Properties

Label 507.2.t.b.4.1
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.60202 - 0.104858i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(4.76600 + 0.384751i) q^{4} +(-0.705070 - 0.267398i) q^{5} +(0.824645 - 2.47011i) q^{6} +(0.861409 + 2.02180i) q^{7} +(-7.19059 - 0.873096i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(-2.60202 - 0.104858i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(4.76600 + 0.384751i) q^{4} +(-0.705070 - 0.267398i) q^{5} +(0.824645 - 2.47011i) q^{6} +(0.861409 + 2.02180i) q^{7} +(-7.19059 - 0.873096i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(1.80657 + 0.769706i) q^{10} +(-2.17645 - 3.44179i) q^{11} +(-1.69554 + 4.47078i) q^{12} +(0.939825 - 3.48091i) q^{13} +(-2.02940 - 5.35109i) q^{14} +(0.453003 - 0.602838i) q^{15} +(9.17934 + 1.49179i) q^{16} +(3.69987 - 1.57637i) q^{17} +(2.14316 + 1.47932i) q^{18} +(-6.05425 + 3.49542i) q^{19} +(-3.25748 - 1.54569i) q^{20} +(-2.18164 + 0.264899i) q^{21} +(5.30228 + 9.18382i) q^{22} +(0.272907 - 0.472689i) q^{23} +(2.83917 - 6.66378i) q^{24} +(-3.31693 - 2.93855i) q^{25} +(-2.81044 + 8.95885i) q^{26} +(0.748511 - 0.663123i) q^{27} +(3.32758 + 9.96733i) q^{28} +(-0.236814 + 5.87648i) q^{29} +(-1.24194 + 1.52109i) q^{30} +(-4.18685 - 4.72598i) q^{31} +(-9.53437 - 1.94646i) q^{32} +(3.91143 - 1.13296i) q^{33} +(-9.79244 + 3.71378i) q^{34} +(-0.0667285 - 1.65585i) q^{35} +(-3.82254 - 2.87245i) q^{36} +(9.47866 - 1.93508i) q^{37} +(16.1198 - 8.46033i) q^{38} +(3.08200 + 1.87117i) q^{39} +(4.83641 + 2.53834i) q^{40} +(-1.15890 - 0.335681i) q^{41} +(5.70444 - 0.460510i) q^{42} +(2.26922 - 11.1154i) q^{43} +(-9.04875 - 17.2409i) q^{44} +(0.453003 + 0.602838i) q^{45} +(-0.759674 + 1.20133i) q^{46} +(-1.43072 + 0.987558i) q^{47} +(-3.98674 + 8.40188i) q^{48} +(1.50342 - 1.56522i) q^{49} +(8.32259 + 7.99396i) q^{50} +(0.484761 + 3.99237i) q^{51} +(5.81849 - 16.2284i) q^{52} +(0.291156 - 2.39789i) q^{53} +(-2.01717 + 1.64697i) q^{54} +(0.614226 + 3.00868i) q^{55} +(-4.42881 - 15.2900i) q^{56} +(-1.67302 - 6.78771i) q^{57} +(1.23239 - 15.2659i) q^{58} +(-2.22927 - 13.7173i) q^{59} +(2.39095 - 2.69883i) q^{60} +(6.88255 - 5.17190i) q^{61} +(10.3987 + 12.7361i) q^{62} +(0.352529 - 2.16920i) q^{63} +(6.54545 + 1.61331i) q^{64} +(-1.59343 + 2.20298i) q^{65} +(-10.2964 + 2.53784i) q^{66} +(0.0808096 + 1.00101i) q^{67} +(18.2401 - 6.08944i) q^{68} +(0.378098 + 0.393642i) q^{69} +4.31555i q^{70} +(-1.91691 + 1.84121i) q^{71} +(5.61078 + 4.58106i) q^{72} +(0.0218612 - 0.0416530i) q^{73} +(-24.8666 + 4.04121i) q^{74} +(3.74535 - 2.36842i) q^{75} +(-30.1994 + 14.3298i) q^{76} +(5.08379 - 7.36514i) q^{77} +(-7.82322 - 5.19199i) q^{78} +(-0.892723 - 1.29333i) q^{79} +(-6.07318 - 3.50635i) q^{80} +(0.428693 + 0.903450i) q^{81} +(2.98029 + 0.994968i) q^{82} +(3.76641 - 15.2809i) q^{83} +(-10.4996 + 0.423119i) q^{84} +(-3.03019 + 0.122112i) q^{85} +(-7.07008 + 28.6844i) q^{86} +(-5.57858 - 1.86240i) q^{87} +(12.6450 + 26.6487i) q^{88} +(3.51336 + 2.02844i) q^{89} +(-1.11551 - 1.61610i) q^{90} +(7.84728 - 1.09835i) q^{91} +(1.48254 - 2.14783i) q^{92} +(5.70424 - 2.70670i) q^{93} +(3.82633 - 2.41962i) q^{94} +(5.20334 - 0.845625i) q^{95} +(4.52223 - 8.61640i) q^{96} +(0.831809 + 0.679151i) q^{97} +(-4.07605 + 3.91509i) q^{98} +4.07220i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.60202 0.104858i −1.83991 0.0741457i −0.904238 0.427028i \(-0.859561\pi\)
−0.935668 + 0.352882i \(0.885202\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) 4.76600 + 0.384751i 2.38300 + 0.192376i
\(5\) −0.705070 0.267398i −0.315317 0.119584i 0.191869 0.981421i \(-0.438545\pi\)
−0.507186 + 0.861837i \(0.669314\pi\)
\(6\) 0.824645 2.47011i 0.336660 1.00842i
\(7\) 0.861409 + 2.02180i 0.325582 + 0.764169i 0.999674 + 0.0255218i \(0.00812474\pi\)
−0.674092 + 0.738647i \(0.735465\pi\)
\(8\) −7.19059 0.873096i −2.54226 0.308686i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) 1.80657 + 0.769706i 0.571287 + 0.243403i
\(11\) −2.17645 3.44179i −0.656226 1.03774i −0.995287 0.0969736i \(-0.969084\pi\)
0.339061 0.940764i \(-0.389891\pi\)
\(12\) −1.69554 + 4.47078i −0.489462 + 1.29060i
\(13\) 0.939825 3.48091i 0.260661 0.965431i
\(14\) −2.02940 5.35109i −0.542380 1.43014i
\(15\) 0.453003 0.602838i 0.116965 0.155652i
\(16\) 9.17934 + 1.49179i 2.29484 + 0.372947i
\(17\) 3.69987 1.57637i 0.897351 0.382326i 0.106485 0.994314i \(-0.466040\pi\)
0.790866 + 0.611989i \(0.209630\pi\)
\(18\) 2.14316 + 1.47932i 0.505147 + 0.348678i
\(19\) −6.05425 + 3.49542i −1.38894 + 0.801905i −0.993196 0.116455i \(-0.962847\pi\)
−0.395745 + 0.918361i \(0.629513\pi\)
\(20\) −3.25748 1.54569i −0.728395 0.345628i
\(21\) −2.18164 + 0.264899i −0.476072 + 0.0578056i
\(22\) 5.30228 + 9.18382i 1.13045 + 1.95800i
\(23\) 0.272907 0.472689i 0.0569050 0.0985624i −0.836170 0.548471i \(-0.815210\pi\)
0.893075 + 0.449909i \(0.148543\pi\)
\(24\) 2.83917 6.66378i 0.579544 1.36024i
\(25\) −3.31693 2.93855i −0.663386 0.587709i
\(26\) −2.81044 + 8.95885i −0.551173 + 1.75697i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 3.32758 + 9.96733i 0.628854 + 1.88365i
\(29\) −0.236814 + 5.87648i −0.0439752 + 1.09123i 0.815079 + 0.579350i \(0.196693\pi\)
−0.859054 + 0.511884i \(0.828948\pi\)
\(30\) −1.24194 + 1.52109i −0.226745 + 0.277713i
\(31\) −4.18685 4.72598i −0.751981 0.848811i 0.240571 0.970631i \(-0.422665\pi\)
−0.992552 + 0.121820i \(0.961127\pi\)
\(32\) −9.53437 1.94646i −1.68545 0.344088i
\(33\) 3.91143 1.13296i 0.680892 0.197223i
\(34\) −9.79244 + 3.71378i −1.67939 + 0.636909i
\(35\) −0.0667285 1.65585i −0.0112792 0.279890i
\(36\) −3.82254 2.87245i −0.637090 0.478742i
\(37\) 9.47866 1.93508i 1.55828 0.318126i 0.657860 0.753141i \(-0.271462\pi\)
0.900423 + 0.435015i \(0.143257\pi\)
\(38\) 16.1198 8.46033i 2.61498 1.37245i
\(39\) 3.08200 + 1.87117i 0.493515 + 0.299627i
\(40\) 4.83641 + 2.53834i 0.764703 + 0.401347i
\(41\) −1.15890 0.335681i −0.180990 0.0524245i 0.186485 0.982458i \(-0.440291\pi\)
−0.367475 + 0.930033i \(0.619778\pi\)
\(42\) 5.70444 0.460510i 0.880214 0.0710582i
\(43\) 2.26922 11.1154i 0.346052 1.69508i −0.318572 0.947899i \(-0.603203\pi\)
0.664624 0.747178i \(-0.268592\pi\)
\(44\) −9.04875 17.2409i −1.36415 2.59917i
\(45\) 0.453003 + 0.602838i 0.0675297 + 0.0898657i
\(46\) −0.759674 + 1.20133i −0.112008 + 0.177126i
\(47\) −1.43072 + 0.987558i −0.208693 + 0.144050i −0.667827 0.744317i \(-0.732775\pi\)
0.459134 + 0.888367i \(0.348160\pi\)
\(48\) −3.98674 + 8.40188i −0.575437 + 1.21271i
\(49\) 1.50342 1.56522i 0.214774 0.223603i
\(50\) 8.32259 + 7.99396i 1.17699 + 1.13052i
\(51\) 0.484761 + 3.99237i 0.0678802 + 0.559043i
\(52\) 5.81849 16.2284i 0.806879 2.25048i
\(53\) 0.291156 2.39789i 0.0399934 0.329375i −0.958956 0.283554i \(-0.908487\pi\)
0.998950 0.0458210i \(-0.0145904\pi\)
\(54\) −2.01717 + 1.64697i −0.274503 + 0.224124i
\(55\) 0.614226 + 3.00868i 0.0828222 + 0.405690i
\(56\) −4.42881 15.2900i −0.591825 2.04322i
\(57\) −1.67302 6.78771i −0.221597 0.899054i
\(58\) 1.23239 15.2659i 0.161821 2.00451i
\(59\) −2.22927 13.7173i −0.290226 1.78584i −0.565787 0.824551i \(-0.691428\pi\)
0.275560 0.961284i \(-0.411137\pi\)
\(60\) 2.39095 2.69883i 0.308671 0.348417i
\(61\) 6.88255 5.17190i 0.881221 0.662194i −0.0606539 0.998159i \(-0.519319\pi\)
0.941875 + 0.335964i \(0.109062\pi\)
\(62\) 10.3987 + 12.7361i 1.32064 + 1.61749i
\(63\) 0.352529 2.16920i 0.0444145 0.273293i
\(64\) 6.54545 + 1.61331i 0.818181 + 0.201664i
\(65\) −1.59343 + 2.20298i −0.197641 + 0.273246i
\(66\) −10.2964 + 2.53784i −1.26740 + 0.312386i
\(67\) 0.0808096 + 1.00101i 0.00987246 + 0.122292i 0.999816 0.0191688i \(-0.00610201\pi\)
−0.989944 + 0.141461i \(0.954820\pi\)
\(68\) 18.2401 6.08944i 2.21194 0.738453i
\(69\) 0.378098 + 0.393642i 0.0455177 + 0.0473890i
\(70\) 4.31555i 0.515807i
\(71\) −1.91691 + 1.84121i −0.227495 + 0.218512i −0.797802 0.602920i \(-0.794004\pi\)
0.570307 + 0.821432i \(0.306824\pi\)
\(72\) 5.61078 + 4.58106i 0.661236 + 0.539883i
\(73\) 0.0218612 0.0416530i 0.00255866 0.00487511i −0.884173 0.467159i \(-0.845278\pi\)
0.886732 + 0.462284i \(0.152970\pi\)
\(74\) −24.8666 + 4.04121i −2.89068 + 0.469781i
\(75\) 3.74535 2.36842i 0.432476 0.273481i
\(76\) −30.1994 + 14.3298i −3.46411 + 1.64374i
\(77\) 5.08379 7.36514i 0.579352 0.839336i
\(78\) −7.82322 5.19199i −0.885805 0.587877i
\(79\) −0.892723 1.29333i −0.100439 0.145511i 0.769542 0.638596i \(-0.220485\pi\)
−0.869981 + 0.493085i \(0.835869\pi\)
\(80\) −6.07318 3.50635i −0.679002 0.392022i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) 2.98029 + 0.994968i 0.329118 + 0.109876i
\(83\) 3.76641 15.2809i 0.413417 1.67730i −0.282571 0.959246i \(-0.591187\pi\)
0.695988 0.718053i \(-0.254967\pi\)
\(84\) −10.4996 + 0.423119i −1.14560 + 0.0461661i
\(85\) −3.03019 + 0.122112i −0.328670 + 0.0132449i
\(86\) −7.07008 + 28.6844i −0.762387 + 3.09312i
\(87\) −5.57858 1.86240i −0.598086 0.199670i
\(88\) 12.6450 + 26.6487i 1.34796 + 2.84077i
\(89\) 3.51336 + 2.02844i 0.372415 + 0.215014i 0.674513 0.738263i \(-0.264354\pi\)
−0.302098 + 0.953277i \(0.597687\pi\)
\(90\) −1.11551 1.61610i −0.117585 0.170352i
\(91\) 7.84728 1.09835i 0.822618 0.115138i
\(92\) 1.48254 2.14783i 0.154566 0.223927i
\(93\) 5.70424 2.70670i 0.591503 0.280671i
\(94\) 3.82633 2.41962i 0.394655 0.249565i
\(95\) 5.20334 0.845625i 0.533851 0.0867593i
\(96\) 4.52223 8.61640i 0.461549 0.879407i
\(97\) 0.831809 + 0.679151i 0.0844574 + 0.0689573i 0.673734 0.738974i \(-0.264690\pi\)
−0.589276 + 0.807932i \(0.700587\pi\)
\(98\) −4.07605 + 3.91509i −0.411743 + 0.395484i
\(99\) 4.07220i 0.409272i
\(100\) −14.6779 15.2813i −1.46779 1.52813i
\(101\) −4.43996 + 1.48227i −0.441792 + 0.147492i −0.528857 0.848711i \(-0.677379\pi\)
0.0870653 + 0.996203i \(0.472251\pi\)
\(102\) −0.842728 10.4391i −0.0834425 1.03362i
\(103\) −13.3840 + 3.29886i −1.31877 + 0.325047i −0.835048 0.550177i \(-0.814560\pi\)
−0.483718 + 0.875224i \(0.660714\pi\)
\(104\) −9.79706 + 24.2092i −0.960681 + 2.37391i
\(105\) 1.60904 + 0.396592i 0.157026 + 0.0387035i
\(106\) −1.00903 + 6.20882i −0.0980057 + 0.603054i
\(107\) 8.58131 + 10.5102i 0.829586 + 1.01606i 0.999532 + 0.0306054i \(0.00974352\pi\)
−0.169945 + 0.985454i \(0.554359\pi\)
\(108\) 3.82254 2.87245i 0.367824 0.276402i
\(109\) 5.52397 6.23528i 0.529101 0.597231i −0.421815 0.906682i \(-0.638607\pi\)
0.950915 + 0.309451i \(0.100145\pi\)
\(110\) −1.28275 7.89305i −0.122305 0.752573i
\(111\) −0.778447 + 9.64280i −0.0738870 + 0.915254i
\(112\) 4.89107 + 19.8438i 0.462163 + 1.87507i
\(113\) 1.72759 + 5.96433i 0.162518 + 0.561077i 0.999896 + 0.0144524i \(0.00460050\pi\)
−0.837378 + 0.546625i \(0.815912\pi\)
\(114\) 3.64149 + 17.8372i 0.341056 + 1.67060i
\(115\) −0.318814 + 0.260304i −0.0297296 + 0.0242735i
\(116\) −3.38964 + 27.9162i −0.314720 + 2.59195i
\(117\) −2.65476 + 2.43973i −0.245432 + 0.225553i
\(118\) 4.36225 + 35.9263i 0.401577 + 3.30729i
\(119\) 6.37421 + 6.12251i 0.584323 + 0.561250i
\(120\) −3.78370 + 3.93924i −0.345403 + 0.359602i
\(121\) −2.39333 + 5.04383i −0.217575 + 0.458530i
\(122\) −18.4509 + 12.7357i −1.67046 + 1.15304i
\(123\) 0.644855 1.01976i 0.0581446 0.0919483i
\(124\) −18.1362 24.1349i −1.62868 2.16738i
\(125\) 3.30508 + 6.29731i 0.295616 + 0.563248i
\(126\) −1.14475 + 5.60734i −0.101982 + 0.499541i
\(127\) 5.78607 0.467100i 0.513431 0.0414484i 0.178963 0.983856i \(-0.442726\pi\)
0.334467 + 0.942407i \(0.391444\pi\)
\(128\) 1.83144 + 0.530482i 0.161878 + 0.0468885i
\(129\) 10.0452 + 5.27211i 0.884428 + 0.464184i
\(130\) 4.37713 5.56511i 0.383900 0.488092i
\(131\) 7.06568 3.70835i 0.617331 0.324000i −0.126907 0.991915i \(-0.540505\pi\)
0.744238 + 0.667914i \(0.232813\pi\)
\(132\) 19.0778 3.89475i 1.66051 0.338995i
\(133\) −12.2822 9.22950i −1.06501 0.800299i
\(134\) −0.105305 2.61311i −0.00909695 0.225738i
\(135\) −0.705070 + 0.267398i −0.0606827 + 0.0230139i
\(136\) −27.9806 + 8.10468i −2.39932 + 0.694971i
\(137\) −17.0576 3.48232i −1.45733 0.297515i −0.594941 0.803769i \(-0.702825\pi\)
−0.862384 + 0.506254i \(0.831030\pi\)
\(138\) −0.942543 1.06391i −0.0802346 0.0905662i
\(139\) −4.29925 + 5.26563i −0.364658 + 0.446625i −0.924046 0.382281i \(-0.875139\pi\)
0.559388 + 0.828906i \(0.311036\pi\)
\(140\) 0.319062 7.91745i 0.0269657 0.669147i
\(141\) −0.550515 1.64899i −0.0463617 0.138870i
\(142\) 5.18089 4.58987i 0.434771 0.385174i
\(143\) −14.0260 + 4.34136i −1.17292 + 0.363043i
\(144\) −6.96098 6.16689i −0.580082 0.513908i
\(145\) 1.73833 4.08000i 0.144360 0.338826i
\(146\) −0.0612508 + 0.106090i −0.00506915 + 0.00878003i
\(147\) 1.08515 + 1.87953i 0.0895015 + 0.155021i
\(148\) 45.9198 5.57568i 3.77459 0.458318i
\(149\) 8.13907 + 3.86204i 0.666779 + 0.316390i 0.731826 0.681492i \(-0.238668\pi\)
−0.0650471 + 0.997882i \(0.520720\pi\)
\(150\) −9.99383 + 5.76994i −0.815993 + 0.471114i
\(151\) −16.9546 11.7029i −1.37975 0.952372i −0.999624 0.0274367i \(-0.991266\pi\)
−0.380125 0.924935i \(-0.624119\pi\)
\(152\) 46.5855 19.8482i 3.77858 1.60990i
\(153\) −3.96961 0.645125i −0.320924 0.0521552i
\(154\) −14.0004 + 18.6312i −1.12819 + 1.50134i
\(155\) 1.68831 + 4.45170i 0.135608 + 0.357569i
\(156\) 13.9689 + 10.1038i 1.11841 + 0.808951i
\(157\) 2.02074 5.32825i 0.161272 0.425241i −0.829884 0.557935i \(-0.811594\pi\)
0.991157 + 0.132695i \(0.0423630\pi\)
\(158\) 2.18727 + 3.45889i 0.174010 + 0.275174i
\(159\) 2.22221 + 0.946794i 0.176233 + 0.0750857i
\(160\) 6.20192 + 3.92186i 0.490305 + 0.310050i
\(161\) 1.19077 + 0.144585i 0.0938456 + 0.0113949i
\(162\) −1.02073 2.39575i −0.0801963 0.188228i
\(163\) −6.27883 + 18.8074i −0.491796 + 1.47311i 0.351771 + 0.936086i \(0.385580\pi\)
−0.843567 + 0.537024i \(0.819549\pi\)
\(164\) −5.39418 2.04574i −0.421215 0.159746i
\(165\) −3.06078 0.247092i −0.238281 0.0192361i
\(166\) −11.4026 + 39.3663i −0.885014 + 3.05542i
\(167\) 13.3475 + 0.537887i 1.03286 + 0.0416229i 0.550902 0.834570i \(-0.314284\pi\)
0.481961 + 0.876193i \(0.339925\pi\)
\(168\) 15.9185 1.22814
\(169\) −11.2335 6.54289i −0.864112 0.503299i
\(170\) 7.89741 0.605704
\(171\) 6.98518 + 0.281493i 0.534170 + 0.0215263i
\(172\) 15.0917 52.1027i 1.15073 3.97280i
\(173\) 0.173951 + 0.0140427i 0.0132252 + 0.00106765i 0.0870774 0.996202i \(-0.472247\pi\)
−0.0738522 + 0.997269i \(0.523529\pi\)
\(174\) 14.3203 + 5.43096i 1.08562 + 0.411720i
\(175\) 3.08392 9.23747i 0.233122 0.698287i
\(176\) −14.8440 34.8402i −1.11891 2.62618i
\(177\) 13.7959 + 1.67513i 1.03696 + 0.125910i
\(178\) −8.92913 5.64644i −0.669267 0.423219i
\(179\) −18.1213 7.72078i −1.35445 0.577078i −0.411929 0.911216i \(-0.635145\pi\)
−0.942524 + 0.334138i \(0.891555\pi\)
\(180\) 1.92707 + 3.04742i 0.143635 + 0.227141i
\(181\) 2.70448 7.13114i 0.201023 0.530053i −0.796158 0.605089i \(-0.793138\pi\)
0.997181 + 0.0750352i \(0.0239069\pi\)
\(182\) −20.5339 + 2.03507i −1.52208 + 0.150850i
\(183\) 3.05286 + 8.04973i 0.225674 + 0.595053i
\(184\) −2.37506 + 3.16064i −0.175092 + 0.233005i
\(185\) −7.20056 1.17020i −0.529395 0.0860351i
\(186\) −15.1264 + 6.44475i −1.10912 + 0.472552i
\(187\) −13.4781 9.30328i −0.985619 0.680323i
\(188\) −7.19879 + 4.15623i −0.525026 + 0.303124i
\(189\) 1.98548 + 0.942120i 0.144422 + 0.0685291i
\(190\) −13.6279 + 1.65472i −0.988669 + 0.120046i
\(191\) 3.20330 + 5.54828i 0.231783 + 0.401460i 0.958333 0.285654i \(-0.0922108\pi\)
−0.726550 + 0.687114i \(0.758877\pi\)
\(192\) −3.37067 + 5.83817i −0.243257 + 0.421334i
\(193\) −7.37891 + 17.3189i −0.531145 + 1.24664i 0.411060 + 0.911608i \(0.365159\pi\)
−0.942205 + 0.335036i \(0.891252\pi\)
\(194\) −2.09317 1.85439i −0.150281 0.133137i
\(195\) −1.67268 2.14342i −0.119783 0.153494i
\(196\) 7.76750 6.88141i 0.554822 0.491529i
\(197\) −6.72905 20.1560i −0.479425 1.43605i −0.859518 0.511105i \(-0.829236\pi\)
0.380093 0.924948i \(-0.375892\pi\)
\(198\) 0.427003 10.5960i 0.0303457 0.753022i
\(199\) −0.372910 + 0.456731i −0.0264349 + 0.0323768i −0.787653 0.616119i \(-0.788704\pi\)
0.761218 + 0.648496i \(0.224602\pi\)
\(200\) 21.2851 + 24.0259i 1.50508 + 1.69889i
\(201\) −0.983967 0.200878i −0.0694037 0.0141689i
\(202\) 11.7083 3.39134i 0.823792 0.238614i
\(203\) −12.0851 + 4.58326i −0.848205 + 0.321682i
\(204\) 0.774303 + 19.2141i 0.0542121 + 1.34526i
\(205\) 0.727348 + 0.546567i 0.0508002 + 0.0381739i
\(206\) 35.1714 7.18029i 2.45051 0.500275i
\(207\) −0.483294 + 0.253652i −0.0335913 + 0.0176301i
\(208\) 13.8198 30.5504i 0.958228 2.11829i
\(209\) 25.2073 + 13.2298i 1.74363 + 0.915125i
\(210\) −4.14517 1.20066i −0.286044 0.0828535i
\(211\) −8.09058 + 0.653140i −0.556979 + 0.0449640i −0.355751 0.934581i \(-0.615775\pi\)
−0.201227 + 0.979545i \(0.564493\pi\)
\(212\) 2.31024 11.3163i 0.158668 0.777206i
\(213\) −1.23520 2.35348i −0.0846347 0.161258i
\(214\) −21.2267 28.2476i −1.45102 1.93096i
\(215\) −4.57218 + 7.23032i −0.311820 + 0.493104i
\(216\) −5.96120 + 4.11472i −0.405609 + 0.279971i
\(217\) 5.94840 12.5360i 0.403804 0.850998i
\(218\) −15.0273 + 15.6451i −1.01778 + 1.05962i
\(219\) 0.0339263 + 0.0325866i 0.00229253 + 0.00220200i
\(220\) 1.76981 + 14.5757i 0.119320 + 0.982693i
\(221\) −2.00996 14.3604i −0.135205 0.965987i
\(222\) 3.03666 25.0091i 0.203807 1.67850i
\(223\) −7.47300 + 6.10152i −0.500429 + 0.408588i −0.848756 0.528785i \(-0.822648\pi\)
0.348326 + 0.937373i \(0.386750\pi\)
\(224\) −4.27765 20.9533i −0.285812 1.40000i
\(225\) 1.23289 + 4.25642i 0.0821924 + 0.283761i
\(226\) −3.86982 15.7005i −0.257416 1.04438i
\(227\) 1.77389 21.9736i 0.117737 1.45844i −0.620665 0.784076i \(-0.713137\pi\)
0.738402 0.674361i \(-0.235581\pi\)
\(228\) −5.36203 32.9939i −0.355109 2.18507i
\(229\) 0.805499 0.909221i 0.0532289 0.0600830i −0.721293 0.692630i \(-0.756452\pi\)
0.774522 + 0.632547i \(0.217990\pi\)
\(230\) 0.856856 0.643886i 0.0564994 0.0424566i
\(231\) 5.65995 + 6.93219i 0.372398 + 0.456104i
\(232\) 6.83356 42.0486i 0.448645 2.76062i
\(233\) 4.73551 + 1.16720i 0.310234 + 0.0764658i 0.391359 0.920238i \(-0.372005\pi\)
−0.0811250 + 0.996704i \(0.525851\pi\)
\(234\) 7.16356 6.06984i 0.468296 0.396798i
\(235\) 1.27283 0.313725i 0.0830304 0.0204651i
\(236\) −5.34697 66.2342i −0.348058 4.31148i
\(237\) 1.49064 0.497649i 0.0968275 0.0323258i
\(238\) −15.9438 16.5993i −1.03348 1.07597i
\(239\) 3.75000i 0.242568i 0.992618 + 0.121284i \(0.0387011\pi\)
−0.992618 + 0.121284i \(0.961299\pi\)
\(240\) 5.05758 4.85787i 0.326465 0.313574i
\(241\) 21.5136 + 17.5653i 1.38581 + 1.13148i 0.975616 + 0.219486i \(0.0704379\pi\)
0.410198 + 0.911996i \(0.365460\pi\)
\(242\) 6.75637 12.8732i 0.434316 0.827520i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) 34.7921 22.0012i 2.22734 1.40848i
\(245\) −1.47855 + 0.701581i −0.0944611 + 0.0448224i
\(246\) −1.78485 + 2.58581i −0.113798 + 0.164865i
\(247\) 6.47732 + 24.3594i 0.412142 + 1.54995i
\(248\) 25.9797 + 37.6381i 1.64971 + 2.39002i
\(249\) 13.6297 + 7.86913i 0.863749 + 0.498686i
\(250\) −7.93957 16.7323i −0.502142 1.05824i
\(251\) −9.36793 3.12748i −0.591299 0.197405i 0.00524341 0.999986i \(-0.498331\pi\)
−0.596542 + 0.802582i \(0.703459\pi\)
\(252\) 2.51476 10.2028i 0.158415 0.642714i
\(253\) −2.22086 + 0.0894977i −0.139624 + 0.00562667i
\(254\) −15.1045 + 0.608689i −0.947738 + 0.0381925i
\(255\) 0.725760 2.94452i 0.0454488 0.184393i
\(256\) −17.4986 5.84190i −1.09366 0.365119i
\(257\) −2.81665 5.93597i −0.175698 0.370276i 0.796428 0.604733i \(-0.206720\pi\)
−0.972127 + 0.234457i \(0.924669\pi\)
\(258\) −25.5849 14.7715i −1.59285 0.919631i
\(259\) 12.0774 + 17.4971i 0.750451 + 1.08722i
\(260\) −8.44188 + 9.88631i −0.523543 + 0.613123i
\(261\) 3.34093 4.84017i 0.206798 0.299599i
\(262\) −18.7739 + 8.90832i −1.15985 + 0.550358i
\(263\) −14.8681 + 9.40203i −0.916808 + 0.579754i −0.907431 0.420202i \(-0.861959\pi\)
−0.00937708 + 0.999956i \(0.502985\pi\)
\(264\) −29.1147 + 4.73159i −1.79188 + 0.291209i
\(265\) −0.846474 + 1.61282i −0.0519985 + 0.0990749i
\(266\) 30.9908 + 25.3032i 1.90017 + 1.55144i
\(267\) −2.92583 + 2.81030i −0.179058 + 0.171987i
\(268\) 4.80189i 0.293322i
\(269\) −3.07679 3.20327i −0.187595 0.195307i 0.620763 0.783998i \(-0.286823\pi\)
−0.808358 + 0.588691i \(0.799643\pi\)
\(270\) 1.86264 0.621842i 0.113357 0.0378441i
\(271\) 1.49591 + 18.5302i 0.0908703 + 1.12563i 0.868092 + 0.496404i \(0.165346\pi\)
−0.777221 + 0.629227i \(0.783371\pi\)
\(272\) 36.3140 8.95060i 2.20186 0.542710i
\(273\) −1.12827 + 7.84303i −0.0682859 + 0.474682i
\(274\) 44.0190 + 10.8497i 2.65928 + 0.655454i
\(275\) −2.89470 + 17.8118i −0.174557 + 1.07409i
\(276\) 1.65056 + 2.02157i 0.0993522 + 0.121684i
\(277\) −14.0085 + 10.5267i −0.841690 + 0.632489i −0.931610 0.363460i \(-0.881595\pi\)
0.0899194 + 0.995949i \(0.471339\pi\)
\(278\) 11.7389 13.2505i 0.704052 0.794710i
\(279\) 1.01281 + 6.23208i 0.0606355 + 0.373105i
\(280\) −0.965898 + 11.9648i −0.0577235 + 0.715034i
\(281\) −6.36711 25.8324i −0.379830 1.54103i −0.780706 0.624898i \(-0.785140\pi\)
0.400876 0.916132i \(-0.368706\pi\)
\(282\) 1.25954 + 4.34844i 0.0750045 + 0.258946i
\(283\) 0.675244 + 3.30757i 0.0401391 + 0.196614i 0.994916 0.100709i \(-0.0321111\pi\)
−0.954777 + 0.297324i \(0.903906\pi\)
\(284\) −9.84438 + 8.03769i −0.584157 + 0.476949i
\(285\) −0.635422 + 5.23317i −0.0376391 + 0.309986i
\(286\) 36.9512 9.82557i 2.18497 0.580998i
\(287\) −0.319611 2.63223i −0.0188660 0.155376i
\(288\) 7.01804 + 6.74092i 0.413542 + 0.397213i
\(289\) −0.572187 + 0.595710i −0.0336581 + 0.0350418i
\(290\) −4.95098 + 10.4340i −0.290732 + 0.612704i
\(291\) −0.883760 + 0.610016i −0.0518069 + 0.0357598i
\(292\) 0.120216 0.190107i 0.00703513 0.0111252i
\(293\) 17.0939 + 22.7479i 0.998637 + 1.32894i 0.943824 + 0.330448i \(0.107200\pi\)
0.0548132 + 0.998497i \(0.482544\pi\)
\(294\) −2.62649 5.00436i −0.153180 0.291860i
\(295\) −2.09617 + 10.2677i −0.122044 + 0.597810i
\(296\) −69.8467 + 5.63861i −4.05976 + 0.327738i
\(297\) −3.91143 1.13296i −0.226964 0.0657409i
\(298\) −20.7731 10.9025i −1.20335 0.631567i
\(299\) −1.38890 1.39421i −0.0803222 0.0806292i
\(300\) 18.7616 9.84685i 1.08320 0.568508i
\(301\) 24.4278 4.98697i 1.40799 0.287444i
\(302\) 42.8892 + 32.2291i 2.46799 + 1.85458i
\(303\) −0.188479 4.67705i −0.0108278 0.268690i
\(304\) −60.7885 + 23.0540i −3.48646 + 1.32224i
\(305\) −6.23564 + 1.80617i −0.357052 + 0.103421i
\(306\) 10.2614 + 2.09487i 0.586603 + 0.119756i
\(307\) 19.4755 + 21.9833i 1.11153 + 1.25465i 0.964088 + 0.265582i \(0.0855641\pi\)
0.147438 + 0.989071i \(0.452897\pi\)
\(308\) 27.0631 33.1463i 1.54206 1.88868i
\(309\) 0.555049 13.7734i 0.0315756 0.783541i
\(310\) −3.92621 11.7604i −0.222994 0.667949i
\(311\) −20.6299 + 18.2765i −1.16981 + 1.03636i −0.171120 + 0.985250i \(0.554739\pi\)
−0.998693 + 0.0511134i \(0.983723\pi\)
\(312\) −20.5277 16.1457i −1.16215 0.914070i
\(313\) −18.5662 16.4482i −1.04942 0.929707i −0.0518021 0.998657i \(-0.516496\pi\)
−0.997620 + 0.0689505i \(0.978035\pi\)
\(314\) −5.81671 + 13.6523i −0.328256 + 0.770445i
\(315\) −0.828597 + 1.43517i −0.0466861 + 0.0808628i
\(316\) −3.75711 6.50750i −0.211354 0.366075i
\(317\) 7.81791 0.949266i 0.439097 0.0533161i 0.101997 0.994785i \(-0.467477\pi\)
0.337101 + 0.941469i \(0.390554\pi\)
\(318\) −5.68295 2.69659i −0.318684 0.151217i
\(319\) 20.7410 11.9748i 1.16127 0.670461i
\(320\) −4.18360 2.88773i −0.233871 0.161429i
\(321\) −12.4827 + 5.31838i −0.696717 + 0.296843i
\(322\) −3.08324 0.501075i −0.171822 0.0279238i
\(323\) −16.8899 + 22.4764i −0.939779 + 1.25062i
\(324\) 1.69554 + 4.47078i 0.0941969 + 0.248377i
\(325\) −13.3461 + 8.78422i −0.740311 + 0.487261i
\(326\) 18.3098 48.2789i 1.01408 2.67392i
\(327\) 4.45223 + 7.04064i 0.246209 + 0.389348i
\(328\) 8.04012 + 3.42558i 0.443942 + 0.189146i
\(329\) −3.22908 2.04195i −0.178025 0.112576i
\(330\) 7.93830 + 0.963884i 0.436989 + 0.0530601i
\(331\) 0.126404 + 0.296681i 0.00694779 + 0.0163071i 0.923417 0.383798i \(-0.125384\pi\)
−0.916469 + 0.400105i \(0.868974\pi\)
\(332\) 23.8301 71.3798i 1.30784 3.91747i
\(333\) −9.04551 3.43051i −0.495691 0.187991i
\(334\) −34.6741 2.79919i −1.89728 0.153165i
\(335\) 0.210690 0.727387i 0.0115112 0.0397414i
\(336\) −20.4212 0.822944i −1.11407 0.0448953i
\(337\) −10.0331 −0.546540 −0.273270 0.961937i \(-0.588105\pi\)
−0.273270 + 0.961937i \(0.588105\pi\)
\(338\) 28.5436 + 18.2026i 1.55257 + 0.990094i
\(339\) −6.20950 −0.337254
\(340\) −14.4889 0.583881i −0.785768 0.0316654i
\(341\) −7.15332 + 24.6961i −0.387374 + 1.33737i
\(342\) −18.1461 1.46490i −0.981226 0.0792128i
\(343\) 18.8436 + 7.14642i 1.01746 + 0.385870i
\(344\) −26.0218 + 77.9448i −1.40300 + 4.20250i
\(345\) −0.161327 0.378648i −0.00868554 0.0203857i
\(346\) −0.451151 0.0547796i −0.0242540 0.00294497i
\(347\) 5.23035 + 3.30747i 0.280780 + 0.177554i 0.667431 0.744672i \(-0.267394\pi\)
−0.386651 + 0.922226i \(0.626368\pi\)
\(348\) −25.8709 11.0226i −1.38683 0.590872i
\(349\) −3.13105 4.95135i −0.167601 0.265040i 0.750936 0.660375i \(-0.229603\pi\)
−0.918537 + 0.395335i \(0.870628\pi\)
\(350\) −8.99304 + 23.7127i −0.480698 + 1.26750i
\(351\) −1.60480 3.22872i −0.0856579 0.172336i
\(352\) 14.0518 + 37.0516i 0.748965 + 1.97486i
\(353\) 19.9243 26.5145i 1.06047 1.41122i 0.154440 0.988002i \(-0.450643\pi\)
0.906026 0.423222i \(-0.139101\pi\)
\(354\) −35.7216 5.80532i −1.89858 0.308549i
\(355\) 1.84389 0.785608i 0.0978635 0.0416957i
\(356\) 15.9642 + 11.0193i 0.846102 + 0.584022i
\(357\) −7.65420 + 4.41915i −0.405103 + 0.233886i
\(358\) 46.3425 + 21.9898i 2.44928 + 1.16220i
\(359\) −20.1741 + 2.44958i −1.06475 + 0.129284i −0.634113 0.773241i \(-0.718634\pi\)
−0.430638 + 0.902525i \(0.641711\pi\)
\(360\) −2.73103 4.73027i −0.143938 0.249307i
\(361\) 14.9360 25.8699i 0.786104 1.36157i
\(362\) −7.78488 + 18.2718i −0.409164 + 0.960343i
\(363\) −4.17882 3.70212i −0.219331 0.194311i
\(364\) 37.8227 2.21547i 1.98245 0.116122i
\(365\) −0.0265516 + 0.0235226i −0.00138977 + 0.00123123i
\(366\) −7.09953 21.2657i −0.371098 1.11157i
\(367\) 0.845652 20.9846i 0.0441427 1.09539i −0.813638 0.581372i \(-0.802516\pi\)
0.857780 0.514016i \(-0.171843\pi\)
\(368\) 3.21026 3.93185i 0.167346 0.204962i
\(369\) 0.800084 + 0.903108i 0.0416507 + 0.0470139i
\(370\) 18.6133 + 3.79993i 0.967659 + 0.197549i
\(371\) 5.09885 1.47690i 0.264719 0.0766768i
\(372\) 28.2278 10.7054i 1.46354 0.555049i
\(373\) −0.944226 23.4307i −0.0488902 1.21320i −0.818433 0.574602i \(-0.805157\pi\)
0.769543 0.638595i \(-0.220484\pi\)
\(374\) 34.0948 + 25.6206i 1.76300 + 1.32481i
\(375\) −6.96821 + 1.42257i −0.359837 + 0.0734612i
\(376\) 11.1500 5.85196i 0.575017 0.301792i
\(377\) 20.2329 + 6.34719i 1.04205 + 0.326897i
\(378\) −5.06746 2.65961i −0.260642 0.136795i
\(379\) −16.2738 4.71377i −0.835929 0.242130i −0.167469 0.985877i \(-0.553559\pi\)
−0.668461 + 0.743748i \(0.733046\pi\)
\(380\) 25.1245 2.02826i 1.28886 0.104047i
\(381\) −1.16113 + 5.68758i −0.0594864 + 0.291384i
\(382\) −7.75328 14.7726i −0.396692 0.755834i
\(383\) 22.9530 + 30.5449i 1.17285 + 1.56077i 0.759931 + 0.650004i \(0.225233\pi\)
0.412915 + 0.910770i \(0.364511\pi\)
\(384\) −1.01908 + 1.61154i −0.0520045 + 0.0822385i
\(385\) −5.55385 + 3.83355i −0.283050 + 0.195376i
\(386\) 21.0161 44.2905i 1.06969 2.25433i
\(387\) −7.85870 + 8.18177i −0.399480 + 0.415903i
\(388\) 3.70310 + 3.55687i 0.187996 + 0.180573i
\(389\) −4.42636 36.4544i −0.224426 1.84831i −0.474715 0.880140i \(-0.657449\pi\)
0.250289 0.968171i \(-0.419474\pi\)
\(390\) 4.12759 + 5.75263i 0.209009 + 0.291296i
\(391\) 0.264589 2.17909i 0.0133809 0.110201i
\(392\) −12.1770 + 9.94225i −0.615033 + 0.502159i
\(393\) 1.59615 + 7.81844i 0.0805149 + 0.394388i
\(394\) 15.3956 + 53.1518i 0.775620 + 2.67775i
\(395\) 0.283598 + 1.15060i 0.0142694 + 0.0578931i
\(396\) −1.56679 + 19.4081i −0.0787339 + 0.975295i
\(397\) −4.42977 27.2575i −0.222324 1.36801i −0.822782 0.568358i \(-0.807579\pi\)
0.600458 0.799657i \(-0.294985\pi\)
\(398\) 1.01821 1.14932i 0.0510383 0.0576103i
\(399\) 12.2822 9.22950i 0.614881 0.462053i
\(400\) −26.0636 31.9221i −1.30318 1.59610i
\(401\) 0.883496 5.43637i 0.0441197 0.271479i −0.955612 0.294627i \(-0.904805\pi\)
0.999732 + 0.0231475i \(0.00736873\pi\)
\(402\) 2.53924 + 0.625866i 0.126646 + 0.0312154i
\(403\) −20.3856 + 10.1325i −1.01548 + 0.504734i
\(404\) −21.7311 + 5.35624i −1.08116 + 0.266483i
\(405\) −0.0606776 0.751627i −0.00301509 0.0373486i
\(406\) 31.9262 10.6585i 1.58447 0.528973i
\(407\) −27.2900 28.4119i −1.35272 1.40833i
\(408\) 29.1307i 1.44219i
\(409\) −20.5198 + 19.7096i −1.01464 + 0.974575i −0.999680 0.0253131i \(-0.991942\pi\)
−0.0149605 + 0.999888i \(0.504762\pi\)
\(410\) −1.83526 1.49845i −0.0906371 0.0740029i
\(411\) 8.09055 15.4152i 0.399077 0.760378i
\(412\) −65.0575 + 10.5729i −3.20515 + 0.520888i
\(413\) 25.8133 16.3233i 1.27019 0.803218i
\(414\) 1.28414 0.609331i 0.0631120 0.0299470i
\(415\) −6.74167 + 9.76699i −0.330935 + 0.479443i
\(416\) −15.7361 + 31.3590i −0.771525 + 1.53750i
\(417\) −3.86161 5.59450i −0.189104 0.273964i
\(418\) −64.2027 37.0674i −3.14025 1.81303i
\(419\) −3.07962 6.49015i −0.150449 0.317065i 0.814208 0.580573i \(-0.197172\pi\)
−0.964657 + 0.263509i \(0.915120\pi\)
\(420\) 7.51609 + 2.50924i 0.366748 + 0.122438i
\(421\) −1.48065 + 6.00721i −0.0721622 + 0.292774i −0.995924 0.0901933i \(-0.971252\pi\)
0.923762 + 0.382967i \(0.125098\pi\)
\(422\) 21.1204 0.851121i 1.02812 0.0414319i
\(423\) 1.73705 0.0700007i 0.0844583 0.00340355i
\(424\) −4.18717 + 16.9880i −0.203347 + 0.825011i
\(425\) −16.9045 5.64354i −0.819987 0.273752i
\(426\) 2.96724 + 6.25333i 0.143763 + 0.302975i
\(427\) 16.3853 + 9.46003i 0.792938 + 0.457803i
\(428\) 36.8547 + 53.3933i 1.78144 + 2.58086i
\(429\) −0.267670 14.6801i −0.0129232 0.708762i
\(430\) 12.6551 18.3340i 0.610281 0.884145i
\(431\) 22.3380 10.5995i 1.07598 0.510560i 0.193595 0.981082i \(-0.437985\pi\)
0.882389 + 0.470521i \(0.155934\pi\)
\(432\) 7.86008 4.97041i 0.378168 0.239139i
\(433\) −26.3504 + 4.28236i −1.26632 + 0.205797i −0.756220 0.654317i \(-0.772956\pi\)
−0.510101 + 0.860114i \(0.670392\pi\)
\(434\) −16.7923 + 31.9951i −0.806059 + 1.53582i
\(435\) 3.43528 + 2.80482i 0.164709 + 0.134481i
\(436\) 28.7263 27.5920i 1.37574 1.32142i
\(437\) 3.81570i 0.182530i
\(438\) −0.0848599 0.0883485i −0.00405476 0.00422145i
\(439\) 29.0148 9.68657i 1.38480 0.462315i 0.475965 0.879464i \(-0.342099\pi\)
0.908838 + 0.417150i \(0.136971\pi\)
\(440\) −1.78978 22.1705i −0.0853246 1.05694i
\(441\) −2.10723 + 0.519386i −0.100344 + 0.0247326i
\(442\) 3.72416 + 37.5769i 0.177140 + 1.78735i
\(443\) −10.3463 2.55014i −0.491569 0.121161i −0.0142635 0.999898i \(-0.504540\pi\)
−0.477306 + 0.878737i \(0.658387\pi\)
\(444\) −7.42016 + 45.6581i −0.352145 + 2.16684i
\(445\) −1.93476 2.36966i −0.0917166 0.112332i
\(446\) 20.0847 15.0927i 0.951038 0.714659i
\(447\) −5.97399 + 6.74324i −0.282560 + 0.318944i
\(448\) 2.37652 + 14.6233i 0.112280 + 0.690887i
\(449\) −1.41130 + 17.4821i −0.0666034 + 0.825031i 0.874088 + 0.485768i \(0.161460\pi\)
−0.940691 + 0.339263i \(0.889822\pi\)
\(450\) −2.76168 11.2046i −0.130187 0.528188i
\(451\) 1.36696 + 4.71929i 0.0643676 + 0.222223i
\(452\) 5.93891 + 29.0907i 0.279343 + 1.36831i
\(453\) 15.9580 13.0293i 0.749770 0.612169i
\(454\) −6.91980 + 56.9897i −0.324762 + 2.67466i
\(455\) −5.82658 1.32393i −0.273154 0.0620669i
\(456\) 6.10368 + 50.2683i 0.285831 + 2.35403i
\(457\) 30.4537 + 29.2512i 1.42456 + 1.36831i 0.820899 + 0.571074i \(0.193473\pi\)
0.603665 + 0.797238i \(0.293706\pi\)
\(458\) −2.19126 + 2.28135i −0.102391 + 0.106600i
\(459\) 1.72407 3.63340i 0.0804727 0.169593i
\(460\) −1.61962 + 1.11794i −0.0755152 + 0.0521244i
\(461\) −5.11863 + 8.09446i −0.238398 + 0.376997i −0.943101 0.332506i \(-0.892106\pi\)
0.704703 + 0.709502i \(0.251080\pi\)
\(462\) −14.0004 18.6312i −0.651359 0.866801i
\(463\) −2.30290 4.38782i −0.107025 0.203919i 0.826054 0.563591i \(-0.190581\pi\)
−0.933079 + 0.359672i \(0.882888\pi\)
\(464\) −10.9403 + 53.5889i −0.507889 + 2.48780i
\(465\) −4.74566 + 0.383109i −0.220075 + 0.0177663i
\(466\) −12.1995 3.53363i −0.565132 0.163692i
\(467\) −3.73610 1.96085i −0.172886 0.0907375i 0.376060 0.926595i \(-0.377279\pi\)
−0.548946 + 0.835858i \(0.684971\pi\)
\(468\) −13.5913 + 10.6063i −0.628256 + 0.490277i
\(469\) −1.95422 + 1.02566i −0.0902377 + 0.0473604i
\(470\) −3.34483 + 0.682852i −0.154285 + 0.0314976i
\(471\) 4.55568 + 3.42337i 0.209914 + 0.157740i
\(472\) 4.05330 + 100.582i 0.186568 + 4.62964i
\(473\) −43.1956 + 16.3819i −1.98613 + 0.753241i
\(474\) −3.93086 + 1.13859i −0.180550 + 0.0522971i
\(475\) 30.3530 + 6.19661i 1.39269 + 0.284320i
\(476\) 28.0238 + 31.6324i 1.28447 + 1.44987i
\(477\) −1.52767 + 1.87106i −0.0699472 + 0.0856698i
\(478\) 0.393217 9.75759i 0.0179853 0.446302i
\(479\) −5.37105 16.0883i −0.245409 0.735091i −0.997137 0.0756172i \(-0.975907\pi\)
0.751727 0.659474i \(-0.229221\pi\)
\(480\) −5.49250 + 4.86593i −0.250697 + 0.222098i
\(481\) 2.17244 34.8130i 0.0990546 1.58734i
\(482\) −54.1370 47.9612i −2.46587 2.18457i
\(483\) −0.470169 + 1.10353i −0.0213934 + 0.0502122i
\(484\) −13.3472 + 23.1181i −0.606692 + 1.05082i
\(485\) −0.404880 0.701272i −0.0183846 0.0318431i
\(486\) 2.58515 0.313893i 0.117265 0.0142385i
\(487\) 36.6665 + 17.3985i 1.66152 + 0.788400i 0.999233 + 0.0391479i \(0.0124643\pi\)
0.662285 + 0.749252i \(0.269587\pi\)
\(488\) −54.0052 + 31.1799i −2.44470 + 1.41145i
\(489\) −16.3180 11.2635i −0.737924 0.509352i
\(490\) 3.92078 1.67049i 0.177123 0.0754650i
\(491\) 6.21228 + 1.00959i 0.280356 + 0.0455623i 0.298963 0.954265i \(-0.403359\pi\)
−0.0186073 + 0.999827i \(0.505923\pi\)
\(492\) 3.46573 4.61205i 0.156247 0.207927i
\(493\) 8.38731 + 22.1155i 0.377746 + 0.996033i
\(494\) −14.2998 64.0628i −0.643380 2.88232i
\(495\) 1.08890 2.87119i 0.0489423 0.129050i
\(496\) −31.3824 49.6273i −1.40911 2.22833i
\(497\) −5.37381 2.28957i −0.241048 0.102701i
\(498\) −34.6397 21.9048i −1.55224 0.981578i
\(499\) −32.0625 3.89309i −1.43531 0.174279i −0.634376 0.773025i \(-0.718743\pi\)
−0.800939 + 0.598746i \(0.795666\pi\)
\(500\) 13.3291 + 31.2846i 0.596097 + 1.39909i
\(501\) −4.23017 + 12.6709i −0.188990 + 0.566094i
\(502\) 24.0476 + 9.12006i 1.07330 + 0.407048i
\(503\) −33.7710 2.72628i −1.50577 0.121559i −0.700155 0.713991i \(-0.746886\pi\)
−0.805620 + 0.592432i \(0.798168\pi\)
\(504\) −4.42881 + 15.2900i −0.197275 + 0.681072i
\(505\) 3.52684 + 0.142127i 0.156942 + 0.00632455i
\(506\) 5.78811 0.257313
\(507\) 9.40991 8.96959i 0.417909 0.398354i
\(508\) 27.7561 1.23148
\(509\) −26.8974 1.08393i −1.19221 0.0480443i −0.563788 0.825919i \(-0.690657\pi\)
−0.628419 + 0.777875i \(0.716298\pi\)
\(510\) −2.19720 + 7.58561i −0.0972936 + 0.335896i
\(511\) 0.103045 + 0.00831869i 0.00455846 + 0.000367997i
\(512\) 41.3536 + 15.6833i 1.82759 + 0.693112i
\(513\) −2.21378 + 6.63107i −0.0977407 + 0.292769i
\(514\) 6.70656 + 15.7409i 0.295814 + 0.694300i
\(515\) 10.3188 + 1.25293i 0.454700 + 0.0552105i
\(516\) 45.8468 + 28.9918i 2.01829 + 1.27629i
\(517\) 6.51287 + 2.77487i 0.286436 + 0.122039i
\(518\) −29.5908 46.7941i −1.30015 2.05602i
\(519\) −0.0618844 + 0.163176i −0.00271642 + 0.00716262i
\(520\) 13.3811 14.4495i 0.586800 0.633652i
\(521\) 4.32352 + 11.4002i 0.189417 + 0.499451i 0.995759 0.0919978i \(-0.0293253\pi\)
−0.806342 + 0.591449i \(0.798556\pi\)
\(522\) −9.20069 + 12.2439i −0.402703 + 0.535901i
\(523\) 15.2955 + 2.48577i 0.668827 + 0.108695i 0.485338 0.874327i \(-0.338697\pi\)
0.183489 + 0.983022i \(0.441261\pi\)
\(524\) 35.1018 14.9555i 1.53343 0.653333i
\(525\) 8.01475 + 5.53218i 0.349792 + 0.241444i
\(526\) 39.6730 22.9052i 1.72983 0.998716i
\(527\) −22.9407 10.8855i −0.999313 0.474180i
\(528\) 37.5945 4.56479i 1.63609 0.198657i
\(529\) 11.3510 + 19.6606i 0.493524 + 0.854808i
\(530\) 2.37166 4.10784i 0.103018 0.178433i
\(531\) −5.44725 + 12.7852i −0.236390 + 0.554829i
\(532\) −54.9861 48.7134i −2.38395 2.11199i
\(533\) −2.25764 + 3.71856i −0.0977893 + 0.161069i
\(534\) 7.90775 7.00566i 0.342202 0.303164i
\(535\) −3.24002 9.70504i −0.140078 0.419586i
\(536\) 0.292906 7.26838i 0.0126516 0.313946i
\(537\) 12.4576 15.2578i 0.537586 0.658424i
\(538\) 7.66997 + 8.65761i 0.330676 + 0.373256i
\(539\) −8.65928 1.76780i −0.372982 0.0761447i
\(540\) −3.46324 + 1.00314i −0.149034 + 0.0431683i
\(541\) 0.856623 0.324874i 0.0368291 0.0139674i −0.336122 0.941819i \(-0.609115\pi\)
0.372951 + 0.927851i \(0.378346\pi\)
\(542\) −1.94936 48.3729i −0.0837322 2.07779i
\(543\) 6.09715 + 4.58171i 0.261654 + 0.196620i
\(544\) −38.3443 + 7.82805i −1.64400 + 0.335625i
\(545\) −5.56209 + 2.91921i −0.238254 + 0.125045i
\(546\) 3.75818 20.2894i 0.160835 0.868307i
\(547\) 14.2814 + 7.49544i 0.610627 + 0.320482i 0.741537 0.670912i \(-0.234097\pi\)
−0.130909 + 0.991394i \(0.541790\pi\)
\(548\) −79.9565 23.1597i −3.41557 0.989332i
\(549\) −8.58127 + 0.692752i −0.366240 + 0.0295659i
\(550\) 9.39976 46.0431i 0.400807 1.96328i
\(551\) −19.1070 36.4054i −0.813987 1.55092i
\(552\) −2.37506 3.16064i −0.101089 0.134526i
\(553\) 1.84586 2.91900i 0.0784940 0.124128i
\(554\) 37.5543 25.9218i 1.59553 1.10131i
\(555\) 3.12732 6.59069i 0.132747 0.279759i
\(556\) −22.5162 + 23.4418i −0.954900 + 0.994156i
\(557\) 4.12160 + 3.95885i 0.174638 + 0.167742i 0.774947 0.632026i \(-0.217776\pi\)
−0.600309 + 0.799768i \(0.704956\pi\)
\(558\) −1.98187 16.3222i −0.0838994 0.690974i
\(559\) −36.5589 18.3454i −1.54628 0.775929i
\(560\) 1.85765 15.2992i 0.0785002 0.646507i
\(561\) 12.6858 10.3577i 0.535596 0.437300i
\(562\) 13.8586 + 67.8840i 0.584591 + 2.86351i
\(563\) 6.78858 + 23.4369i 0.286105 + 0.987748i 0.966875 + 0.255251i \(0.0821580\pi\)
−0.680770 + 0.732497i \(0.738355\pi\)
\(564\) −1.98930 8.07091i −0.0837646 0.339847i
\(565\) 0.376777 4.66723i 0.0158511 0.196352i
\(566\) −1.41018 8.67716i −0.0592741 0.364728i
\(567\) −1.45732 + 1.64497i −0.0612016 + 0.0690823i
\(568\) 15.3912 11.5658i 0.645802 0.485289i
\(569\) 3.83169 + 4.69296i 0.160633 + 0.196739i 0.848650 0.528955i \(-0.177416\pi\)
−0.688017 + 0.725694i \(0.741519\pi\)
\(570\) 2.20212 13.5502i 0.0922366 0.567555i
\(571\) 23.2559 + 5.73206i 0.973228 + 0.239879i 0.693704 0.720260i \(-0.255977\pi\)
0.279523 + 0.960139i \(0.409824\pi\)
\(572\) −68.5184 + 15.2944i −2.86490 + 0.639491i
\(573\) −6.22044 + 1.53320i −0.259863 + 0.0640504i
\(574\) 0.555624 + 6.88263i 0.0231913 + 0.287276i
\(575\) −2.29423 + 0.765927i −0.0956760 + 0.0319413i
\(576\) −4.66989 4.86187i −0.194579 0.202578i
\(577\) 30.8395i 1.28386i −0.766762 0.641932i \(-0.778133\pi\)
0.766762 0.641932i \(-0.221867\pi\)
\(578\) 1.55131 1.49005i 0.0645259 0.0619780i
\(579\) −14.5822 11.9060i −0.606016 0.494797i
\(580\) 9.85465 18.7765i 0.409192 0.779650i
\(581\) 34.1394 5.54820i 1.41634 0.230178i
\(582\) 2.36353 1.49460i 0.0979714 0.0619533i
\(583\) −8.88670 + 4.21679i −0.368049 + 0.174642i
\(584\) −0.193562 + 0.280423i −0.00800964 + 0.0116040i
\(585\) 2.52417 1.01030i 0.104361 0.0417708i
\(586\) −42.0934 60.9829i −1.73886 2.51918i
\(587\) 17.3978 + 10.0446i 0.718084 + 0.414586i 0.814047 0.580799i \(-0.197260\pi\)
−0.0959634 + 0.995385i \(0.530593\pi\)
\(588\) 4.44866 + 9.37535i 0.183460 + 0.386633i
\(589\) 41.8676 + 13.9774i 1.72512 + 0.575931i
\(590\) 6.53093 26.4970i 0.268874 1.09087i
\(591\) 21.2323 0.855633i 0.873381 0.0351960i
\(592\) 89.8946 3.62263i 3.69465 0.148889i
\(593\) 2.66753 10.8226i 0.109542 0.444431i −0.890400 0.455179i \(-0.849575\pi\)
0.999942 + 0.0107481i \(0.00342129\pi\)
\(594\) 10.0588 + 3.35812i 0.412718 + 0.137786i
\(595\) −2.85712 6.02125i −0.117130 0.246847i
\(596\) 37.3049 + 21.5380i 1.52807 + 0.882230i
\(597\) −0.334949 0.485257i −0.0137085 0.0198603i
\(598\) 3.46776 + 3.77340i 0.141807 + 0.154306i
\(599\) 18.9986 27.5243i 0.776264 1.12461i −0.212796 0.977097i \(-0.568257\pi\)
0.989060 0.147515i \(-0.0471276\pi\)
\(600\) −28.9992 + 13.7603i −1.18389 + 0.561761i
\(601\) −6.52216 + 4.12436i −0.266044 + 0.168236i −0.660827 0.750538i \(-0.729794\pi\)
0.394783 + 0.918775i \(0.370820\pi\)
\(602\) −64.0845 + 10.4147i −2.61189 + 0.424473i
\(603\) 0.466704 0.889230i 0.0190057 0.0362123i
\(604\) −76.3031 62.2995i −3.10473 2.53493i
\(605\) 3.03617 2.91628i 0.123438 0.118564i
\(606\) 12.1895i 0.495166i
\(607\) −12.6748 13.1959i −0.514454 0.535604i 0.412411 0.910998i \(-0.364687\pi\)
−0.926865 + 0.375394i \(0.877507\pi\)
\(608\) 64.5272 21.5423i 2.61692 0.873657i
\(609\) −1.04003 12.8831i −0.0421441 0.522048i
\(610\) 16.4146 4.04585i 0.664610 0.163812i
\(611\) 2.09297 + 5.90835i 0.0846724 + 0.239026i
\(612\) −18.6710 4.60198i −0.754729 0.186024i
\(613\) 2.05952 12.6727i 0.0831833 0.511847i −0.911703 0.410849i \(-0.865232\pi\)
0.994887 0.100998i \(-0.0322036\pi\)
\(614\) −48.3705 59.2432i −1.95208 2.39086i
\(615\) −0.727348 + 0.546567i −0.0293295 + 0.0220397i
\(616\) −42.9859 + 48.5211i −1.73195 + 1.95497i
\(617\) −3.62832 22.3260i −0.146071 0.898809i −0.951843 0.306584i \(-0.900814\pi\)
0.805773 0.592225i \(-0.201750\pi\)
\(618\) −2.88850 + 35.7804i −0.116192 + 1.43930i
\(619\) 4.39536 + 17.8327i 0.176665 + 0.716756i 0.990714 + 0.135961i \(0.0434122\pi\)
−0.814050 + 0.580795i \(0.802742\pi\)
\(620\) 6.33367 + 21.8664i 0.254366 + 0.878175i
\(621\) −0.109177 0.534783i −0.00438111 0.0214601i
\(622\) 55.5958 45.3925i 2.22919 1.82008i
\(623\) −1.07466 + 8.85063i −0.0430554 + 0.354593i
\(624\) 25.4994 + 21.7738i 1.02079 + 0.871649i
\(625\) 2.02429 + 16.6715i 0.0809715 + 0.666860i
\(626\) 46.5848 + 44.7453i 1.86190 + 1.78838i
\(627\) −19.7206 + 20.5313i −0.787564 + 0.819941i
\(628\) 11.6809 24.6170i 0.466118 0.982323i
\(629\) 32.0195 22.1014i 1.27670 0.881242i
\(630\) 2.30651 3.64746i 0.0918937 0.145318i
\(631\) 17.9869 + 23.9363i 0.716049 + 0.952888i 0.999982 0.00595622i \(-0.00189593\pi\)
−0.283934 + 0.958844i \(0.591640\pi\)
\(632\) 5.29000 + 10.0793i 0.210425 + 0.400932i
\(633\) 1.62359 7.95287i 0.0645319 0.316098i
\(634\) −20.4419 + 1.65024i −0.811851 + 0.0655394i
\(635\) −4.20449 1.21784i −0.166850 0.0483287i
\(636\) 10.2268 + 5.36742i 0.405517 + 0.212832i
\(637\) −4.03545 6.70429i −0.159890 0.265634i
\(638\) −55.2241 + 28.9839i −2.18634 + 1.14748i
\(639\) 2.60422 0.531654i 0.103021 0.0210319i
\(640\) −1.14944 0.863749i −0.0454357 0.0341427i
\(641\) 1.83693 + 45.5830i 0.0725545 + 1.80042i 0.469866 + 0.882738i \(0.344302\pi\)
−0.397311 + 0.917684i \(0.630057\pi\)
\(642\) 33.0379 12.5296i 1.30390 0.494505i
\(643\) 42.1222 12.2009i 1.66114 0.481155i 0.690829 0.723018i \(-0.257246\pi\)
0.970310 + 0.241864i \(0.0777587\pi\)
\(644\) 5.61956 + 1.14724i 0.221442 + 0.0452077i
\(645\) −5.67280 6.40326i −0.223366 0.252128i
\(646\) 46.3047 56.7129i 1.82183 2.23134i
\(647\) 1.63618 40.6014i 0.0643249 1.59621i −0.569012 0.822330i \(-0.692674\pi\)
0.633336 0.773877i \(-0.281685\pi\)
\(648\) −2.29375 6.87063i −0.0901072 0.269904i
\(649\) −42.3600 + 37.5277i −1.66277 + 1.47309i
\(650\) 35.6480 21.4573i 1.39823 0.841623i
\(651\) 10.3861 + 9.20127i 0.407063 + 0.360626i
\(652\) −37.1611 + 87.2203i −1.45534 + 3.41581i
\(653\) −0.199676 + 0.345849i −0.00781393 + 0.0135341i −0.869906 0.493218i \(-0.835821\pi\)
0.862092 + 0.506752i \(0.169154\pi\)
\(654\) −10.8465 18.7867i −0.424133 0.734620i
\(655\) −5.97340 + 0.725302i −0.233400 + 0.0283399i
\(656\) −10.1372 4.81017i −0.395792 0.187805i
\(657\) −0.0407389 + 0.0235206i −0.00158938 + 0.000917627i
\(658\) 8.18803 + 5.65179i 0.319203 + 0.220330i
\(659\) −8.66269 + 3.69083i −0.337450 + 0.143774i −0.554043 0.832488i \(-0.686916\pi\)
0.216593 + 0.976262i \(0.430506\pi\)
\(660\) −14.4926 2.35528i −0.564124 0.0916790i
\(661\) 9.99535 13.3014i 0.388774 0.517364i −0.562047 0.827105i \(-0.689986\pi\)
0.950821 + 0.309741i \(0.100242\pi\)
\(662\) −0.297796 0.785224i −0.0115742 0.0305186i
\(663\) 14.3527 + 2.06472i 0.557411 + 0.0801870i
\(664\) −40.4244 + 106.590i −1.56877 + 4.13651i
\(665\) 6.19189 + 9.79169i 0.240111 + 0.379705i
\(666\) 23.1769 + 9.87475i 0.898086 + 0.382639i
\(667\) 2.71311 + 1.71567i 0.105052 + 0.0664310i
\(668\) 63.4074 + 7.69905i 2.45330 + 0.297885i
\(669\) −3.78150 8.87550i −0.146201 0.343147i
\(670\) −0.624493 + 1.87058i −0.0241263 + 0.0722670i
\(671\) −32.7802 12.4319i −1.26546 0.479927i
\(672\) 21.3161 + 1.72082i 0.822288 + 0.0663819i
\(673\) −3.79979 + 13.1184i −0.146471 + 0.505678i −0.999879 0.0155667i \(-0.995045\pi\)
0.853408 + 0.521244i \(0.174532\pi\)
\(674\) 26.1064 + 1.05205i 1.00558 + 0.0405236i
\(675\) −4.43137 −0.170564
\(676\) −51.0213 35.5055i −1.96236 1.36560i
\(677\) 41.4768 1.59408 0.797041 0.603926i \(-0.206398\pi\)
0.797041 + 0.603926i \(0.206398\pi\)
\(678\) 16.1572 + 0.651114i 0.620515 + 0.0250059i
\(679\) −0.656580 + 2.26678i −0.0251972 + 0.0869910i
\(680\) 21.8955 + 1.76758i 0.839652 + 0.0677837i
\(681\) 20.6125 + 7.81729i 0.789872 + 0.299559i
\(682\) 21.2027 63.5098i 0.811892 2.43191i
\(683\) 12.8642 + 30.1934i 0.492235 + 1.15532i 0.962129 + 0.272595i \(0.0878820\pi\)
−0.469894 + 0.882723i \(0.655708\pi\)
\(684\) 33.1830 + 4.02915i 1.26879 + 0.154058i
\(685\) 11.0956 + 7.01643i 0.423941 + 0.268084i
\(686\) −48.2819 20.5710i −1.84341 0.785405i
\(687\) 0.649219 + 1.02666i 0.0247693 + 0.0391694i
\(688\) 37.4117 98.6465i 1.42631 3.76086i
\(689\) −8.07319 3.26708i −0.307564 0.124466i
\(690\) 0.380071 + 1.00217i 0.0144691 + 0.0381518i
\(691\) −5.90378 + 7.85650i −0.224590 + 0.298875i −0.897647 0.440716i \(-0.854725\pi\)
0.673056 + 0.739591i \(0.264981\pi\)
\(692\) 0.823646 + 0.133855i 0.0313103 + 0.00508842i
\(693\) −8.23319 + 3.50783i −0.312753 + 0.133252i
\(694\) −13.2627 9.15455i −0.503443 0.347502i
\(695\) 4.43929 2.56303i 0.168392 0.0972211i
\(696\) 38.4872 + 18.2624i 1.45885 + 0.692235i
\(697\) −4.81695 + 0.584884i −0.182455 + 0.0221541i
\(698\) 7.62786 + 13.2118i 0.288719 + 0.500076i
\(699\) −2.43862 + 4.22381i −0.0922370 + 0.159759i
\(700\) 18.2521 42.8392i 0.689864 1.61917i
\(701\) −11.9240 10.5638i −0.450364 0.398988i 0.407221 0.913330i \(-0.366498\pi\)
−0.857585 + 0.514342i \(0.828036\pi\)
\(702\) 3.83717 + 8.56946i 0.144825 + 0.323434i
\(703\) −50.6223 + 44.8474i −1.90926 + 1.69145i
\(704\) −8.69321 26.0393i −0.327638 0.981394i
\(705\) −0.0527856 + 1.30986i −0.00198802 + 0.0493322i
\(706\) −54.6238 + 66.9020i −2.05579 + 2.51789i
\(707\) −6.82148 7.69986i −0.256548 0.289583i
\(708\) 65.1067 + 13.2916i 2.44686 + 0.499530i
\(709\) 13.1509 3.80920i 0.493891 0.143057i −0.0219198 0.999760i \(-0.506978\pi\)
0.515811 + 0.856702i \(0.327491\pi\)
\(710\) −4.88021 + 1.85082i −0.183151 + 0.0694601i
\(711\) 0.0632786 + 1.57024i 0.00237313 + 0.0588887i
\(712\) −23.4921 17.6532i −0.880404 0.661581i
\(713\) −3.37654 + 0.689325i −0.126452 + 0.0258154i
\(714\) 20.3798 10.6961i 0.762693 0.400292i
\(715\) 11.0502 + 0.689566i 0.413254 + 0.0257883i
\(716\) −83.3957 43.7695i −3.11664 1.63574i
\(717\) −3.60195 1.04332i −0.134517 0.0389634i
\(718\) 52.7504 4.25845i 1.96863 0.158924i
\(719\) 0.254895 1.24856i 0.00950598 0.0465634i −0.974761 0.223251i \(-0.928333\pi\)
0.984267 + 0.176688i \(0.0565382\pi\)
\(720\) 3.25896 + 6.20944i 0.121454 + 0.231412i
\(721\) −18.1988 24.2182i −0.677757 0.901931i
\(722\) −41.5764 + 65.7477i −1.54731 + 2.44688i
\(723\) −22.8573 + 15.7772i −0.850071 + 0.586762i
\(724\) 15.6333 32.9464i 0.581006 1.22445i
\(725\) 18.0538 18.7960i 0.670501 0.698065i
\(726\) 10.4852 + 10.0712i 0.389142 + 0.373776i
\(727\) −3.78694 31.1883i −0.140450 1.15671i −0.877057 0.480387i \(-0.840496\pi\)
0.736607 0.676321i \(-0.236427\pi\)
\(728\) −57.3855 + 1.04634i −2.12685 + 0.0387799i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) 0.0715542 0.0584222i 0.00264834 0.00216230i
\(731\) −9.12609 44.7026i −0.337541 1.65338i
\(732\) 11.4528 + 39.5396i 0.423307 + 1.46143i
\(733\) −11.0168 44.6969i −0.406914 1.65092i −0.714678 0.699453i \(-0.753427\pi\)
0.307764 0.951463i \(-0.400419\pi\)
\(734\) −4.40081 + 54.5138i −0.162437 + 2.01214i
\(735\) −0.262523 1.61537i −0.00968329 0.0595837i
\(736\) −3.52206 + 3.97559i −0.129825 + 0.146542i
\(737\) 3.26937 2.45677i 0.120429 0.0904964i
\(738\) −1.98714 2.43380i −0.0731475 0.0895895i
\(739\) 0.227471 1.39969i 0.00836766 0.0514883i −0.982531 0.186101i \(-0.940415\pi\)
0.990898 + 0.134613i \(0.0429790\pi\)
\(740\) −33.8676 8.34762i −1.24500 0.306864i
\(741\) −25.1997 0.555627i −0.925735 0.0204115i
\(742\) −13.4222 + 3.30827i −0.492744 + 0.121450i
\(743\) 3.61596 + 44.7917i 0.132657 + 1.64325i 0.630650 + 0.776067i \(0.282788\pi\)
−0.497994 + 0.867181i \(0.665930\pi\)
\(744\) −43.3801 + 14.4824i −1.59039 + 0.530951i
\(745\) −4.70591 4.89937i −0.172411 0.179499i
\(746\) 61.0662i 2.23579i
\(747\) −11.3505 + 10.9023i −0.415292 + 0.398893i
\(748\) −60.6573 49.5252i −2.21785 1.81082i
\(749\) −13.8575 + 26.4033i −0.506342 + 0.964755i
\(750\) 18.2806 2.97089i 0.667513 0.108481i
\(751\) 0.196934 0.124533i 0.00718622 0.00454429i −0.530868 0.847455i \(-0.678134\pi\)
0.538054 + 0.842910i \(0.319160\pi\)
\(752\) −14.6063 + 6.93079i −0.532638 + 0.252740i
\(753\) 5.61032 8.12795i 0.204451 0.296199i
\(754\) −51.9809 18.6371i −1.89303 0.678723i
\(755\) 8.82486 + 12.7850i 0.321170 + 0.465295i
\(756\) 9.10029 + 5.25406i 0.330975 + 0.191088i
\(757\) 18.0565 + 38.0533i 0.656274 + 1.38307i 0.909517 + 0.415666i \(0.136452\pi\)
−0.253243 + 0.967403i \(0.581497\pi\)
\(758\) 41.8505 + 13.9717i 1.52008 + 0.507477i
\(759\) 0.531919 2.15808i 0.0193074 0.0783333i
\(760\) −38.1534 + 1.53753i −1.38397 + 0.0557720i
\(761\) −2.66265 + 0.107301i −0.0965210 + 0.00388966i −0.0884794 0.996078i \(-0.528201\pi\)
−0.00804154 + 0.999968i \(0.502560\pi\)
\(762\) 3.61767 14.6774i 0.131054 0.531708i
\(763\) 17.3649 + 5.79725i 0.628651 + 0.209875i
\(764\) 13.1322 + 27.6756i 0.475107 + 1.00127i
\(765\) 2.62635 + 1.51632i 0.0949558 + 0.0548228i
\(766\) −56.5214 81.8854i −2.04220 2.95864i
\(767\) −49.8437 5.13193i −1.79975 0.185303i
\(768\) 10.4797 15.1824i 0.378153 0.547849i
\(769\) 12.6014 5.97942i 0.454416 0.215623i −0.187706 0.982225i \(-0.560105\pi\)
0.642123 + 0.766602i \(0.278054\pi\)
\(770\) 14.8532 9.39260i 0.535272 0.338486i
\(771\) 6.48525 1.05396i 0.233561 0.0379573i
\(772\) −41.8313 + 79.7030i −1.50554 + 2.86857i
\(773\) 14.7070 + 12.0079i 0.528975 + 0.431895i