Properties

Label 300.2.w.a.67.6
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.6
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28400 + 0.592739i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.29732 - 1.52216i) q^{4} +(-1.17964 - 1.89959i) q^{5} +(-1.36092 + 0.384580i) q^{6} +(1.39751 - 1.39751i) q^{7} +(-0.763519 + 2.72342i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-1.28400 + 0.592739i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.29732 - 1.52216i) q^{4} +(-1.17964 - 1.89959i) q^{5} +(-1.36092 + 0.384580i) q^{6} +(1.39751 - 1.39751i) q^{7} +(-0.763519 + 2.72342i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.64062 + 1.73986i) q^{10} +(-1.17837 + 0.382876i) q^{11} +(1.51947 - 1.30047i) q^{12} +(-2.63087 - 5.16338i) q^{13} +(-0.966046 + 2.62276i) q^{14} +(-0.867952 - 2.06074i) q^{15} +(-0.633921 - 3.94945i) q^{16} +(-0.916613 - 5.78726i) q^{17} +(-1.40432 + 0.166950i) q^{18} +(3.68988 + 2.68086i) q^{19} +(-4.42185 - 0.668790i) q^{20} +(1.59892 - 1.16169i) q^{21} +(1.28609 - 1.19008i) q^{22} +(0.0552946 - 0.108522i) q^{23} +(-1.18016 + 2.57045i) q^{24} +(-2.21691 + 4.48166i) q^{25} +(6.43858 + 5.07037i) q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.314211 - 3.94025i) q^{28} +(3.15410 + 4.34124i) q^{29} +(2.33593 + 2.13153i) q^{30} +(6.30517 - 8.67832i) q^{31} +(3.15495 + 4.69535i) q^{32} +(-1.22376 + 0.193825i) q^{33} +(4.60727 + 6.88754i) q^{34} +(-4.30325 - 1.00615i) q^{35} +(1.70420 - 1.04676i) q^{36} +(-3.90325 + 1.98881i) q^{37} +(-6.32687 - 1.25509i) q^{38} +(-1.79075 - 5.51137i) q^{39} +(6.07408 - 1.76227i) q^{40} +(1.88978 - 5.81615i) q^{41} +(-1.36444 + 2.43935i) q^{42} +(6.87625 + 6.87625i) q^{43} +(-0.945929 + 2.29038i) q^{44} +(-0.534894 - 2.17115i) q^{45} +(-0.00667324 + 0.172117i) q^{46} +(0.721759 - 4.55701i) q^{47} +(-0.00828624 - 3.99999i) q^{48} +3.09393i q^{49} +(0.190064 - 7.06851i) q^{50} -5.85940i q^{51} +(-11.2726 - 2.69396i) q^{52} +(0.00324925 - 0.0205149i) q^{53} +(-1.41315 - 0.0547899i) q^{54} +(2.11736 + 1.78677i) q^{55} +(2.73899 + 4.87304i) q^{56} +(3.22508 + 3.22508i) q^{57} +(-6.62309 - 3.70460i) q^{58} +(-2.84365 + 8.75185i) q^{59} +(-4.26278 - 1.35228i) q^{60} +(0.217081 + 0.668108i) q^{61} +(-2.95186 + 14.8803i) q^{62} +(1.76096 - 0.897256i) q^{63} +(-6.83408 - 4.15877i) q^{64} +(-6.70485 + 11.0885i) q^{65} +(1.45642 - 0.974242i) q^{66} +(-7.05089 + 1.11675i) q^{67} +(-9.99826 - 6.11271i) q^{68} +(0.0715904 - 0.0985357i) q^{69} +(6.12177 - 1.25881i) q^{70} +(4.63594 + 6.38083i) q^{71} +(-1.56773 + 2.35419i) q^{72} +(-4.73873 - 2.41450i) q^{73} +(3.83294 - 4.86724i) q^{74} +(-2.89071 + 4.07968i) q^{75} +(8.86765 - 2.13865i) q^{76} +(-1.11171 + 2.18186i) q^{77} +(5.56613 + 6.01516i) q^{78} +(-10.1840 + 7.39910i) q^{79} +(-6.75455 + 5.86311i) q^{80} +(0.809017 + 0.587785i) q^{81} +(1.02098 + 8.58809i) q^{82} +(0.455567 + 2.87634i) q^{83} +(0.306048 - 3.94089i) q^{84} +(-9.91218 + 8.56806i) q^{85} +(-12.9049 - 4.75329i) q^{86} +(2.43614 + 4.78120i) q^{87} +(-0.143025 - 3.50154i) q^{88} +(9.16320 - 2.97730i) q^{89} +(1.97373 + 2.47071i) q^{90} +(-10.8925 - 3.53920i) q^{91} +(-0.0934523 - 0.224954i) q^{92} +(7.58513 - 7.58513i) q^{93} +(1.77438 + 6.27902i) q^{94} +(0.739818 - 10.1717i) q^{95} +(2.38159 + 5.13108i) q^{96} +(-7.28707 - 1.15416i) q^{97} +(-1.83390 - 3.97261i) q^{98} -1.23901 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28400 + 0.592739i −0.907926 + 0.419130i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) 1.29732 1.52216i 0.648660 0.761078i
\(5\) −1.17964 1.89959i −0.527550 0.849524i
\(6\) −1.36092 + 0.384580i −0.555593 + 0.157004i
\(7\) 1.39751 1.39751i 0.528209 0.528209i −0.391829 0.920038i \(-0.628158\pi\)
0.920038 + 0.391829i \(0.128158\pi\)
\(8\) −0.763519 + 2.72342i −0.269945 + 0.962876i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 2.64062 + 1.73986i 0.835037 + 0.550193i
\(11\) −1.17837 + 0.382876i −0.355293 + 0.115442i −0.481225 0.876597i \(-0.659808\pi\)
0.125932 + 0.992039i \(0.459808\pi\)
\(12\) 1.51947 1.30047i 0.438632 0.375414i
\(13\) −2.63087 5.16338i −0.729673 1.43206i −0.895111 0.445844i \(-0.852904\pi\)
0.165438 0.986220i \(-0.447096\pi\)
\(14\) −0.966046 + 2.62276i −0.258187 + 0.700963i
\(15\) −0.867952 2.06074i −0.224104 0.532081i
\(16\) −0.633921 3.94945i −0.158480 0.987362i
\(17\) −0.916613 5.78726i −0.222311 1.40362i −0.806132 0.591735i \(-0.798443\pi\)
0.583821 0.811882i \(-0.301557\pi\)
\(18\) −1.40432 + 0.166950i −0.331002 + 0.0393506i
\(19\) 3.68988 + 2.68086i 0.846518 + 0.615031i 0.924184 0.381948i \(-0.124747\pi\)
−0.0776661 + 0.996979i \(0.524747\pi\)
\(20\) −4.42185 0.668790i −0.988755 0.149546i
\(21\) 1.59892 1.16169i 0.348914 0.253501i
\(22\) 1.28609 1.19008i 0.274195 0.253726i
\(23\) 0.0552946 0.108522i 0.0115297 0.0226284i −0.885170 0.465268i \(-0.845958\pi\)
0.896700 + 0.442640i \(0.145958\pi\)
\(24\) −1.18016 + 2.57045i −0.240898 + 0.524692i
\(25\) −2.21691 + 4.48166i −0.443383 + 0.896332i
\(26\) 6.43858 + 5.07037i 1.26271 + 0.994380i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) −0.314211 3.94025i −0.0593803 0.744637i
\(29\) 3.15410 + 4.34124i 0.585701 + 0.806148i 0.994306 0.106563i \(-0.0339847\pi\)
−0.408605 + 0.912711i \(0.633985\pi\)
\(30\) 2.33593 + 2.13153i 0.426481 + 0.389162i
\(31\) 6.30517 8.67832i 1.13244 1.55867i 0.349093 0.937088i \(-0.386490\pi\)
0.783348 0.621583i \(-0.213510\pi\)
\(32\) 3.15495 + 4.69535i 0.557721 + 0.830028i
\(33\) −1.22376 + 0.193825i −0.213029 + 0.0337405i
\(34\) 4.60727 + 6.88754i 0.790140 + 1.18120i
\(35\) −4.30325 1.00615i −0.727383 0.170070i
\(36\) 1.70420 1.04676i 0.284033 0.174460i
\(37\) −3.90325 + 1.98881i −0.641691 + 0.326958i −0.744381 0.667756i \(-0.767255\pi\)
0.102690 + 0.994713i \(0.467255\pi\)
\(38\) −6.32687 1.25509i −1.02635 0.203602i
\(39\) −1.79075 5.51137i −0.286750 0.882525i
\(40\) 6.07408 1.76227i 0.960396 0.278640i
\(41\) 1.88978 5.81615i 0.295134 0.908330i −0.688042 0.725671i \(-0.741530\pi\)
0.983176 0.182659i \(-0.0584704\pi\)
\(42\) −1.36444 + 2.43935i −0.210538 + 0.376400i
\(43\) 6.87625 + 6.87625i 1.04862 + 1.04862i 0.998756 + 0.0498626i \(0.0158783\pi\)
0.0498626 + 0.998756i \(0.484122\pi\)
\(44\) −0.945929 + 2.29038i −0.142604 + 0.345288i
\(45\) −0.534894 2.17115i −0.0797374 0.323656i
\(46\) −0.00667324 + 0.172117i −0.000983915 + 0.0253773i
\(47\) 0.721759 4.55701i 0.105279 0.664708i −0.877451 0.479666i \(-0.840758\pi\)
0.982731 0.185042i \(-0.0592421\pi\)
\(48\) −0.00828624 3.99999i −0.00119602 0.577349i
\(49\) 3.09393i 0.441990i
\(50\) 0.190064 7.06851i 0.0268791 0.999639i
\(51\) 5.85940i 0.820481i
\(52\) −11.2726 2.69396i −1.56322 0.373584i
\(53\) 0.00324925 0.0205149i 0.000446318 0.00281794i −0.987464 0.157843i \(-0.949546\pi\)
0.987910 + 0.155025i \(0.0495459\pi\)
\(54\) −1.41315 0.0547899i −0.192306 0.00745596i
\(55\) 2.11736 + 1.78677i 0.285505 + 0.240929i
\(56\) 2.73899 + 4.87304i 0.366012 + 0.651187i
\(57\) 3.22508 + 3.22508i 0.427172 + 0.427172i
\(58\) −6.62309 3.70460i −0.869654 0.486438i
\(59\) −2.84365 + 8.75185i −0.370212 + 1.13939i 0.576441 + 0.817139i \(0.304441\pi\)
−0.946653 + 0.322255i \(0.895559\pi\)
\(60\) −4.26278 1.35228i −0.550323 0.174579i
\(61\) 0.217081 + 0.668108i 0.0277944 + 0.0855424i 0.963991 0.265933i \(-0.0856800\pi\)
−0.936197 + 0.351476i \(0.885680\pi\)
\(62\) −2.95186 + 14.8803i −0.374887 + 1.88980i
\(63\) 1.76096 0.897256i 0.221861 0.113044i
\(64\) −6.83408 4.15877i −0.854260 0.519847i
\(65\) −6.70485 + 11.0885i −0.831634 + 1.37536i
\(66\) 1.45642 0.974242i 0.179273 0.119921i
\(67\) −7.05089 + 1.11675i −0.861403 + 0.136433i −0.571479 0.820617i \(-0.693630\pi\)
−0.289924 + 0.957050i \(0.593630\pi\)
\(68\) −9.99826 6.11271i −1.21247 0.741275i
\(69\) 0.0715904 0.0985357i 0.00861847 0.0118623i
\(70\) 6.12177 1.25881i 0.731691 0.150457i
\(71\) 4.63594 + 6.38083i 0.550185 + 0.757265i 0.990037 0.140805i \(-0.0449692\pi\)
−0.439852 + 0.898070i \(0.644969\pi\)
\(72\) −1.56773 + 2.35419i −0.184759 + 0.277444i
\(73\) −4.73873 2.41450i −0.554626 0.282596i 0.154129 0.988051i \(-0.450743\pi\)
−0.708755 + 0.705455i \(0.750743\pi\)
\(74\) 3.83294 4.86724i 0.445570 0.565805i
\(75\) −2.89071 + 4.07968i −0.333790 + 0.471081i
\(76\) 8.86765 2.13865i 1.01719 0.245320i
\(77\) −1.11171 + 2.18186i −0.126692 + 0.248646i
\(78\) 5.56613 + 6.01516i 0.630241 + 0.681082i
\(79\) −10.1840 + 7.39910i −1.14579 + 0.832463i −0.987915 0.154996i \(-0.950463\pi\)
−0.157872 + 0.987460i \(0.550463\pi\)
\(80\) −6.75455 + 5.86311i −0.755182 + 0.655515i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 1.02098 + 8.58809i 0.112748 + 0.948396i
\(83\) 0.455567 + 2.87634i 0.0500050 + 0.315719i 0.999994 + 0.00343616i \(0.00109377\pi\)
−0.949989 + 0.312283i \(0.898906\pi\)
\(84\) 0.306048 3.94089i 0.0333926 0.429986i
\(85\) −9.91218 + 8.56806i −1.07513 + 0.929337i
\(86\) −12.9049 4.75329i −1.39158 0.512561i
\(87\) 2.43614 + 4.78120i 0.261182 + 0.512599i
\(88\) −0.143025 3.50154i −0.0152465 0.373266i
\(89\) 9.16320 2.97730i 0.971297 0.315594i 0.219958 0.975509i \(-0.429408\pi\)
0.751340 + 0.659916i \(0.229408\pi\)
\(90\) 1.97373 + 2.47071i 0.208049 + 0.260435i
\(91\) −10.8925 3.53920i −1.14185 0.371009i
\(92\) −0.0934523 0.224954i −0.00974308 0.0234531i
\(93\) 7.58513 7.58513i 0.786541 0.786541i
\(94\) 1.77438 + 6.27902i 0.183013 + 0.647631i
\(95\) 0.739818 10.1717i 0.0759037 1.04360i
\(96\) 2.38159 + 5.13108i 0.243070 + 0.523689i
\(97\) −7.28707 1.15416i −0.739890 0.117187i −0.224898 0.974382i \(-0.572205\pi\)
−0.514992 + 0.857195i \(0.672205\pi\)
\(98\) −1.83390 3.97261i −0.185251 0.401295i
\(99\) −1.23901 −0.124526
\(100\) 3.94574 + 9.18864i 0.394574 + 0.918864i
\(101\) −5.34748 −0.532094 −0.266047 0.963960i \(-0.585718\pi\)
−0.266047 + 0.963960i \(0.585718\pi\)
\(102\) 3.47310 + 7.52348i 0.343888 + 0.744936i
\(103\) 1.35980 + 0.215371i 0.133985 + 0.0212212i 0.223067 0.974803i \(-0.428393\pi\)
−0.0890816 + 0.996024i \(0.528393\pi\)
\(104\) 16.0708 3.22264i 1.57587 0.316006i
\(105\) −4.09288 1.66694i −0.399424 0.162676i
\(106\) 0.00798797 + 0.0282672i 0.000775860 + 0.00274555i
\(107\) 4.98173 4.98173i 0.481602 0.481602i −0.424041 0.905643i \(-0.639389\pi\)
0.905643 + 0.424041i \(0.139389\pi\)
\(108\) 1.84697 0.767280i 0.177724 0.0738316i
\(109\) 17.6116 + 5.72235i 1.68688 + 0.548102i 0.986227 0.165397i \(-0.0528905\pi\)
0.700657 + 0.713499i \(0.252890\pi\)
\(110\) −3.77779 1.03918i −0.360198 0.0990817i
\(111\) −4.16632 + 1.35372i −0.395449 + 0.128489i
\(112\) −6.40530 4.63348i −0.605244 0.437823i
\(113\) 3.70475 + 7.27098i 0.348514 + 0.683997i 0.997014 0.0772176i \(-0.0246036\pi\)
−0.648501 + 0.761214i \(0.724604\pi\)
\(114\) −6.05263 2.22937i −0.566881 0.208800i
\(115\) −0.271375 + 0.0229790i −0.0253058 + 0.00214280i
\(116\) 10.6999 + 0.830951i 0.993462 + 0.0771519i
\(117\) −0.906537 5.72365i −0.0838094 0.529152i
\(118\) −1.53632 12.9229i −0.141429 1.18965i
\(119\) −9.36873 6.80678i −0.858830 0.623977i
\(120\) 6.27497 0.790384i 0.572824 0.0721518i
\(121\) −7.65722 + 5.56330i −0.696111 + 0.505754i
\(122\) −0.674747 0.729179i −0.0610887 0.0660167i
\(123\) 2.77636 5.44892i 0.250336 0.491312i
\(124\) −5.02994 20.8560i −0.451702 1.87292i
\(125\) 11.1285 1.07550i 0.995362 0.0961953i
\(126\) −1.72924 + 2.19587i −0.154053 + 0.195624i
\(127\) 5.50456 + 2.80471i 0.488450 + 0.248878i 0.680828 0.732443i \(-0.261620\pi\)
−0.192378 + 0.981321i \(0.561620\pi\)
\(128\) 11.2400 + 1.28904i 0.993488 + 0.113937i
\(129\) 5.71591 + 7.86728i 0.503258 + 0.692675i
\(130\) 2.03645 18.2119i 0.178608 1.59729i
\(131\) −1.66608 + 2.29316i −0.145566 + 0.200354i −0.875574 0.483085i \(-0.839516\pi\)
0.730008 + 0.683439i \(0.239516\pi\)
\(132\) −1.29258 + 2.11421i −0.112504 + 0.184018i
\(133\) 8.90317 1.41012i 0.772003 0.122273i
\(134\) 8.39141 5.61325i 0.724908 0.484911i
\(135\) −0.188666 2.22809i −0.0162378 0.191764i
\(136\) 16.4610 + 1.92236i 1.41152 + 0.164841i
\(137\) 7.68229 3.91432i 0.656342 0.334423i −0.0939045 0.995581i \(-0.529935\pi\)
0.750246 + 0.661158i \(0.229935\pi\)
\(138\) −0.0335162 + 0.168954i −0.00285309 + 0.0143824i
\(139\) 3.17990 + 9.78673i 0.269716 + 0.830100i 0.990569 + 0.137012i \(0.0437500\pi\)
−0.720854 + 0.693087i \(0.756250\pi\)
\(140\) −7.11421 + 5.24493i −0.601261 + 0.443278i
\(141\) 1.42575 4.38799i 0.120069 0.369536i
\(142\) −9.73472 5.44509i −0.816920 0.456942i
\(143\) 5.07708 + 5.07708i 0.424567 + 0.424567i
\(144\) 0.617552 3.95204i 0.0514627 0.329337i
\(145\) 4.52591 11.1126i 0.375856 0.922850i
\(146\) 7.51570 + 0.291394i 0.622004 + 0.0241160i
\(147\) −0.483998 + 3.05584i −0.0399195 + 0.252042i
\(148\) −2.03649 + 8.52148i −0.167399 + 0.700461i
\(149\) 21.2963i 1.74466i −0.488914 0.872332i \(-0.662607\pi\)
0.488914 0.872332i \(-0.337393\pi\)
\(150\) 1.29348 6.95176i 0.105612 0.567608i
\(151\) 3.72566i 0.303190i −0.988443 0.151595i \(-0.951559\pi\)
0.988443 0.151595i \(-0.0484409\pi\)
\(152\) −10.1184 + 8.00223i −0.820711 + 0.649067i
\(153\) 0.916613 5.78726i 0.0741037 0.467873i
\(154\) 0.134167 3.46047i 0.0108115 0.278853i
\(155\) −23.9231 1.73999i −1.92155 0.139760i
\(156\) −10.7123 4.42420i −0.857674 0.354220i
\(157\) 9.67619 + 9.67619i 0.772244 + 0.772244i 0.978498 0.206254i \(-0.0661274\pi\)
−0.206254 + 0.978498i \(0.566127\pi\)
\(158\) 8.69051 15.5369i 0.691380 1.23605i
\(159\) 0.00641848 0.0197541i 0.000509019 0.00156660i
\(160\) 5.19756 11.5319i 0.410903 0.911679i
\(161\) −0.0743855 0.228935i −0.00586240 0.0180426i
\(162\) −1.38718 0.275181i −0.108987 0.0216203i
\(163\) −20.6862 + 10.5402i −1.62027 + 0.825569i −0.621148 + 0.783693i \(0.713334\pi\)
−0.999123 + 0.0418764i \(0.986666\pi\)
\(164\) −6.40144 10.4220i −0.499868 0.813818i
\(165\) 1.81178 + 2.09600i 0.141047 + 0.163174i
\(166\) −2.28987 3.42319i −0.177728 0.265691i
\(167\) 19.6135 3.10647i 1.51773 0.240386i 0.658740 0.752370i \(-0.271090\pi\)
0.858995 + 0.511985i \(0.171090\pi\)
\(168\) 1.94295 + 5.24151i 0.149902 + 0.404392i
\(169\) −12.0978 + 16.6512i −0.930599 + 1.28086i
\(170\) 7.64863 16.8767i 0.586623 1.29439i
\(171\) 2.68086 + 3.68988i 0.205010 + 0.282173i
\(172\) 19.3874 1.54603i 1.47828 0.117884i
\(173\) −0.813910 0.414708i −0.0618804 0.0315297i 0.422776 0.906234i \(-0.361056\pi\)
−0.484657 + 0.874704i \(0.661056\pi\)
\(174\) −5.96202 4.69507i −0.451979 0.355932i
\(175\) 3.16501 + 9.36132i 0.239252 + 0.707650i
\(176\) 2.25915 + 4.41121i 0.170290 + 0.332507i
\(177\) −4.17773 + 8.19926i −0.314017 + 0.616294i
\(178\) −10.0008 + 9.25425i −0.749592 + 0.693636i
\(179\) −4.51834 + 3.28277i −0.337717 + 0.245366i −0.743698 0.668516i \(-0.766930\pi\)
0.405981 + 0.913882i \(0.366930\pi\)
\(180\) −3.99876 2.00248i −0.298050 0.149256i
\(181\) −4.12766 2.99892i −0.306807 0.222908i 0.423718 0.905794i \(-0.360725\pi\)
−0.730525 + 0.682886i \(0.760725\pi\)
\(182\) 16.0839 1.91210i 1.19222 0.141734i
\(183\) 0.109894 + 0.693841i 0.00812357 + 0.0512902i
\(184\) 0.253332 + 0.233449i 0.0186759 + 0.0172101i
\(185\) 8.38235 + 5.06853i 0.616282 + 0.372645i
\(186\) −5.24331 + 14.2353i −0.384458 + 1.04378i
\(187\) 3.29592 + 6.46860i 0.241021 + 0.473031i
\(188\) −6.00012 7.01053i −0.437604 0.511295i
\(189\) 1.87965 0.610734i 0.136724 0.0444244i
\(190\) 5.07925 + 13.4990i 0.368488 + 0.979322i
\(191\) −2.86970 0.932423i −0.207645 0.0674678i 0.203348 0.979107i \(-0.434818\pi\)
−0.410992 + 0.911639i \(0.634818\pi\)
\(192\) −6.09936 5.17666i −0.440184 0.373593i
\(193\) 10.1768 10.1768i 0.732542 0.732542i −0.238581 0.971123i \(-0.576682\pi\)
0.971123 + 0.238581i \(0.0766822\pi\)
\(194\) 10.0407 2.83739i 0.720882 0.203713i
\(195\) −8.35693 + 9.90312i −0.598452 + 0.709177i
\(196\) 4.70945 + 4.01382i 0.336389 + 0.286702i
\(197\) 0.100082 + 0.0158515i 0.00713057 + 0.00112937i 0.159999 0.987117i \(-0.448851\pi\)
−0.152868 + 0.988247i \(0.548851\pi\)
\(198\) 1.59090 0.734412i 0.113060 0.0521924i
\(199\) 13.0628 0.926000 0.463000 0.886358i \(-0.346773\pi\)
0.463000 + 0.886358i \(0.346773\pi\)
\(200\) −10.5128 9.45943i −0.743368 0.668883i
\(201\) −7.13878 −0.503531
\(202\) 6.86617 3.16966i 0.483102 0.223017i
\(203\) 10.4748 + 1.65905i 0.735187 + 0.116442i
\(204\) −8.91893 7.60152i −0.624450 0.532213i
\(205\) −13.2776 + 3.27113i −0.927346 + 0.228465i
\(206\) −1.87364 + 0.529470i −0.130543 + 0.0368899i
\(207\) 0.0861234 0.0861234i 0.00598599 0.00598599i
\(208\) −18.7247 + 13.6637i −1.29833 + 0.947405i
\(209\) −5.37450 1.74628i −0.371762 0.120793i
\(210\) 6.24332 0.285660i 0.430830 0.0197124i
\(211\) 26.4223 8.58513i 1.81899 0.591025i 0.819140 0.573594i \(-0.194451\pi\)
0.999848 0.0174306i \(-0.00554861\pi\)
\(212\) −0.0270116 0.0315603i −0.00185517 0.00216757i
\(213\) 3.58068 + 7.02749i 0.245344 + 0.481516i
\(214\) −3.44368 + 9.34941i −0.235405 + 0.639113i
\(215\) 4.95061 21.1736i 0.337629 1.44403i
\(216\) −1.91671 + 2.07996i −0.130416 + 0.141523i
\(217\) −3.31650 20.9396i −0.225139 1.42147i
\(218\) −26.0052 + 3.09157i −1.76129 + 0.209388i
\(219\) −4.30267 3.12607i −0.290748 0.211241i
\(220\) 5.46665 0.904937i 0.368561 0.0610108i
\(221\) −27.4703 + 19.9584i −1.84786 + 1.34255i
\(222\) 4.54715 4.20771i 0.305185 0.282403i
\(223\) −5.31608 + 10.4334i −0.355991 + 0.698672i −0.997664 0.0683061i \(-0.978241\pi\)
0.641673 + 0.766978i \(0.278241\pi\)
\(224\) 10.9709 + 2.15272i 0.733022 + 0.143835i
\(225\) −3.49332 + 3.57725i −0.232888 + 0.238483i
\(226\) −9.06670 7.14000i −0.603108 0.474946i
\(227\) −7.65507 3.90045i −0.508085 0.258882i 0.181104 0.983464i \(-0.442033\pi\)
−0.689189 + 0.724582i \(0.742033\pi\)
\(228\) 9.09303 0.725114i 0.602201 0.0480219i
\(229\) −4.14701 5.70787i −0.274042 0.377187i 0.649707 0.760185i \(-0.274892\pi\)
−0.923749 + 0.382998i \(0.874892\pi\)
\(230\) 0.334825 0.190360i 0.0220777 0.0125519i
\(231\) −1.43934 + 1.98109i −0.0947019 + 0.130346i
\(232\) −14.2312 + 5.27532i −0.934327 + 0.346342i
\(233\) 17.7542 2.81199i 1.16312 0.184220i 0.455117 0.890432i \(-0.349597\pi\)
0.708000 + 0.706212i \(0.249597\pi\)
\(234\) 4.55663 + 6.81184i 0.297876 + 0.445304i
\(235\) −9.50787 + 4.00456i −0.620225 + 0.261229i
\(236\) 9.63256 + 15.6824i 0.627026 + 1.02084i
\(237\) −11.2161 + 5.71488i −0.728562 + 0.371221i
\(238\) 16.0641 + 3.18670i 1.04128 + 0.206563i
\(239\) 3.97832 + 12.2440i 0.257336 + 0.792000i 0.993360 + 0.115045i \(0.0367011\pi\)
−0.736024 + 0.676956i \(0.763299\pi\)
\(240\) −7.58858 + 4.73428i −0.489841 + 0.305596i
\(241\) 3.86025 11.8806i 0.248661 0.765298i −0.746352 0.665551i \(-0.768197\pi\)
0.995013 0.0997473i \(-0.0318034\pi\)
\(242\) 6.53430 11.6820i 0.420041 0.750948i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) 1.29859 + 0.536318i 0.0831336 + 0.0343342i
\(245\) 5.87722 3.64972i 0.375482 0.233172i
\(246\) −0.335066 + 8.64207i −0.0213630 + 0.550999i
\(247\) 4.13467 26.1053i 0.263083 1.66104i
\(248\) 18.8206 + 23.7977i 1.19511 + 1.51116i
\(249\) 2.91219i 0.184553i
\(250\) −13.6515 + 7.97723i −0.863397 + 0.504525i
\(251\) 7.61447i 0.480621i 0.970696 + 0.240310i \(0.0772492\pi\)
−0.970696 + 0.240310i \(0.922751\pi\)
\(252\) 0.918771 3.84449i 0.0578771 0.242180i
\(253\) −0.0236072 + 0.149050i −0.00148417 + 0.00937070i
\(254\) −8.73032 0.338487i −0.547789 0.0212386i
\(255\) −11.1305 + 6.91197i −0.697018 + 0.432844i
\(256\) −15.1963 + 5.00727i −0.949768 + 0.312955i
\(257\) 2.44416 + 2.44416i 0.152462 + 0.152462i 0.779217 0.626755i \(-0.215617\pi\)
−0.626755 + 0.779217i \(0.715617\pi\)
\(258\) −12.0025 6.71355i −0.747242 0.417967i
\(259\) −2.67546 + 8.23421i −0.166245 + 0.511649i
\(260\) 8.18010 + 24.5912i 0.507308 + 1.52508i
\(261\) 1.65821 + 5.10343i 0.102640 + 0.315895i
\(262\) 0.780000 3.93197i 0.0481886 0.242918i
\(263\) 15.1052 7.69647i 0.931424 0.474584i 0.0786724 0.996901i \(-0.474932\pi\)
0.852752 + 0.522316i \(0.174932\pi\)
\(264\) 0.406498 3.48081i 0.0250182 0.214229i
\(265\) −0.0428030 + 0.0180279i −0.00262937 + 0.00110745i
\(266\) −10.5959 + 7.08786i −0.649673 + 0.434585i
\(267\) 9.51614 1.50721i 0.582378 0.0922397i
\(268\) −7.44739 + 12.1813i −0.454922 + 0.744094i
\(269\) −8.95792 + 12.3295i −0.546174 + 0.751744i −0.989487 0.144623i \(-0.953803\pi\)
0.443313 + 0.896367i \(0.353803\pi\)
\(270\) 1.56293 + 2.74905i 0.0951167 + 0.167302i
\(271\) −18.2940 25.1795i −1.11128 1.52954i −0.819519 0.573052i \(-0.805759\pi\)
−0.291759 0.956492i \(-0.594241\pi\)
\(272\) −22.2754 + 7.28878i −1.35065 + 0.441947i
\(273\) −10.2048 5.19960i −0.617622 0.314694i
\(274\) −7.54389 + 9.57959i −0.455743 + 0.578724i
\(275\) 0.896428 6.12987i 0.0540566 0.369645i
\(276\) −0.0571111 0.236804i −0.00343768 0.0142539i
\(277\) −3.66725 + 7.19739i −0.220344 + 0.432449i −0.974544 0.224195i \(-0.928025\pi\)
0.754200 + 0.656644i \(0.228025\pi\)
\(278\) −9.88398 10.6813i −0.592802 0.640623i
\(279\) 8.67832 6.30517i 0.519557 0.377480i
\(280\) 6.02578 10.9514i 0.360109 0.654470i
\(281\) −7.55906 5.49198i −0.450936 0.327624i 0.339029 0.940776i \(-0.389901\pi\)
−0.789965 + 0.613152i \(0.789901\pi\)
\(282\) 0.770277 + 6.47929i 0.0458693 + 0.385836i
\(283\) −2.54702 16.0813i −0.151405 0.955933i −0.940038 0.341069i \(-0.889211\pi\)
0.788633 0.614864i \(-0.210789\pi\)
\(284\) 15.7269 + 1.22135i 0.933221 + 0.0724736i
\(285\) 2.32192 9.93076i 0.137539 0.588247i
\(286\) −9.52837 3.50960i −0.563424 0.207527i
\(287\) −5.48714 10.7691i −0.323895 0.635681i
\(288\) 1.54959 + 5.44047i 0.0913106 + 0.320583i
\(289\) −16.4843 + 5.35607i −0.969664 + 0.315063i
\(290\) 0.775597 + 16.9513i 0.0455446 + 0.995412i
\(291\) −7.01680 2.27990i −0.411332 0.133650i
\(292\) −9.82289 + 4.08070i −0.574841 + 0.238805i
\(293\) −12.7759 + 12.7759i −0.746377 + 0.746377i −0.973797 0.227420i \(-0.926971\pi\)
0.227420 + 0.973797i \(0.426971\pi\)
\(294\) −1.18986 4.21059i −0.0693943 0.245567i
\(295\) 19.9794 4.92223i 1.16325 0.286583i
\(296\) −2.43616 12.1487i −0.141599 0.706129i
\(297\) −1.22376 0.193825i −0.0710097 0.0112468i
\(298\) 12.6232 + 27.3445i 0.731241 + 1.58403i
\(299\) −0.705812 −0.0408182
\(300\) 2.45974 + 9.69276i 0.142013 + 0.559612i
\(301\) 19.2193 1.10778
\(302\) 2.20834 + 4.78375i 0.127076 + 0.275274i
\(303\) −5.28164 0.836530i −0.303423 0.0480574i
\(304\) 8.24882 16.2725i 0.473102 0.933290i
\(305\) 1.01306 1.20049i 0.0580074 0.0687399i
\(306\) 2.25341 + 7.97417i 0.128819 + 0.455853i
\(307\) −0.652214 + 0.652214i −0.0372238 + 0.0372238i −0.725474 0.688250i \(-0.758379\pi\)
0.688250 + 0.725474i \(0.258379\pi\)
\(308\) 1.87888 + 4.52277i 0.107059 + 0.257709i
\(309\) 1.30937 + 0.425439i 0.0744873 + 0.0242024i
\(310\) 31.7486 11.9460i 1.80320 0.678487i
\(311\) −12.8402 + 4.17202i −0.728098 + 0.236573i −0.649531 0.760335i \(-0.725035\pi\)
−0.0785675 + 0.996909i \(0.525035\pi\)
\(312\) 16.3771 0.668942i 0.927169 0.0378714i
\(313\) 6.05363 + 11.8809i 0.342171 + 0.671549i 0.996403 0.0847455i \(-0.0270077\pi\)
−0.654231 + 0.756295i \(0.727008\pi\)
\(314\) −18.1597 6.68879i −1.02481 0.377470i
\(315\) −3.78172 2.28668i −0.213076 0.128840i
\(316\) −1.94930 + 25.1006i −0.109657 + 1.41202i
\(317\) −4.07058 25.7006i −0.228627 1.44349i −0.788562 0.614956i \(-0.789174\pi\)
0.559935 0.828536i \(-0.310826\pi\)
\(318\) 0.00346767 + 0.0291687i 0.000194457 + 0.00163570i
\(319\) −5.37886 3.90797i −0.301158 0.218804i
\(320\) 0.161749 + 17.8878i 0.00904204 + 0.999959i
\(321\) 5.69971 4.14108i 0.318127 0.231133i
\(322\) 0.231210 + 0.249862i 0.0128848 + 0.0139242i
\(323\) 12.1326 23.8116i 0.675078 1.32492i
\(324\) 1.94426 0.468905i 0.108014 0.0260503i
\(325\) 28.9729 0.343915i 1.60713 0.0190770i
\(326\) 20.3136 25.7951i 1.12507 1.42866i
\(327\) 16.4996 + 8.40696i 0.912429 + 0.464906i
\(328\) 14.3970 + 9.58742i 0.794939 + 0.529377i
\(329\) −5.35980 7.37713i −0.295495 0.406714i
\(330\) −3.56871 1.61736i −0.196451 0.0890327i
\(331\) 2.57253 3.54078i 0.141399 0.194619i −0.732444 0.680827i \(-0.761620\pi\)
0.873843 + 0.486208i \(0.161620\pi\)
\(332\) 4.96926 + 3.03809i 0.272723 + 0.166737i
\(333\) −4.32679 + 0.685296i −0.237107 + 0.0375540i
\(334\) −23.3424 + 15.6144i −1.27724 + 0.854381i
\(335\) 10.4389 + 12.0765i 0.570336 + 0.659808i
\(336\) −5.60161 5.57845i −0.305593 0.304329i
\(337\) 18.8970 9.62852i 1.02939 0.524499i 0.144109 0.989562i \(-0.453968\pi\)
0.885278 + 0.465063i \(0.153968\pi\)
\(338\) 5.66377 28.5510i 0.308068 1.55297i
\(339\) 2.52171 + 7.76102i 0.136960 + 0.421521i
\(340\) 0.182657 + 26.2034i 0.00990594 + 1.42108i
\(341\) −4.10711 + 12.6404i −0.222413 + 0.684515i
\(342\) −5.62937 3.14877i −0.304401 0.170266i
\(343\) 14.1064 + 14.1064i 0.761672 + 0.761672i
\(344\) −23.9771 + 13.4768i −1.29276 + 0.726620i
\(345\) −0.271628 0.0197563i −0.0146240 0.00106364i
\(346\) 1.29088 + 0.0500491i 0.0693979 + 0.00269066i
\(347\) −5.32267 + 33.6060i −0.285736 + 1.80407i 0.259457 + 0.965755i \(0.416456\pi\)
−0.545193 + 0.838311i \(0.683544\pi\)
\(348\) 10.4382 + 2.49456i 0.559546 + 0.133722i
\(349\) 30.3857i 1.62651i −0.581907 0.813255i \(-0.697693\pi\)
0.581907 0.813255i \(-0.302307\pi\)
\(350\) −9.61270 10.1439i −0.513820 0.542216i
\(351\) 5.79500i 0.309314i
\(352\) −5.51544 4.32491i −0.293974 0.230519i
\(353\) −2.80838 + 17.7314i −0.149475 + 0.943750i 0.792939 + 0.609301i \(0.208550\pi\)
−0.942414 + 0.334448i \(0.891450\pi\)
\(354\) 0.504190 13.0042i 0.0267974 0.691163i
\(355\) 6.65225 16.3335i 0.353065 0.866890i
\(356\) 7.35568 17.8103i 0.389850 0.943946i
\(357\) −8.18857 8.18857i −0.433385 0.433385i
\(358\) 3.85573 6.89328i 0.203782 0.364321i
\(359\) 8.29609 25.5327i 0.437851 1.34757i −0.452286 0.891873i \(-0.649391\pi\)
0.890137 0.455694i \(-0.150609\pi\)
\(360\) 6.32136 + 0.200969i 0.333165 + 0.0105920i
\(361\) 0.556924 + 1.71404i 0.0293118 + 0.0902124i
\(362\) 7.07751 + 1.40399i 0.371986 + 0.0737923i
\(363\) −8.43324 + 4.29695i −0.442630 + 0.225531i
\(364\) −19.5183 + 11.9887i −1.02304 + 0.628377i
\(365\) 1.00340 + 11.8499i 0.0525205 + 0.620251i
\(366\) −0.552371 0.825755i −0.0288729 0.0431629i
\(367\) −13.8004 + 2.18576i −0.720373 + 0.114096i −0.505848 0.862623i \(-0.668820\pi\)
−0.214525 + 0.976719i \(0.568820\pi\)
\(368\) −0.463653 0.149589i −0.0241696 0.00779786i
\(369\) 3.59458 4.94751i 0.187126 0.257557i
\(370\) −13.7673 1.53945i −0.715726 0.0800322i
\(371\) −0.0241290 0.0332107i −0.00125271 0.00172421i
\(372\) −1.70541 21.3861i −0.0884215 1.10882i
\(373\) −15.0990 7.69335i −0.781799 0.398346i 0.0170680 0.999854i \(-0.494567\pi\)
−0.798867 + 0.601508i \(0.794567\pi\)
\(374\) −8.06616 6.35208i −0.417091 0.328458i
\(375\) 11.1597 + 0.678624i 0.576286 + 0.0350440i
\(376\) 11.8596 + 5.44502i 0.611611 + 0.280805i
\(377\) 14.1174 27.7070i 0.727085 1.42699i
\(378\) −2.05146 + 1.89832i −0.105516 + 0.0976393i
\(379\) 1.79232 1.30219i 0.0920651 0.0668892i −0.540800 0.841151i \(-0.681879\pi\)
0.632866 + 0.774262i \(0.281879\pi\)
\(380\) −14.5232 14.3221i −0.745023 0.734708i
\(381\) 4.99803 + 3.63128i 0.256057 + 0.186036i
\(382\) 4.23739 0.503753i 0.216804 0.0257743i
\(383\) 3.80588 + 24.0294i 0.194471 + 1.22784i 0.870946 + 0.491378i \(0.163507\pi\)
−0.676475 + 0.736465i \(0.736493\pi\)
\(384\) 10.9000 + 3.03150i 0.556238 + 0.154701i
\(385\) 5.45607 0.461999i 0.278067 0.0235456i
\(386\) −7.03484 + 19.0992i −0.358064 + 0.972124i
\(387\) 4.41483 + 8.66458i 0.224418 + 0.440446i
\(388\) −11.2105 + 9.59475i −0.569126 + 0.487100i
\(389\) −25.8405 + 8.39608i −1.31016 + 0.425698i −0.879106 0.476626i \(-0.841860\pi\)
−0.431058 + 0.902324i \(0.641860\pi\)
\(390\) 4.86034 17.6691i 0.246113 0.894709i
\(391\) −0.678728 0.220532i −0.0343247 0.0111528i
\(392\) −8.42609 2.36228i −0.425582 0.119313i
\(393\) −2.00429 + 2.00429i −0.101103 + 0.101103i
\(394\) −0.137902 + 0.0389694i −0.00694739 + 0.00196325i
\(395\) 26.0687 + 10.6172i 1.31166 + 0.534209i
\(396\) −1.60740 + 1.88597i −0.0807748 + 0.0947737i
\(397\) −9.09792 1.44097i −0.456611 0.0723201i −0.0761078 0.997100i \(-0.524249\pi\)
−0.380504 + 0.924779i \(0.624249\pi\)
\(398\) −16.7727 + 7.74285i −0.840739 + 0.388114i
\(399\) 9.01415 0.451272
\(400\) 19.1054 + 5.91457i 0.955272 + 0.295729i
\(401\) −29.1170 −1.45404 −0.727018 0.686619i \(-0.759094\pi\)
−0.727018 + 0.686619i \(0.759094\pi\)
\(402\) 9.16621 4.23144i 0.457169 0.211045i
\(403\) −61.3975 9.72441i −3.05843 0.484408i
\(404\) −6.93739 + 8.13970i −0.345148 + 0.404965i
\(405\) 0.162207 2.23018i 0.00806014 0.110818i
\(406\) −14.4330 + 4.07861i −0.716300 + 0.202418i
\(407\) 3.83802 3.83802i 0.190244 0.190244i
\(408\) 15.9576 + 4.47377i 0.790021 + 0.221484i
\(409\) 15.5052 + 5.03794i 0.766682 + 0.249110i 0.666144 0.745823i \(-0.267944\pi\)
0.100538 + 0.994933i \(0.467944\pi\)
\(410\) 15.1095 12.0703i 0.746205 0.596108i
\(411\) 8.20004 2.66435i 0.404478 0.131423i
\(412\) 2.09193 1.79042i 0.103062 0.0882078i
\(413\) 8.25677 + 16.2048i 0.406289 + 0.797387i
\(414\) −0.0595338 + 0.161631i −0.00292593 + 0.00794374i
\(415\) 4.92647 4.25843i 0.241831 0.209038i
\(416\) 15.9436 28.6431i 0.781699 1.40434i
\(417\) 1.60977 + 10.1637i 0.0788308 + 0.497718i
\(418\) 7.93595 0.943449i 0.388160 0.0461456i
\(419\) −12.1001 8.79126i −0.591130 0.429481i 0.251589 0.967834i \(-0.419047\pi\)
−0.842720 + 0.538353i \(0.819047\pi\)
\(420\) −7.84711 + 4.06745i −0.382900 + 0.198471i
\(421\) 8.70096 6.32162i 0.424059 0.308097i −0.355210 0.934787i \(-0.615591\pi\)
0.779269 + 0.626690i \(0.215591\pi\)
\(422\) −28.8376 + 26.6849i −1.40379 + 1.29900i
\(423\) 2.09463 4.11093i 0.101844 0.199880i
\(424\) 0.0533900 + 0.0245126i 0.00259285 + 0.00119044i
\(425\) 27.9686 + 8.72192i 1.35668 + 0.423075i
\(426\) −8.76307 6.90089i −0.424572 0.334349i
\(427\) 1.23706 + 0.630314i 0.0598656 + 0.0305030i
\(428\) −1.12007 14.0459i −0.0541408 0.678932i
\(429\) 4.22035 + 5.80881i 0.203760 + 0.280452i
\(430\) 6.19382 + 30.1213i 0.298692 + 1.45258i
\(431\) −3.12873 + 4.30632i −0.150705 + 0.207428i −0.877694 0.479221i \(-0.840919\pi\)
0.726989 + 0.686649i \(0.240919\pi\)
\(432\) 1.22818 3.80678i 0.0590911 0.183154i
\(433\) −10.9195 + 1.72947i −0.524755 + 0.0831131i −0.413191 0.910644i \(-0.635586\pi\)
−0.111564 + 0.993757i \(0.535586\pi\)
\(434\) 16.6701 + 24.9206i 0.800190 + 1.19623i
\(435\) 6.20858 10.2678i 0.297678 0.492302i
\(436\) 31.5582 19.3839i 1.51136 0.928319i
\(437\) 0.494962 0.252196i 0.0236772 0.0120642i
\(438\) 7.37759 + 1.46352i 0.352515 + 0.0699298i
\(439\) −3.08468 9.49368i −0.147224 0.453109i 0.850066 0.526676i \(-0.176562\pi\)
−0.997290 + 0.0735669i \(0.976562\pi\)
\(440\) −6.48279 + 4.40224i −0.309055 + 0.209868i
\(441\) −0.956078 + 2.94251i −0.0455275 + 0.140119i
\(442\) 23.4419 41.9093i 1.11502 1.99342i
\(443\) 18.8815 + 18.8815i 0.897089 + 0.897089i 0.995178 0.0980884i \(-0.0312728\pi\)
−0.0980884 + 0.995178i \(0.531273\pi\)
\(444\) −3.34447 + 8.09799i −0.158722 + 0.384314i
\(445\) −16.4649 13.8942i −0.780512 0.658649i
\(446\) 0.641572 16.5475i 0.0303793 0.783549i
\(447\) 3.33148 21.0341i 0.157574 0.994881i
\(448\) −15.3626 + 3.73876i −0.725815 + 0.176640i
\(449\) 37.5326i 1.77127i −0.464381 0.885635i \(-0.653723\pi\)
0.464381 0.885635i \(-0.346277\pi\)
\(450\) 2.36505 6.66382i 0.111490 0.314136i
\(451\) 7.57714i 0.356794i
\(452\) 15.8738 + 3.79358i 0.746642 + 0.178435i
\(453\) 0.582821 3.67979i 0.0273833 0.172892i
\(454\) 12.1411 + 0.470727i 0.569809 + 0.0220923i
\(455\) 6.12620 + 24.8664i 0.287201 + 1.16575i
\(456\) −11.2457 + 6.32084i −0.526626 + 0.296001i
\(457\) −5.19425 5.19425i −0.242977 0.242977i 0.575104 0.818081i \(-0.304962\pi\)
−0.818081 + 0.575104i \(0.804962\pi\)
\(458\) 8.70805 + 4.87082i 0.406900 + 0.227598i
\(459\) 1.81066 5.57262i 0.0845141 0.260108i
\(460\) −0.317082 + 0.442886i −0.0147840 + 0.0206497i
\(461\) −0.978097 3.01027i −0.0455545 0.140202i 0.925692 0.378278i \(-0.123484\pi\)
−0.971247 + 0.238075i \(0.923484\pi\)
\(462\) 0.673852 3.39688i 0.0313504 0.158037i
\(463\) 13.3799 6.81738i 0.621815 0.316830i −0.114548 0.993418i \(-0.536542\pi\)
0.736362 + 0.676587i \(0.236542\pi\)
\(464\) 15.1461 15.2089i 0.703138 0.706057i
\(465\) −23.3564 5.46097i −1.08312 0.253246i
\(466\) −21.1297 + 14.1342i −0.978813 + 0.654755i
\(467\) −28.7602 + 4.55517i −1.33086 + 0.210788i −0.781034 0.624488i \(-0.785308\pi\)
−0.549830 + 0.835276i \(0.685308\pi\)
\(468\) −9.88836 6.04552i −0.457090 0.279454i
\(469\) −8.29302 + 11.4144i −0.382936 + 0.527066i
\(470\) 9.83446 10.7776i 0.453630 0.497132i
\(471\) 8.04337 + 11.0708i 0.370619 + 0.510113i
\(472\) −21.6638 14.4267i −0.997158 0.664041i
\(473\) −10.7355 5.47003i −0.493621 0.251512i
\(474\) 11.0140 13.9861i 0.505891 0.642404i
\(475\) −20.1949 + 10.5936i −0.926603 + 0.486067i
\(476\) −22.5152 + 5.43010i −1.03198 + 0.248888i
\(477\) 0.00942968 0.0185068i 0.000431755 0.000847368i
\(478\) −12.3657 13.3632i −0.565594 0.611220i
\(479\) −28.4711 + 20.6854i −1.30088 + 0.945142i −0.999964 0.00850960i \(-0.997291\pi\)
−0.300913 + 0.953652i \(0.597291\pi\)
\(480\) 6.93756 10.5769i 0.316655 0.482766i
\(481\) 20.5379 + 14.9217i 0.936449 + 0.680370i
\(482\) 2.08555 + 17.5429i 0.0949941 + 0.799056i
\(483\) −0.0376563 0.237753i −0.00171342 0.0108181i
\(484\) −1.46566 + 18.8729i −0.0666209 + 0.857857i
\(485\) 6.40366 + 15.2040i 0.290775 + 0.690376i
\(486\) −1.32706 0.488796i −0.0601965 0.0221722i
\(487\) −1.88944 3.70823i −0.0856186 0.168036i 0.844227 0.535986i \(-0.180060\pi\)
−0.929846 + 0.367950i \(0.880060\pi\)
\(488\) −1.98529 + 0.0810916i −0.0898697 + 0.00367084i
\(489\) −22.0804 + 7.17436i −0.998510 + 0.324436i
\(490\) −5.38302 + 8.16990i −0.243180 + 0.369078i
\(491\) 38.8459 + 12.6218i 1.75309 + 0.569614i 0.996448 0.0842114i \(-0.0268371\pi\)
0.756645 + 0.653826i \(0.226837\pi\)
\(492\) −4.69227 11.2950i −0.211544 0.509220i
\(493\) 22.2328 22.2328i 1.00132 1.00132i
\(494\) 10.1647 + 35.9700i 0.457331 + 1.61837i
\(495\) 1.46159 + 2.35362i 0.0656934 + 0.105788i
\(496\) −38.2715 19.4006i −1.71844 0.871111i
\(497\) 15.3960 + 2.43849i 0.690607 + 0.109381i
\(498\) −1.72617 3.73926i −0.0773516 0.167560i
\(499\) 26.9181 1.20502 0.602510 0.798111i \(-0.294167\pi\)
0.602510 + 0.798111i \(0.294167\pi\)
\(500\) 12.8001 18.3346i 0.572440 0.819947i
\(501\) 19.8579 0.887187
\(502\) −4.51339 9.77699i −0.201443 0.436368i
\(503\) −15.6815 2.48371i −0.699205 0.110743i −0.203296 0.979117i \(-0.565165\pi\)
−0.495909 + 0.868374i \(0.665165\pi\)
\(504\) 1.09908 + 5.48093i 0.0489569 + 0.244140i
\(505\) 6.30809 + 10.1580i 0.280706 + 0.452027i
\(506\) −0.0580361 0.205373i −0.00258002 0.00912996i
\(507\) −14.5537 + 14.5537i −0.646351 + 0.646351i
\(508\) 11.4104 4.74019i 0.506254 0.210312i
\(509\) −16.5749 5.38552i −0.734670 0.238709i −0.0822982 0.996608i \(-0.526226\pi\)
−0.652372 + 0.757899i \(0.726226\pi\)
\(510\) 10.1946 15.4725i 0.451423 0.685132i
\(511\) −9.99670 + 3.24813i −0.442228 + 0.143689i
\(512\) 16.5441 15.4368i 0.731151 0.682216i
\(513\) 2.07063 + 4.06383i 0.0914204 + 0.179423i
\(514\) −4.58705 1.68955i −0.202326 0.0745230i
\(515\) −1.19495 2.83713i −0.0526559 0.125019i
\(516\) 19.3906 + 1.50587i 0.853623 + 0.0662920i
\(517\) 0.894269 + 5.64620i 0.0393299 + 0.248319i
\(518\) −1.44545 12.1586i −0.0635094 0.534218i
\(519\) −0.739015 0.536926i −0.0324392 0.0235684i
\(520\) −25.0794 26.7264i −1.09981 1.17203i
\(521\) 33.3910 24.2600i 1.46289 1.06285i 0.480286 0.877112i \(-0.340533\pi\)
0.982600 0.185737i \(-0.0594672\pi\)
\(522\) −5.15414 5.56993i −0.225591 0.243789i
\(523\) 13.4688 26.4340i 0.588950 1.15588i −0.383668 0.923471i \(-0.625339\pi\)
0.972618 0.232409i \(-0.0746607\pi\)
\(524\) 1.32911 + 5.51099i 0.0580624 + 0.240749i
\(525\) 1.66161 + 9.74119i 0.0725184 + 0.425140i
\(526\) −14.8331 + 18.8357i −0.646752 + 0.821275i
\(527\) −56.0031 28.5350i −2.43953 1.24300i
\(528\) 1.54127 + 4.71031i 0.0670750 + 0.204990i
\(529\) 13.5103 + 18.5954i 0.587406 + 0.808495i
\(530\) 0.0442732 0.0485189i 0.00192311 0.00210753i
\(531\) −5.40894 + 7.44477i −0.234728 + 0.323075i
\(532\) 9.40384 15.3814i 0.407708 0.666869i
\(533\) −35.0028 + 5.54389i −1.51614 + 0.240133i
\(534\) −11.3254 + 7.57585i −0.490096 + 0.327839i
\(535\) −15.3399 3.58663i −0.663201 0.155064i
\(536\) 2.34210 20.0552i 0.101163 0.866254i
\(537\) −4.97625 + 2.53553i −0.214741 + 0.109416i
\(538\) 4.19379 21.1408i 0.180807 0.911446i
\(539\) −1.18459 3.64581i −0.0510241 0.157036i
\(540\) −3.63627 2.60337i −0.156480 0.112031i
\(541\) −1.34195 + 4.13009i −0.0576948 + 0.177566i −0.975751 0.218884i \(-0.929758\pi\)
0.918056 + 0.396451i \(0.129758\pi\)
\(542\) 38.4143 + 21.4869i 1.65004 + 0.922943i
\(543\) −3.60771 3.60771i −0.154822 0.154822i
\(544\) 24.2814 22.5623i 1.04105 0.967352i
\(545\) −9.90513 40.2052i −0.424289 1.72220i
\(546\) 16.1850 + 0.627514i 0.692653 + 0.0268551i
\(547\) −2.17145 + 13.7100i −0.0928447 + 0.586198i 0.896775 + 0.442487i \(0.145904\pi\)
−0.989620 + 0.143711i \(0.954096\pi\)
\(548\) 4.00818 16.7718i 0.171221 0.716454i
\(549\) 0.702490i 0.0299815i
\(550\) 2.48240 + 8.40211i 0.105850 + 0.358267i
\(551\) 24.4744i 1.04264i
\(552\) 0.213694 + 0.270205i 0.00909541 + 0.0115007i
\(553\) −3.89191 + 24.5725i −0.165501 + 1.04493i
\(554\) 0.442583 11.4152i 0.0188035 0.484985i
\(555\) 7.48625 + 6.31741i 0.317774 + 0.268159i
\(556\) 19.0223 + 7.85622i 0.806725 + 0.333178i
\(557\) 16.1147 + 16.1147i 0.682801 + 0.682801i 0.960630 0.277830i \(-0.0896150\pi\)
−0.277830 + 0.960630i \(0.589615\pi\)
\(558\) −7.40565 + 13.2398i −0.313506 + 0.560486i
\(559\) 17.4142 53.5952i 0.736540 2.26684i
\(560\) −1.24580 + 17.6333i −0.0526448 + 0.745143i
\(561\) 2.24343 + 6.90456i 0.0947176 + 0.291511i
\(562\) 12.9612 + 2.57116i 0.546733 + 0.108458i
\(563\) −19.6615 + 10.0181i −0.828635 + 0.422211i −0.816240 0.577712i \(-0.803946\pi\)
−0.0123950 + 0.999923i \(0.503946\pi\)
\(564\) −4.82956 7.86284i −0.203361 0.331085i
\(565\) 9.44166 15.6146i 0.397213 0.656913i
\(566\) 12.8024 + 19.1387i 0.538124 + 0.804458i
\(567\) 1.95204 0.309174i 0.0819782 0.0129841i
\(568\) −20.9173 + 7.75375i −0.877672 + 0.325340i
\(569\) 1.69582 2.33410i 0.0710926 0.0978505i −0.771990 0.635635i \(-0.780738\pi\)
0.843083 + 0.537784i \(0.180738\pi\)
\(570\) 2.90500 + 14.1274i 0.121677 + 0.591732i
\(571\) 9.81495 + 13.5091i 0.410743 + 0.565339i 0.963399 0.268070i \(-0.0863859\pi\)
−0.552657 + 0.833409i \(0.686386\pi\)
\(572\) 14.3147 1.14151i 0.598529 0.0477291i
\(573\) −2.68851 1.36986i −0.112314 0.0572269i
\(574\) 13.4288 + 10.5751i 0.560506 + 0.441397i
\(575\) 0.363774 + 0.488395i 0.0151704 + 0.0203675i
\(576\) −5.21446 6.06707i −0.217269 0.252795i
\(577\) −18.6192 + 36.5421i −0.775126 + 1.52127i 0.0764710 + 0.997072i \(0.475635\pi\)
−0.851597 + 0.524198i \(0.824365\pi\)
\(578\) 17.9911 16.6481i 0.748331 0.692469i
\(579\) 11.6435 8.45950i 0.483888 0.351565i
\(580\) −11.0435 21.3057i −0.458558 0.884672i
\(581\) 4.65637 + 3.38305i 0.193179 + 0.140353i
\(582\) 10.3610 1.23174i 0.429476 0.0510574i
\(583\) 0.00402586 + 0.0254183i 0.000166734 + 0.00105272i
\(584\) 10.1938 11.0620i 0.421823 0.457750i
\(585\) −9.80323 + 8.47388i −0.405314 + 0.350352i
\(586\) 8.83151 23.9771i 0.364826 0.990484i
\(587\) 11.6401 + 22.8450i 0.480439 + 0.942915i 0.996275 + 0.0862280i \(0.0274814\pi\)
−0.515836 + 0.856687i \(0.672519\pi\)
\(588\) 4.02357 + 4.70113i 0.165929 + 0.193871i
\(589\) 46.5307 15.1187i 1.91726 0.622956i
\(590\) −22.7360 + 18.1627i −0.936027 + 0.747748i
\(591\) 0.0963705 + 0.0313127i 0.00396415 + 0.00128803i
\(592\) 10.3290 + 14.1550i 0.424521 + 0.581765i
\(593\) 5.99382 5.99382i 0.246137 0.246137i −0.573246 0.819383i \(-0.694316\pi\)
0.819383 + 0.573246i \(0.194316\pi\)
\(594\) 1.68620 0.476500i 0.0691855 0.0195510i
\(595\) −1.87842 + 25.8263i −0.0770078 + 1.05878i
\(596\) −32.4163 27.6282i −1.32783 1.13169i
\(597\) 12.9020 + 2.04348i 0.528044 + 0.0836339i
\(598\) 0.906264 0.418363i 0.0370599 0.0171081i
\(599\) −0.175663 −0.00717738 −0.00358869 0.999994i \(-0.501142\pi\)
−0.00358869 + 0.999994i \(0.501142\pi\)
\(600\) −8.90360 10.9875i −0.363488 0.448564i
\(601\) 11.4170 0.465710 0.232855 0.972511i \(-0.425193\pi\)
0.232855 + 0.972511i \(0.425193\pi\)
\(602\) −24.6776 + 11.3920i −1.00578 + 0.464304i
\(603\) −7.05089 1.11675i −0.287134 0.0454776i
\(604\) −5.67103 4.83337i −0.230751 0.196667i
\(605\) 19.6007 + 7.98294i 0.796883 + 0.324553i
\(606\) 7.27748 2.05653i 0.295628 0.0835409i
\(607\) −10.6407 + 10.6407i −0.431893 + 0.431893i −0.889272 0.457379i \(-0.848788\pi\)
0.457379 + 0.889272i \(0.348788\pi\)
\(608\) −0.946166 + 25.7833i −0.0383721 + 1.04565i
\(609\) 10.0863 + 3.27724i 0.408718 + 0.132800i
\(610\) −0.589188 + 2.14191i −0.0238555 + 0.0867234i
\(611\) −25.4284 + 8.26219i −1.02872 + 0.334252i
\(612\) −7.61998 8.90316i −0.308019 0.359889i
\(613\) 0.467306 + 0.917140i 0.0188743 + 0.0370429i 0.900251 0.435371i \(-0.143383\pi\)
−0.881377 + 0.472414i \(0.843383\pi\)
\(614\) 0.450851 1.22404i 0.0181949 0.0493981i
\(615\) −13.6258 + 1.15378i −0.549446 + 0.0465250i
\(616\) −5.09332 4.69356i −0.205216 0.189109i
\(617\) 6.87162 + 43.3857i 0.276641 + 1.74664i 0.599665 + 0.800251i \(0.295300\pi\)
−0.323024 + 0.946391i \(0.604700\pi\)
\(618\) −1.93340 + 0.229849i −0.0777729 + 0.00924588i
\(619\) 15.7867 + 11.4697i 0.634520 + 0.461006i 0.857963 0.513711i \(-0.171730\pi\)
−0.223443 + 0.974717i \(0.571730\pi\)
\(620\) −33.6844 + 34.1573i −1.35280 + 1.37179i
\(621\) 0.0985357 0.0715904i 0.00395410 0.00287282i
\(622\) 14.0139 12.9677i 0.561905 0.519959i
\(623\) 8.64485 16.9665i 0.346349 0.679747i
\(624\) −20.6317 + 10.5663i −0.825928 + 0.422989i
\(625\) −15.1706 19.8709i −0.606823 0.794837i
\(626\) −14.8152 11.6669i −0.592133 0.466303i
\(627\) −5.03515 2.56554i −0.201084 0.102458i
\(628\) 27.2818 2.17556i 1.08866 0.0868143i
\(629\) 15.0875 + 20.7662i 0.601579 + 0.828002i
\(630\) 6.21114 + 0.694528i 0.247458 + 0.0276706i
\(631\) −19.8296 + 27.2931i −0.789403 + 1.08652i 0.204779 + 0.978808i \(0.434353\pi\)
−0.994182 + 0.107712i \(0.965647\pi\)
\(632\) −12.3752 33.3847i −0.492259 1.32797i
\(633\) 27.4400 4.34607i 1.09064 0.172741i
\(634\) 20.4604 + 30.5869i 0.812587 + 1.21476i
\(635\) −1.16556 13.7650i −0.0462540 0.546246i
\(636\) −0.0217419 0.0353973i −0.000862124 0.00140359i
\(637\) 15.9752 8.13975i 0.632958 0.322508i
\(638\) 9.22287 + 1.82958i 0.365137 + 0.0724337i
\(639\) 2.43726 + 7.50111i 0.0964165 + 0.296739i
\(640\) −10.8105 22.8721i −0.427322 0.904099i
\(641\) −6.34839 + 19.5383i −0.250746 + 0.771718i 0.743892 + 0.668300i \(0.232978\pi\)
−0.994638 + 0.103418i \(0.967022\pi\)
\(642\) −4.86385 + 8.69559i −0.191961 + 0.343188i
\(643\) 7.64052 + 7.64052i 0.301313 + 0.301313i 0.841527 0.540215i \(-0.181657\pi\)
−0.540215 + 0.841527i \(0.681657\pi\)
\(644\) −0.444977 0.183776i −0.0175345 0.00724177i
\(645\) 8.20193 20.1384i 0.322951 0.792950i
\(646\) −1.46423 + 37.7657i −0.0576093 + 1.48587i
\(647\) −0.562777 + 3.55324i −0.0221251 + 0.139692i −0.996278 0.0861968i \(-0.972529\pi\)
0.974153 + 0.225889i \(0.0725286\pi\)
\(648\) −2.21849 + 1.75451i −0.0871505 + 0.0689237i
\(649\) 11.4017i 0.447556i
\(650\) −36.9974 + 17.6150i −1.45116 + 0.690917i
\(651\) 21.2006i 0.830916i
\(652\) −10.7929 + 45.1617i −0.422682 + 1.76867i
\(653\) −5.01226 + 31.6462i −0.196145 + 1.23841i 0.671417 + 0.741080i \(0.265686\pi\)
−0.867562 + 0.497330i \(0.834314\pi\)
\(654\) −26.1686 1.01459i −1.02327 0.0396738i
\(655\) 6.32143 + 0.459776i 0.246999 + 0.0179649i
\(656\) −24.1686 3.77662i −0.943623 0.147452i
\(657\) −3.76067 3.76067i −0.146718 0.146718i
\(658\) 11.2547 + 6.29528i 0.438754 + 0.245416i
\(659\) −8.42444 + 25.9278i −0.328170 + 1.01000i 0.641820 + 0.766856i \(0.278180\pi\)
−0.969989 + 0.243147i \(0.921820\pi\)
\(660\) 5.54091 0.0386241i 0.215679 0.00150344i
\(661\) 4.18817 + 12.8899i 0.162901 + 0.501358i 0.998875 0.0474105i \(-0.0150969\pi\)
−0.835974 + 0.548768i \(0.815097\pi\)
\(662\) −1.20437 + 6.07121i −0.0468092 + 0.235964i
\(663\) −30.2543 + 15.4153i −1.17498 + 0.598682i
\(664\) −8.18133 0.955437i −0.317497 0.0370782i
\(665\) −13.1812 15.2490i −0.511144 0.591330i
\(666\) 5.14940 3.44458i 0.199535 0.133475i
\(667\) 0.645523 0.102241i 0.0249948 0.00395878i
\(668\) 20.7164 33.8848i 0.801542 1.31104i
\(669\) −6.88277 + 9.47333i −0.266103 + 0.366260i
\(670\) −20.5617 9.31868i −0.794368 0.360012i
\(671\) −0.511605 0.704165i −0.0197503 0.0271840i
\(672\) 10.4990 + 3.84244i 0.405009 + 0.148225i
\(673\) −10.6723 5.43780i −0.411387 0.209612i 0.236034 0.971745i \(-0.424152\pi\)
−0.647421 + 0.762133i \(0.724152\pi\)
\(674\) −18.5566 + 23.5641i −0.714774 + 0.907653i
\(675\) −4.00992 + 2.98673i −0.154342 + 0.114959i
\(676\) 9.65099 + 40.0166i 0.371192 + 1.53910i
\(677\) −10.4290 + 20.4681i −0.400819 + 0.786652i −0.999902 0.0140353i \(-0.995532\pi\)
0.599082 + 0.800688i \(0.295532\pi\)
\(678\) −7.83814 8.47044i −0.301022 0.325305i
\(679\) −11.7967 + 8.57080i −0.452716 + 0.328917i
\(680\) −15.7663 33.5370i −0.604611 1.28608i
\(681\) −6.95065 5.04995i −0.266350 0.193514i
\(682\) −2.21892 18.6647i −0.0849668 0.714709i
\(683\) −7.59793 47.9715i −0.290727 1.83558i −0.510319 0.859985i \(-0.670473\pi\)
0.219592 0.975592i \(-0.429527\pi\)
\(684\) 9.09451 + 0.706276i 0.347737 + 0.0270051i
\(685\) −16.4979 9.97575i −0.630353 0.381154i
\(686\) −26.4740 9.75120i −1.01078 0.372303i
\(687\) −3.20305 6.28633i −0.122204 0.239839i
\(688\) 22.7984 31.5164i 0.869181 1.20155i
\(689\) −0.114475 + 0.0371951i −0.00436114 + 0.00141702i
\(690\) 0.360482 0.135638i 0.0137233 0.00516364i
\(691\) −15.8467 5.14891i −0.602838 0.195874i −0.00833210 0.999965i \(-0.502652\pi\)
−0.594506 + 0.804091i \(0.702652\pi\)
\(692\) −1.68715 + 0.700890i −0.0641359 + 0.0266438i
\(693\) −1.73153 + 1.73153i −0.0657756 + 0.0657756i
\(694\) −13.0853 46.3051i −0.496711 1.75772i
\(695\) 14.8397 17.5853i 0.562902 0.667049i
\(696\) −14.8813 + 2.98411i −0.564073 + 0.113113i
\(697\) −35.3918 5.60551i −1.34056 0.212324i
\(698\) 18.0108 + 39.0153i 0.681719 + 1.47675i
\(699\) 17.9755 0.679897
\(700\) 18.3554 + 7.32700i 0.693770 + 0.276935i
\(701\) −11.4107 −0.430977 −0.215488 0.976506i \(-0.569134\pi\)
−0.215488 + 0.976506i \(0.569134\pi\)
\(702\) 3.43492 + 7.44078i 0.129643 + 0.280834i
\(703\) −19.7343 3.12560i −0.744292 0.117884i
\(704\) 9.64538 + 2.28398i 0.363524 + 0.0860806i
\(705\) −10.0173 + 2.46790i −0.377272 + 0.0929465i
\(706\) −6.90415 24.4318i −0.259841 0.919505i
\(707\) −7.47316 + 7.47316i −0.281057 + 0.281057i
\(708\) 7.06070 + 16.9962i 0.265357 + 0.638757i
\(709\) −22.2796 7.23907i −0.836727 0.271869i −0.140851 0.990031i \(-0.544984\pi\)
−0.695876 + 0.718162i \(0.744984\pi\)
\(710\) 1.13998 + 24.9152i 0.0427829 + 0.935053i
\(711\) −11.9720 + 3.88994i −0.448985 + 0.145884i
\(712\) 1.11218 + 27.2285i 0.0416808 + 1.02043i
\(713\) −0.593144 1.16411i −0.0222134 0.0435963i
\(714\) 15.3678 + 5.66045i 0.575127 + 0.211837i
\(715\) 3.65528 15.6335i 0.136700 0.584660i
\(716\) −0.864851 + 11.1364i −0.0323210 + 0.416188i
\(717\) 2.01396 + 12.7156i 0.0752126 + 0.474874i
\(718\) 4.48207 + 37.7015i 0.167269 + 1.40701i
\(719\) −37.2385 27.0554i −1.38876 1.00900i −0.996000 0.0893562i \(-0.971519\pi\)
−0.392764 0.919639i \(-0.628481\pi\)
\(720\) −8.23576 + 3.48887i −0.306929 + 0.130023i
\(721\) 2.20132 1.59935i 0.0819814 0.0595629i
\(722\) −1.73107 1.87071i −0.0644237 0.0696208i
\(723\) 5.67126 11.1305i 0.210917 0.413947i
\(724\) −9.91973 + 2.39239i −0.368664 + 0.0889123i
\(725\) −26.4483 + 4.51143i −0.982266 + 0.167550i
\(726\) 8.28132 10.5160i 0.307349 0.390285i
\(727\) 38.1000 + 19.4129i 1.41305 + 0.719985i 0.983135 0.182884i \(-0.0585432\pi\)
0.429916 + 0.902869i \(0.358543\pi\)
\(728\) 17.9554 26.9628i 0.665472 0.999307i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −8.31227 14.6205i −0.307651 0.541130i
\(731\) 33.4918 46.0975i 1.23874 1.70498i
\(732\) 1.19870 + 0.732859i 0.0443053 + 0.0270872i
\(733\) −18.1115 + 2.86857i −0.668962 + 0.105953i −0.481672 0.876352i \(-0.659970\pi\)
−0.187290 + 0.982305i \(0.559970\pi\)
\(734\) 16.4241 10.9865i 0.606224 0.405521i
\(735\) 6.37580 2.68538i 0.235175 0.0990519i
\(736\) 0.683999 0.0827532i 0.0252125 0.00305032i
\(737\) 7.88100 4.01557i 0.290300 0.147915i
\(738\) −1.68286 + 8.48326i −0.0619469 + 0.312273i
\(739\) 1.37964 + 4.24609i 0.0507508 + 0.156195i 0.973220 0.229876i \(-0.0738320\pi\)
−0.922469 + 0.386071i \(0.873832\pi\)
\(740\) 18.5897 6.18374i 0.683370 0.227319i
\(741\) 8.16753 25.1371i 0.300042 0.923433i
\(742\) 0.0506669 + 0.0283404i 0.00186004 + 0.00104041i
\(743\) 9.34530 + 9.34530i 0.342846 + 0.342846i 0.857436 0.514590i \(-0.172056\pi\)
−0.514590 + 0.857436i \(0.672056\pi\)
\(744\) 14.8661 + 26.4489i 0.545019 + 0.969664i
\(745\) −40.4544 + 25.1219i −1.48213 + 0.920397i
\(746\) 23.9473 + 0.928473i 0.876775 + 0.0339938i
\(747\) −0.455567 + 2.87634i −0.0166683 + 0.105240i
\(748\) 14.1221 + 3.37495i 0.516355 + 0.123400i
\(749\) 13.9240i 0.508773i
\(750\) −14.7314 + 5.74345i −0.537913 + 0.209721i
\(751\) 34.9526i 1.27544i 0.770269 + 0.637719i \(0.220122\pi\)
−0.770269 + 0.637719i \(0.779878\pi\)
\(752\) −18.4552 + 0.0382311i −0.672992 + 0.00139415i
\(753\) −1.19117 + 7.52072i −0.0434085 + 0.274070i
\(754\) −1.70377 + 43.9438i −0.0620475 + 1.60034i
\(755\) −7.07724 + 4.39492i −0.257567 + 0.159948i
\(756\) 1.50887 3.65343i 0.0548771 0.132874i
\(757\) 21.7005 + 21.7005i 0.788717 + 0.788717i 0.981284 0.192567i \(-0.0616812\pi\)
−0.192567 + 0.981284i \(0.561681\pi\)
\(758\) −1.52947 + 2.73439i −0.0555530 + 0.0993177i
\(759\) −0.0466331 + 0.143522i −0.00169268 + 0.00520952i
\(760\) 27.1370 + 9.78114i 0.984364 + 0.354799i
\(761\) 0.680896 + 2.09558i 0.0246825 + 0.0759648i 0.962639 0.270788i \(-0.0872843\pi\)
−0.937957 + 0.346753i \(0.887284\pi\)
\(762\) −8.56989 1.70004i −0.310454 0.0615861i
\(763\) 32.6094 16.6153i 1.18054 0.601515i
\(764\) −5.14222 + 3.15849i −0.186039 + 0.114270i
\(765\) −12.0747 + 5.08568i −0.436562 + 0.183873i
\(766\) −19.1299 28.5979i −0.691192 1.03328i
\(767\) 52.6704 8.34217i 1.90182 0.301218i
\(768\) −15.7925 + 2.56840i −0.569863 + 0.0926793i
\(769\) −14.1415 + 19.4641i −0.509955 + 0.701893i −0.983912 0.178655i \(-0.942825\pi\)
0.473956 + 0.880548i \(0.342825\pi\)
\(770\) −6.73175 + 3.82723i −0.242596 + 0.137924i
\(771\) 2.03171 + 2.79641i 0.0731704 + 0.100710i
\(772\) −2.28811 28.6932i −0.0823510 1.03269i
\(773\) −16.2534 8.28151i −0.584594 0.297865i 0.136570 0.990630i \(-0.456392\pi\)
−0.721163 + 0.692765i \(0.756392\pi\)