Properties

Label 62.2.g.a.45.1
Level 62
Weight 2
Character 62.45
Analytic conductor 0.495
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 62 = 2 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 62.g (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.495072492532\)
Analytic rank: \(0\)
Dimension: \(8\)
Coefficient field: \(\Q(\zeta_{15})\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 45.1
Root \(-0.978148 + 0.207912i\)
Character \(\chi\) = 62.45
Dual form 62.2.g.a.51.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 - 0.951057i) q^{2} +(-0.413545 + 0.459289i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(1.78716 - 3.09546i) q^{5} +(0.309017 + 0.535233i) q^{6} +(-0.309017 + 2.94010i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(0.273659 + 2.60369i) q^{9} +O(q^{10})\) \(q+(0.309017 - 0.951057i) q^{2} +(-0.413545 + 0.459289i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(1.78716 - 3.09546i) q^{5} +(0.309017 + 0.535233i) q^{6} +(-0.309017 + 2.94010i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(0.273659 + 2.60369i) q^{9} +(-2.39169 - 2.65624i) q^{10} +(-2.16913 + 0.965759i) q^{11} +(0.604528 - 0.128496i) q^{12} +(-5.53062 - 1.17557i) q^{13} +(2.70071 + 1.20243i) q^{14} +(0.682636 + 2.10094i) q^{15} +(0.309017 + 0.951057i) q^{16} +(2.83399 + 1.26178i) q^{17} +(2.56082 + 0.544320i) q^{18} +(4.92610 - 1.04707i) q^{19} +(-3.26531 + 1.45381i) q^{20} +(-1.22256 - 1.35779i) q^{21} +(0.248193 + 2.36140i) q^{22} +(1.13377 - 0.823734i) q^{23} +(0.0646021 - 0.614648i) q^{24} +(-3.88791 - 6.73407i) q^{25} +(-2.82709 + 4.89667i) q^{26} +(-2.80902 - 2.04087i) q^{27} +(1.97815 - 2.19696i) q^{28} +(1.07120 - 3.29683i) q^{29} +2.20906 q^{30} +(-4.84421 - 2.74475i) q^{31} +1.00000 q^{32} +(0.453472 - 1.39564i) q^{33} +(2.07577 - 2.30538i) q^{34} +(8.54870 + 6.21099i) q^{35} +(1.30902 - 2.26728i) q^{36} +(-0.0938464 - 0.162547i) q^{37} +(0.526421 - 5.00856i) q^{38} +(2.82709 - 2.05400i) q^{39} +(0.373619 + 3.55475i) q^{40} +(1.60814 + 1.78602i) q^{41} +(-1.66913 + 0.743145i) q^{42} +(-11.0314 + 2.34480i) q^{43} +(2.32252 + 0.493667i) q^{44} +(8.54870 + 3.80613i) q^{45} +(-0.433063 - 1.33283i) q^{46} +(-0.00456840 - 0.0140601i) q^{47} +(-0.564602 - 0.251377i) q^{48} +(-1.70167 - 0.361700i) q^{49} +(-7.60591 + 1.61669i) q^{50} +(-1.75150 + 0.779820i) q^{51} +(3.78339 + 4.20188i) q^{52} +(-0.425506 - 4.04842i) q^{53} +(-2.80902 + 2.04087i) q^{54} +(-0.887125 + 8.44043i) q^{55} +(-1.47815 - 2.56023i) q^{56} +(-1.55626 + 2.69551i) q^{57} +(-2.80445 - 2.03755i) q^{58} +(5.00867 - 5.56269i) q^{59} +(0.682636 - 2.10094i) q^{60} +13.3669 q^{61} +(-4.10735 + 3.75894i) q^{62} -7.73968 q^{63} +(0.309017 - 0.951057i) q^{64} +(-13.5231 + 15.0189i) q^{65} +(-1.18720 - 0.862555i) q^{66} +(-1.40977 + 2.44179i) q^{67} +(-1.55110 - 2.68658i) q^{68} +(-0.0905347 + 0.861381i) q^{69} +(8.54870 - 6.21099i) q^{70} +(-0.911312 - 8.67056i) q^{71} +(-1.75181 - 1.94558i) q^{72} +(-7.19003 + 3.20121i) q^{73} +(-0.183591 + 0.0390235i) q^{74} +(4.70071 + 0.999167i) q^{75} +(-4.60075 - 2.04839i) q^{76} +(-2.16913 - 6.67590i) q^{77} +(-1.07985 - 3.32344i) q^{78} +(6.18024 + 2.75162i) q^{79} +(3.49622 + 0.743145i) q^{80} +(-5.58347 + 1.18680i) q^{81} +(2.19555 - 0.977522i) q^{82} +(10.3053 + 11.4452i) q^{83} +(0.190983 + 1.81708i) q^{84} +(8.97059 - 6.51752i) q^{85} +(-1.17886 + 11.2161i) q^{86} +(1.07120 + 1.85538i) q^{87} +(1.18720 - 2.05630i) q^{88} +(1.34437 + 0.976746i) q^{89} +(6.26153 - 6.95414i) q^{90} +(5.16535 - 15.8973i) q^{91} -1.40142 q^{92} +(3.26393 - 1.08981i) q^{93} -0.0147836 q^{94} +(5.56257 - 17.1198i) q^{95} +(-0.413545 + 0.459289i) q^{96} +(5.76515 + 4.18862i) q^{97} +(-0.869841 + 1.50661i) q^{98} +(-3.10814 - 5.38346i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 2q^{2} + 3q^{3} - 2q^{4} + q^{5} - 2q^{6} + 2q^{7} - 2q^{8} - 4q^{9} + O(q^{10}) \) \( 8q - 2q^{2} + 3q^{3} - 2q^{4} + q^{5} - 2q^{6} + 2q^{7} - 2q^{8} - 4q^{9} - 4q^{10} - 13q^{11} + 3q^{12} + 2q^{14} - 6q^{15} - 2q^{16} - 2q^{17} + q^{18} - 3q^{19} - 4q^{20} + q^{21} + 17q^{22} + 3q^{23} - 2q^{24} + q^{25} - 10q^{26} - 18q^{27} + 7q^{28} + 11q^{29} + 14q^{30} + 11q^{31} + 8q^{32} - 2q^{33} + 18q^{34} + 16q^{35} + 6q^{36} + 6q^{37} + 12q^{38} + 10q^{39} - 4q^{40} - 19q^{41} - 9q^{42} - 26q^{43} + 7q^{44} + 16q^{45} - 17q^{46} + q^{47} - 2q^{48} - 23q^{49} - 19q^{50} - 16q^{51} + 17q^{53} - 18q^{54} + 7q^{55} - 3q^{56} + 6q^{57} - 19q^{58} + 8q^{59} - 6q^{60} + 48q^{61} - 19q^{62} - 14q^{63} - 2q^{64} - 30q^{65} + 3q^{66} + 12q^{67} - 17q^{68} - 7q^{69} + 16q^{70} + 9q^{71} + q^{72} - 33q^{73} - 19q^{74} + 18q^{75} - 18q^{76} - 13q^{77} - 10q^{78} - 19q^{79} + 11q^{80} - 16q^{81} + 21q^{82} + 40q^{83} + 6q^{84} + 29q^{85} + 19q^{86} + 11q^{87} - 3q^{88} + 8q^{89} + 11q^{90} + 20q^{91} + 28q^{92} + 44q^{93} + 26q^{94} + 36q^{95} + 3q^{96} - 23q^{97} + 17q^{98} + 7q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{11}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 0.951057i 0.218508 0.672499i
\(3\) −0.413545 + 0.459289i −0.238761 + 0.265170i −0.850602 0.525810i \(-0.823762\pi\)
0.611842 + 0.790980i \(0.290429\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) 1.78716 3.09546i 0.799244 1.38433i −0.120865 0.992669i \(-0.538567\pi\)
0.920109 0.391663i \(-0.128100\pi\)
\(6\) 0.309017 + 0.535233i 0.126156 + 0.218508i
\(7\) −0.309017 + 2.94010i −0.116797 + 1.11125i 0.766436 + 0.642320i \(0.222028\pi\)
−0.883234 + 0.468933i \(0.844639\pi\)
\(8\) −0.809017 + 0.587785i −0.286031 + 0.207813i
\(9\) 0.273659 + 2.60369i 0.0912197 + 0.867897i
\(10\) −2.39169 2.65624i −0.756320 0.839978i
\(11\) −2.16913 + 0.965759i −0.654017 + 0.291187i −0.706794 0.707419i \(-0.749859\pi\)
0.0527770 + 0.998606i \(0.483193\pi\)
\(12\) 0.604528 0.128496i 0.174512 0.0370937i
\(13\) −5.53062 1.17557i −1.53392 0.326045i −0.637921 0.770102i \(-0.720205\pi\)
−0.895998 + 0.444057i \(0.853539\pi\)
\(14\) 2.70071 + 1.20243i 0.721795 + 0.321364i
\(15\) 0.682636 + 2.10094i 0.176256 + 0.542460i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 2.83399 + 1.26178i 0.687345 + 0.306026i 0.720530 0.693424i \(-0.243899\pi\)
−0.0331855 + 0.999449i \(0.510565\pi\)
\(18\) 2.56082 + 0.544320i 0.603592 + 0.128297i
\(19\) 4.92610 1.04707i 1.13012 0.240215i 0.395352 0.918530i \(-0.370623\pi\)
0.734772 + 0.678314i \(0.237289\pi\)
\(20\) −3.26531 + 1.45381i −0.730146 + 0.325082i
\(21\) −1.22256 1.35779i −0.266785 0.296295i
\(22\) 0.248193 + 2.36140i 0.0529150 + 0.503453i
\(23\) 1.13377 0.823734i 0.236408 0.171760i −0.463274 0.886215i \(-0.653325\pi\)
0.699681 + 0.714455i \(0.253325\pi\)
\(24\) 0.0646021 0.614648i 0.0131869 0.125465i
\(25\) −3.88791 6.73407i −0.777583 1.34681i
\(26\) −2.82709 + 4.89667i −0.554438 + 0.960315i
\(27\) −2.80902 2.04087i −0.540596 0.392766i
\(28\) 1.97815 2.19696i 0.373835 0.415186i
\(29\) 1.07120 3.29683i 0.198918 0.612205i −0.800991 0.598677i \(-0.795693\pi\)
0.999908 0.0135289i \(-0.00430650\pi\)
\(30\) 2.20906 0.403317
\(31\) −4.84421 2.74475i −0.870046 0.492971i
\(32\) 1.00000 0.176777
\(33\) 0.453472 1.39564i 0.0789393 0.242950i
\(34\) 2.07577 2.30538i 0.355992 0.395369i
\(35\) 8.54870 + 6.21099i 1.44499 + 1.04985i
\(36\) 1.30902 2.26728i 0.218169 0.377881i
\(37\) −0.0938464 0.162547i −0.0154282 0.0267225i 0.858208 0.513302i \(-0.171578\pi\)
−0.873636 + 0.486579i \(0.838244\pi\)
\(38\) 0.526421 5.00856i 0.0853967 0.812496i
\(39\) 2.82709 2.05400i 0.452697 0.328904i
\(40\) 0.373619 + 3.55475i 0.0590744 + 0.562055i
\(41\) 1.60814 + 1.78602i 0.251150 + 0.278930i 0.855516 0.517777i \(-0.173240\pi\)
−0.604366 + 0.796707i \(0.706574\pi\)
\(42\) −1.66913 + 0.743145i −0.257552 + 0.114670i
\(43\) −11.0314 + 2.34480i −1.68227 + 0.357579i −0.947258 0.320471i \(-0.896159\pi\)
−0.735016 + 0.678049i \(0.762826\pi\)
\(44\) 2.32252 + 0.493667i 0.350133 + 0.0744232i
\(45\) 8.54870 + 3.80613i 1.27436 + 0.567384i
\(46\) −0.433063 1.33283i −0.0638516 0.196515i
\(47\) −0.00456840 0.0140601i −0.000666369 0.00205087i 0.950723 0.310042i \(-0.100343\pi\)
−0.951389 + 0.307991i \(0.900343\pi\)
\(48\) −0.564602 0.251377i −0.0814933 0.0362832i
\(49\) −1.70167 0.361700i −0.243095 0.0516714i
\(50\) −7.60591 + 1.61669i −1.07564 + 0.228634i
\(51\) −1.75150 + 0.779820i −0.245260 + 0.109197i
\(52\) 3.78339 + 4.20188i 0.524661 + 0.582695i
\(53\) −0.425506 4.04842i −0.0584477 0.556093i −0.984087 0.177686i \(-0.943139\pi\)
0.925640 0.378407i \(-0.123528\pi\)
\(54\) −2.80902 + 2.04087i −0.382259 + 0.277727i
\(55\) −0.887125 + 8.44043i −0.119620 + 1.13811i
\(56\) −1.47815 2.56023i −0.197526 0.342125i
\(57\) −1.55626 + 2.69551i −0.206131 + 0.357029i
\(58\) −2.80445 2.03755i −0.368242 0.267544i
\(59\) 5.00867 5.56269i 0.652073 0.724201i −0.322922 0.946426i \(-0.604665\pi\)
0.974995 + 0.222225i \(0.0713319\pi\)
\(60\) 0.682636 2.10094i 0.0881279 0.271230i
\(61\) 13.3669 1.71145 0.855725 0.517431i \(-0.173112\pi\)
0.855725 + 0.517431i \(0.173112\pi\)
\(62\) −4.10735 + 3.75894i −0.521634 + 0.477386i
\(63\) −7.73968 −0.975108
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) −13.5231 + 15.0189i −1.67733 + 1.86286i
\(66\) −1.18720 0.862555i −0.146135 0.106173i
\(67\) −1.40977 + 2.44179i −0.172230 + 0.298312i −0.939199 0.343372i \(-0.888431\pi\)
0.766969 + 0.641684i \(0.221764\pi\)
\(68\) −1.55110 2.68658i −0.188098 0.325795i
\(69\) −0.0905347 + 0.861381i −0.0108991 + 0.103698i
\(70\) 8.54870 6.21099i 1.02176 0.742356i
\(71\) −0.911312 8.67056i −0.108153 1.02901i −0.905170 0.425049i \(-0.860257\pi\)
0.797017 0.603956i \(-0.206410\pi\)
\(72\) −1.75181 1.94558i −0.206452 0.229289i
\(73\) −7.19003 + 3.20121i −0.841529 + 0.374673i −0.781791 0.623541i \(-0.785693\pi\)
−0.0597386 + 0.998214i \(0.519027\pi\)
\(74\) −0.183591 + 0.0390235i −0.0213420 + 0.00453639i
\(75\) 4.70071 + 0.999167i 0.542791 + 0.115374i
\(76\) −4.60075 2.04839i −0.527742 0.234966i
\(77\) −2.16913 6.67590i −0.247195 0.760789i
\(78\) −1.07985 3.32344i −0.122269 0.376306i
\(79\) 6.18024 + 2.75162i 0.695331 + 0.309581i 0.723797 0.690013i \(-0.242395\pi\)
−0.0284655 + 0.999595i \(0.509062\pi\)
\(80\) 3.49622 + 0.743145i 0.390889 + 0.0830861i
\(81\) −5.58347 + 1.18680i −0.620385 + 0.131867i
\(82\) 2.19555 0.977522i 0.242458 0.107949i
\(83\) 10.3053 + 11.4452i 1.13116 + 1.25628i 0.962700 + 0.270569i \(0.0872120\pi\)
0.168458 + 0.985709i \(0.446121\pi\)
\(84\) 0.190983 + 1.81708i 0.0208380 + 0.198260i
\(85\) 8.97059 6.51752i 0.972997 0.706924i
\(86\) −1.17886 + 11.2161i −0.127119 + 1.20946i
\(87\) 1.07120 + 1.85538i 0.114845 + 0.198918i
\(88\) 1.18720 2.05630i 0.126556 0.219202i
\(89\) 1.34437 + 0.976746i 0.142503 + 0.103535i 0.656753 0.754106i \(-0.271929\pi\)
−0.514249 + 0.857641i \(0.671929\pi\)
\(90\) 6.26153 6.95414i 0.660024 0.733030i
\(91\) 5.16535 15.8973i 0.541476 1.66649i
\(92\) −1.40142 −0.146108
\(93\) 3.26393 1.08981i 0.338454 0.113008i
\(94\) −0.0147836 −0.00152482
\(95\) 5.56257 17.1198i 0.570708 1.75646i
\(96\) −0.413545 + 0.459289i −0.0422073 + 0.0468760i
\(97\) 5.76515 + 4.18862i 0.585362 + 0.425290i 0.840653 0.541574i \(-0.182171\pi\)
−0.255291 + 0.966864i \(0.582171\pi\)
\(98\) −0.869841 + 1.50661i −0.0878672 + 0.152190i
\(99\) −3.10814 5.38346i −0.312380 0.541058i
\(100\) −0.812795 + 7.73323i −0.0812795 + 0.773323i
\(101\) −1.00739 + 0.731913i −0.100239 + 0.0728281i −0.636776 0.771049i \(-0.719732\pi\)
0.536537 + 0.843877i \(0.319732\pi\)
\(102\) 0.200408 + 1.90676i 0.0198434 + 0.188797i
\(103\) −2.45695 2.72872i −0.242090 0.268869i 0.609839 0.792525i \(-0.291234\pi\)
−0.851929 + 0.523657i \(0.824567\pi\)
\(104\) 5.16535 2.29976i 0.506504 0.225510i
\(105\) −6.38791 + 1.35779i −0.623397 + 0.132507i
\(106\) −3.98176 0.846349i −0.386743 0.0822047i
\(107\) −16.6712 7.42251i −1.61167 0.717561i −0.614233 0.789124i \(-0.710535\pi\)
−0.997436 + 0.0715631i \(0.977201\pi\)
\(108\) 1.07295 + 3.30220i 0.103245 + 0.317754i
\(109\) 6.20780 + 19.1056i 0.594599 + 1.82999i 0.556710 + 0.830707i \(0.312063\pi\)
0.0378894 + 0.999282i \(0.487937\pi\)
\(110\) 7.75319 + 3.45194i 0.739237 + 0.329130i
\(111\) 0.113466 + 0.0241179i 0.0107697 + 0.00228917i
\(112\) −2.89169 + 0.614648i −0.273239 + 0.0580788i
\(113\) −7.48038 + 3.33048i −0.703695 + 0.313305i −0.727207 0.686418i \(-0.759182\pi\)
0.0235119 + 0.999724i \(0.492515\pi\)
\(114\) 2.08268 + 2.31305i 0.195060 + 0.216637i
\(115\) −0.523597 4.98170i −0.0488257 0.464546i
\(116\) −2.80445 + 2.03755i −0.260387 + 0.189182i
\(117\) 1.54732 14.7217i 0.143050 1.36103i
\(118\) −3.74267 6.48249i −0.344541 0.596762i
\(119\) −4.58550 + 7.94232i −0.420352 + 0.728071i
\(120\) −1.78716 1.29845i −0.163145 0.118532i
\(121\) −3.58800 + 3.98488i −0.326182 + 0.362262i
\(122\) 4.13058 12.7126i 0.373966 1.15095i
\(123\) −1.48534 −0.133929
\(124\) 2.30573 + 5.06790i 0.207060 + 0.455111i
\(125\) −9.92173 −0.887426
\(126\) −2.39169 + 7.36087i −0.213069 + 0.655759i
\(127\) −1.28170 + 1.42348i −0.113733 + 0.126313i −0.797323 0.603553i \(-0.793751\pi\)
0.683590 + 0.729866i \(0.260418\pi\)
\(128\) −0.809017 0.587785i −0.0715077 0.0519534i
\(129\) 3.48505 6.03629i 0.306842 0.531465i
\(130\) 10.1050 + 17.5023i 0.886263 + 1.53505i
\(131\) 0.920835 8.76116i 0.0804537 0.765466i −0.877700 0.479211i \(-0.840923\pi\)
0.958153 0.286255i \(-0.0924105\pi\)
\(132\) −1.18720 + 0.862555i −0.103333 + 0.0750757i
\(133\) 1.55626 + 14.8068i 0.134944 + 1.28391i
\(134\) 1.88664 + 2.09532i 0.162981 + 0.181008i
\(135\) −11.3376 + 5.04783i −0.975786 + 0.434448i
\(136\) −3.03440 + 0.644982i −0.260198 + 0.0553068i
\(137\) 11.4478 + 2.43330i 0.978050 + 0.207891i 0.669088 0.743183i \(-0.266685\pi\)
0.308962 + 0.951074i \(0.400018\pi\)
\(138\) 0.791245 + 0.352285i 0.0673552 + 0.0299885i
\(139\) 2.72461 + 8.38548i 0.231098 + 0.711248i 0.997615 + 0.0690232i \(0.0219882\pi\)
−0.766517 + 0.642224i \(0.778012\pi\)
\(140\) −3.26531 10.0496i −0.275969 0.849346i
\(141\) 0.00834687 + 0.00371627i 0.000702934 + 0.000312966i
\(142\) −8.52780 1.81264i −0.715637 0.152113i
\(143\) 13.1320 2.79129i 1.09815 0.233419i
\(144\) −2.39169 + 1.06485i −0.199308 + 0.0887375i
\(145\) −8.29078 9.20784i −0.688512 0.764670i
\(146\) 0.822688 + 7.82735i 0.0680861 + 0.647796i
\(147\) 0.869841 0.631976i 0.0717432 0.0521245i
\(148\) −0.0196192 + 0.186665i −0.00161269 + 0.0153437i
\(149\) −3.73501 6.46923i −0.305984 0.529980i 0.671496 0.741008i \(-0.265652\pi\)
−0.977480 + 0.211028i \(0.932319\pi\)
\(150\) 2.40286 4.16188i 0.196193 0.339816i
\(151\) 1.43822 + 1.04493i 0.117041 + 0.0850351i 0.644766 0.764380i \(-0.276955\pi\)
−0.527725 + 0.849415i \(0.676955\pi\)
\(152\) −3.36984 + 3.74259i −0.273330 + 0.303564i
\(153\) −2.50973 + 7.72415i −0.202899 + 0.624460i
\(154\) −7.01945 −0.565644
\(155\) −17.1537 + 10.0897i −1.37781 + 0.810428i
\(156\) −3.49448 −0.279782
\(157\) 2.92658 9.00710i 0.233567 0.718845i −0.763741 0.645522i \(-0.776640\pi\)
0.997308 0.0733225i \(-0.0233603\pi\)
\(158\) 4.52674 5.02746i 0.360128 0.399963i
\(159\) 2.03536 + 1.47877i 0.161414 + 0.117274i
\(160\) 1.78716 3.09546i 0.141288 0.244718i
\(161\) 2.07151 + 3.58795i 0.163258 + 0.282770i
\(162\) −0.596670 + 5.67693i −0.0468788 + 0.446022i
\(163\) −6.22601 + 4.52346i −0.487659 + 0.354305i −0.804283 0.594246i \(-0.797451\pi\)
0.316624 + 0.948551i \(0.397451\pi\)
\(164\) −0.251216 2.39016i −0.0196167 0.186640i
\(165\) −3.50973 3.89795i −0.273232 0.303455i
\(166\) 14.0696 6.26419i 1.09201 0.486195i
\(167\) 20.8947 4.44130i 1.61688 0.343678i 0.691397 0.722475i \(-0.256996\pi\)
0.925480 + 0.378797i \(0.123662\pi\)
\(168\) 1.78716 + 0.379874i 0.137883 + 0.0293079i
\(169\) 17.3297 + 7.71570i 1.33306 + 0.593515i
\(170\) −3.42646 10.5456i −0.262798 0.808808i
\(171\) 4.07433 + 12.5395i 0.311572 + 0.958919i
\(172\) 10.3028 + 4.58712i 0.785584 + 0.349765i
\(173\) −5.40997 1.14992i −0.411312 0.0874271i −0.00239172 0.999997i \(-0.500761\pi\)
−0.408920 + 0.912570i \(0.634095\pi\)
\(174\) 2.09559 0.445432i 0.158866 0.0337681i
\(175\) 21.0003 9.34992i 1.58747 0.706787i
\(176\) −1.58879 1.76453i −0.119760 0.133006i
\(177\) 0.483569 + 4.60085i 0.0363473 + 0.345821i
\(178\) 1.34437 0.976746i 0.100765 0.0732102i
\(179\) 1.51807 14.4435i 0.113466 1.07956i −0.778559 0.627572i \(-0.784049\pi\)
0.892025 0.451987i \(-0.149285\pi\)
\(180\) −4.67886 8.10402i −0.348741 0.604038i
\(181\) −4.59161 + 7.95291i −0.341292 + 0.591135i −0.984673 0.174411i \(-0.944198\pi\)
0.643381 + 0.765546i \(0.277531\pi\)
\(182\) −13.5231 9.82508i −1.00240 0.728284i
\(183\) −5.52780 + 6.13924i −0.408627 + 0.453826i
\(184\) −0.433063 + 1.33283i −0.0319258 + 0.0982575i
\(185\) −0.670876 −0.0493238
\(186\) −0.0278640 3.44095i −0.00204309 0.252303i
\(187\) −7.36588 −0.538646
\(188\) −0.00456840 + 0.0140601i −0.000333184 + 0.00102544i
\(189\) 6.86840 7.62813i 0.499602 0.554865i
\(190\) −14.5630 10.5806i −1.05651 0.767600i
\(191\) 5.31700 9.20931i 0.384725 0.666362i −0.607006 0.794697i \(-0.707630\pi\)
0.991731 + 0.128334i \(0.0409631\pi\)
\(192\) 0.309017 + 0.535233i 0.0223014 + 0.0386271i
\(193\) 0.241757 2.30016i 0.0174020 0.165569i −0.982369 0.186950i \(-0.940140\pi\)
0.999771 + 0.0213811i \(0.00680634\pi\)
\(194\) 5.76515 4.18862i 0.413913 0.300726i
\(195\) −1.30560 12.4220i −0.0934962 0.889557i
\(196\) 1.16407 + 1.29284i 0.0831481 + 0.0923454i
\(197\) −2.77737 + 1.23657i −0.197880 + 0.0881017i −0.503284 0.864121i \(-0.667875\pi\)
0.305404 + 0.952223i \(0.401208\pi\)
\(198\) −6.08044 + 1.29244i −0.432118 + 0.0918496i
\(199\) −18.9024 4.01784i −1.33996 0.284817i −0.518496 0.855080i \(-0.673508\pi\)
−0.821462 + 0.570263i \(0.806841\pi\)
\(200\) 7.10357 + 3.16271i 0.502298 + 0.223638i
\(201\) −0.538483 1.65728i −0.0379817 0.116896i
\(202\) 0.384789 + 1.18426i 0.0270737 + 0.0833243i
\(203\) 9.36198 + 4.16822i 0.657082 + 0.292552i
\(204\) 1.87536 + 0.398621i 0.131302 + 0.0279090i
\(205\) 8.40257 1.78602i 0.586861 0.124741i
\(206\) −3.35440 + 1.49348i −0.233712 + 0.104055i
\(207\) 2.45502 + 2.72657i 0.170635 + 0.189510i
\(208\) −0.591023 5.62321i −0.0409801 0.389899i
\(209\) −9.67412 + 7.02866i −0.669173 + 0.486183i
\(210\) −0.682636 + 6.49485i −0.0471064 + 0.448187i
\(211\) 4.05764 + 7.02803i 0.279339 + 0.483830i 0.971221 0.238181i \(-0.0765513\pi\)
−0.691882 + 0.722011i \(0.743218\pi\)
\(212\) −2.03536 + 3.52534i −0.139789 + 0.242122i
\(213\) 4.35916 + 3.16711i 0.298685 + 0.217007i
\(214\) −12.2109 + 13.5616i −0.834722 + 0.927052i
\(215\) −12.4567 + 38.3378i −0.849541 + 2.61462i
\(216\) 3.47214 0.236249
\(217\) 9.56677 13.3943i 0.649435 0.909264i
\(218\) 20.0889 1.36059
\(219\) 1.50313 4.62614i 0.101572 0.312606i
\(220\) 5.67886 6.30701i 0.382869 0.425219i
\(221\) −14.1905 10.3100i −0.954553 0.693523i
\(222\) 0.0580002 0.100459i 0.00389272 0.00674239i
\(223\) −4.07102 7.05121i −0.272616 0.472184i 0.696915 0.717153i \(-0.254555\pi\)
−0.969531 + 0.244970i \(0.921222\pi\)
\(224\) −0.309017 + 2.94010i −0.0206471 + 0.196444i
\(225\) 16.4695 11.9658i 1.09796 0.797718i
\(226\) 0.855910 + 8.14344i 0.0569343 + 0.541694i
\(227\) 12.8352 + 14.2549i 0.851903 + 0.946134i 0.999076 0.0429768i \(-0.0136842\pi\)
−0.147173 + 0.989111i \(0.547017\pi\)
\(228\) 2.84342 1.26597i 0.188310 0.0838410i
\(229\) −7.95458 + 1.69080i −0.525654 + 0.111731i −0.463092 0.886310i \(-0.653260\pi\)
−0.0625613 + 0.998041i \(0.519927\pi\)
\(230\) −4.89968 1.04146i −0.323075 0.0686717i
\(231\) 3.96320 + 1.76453i 0.260759 + 0.116098i
\(232\) 1.07120 + 3.29683i 0.0703280 + 0.216447i
\(233\) 1.28921 + 3.96778i 0.0844590 + 0.259938i 0.984364 0.176149i \(-0.0563640\pi\)
−0.899905 + 0.436087i \(0.856364\pi\)
\(234\) −13.5231 6.02086i −0.884031 0.393596i
\(235\) −0.0516869 0.0109864i −0.00337168 0.000716673i
\(236\) −7.32177 + 1.55629i −0.476606 + 0.101306i
\(237\) −3.81960 + 1.70059i −0.248109 + 0.110465i
\(238\) 6.13660 + 6.81538i 0.397776 + 0.441775i
\(239\) 1.94575 + 18.5126i 0.125860 + 1.19748i 0.857024 + 0.515277i \(0.172311\pi\)
−0.731164 + 0.682202i \(0.761022\pi\)
\(240\) −1.78716 + 1.29845i −0.115361 + 0.0838147i
\(241\) 1.71665 16.3329i 0.110579 1.05209i −0.788718 0.614755i \(-0.789255\pi\)
0.899298 0.437337i \(-0.144078\pi\)
\(242\) 2.68109 + 4.64379i 0.172347 + 0.298514i
\(243\) 6.97214 12.0761i 0.447263 0.774682i
\(244\) −10.8140 7.85684i −0.692296 0.502983i
\(245\) −4.16078 + 4.62102i −0.265823 + 0.295226i
\(246\) −0.458995 + 1.41264i −0.0292645 + 0.0900668i
\(247\) −28.4753 −1.81184
\(248\) 5.53237 0.626809i 0.351306 0.0398024i
\(249\) −9.51840 −0.603204
\(250\) −3.06598 + 9.43612i −0.193910 + 0.596793i
\(251\) −14.1329 + 15.6962i −0.892062 + 0.990735i −0.999994 0.00342306i \(-0.998910\pi\)
0.107932 + 0.994158i \(0.465577\pi\)
\(252\) 6.26153 + 4.54927i 0.394440 + 0.286577i
\(253\) −1.66377 + 2.88174i −0.104600 + 0.181173i
\(254\) 0.957738 + 1.65885i 0.0600939 + 0.104086i
\(255\) −0.716325 + 6.81538i −0.0448580 + 0.426796i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −0.433618 4.12560i −0.0270484 0.257348i −0.999687 0.0250242i \(-0.992034\pi\)
0.972638 0.232324i \(-0.0746329\pi\)
\(258\) −4.66391 5.17980i −0.290362 0.322480i
\(259\) 0.506904 0.225688i 0.0314975 0.0140236i
\(260\) 19.7683 4.20188i 1.22598 0.260589i
\(261\) 8.87707 + 1.88688i 0.549477 + 0.116795i
\(262\) −8.04781 3.58311i −0.497195 0.221366i
\(263\) −6.15790 18.9521i −0.379712 1.16863i −0.940244 0.340501i \(-0.889403\pi\)
0.560532 0.828133i \(-0.310597\pi\)
\(264\) 0.453472 + 1.39564i 0.0279093 + 0.0858959i
\(265\) −13.2922 5.91805i −0.816531 0.363543i
\(266\) 14.5630 + 3.09546i 0.892914 + 0.189795i
\(267\) −1.00457 + 0.213528i −0.0614786 + 0.0130677i
\(268\) 2.57577 1.14681i 0.157340 0.0700524i
\(269\) −10.4242 11.5772i −0.635573 0.705875i 0.336201 0.941790i \(-0.390858\pi\)
−0.971774 + 0.235915i \(0.924191\pi\)
\(270\) 1.29726 + 12.3426i 0.0789485 + 0.751145i
\(271\) 0.697852 0.507019i 0.0423915 0.0307992i −0.566388 0.824139i \(-0.691660\pi\)
0.608779 + 0.793340i \(0.291660\pi\)
\(272\) −0.324267 + 3.08520i −0.0196616 + 0.187068i
\(273\) 5.16535 + 8.94665i 0.312621 + 0.541476i
\(274\) 5.85177 10.1356i 0.353518 0.612311i
\(275\) 14.9369 + 10.8523i 0.900728 + 0.654417i
\(276\) 0.579551 0.643657i 0.0348849 0.0387436i
\(277\) 2.47845 7.62788i 0.148916 0.458315i −0.848578 0.529070i \(-0.822541\pi\)
0.997494 + 0.0707550i \(0.0225409\pi\)
\(278\) 8.81702 0.528810
\(279\) 5.82081 13.3640i 0.348483 0.800079i
\(280\) −10.5668 −0.631485
\(281\) −3.38217 + 10.4092i −0.201763 + 0.620963i 0.798068 + 0.602568i \(0.205856\pi\)
−0.999831 + 0.0183952i \(0.994144\pi\)
\(282\) 0.00611371 0.00678996i 0.000364066 0.000404336i
\(283\) 8.37756 + 6.08665i 0.497994 + 0.361814i 0.808250 0.588839i \(-0.200415\pi\)
−0.310256 + 0.950653i \(0.600415\pi\)
\(284\) −4.35916 + 7.55028i −0.258668 + 0.448027i
\(285\) 5.56257 + 9.63465i 0.329498 + 0.570708i
\(286\) 1.40333 13.3518i 0.0829807 0.789508i
\(287\) −5.74803 + 4.17619i −0.339295 + 0.246513i
\(288\) 0.273659 + 2.60369i 0.0161255 + 0.153424i
\(289\) −4.93577 5.48173i −0.290340 0.322455i
\(290\) −11.3192 + 5.03962i −0.664684 + 0.295937i
\(291\) −4.30794 + 0.915681i −0.252536 + 0.0536781i
\(292\) 7.69848 + 1.63636i 0.450519 + 0.0957608i
\(293\) −9.98781 4.44686i −0.583494 0.259788i 0.0936906 0.995601i \(-0.470134\pi\)
−0.677185 + 0.735813i \(0.736800\pi\)
\(294\) −0.332250 1.02256i −0.0193772 0.0596369i
\(295\) −8.26777 25.4456i −0.481368 1.48150i
\(296\) 0.171466 + 0.0763415i 0.00996625 + 0.00443726i
\(297\) 8.06411 + 1.71408i 0.467927 + 0.0994610i
\(298\) −7.30678 + 1.55310i −0.423271 + 0.0899689i
\(299\) −7.23883 + 3.22293i −0.418632 + 0.186387i
\(300\) −3.21566 3.57135i −0.185656 0.206192i
\(301\) −3.48505 33.1580i −0.200875 1.91120i
\(302\) 1.43822 1.04493i 0.0827603 0.0601289i
\(303\) 0.0804429 0.765363i 0.00462132 0.0439690i
\(304\) 2.51807 + 4.36143i 0.144421 + 0.250145i
\(305\) 23.8888 41.3766i 1.36787 2.36921i
\(306\) 6.57055 + 4.77378i 0.375613 + 0.272899i
\(307\) 8.86320 9.84359i 0.505850 0.561803i −0.435086 0.900389i \(-0.643282\pi\)
0.940935 + 0.338586i \(0.109949\pi\)
\(308\) −2.16913 + 6.67590i −0.123598 + 0.380395i
\(309\) 2.26933 0.129098
\(310\) 4.29515 + 19.4320i 0.243948 + 1.10366i
\(311\) 16.7168 0.947923 0.473962 0.880546i \(-0.342824\pi\)
0.473962 + 0.880546i \(0.342824\pi\)
\(312\) −1.07985 + 3.32344i −0.0611346 + 0.188153i
\(313\) 13.3538 14.8309i 0.754801 0.838292i −0.236261 0.971690i \(-0.575922\pi\)
0.991063 + 0.133398i \(0.0425888\pi\)
\(314\) −7.66190 5.56669i −0.432386 0.314147i
\(315\) −13.8321 + 23.9579i −0.779350 + 1.34987i
\(316\) −3.38256 5.85876i −0.190284 0.329581i
\(317\) 0.213404 2.03041i 0.0119860 0.114039i −0.986893 0.161376i \(-0.948407\pi\)
0.998879 + 0.0473370i \(0.0150735\pi\)
\(318\) 2.03536 1.47877i 0.114137 0.0829255i
\(319\) 0.860359 + 8.18577i 0.0481709 + 0.458315i
\(320\) −2.39169 2.65624i −0.133700 0.148489i
\(321\) 10.3034 4.58737i 0.575079 0.256042i
\(322\) 4.05248 0.861381i 0.225836 0.0480029i
\(323\) 15.2817 + 3.24823i 0.850297 + 0.180736i
\(324\) 5.21470 + 2.32174i 0.289706 + 0.128985i
\(325\) 13.5862 + 41.8141i 0.753628 + 2.31943i
\(326\) 2.37812 + 7.31911i 0.131712 + 0.405368i
\(327\) −11.3422 5.04988i −0.627226 0.279259i
\(328\) −2.35081 0.499680i −0.129802 0.0275902i
\(329\) 0.0427497 0.00908674i 0.00235687 0.000500968i
\(330\) −4.79173 + 2.13342i −0.263776 + 0.117441i
\(331\) 0.461267 + 0.512289i 0.0253535 + 0.0281580i 0.755688 0.654932i \(-0.227303\pi\)
−0.730335 + 0.683089i \(0.760636\pi\)
\(332\) −1.60985 15.3167i −0.0883521 0.840614i
\(333\) 0.397540 0.288829i 0.0217850 0.0158278i
\(334\) 2.23288 21.2444i 0.122178 1.16244i
\(335\) 5.03897 + 8.72775i 0.275308 + 0.476848i
\(336\) 0.913545 1.58231i 0.0498380 0.0863219i
\(337\) 15.0704 + 10.9493i 0.820936 + 0.596445i 0.916981 0.398932i \(-0.130619\pi\)
−0.0960443 + 0.995377i \(0.530619\pi\)
\(338\) 12.6933 14.0973i 0.690422 0.766791i
\(339\) 1.56383 4.81296i 0.0849353 0.261404i
\(340\) −11.0883 −0.601345
\(341\) 13.1585 + 1.27537i 0.712572 + 0.0690653i
\(342\) 13.1848 0.712953
\(343\) −4.80554 + 14.7899i −0.259475 + 0.798581i
\(344\) 7.54636 8.38109i 0.406873 0.451878i
\(345\) 2.50457 + 1.81968i 0.134841 + 0.0979680i
\(346\) −2.76541 + 4.78984i −0.148670 + 0.257503i
\(347\) −3.25240 5.63332i −0.174598 0.302412i 0.765424 0.643526i \(-0.222529\pi\)
−0.940022 + 0.341114i \(0.889196\pi\)
\(348\) 0.223943 2.13067i 0.0120046 0.114216i
\(349\) −25.5751 + 18.5814i −1.36900 + 0.994638i −0.371187 + 0.928558i \(0.621049\pi\)
−0.997814 + 0.0660796i \(0.978951\pi\)
\(350\) −2.40286 22.8617i −0.128438 1.22201i
\(351\) 13.1364 + 14.5895i 0.701171 + 0.778729i
\(352\) −2.16913 + 0.965759i −0.115615 + 0.0514751i
\(353\) −30.7341 + 6.53274i −1.63581 + 0.347703i −0.931937 0.362620i \(-0.881882\pi\)
−0.703876 + 0.710323i \(0.748549\pi\)
\(354\) 4.52510 + 0.961840i 0.240506 + 0.0511212i
\(355\) −28.4680 12.6748i −1.51093 0.672708i
\(356\) −0.513506 1.58041i −0.0272157 0.0837614i
\(357\) −1.75150 5.39058i −0.0926995 0.285300i
\(358\) −13.2675 5.90706i −0.701208 0.312198i
\(359\) −15.5898 3.31372i −0.822798 0.174891i −0.222771 0.974871i \(-0.571510\pi\)
−0.600027 + 0.799980i \(0.704844\pi\)
\(360\) −9.15323 + 1.94558i −0.482417 + 0.102541i
\(361\) 5.81269 2.58798i 0.305931 0.136209i
\(362\) 6.14478 + 6.82447i 0.322962 + 0.358686i
\(363\) −0.346408 3.29586i −0.0181817 0.172988i
\(364\) −13.5231 + 9.82508i −0.708801 + 0.514974i
\(365\) −2.94056 + 27.9775i −0.153916 + 1.46441i
\(366\) 4.13058 + 7.15438i 0.215909 + 0.373966i
\(367\) −9.92623 + 17.1927i −0.518145 + 0.897454i 0.481633 + 0.876373i \(0.340044\pi\)
−0.999778 + 0.0210805i \(0.993289\pi\)
\(368\) 1.13377 + 0.823734i 0.0591020 + 0.0429401i
\(369\) −4.21017 + 4.67587i −0.219173 + 0.243416i
\(370\) −0.207312 + 0.638041i −0.0107776 + 0.0331702i
\(371\) 12.0342 0.624786
\(372\) −3.28115 1.03681i −0.170120 0.0537563i
\(373\) 3.09370 0.160186 0.0800929 0.996787i \(-0.474478\pi\)
0.0800929 + 0.996787i \(0.474478\pi\)
\(374\) −2.27618 + 7.00536i −0.117699 + 0.362239i
\(375\) 4.10309 4.55694i 0.211882 0.235319i
\(376\) 0.0119602 + 0.00868960i 0.000616801 + 0.000448132i
\(377\) −9.80008 + 16.9742i −0.504730 + 0.874218i
\(378\) −5.13233 8.88946i −0.263979 0.457224i
\(379\) 0.385049 3.66350i 0.0197787 0.188181i −0.980172 0.198150i \(-0.936507\pi\)
0.999950 + 0.00996891i \(0.00317326\pi\)
\(380\) −14.5630 + 10.5806i −0.747066 + 0.542775i
\(381\) −0.123744 1.17734i −0.00633959 0.0603172i
\(382\) −7.11553 7.90260i −0.364062 0.404332i
\(383\) 23.9308 10.6547i 1.22281 0.544430i 0.309190 0.951000i \(-0.399942\pi\)
0.913619 + 0.406571i \(0.133276\pi\)
\(384\) 0.604528 0.128496i 0.0308497 0.00655731i
\(385\) −24.5416 5.21647i −1.25075 0.265856i
\(386\) −2.11288 0.940713i −0.107543 0.0478810i
\(387\) −9.12398 28.0807i −0.463798 1.42742i
\(388\) −2.20209 6.77734i −0.111794 0.344067i
\(389\) −12.4460 5.54133i −0.631039 0.280957i 0.0661878 0.997807i \(-0.478916\pi\)
−0.697227 + 0.716850i \(0.745583\pi\)
\(390\) −12.2175 2.59690i −0.618655 0.131499i
\(391\) 4.25247 0.903891i 0.215057 0.0457117i
\(392\) 1.58928 0.707592i 0.0802707 0.0357388i
\(393\) 3.64310 + 4.04607i 0.183770 + 0.204097i
\(394\) 0.317789 + 3.02356i 0.0160100 + 0.152325i
\(395\) 19.5626 14.2131i 0.984303 0.715138i
\(396\) −0.649779 + 6.18223i −0.0326526 + 0.310669i
\(397\) 14.4954 + 25.1068i 0.727503 + 1.26007i 0.957935 + 0.286984i \(0.0926528\pi\)
−0.230432 + 0.973088i \(0.574014\pi\)
\(398\) −9.66236 + 16.7357i −0.484331 + 0.838885i
\(399\) −7.44417 5.40851i −0.372675 0.270764i
\(400\) 5.20305 5.77857i 0.260152 0.288928i
\(401\) −4.86965 + 14.9873i −0.243179 + 0.748428i 0.752752 + 0.658305i \(0.228726\pi\)
−0.995931 + 0.0901232i \(0.971274\pi\)
\(402\) −1.74257 −0.0869114
\(403\) 23.5649 + 20.8749i 1.17385 + 1.03985i
\(404\) 1.24520 0.0619513
\(405\) −6.30487 + 19.4044i −0.313292 + 0.964213i
\(406\) 6.85723 7.61572i 0.340318 0.377962i
\(407\) 0.360546 + 0.261952i 0.0178716 + 0.0129845i
\(408\) 0.958630 1.66040i 0.0474593 0.0822019i
\(409\) −14.2696 24.7157i −0.705587 1.22211i −0.966479 0.256745i \(-0.917350\pi\)
0.260892 0.965368i \(-0.415983\pi\)
\(410\) 0.897930 8.54323i 0.0443456 0.421920i
\(411\) −5.85177 + 4.25156i −0.288646 + 0.209714i
\(412\) 0.383813 + 3.65174i 0.0189091 + 0.179908i
\(413\) 14.8071 + 16.4450i 0.728610 + 0.809203i
\(414\) 3.35177 1.49230i 0.164730 0.0733427i
\(415\) 53.8456 11.4452i 2.64318 0.561825i
\(416\) −5.53062 1.17557i −0.271161 0.0576371i
\(417\) −4.97811 2.21640i −0.243779 0.108537i
\(418\) 3.69519 + 11.3726i 0.180737 + 0.556253i
\(419\) −9.46027 29.1157i −0.462165 1.42240i −0.862514 0.506034i \(-0.831111\pi\)
0.400349 0.916363i \(-0.368889\pi\)
\(420\) 5.96602 + 2.65624i 0.291112 + 0.129611i
\(421\) −18.3182 3.89366i −0.892775 0.189765i −0.261389 0.965234i \(-0.584180\pi\)
−0.631386 + 0.775468i \(0.717514\pi\)
\(422\) 7.93793 1.68726i 0.386413 0.0821345i
\(423\) 0.0353579 0.0157424i 0.00171916 0.000765420i
\(424\) 2.72384 + 3.02513i 0.132281 + 0.146913i
\(425\) −2.52145 23.9900i −0.122308 1.16369i
\(426\) 4.35916 3.16711i 0.211202 0.153447i
\(427\) −4.13058 + 39.2999i −0.199893 + 1.90185i
\(428\) 9.12447 + 15.8040i 0.441048 + 0.763917i
\(429\) −4.14866 + 7.18569i −0.200299 + 0.346928i
\(430\) 32.6121 + 23.6941i 1.57270 + 1.14263i
\(431\) −21.3140 + 23.6716i −1.02666 + 1.14022i −0.0366333 + 0.999329i \(0.511663\pi\)
−0.990025 + 0.140891i \(0.955003\pi\)
\(432\) 1.07295 3.30220i 0.0516223 0.158877i
\(433\) 21.0681 1.01247 0.506234 0.862396i \(-0.331037\pi\)
0.506234 + 0.862396i \(0.331037\pi\)
\(434\) −9.78243 13.2376i −0.469572 0.635425i
\(435\) 7.65767 0.367157
\(436\) 6.20780 19.1056i 0.297300 0.914994i
\(437\) 4.72256 5.24494i 0.225911 0.250899i
\(438\) −3.93523 2.85911i −0.188033 0.136614i
\(439\) 8.91610 15.4431i 0.425542 0.737061i −0.570929 0.821000i \(-0.693417\pi\)
0.996471 + 0.0839388i \(0.0267500\pi\)
\(440\) −4.24346 7.34989i −0.202299 0.350392i
\(441\) 0.476080 4.52959i 0.0226705 0.215695i
\(442\) −14.1905 + 10.3100i −0.674971 + 0.490395i
\(443\) −1.70725 16.2434i −0.0811138 0.771747i −0.957168 0.289534i \(-0.906500\pi\)
0.876054 0.482213i \(-0.160167\pi\)
\(444\) −0.0776195 0.0862052i −0.00368366 0.00409112i
\(445\) 5.42610 2.41585i 0.257222 0.114522i
\(446\) −7.96411 + 1.69282i −0.377112 + 0.0801576i
\(447\) 4.51584 + 0.959872i 0.213592 + 0.0454004i
\(448\) 2.70071 + 1.20243i 0.127597 + 0.0568096i
\(449\) 6.61570 + 20.3610i 0.312214 + 0.960896i 0.976886 + 0.213761i \(0.0685713\pi\)
−0.664672 + 0.747135i \(0.731429\pi\)
\(450\) −6.29078 19.3610i −0.296550 0.912687i
\(451\) −5.21314 2.32104i −0.245477 0.109293i
\(452\) 8.00936 + 1.70244i 0.376729 + 0.0800762i
\(453\) −1.07469 + 0.228433i −0.0504935 + 0.0107327i
\(454\) 17.5236 7.80199i 0.822421 0.366166i
\(455\) −39.9782 44.4003i −1.87421 2.08152i
\(456\) −0.325346 3.09546i −0.0152357 0.144958i
\(457\) −4.33054 + 3.14632i −0.202574 + 0.147179i −0.684447 0.729062i \(-0.739957\pi\)
0.481873 + 0.876241i \(0.339957\pi\)
\(458\) −0.850056 + 8.08775i −0.0397205 + 0.377916i
\(459\) −5.38562 9.32816i −0.251379 0.435401i
\(460\) −2.50457 + 4.33804i −0.116776 + 0.202262i
\(461\) 1.54419 + 1.12192i 0.0719202 + 0.0522531i 0.623164 0.782091i \(-0.285847\pi\)
−0.551244 + 0.834344i \(0.685847\pi\)
\(462\) 2.90286 3.22396i 0.135053 0.149992i
\(463\) 5.87363 18.0772i 0.272971 0.840118i −0.716778 0.697301i \(-0.754384\pi\)
0.989749 0.142817i \(-0.0456160\pi\)
\(464\) 3.46649 0.160928
\(465\) 2.45971 12.0510i 0.114066 0.558854i
\(466\) 4.17198 0.193263
\(467\) −2.94982 + 9.07860i −0.136501 + 0.420108i −0.995821 0.0913319i \(-0.970888\pi\)
0.859319 + 0.511440i \(0.170888\pi\)
\(468\) −9.90503 + 11.0007i −0.457860 + 0.508505i
\(469\) −6.74346 4.89941i −0.311384 0.226234i
\(470\) −0.0264208 + 0.0457622i −0.00121870 + 0.00211085i
\(471\) 2.92658 + 5.06899i 0.134850 + 0.233567i
\(472\) −0.782431 + 7.44433i −0.0360143 + 0.342653i
\(473\) 21.6641 15.7399i 0.996115 0.723720i
\(474\) 0.437041 + 4.15817i 0.0200739 + 0.190991i
\(475\) −26.2033 29.1017i −1.20229 1.33528i
\(476\) 8.37812 3.73018i 0.384011 0.170973i
\(477\) 10.4244 2.21577i 0.477300 0.101453i
\(478\) 18.2078 + 3.87018i 0.832804 + 0.177018i
\(479\) 19.2093 + 8.55254i 0.877696 + 0.390775i 0.795581 0.605847i \(-0.207166\pi\)
0.0821152 + 0.996623i \(0.473832\pi\)
\(480\) 0.682636 + 2.10094i 0.0311579 + 0.0958943i
\(481\) 0.327944 + 1.00931i 0.0149530 + 0.0460205i
\(482\) −15.0030 6.67977i −0.683368 0.304255i
\(483\) −2.50457 0.532362i −0.113962 0.0242233i
\(484\) 5.24501 1.11486i 0.238409 0.0506755i
\(485\) 23.2690 10.3600i 1.05659 0.470424i
\(486\) −9.33054 10.3626i −0.423242 0.470058i
\(487\) 3.03282 + 28.8553i 0.137430 + 1.30756i 0.818146 + 0.575011i \(0.195002\pi\)
−0.680716 + 0.732548i \(0.738331\pi\)
\(488\) −10.8140 + 7.85684i −0.489527 + 0.355662i
\(489\) 0.497163 4.73019i 0.0224825 0.213907i
\(490\) 3.10910 + 5.38511i 0.140455 + 0.243275i
\(491\) 3.67758 6.36975i 0.165967 0.287463i −0.771031 0.636797i \(-0.780259\pi\)
0.936998 + 0.349334i \(0.113592\pi\)
\(492\) 1.20167 + 0.873061i 0.0541752 + 0.0393606i
\(493\) 7.19564 7.99157i 0.324075 0.359922i
\(494\) −8.79935 + 27.0816i −0.395901 + 1.21846i
\(495\) −22.2190 −0.998672
\(496\) 1.11347 5.45529i 0.0499961 0.244950i
\(497\) 25.7739 1.15612
\(498\) −2.94135 + 9.05253i −0.131805 + 0.405654i
\(499\) 6.37051 7.07517i 0.285183 0.316728i −0.583483 0.812125i \(-0.698311\pi\)
0.868667 + 0.495397i \(0.164977\pi\)
\(500\) 8.02685 + 5.83184i 0.358971 + 0.260808i
\(501\) −6.60105 + 11.4334i −0.294913 + 0.510805i
\(502\) 10.5607 + 18.2916i 0.471345 + 0.816394i
\(503\) −0.494705 + 4.70680i −0.0220578 + 0.209866i 0.977942 + 0.208878i \(0.0669811\pi\)
−1.00000 0.000987951i \(0.999686\pi\)
\(504\) 6.26153 4.54927i 0.278911 0.202641i
\(505\) 0.465232 + 4.42639i 0.0207026 + 0.196972i
\(506\) 2.22656 + 2.47285i 0.0989828 + 0.109931i
\(507\) −10.7104 + 4.76857i −0.475664 + 0.211779i
\(508\) 1.87362 0.398250i 0.0831284 0.0176695i
\(509\) −37.9520 8.06695i −1.68219 0.357561i −0.734961 0.678110i \(-0.762799\pi\)
−0.947232 + 0.320549i \(0.896133\pi\)
\(510\) 6.26046 + 2.78733i 0.277218 + 0.123425i
\(511\) −7.19003 22.1286i −0.318068 0.978913i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −15.9744 7.11227i −0.705288 0.314015i
\(514\) −4.05768 0.862486i −0.178976 0.0380426i
\(515\) −12.8376 + 2.72872i −0.565693 + 0.120242i
\(516\) −6.36751 + 2.83500i −0.280314 + 0.124804i
\(517\) 0.0234881 + 0.0260862i 0.00103301 + 0.00114727i
\(518\) −0.0580002 0.551835i −0.00254838 0.0242463i
\(519\) 2.76541 2.00919i 0.121388 0.0881937i
\(520\) 2.11251 20.0992i 0.0926397 0.881408i
\(521\) 0.711392 + 1.23217i 0.0311667 + 0.0539822i 0.881188 0.472766i \(-0.156744\pi\)
−0.850021 + 0.526748i \(0.823411\pi\)
\(522\) 4.53769 7.85952i 0.198609 0.344002i
\(523\) 1.08570 + 0.788807i 0.0474743 + 0.0344921i 0.611269 0.791423i \(-0.290659\pi\)
−0.563795 + 0.825915i \(0.690659\pi\)
\(524\) −5.89465 + 6.54668i −0.257509 + 0.285993i
\(525\) −4.39025 + 13.5118i −0.191606 + 0.589703i
\(526\) −19.9274 −0.868875
\(527\) −10.2652 13.8909i −0.447160 0.605097i
\(528\) 1.46747 0.0638632
\(529\) −6.50049 + 20.0064i −0.282630 + 0.869845i
\(530\) −9.73590 + 10.8128i −0.422901 + 0.469679i
\(531\) 15.8542 + 11.5188i 0.688014 + 0.499871i
\(532\) 7.44417 12.8937i 0.322746 0.559012i
\(533\) −6.79443 11.7683i −0.294300 0.509742i
\(534\) −0.107352 + 1.02138i −0.00464557 + 0.0441997i
\(535\) −52.7703 + 38.3399i −2.28146 + 1.65758i
\(536\) −0.294722 2.80409i −0.0127300 0.121118i
\(537\) 6.00595 + 6.67028i 0.259176 + 0.287844i
\(538\) −14.2318 + 6.33642i −0.613577 + 0.273182i
\(539\) 4.04045 0.858824i 0.174034 0.0369922i
\(540\) 12.1394 + 2.58030i 0.522395 + 0.111038i
\(541\) −1.83418 0.816630i −0.0788576 0.0351097i 0.366929 0.930249i \(-0.380409\pi\)
−0.445786 + 0.895139i \(0.647076\pi\)
\(542\) −0.266556 0.820374i −0.0114496 0.0352381i
\(543\) −1.75384 5.39777i −0.0752645 0.231640i
\(544\) 2.83399 + 1.26178i 0.121507 + 0.0540982i
\(545\) 70.2351 + 14.9289i 3.00854 + 0.639485i
\(546\) 10.1050 2.14787i 0.432452 0.0919205i
\(547\) −22.3311 + 9.94246i −0.954810 + 0.425109i −0.824184 0.566323i \(-0.808366\pi\)
−0.130627 + 0.991432i \(0.541699\pi\)
\(548\) −7.83119 8.69742i −0.334532 0.371535i
\(549\) 3.65796 + 34.8032i 0.156118 + 1.48536i
\(550\) 14.9369 10.8523i 0.636911 0.462743i
\(551\) 1.82483 17.3621i 0.0777405 0.739651i
\(552\) −0.433063 0.750086i −0.0184324 0.0319258i
\(553\) −9.99983 + 17.3202i −0.425236 + 0.736531i
\(554\) −6.48866 4.71429i −0.275677 0.200291i
\(555\) 0.277438 0.308126i 0.0117766 0.0130792i
\(556\) 2.72461 8.38548i 0.115549 0.355624i
\(557\) −27.0163 −1.14472 −0.572358 0.820004i \(-0.693971\pi\)
−0.572358 + 0.820004i \(0.693971\pi\)
\(558\) −10.9111 9.66561i −0.461906 0.409178i
\(559\) 63.7671 2.69706
\(560\) −3.26531 + 10.0496i −0.137985 + 0.424673i
\(561\) 3.04612 3.38306i 0.128607 0.142833i
\(562\) 8.85462 + 6.43326i 0.373510 + 0.271371i
\(563\) 1.42051 2.46040i 0.0598674 0.103693i −0.834538 0.550950i \(-0.814266\pi\)
0.894406 + 0.447256i \(0.147599\pi\)
\(564\) −0.00456840 0.00791269i −0.000192364 0.000333184i
\(565\) −3.05930 + 29.1073i −0.128706 + 1.22455i
\(566\) 8.37756 6.08665i 0.352135 0.255841i
\(567\) −1.76393 16.7827i −0.0740782 0.704807i
\(568\) 5.83369 + 6.47897i 0.244776 + 0.271852i
\(569\) 10.2494 4.56333i 0.429678 0.191305i −0.180491 0.983577i \(-0.557769\pi\)
0.610168 + 0.792272i \(0.291102\pi\)
\(570\) 10.8820 2.31305i 0.455798 0.0968828i
\(571\) 30.4402 + 6.47027i 1.27388 + 0.270772i 0.794732 0.606960i \(-0.207611\pi\)
0.479151 + 0.877733i \(0.340945\pi\)
\(572\) −12.2647 5.46058i −0.512811 0.228318i
\(573\) 2.03091 + 6.25051i 0.0848426 + 0.261119i
\(574\) 2.19555 + 6.75721i 0.0916405 + 0.282041i
\(575\) −9.95509 4.43229i −0.415156 0.184839i
\(576\) 2.56082 + 0.544320i 0.106701 + 0.0226800i
\(577\) 11.1198 2.36359i 0.462924 0.0983975i 0.0294551 0.999566i \(-0.490623\pi\)
0.433469 + 0.901169i \(0.357289\pi\)
\(578\) −6.73867 + 3.00025i −0.280292 + 0.124794i
\(579\) 0.956460 + 1.06226i 0.0397491 + 0.0441459i
\(580\) 1.29515 + 12.3225i 0.0537780 + 0.511664i
\(581\) −36.8347 + 26.7620i −1.52816 + 1.11027i
\(582\) −0.460362 + 4.38005i −0.0190826 + 0.181559i
\(583\) 4.83277 + 8.37061i 0.200153 + 0.346675i
\(584\) 3.93523 6.81602i 0.162841 0.282049i
\(585\) −42.8053 31.0998i −1.76978 1.28582i
\(586\) −7.31562 + 8.12482i −0.302205 + 0.335633i
\(587\) 2.73530 8.41839i 0.112898 0.347464i −0.878605 0.477549i \(-0.841525\pi\)
0.991503 + 0.130085i \(0.0415252\pi\)
\(588\) −1.07518 −0.0443398
\(589\) −26.7370 8.44864i −1.10168 0.348120i
\(590\) −26.7551 −1.10149
\(591\) 0.580629 1.78699i 0.0238839 0.0735071i
\(592\) 0.125591 0.139483i 0.00516176 0.00573271i
\(593\) −30.9714 22.5021i −1.27184 0.924049i −0.272570 0.962136i \(-0.587874\pi\)
−0.999274 + 0.0380867i \(0.987874\pi\)
\(594\) 4.12214 7.13975i 0.169133 0.292947i
\(595\) 16.3901 + 28.3885i 0.671928 + 1.16381i
\(596\) −0.780830 + 7.42910i −0.0319840 + 0.304308i
\(597\) 9.66236 7.02012i 0.395454 0.287314i
\(598\) 0.828271 + 7.88048i 0.0338705 + 0.322257i
\(599\) 12.6855 + 14.0886i 0.518314 + 0.575646i 0.944301 0.329083i \(-0.106740\pi\)
−0.425987 + 0.904729i \(0.640073\pi\)
\(600\) −4.39025 + 1.95467i −0.179231 + 0.0797989i
\(601\) 15.4061 3.27467i 0.628428 0.133576i 0.117321 0.993094i \(-0.462569\pi\)
0.511106 + 0.859518i \(0.329236\pi\)
\(602\) −32.6121 6.93192i −1.32917 0.282524i
\(603\) −6.74346 3.00238i −0.274615 0.122266i
\(604\) −0.549352 1.69073i −0.0223528 0.0687948i
\(605\) 5.92268 + 18.2281i 0.240791 + 0.741079i
\(606\) −0.703045 0.313016i −0.0285593 0.0127154i
\(607\) 9.07360 + 1.92865i 0.368286 + 0.0782816i 0.388337 0.921517i \(-0.373050\pi\)
−0.0200512 + 0.999799i \(0.506383\pi\)
\(608\) 4.92610 1.04707i 0.199780 0.0424645i
\(609\) −5.78602 + 2.57610i −0.234461 + 0.104389i
\(610\) −31.9694 35.5056i −1.29440 1.43758i
\(611\) 0.00873747 + 0.0831315i 0.000353480 + 0.00336314i
\(612\) 6.57055 4.77378i 0.265599 0.192969i
\(613\) 3.56390 33.9083i 0.143945 1.36954i −0.649251 0.760574i \(-0.724917\pi\)
0.793195 0.608967i \(-0.208416\pi\)
\(614\) −6.62293 11.4712i −0.267280 0.462942i
\(615\) −2.65455 + 4.59781i −0.107042 + 0.185402i
\(616\) 5.67886 + 4.12593i 0.228808 + 0.166239i
\(617\) 29.2187 32.4507i 1.17630 1.30642i 0.233773 0.972291i \(-0.424893\pi\)
0.942529 0.334125i \(-0.108441\pi\)
\(618\) 0.701261 2.15826i 0.0282089 0.0868180i
\(619\) 25.4295 1.02210 0.511048 0.859552i \(-0.329257\pi\)
0.511048 + 0.859552i \(0.329257\pi\)
\(620\) 19.8082 + 1.91989i 0.795516 + 0.0771046i
\(621\) −4.86592 −0.195263
\(622\) 5.16578 15.8986i 0.207129 0.637477i
\(623\) −3.28716 + 3.65077i −0.131697 + 0.146265i
\(624\) 2.82709 + 2.05400i 0.113174 + 0.0822259i
\(625\) 1.70781 2.95802i 0.0683125 0.118321i
\(626\) −9.97847 17.2832i −0.398820 0.690776i
\(627\) 0.772504 7.34989i 0.0308509 0.293526i
\(628\) −7.66190 + 5.56669i −0.305743 + 0.222135i
\(629\) −0.0608626 0.579069i −0.00242675 0.0230890i
\(630\) 18.5109 + 20.5585i 0.737494 + 0.819070i
\(631\) 1.31736 0.586528i 0.0524434 0.0233493i −0.380347 0.924844i \(-0.624196\pi\)
0.432791 + 0.901494i \(0.357529\pi\)
\(632\) −6.61728 + 1.40655i −0.263221 + 0.0559494i
\(633\) −4.90591 1.04278i −0.194993 0.0414469i
\(634\) −1.86509 0.830390i −0.0740720 0.0329790i
\(635\) 2.11570 + 6.51145i 0.0839589 + 0.258399i
\(636\) −0.777438 2.39271i −0.0308274 0.0948770i
\(637\) 8.98607 + 4.00085i 0.356041 + 0.158520i
\(638\) 8.05100 + 1.71129i 0.318742 + 0.0677507i
\(639\) 22.3261 4.74555i 0.883206 0.187731i
\(640\) −3.26531 + 1.45381i −0.129073 + 0.0574669i
\(641\) 30.2086 + 33.5500i 1.19317 + 1.32515i 0.933126 + 0.359549i \(0.117069\pi\)
0.260041 + 0.965598i \(0.416264\pi\)
\(642\) −1.17892 11.2167i −0.0465283 0.442687i
\(643\) 13.2740 9.64414i 0.523476 0.380328i −0.294436 0.955671i \(-0.595132\pi\)
0.817912 + 0.575344i \(0.195132\pi\)
\(644\) 0.433063 4.12032i 0.0170651 0.162363i
\(645\) −12.4567 21.5757i −0.490483 0.849541i
\(646\) 7.81155 13.5300i 0.307341 0.532331i
\(647\) 1.88302 + 1.36810i 0.0740293 + 0.0537854i 0.624184 0.781277i \(-0.285431\pi\)
−0.550155 + 0.835063i \(0.685431\pi\)
\(648\) 3.81953 4.24202i 0.150045 0.166642i
\(649\) −5.49224 + 16.9034i −0.215589 + 0.663515i
\(650\) 43.9660 1.72449
\(651\) 2.19555 + 9.93306i 0.0860504 + 0.389307i
\(652\) 7.69577 0.301390
\(653\) −9.16191 + 28.1975i −0.358533 + 1.10345i 0.595399 + 0.803430i \(0.296994\pi\)
−0.953932 + 0.300022i \(0.903006\pi\)
\(654\) −8.30766 + 9.22659i −0.324855 + 0.360788i
\(655\) −25.4741 18.5080i −0.995357 0.723169i
\(656\) −1.20167 + 2.08135i −0.0469171 + 0.0812629i
\(657\) −10.3026 17.8446i −0.401942 0.696183i
\(658\) 0.00456840 0.0434654i 0.000178095 0.00169446i
\(659\) 20.1171 14.6159i 0.783652 0.569356i −0.122421 0.992478i \(-0.539066\pi\)
0.906073 + 0.423122i \(0.139066\pi\)
\(660\) 0.548273 + 5.21647i 0.0213415 + 0.203051i
\(661\) −33.0620 36.7191i −1.28596 1.42821i −0.848700 0.528874i \(-0.822614\pi\)
−0.437264 0.899333i \(-0.644052\pi\)
\(662\) 0.629756 0.280385i 0.0244761 0.0108975i
\(663\) 10.6036 2.25388i 0.411812 0.0875333i
\(664\) −15.0645 3.20207i −0.584617 0.124264i
\(665\) 48.6151 + 21.6448i 1.88521 + 0.839350i
\(666\) −0.151847 0.467336i −0.00588394 0.0181089i
\(667\) −1.50121 4.62024i −0.0581270 0.178896i
\(668\) −19.5147 8.68849i −0.755045 0.336168i
\(669\) 4.92209 + 1.04622i 0.190299 + 0.0404493i
\(670\) 9.85772 2.09532i 0.380837 0.0809494i
\(671\) −28.9944 + 12.9092i −1.11932 + 0.498353i
\(672\) −1.22256 1.35779i −0.0471614 0.0523780i
\(673\) 0.301365 + 2.86730i 0.0116168 + 0.110526i 0.998794 0.0491038i \(-0.0156365\pi\)
−0.987177 + 0.159630i \(0.948970\pi\)
\(674\) 15.0704 10.9493i 0.580490 0.421750i
\(675\) −2.82214 + 26.8508i −0.108624 + 1.03349i
\(676\) −9.48489 16.4283i −0.364803 0.631858i
\(677\) 18.3782 31.8319i 0.706330 1.22340i −0.259879 0.965641i \(-0.583683\pi\)
0.966209 0.257758i \(-0.0829839\pi\)
\(678\) −4.09415 2.97457i −0.157235 0.114238i
\(679\) −14.0965 + 15.6558i −0.540974 + 0.600813i
\(680\) −3.42646 + 10.5456i −0.131399 + 0.404404i
\(681\) −11.8551 −0.454288
\(682\) 5.27915 12.1204i 0.202149 0.464112i
\(683\) −50.0128 −1.91369 −0.956843 0.290605i \(-0.906143\pi\)
−0.956843 + 0.290605i \(0.906143\pi\)
\(684\) 4.07433 12.5395i 0.155786 0.479460i
\(685\) 27.9913 31.0874i 1.06949 1.18779i
\(686\) 12.5811 + 9.14068i 0.480347 + 0.348993i
\(687\) 2.51302 4.35267i 0.0958776 0.166065i
\(688\) −5.63893 9.76692i −0.214982 0.372360i
\(689\) −2.40589 + 22.8905i −0.0916570 + 0.872058i
\(690\) 2.50457 1.81968i 0.0953473 0.0692739i
\(691\) 2.01114 + 19.1347i 0.0765072 + 0.727917i 0.963785 + 0.266682i \(0.0859272\pi\)
−0.887278 + 0.461236i \(0.847406\pi\)
\(692\) 3.70085 + 4.11021i 0.140685 + 0.156247i
\(693\) 16.7884 7.47467i 0.637738 0.283939i
\(694\) −6.36265 + 1.35242i −0.241523 + 0.0513373i
\(695\) 30.8263 + 6.55232i 1.16931 + 0.248544i
\(696\) −1.95719 0.871396i −0.0741870 0.0330302i
\(697\) 2.30391 + 7.09069i 0.0872666 + 0.268579i
\(698\) 9.76880 + 30.0653i 0.369755 + 1.13799i
\(699\) −2.35551 1.04874i −0.0890934 0.0396669i
\(700\) −22.4853 4.77940i −0.849865 0.180644i
\(701\) −46.4620 + 9.87579i −1.75484 + 0.373004i −0.969315 0.245822i \(-0.920942\pi\)
−0.785529 + 0.618825i \(0.787609\pi\)
\(702\) 17.9348 7.98509i 0.676906 0.301378i
\(703\) −0.632495 0.702456i −0.0238550 0.0264936i
\(704\) 0.248193 + 2.36140i 0.00935414 + 0.0889987i
\(705\) 0.0264208 0.0191958i 0.000995065 0.000722957i
\(706\) −3.28436 + 31.2486i −0.123609 + 1.17606i
\(707\) −1.84060 3.18801i −0.0692228 0.119897i
\(708\) 2.31310 4.00640i 0.0869315 0.150570i
\(709\) 26.3642 + 19.1547i 0.990128 + 0.719370i 0.959949 0.280175i \(-0.0903923\pi\)
0.0301787 + 0.999545i \(0.490392\pi\)
\(710\) −20.8515 + 23.1580i −0.782544 + 0.869103i
\(711\) −5.47309 + 16.8444i −0.205257 + 0.631716i
\(712\) −1.66174 −0.0622763
\(713\) −7.75317 + 0.878422i −0.290359 + 0.0328972i
\(714\) −5.66799 −0.212119
\(715\) 14.8287 45.6380i 0.554561 1.70676i
\(716\) −9.71783 + 10.7927i −0.363172 + 0.403344i
\(717\) −9.30727 6.76213i −0.347586 0.252536i
\(718\) −7.96905 + 13.8028i −0.297402 + 0.515116i
\(719\) 13.5424 + 23.4562i 0.505047 + 0.874767i 0.999983 + 0.00583764i \(0.00185819\pi\)
−0.494936 + 0.868929i \(0.664808\pi\)
\(720\) −0.978148 + 9.30645i −0.0364534 + 0.346831i
\(721\) 8.78194 6.38045i 0.327057 0.237621i
\(722\) −0.665092 6.32793i −0.0247522 0.235501i
\(723\) 6.79159 + 7.54282i 0.252582 + 0.280520i
\(724\) 8.38929 3.73515i 0.311786 0.138816i
\(725\) −26.3658 + 5.60422i −0.979201 + 0.208136i
\(726\) −3.24159 0.689022i −0.120307 0.0255720i
\(727\) −18.9170 8.42239i −0.701592 0.312369i 0.0247581 0.999693i \(-0.492118\pi\)
−0.726351 + 0.687324i \(0.758785\pi\)
\(728\) 5.16535 + 15.8973i 0.191441 + 0.589194i
\(729\) −2.62868 8.09024i −0.0973584 0.299638i
\(730\) 25.6995 + 11.4422i 0.951182 + 0.423494i
\(731\) −34.2216 7.27402i −1.26573 0.269039i
\(732\) 8.08064 1.71759i 0.298669 0.0634841i
\(733\) 38.1037 16.9648i 1.40739 0.626611i 0.444322 0.895867i \(-0.353444\pi\)
0.963069 + 0.269256i \(0.0867778\pi\)
\(734\) 13.2839 + 14.7533i 0.490317 + 0.544553i
\(735\) −0.401709 3.82200i −0.0148172 0.140977i
\(736\) 1.13377 0.823734i 0.0417914 0.0303632i
\(737\) 0.699790 6.65805i 0.0257771 0.245253i
\(738\) 3.14600 + 5.44903i 0.115806 + 0.200582i
\(739\) −24.9736 + 43.2555i −0.918667 + 1.59118i −0.117225 + 0.993105i \(0.537400\pi\)
−0.801442 + 0.598073i \(0.795933\pi\)
\(740\) 0.542750 + 0.394331i 0.0199519 + 0.0144959i
\(741\) 11.7758 13.0784i 0.432596 0.480446i
\(742\) 3.71878 11.4452i 0.136521 0.420168i
\(743\) 18.3665 0.673800 0.336900 0.941540i \(-0.390622\pi\)
0.336900 + 0.941540i \(0.390622\pi\)
\(744\) −2.00000 + 2.80017i −0.0733236 + 0.102659i
\(745\) −26.7003 −0.978224
\(746\) 0.956007 2.94229i 0.0350019 0.107725i
\(747\) −26.9797 + 29.9640i −0.987137 + 1.09633i
\(748\) 5.95912 + 4.32955i 0.217887 + 0.158304i
\(749\) 26.9746 46.7214i 0.985631 1.70716i
\(750\) −3.06598 5.31044i −0.111954 0.193910i
\(751\) 4.93229 46.9276i 0.179982 1.71241i −0.415960 0.909383i \(-0.636554\pi\)
0.595941 0.803028i \(-0.296779\pi\)
\(752\) 0.0119602 0.00868960i 0.000436144 0.000316877i
\(753\) −1.36448 12.9822i −0.0497245 0.473097i
\(754\) 13.1151 + 14.5658i 0.477623 + 0.530454i
\(755\) 5.80487 2.58450i 0.211261 0.0940595i
\(756\) −10.0404 + 2.13414i −0.365164 + 0.0776180i
\(757\) −15.8403 3.36695i −0.575724 0.122374i −0.0891578 0.996018i \(-0.528418\pi\)
−0.486566 + 0.873644i \(0.661751\pi\)
\(758\) −3.36521 1.49829i −0.122230 0.0544203i
\(759\) −0.635504 1.95588i −0.0230674 0.0709940i
\(760\) 5.56257 + 17.1198i 0.201776 + 0.621001i
\(761\) 9.52778 + 4.24204i 0.345382 + 0.153774i 0.572094 0.820188i \(-0.306131\pi\)
−0.226713 + 0.973962i \(0.572798\pi\)
\(762\) −1.15796 0.246132i −0.0419485 0.00891642i
\(763\) −58.0908 + 12.3476i −2.10303 + 0.447013i
\(764\) −9.71464 + 4.32524i −0.351463 + 0.156482i
\(765\) 19.4245 + 21.5731i 0.702294 + 0.779976i
\(766\) −2.73818 26.0521i −0.0989345 0.941299i
\(767\) −34.2404 + 24.8771i −1.23635 + 0.898260i
\(768\) 0.0646021 0.614648i 0.00233113 0.0221792i
\(769\) −1.63414 2.83041i −0.0589285 0.102067i 0.835056 0.550165i \(-0.185435\pi\)
−0.893985 + 0.448098i \(0.852102\pi\)
\(770\) −12.5449 + 21.7284i −0.452088 + 0.783039i
\(771\) 2.07416 + 1.50697i 0.0746992 + 0.0542721i
\(772\) −1.54759 + 1.71877i −0.0556988 + 0.0618598i