238\) −3.31545 + 14.6678i −0.214909 + 0.950770i
\(239\) −10.2168 + 7.42294i −0.660870 + 0.480150i −0.866956 0.498384i \(-0.833927\pi\)
0.206087 + 0.978534i \(0.433927\pi\)
\(240\) −15.4913 0.136066i −0.999961 0.00878302i
\(241\) 12.1828 + 8.85135i 0.784765 + 0.570165i 0.906405 0.422409i \(-0.138815\pi\)
−0.121640 + 0.992574i \(0.538815\pi\)
\(242\) 10.7492 9.43111i 0.690982 0.606255i
\(243\) −0.553639 + 15.5786i −0.0355160 + 0.999369i
\(244\) 0.0623776 + 0.0297176i 0.00399332 + 0.00190248i
\(245\) −2.89056 10.9007i −0.184671 0.696419i
\(246\) −15.3889 + 13.3096i −0.981161 + 0.848591i
\(247\) 0.369225 + 0.119968i 0.0234932 + 0.00763340i
\(248\) 7.56859 + 26.7659i 0.480606 + 1.69964i
\(249\) −0.726670 1.01527i −0.0460508 0.0643399i
\(250\) −3.77621 15.3538i −0.238829 0.971062i
\(251\) 19.7188 1.24464 0.622319 0.782764i \(-0.286191\pi\)
0.622319 + 0.782764i \(0.286191\pi\)
\(252\) −3.71697 + 7.52470i −0.234147 + 0.474012i
\(253\) 1.23483 3.80042i 0.0776332 0.238931i
\(254\) −2.65990 28.8750i −0.166897 1.81178i
\(255\) −22.6999 18.7494i −1.42152 1.17413i
\(256\) −6.53451 14.6048i −0.408407 0.912800i
\(257\) 10.0613i 0.627609i −0.949488 0.313804i \(-0.898396\pi\)
0.949488 0.313804i \(-0.101604\pi\)
\(258\) 6.05760 25.9408i 0.377130 1.61500i
\(259\) 0.828913 1.14090i 0.0515061 0.0708921i
\(260\) −3.09777 + 0.401101i −0.192116 + 0.0248752i
\(261\) 10.2158 3.15955i 0.632341 0.195571i
\(262\) 0.500223 2.21302i 0.0309039 0.136721i
\(263\) 23.2025 + 16.8576i 1.43073 + 1.03948i 0.989881 + 0.141900i \(0.0453211\pi\)
0.440845 + 0.897583i \(0.354679\pi\)
\(264\) −3.60773 2.88185i −0.222041 0.177365i
\(265\) 0.618446 11.2428i 0.0379908 0.690641i
\(266\) −0.242416 + 1.07246i −0.0148635 + 0.0657570i
\(267\) 11.7926 + 8.69653i 0.721698 + 0.532219i
\(268\) −7.61968 7.22418i −0.465446 0.441287i
\(269\) −21.3955 + 6.95183i −1.30451 + 0.423861i −0.877148 0.480220i \(-0.840557\pi\)
−0.427361 + 0.904081i \(0.640557\pi\)
\(270\) −9.86438 13.1413i −0.600327 0.799755i
\(271\) 2.25103 + 0.731404i 0.136740 + 0.0444297i 0.376588 0.926381i \(-0.377097\pi\)
−0.239847 + 0.970811i \(0.577097\pi\)
\(272\) 7.84318 29.3786i 0.475562 1.78134i
\(273\) −0.534343 + 1.60563i −0.0323399 + 0.0971774i
\(274\) −19.6421 + 8.44423i −1.18662 + 0.510135i
\(275\) 1.93911 4.29523i 0.116933 0.259012i
\(276\) 14.5479 + 2.01373i 0.875678 + 0.121212i
\(277\) −11.0147 + 8.00263i −0.661808 + 0.480831i −0.867273 0.497833i \(-0.834129\pi\)
0.205465 + 0.978664i \(0.434129\pi\)
\(278\) −0.404609 4.39231i −0.0242668 0.263433i
\(279\) −17.6787 + 23.6194i −1.05839 + 1.41406i
\(280\) −1.93598 8.63222i −0.115697 0.515874i
\(281\) 20.5337 6.67182i 1.22494 0.398007i 0.376062 0.926595i \(-0.377278\pi\)
0.848879 + 0.528587i \(0.177278\pi\)
\(282\) −7.22162 + 11.9507i −0.430041 + 0.711652i
\(283\) −8.14044 + 2.64499i −0.483899 + 0.157228i −0.540800 0.841152i \(-0.681878\pi\)
0.0569005 + 0.998380i \(0.481878\pi\)
\(284\) 18.9499 3.52112i 1.12447 0.208940i
\(285\) −1.65975 1.37090i −0.0983152 0.0812052i
\(286\) −0.800228 0.475838i −0.0473184 0.0281369i
\(287\) −9.39967 6.82926i −0.554845 0.403119i
\(288\) 8.09730 14.9142i 0.477138 0.878828i
\(289\) 32.9986 23.9749i 1.94109 1.41029i
\(290\) −6.28433 + 9.35720i −0.369029 + 0.549474i
\(291\) 0.0210659 2.96503i 0.00123491 0.173813i
\(292\) 17.0561 + 8.12579i 0.998136 + 0.475526i
\(293\) 1.06473i 0.0622019i −0.999516 0.0311010i \(-0.990099\pi\)
0.999516 0.0311010i \(-0.00990134\pi\)
\(294\) 12.0302 + 2.80924i 0.701613 + 0.163838i
\(295\) −5.60599 + 14.4917i −0.326394 + 0.843739i
\(296\) −1.76386 + 2.24061i −0.102522 + 0.130233i
\(297\) 0.104378 4.89642i 0.00605665 0.284119i
\(298\) 2.65578 4.46629i 0.153845 0.258725i
\(299\) 2.96125 0.171253
\(300\) 16.7929 + 4.24240i 0.969540 + 0.244935i
\(301\) 15.2120 0.876804
\(302\) −0.151166 + 0.254220i −0.00869864 + 0.0146287i
\(303\) −5.78196 18.2348i −0.332165 1.04756i
\(304\) 0.573470 2.14807i 0.0328908 0.123200i
\(305\) −0.0599086 0.0487708i −0.00343036 0.00279261i
\(306\) 29.8080 12.3158i 1.70401 0.704045i
\(307\) 19.3540i 1.10459i −0.833648 0.552297i \(-0.813752\pi\)
0.833648 0.552297i \(-0.186248\pi\)
\(308\) 1.13408 2.38044i 0.0646201 0.135638i
\(309\) −27.5387 0.195657i −1.56662 0.0111305i
\(310\) −1.14745 31.0774i −0.0651710 1.76508i
\(311\) −19.1282 + 13.8975i −1.08466 + 0.788053i −0.978490 0.206294i \(-0.933860\pi\)
−0.106173 + 0.994348i \(0.533860\pi\)
\(312\) 1.20491 3.20261i 0.0682148 0.181312i
\(313\) −8.55797 6.21773i −0.483725 0.351447i 0.319041 0.947741i \(-0.396639\pi\)
−0.802766 + 0.596294i \(0.796639\pi\)
\(314\) 23.0420 + 13.7014i 1.30034 + 0.773216i
\(315\) 6.02678 7.19195i 0.339571 0.405220i
\(316\) −3.08965 16.6278i −0.173806 0.935387i
\(317\) 9.10169 2.95732i 0.511202 0.166100i −0.0420468 0.999116i \(-0.513388\pi\)
0.553249 + 0.833016i \(0.313388\pi\)
\(318\) 10.5567 + 6.37929i 0.591992 + 0.357733i
\(319\) −3.19514 + 1.03816i −0.178893 + 0.0581260i
\(320\) 3.23845 + 17.5930i 0.181035 + 0.983477i
\(321\) 2.64848 0.839789i 0.147824 0.0468725i
\(322\) 0.769311 + 8.35139i 0.0428720 + 0.465405i
\(323\) 3.41836 2.48358i 0.190202 0.138190i
\(324\) 17.7834 2.78414i 0.987965 0.154675i
\(325\) 3.47126 + 0.383054i 0.192551 + 0.0212480i
\(326\) −23.7423 + 10.2069i −1.31497 + 0.565310i
\(327\) 15.2159 + 5.06375i 0.841442 + 0.280026i
\(328\) 18.4599 + 14.5321i 1.01928 + 0.802403i
\(329\) −7.58340 2.46400i −0.418087 0.135845i
\(330\) 3.15751 + 4.08425i 0.173815 + 0.224830i
\(331\) −26.9626 + 8.76070i −1.48200 + 0.481531i −0.934710 0.355411i \(-0.884341\pi\)
−0.547291 + 0.836942i \(0.684341\pi\)
\(332\) −0.991903 + 1.04621i −0.0544378 + 0.0574180i
\(333\) −3.02426 0.0429757i −0.165728 0.00235505i
\(334\) −1.75253 + 7.75331i −0.0958943 + 0.424242i
\(335\) 6.36811 + 9.86192i 0.347927 + 0.538814i
\(336\) 9.34511 + 2.56612i 0.509817 + 0.139993i
\(337\) 12.2835 + 8.92450i 0.669126 + 0.486149i 0.869733 0.493523i \(-0.164291\pi\)
−0.200606 + 0.979672i \(0.564291\pi\)
\(338\) −3.90126 + 17.2594i −0.212201 + 0.938789i
\(339\) 7.13366 21.4357i 0.387447 1.16423i
\(340\) −16.2855 + 29.8421i −0.883208 + 1.61841i
\(341\) 5.44823 7.49884i 0.295038 0.406085i
\(342\) 2.17947 0.900492i 0.117852 0.0486930i
\(343\) 16.8461i 0.909603i
\(344\) −30.7368 1.18654i −1.65722 0.0639740i
\(345\) −15.2717 6.03281i −0.822200 0.324796i
\(346\) 0.279131 + 3.03016i 0.0150062 + 0.162902i
\(347\) −5.16065 + 15.8829i −0.277038 + 0.852636i 0.711634 + 0.702550i \(0.247955\pi\)
−0.988673 + 0.150087i \(0.952045\pi\)
\(348\) −5.81944 10.8901i −0.311955 0.583770i
\(349\) −0.749233 −0.0401055 −0.0200528 0.999799i \(-0.506383\pi\)
−0.0200528 + 0.999799i \(0.506383\pi\)
\(350\) −0.178492 + 9.88925i −0.00954077 + 0.528603i
\(351\) 3.47482 1.04771i 0.185472 0.0559225i
\(352\) −2.47715 + 4.72138i −0.132033 + 0.251650i
\(353\) 16.0086 + 5.20152i 0.852054 + 0.276849i 0.702306 0.711875i \(-0.252154\pi\)
0.149748 + 0.988724i \(0.452154\pi\)
\(354\) −11.1346 12.8741i −0.591800 0.684252i
\(355\) −21.5167 1.18360i −1.14199 0.0628187i
\(356\) 7.27695 15.2744i 0.385677 0.809542i
\(357\) 10.7194 + 14.9766i 0.567330 + 0.792645i
\(358\) −23.7505 + 20.8382i −1.25525 + 1.10133i
\(359\) 19.2899 + 14.0150i 1.01808 + 0.739681i 0.965889 0.258956i \(-0.0833784\pi\)
0.0521945 + 0.998637i \(0.483378\pi\)
\(360\) −12.7385 + 14.0617i −0.671377 + 0.741116i
\(361\) −15.1214 + 10.9863i −0.795862 + 0.578228i
\(362\) −2.30146 + 10.1818i −0.120962 + 0.535144i
\(363\) 0.124429 17.5134i 0.00653085 0.919216i
\(364\) 1.93740 + 0.254162i 0.101547 + 0.0133217i
\(365\) −16.3810 13.3356i −0.857423 0.698016i
\(366\) 0.0779793 0.0328693i 0.00407604 0.00171810i
\(367\) −12.8458 + 4.17386i −0.670546 + 0.217873i −0.624451 0.781064i \(-0.714677\pi\)
−0.0460942 + 0.998937i \(0.514677\pi\)
\(368\) −0.903029 16.9345i −0.0470737 0.882773i
\(369\) −0.354069 + 24.9163i −0.0184321 + 1.29709i
\(370\) 2.50838 1.96785i 0.130405 0.102304i
\(371\) −2.17659 + 6.69887i −0.113003 + 0.347788i
\(372\) 30.6500 + 14.8702i 1.58913 + 0.770984i
\(373\) 5.22690 3.79756i 0.270638 0.196630i −0.444185 0.895935i \(-0.646507\pi\)
0.714824 + 0.699305i \(0.246507\pi\)
\(374\) −9.30905 + 4.00201i −0.481360 + 0.206939i
\(375\) −17.1215 9.04730i −0.884151 0.467201i
\(376\) 15.1306 + 5.57017i 0.780299 + 0.287260i
\(377\) −1.46336 2.01414i −0.0753669 0.103734i
\(378\) 3.85751 + 9.52760i 0.198409 + 0.490047i
\(379\) 7.78474 + 2.52941i 0.399875 + 0.129927i 0.502049 0.864839i \(-0.332580\pi\)
−0.102174 + 0.994767i \(0.532580\pi\)
\(380\) −1.19075 + 2.18197i −0.0610842 + 0.111932i
\(381\) −28.5826 21.0784i −1.46433 1.07988i
\(382\) 8.77890 + 20.4206i 0.449168 + 1.04481i
\(383\) −3.02099 9.29766i −0.154366 0.475088i 0.843731 0.536767i \(-0.180355\pi\)
−0.998096 + 0.0616787i \(0.980355\pi\)
\(384\) −18.6822 5.91393i −0.953373 0.301794i
\(385\) −1.86118 + 2.28622i −0.0948546 + 0.116517i
\(386\) 18.9758 + 11.2835i 0.965842 + 0.574317i
\(387\) −18.7999 26.6645i −0.955650 1.35543i
\(388\) −3.36619 + 0.625478i −0.170892 + 0.0317538i
\(389\) 7.93797 + 10.9257i 0.402471 + 0.553954i 0.961362 0.275287i \(-0.0887729\pi\)
−0.558891 + 0.829241i \(0.688773\pi\)
\(390\) −2.15544 + 3.16065i −0.109145 + 0.160046i
\(391\) 18.9439 26.0740i 0.958033 1.31862i
\(392\) 0.550263 14.2543i 0.0277925 0.719952i
\(393\) −1.61730 2.25961i −0.0815820 0.113982i
\(394\) 5.25827 + 5.99315i 0.264908 + 0.301930i
\(395\) −1.03856 + 18.8801i −0.0522556 + 0.949962i
\(396\) −5.57414 + 0.954012i −0.280111 + 0.0479409i
\(397\) −11.3811 + 35.0273i −0.571199 + 1.75797i 0.0775729 + 0.996987i \(0.475283\pi\)
−0.648772 + 0.760983i \(0.724717\pi\)
\(398\) 8.57593 14.4223i 0.429873 0.722927i
\(399\) 0.783770 + 1.09504i 0.0392376 + 0.0548208i
\(400\) 1.13202 19.9679i 0.0566009 0.998397i
\(401\) 21.5169i 1.07450i 0.843421 + 0.537252i \(0.180538\pi\)
−0.843421 + 0.537252i \(0.819462\pi\)
\(402\) −12.8136 + 1.08860i −0.639082 + 0.0542947i
\(403\) 6.53269 + 2.12260i 0.325417 + 0.105734i
\(404\) −19.4073 + 10.5488i −0.965549 + 0.524822i
\(405\) −20.0547 1.67588i −0.996527 0.0832749i
\(406\) 5.30017 4.65027i 0.263043 0.230789i
\(407\) 0.950248 0.0471020
\(408\) −20.4910 31.0973i −1.01446 1.53954i
\(409\) 6.48049 + 4.70835i 0.320440 + 0.232813i 0.736363 0.676587i \(-0.236542\pi\)
−0.415923 + 0.909400i \(0.636542\pi\)
\(410\) −16.2128 20.6661i −0.800691 1.02063i
\(411\) −8.26847 + 24.8457i −0.407853 + 1.22555i
\(412\) 5.80934 + 31.2646i 0.286205 + 1.54030i
\(413\) 5.71326 7.86363i 0.281131 0.386944i
\(414\) 13.6881 11.6696i 0.672731 0.573531i
\(415\) 1.35407 0.874362i 0.0664688 0.0429207i
\(416\) −3.89481 0.664669i −0.190959 0.0325881i
\(417\) −4.34783 3.20632i −0.212914 0.157014i
\(418\) −0.680650 + 0.292615i −0.0332917 + 0.0143123i
\(419\) 2.23727 + 6.88561i 0.109298 + 0.336384i 0.990715 0.135954i \(-0.0434101\pi\)
−0.881417 + 0.472338i \(0.843410\pi\)
\(420\) −9.47371 5.25773i −0.462270 0.256551i
\(421\) −6.82294 + 20.9988i −0.332530 + 1.02342i 0.635396 + 0.772186i \(0.280837\pi\)
−0.967926 + 0.251235i \(0.919163\pi\)
\(422\) 2.05670 + 22.3269i 0.100119 + 1.08686i
\(423\) 5.05297 + 16.3378i 0.245684 + 0.794370i
\(424\) 4.92046 13.3657i 0.238959 0.649097i
\(425\) 25.5794 28.1142i 1.24078 1.36374i
\(426\) 12.2088 20.2037i 0.591519 0.978873i
\(427\) 0.0284043 + 0.0390951i 0.00137458 + 0.00189195i
\(428\) −1.53214 2.81878i −0.0740588 0.136251i
\(429\) −1.08692 + 0.344644i −0.0524771 + 0.0166396i
\(430\) 33.0770 + 9.41317i 1.59512 + 0.453943i
\(431\) −5.47037 16.8361i −0.263499 0.810965i −0.992035 0.125959i \(-0.959799\pi\)
0.728537 0.685007i \(-0.240201\pi\)
\(432\) −7.05118 19.5520i −0.339250 0.940696i
\(433\) −7.41816 22.8308i −0.356494 1.09718i −0.955138 0.296161i \(-0.904293\pi\)
0.598644 0.801015i \(-0.295707\pi\)
\(434\) −4.28907 + 18.9751i −0.205882 + 0.910835i
\(435\) 3.44349 + 13.3685i 0.165103 + 0.640972i
\(436\) 2.40859 18.3599i 0.115350 0.879280i
\(437\) 1.38512 1.90646i 0.0662593 0.0911981i
\(438\) 21.3222 8.98756i 1.01881 0.429442i
\(439\) 9.49504 + 13.0688i 0.453173 + 0.623740i 0.973076 0.230486i \(-0.0740316\pi\)
−0.519902 + 0.854226i \(0.674032\pi\)
\(440\) 3.93896 4.47428i 0.187783 0.213303i
\(441\) 12.3658 8.71852i 0.588846 0.415167i
\(442\) −4.95230 5.64441i −0.235557 0.268477i
\(443\) −20.1940 −0.959447 −0.479723 0.877420i \(-0.659263\pi\)
−0.479723 + 0.877420i \(0.659263\pi\)
\(444\) 0.613609 + 3.43814i 0.0291206 + 0.163167i
\(445\) −11.9425 + 14.6698i −0.566129 + 0.695416i
\(446\) 2.06609 + 22.4288i 0.0978322 + 1.06204i
\(447\) −1.92355 6.06641i −0.0909810 0.286931i
\(448\) 0.862673 11.1569i 0.0407575 0.527115i
\(449\) 8.94462i 0.422123i −0.977473 0.211061i \(-0.932308\pi\)
0.977473 0.211061i \(-0.0676920\pi\)
\(450\) 17.5550 11.9088i 0.827553 0.561388i
\(451\) 7.82892i 0.368649i
\(452\) −25.8649 3.39315i −1.21658 0.159600i
\(453\) 0.109488 + 0.345298i 0.00514420 + 0.0162235i
\(454\) −23.4983 + 2.16461i −1.10283 + 0.101590i
\(455\) −2.03750 0.788189i −0.0955193 0.0369509i
\(456\) −1.49824 2.27374i −0.0701617 0.106478i
\(457\) −9.72369 −0.454855 −0.227428 0.973795i \(-0.573031\pi\)
−0.227428 + 0.973795i \(0.573031\pi\)
\(458\) 8.43833 7.40363i 0.394297 0.345949i
\(459\) 13.0042 37.2985i 0.606984 1.74095i
\(460\) −3.49504 + 18.6354i −0.162957 + 0.868878i
\(461\) −23.8004 32.7584i −1.10849 1.52571i −0.823617 0.567147i \(-0.808047\pi\)
−0.284877 0.958564i \(-0.591953\pi\)
\(462\) −1.25435 2.97583i −0.0583576 0.138448i
\(463\) −20.3999 + 28.0780i −0.948062 + 1.30490i 0.00432102 + 0.999991i \(0.498625\pi\)
−0.952383 + 0.304905i \(0.901375\pi\)
\(464\) −11.0721 + 8.98275i −0.514007 + 0.417013i
\(465\) −29.3660 24.2554i −1.36181 1.12482i
\(466\) −5.17596 1.16996i −0.239772 0.0541972i
\(467\) 8.74971 + 26.9288i 0.404888 + 1.24612i 0.920988 + 0.389590i \(0.127383\pi\)
−0.516100 + 0.856528i \(0.672617\pi\)
\(468\) −1.94884 3.71009i −0.0900851 0.171499i
\(469\) −2.26928 6.98412i −0.104785 0.322496i
\(470\) −14.9647 10.0503i −0.690269 0.463587i
\(471\) 31.2972 9.92380i 1.44210 0.457265i
\(472\) −12.1574 + 15.4433i −0.559588 + 0.710837i
\(473\) 6.02492 + 8.29259i 0.277026 + 0.381294i
\(474\) −17.7280 10.7128i −0.814273 0.492054i
\(475\) 1.87029 2.05563i 0.0858147 0.0943186i
\(476\) 14.6320 15.4330i 0.670655 0.707370i
\(477\) 14.4321 4.46359i 0.660802 0.204374i
\(478\) 17.7843 1.63825i 0.813436 0.0749318i
\(479\) −5.34279 + 16.4434i −0.244118 + 0.751319i 0.751662 + 0.659549i \(0.229253\pi\)
−0.995780 + 0.0917705i \(0.970747\pi\)
\(480\) 18.7321 + 11.3625i 0.855001 + 0.518626i
\(481\) 0.217605 + 0.669719i 0.00992193 + 0.0305365i
\(482\) −8.41109 19.5650i −0.383114 0.891161i
\(483\) 8.26682 + 6.09640i 0.376153 + 0.277396i
\(484\) −19.8829 + 3.69449i −0.903770 + 0.167931i
\(485\) 3.82215 + 0.210249i 0.173555 + 0.00954693i
\(486\) 11.9332 18.5364i 0.541301 0.840829i
\(487\) 14.8403 20.4260i 0.672480 0.925590i −0.327333 0.944909i \(-0.606150\pi\)
0.999813 + 0.0193191i \(0.00614986\pi\)
\(488\) −0.0543432 0.0812098i −0.00246000 0.00367619i
\(489\) −9.99448 + 30.0322i −0.451966 + 1.35810i
\(490\) −4.36540 + 15.3396i −0.197209 + 0.692973i
\(491\) −5.94090 4.31631i −0.268109 0.194792i 0.445605 0.895230i \(-0.352988\pi\)
−0.713714 + 0.700437i \(0.752988\pi\)
\(492\) 28.3262 5.05542i 1.27704 0.227916i
\(493\) −27.0962 −1.22035
\(494\) −0.362098 0.412703i −0.0162915 0.0185684i
\(495\) 6.30758 + 0.436942i 0.283504 + 0.0196391i
\(496\) 10.1464 38.0059i 0.455587 1.70651i
\(497\) 12.8204 + 4.16561i 0.575075 + 0.186853i
\(498\) 0.149469 + 1.75934i 0.00669786 + 0.0788380i
\(499\) 8.52203i 0.381498i −0.981639 0.190749i \(-0.938908\pi\)
0.981639 0.190749i \(-0.0610917\pi\)
\(500\) −6.50757 + 21.3928i −0.291028 + 0.956715i
\(501\) 5.66622 + 7.91655i 0.253148 + 0.353686i
\(502\) −23.9691 14.2527i −1.06979 0.636130i
\(503\) −4.26171 + 13.1162i −0.190020 + 0.584823i −0.999999 0.00163729i \(-0.999479\pi\)
0.809978 + 0.586460i \(0.199479\pi\)
\(504\) 9.95701 6.46002i 0.443521 0.287752i
\(505\) 23.8712 6.32996i 1.06225 0.281680i
\(506\) −4.24794 + 3.72707i −0.188844 + 0.165688i
\(507\) 12.6134 + 17.6228i 0.560181 + 0.782656i
\(508\) −17.6376 + 37.0216i −0.782543 + 1.64257i
\(509\) 12.1728 16.7544i 0.539549 0.742625i −0.448999 0.893532i \(-0.648219\pi\)
0.988548 + 0.150907i \(0.0482195\pi\)
\(510\) 14.0408 + 39.1983i 0.621737 + 1.73573i
\(511\) 7.76669 + 10.6899i 0.343578 + 0.472895i
\(512\) −2.61333 + 22.4760i −0.115494 + 0.993308i
\(513\) 0.950828 2.72716i 0.0419801 0.120407i
\(514\) −7.27233 + 12.2300i −0.320769 + 0.539444i
\(515\) 1.95276 35.4995i 0.0860489 1.56430i
\(516\) −26.1133 + 27.1539i −1.14957 + 1.19538i
\(517\) −1.66030 5.10988i −0.0730200 0.224732i
\(518\) −1.83223 + 0.787683i −0.0805034 + 0.0346088i
\(519\) 2.99947 + 2.21197i 0.131662 + 0.0970947i
\(520\) 4.05541 + 1.75151i 0.177842 + 0.0768089i
\(521\) −18.7058 6.07789i −0.819517 0.266277i −0.130894 0.991396i \(-0.541785\pi\)
−0.688624 + 0.725119i \(0.741785\pi\)
\(522\) −14.7015 3.54338i −0.643468 0.155089i
\(523\) 10.1023 + 13.9046i 0.441742 + 0.608006i 0.970598 0.240706i \(-0.0773789\pi\)
−0.528856 + 0.848711i \(0.677379\pi\)
\(524\) −2.20761 + 2.32847i −0.0964401 + 0.101720i
\(525\) 8.90199 + 8.21573i 0.388515 + 0.358564i
\(526\) −16.0191 37.2620i −0.698466 1.62470i
\(527\) 60.4810 43.9420i 2.63459 1.91414i
\(528\) 2.30238 + 6.11069i 0.100198 + 0.265934i
\(529\) −1.55293 + 4.77943i −0.0675187 + 0.207801i
\(530\) −8.87805 + 13.2192i −0.385638 + 0.574205i
\(531\) −20.8446 0.296209i −0.904579 0.0128544i
\(532\) 1.06985 1.12841i 0.0463837 0.0489230i
\(533\) 5.51769 1.79281i 0.238998 0.0776551i
\(534\) −8.04869 19.0948i −0.348301 0.826312i
\(535\) 0.919384 + 3.46712i 0.0397484 + 0.149897i
\(536\) 4.04045 + 14.2889i 0.174521 + 0.617184i
\(537\) −0.274929 + 38.6963i −0.0118641 + 1.66987i
\(538\) 31.0321 + 7.01439i 1.33789 + 0.302412i
\(539\) −3.84573 + 2.79408i −0.165647 + 0.120350i
\(540\) 2.49211 + 23.1039i 0.107243 + 0.994233i
\(541\) 3.87031 + 2.81195i 0.166398 + 0.120895i 0.667868 0.744280i \(-0.267207\pi\)
−0.501470 + 0.865175i \(0.667207\pi\)
\(542\) −2.20758 2.51610i −0.0948237 0.108076i
\(543\) 7.44099 + 10.3962i 0.319324 + 0.446143i
\(544\) −30.7686 + 30.0420i −1.31919 + 1.28804i
\(545\) −7.46934 + 19.3085i −0.319951 + 0.827086i
\(546\) 1.81007 1.56550i 0.0774639 0.0669974i
\(547\) −36.7937 11.9550i −1.57318 0.511158i −0.612895 0.790165i \(-0.709995\pi\)
−0.960289 + 0.279006i \(0.909995\pi\)
\(548\) 29.9794 + 3.93292i 1.28066 + 0.168006i
\(549\) 0.0334246 0.0981047i 0.00142653 0.00418701i
\(550\) −5.46167 + 3.81947i −0.232887 + 0.162863i
\(551\) −1.98119 −0.0844016
\(552\) −16.2281 12.9630i −0.690715 0.551741i
\(553\) 3.65517 11.2494i 0.155434 0.478375i
\(554\) 19.1732 1.76619i 0.814590 0.0750381i
\(555\) 0.242160 3.89718i 0.0102791 0.165426i
\(556\) −2.68294 + 5.63152i −0.113782 + 0.238830i
\(557\) 28.8417i 1.22206i 0.791607 + 0.611030i \(0.209245\pi\)
−0.791607 + 0.611030i \(0.790755\pi\)
\(558\) 38.5614 15.9324i 1.63243 0.674473i
\(559\) −4.46479 + 6.14525i −0.188840 + 0.259916i
\(560\) −3.88610 + 11.8922i −0.164218 + 0.502538i
\(561\) −3.91870 + 11.7752i −0.165448 + 0.497150i
\(562\) −29.7822 6.73186i −1.25629 0.283966i
\(563\) −24.1794 17.5673i −1.01904 0.740375i −0.0529534 0.998597i \(-0.516863\pi\)
−0.966086 + 0.258222i \(0.916863\pi\)
\(564\) 17.4162 9.30685i 0.733354 0.391889i
\(565\) 27.2012 + 10.5226i 1.14437 + 0.442688i
\(566\) 11.8069 + 2.66879i 0.496281 + 0.112178i
\(567\) 11.8575 + 4.22886i 0.497968 + 0.177595i
\(568\) −25.5796 9.41688i −1.07330 0.395124i
\(569\) 21.5417 6.99933i 0.903076 0.293427i 0.179570 0.983745i \(-0.442529\pi\)
0.723506 + 0.690318i \(0.242529\pi\)
\(570\) 1.02662 + 2.86607i 0.0430005 + 0.120046i
\(571\) 41.8431 + 13.5957i 1.75108 + 0.568960i 0.996215 0.0869201i \(-0.0277025\pi\)
0.754865 + 0.655880i \(0.227702\pi\)
\(572\) 0.628781 + 1.15681i 0.0262906 + 0.0483686i
\(573\) 25.8304 + 8.59617i 1.07908 + 0.359110i
\(574\) 6.48958 + 15.0954i 0.270870 + 0.630069i
\(575\) 8.72241 19.3206i 0.363750 0.805724i
\(576\) −20.6227 + 12.2762i −0.859277 + 0.511510i
\(577\) −6.24552 + 4.53763i −0.260004 + 0.188904i −0.710149 0.704051i \(-0.751372\pi\)
0.450145 + 0.892956i \(0.351372\pi\)
\(578\) −57.4404 + 5.29127i −2.38921 + 0.220088i
\(579\) 25.7742 8.17255i 1.07114 0.339639i
\(580\) 14.4023 6.83183i 0.598023 0.283676i
\(581\) −0.958941 + 0.311579i −0.0397836 + 0.0129265i
\(582\) −2.16873 + 3.58891i −0.0898967 + 0.148765i
\(583\) −4.51386 + 1.46664i −0.186945 + 0.0607421i
\(584\) −14.8593 22.2055i −0.614881 0.918870i
\(585\) 1.13647 + 4.54553i 0.0469874 + 0.187935i
\(586\) −0.769583 + 1.29423i −0.0317912 + 0.0534640i
\(587\) −22.8476 16.5998i −0.943023 0.685146i 0.00612359 0.999981i \(-0.498051\pi\)
−0.949146 + 0.314835i \(0.898051\pi\)
\(588\) −12.5927 12.1102i −0.519315 0.499414i
\(589\) 4.42219 3.21291i 0.182213 0.132386i
\(590\) 17.2890 13.5634i 0.711775 0.558395i
\(591\) 9.76453 + 0.0693751i 0.401659 + 0.00285371i
\(592\) 3.76357 1.44865i 0.154682 0.0595391i
\(593\) 14.0680i 0.577705i 0.957374 + 0.288853i \(0.0932738\pi\)
−0.957374 + 0.288853i \(0.906726\pi\)
\(594\) −3.66601 + 5.87640i −0.150418 + 0.241112i
\(595\) −19.9745 + 12.8981i −0.818873 + 0.528769i
\(596\) −6.45646 + 3.50940i −0.264467 + 0.143751i
\(597\) −6.21146 19.5894i −0.254218 0.801740i
\(598\) −3.59954 2.14039i −0.147196 0.0875270i
\(599\) 14.8841 0.608148 0.304074 0.952648i \(-0.401653\pi\)
0.304074 + 0.952648i \(0.401653\pi\)
\(600\) −17.3462 17.2948i −0.708156 0.706056i
\(601\) −5.43937 −0.221876 −0.110938 0.993827i \(-0.535386\pi\)
−0.110938 + 0.993827i \(0.535386\pi\)
\(602\) −18.4909 10.9952i −0.753634 0.448132i
\(603\) −9.43766 + 12.6091i −0.384331 + 0.513482i
\(604\) 0.367500 0.199754i 0.0149534 0.00812787i
\(605\) 22.5762 + 1.24187i 0.917852 + 0.0504893i
\(606\) −6.15188 + 26.3445i −0.249903 + 1.07017i
\(607\) 21.7794i 0.883999i −0.897015 0.441999i \(-0.854269\pi\)
0.897015 0.441999i \(-0.145731\pi\)
\(608\) −2.24971 + 2.19659i −0.0912377 + 0.0890833i
\(609\) 0.0613534 8.63547i 0.00248616 0.349927i
\(610\) 0.0375704 + 0.102585i 0.00152118 + 0.00415356i
\(611\) 3.22115 2.34031i 0.130314 0.0946786i
\(612\) −45.1349 6.57476i −1.82447 0.265769i
\(613\) 28.0560 + 20.3839i 1.13317 + 0.823298i 0.986153 0.165836i \(-0.0530322\pi\)
0.147019 + 0.989134i \(0.453032\pi\)
\(614\) −13.9891 + 23.5258i −0.564554 + 0.949424i
\(615\) −32.1081 1.99511i −1.29472 0.0804505i
\(616\) −3.09911 + 2.07384i −0.124867 + 0.0835572i
\(617\) −19.7403 + 6.41403i −0.794716 + 0.258219i −0.678111 0.734959i \(-0.737201\pi\)
−0.116605 + 0.993178i \(0.537201\pi\)
\(618\) 33.3332 + 20.1428i 1.34086 + 0.810262i
\(619\) 44.4008 14.4267i 1.78462 0.579857i 0.785384 0.619009i \(-0.212466\pi\)
0.999233 + 0.0391518i \(0.0124656\pi\)
\(620\) −21.0680 + 38.6055i −0.846110 + 1.55044i
\(621\) 0.469510 22.0249i 0.0188408 0.883827i
\(622\) 33.2964 3.06719i 1.33506 0.122983i
\(623\) 9.57322 6.95535i 0.383543 0.278660i
\(624\) −3.77948 + 3.02201i −0.151300 + 0.120977i
\(625\) 12.7239 21.5198i 0.508955 0.860793i
\(626\) 5.90846 + 13.7437i 0.236150 + 0.549307i
\(627\) −0.286524 + 0.860968i −0.0114427 + 0.0343838i
\(628\) −18.1053 33.3095i −0.722481 1.32919i
\(629\) 7.28900 + 2.36834i 0.290631 + 0.0944319i
\(630\) −12.5242 + 4.38601i −0.498976 + 0.174743i
\(631\) −2.95970 + 0.961663i −0.117824 + 0.0382832i −0.367335 0.930089i \(-0.619730\pi\)
0.249512 + 0.968372i \(0.419730\pi\)
\(632\) −8.26296 + 22.4451i −0.328683 + 0.892819i
\(633\) 22.1008 + 16.2983i 0.878427 + 0.647800i
\(634\) −13.2011 2.98393i −0.524283 0.118507i
\(635\) 28.9458 35.5562i 1.14868 1.41101i
\(636\) −8.22129 15.3847i −0.325995 0.610045i
\(637\) −2.84989 2.07056i −0.112917 0.0820387i
\(638\) 4.63423 + 1.04751i 0.183471 + 0.0414712i
\(639\) −8.54251 27.6205i −0.337936 1.09265i
\(640\) 8.77970 23.7259i 0.347048 0.937847i
\(641\) −3.03282 + 4.17432i −0.119789 + 0.164876i −0.864701 0.502288i \(-0.832492\pi\)
0.744911 + 0.667164i \(0.232492\pi\)
\(642\) −3.82636 0.893519i −0.151015 0.0352644i
\(643\) 14.3133i 0.564461i −0.959347 0.282231i \(-0.908926\pi\)
0.959347 0.282231i \(-0.0910744\pi\)
\(644\) 5.10125 10.7076i 0.201017 0.421938i
\(645\) 35.5451 22.5963i 1.39959 0.889727i
\(646\) −5.95031 + 0.548129i −0.234112 + 0.0215658i
\(647\) −7.65518 + 23.5602i −0.300956 + 0.926248i 0.680199 + 0.733027i \(0.261893\pi\)
−0.981155 + 0.193221i \(0.938107\pi\)
\(648\) −23.6290 9.46956i −0.928233 0.371999i
\(649\) 6.54956 0.257093
\(650\) −3.94261 2.97464i −0.154642 0.116675i
\(651\) 13.8673 + 19.3746i 0.543500 + 0.759351i
\(652\) 36.2376 + 4.75391i 1.41917 + 0.186178i
\(653\) −24.3114 7.89926i −0.951379 0.309122i −0.208103 0.978107i \(-0.566729\pi\)
−0.743276 + 0.668985i \(0.766729\pi\)
\(654\) −14.8356 17.1533i −0.580119 0.670747i
\(655\) 3.01367 1.94601i 0.117754 0.0760369i
\(656\) −11.9352 31.0074i −0.465990 1.21063i
\(657\) 9.13941 26.8251i 0.356562 1.04655i
\(658\) 7.43703 + 8.47639i 0.289925 + 0.330444i
\(659\) 8.99520 + 6.53539i 0.350403 + 0.254583i 0.749038 0.662527i \(-0.230516\pi\)
−0.398635 + 0.917110i \(0.630516\pi\)
\(660\) −0.886023 7.24685i −0.0344884 0.282083i
\(661\) −25.0024 + 18.1653i −0.972481 + 0.706549i −0.956016 0.293316i \(-0.905241\pi\)
−0.0164651 + 0.999864i \(0.505241\pi\)
\(662\) 39.1067 + 8.83954i 1.51992 + 0.343558i
\(663\) −9.19634 0.0653382i −0.357156 0.00253753i
\(664\) 1.96190 0.554767i 0.0761367 0.0215291i
\(665\) −1.46047 + 0.943068i −0.0566348 + 0.0365706i
\(666\) 3.64507 + 2.23817i 0.141244 + 0.0867273i
\(667\) −14.3722 + 4.66981i −0.556494 + 0.180816i
\(668\) 7.73438 8.15781i 0.299252 0.315635i
\(669\) 22.2017 + 16.3727i 0.858367 + 0.633006i
\(670\) −0.612562 16.5905i −0.0236653 0.640948i
\(671\) −0.0100622 + 0.0309684i −0.000388448 + 0.00119552i
\(672\) −9.50465 9.87389i −0.366650 0.380893i
\(673\) −16.9582 + 12.3208i −0.653690 + 0.474934i −0.864526 0.502588i \(-0.832381\pi\)
0.210836 + 0.977521i \(0.432381\pi\)
\(674\) −8.48060 19.7267i −0.326661 0.759844i
\(675\) 3.39941 25.7574i 0.130843 0.991403i
\(676\) 17.2173 18.1599i 0.662203 0.698456i
\(677\) 15.9790 + 21.9932i 0.614122 + 0.845267i 0.996909 0.0785701i \(-0.0250354\pi\)
−0.382786 + 0.923837i \(0.625035\pi\)
\(678\) −24.1651 + 20.9000i −0.928053 + 0.802659i
\(679\) −2.27737 0.739964i −0.0873976 0.0283972i
\(680\) 41.3657 24.5033i 1.58630 0.939660i
\(681\) −17.1534 + 23.2603i −0.657321 + 0.891338i
\(682\) −12.0428 + 5.17724i −0.461141 + 0.198247i
\(683\) −12.3150 37.9016i −0.471219 1.45026i −0.850990 0.525183i \(-0.823997\pi\)
0.379771 0.925081i \(-0.376003\pi\)
\(684\) −3.30013 0.480727i −0.126184 0.0183811i
\(685\) −31.5284 12.1965i −1.20464 0.466004i
\(686\) 12.1763 20.4772i 0.464895 0.781825i
\(687\) 0.0976799 13.7484i 0.00372672 0.524535i
\(688\) 36.5045 + 23.6588i 1.39172 + 0.901985i
\(689\) −2.06733 2.84544i −0.0787590 0.108402i
\(690\) 14.2030 + 18.3716i 0.540698 + 0.699393i
\(691\) −23.0072 + 31.6667i −0.875237 + 1.20466i 0.102481 + 0.994735i \(0.467322\pi\)
−0.977718 + 0.209925i \(0.932678\pi\)
\(692\) 1.85090 3.88506i 0.0703606 0.147688i
\(693\) −3.74385 1.27554i −0.142217 0.0484538i
\(694\) 17.7532 15.5763i 0.673901 0.591268i
\(695\) 4.40308 5.40861i 0.167018 0.205160i
\(696\) −0.797538 + 17.4437i −0.0302306 + 0.661203i
\(697\) 19.5123 60.0527i 0.739082 2.27466i
\(698\) 0.910730 + 0.541546i 0.0344716 + 0.0204978i
\(699\) −5.28494 + 3.78266i −0.199895 + 0.143073i
\(700\) 7.36491 11.8919i 0.278368 0.449470i
\(701\) 17.6599i 0.667007i 0.942749 + 0.333503i \(0.108231\pi\)
−0.942749 + 0.333503i \(0.891769\pi\)
\(702\) −4.98110 1.23806i −0.187999 0.0467275i
\(703\) 0.532950 + 0.173166i 0.0201006 + 0.00653108i
\(704\) 6.42371 3.94858i 0.242103 0.148818i
\(705\) −21.3799 + 5.50707i −0.805212 + 0.207408i
\(706\) −15.6996 17.8937i −0.590864 0.673440i
\(707\) −15.4488 −0.581010
\(708\) 4.22929 + 23.6973i 0.158946 + 0.890598i
\(709\) 13.3990 + 9.73494i 0.503210 + 0.365603i 0.810242 0.586096i \(-0.199336\pi\)
−0.307032 + 0.951699i \(0.599336\pi\)
\(710\) 25.2992 + 16.9910i 0.949460 + 0.637661i
\(711\) −24.2360 + 7.49573i −0.908919 + 0.281112i
\(712\) −19.8858 + 13.3070i −0.745253 + 0.498702i
\(713\) 24.5069 33.7309i 0.917792 1.26323i
\(714\) −2.20487 25.9528i −0.0825154 0.971258i
\(715\) −0.377309 1.42288i −0.0141106 0.0532129i
\(716\) 43.9318 8.16305i 1.64181 0.305067i
\(717\) 12.9823 17.6042i 0.484833 0.657442i
\(718\) −13.3179 30.9786i −0.497018 1.15611i
\(719\) 0.598196 + 1.84106i 0.0223090 + 0.0686599i 0.961591 0.274486i \(-0.0885076\pi\)
−0.939282 + 0.343146i \(0.888508\pi\)
\(720\) 25.6480 7.88532i 0.955846 0.293868i
\(721\) −6.87266 + 21.1519i −0.255951 + 0.787737i
\(722\) 26.3217 2.42469i 0.979592 0.0902377i
\(723\) −24.7482 8.23601i −0.920394 0.306300i
\(724\) 10.1569 10.7130i 0.377480 0.398145i
\(725\) −17.4516 + 3.61496i −0.648135 + 0.134256i
\(726\) −12.8099 + 21.1985i −0.475422 + 0.786750i
\(727\) −8.63327 11.8827i −0.320190 0.440704i 0.618335 0.785915i \(-0.287807\pi\)
−0.938525 + 0.345211i \(0.887807\pi\)
\(728\) −2.17129 1.70930i −0.0804735 0.0633508i
\(729\) −7.24158 26.0108i −0.268207 0.963361i
\(730\) 10.2730 + 28.0503i 0.380221 + 1.03819i
\(731\) 25.5470 + 78.6256i 0.944890 + 2.90807i
\(732\) −0.118546 0.0164092i −0.00438157 0.000606502i
\(733\) −2.97772 9.16449i −0.109985 0.338498i 0.880883 0.473334i \(-0.156949\pi\)
−0.990868 + 0.134835i \(0.956949\pi\)
\(734\) 18.6316 + 4.21142i 0.687704 + 0.155446i
\(735\) 10.4791 + 16.4842i 0.386528 + 0.608029i
\(736\) −11.1426 + 21.2375i −0.410722 + 0.782823i
\(737\) 2.90851 4.00322i 0.107136 0.147460i
\(738\) 18.4399 30.0311i 0.678781 1.10546i
\(739\) 21.2180 + 29.2041i 0.780517 + 1.07429i 0.995225 + 0.0976107i \(0.0311200\pi\)
−0.214708 + 0.976678i \(0.568880\pi\)
\(740\) −4.47142 + 0.578962i −0.164373 + 0.0212831i
\(741\) −0.672410 0.00477734i −0.0247016 0.000175500i
\(742\) 7.48770 6.56957i 0.274882 0.241176i
\(743\) −0.164358 −0.00602970 −0.00301485 0.999995i \(-0.500960\pi\)
−0.00301485 + 0.999995i \(0.500960\pi\)
\(744\) −26.5084 40.2293i −0.971846 1.47488i
\(745\) 7.94151 2.10587i 0.290954 0.0771530i
\(746\) −9.09843 + 0.838126i −0.333117 + 0.0306860i
\(747\) 1.73127 + 1.29582i 0.0633438 + 0.0474116i
\(748\) 14.2083 + 1.86395i 0.519506 + 0.0681526i
\(749\) 2.24383i 0.0819876i
\(750\) 14.2727 + 23.3729i 0.521164 + 0.853457i
\(751\) 21.6627i 0.790482i 0.918577 + 0.395241i \(0.129339\pi\)
−0.918577 + 0.395241i \(0.870661\pi\)
\(752\) −14.3658 17.7072i −0.523868 0.645715i
\(753\) −32.5565 + 10.3231i −1.18642 + 0.376195i
\(754\) 0.322965 + 3.50600i 0.0117617 + 0.127681i
\(755\) −0.452028 + 0.119865i −0.0164510 + 0.00436235i
\(756\) 2.19756 14.3695i 0.0799244 0.522613i
\(757\) 26.5552 0.965166 0.482583 0.875850i \(-0.339699\pi\)
0.482583 + 0.875850i \(0.339699\pi\)
\(758\) −7.63447 8.70144i −0.277297 0.316050i
\(759\) −0.0491731 + 6.92110i −0.00178487 + 0.251220i
\(760\) 3.02454 1.79161i 0.109712 0.0649886i
\(761\) −5.50063 7.57096i −0.199398 0.274447i 0.697595 0.716492i \(-0.254253\pi\)
−0.896993 + 0.442045i \(0.854253\pi\)
\(762\) 19.5082 + 46.2813i 0.706706 + 1.67660i
\(763\) 7.61226 10.4774i 0.275582 0.379307i
\(764\) 4.08880 31.1676i 0.147927 1.12760i
\(765\) 47.2941 + 19.0722i 1.70992 + 0.689558i
\(766\) −3.04818 + 13.4853i −0.110135 + 0.487245i
\(767\) 1.49984 + 4.61602i 0.0541559 + 0.166675i
\(768\) 18.4346 + 20.6922i 0.665201 + 0.746665i
\(769\) −0.711265 2.18905i −0.0256489 0.0789392i 0.937413 0.348220i \(-0.113214\pi\)
−0.963062 + 0.269281i \(0.913214\pi\)
\(770\) 3.91484 1.43375i 0.141081 0.0516689i
\(771\) 5.26727 + 16.6117i 0.189696 + 0.598254i
\(772\) −14.9103 27.4314i −0.536632 0.987277i
\(773\) −23.3428 32.1286i −0.839582 1.15559i −0.986063 0.166372i \(-0.946795\pi\)
0.146481 0.989214i \(-0.453205\pi\)
\(774\) 3.57909 +