Properties

Label 300.2.w.a.67.17
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 67.17
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.275181 + 1.38718i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.84855 + 0.763453i) q^{4} +(-1.17964 - 1.89959i) q^{5} +(-0.0547899 - 1.41315i) q^{6} +(-1.39751 + 1.39751i) q^{7} +(-1.56773 - 2.35419i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(0.275181 + 1.38718i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.84855 + 0.763453i) q^{4} +(-1.17964 - 1.89959i) q^{5} +(-0.0547899 - 1.41315i) q^{6} +(-1.39751 + 1.39751i) q^{7} +(-1.56773 - 2.35419i) q^{8} +(0.951057 + 0.309017i) q^{9} +(2.31047 - 2.15910i) q^{10} +(1.17837 - 0.382876i) q^{11} +(1.94522 - 0.464876i) q^{12} +(-2.63087 - 5.16338i) q^{13} +(-2.32317 - 1.55403i) q^{14} +(0.867952 + 2.06074i) q^{15} +(2.83428 - 2.82256i) q^{16} +(-0.916613 - 5.78726i) q^{17} +(-0.166950 + 1.40432i) q^{18} +(-3.68988 - 2.68086i) q^{19} +(3.63087 + 2.61090i) q^{20} +(1.59892 - 1.16169i) q^{21} +(0.855385 + 1.52926i) 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} +(1.51644 - 3.65030i) q^{28} +(3.15410 + 4.34124i) q^{29} +(-2.61978 + 1.77108i) q^{30} +(-6.30517 + 8.67832i) q^{31} +(4.69535 + 3.15495i) q^{32} +(-1.22376 + 0.193825i) q^{33} +(7.77576 - 2.86405i) q^{34} +(4.30325 + 1.00615i) q^{35} +(-1.99400 + 0.154853i) q^{36} +(-3.90325 + 1.98881i) q^{37} +(2.70345 - 5.85626i) q^{38} +(1.79075 + 5.51137i) q^{39} +(-2.62265 + 5.75515i) q^{40} +(1.88978 - 5.81615i) q^{41} +(2.05146 + 1.89832i) q^{42} +(-6.87625 - 6.87625i) q^{43} +(-1.88597 + 1.60740i) q^{44} +(-0.534894 - 2.17115i) q^{45} +(-0.165756 - 0.0468406i) q^{46} +(-0.721759 + 4.55701i) q^{47} +(-3.24093 + 2.34443i) q^{48} +3.09393i q^{49} +(-6.82694 - 1.84200i) q^{50} +5.85940i q^{51} +(8.80530 + 7.53622i) q^{52} +(0.00324925 - 0.0205149i) q^{53} +(0.384580 - 1.36092i) q^{54} +(-2.11736 - 1.78677i) q^{55} +(5.48093 + 1.09908i) q^{56} +(3.22508 + 3.22508i) q^{57} +(-5.15414 + 5.56993i) q^{58} +(2.84365 - 8.75185i) q^{59} +(-3.17773 - 3.14675i) q^{60} +(0.217081 + 0.668108i) q^{61} +(-13.7735 - 6.35831i) q^{62} +(-1.76096 + 0.897256i) q^{63} +(-3.08442 + 7.38149i) q^{64} +(-6.70485 + 11.0885i) q^{65} +(-0.605625 - 1.64424i) q^{66} +(7.05089 - 1.11675i) q^{67} +(6.11271 + 9.99826i) q^{68} +(0.0715904 - 0.0985357i) q^{69} +(-0.211536 + 6.24627i) q^{70} +(-4.63594 - 6.38083i) q^{71} +(-0.763519 - 2.72342i) 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} +(-7.15249 + 4.00072i) q^{78} +(10.1840 - 7.39910i) q^{79} +(-8.70514 - 2.05438i) q^{80} +(0.809017 + 0.587785i) q^{81} +(8.58809 + 1.02098i) q^{82} +(-0.455567 - 2.87634i) q^{83} +(-2.06880 + 3.36814i) q^{84} +(-9.91218 + 8.56806i) q^{85} +(7.64640 - 11.4308i) q^{86} +(-2.43614 - 4.78120i) q^{87} +(-2.74874 - 2.17386i) q^{88} +(9.16320 - 2.97730i) q^{89} +(2.86459 - 1.33946i) q^{90} +(10.8925 + 3.53920i) q^{91} +(0.0193637 - 0.242823i) q^{92} +(7.58513 - 7.58513i) q^{93} +(-6.52001 + 0.252790i) q^{94} +(-0.739818 + 10.1717i) q^{95} +(-4.14400 - 3.85062i) q^{96} +(-7.28707 - 1.15416i) q^{97} +(-4.29185 + 0.851392i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.275181 + 1.38718i 0.194582 + 0.980886i
\(3\) −0.987688 0.156434i −0.570242 0.0903175i
\(4\) −1.84855 + 0.763453i −0.924275 + 0.381726i
\(5\) −1.17964 1.89959i −0.527550 0.849524i
\(6\) −0.0547899 1.41315i −0.0223679 0.576917i
\(7\) −1.39751 + 1.39751i −0.528209 + 0.528209i −0.920038 0.391829i \(-0.871842\pi\)
0.391829 + 0.920038i \(0.371842\pi\)
\(8\) −1.56773 2.35419i −0.554278 0.832332i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) 2.31047 2.15910i 0.730635 0.682769i
\(11\) 1.17837 0.382876i 0.355293 0.115442i −0.125932 0.992039i \(-0.540192\pi\)
0.481225 + 0.876597i \(0.340192\pi\)
\(12\) 1.94522 0.464876i 0.561537 0.134198i
\(13\) −2.63087 5.16338i −0.729673 1.43206i −0.895111 0.445844i \(-0.852904\pi\)
0.165438 0.986220i \(-0.447096\pi\)
\(14\) −2.32317 1.55403i −0.620893 0.415333i
\(15\) 0.867952 + 2.06074i 0.224104 + 0.532081i
\(16\) 2.83428 2.82256i 0.708570 0.705640i
\(17\) −0.916613 5.78726i −0.222311 1.40362i −0.806132 0.591735i \(-0.798443\pi\)
0.583821 0.811882i \(-0.301557\pi\)
\(18\) −0.166950 + 1.40432i −0.0393506 + 0.331002i
\(19\) −3.68988 2.68086i −0.846518 0.615031i 0.0776661 0.996979i \(-0.475253\pi\)
−0.924184 + 0.381948i \(0.875253\pi\)
\(20\) 3.63087 + 2.61090i 0.811887 + 0.583815i
\(21\) 1.59892 1.16169i 0.348914 0.253501i
\(22\) 0.855385 + 1.52926i 0.182369 + 0.326039i
\(23\) −0.0552946 + 0.108522i −0.0115297 + 0.0226284i −0.896700 0.442640i \(-0.854042\pi\)
0.885170 + 0.465268i \(0.154042\pi\)
\(24\) 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
\(28\) 1.51644 3.65030i 0.286579 0.689842i
\(29\) 3.15410 + 4.34124i 0.585701 + 0.806148i 0.994306 0.106563i \(-0.0339847\pi\)
−0.408605 + 0.912711i \(0.633985\pi\)
\(30\) −2.61978 + 1.77108i −0.478305 + 0.323354i
\(31\) −6.30517 + 8.67832i −1.13244 + 1.55867i −0.349093 + 0.937088i \(0.613510\pi\)
−0.783348 + 0.621583i \(0.786490\pi\)
\(32\) 4.69535 + 3.15495i 0.830028 + 0.557721i
\(33\) −1.22376 + 0.193825i −0.213029 + 0.0337405i
\(34\) 7.77576 2.86405i 1.33353 0.491181i
\(35\) 4.30325 + 1.00615i 0.727383 + 0.170070i
\(36\) −1.99400 + 0.154853i −0.332333 + 0.0258088i
\(37\) −3.90325 + 1.98881i −0.641691 + 0.326958i −0.744381 0.667756i \(-0.767255\pi\)
0.102690 + 0.994713i \(0.467255\pi\)
\(38\) 2.70345 5.85626i 0.438558 0.950012i
\(39\) 1.79075 + 5.51137i 0.286750 + 0.882525i
\(40\) −2.62265 + 5.75515i −0.414677 + 0.909969i
\(41\) 1.88978 5.81615i 0.295134 0.908330i −0.688042 0.725671i \(-0.741530\pi\)
0.983176 0.182659i \(-0.0584704\pi\)
\(42\) 2.05146 + 1.89832i 0.316548 + 0.292918i
\(43\) −6.87625 6.87625i −1.04862 1.04862i −0.998756 0.0498626i \(-0.984122\pi\)
−0.0498626 0.998756i \(-0.515878\pi\)
\(44\) −1.88597 + 1.60740i −0.284321 + 0.242324i
\(45\) −0.534894 2.17115i −0.0797374 0.323656i
\(46\) −0.165756 0.0468406i −0.0244393 0.00690627i
\(47\) −0.721759 + 4.55701i −0.105279 + 0.664708i 0.877451 + 0.479666i \(0.159242\pi\)
−0.982731 + 0.185042i \(0.940758\pi\)
\(48\) −3.24093 + 2.34443i −0.467788 + 0.338390i
\(49\) 3.09393i 0.441990i
\(50\) −6.82694 1.84200i −0.965474 0.260498i
\(51\) 5.85940i 0.820481i
\(52\) 8.80530 + 7.53622i 1.22108 + 1.04509i
\(53\) 0.00324925 0.0205149i 0.000446318 0.00281794i −0.987464 0.157843i \(-0.949546\pi\)
0.987910 + 0.155025i \(0.0495459\pi\)
\(54\) 0.384580 1.36092i 0.0523347 0.185198i
\(55\) −2.11736 1.78677i −0.285505 0.240929i
\(56\) 5.48093 + 1.09908i 0.732420 + 0.146871i
\(57\) 3.22508 + 3.22508i 0.427172 + 0.427172i
\(58\) −5.15414 + 5.56993i −0.676772 + 0.731368i
\(59\) 2.84365 8.75185i 0.370212 1.13939i −0.576441 0.817139i \(-0.695559\pi\)
0.946653 0.322255i \(-0.104441\pi\)
\(60\) −3.17773 3.14675i −0.410243 0.406243i
\(61\) 0.217081 + 0.668108i 0.0277944 + 0.0855424i 0.963991 0.265933i \(-0.0856800\pi\)
−0.936197 + 0.351476i \(0.885680\pi\)
\(62\) −13.7735 6.35831i −1.74923 0.807506i
\(63\) −1.76096 + 0.897256i −0.221861 + 0.113044i
\(64\) −3.08442 + 7.38149i −0.385552 + 0.922686i
\(65\) −6.70485 + 11.0885i −0.831634 + 1.37536i
\(66\) −0.605625 1.64424i −0.0745473 0.202392i
\(67\) 7.05089 1.11675i 0.861403 0.136433i 0.289924 0.957050i \(-0.406370\pi\)
0.571479 + 0.820617i \(0.306370\pi\)
\(68\) 6.11271 + 9.99826i 0.741275 + 1.21247i
\(69\) 0.0715904 0.0985357i 0.00861847 0.0118623i
\(70\) −0.211536 + 6.24627i −0.0252834 + 0.746572i
\(71\) −4.63594 6.38083i −0.550185 0.757265i 0.439852 0.898070i \(-0.355031\pi\)
−0.990037 + 0.140805i \(0.955031\pi\)
\(72\) −0.763519 2.72342i −0.0899816 0.320959i
\(73\) −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
\(78\) −7.15249 + 4.00072i −0.809860 + 0.452993i
\(79\) 10.1840 7.39910i 1.14579 0.832463i 0.157872 0.987460i \(-0.449537\pi\)
0.987915 + 0.154996i \(0.0495365\pi\)
\(80\) −8.70514 2.05438i −0.973265 0.229687i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 8.58809 + 1.02098i 0.948396 + 0.112748i
\(83\) −0.455567 2.87634i −0.0500050 0.315719i −0.999994 0.00343616i \(-0.998906\pi\)
0.949989 0.312283i \(-0.101094\pi\)
\(84\) −2.06880 + 3.36814i −0.225724 + 0.367494i
\(85\) −9.91218 + 8.56806i −1.07513 + 0.929337i
\(86\) 7.64640 11.4308i 0.824533 1.23262i
\(87\) −2.43614 4.78120i −0.261182 0.512599i
\(88\) −2.74874 2.17386i −0.293017 0.231735i
\(89\) 9.16320 2.97730i 0.971297 0.315594i 0.219958 0.975509i \(-0.429408\pi\)
0.751340 + 0.659916i \(0.229408\pi\)
\(90\) 2.86459 1.33946i 0.301954 0.141191i
\(91\) 10.8925 + 3.53920i 1.14185 + 0.371009i
\(92\) 0.0193637 0.242823i 0.00201880 0.0253160i
\(93\) 7.58513 7.58513i 0.786541 0.786541i
\(94\) −6.52001 + 0.252790i −0.672488 + 0.0260733i
\(95\) −0.739818 + 10.1717i −0.0759037 + 1.04360i
\(96\) −4.14400 3.85062i −0.422945 0.393002i
\(97\) −7.28707 1.15416i −0.739890 0.117187i −0.224898 0.974382i \(-0.572205\pi\)
−0.514992 + 0.857195i \(0.672205\pi\)
\(98\) −4.29185 + 0.851392i −0.433542 + 0.0860035i
\(99\) 1.23901 0.124526
\(100\) 0.676542 9.97709i 0.0676542 0.997709i
\(101\) −5.34748 −0.532094 −0.266047 0.963960i \(-0.585718\pi\)
−0.266047 + 0.963960i \(0.585718\pi\)
\(102\) −8.12806 + 1.61240i −0.804798 + 0.159651i
\(103\) −1.35980 0.215371i −0.133985 0.0212212i 0.0890816 0.996024i \(-0.471607\pi\)
−0.223067 + 0.974803i \(0.571607\pi\)
\(104\) −8.03107 + 14.2884i −0.787511 + 1.40109i
\(105\) −4.09288 1.66694i −0.399424 0.162676i
\(106\) 0.0293521 0.00113802i 0.00285093 0.000110534i
\(107\) −4.98173 + 4.98173i −0.481602 + 0.481602i −0.905643 0.424041i \(-0.860611\pi\)
0.424041 + 0.905643i \(0.360611\pi\)
\(108\) 1.99367 + 0.158983i 0.191841 + 0.0152982i
\(109\) 17.6116 + 5.72235i 1.68688 + 0.548102i 0.986227 0.165397i \(-0.0528905\pi\)
0.700657 + 0.713499i \(0.252890\pi\)
\(110\) 1.89592 3.42885i 0.180769 0.326928i
\(111\) 4.16632 1.35372i 0.395449 0.128489i
\(112\) −0.0163767 + 7.90549i −0.00154746 + 0.746999i
\(113\) 3.70475 + 7.27098i 0.348514 + 0.683997i 0.997014 0.0772176i \(-0.0246036\pi\)
−0.648501 + 0.761214i \(0.724604\pi\)
\(114\) −3.58629 + 5.36125i −0.335887 + 0.502127i
\(115\) 0.271375 0.0229790i 0.0253058 0.00214280i
\(116\) −9.14484 5.61700i −0.849077 0.521525i
\(117\) −0.906537 5.72365i −0.0838094 0.529152i
\(118\) 12.9229 + 1.53632i 1.18965 + 0.141429i
\(119\) 9.36873 + 6.80678i 0.858830 + 0.623977i
\(120\) 3.49066 5.27402i 0.318652 0.481450i
\(121\) −7.65722 + 5.56330i −0.696111 + 0.505754i
\(122\) −0.867051 + 0.484982i −0.0784991 + 0.0439082i
\(123\) −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 0.192378 0.981321i \(-0.438380\pi\)
−0.680828 + 0.732443i \(0.738380\pi\)
\(128\) −11.0882 2.24741i −0.980072 0.198645i
\(129\) 5.71591 + 7.86728i 0.503258 + 0.692675i
\(130\) −17.2268 6.24950i −1.51089 0.548118i
\(131\) 1.66608 2.29316i 0.145566 0.200354i −0.730008 0.683439i \(-0.760484\pi\)
0.875574 + 0.483085i \(0.160484\pi\)
\(132\) 2.11421 1.29258i 0.184018 0.112504i
\(133\) 8.90317 1.41012i 0.772003 0.122273i
\(134\) 3.48941 + 9.47356i 0.301439 + 0.818391i
\(135\) 0.188666 + 2.22809i 0.0162378 + 0.191764i
\(136\) −12.1873 + 11.2308i −1.04505 + 0.963031i
\(137\) 7.68229 3.91432i 0.656342 0.334423i −0.0939045 0.995581i \(-0.529935\pi\)
0.750246 + 0.661158i \(0.229935\pi\)
\(138\) 0.156387 + 0.0721938i 0.0133126 + 0.00614554i
\(139\) −3.17990 9.78673i −0.269716 0.830100i −0.990569 0.137012i \(-0.956250\pi\)
0.720854 0.693087i \(-0.243750\pi\)
\(140\) −8.72293 + 1.42542i −0.737222 + 0.120470i
\(141\) 1.42575 4.38799i 0.120069 0.369536i
\(142\) 7.57565 8.18678i 0.635734 0.687019i
\(143\) −5.07708 5.07708i −0.424567 0.424567i
\(144\) 3.56778 1.80858i 0.297315 0.150715i
\(145\) 4.52591 11.1126i 0.375856 0.922850i
\(146\) 2.04535 7.23790i 0.169274 0.599013i
\(147\) 0.483998 3.05584i 0.0399195 0.252042i
\(148\) 5.69700 6.65636i 0.468291 0.547149i
\(149\) 21.2963i 1.74466i −0.488914 0.872332i \(-0.662607\pi\)
0.488914 0.872332i \(-0.337393\pi\)
\(150\) 6.45473 + 2.88729i 0.527027 + 0.235746i
\(151\) 3.72566i 0.303190i 0.988443 + 0.151595i \(0.0484409\pi\)
−0.988443 + 0.151595i \(0.951559\pi\)
\(152\) −0.526490 + 12.8896i −0.0427040 + 1.04548i
\(153\) 0.916613 5.78726i 0.0741037 0.467873i
\(154\) −3.33256 0.941743i −0.268545 0.0758878i
\(155\) 23.9231 + 1.73999i 1.92155 + 0.139760i
\(156\) −7.51797 8.82089i −0.601919 0.706236i
\(157\) 9.67619 + 9.67619i 0.772244 + 0.772244i 0.978498 0.206254i \(-0.0661274\pi\)
−0.206254 + 0.978498i \(0.566127\pi\)
\(158\) 13.0663 + 12.0910i 1.03950 + 0.961904i
\(159\) −0.00641848 + 0.0197541i −0.000509019 + 0.00156660i
\(160\) 0.454316 12.6409i 0.0359168 0.999355i
\(161\) −0.0743855 0.228935i −0.00586240 0.0180426i
\(162\) −0.592739 + 1.28400i −0.0465700 + 0.100881i
\(163\) 20.6862 10.5402i 1.62027 0.825569i 0.621148 0.783693i \(-0.286666\pi\)
0.999123 0.0418764i \(-0.0133336\pi\)
\(164\) 0.946997 + 12.1942i 0.0739480 + 0.952207i
\(165\) 1.81178 + 2.09600i 0.141047 + 0.163174i
\(166\) 3.86464 1.42347i 0.299955 0.110483i
\(167\) −19.6135 + 3.10647i −1.51773 + 0.240386i −0.858995 0.511985i \(-0.828910\pi\)
−0.658740 + 0.752370i \(0.728910\pi\)
\(168\) −5.24151 1.94295i −0.404392 0.149902i
\(169\) −12.0978 + 16.6512i −0.930599 + 1.28086i
\(170\) −14.6131 11.3922i −1.12077 0.873745i
\(171\) −2.68086 3.68988i −0.205010 0.282173i
\(172\) 17.9608 + 7.46141i 1.36950 + 0.568927i
\(173\) −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
\(178\) 6.65160 + 11.8917i 0.498559 + 0.891323i
\(179\) 4.51834 3.28277i 0.337717 0.245366i −0.405981 0.913882i \(-0.633070\pi\)
0.743698 + 0.668516i \(0.233070\pi\)
\(180\) 2.64635 + 3.60511i 0.197247 + 0.268709i
\(181\) −4.12766 2.99892i −0.306807 0.222908i 0.423718 0.905794i \(-0.360725\pi\)
−0.730525 + 0.682886i \(0.760725\pi\)
\(182\) −1.91210 + 16.0839i −0.141734 + 1.19222i
\(183\) −0.109894 0.693841i −0.00812357 0.0512902i
\(184\) 0.342168 0.0399593i 0.0252250 0.00294584i
\(185\) 8.38235 + 5.06853i 0.616282 + 0.372645i
\(186\) 12.6092 + 8.43467i 0.924554 + 0.618460i
\(187\) −3.29592 6.46860i −0.241021 0.473031i
\(188\) −2.14485 8.97489i −0.156429 0.654561i
\(189\) 1.87965 0.610734i 0.136724 0.0444244i
\(190\) −14.3136 + 1.77280i −1.03842 + 0.128613i
\(191\) 2.86970 + 0.932423i 0.207645 + 0.0674678i 0.410992 0.911639i \(-0.365182\pi\)
−0.203348 + 0.979107i \(0.565182\pi\)
\(192\) 4.20116 6.80810i 0.303193 0.491332i
\(193\) 10.1768 10.1768i 0.732542 0.732542i −0.238581 0.971123i \(-0.576682\pi\)
0.971123 + 0.238581i \(0.0766822\pi\)
\(194\) −0.404235 10.4261i −0.0290224 0.748550i
\(195\) 8.35693 9.90312i 0.598452 0.709177i
\(196\) −2.36207 5.71929i −0.168719 0.408521i
\(197\) 0.100082 + 0.0158515i 0.00713057 + 0.00112937i 0.159999 0.987117i \(-0.448851\pi\)
−0.152868 + 0.988247i \(0.548851\pi\)
\(198\) 0.340953 + 1.71874i 0.0242305 + 0.122145i
\(199\) −13.0628 −0.926000 −0.463000 0.886358i \(-0.653227\pi\)
−0.463000 + 0.886358i \(0.653227\pi\)
\(200\) 14.0262 1.80702i 0.991803 0.127775i
\(201\) −7.13878 −0.503531
\(202\) −1.47153 7.41793i −0.103536 0.521924i
\(203\) −10.4748 1.65905i −0.735187 0.116442i
\(204\) −4.47338 10.8314i −0.313199 0.758350i
\(205\) −13.2776 + 3.27113i −0.927346 + 0.228465i
\(206\) −0.0754320 1.94556i −0.00525560 0.135553i
\(207\) −0.0861234 + 0.0861234i −0.00598599 + 0.00598599i
\(208\) −22.0306 7.20866i −1.52755 0.499831i
\(209\) −5.37450 1.74628i −0.371762 0.120793i
\(210\) 1.18606 6.13628i 0.0818462 0.423443i
\(211\) −26.4223 + 8.58513i −1.81899 + 0.591025i −0.819140 + 0.573594i \(0.805549\pi\)
−0.999848 + 0.0174306i \(0.994451\pi\)
\(212\) 0.00965578 + 0.0404035i 0.000663162 + 0.00277493i
\(213\) 3.58068 + 7.02749i 0.245344 + 0.481516i
\(214\) −8.28144 5.53969i −0.566108 0.378685i
\(215\) −4.95061 + 21.1736i −0.337629 + 1.44403i
\(216\) 0.328082 + 2.80933i 0.0223231 + 0.191151i
\(217\) −3.31650 20.9396i −0.225139 1.42147i
\(218\) −3.09157 + 26.0052i −0.209388 + 1.76129i
\(219\) 4.30267 + 3.12607i 0.290748 + 0.211241i
\(220\) 5.27817 + 1.68644i 0.355854 + 0.113700i
\(221\) −27.4703 + 19.9584i −1.84786 + 1.34255i
\(222\) 3.02434 + 5.40692i 0.202981 + 0.362889i
\(223\) 5.31608 10.4334i 0.355991 0.698672i −0.641673 0.766978i \(-0.721759\pi\)
0.997664 + 0.0683061i \(0.0217595\pi\)
\(224\) −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 0.689189 0.724582i \(-0.257967\pi\)
−0.181104 + 0.983464i \(0.557967\pi\)
\(228\) −8.42391 3.49953i −0.557887 0.231762i
\(229\) −4.14701 5.70787i −0.274042 0.377187i 0.649707 0.760185i \(-0.274892\pi\)
−0.923749 + 0.382998i \(0.874892\pi\)
\(230\) 0.106553 + 0.370123i 0.00702591 + 0.0244052i
\(231\) 1.43934 1.98109i 0.0947019 0.130346i
\(232\) 5.27532 14.2312i 0.346342 0.934327i
\(233\) 17.7542 2.81199i 1.16312 0.184220i 0.455117 0.890432i \(-0.349597\pi\)
0.708000 + 0.706212i \(0.249597\pi\)
\(234\) 7.69029 2.83257i 0.502730 0.185171i
\(235\) 9.50787 4.00456i 0.620225 0.261229i
\(236\) 1.42499 + 18.3492i 0.0927592 + 1.19443i
\(237\) −11.2161 + 5.71488i −0.728562 + 0.371221i
\(238\) −6.86415 + 14.8692i −0.444937 + 0.963830i
\(239\) −3.97832 12.2440i −0.257336 0.792000i −0.993360 0.115045i \(-0.963299\pi\)
0.736024 0.676956i \(-0.236701\pi\)
\(240\) 8.27659 + 3.39088i 0.534252 + 0.218880i
\(241\) 3.86025 11.8806i 0.248661 0.765298i −0.746352 0.665551i \(-0.768197\pi\)
0.995013 0.0997473i \(-0.0318034\pi\)
\(242\) −9.82443 9.09105i −0.631538 0.584395i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) −0.911355 1.06930i −0.0583435 0.0684549i
\(245\) 5.87722 3.64972i 0.375482 0.233172i
\(246\) −8.32264 2.35188i −0.530632 0.149950i
\(247\) −4.13467 + 26.1053i −0.263083 + 1.66104i
\(248\) 30.3152 + 1.23826i 1.92502 + 0.0786298i
\(249\) 2.91219i 0.184553i
\(250\) 4.55426 + 15.1413i 0.288037 + 0.957619i
\(251\) 7.61447i 0.480621i −0.970696 0.240310i \(-0.922751\pi\)
0.970696 0.240310i \(-0.0772492\pi\)
\(252\) 2.57022 3.00304i 0.161909 0.189174i
\(253\) −0.0236072 + 0.149050i −0.00148417 + 0.00937070i
\(254\) 2.37590 8.40763i 0.149077 0.527541i
\(255\) 11.1305 6.91197i 0.697018 0.432844i
\(256\) 0.0662898 15.9999i 0.00414311 0.999991i
\(257\) 2.44416 + 2.44416i 0.152462 + 0.152462i 0.779217 0.626755i \(-0.215617\pi\)
−0.626755 + 0.779217i \(0.715617\pi\)
\(258\) −9.34044 + 10.0939i −0.581510 + 0.628421i
\(259\) 2.67546 8.23421i 0.166245 0.511649i
\(260\) 3.92871 25.6165i 0.243648 1.58867i
\(261\) 1.65821 + 5.10343i 0.102640 + 0.315895i
\(262\) 3.63950 + 1.68012i 0.224849 + 0.103798i
\(263\) −15.1052 + 7.69647i −0.931424 + 0.474584i −0.852752 0.522316i \(-0.825068\pi\)
−0.0786724 + 0.996901i \(0.525068\pi\)
\(264\) 2.37483 + 2.57710i 0.146161 + 0.158609i
\(265\) −0.0428030 + 0.0180279i −0.00262937 + 0.00110745i
\(266\) 4.40608 + 11.9623i 0.270154 + 0.733455i
\(267\) −9.51614 + 1.50721i −0.582378 + 0.0922397i
\(268\) −12.1813 + 7.44739i −0.744094 + 0.454922i
\(269\) −8.95792 + 12.3295i −0.546174 + 0.751744i −0.989487 0.144623i \(-0.953803\pi\)
0.443313 + 0.896367i \(0.353803\pi\)
\(270\) −3.03886 + 0.874844i −0.184939 + 0.0532413i
\(271\) 18.2940 + 25.1795i 1.11128 + 1.52954i 0.819519 + 0.573052i \(0.194241\pi\)
0.291759 + 0.956492i \(0.405759\pi\)
\(272\) −18.9328 13.8155i −1.14797 0.837690i
\(273\) −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 \(0.228025\pi\)
\(278\) 12.7009 7.10423i 0.761752 0.426083i
\(279\) −8.67832 + 6.30517i −0.519557 + 0.377480i
\(280\) −4.37770 11.7080i −0.261618 0.699690i
\(281\) −7.55906 5.49198i −0.450936 0.327624i 0.339029 0.940776i \(-0.389901\pi\)
−0.789965 + 0.613152i \(0.789901\pi\)
\(282\) 6.47929 + 0.770277i 0.385836 + 0.0458693i
\(283\) 2.54702 + 16.0813i 0.151405 + 0.955933i 0.940038 + 0.341069i \(0.110789\pi\)
−0.788633 + 0.614864i \(0.789211\pi\)
\(284\) 13.4412 + 8.25596i 0.797590 + 0.489901i
\(285\) 2.32192 9.93076i 0.137539 0.588247i
\(286\) 5.64573 8.43996i 0.333839 0.499065i
\(287\) 5.48714 + 10.7691i 0.323895 + 0.635681i
\(288\) 3.49061 + 4.45148i 0.205686 + 0.262306i
\(289\) −16.4843 + 5.35607i −0.969664 + 0.315063i
\(290\) 16.6606 + 3.22028i 0.978346 + 0.189102i
\(291\) 7.01680 + 2.27990i 0.411332 + 0.133650i
\(292\) 10.6031 + 0.845536i 0.620501 + 0.0494813i
\(293\) −12.7759 + 12.7759i −0.746377 + 0.746377i −0.973797 0.227420i \(-0.926971\pi\)
0.227420 + 0.973797i \(0.426971\pi\)
\(294\) 4.37220 0.169516i 0.254992 0.00988639i
\(295\) −19.9794 + 4.92223i −1.16325 + 0.286583i
\(296\) 10.8013 + 6.07108i 0.627812 + 0.352874i
\(297\) −1.22376 0.193825i −0.0710097 0.0112468i
\(298\) 29.5419 5.86035i 1.71132 0.339481i
\(299\) 0.705812 0.0408182
\(300\) −2.22897 + 9.74842i −0.128690 + 0.562825i
\(301\) 19.2193 1.10778
\(302\) −5.16817 + 1.02523i −0.297395 + 0.0589954i
\(303\) 5.28164 + 0.836530i 0.303423 + 0.0480574i
\(304\) −18.0251 + 2.81662i −1.03381 + 0.161544i
\(305\) 1.01306 1.20049i 0.0580074 0.0687399i
\(306\) 8.28023 0.321036i 0.473349 0.0183524i
\(307\) 0.652214 0.652214i 0.0372238 0.0372238i −0.688250 0.725474i \(-0.741621\pi\)
0.725474 + 0.688250i \(0.241621\pi\)
\(308\) 0.389312 4.88202i 0.0221831 0.278179i
\(309\) 1.30937 + 0.425439i 0.0744873 + 0.0242024i
\(310\) 4.16949 + 33.6645i 0.236811 + 1.91201i
\(311\) 12.8402 4.17202i 0.728098 0.236573i 0.0785675 0.996909i \(-0.474965\pi\)
0.649531 + 0.760335i \(0.274965\pi\)
\(312\) 10.1674 12.8561i 0.575615 0.727835i
\(313\) 6.05363 + 11.8809i 0.342171 + 0.671549i 0.996403 0.0847455i \(-0.0270077\pi\)
−0.654231 + 0.756295i \(0.727008\pi\)
\(314\) −10.7599 + 16.0854i −0.607219 + 0.907749i
\(315\) 3.78172 + 2.28668i 0.213076 + 0.128840i
\(316\) −13.1767 + 21.4526i −0.741250 + 1.20680i
\(317\) −4.07058 25.7006i −0.228627 1.44349i −0.788562 0.614956i \(-0.789174\pi\)
0.559935 0.828536i \(-0.310826\pi\)
\(318\) −0.0291687 0.00346767i −0.00163570 0.000194457i
\(319\) 5.37886 + 3.90797i 0.301158 + 0.218804i
\(320\) 17.6603 2.84833i 0.987242 0.159227i
\(321\) 5.69971 4.14108i 0.318127 0.231133i
\(322\) 0.297105 0.166185i 0.0165570 0.00926112i
\(323\) −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
\(328\) −16.6550 + 4.66927i −0.919618 + 0.257817i
\(329\) −5.35980 7.37713i −0.295495 0.406714i
\(330\) −2.40897 + 3.09005i −0.132610 + 0.170102i
\(331\) −2.57253 + 3.54078i −0.141399 + 0.194619i −0.873843 0.486208i \(-0.838380\pi\)
0.732444 + 0.680827i \(0.238380\pi\)
\(332\) 3.03809 + 4.96926i 0.166737 + 0.272723i
\(333\) −4.32679 + 0.685296i −0.237107 + 0.0375540i
\(334\) −9.70649 26.3526i −0.531115 1.44195i
\(335\) −10.4389 12.0765i −0.570336 0.659808i
\(336\) 1.25287 7.80560i 0.0683495 0.425830i
\(337\) 18.8970 9.62852i 1.02939 0.524499i 0.144109 0.989562i \(-0.453968\pi\)
0.885278 + 0.465063i \(0.153968\pi\)
\(338\) −26.4273 12.1997i −1.43746 0.663579i
\(339\) −2.52171 7.76102i −0.136960 0.421521i
\(340\) 11.7819 23.4060i 0.638961 1.26937i
\(341\) −4.10711 + 12.6404i −0.222413 + 0.684515i
\(342\) 4.38082 4.73423i 0.236888 0.255998i
\(343\) −14.1064 14.1064i −0.761672 0.761672i
\(344\) −5.40787 + 26.9681i −0.291573 + 1.45402i
\(345\) −0.271628 0.0197563i −0.0146240 0.00106364i
\(346\) 0.351303 1.24316i 0.0188862 0.0668328i
\(347\) 5.32267 33.6060i 0.285736 1.80407i −0.259457 0.965755i \(-0.583544\pi\)
0.545193 0.838311i \(-0.316456\pi\)
\(348\) 8.15356 + 6.97841i 0.437076 + 0.374082i
\(349\) 30.3857i 1.62651i −0.581907 0.813255i \(-0.697693\pi\)
0.581907 0.813255i \(-0.302307\pi\)
\(350\) 12.1149 6.96650i 0.647570 0.372375i
\(351\) 5.79500i 0.309314i
\(352\) 6.74083 + 1.91997i 0.359287 + 0.102335i
\(353\) −2.80838 + 17.7314i −0.149475 + 0.943750i 0.792939 + 0.609301i \(0.208550\pi\)
−0.942414 + 0.334448i \(0.891450\pi\)
\(354\) −12.5235 3.53899i −0.665616 0.188095i
\(355\) −6.65225 + 16.3335i −0.353065 + 0.866890i
\(356\) −14.6656 + 12.4994i −0.777276 + 0.662465i
\(357\) −8.18857 8.18857i −0.433385 0.433385i
\(358\) 5.79716 + 5.36441i 0.306390 + 0.283518i
\(359\) −8.29609 + 25.5327i −0.437851 + 1.34757i 0.452286 + 0.891873i \(0.350609\pi\)
−0.890137 + 0.455694i \(0.849391\pi\)
\(360\) −4.27272 + 4.66303i −0.225192 + 0.245763i
\(361\) 0.556924 + 1.71404i 0.0293118 + 0.0902124i
\(362\) 3.02420 6.55107i 0.158948 0.344317i
\(363\) 8.43324 4.29695i 0.442630 0.225531i
\(364\) −22.8374 + 1.77355i −1.19701 + 0.0929591i
\(365\) 1.00340 + 11.8499i 0.0525205 + 0.620251i
\(366\) 0.932244 0.343375i 0.0487292 0.0179485i
\(367\) 13.8004 2.18576i 0.720373 0.114096i 0.214525 0.976719i \(-0.431180\pi\)
0.505848 + 0.862623i \(0.331180\pi\)
\(368\) 0.149589 + 0.463653i 0.00779786 + 0.0241696i
\(369\) 3.59458 4.94751i 0.187126 0.257557i
\(370\) −4.72431 + 13.0226i −0.245605 + 0.677013i
\(371\) 0.0241290 + 0.0332107i 0.00125271 + 0.00172421i
\(372\) −8.23061 + 19.8124i −0.426737 + 1.02722i
\(373\) −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
\(378\) 1.36444 + 2.43935i 0.0701794 + 0.125467i
\(379\) −1.79232 + 1.30219i −0.0920651 + 0.0668892i −0.632866 0.774262i \(-0.718121\pi\)
0.540800 + 0.841151i \(0.318121\pi\)
\(380\) −6.39803 19.3678i −0.328212 0.993545i
\(381\) 4.99803 + 3.63128i 0.256057 + 0.186036i
\(382\) −0.503753 + 4.23739i −0.0257743 + 0.216804i
\(383\) −3.80588 24.0294i −0.194471 1.22784i −0.870946 0.491378i \(-0.836493\pi\)
0.676475 0.736465i \(-0.263507\pi\)
\(384\) 10.6002 + 3.95432i 0.540937 + 0.201793i
\(385\) 5.45607 0.461999i 0.278067 0.0235456i
\(386\) 16.9175 + 11.3166i 0.861080 + 0.576000i
\(387\) −4.41483 8.66458i −0.224418 0.440446i
\(388\) 14.3517 3.42981i 0.728595 0.174122i
\(389\) −25.8405 + 8.39608i −1.31016 + 0.425698i −0.879106 0.476626i \(-0.841860\pi\)
−0.431058 + 0.902324i \(0.641860\pi\)
\(390\) 16.0371 + 8.86743i 0.812070 + 0.449020i
\(391\) 0.678728 + 0.220532i 0.0343247 + 0.0111528i
\(392\) 7.28371 4.85046i 0.367883 0.244985i
\(393\) −2.00429 + 2.00429i −0.101103 + 0.101103i
\(394\) 0.00555186 + 0.143195i 0.000279698 + 0.00721404i
\(395\) −26.0687 10.6172i −1.31166 0.534209i
\(396\) −2.29038 + 0.945929i −0.115096 + 0.0475347i
\(397\) −9.09792 1.44097i −0.456611 0.0723201i −0.0761078 0.997100i \(-0.524249\pi\)
−0.380504 + 0.924779i \(0.624249\pi\)
\(398\) −3.59464 18.1205i −0.180183 0.908300i
\(399\) −9.01415 −0.451272
\(400\) 6.36641 + 18.9597i 0.318321 + 0.947983i
\(401\) −29.1170 −1.45404 −0.727018 0.686619i \(-0.759094\pi\)
−0.727018 + 0.686619i \(0.759094\pi\)
\(402\) −1.96446 9.90279i −0.0979782 0.493906i
\(403\) 61.3975 + 9.72441i 3.05843 + 0.484408i
\(404\) 9.88509 4.08255i 0.491802 0.203114i
\(405\) 0.162207 2.23018i 0.00806014 0.110818i
\(406\) −0.581067 14.9870i −0.0288379 0.743792i
\(407\) −3.83802 + 3.83802i −0.190244 + 0.190244i
\(408\) 13.7941 9.18599i 0.682912 0.454774i
\(409\) 15.5052 + 5.03794i 0.766682 + 0.249110i 0.666144 0.745823i \(-0.267944\pi\)
0.100538 + 0.994933i \(0.467944\pi\)
\(410\) −8.19139 17.5183i −0.404544 0.865166i
\(411\) −8.20004 + 2.66435i −0.404478 + 0.131423i
\(412\) 2.67809 0.640019i 0.131940 0.0315314i
\(413\) 8.25677 + 16.2048i 0.406289 + 0.797387i
\(414\) −0.143168 0.0957693i −0.00703634 0.00470680i
\(415\) −4.92647 + 4.25843i −0.241831 + 0.209038i
\(416\) 3.93733 32.5441i 0.193044 1.59561i
\(417\) 1.60977 + 10.1637i 0.0788308 + 0.497718i
\(418\) 0.943449 7.93595i 0.0461456 0.388160i
\(419\) 12.1001 + 8.79126i 0.591130 + 0.429481i 0.842720 0.538353i \(-0.180953\pi\)
−0.251589 + 0.967834i \(0.580953\pi\)
\(420\) 8.83852 0.0433006i 0.431276 0.00211285i
\(421\) 8.70096 6.32162i 0.424059 0.308097i −0.355210 0.934787i \(-0.615591\pi\)
0.779269 + 0.626690i \(0.215591\pi\)
\(422\) −19.1801 34.2901i −0.933671 1.66922i
\(423\) −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
\(428\) 5.40566 13.0123i 0.261293 0.628973i
\(429\) 4.22035 + 5.80881i 0.203760 + 0.280452i
\(430\) −30.7339 1.04083i −1.48212 0.0501934i
\(431\) 3.12873 4.30632i 0.150705 0.207428i −0.726989 0.686649i \(-0.759081\pi\)
0.877694 + 0.479221i \(0.159081\pi\)
\(432\) −3.80678 + 1.22818i −0.183154 + 0.0590911i
\(433\) −10.9195 + 1.72947i −0.524755 + 0.0831131i −0.413191 0.910644i \(-0.635586\pi\)
−0.111564 + 0.993757i \(0.535586\pi\)
\(434\) 28.1344 10.3628i 1.35049 0.497428i
\(435\) −6.20858 + 10.2678i −0.297678 + 0.492302i
\(436\) −36.9247 + 2.86755i −1.76837 + 0.137331i
\(437\) 0.494962 0.252196i 0.0236772 0.0120642i
\(438\) −3.15242 + 6.82883i −0.150629 + 0.326294i
\(439\) 3.08468 + 9.49368i 0.147224 + 0.453109i 0.997290 0.0735669i \(-0.0234383\pi\)
−0.850066 + 0.526676i \(0.823438\pi\)
\(440\) −0.886946 + 7.78586i −0.0422835 + 0.371176i
\(441\) −0.956078 + 2.94251i −0.0455275 + 0.140119i
\(442\) −35.2452 32.6142i −1.67644 1.55130i
\(443\) −18.8815 18.8815i −0.897089 0.897089i 0.0980884 0.995178i \(-0.468727\pi\)
−0.995178 + 0.0980884i \(0.968727\pi\)
\(444\) −6.66815 + 5.68320i −0.316456 + 0.269713i
\(445\) −16.4649 13.8942i −0.780512 0.658649i
\(446\) 15.9359 + 4.50330i 0.754587 + 0.213238i
\(447\) −3.33148 + 21.0341i −0.157574 + 0.994881i
\(448\) −6.00519 14.6262i −0.283719 0.691023i
\(449\) 37.5326i 1.77127i −0.464381 0.885635i \(-0.653723\pi\)
0.464381 0.885635i \(-0.346277\pi\)
\(450\) −5.92359 3.86148i −0.279241 0.182032i
\(451\) 7.57714i 0.356794i
\(452\) −12.3995 10.6124i −0.583222 0.499164i
\(453\) 0.582821 3.67979i 0.0273833 0.172892i
\(454\) −3.30411 + 11.6923i −0.155070 + 0.548747i
\(455\) −6.12620 24.8664i −0.287201 1.16575i
\(456\) 2.53638 12.6485i 0.118777 0.592321i
\(457\) −5.19425 5.19425i −0.242977 0.242977i 0.575104 0.818081i \(-0.304962\pi\)
−0.818081 + 0.575104i \(0.804962\pi\)
\(458\) 6.77668 7.32336i 0.316654 0.342198i
\(459\) −1.81066 + 5.57262i −0.0845141 + 0.260108i
\(460\) −0.484107 + 0.249660i −0.0225716 + 0.0116404i
\(461\) −0.978097 3.01027i −0.0455545 0.140202i 0.925692 0.378278i \(-0.123484\pi\)
−0.971247 + 0.238075i \(0.923484\pi\)
\(462\) 3.14421 + 1.45148i 0.146282 + 0.0675288i
\(463\) −13.3799 + 6.81738i −0.621815 + 0.316830i −0.736362 0.676587i \(-0.763458\pi\)
0.114548 + 0.993418i \(0.463458\pi\)
\(464\) 21.1930 + 3.40166i 0.983861 + 0.157918i
\(465\) −23.3564 5.46097i −1.08312 0.253246i
\(466\) 8.78637 + 23.8545i 0.407021 + 1.10504i
\(467\) 28.7602 4.55517i 1.33086 0.210788i 0.549830 0.835276i \(-0.314692\pi\)
0.781034 + 0.624488i \(0.214692\pi\)
\(468\) 6.04552 + 9.88836i 0.279454 + 0.457090i
\(469\) −8.29302 + 11.4144i −0.382936 + 0.527066i
\(470\) 8.17145 + 12.0872i 0.376921 + 0.557540i
\(471\) −8.04337 11.0708i −0.370619 0.510113i
\(472\) −25.0616 + 7.02609i −1.15355 + 0.323402i
\(473\) −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
\(478\) 15.8899 8.88799i 0.726789 0.406527i
\(479\) 28.4711 20.6854i 1.30088 0.945142i 0.300913 0.953652i \(-0.402709\pi\)
0.999964 + 0.00850960i \(0.00270872\pi\)
\(480\) −2.42620 + 12.4142i −0.110740 + 0.566630i
\(481\) 20.5379 + 14.9217i 0.936449 + 0.680370i
\(482\) 17.5429 + 2.08555i 0.799056 + 0.0949941i
\(483\) 0.0376563 + 0.237753i 0.00171342 + 0.0108181i
\(484\) 9.90745 16.1300i 0.450339 0.733180i
\(485\) 6.40366 + 15.2040i 0.290775 + 0.690376i
\(486\) 0.786304 1.17547i 0.0356675 0.0533203i
\(487\) 1.88944 + 3.70823i 0.0856186 + 0.168036i 0.929846 0.367950i \(-0.119940\pi\)
−0.844227 + 0.535986i \(0.819940\pi\)
\(488\) 1.23253 1.55847i 0.0557939 0.0705485i
\(489\) −22.0804 + 7.17436i −0.998510 + 0.324436i
\(490\) 6.68012 + 7.14844i 0.301777 + 0.322934i
\(491\) −38.8459 12.6218i −1.75309 0.569614i −0.756645 0.653826i \(-0.773163\pi\)
−0.996448 + 0.0842114i \(0.973163\pi\)
\(492\) 0.972256 12.1922i 0.0438327 0.549668i
\(493\) 22.2328 22.2328i 1.00132 1.00132i
\(494\) −37.3506 + 1.44813i −1.68048 + 0.0651546i
\(495\) −1.46159 2.35362i −0.0656934 0.105788i
\(496\) 6.62448 + 42.3935i 0.297448 + 1.90352i
\(497\) 15.3960 + 2.43849i 0.690607 + 0.109381i
\(498\) −4.03974 + 0.801380i −0.181025 + 0.0359107i
\(499\) −26.9181 −1.20502 −0.602510 0.798111i \(-0.705833\pi\)
−0.602510 + 0.798111i \(0.705833\pi\)
\(500\) −19.7505 + 10.4842i −0.883269 + 0.468867i
\(501\) 19.8579 0.887187
\(502\) 10.5627 2.09536i 0.471434 0.0935203i
\(503\) 15.6815 + 2.48371i 0.699205 + 0.110743i 0.495909 0.868374i \(-0.334835\pi\)
0.203296 + 0.979117i \(0.434835\pi\)
\(504\) 4.87304 + 2.73899i 0.217062 + 0.122004i
\(505\) 6.30809 + 10.1580i 0.280706 + 0.452027i
\(506\) −0.213256 + 0.00826823i −0.00948038 + 0.000367568i
\(507\) 14.5537 14.5537i 0.646351 0.646351i
\(508\) 12.3167 + 0.982184i 0.546466 + 0.0435774i
\(509\) −16.5749 5.38552i −0.734670 0.238709i −0.0822982 0.996608i \(-0.526226\pi\)
−0.652372 + 0.757899i \(0.726226\pi\)
\(510\) 12.6511 + 13.5380i 0.560198 + 0.599472i
\(511\) 9.99670 3.24813i 0.442228 0.143689i
\(512\) 22.2130 4.31090i 0.981684 0.190517i
\(513\) 2.07063 + 4.06383i 0.0914204 + 0.179423i
\(514\) −2.71791 + 4.06308i −0.119882 + 0.179215i
\(515\) 1.19495 + 2.83713i 0.0526559 + 0.125019i
\(516\) −16.5724 10.1792i −0.729561 0.448116i
\(517\) 0.894269 + 5.64620i 0.0393299 + 0.248319i
\(518\) 12.1586 + 1.44545i 0.534218 + 0.0635094i
\(519\) 0.739015 + 0.536926i 0.0324392 + 0.0235684i
\(520\) 36.6159 1.59934i 1.60571 0.0701356i
\(521\) 33.3910 24.2600i 1.46289 1.06285i 0.480286 0.877112i \(-0.340533\pi\)
0.982600 0.185737i \(-0.0594672\pi\)
\(522\) −6.62309 + 3.70460i −0.289885 + 0.162146i
\(523\) −13.4688 + 26.4340i −0.588950 + 1.15588i 0.383668 + 0.923471i \(0.374661\pi\)
−0.972618 + 0.232409i \(0.925339\pi\)
\(524\) −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
\(528\) −2.92140 + 4.00349i −0.127137 + 0.174230i
\(529\) 13.5103 + 18.5954i 0.587406 + 0.808495i
\(530\) −0.0367866 0.0544146i −0.00159791 0.00236362i
\(531\) 5.40894 7.44477i 0.234728 0.323075i
\(532\) −15.3814 + 9.40384i −0.666869 + 0.407708i
\(533\) −35.0028 + 5.54389i −1.51614 + 0.240133i
\(534\) −4.70943 12.7859i −0.203797 0.553299i
\(535\) 15.3399 + 3.58663i 0.663201 + 0.155064i
\(536\) −13.6830 14.8484i −0.591014 0.641352i
\(537\) −4.97625 + 2.53553i −0.214741 + 0.109416i
\(538\) −19.5683 9.03342i −0.843651 0.389458i
\(539\) 1.18459 + 3.64581i 0.0510241 + 0.157036i
\(540\) −2.04980 3.97471i −0.0882095 0.171044i
\(541\) −1.34195 + 4.13009i −0.0576948 + 0.177566i −0.975751 0.218884i \(-0.929758\pi\)
0.918056 + 0.396451i \(0.129758\pi\)
\(542\) −29.8944 + 32.3060i −1.28407 + 1.38766i
\(543\) 3.60771 + 3.60771i 0.154822 + 0.154822i
\(544\) 13.9547 30.0651i 0.598303 1.28903i
\(545\) −9.90513 40.2052i −0.424289 1.72220i
\(546\) 4.40463 15.5867i 0.188501 0.667050i
\(547\) 2.17145 13.7100i 0.0928447 0.586198i −0.896775 0.442487i \(-0.854096\pi\)
0.989620 0.143711i \(-0.0459037\pi\)
\(548\) −11.2127 + 13.1009i −0.478983 + 0.559642i
\(549\) 0.702490i 0.0299815i
\(550\) −8.74993 + 0.443315i −0.373098 + 0.0189030i
\(551\) 24.4744i 1.04264i
\(552\) −0.344206 0.0140595i −0.0146504 0.000598414i
\(553\) −3.89191 + 24.5725i −0.165501 + 1.04493i
\(554\) −10.9933 3.10656i −0.467058 0.131985i
\(555\) −7.48625 6.31741i −0.317774 0.268159i
\(556\) 13.3499 + 15.6636i 0.566163 + 0.664283i
\(557\) 16.1147 + 16.1147i 0.682801 + 0.682801i 0.960630 0.277830i \(-0.0896150\pi\)
−0.277830 + 0.960630i \(0.589615\pi\)
\(558\) −11.1345 10.3033i −0.471362 0.436175i
\(559\) −17.4142 + 53.5952i −0.736540 + 2.26684i
\(560\) 15.0365 9.29450i 0.635410 0.392764i
\(561\) 2.24343 + 6.90456i 0.0947176 + 0.291511i
\(562\) 5.53827 11.9971i 0.233618 0.506066i
\(563\) 19.6615 10.0181i 0.828635 0.422211i 0.0123950 0.999923i \(-0.496054\pi\)
0.816240 + 0.577712i \(0.196054\pi\)
\(564\) 0.714462 + 9.19992i 0.0300843 + 0.387386i
\(565\) 9.44166 15.6146i 0.397213 0.656913i
\(566\) −21.6068 + 7.95845i −0.908200 + 0.334519i
\(567\) −1.95204 + 0.309174i −0.0819782 + 0.0129841i
\(568\) −7.75375 + 20.9173i −0.325340 + 0.877672i
\(569\) 1.69582 2.33410i 0.0710926 0.0978505i −0.771990 0.635635i \(-0.780738\pi\)
0.843083 + 0.537784i \(0.180738\pi\)
\(570\) 14.4147 + 0.488168i 0.603766 + 0.0204471i
\(571\) −9.81495 13.5091i −0.410743 0.565339i 0.552657 0.833409i \(-0.313614\pi\)
−0.963399 + 0.268070i \(0.913614\pi\)
\(572\) 13.2614 + 5.50914i 0.554485 + 0.230349i
\(573\) −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 \(0.824365\pi\)
\(578\) −11.9660 21.3928i −0.497720 0.889824i
\(579\) −11.6435 + 8.45950i −0.483888 + 0.351565i
\(580\) 0.117566 + 23.9975i 0.00488165 + 0.996442i
\(581\) 4.65637 + 3.38305i 0.193179 + 0.140353i
\(582\) −1.23174 + 10.3610i −0.0510574 + 0.429476i
\(583\) −0.00402586 0.0254183i −0.000166734 0.00105272i
\(584\) 1.74487 + 14.9412i 0.0722031 + 0.618269i
\(585\) −9.80323 + 8.47388i −0.405314 + 0.350352i
\(586\) −21.2382 14.2068i −0.877343 0.586879i
\(587\) −11.6401 22.8450i −0.480439 0.942915i −0.996275 0.0862280i \(-0.972519\pi\)
0.515836 0.856687i \(-0.327481\pi\)
\(588\) 1.43830 + 6.01839i 0.0593143 + 0.248194i
\(589\) 46.5307 15.1187i 1.91726 0.622956i
\(590\) −12.3260 26.3606i −0.507453 1.08525i
\(591\) −0.0963705 0.0313127i −0.00396415 0.00128803i
\(592\) −5.44938 + 16.6540i −0.223968 + 0.684476i
\(593\) 5.99382 5.99382i 0.246137 0.246137i −0.573246 0.819383i \(-0.694316\pi\)
0.819383 + 0.573246i \(0.194316\pi\)
\(594\) −0.0678855 1.75092i −0.00278537 0.0718409i
\(595\) 1.87842 25.8263i 0.0770078 1.05878i
\(596\) 16.2587 + 39.3674i 0.665984 + 1.61255i
\(597\) 12.9020 + 2.04348i 0.528044 + 0.0836339i
\(598\) 0.194226 + 0.979090i 0.00794249 + 0.0400380i
\(599\) 0.175663 0.00717738 0.00358869 0.999994i \(-0.498858\pi\)
0.00358869 + 0.999994i \(0.498858\pi\)
\(600\) −14.1362 0.409413i −0.577108 0.0167142i
\(601\) 11.4170 0.465710 0.232855 0.972511i \(-0.425193\pi\)
0.232855 + 0.972511i \(0.425193\pi\)
\(602\) 5.28878 + 26.6606i 0.215554 + 1.08661i
\(603\) 7.05089 + 1.11675i 0.287134 + 0.0454776i
\(604\) −2.84436 6.88707i −0.115735 0.280231i
\(605\) 19.6007 + 7.98294i 0.796883 + 0.324553i
\(606\) 0.292988 + 7.55680i 0.0119018 + 0.306974i
\(607\) 10.6407 10.6407i 0.431893 0.431893i −0.457379 0.889272i \(-0.651212\pi\)
0.889272 + 0.457379i \(0.151212\pi\)
\(608\) −8.86732 24.2290i −0.359617 0.982614i
\(609\) 10.0863 + 3.27724i 0.408718 + 0.132800i
\(610\) 1.94407 + 1.07494i 0.0787133 + 0.0435231i
\(611\) 25.4284 8.26219i 1.02872 0.334252i
\(612\) 2.72390 + 11.3978i 0.110107 + 0.460730i
\(613\) 0.467306 + 0.917140i 0.0188743 + 0.0370429i 0.900251 0.435371i \(-0.143383\pi\)
−0.881377 + 0.472414i \(0.843383\pi\)
\(614\) 1.08422 + 0.725263i 0.0437554 + 0.0292692i
\(615\) 13.6258 1.15378i 0.549446 0.0465250i
\(616\) 6.87939 0.803393i 0.277178 0.0323696i
\(617\) 6.87162 + 43.3857i 0.276641 + 1.74664i 0.599665 + 0.800251i \(0.295300\pi\)
−0.323024 + 0.946391i \(0.604700\pi\)
\(618\) −0.229849 + 1.93340i −0.00924588 + 0.0777729i
\(619\) −15.7867 11.4697i −0.634520 0.461006i 0.223443 0.974717i \(-0.428270\pi\)
−0.857963 + 0.513711i \(0.828270\pi\)
\(620\) −45.5514 + 15.0477i −1.82939 + 0.604329i
\(621\) 0.0985357 0.0715904i 0.00395410 0.00287282i
\(622\) 9.32072 + 16.6636i 0.373727 + 0.668149i
\(623\) −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
\(628\) −25.2743 10.4996i −1.00855 0.418980i
\(629\) 15.0875 + 20.7662i 0.601579 + 0.828002i
\(630\) −2.13139 + 5.87519i −0.0849165 + 0.234073i
\(631\) 19.8296 27.2931i 0.789403 1.08652i −0.204779 0.978808i \(-0.565647\pi\)
0.994182 0.107712i \(-0.0343525\pi\)
\(632\) −33.3847 12.3752i −1.32797 0.492259i
\(633\) 27.4400 4.34607i 1.09064 0.172741i
\(634\) 34.5313 12.7190i 1.37141 0.505135i
\(635\) 1.16556 + 13.7650i 0.0462540 + 0.546246i
\(636\) −0.00321640 0.0414166i −0.000127538 0.00164228i
\(637\) 15.9752 8.13975i 0.632958 0.322508i
\(638\) −3.94091 + 8.53686i −0.156022 + 0.337977i
\(639\) −2.43726 7.50111i −0.0964165 0.296739i
\(640\) 8.81094 + 23.7143i 0.348283 + 0.937389i
\(641\) −6.34839 + 19.5383i −0.250746 + 0.771718i 0.743892 + 0.668300i \(0.232978\pi\)
−0.994638 + 0.103418i \(0.967022\pi\)
\(642\) 7.31288 + 6.76699i 0.288617 + 0.267072i
\(643\) −7.64052 7.64052i −0.301313 0.301313i 0.540215 0.841527i \(-0.318343\pi\)
−0.841527 + 0.540215i \(0.818343\pi\)
\(644\) 0.312286 + 0.366408i 0.0123058 + 0.0144385i
\(645\) 8.20193 20.1384i 0.322951 0.792950i
\(646\) −36.3698 10.2777i −1.43095 0.404370i
\(647\) 0.562777 3.55324i 0.0221251 0.139692i −0.974153 0.225889i \(-0.927471\pi\)
0.996278 + 0.0861968i \(0.0274714\pi\)
\(648\) 0.115434 2.82607i 0.00453469 0.111019i
\(649\) 11.4017i 0.447556i
\(650\) 8.44988 + 40.0961i 0.331431 + 1.57270i
\(651\) 21.2006i 0.830916i
\(652\) −30.1926 + 35.2770i −1.18244 + 1.38155i
\(653\) −5.01226 + 31.6462i −0.196145 + 1.23841i 0.671417 + 0.741080i \(0.265686\pi\)
−0.867562 + 0.497330i \(0.834314\pi\)
\(654\) 7.12161 25.2014i 0.278477 0.985451i
\(655\) −6.32143 0.459776i −0.246999 0.0179649i
\(656\) −11.0603 21.8186i −0.431831 0.851874i
\(657\) −3.76067 3.76067i −0.146718 0.146718i
\(658\) 8.75851 9.46506i 0.341442 0.368986i
\(659\) 8.42444 25.9278i 0.328170 1.01000i −0.641820 0.766856i \(-0.721820\pi\)
0.969989 0.243147i \(-0.0781797\pi\)
\(660\) −4.94937 2.49136i −0.192654 0.0969761i
\(661\) 4.18817 + 12.8899i 0.162901 + 0.501358i 0.998875 0.0474105i \(-0.0150969\pi\)
−0.835974 + 0.548768i \(0.815097\pi\)
\(662\) −5.61962 2.59421i −0.218413 0.100827i
\(663\) 30.2543 15.4153i 1.17498 0.598682i
\(664\) −6.05724 + 5.58183i −0.235067 + 0.216617i
\(665\) −13.1812 15.2490i −0.511144 0.591330i
\(666\) −2.14128 5.81347i −0.0829730 0.225267i
\(667\) −0.645523 + 0.102241i −0.0249948 + 0.00395878i
\(668\) 33.8848 20.7164i 1.31104 0.801542i
\(669\) −6.88277 + 9.47333i −0.266103 + 0.366260i
\(670\) 13.8797 17.8038i 0.536219 0.687822i
\(671\) 0.511605 + 0.704165i 0.0197503 + 0.0271840i
\(672\) 11.1726 0.409998i 0.430991 0.0158160i
\(673\) −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 \(0.295532\pi\)
\(678\) 10.0720 5.63375i 0.386814 0.216363i
\(679\) 11.7967 8.57080i 0.452716 0.328917i
\(680\) 35.7105 + 9.90271i 1.36944 + 0.379752i
\(681\) −6.95065 5.04995i −0.266350 0.193514i
\(682\) −18.6647 2.21892i −0.714709 0.0849668i
\(683\) 7.59793 + 47.9715i 0.290727 + 1.83558i 0.510319 + 0.859985i \(0.329527\pi\)
−0.219592 + 0.975592i \(0.570473\pi\)
\(684\) 7.77275 + 4.77423i 0.297199 + 0.182547i
\(685\) −16.4979 9.97575i −0.630353 0.381154i
\(686\) 15.6863 23.4499i 0.598906 0.895322i
\(687\) 3.20305 + 6.28633i 0.122204 + 0.239839i
\(688\) −38.8979 0.0805794i −1.48297 0.00307206i
\(689\) −0.114475 + 0.0371951i −0.00436114 + 0.00141702i
\(690\) −0.0473414 0.382235i −0.00180226 0.0145514i
\(691\) 15.8467 + 5.14891i 0.602838 + 0.195874i 0.594506 0.804091i \(-0.297348\pi\)
0.00833210 + 0.999965i \(0.497348\pi\)
\(692\) 1.82116 + 0.145227i 0.0692303 + 0.00552070i
\(693\) −1.73153 + 1.73153i −0.0657756 + 0.0657756i
\(694\) 48.0824 1.86422i 1.82518 0.0707649i
\(695\) −14.8397 + 17.5853i −0.562902 + 0.667049i
\(696\) −7.43663 + 13.2308i −0.281885 + 0.501512i
\(697\) −35.3918 5.60551i −1.34056 0.212324i
\(698\) 42.1505 8.36157i 1.59542 0.316490i
\(699\) −17.9755 −0.679897
\(700\) 12.9976 + 14.8886i 0.491263 + 0.562734i
\(701\) −11.4107 −0.430977 −0.215488 0.976506i \(-0.569134\pi\)
−0.215488 + 0.976506i \(0.569134\pi\)
\(702\) −8.03872 + 1.59467i −0.303402 + 0.0601870i
\(703\) 19.7343 + 3.12560i 0.744292 + 0.117884i
\(704\) −0.808397 + 9.87909i −0.0304676 + 0.372332i
\(705\) −10.0173 + 2.46790i −0.377272 + 0.0929465i
\(706\) −25.3696 + 0.983614i −0.954796 + 0.0370188i
\(707\) 7.47316 7.47316i 0.281057 0.281057i
\(708\) 1.46300 18.3462i 0.0549830 0.689494i
\(709\) −22.2796 7.23907i −0.836727 0.271869i −0.140851 0.990031i \(-0.544984\pi\)
−0.695876 + 0.718162i \(0.744984\pi\)
\(710\) −24.4881 4.73323i −0.919021 0.177635i
\(711\) 11.9720 3.88994i 0.448985 0.145884i
\(712\) −21.3746 16.9043i −0.801047 0.633515i
\(713\) −0.593144 1.16411i −0.0222134 0.0435963i
\(714\) 9.10571 13.6124i 0.340772 0.509431i
\(715\) −3.65528 + 15.6335i −0.136700 + 0.584660i
\(716\) −5.84615 + 9.51791i −0.218481 + 0.355701i
\(717\) 2.01396 + 12.7156i 0.0752126 + 0.474874i
\(718\) −37.7015 4.48207i −1.40701 0.167269i
\(719\) 37.2385 + 27.0554i 1.38876 + 1.00900i 0.996000 + 0.0893562i \(0.0284809\pi\)
0.392764 + 0.919639i \(0.371519\pi\)
\(720\) −7.64424 4.64387i −0.284884 0.173067i
\(721\) 2.20132 1.59935i 0.0819814 0.0595629i
\(722\) −2.22443 + 1.24423i −0.0827846 + 0.0463053i
\(723\) −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 −0.429916 0.902869i \(-0.641457\pi\)
−0.983135 + 0.182884i \(0.941457\pi\)
\(728\) −8.74466 31.1916i −0.324099 1.15604i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) −16.1618 + 4.65277i −0.598177 + 0.172207i
\(731\) −33.4918 + 46.0975i −1.23874 + 1.70498i
\(732\) 0.732859 + 1.19870i 0.0270872 + 0.0443053i
\(733\) −18.1115 + 2.86857i −0.668962 + 0.105953i −0.481672 0.876352i \(-0.659970\pi\)
−0.187290 + 0.982305i \(0.559970\pi\)
\(734\) 6.82965 + 18.5421i 0.252087 + 0.684403i
\(735\) −6.37580 + 2.68538i −0.235175 + 0.0990519i
\(736\) −0.602008 + 0.335096i −0.0221903 + 0.0123518i
\(737\) 7.88100 4.01557i 0.290300 0.147915i
\(738\) 7.85226 + 3.62487i 0.289046 + 0.133433i
\(739\) −1.37964 4.24609i −0.0507508 0.156195i 0.922469 0.386071i \(-0.126168\pi\)
−0.973220 + 0.229876i \(0.926168\pi\)
\(740\) −19.3648 2.96990i −0.711863 0.109176i
\(741\) 8.16753 25.1371i 0.300042 0.923433i
\(742\) −0.0394294 + 0.0426102i −0.00144750 + 0.00156427i
\(743\) −9.34530 9.34530i −0.342846 0.342846i 0.514590 0.857436i \(-0.327944\pi\)
−0.857436 + 0.514590i \(0.827944\pi\)
\(744\) −29.7483 5.96536i −1.09063 0.218701i
\(745\) −40.4544 + 25.1219i −1.48213 + 0.920397i
\(746\) 6.51711 23.0622i 0.238608 0.844367i
\(747\) 0.455567 2.87634i 0.0166683 0.105240i
\(748\) 11.0311 + 9.44126i 0.403339 + 0.345207i
\(749\) 13.9240i 0.508773i
\(750\) −2.12957 15.6673i −0.0777608 0.572090i
\(751\) 34.9526i 1.27544i −0.770269 0.637719i \(-0.779878\pi\)
0.770269 0.637719i \(-0.220122\pi\)
\(752\) 10.8168 + 14.9530i 0.394447 + 0.545281i
\(753\) −1.19117 + 7.52072i −0.0434085 + 0.274070i
\(754\) 42.3196 + 11.9590i 1.54119 + 0.435522i
\(755\) 7.07724 4.39492i 0.257567 0.159948i
\(756\) −3.00836 + 2.56399i −0.109413 + 0.0932516i
\(757\) 21.7005 + 21.7005i 0.788717 + 0.788717i 0.981284 0.192567i \(-0.0616812\pi\)
−0.192567 + 0.981284i \(0.561681\pi\)
\(758\) −2.29959 2.12793i −0.0835249 0.0772899i
\(759\) 0.0466331 0.143522i 0.00169268 0.00520952i
\(760\) 25.1060 14.2049i 0.910690 0.515265i
\(761\) 0.680896 + 2.09558i 0.0246825 + 0.0759648i 0.962639 0.270788i \(-0.0872843\pi\)
−0.937957 + 0.346753i \(0.887284\pi\)
\(762\) −3.66189 + 7.93244i −0.132656 + 0.287362i
\(763\) −32.6094 + 16.6153i −1.18054 + 0.601515i
\(764\) −6.01666 + 0.467251i −0.217675 + 0.0169045i
\(765\) −12.0747 + 5.08568i −0.436562 + 0.183873i
\(766\) 32.2858 11.8919i 1.16653 0.429671i
\(767\) −52.6704 + 8.34217i −1.90182 + 0.301218i
\(768\) −2.56840 + 15.7925i −0.0926793 + 0.569863i
\(769\) −14.1415 + 19.4641i −0.509955 + 0.701893i −0.983912 0.178655i \(-0.942825\pi\)
0.473956 + 0.880548i \(0.342825\pi\)
\(770\) 2.14228 + 7.44143i 0.0772025 + 0.268170i
\(771\) −2.03171 2.79641i −0.0731704 0.100710i
\(772\) −11.0428 + 26.5818i −0.397440 + 0.956701i
\(773\) −16.2534 8.28151i −0.584594 0.297865i 0.136570