Properties

Label 29.3.f.a.19.4
Level $29$
Weight $3$
Character 29.19
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 19.4
Character \(\chi\) \(=\) 29.19
Dual form 29.3.f.a.26.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.42815 + 2.27289i) q^{2} +(0.724599 - 2.07079i) q^{3} +(-1.39088 + 2.88819i) q^{4} +(-6.69994 - 1.52922i) q^{5} +(5.74151 - 1.31046i) q^{6} +(-4.78081 + 2.30231i) q^{7} +(2.11889 - 0.238741i) q^{8} +(3.27337 + 2.61043i) q^{9} +O(q^{10})\) \(q+(1.42815 + 2.27289i) q^{2} +(0.724599 - 2.07079i) q^{3} +(-1.39088 + 2.88819i) q^{4} +(-6.69994 - 1.52922i) q^{5} +(5.74151 - 1.31046i) q^{6} +(-4.78081 + 2.30231i) q^{7} +(2.11889 - 0.238741i) q^{8} +(3.27337 + 2.61043i) q^{9} +(-6.09279 - 17.4122i) q^{10} +(-3.10194 - 0.349505i) q^{11} +(4.97300 + 4.97300i) q^{12} +(14.9316 - 11.9076i) q^{13} +(-12.0606 - 7.57819i) q^{14} +(-8.02145 + 12.7661i) q^{15} +(11.5635 + 14.5002i) q^{16} +(-19.1156 + 19.1156i) q^{17} +(-1.25834 + 11.1681i) q^{18} +(3.26204 - 1.14144i) q^{19} +(13.7355 - 17.2238i) q^{20} +(1.30343 + 11.5683i) q^{21} +(-3.63566 - 7.54952i) q^{22} +(-3.11691 - 13.6561i) q^{23} +(1.04096 - 4.56075i) q^{24} +(20.0264 + 9.64422i) q^{25} +(48.3892 + 16.9321i) q^{26} +(24.4962 - 15.3920i) q^{27} -17.0101i q^{28} +(-22.5579 + 18.2247i) q^{29} -40.4717 q^{30} +(-30.9563 - 49.2666i) q^{31} +(-13.6259 + 38.9405i) q^{32} +(-2.97141 + 6.17021i) q^{33} +(-70.7477 - 16.1477i) q^{34} +(35.5518 - 8.11447i) q^{35} +(-12.0923 + 5.82334i) q^{36} +(23.4414 - 2.64121i) q^{37} +(7.25305 + 5.78412i) q^{38} +(-13.8386 - 39.5484i) q^{39} +(-14.5615 - 1.64069i) q^{40} +(29.0869 + 29.0869i) q^{41} +(-24.4319 + 19.4838i) q^{42} +(28.3964 + 17.8426i) q^{43} +(5.32387 - 8.47289i) q^{44} +(-17.9395 - 22.4954i) q^{45} +(26.5873 - 26.5873i) q^{46} +(5.42166 - 48.1186i) q^{47} +(38.4056 - 13.4387i) q^{48} +(-12.9956 + 16.2959i) q^{49} +(6.68052 + 59.2913i) q^{50} +(25.7332 + 53.4355i) q^{51} +(13.6233 + 59.6874i) q^{52} +(2.93760 - 12.8705i) q^{53} +(69.9685 + 33.6951i) q^{54} +(20.2483 + 7.08520i) q^{55} +(-9.58032 + 6.01972i) q^{56} -7.58207i q^{57} +(-73.6390 - 25.2439i) q^{58} +11.7545 q^{59} +(-25.7140 - 40.9236i) q^{60} +(-18.2928 + 52.2779i) q^{61} +(67.7674 - 140.721i) q^{62} +(-21.6594 - 4.94361i) q^{63} +(-35.6416 + 8.13496i) q^{64} +(-118.250 + 56.9463i) q^{65} +(-18.2678 + 2.05829i) q^{66} +(-6.83210 - 5.44842i) q^{67} +(-28.6221 - 81.7971i) q^{68} +(-30.5373 - 3.44073i) q^{69} +(69.2167 + 69.2167i) q^{70} +(-49.1193 + 39.1713i) q^{71} +(7.55912 + 4.74971i) q^{72} +(33.0911 - 52.6641i) q^{73} +(39.4811 + 49.5078i) q^{74} +(34.4822 - 34.4822i) q^{75} +(-1.24042 + 11.0090i) q^{76} +(15.6344 - 5.47073i) q^{77} +(70.1256 - 87.9347i) q^{78} +(5.05536 + 44.8675i) q^{79} +(-55.3008 - 114.833i) q^{80} +(-5.73871 - 25.1429i) q^{81} +(-24.5708 + 107.652i) q^{82} +(-123.603 - 59.5242i) q^{83} +(-35.2244 - 12.3255i) q^{84} +(157.305 - 98.8415i) q^{85} +90.0238i q^{86} +(21.3941 + 59.9182i) q^{87} -6.65610 q^{88} +(38.7651 + 61.6944i) q^{89} +(25.5093 - 72.9013i) q^{90} +(-43.9702 + 91.3050i) q^{91} +(43.7766 + 9.99172i) q^{92} +(-124.452 + 28.4053i) q^{93} +(117.111 - 56.3978i) q^{94} +(-23.6010 + 2.65919i) q^{95} +(70.7641 + 56.4325i) q^{96} +(16.9565 + 48.4590i) q^{97} +(-55.5985 - 6.26444i) q^{98} +(-9.24145 - 9.24145i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{9}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.42815 + 2.27289i 0.714076 + 1.13645i 0.984784 + 0.173784i \(0.0555995\pi\)
−0.270708 + 0.962662i \(0.587258\pi\)
\(3\) 0.724599 2.07079i 0.241533 0.690262i −0.757755 0.652539i \(-0.773704\pi\)
0.999288 0.0377230i \(-0.0120105\pi\)
\(4\) −1.39088 + 2.88819i −0.347720 + 0.722048i
\(5\) −6.69994 1.52922i −1.33999 0.305843i −0.508344 0.861154i \(-0.669742\pi\)
−0.831643 + 0.555311i \(0.812599\pi\)
\(6\) 5.74151 1.31046i 0.956918 0.218410i
\(7\) −4.78081 + 2.30231i −0.682972 + 0.328902i −0.742997 0.669295i \(-0.766596\pi\)
0.0600247 + 0.998197i \(0.480882\pi\)
\(8\) 2.11889 0.238741i 0.264861 0.0298426i
\(9\) 3.27337 + 2.61043i 0.363708 + 0.290047i
\(10\) −6.09279 17.4122i −0.609279 1.74122i
\(11\) −3.10194 0.349505i −0.281995 0.0317732i −0.0301656 0.999545i \(-0.509603\pi\)
−0.251829 + 0.967772i \(0.581032\pi\)
\(12\) 4.97300 + 4.97300i 0.414417 + 0.414417i
\(13\) 14.9316 11.9076i 1.14859 0.915967i 0.151220 0.988500i \(-0.451680\pi\)
0.997366 + 0.0725336i \(0.0231085\pi\)
\(14\) −12.0606 7.57819i −0.861473 0.541300i
\(15\) −8.02145 + 12.7661i −0.534763 + 0.851071i
\(16\) 11.5635 + 14.5002i 0.722718 + 0.906260i
\(17\) −19.1156 + 19.1156i −1.12445 + 1.12445i −0.133383 + 0.991065i \(0.542584\pi\)
−0.991065 + 0.133383i \(0.957416\pi\)
\(18\) −1.25834 + 11.1681i −0.0699080 + 0.620450i
\(19\) 3.26204 1.14144i 0.171686 0.0600756i −0.243067 0.970009i \(-0.578154\pi\)
0.414753 + 0.909934i \(0.363868\pi\)
\(20\) 13.7355 17.2238i 0.686774 0.861188i
\(21\) 1.30343 + 11.5683i 0.0620682 + 0.550871i
\(22\) −3.63566 7.54952i −0.165257 0.343160i
\(23\) −3.11691 13.6561i −0.135518 0.593742i −0.996388 0.0849173i \(-0.972937\pi\)
0.860870 0.508824i \(-0.169920\pi\)
\(24\) 1.04096 4.56075i 0.0433734 0.190031i
\(25\) 20.0264 + 9.64422i 0.801057 + 0.385769i
\(26\) 48.3892 + 16.9321i 1.86112 + 0.651235i
\(27\) 24.4962 15.3920i 0.907266 0.570073i
\(28\) 17.0101i 0.607505i
\(29\) −22.5579 + 18.2247i −0.777858 + 0.628440i
\(30\) −40.4717 −1.34906
\(31\) −30.9563 49.2666i −0.998590 1.58925i −0.791726 0.610877i \(-0.790817\pi\)
−0.206864 0.978370i \(-0.566326\pi\)
\(32\) −13.6259 + 38.9405i −0.425808 + 1.21689i
\(33\) −2.97141 + 6.17021i −0.0900429 + 0.186976i
\(34\) −70.7477 16.1477i −2.08082 0.474932i
\(35\) 35.5518 8.11447i 1.01577 0.231842i
\(36\) −12.0923 + 5.82334i −0.335897 + 0.161759i
\(37\) 23.4414 2.64121i 0.633552 0.0713842i 0.210653 0.977561i \(-0.432441\pi\)
0.422899 + 0.906177i \(0.361012\pi\)
\(38\) 7.25305 + 5.78412i 0.190870 + 0.152214i
\(39\) −13.8386 39.5484i −0.354835 1.01406i
\(40\) −14.5615 1.64069i −0.364037 0.0410171i
\(41\) 29.0869 + 29.0869i 0.709436 + 0.709436i 0.966417 0.256981i \(-0.0827277\pi\)
−0.256981 + 0.966417i \(0.582728\pi\)
\(42\) −24.4319 + 19.4838i −0.581713 + 0.463901i
\(43\) 28.3964 + 17.8426i 0.660380 + 0.414945i 0.820102 0.572218i \(-0.193917\pi\)
−0.159721 + 0.987162i \(0.551060\pi\)
\(44\) 5.32387 8.47289i 0.120997 0.192566i
\(45\) −17.9395 22.4954i −0.398655 0.499897i
\(46\) 26.5873 26.5873i 0.577985 0.577985i
\(47\) 5.42166 48.1186i 0.115355 1.02380i −0.794040 0.607865i \(-0.792026\pi\)
0.909395 0.415934i \(-0.136545\pi\)
\(48\) 38.4056 13.4387i 0.800117 0.279973i
\(49\) −12.9956 + 16.2959i −0.265215 + 0.332570i
\(50\) 6.68052 + 59.2913i 0.133610 + 1.18583i
\(51\) 25.7332 + 53.4355i 0.504572 + 1.04776i
\(52\) 13.6233 + 59.6874i 0.261986 + 1.14783i
\(53\) 2.93760 12.8705i 0.0554265 0.242839i −0.939624 0.342208i \(-0.888825\pi\)
0.995051 + 0.0993688i \(0.0316824\pi\)
\(54\) 69.9685 + 33.6951i 1.29571 + 0.623983i
\(55\) 20.2483 + 7.08520i 0.368152 + 0.128822i
\(56\) −9.58032 + 6.01972i −0.171077 + 0.107495i
\(57\) 7.58207i 0.133019i
\(58\) −73.6390 25.2439i −1.26964 0.435240i
\(59\) 11.7545 0.199228 0.0996140 0.995026i \(-0.468239\pi\)
0.0996140 + 0.995026i \(0.468239\pi\)
\(60\) −25.7140 40.9236i −0.428567 0.682060i
\(61\) −18.2928 + 52.2779i −0.299882 + 0.857014i 0.691069 + 0.722789i \(0.257140\pi\)
−0.990951 + 0.134225i \(0.957145\pi\)
\(62\) 67.7674 140.721i 1.09302 2.26969i
\(63\) −21.6594 4.94361i −0.343800 0.0784700i
\(64\) −35.6416 + 8.13496i −0.556900 + 0.127109i
\(65\) −118.250 + 56.9463i −1.81923 + 0.876096i
\(66\) −18.2678 + 2.05829i −0.276785 + 0.0311862i
\(67\) −6.83210 5.44842i −0.101972 0.0813196i 0.571177 0.820827i \(-0.306487\pi\)
−0.673148 + 0.739507i \(0.735058\pi\)
\(68\) −28.6221 81.7971i −0.420913 1.20290i
\(69\) −30.5373 3.44073i −0.442569 0.0498656i
\(70\) 69.2167 + 69.2167i 0.988811 + 0.988811i
\(71\) −49.1193 + 39.1713i −0.691821 + 0.551709i −0.905056 0.425292i \(-0.860171\pi\)
0.213235 + 0.977001i \(0.431600\pi\)
\(72\) 7.55912 + 4.74971i 0.104988 + 0.0659682i
\(73\) 33.0911 52.6641i 0.453302 0.721426i −0.539396 0.842052i \(-0.681347\pi\)
0.992698 + 0.120626i \(0.0384902\pi\)
\(74\) 39.4811 + 49.5078i 0.533529 + 0.669024i
\(75\) 34.4822 34.4822i 0.459763 0.459763i
\(76\) −1.24042 + 11.0090i −0.0163213 + 0.144855i
\(77\) 15.6344 5.47073i 0.203045 0.0710484i
\(78\) 70.1256 87.9347i 0.899046 1.12737i
\(79\) 5.05536 + 44.8675i 0.0639919 + 0.567943i 0.984269 + 0.176676i \(0.0565346\pi\)
−0.920277 + 0.391267i \(0.872037\pi\)
\(80\) −55.3008 114.833i −0.691260 1.43542i
\(81\) −5.73871 25.1429i −0.0708482 0.310406i
\(82\) −24.5708 + 107.652i −0.299644 + 1.31283i
\(83\) −123.603 59.5242i −1.48920 0.717159i −0.500312 0.865845i \(-0.666782\pi\)
−0.988885 + 0.148686i \(0.952496\pi\)
\(84\) −35.2244 12.3255i −0.419338 0.146733i
\(85\) 157.305 98.8415i 1.85065 1.16284i
\(86\) 90.0238i 1.04679i
\(87\) 21.3941 + 59.9182i 0.245909 + 0.688715i
\(88\) −6.65610 −0.0756375
\(89\) 38.7651 + 61.6944i 0.435563 + 0.693195i 0.990318 0.138819i \(-0.0443306\pi\)
−0.554754 + 0.832014i \(0.687188\pi\)
\(90\) 25.5093 72.9013i 0.283436 0.810015i
\(91\) −43.9702 + 91.3050i −0.483189 + 1.00335i
\(92\) 43.7766 + 9.99172i 0.475833 + 0.108606i
\(93\) −124.452 + 28.4053i −1.33819 + 0.305433i
\(94\) 117.111 56.3978i 1.24586 0.599977i
\(95\) −23.6010 + 2.65919i −0.248431 + 0.0279915i
\(96\) 70.7641 + 56.4325i 0.737126 + 0.587838i
\(97\) 16.9565 + 48.4590i 0.174810 + 0.499577i 0.997636 0.0687153i \(-0.0218900\pi\)
−0.822827 + 0.568292i \(0.807604\pi\)
\(98\) −55.5985 6.26444i −0.567331 0.0639229i
\(99\) −9.24145 9.24145i −0.0933480 0.0933480i
\(100\) −55.7087 + 44.4262i −0.557087 + 0.444262i
\(101\) 10.9319 + 6.86898i 0.108237 + 0.0680097i 0.585063 0.810988i \(-0.301070\pi\)
−0.476826 + 0.878998i \(0.658213\pi\)
\(102\) −84.7022 + 134.803i −0.830414 + 1.32160i
\(103\) −21.5998 27.0853i −0.209706 0.262964i 0.665843 0.746092i \(-0.268072\pi\)
−0.875550 + 0.483128i \(0.839501\pi\)
\(104\) 28.7956 28.7956i 0.276880 0.276880i
\(105\) 8.95750 79.5000i 0.0853095 0.757143i
\(106\) 33.4486 11.7042i 0.315552 0.110417i
\(107\) 87.5840 109.827i 0.818542 1.02642i −0.180539 0.983568i \(-0.557784\pi\)
0.999081 0.0428518i \(-0.0136443\pi\)
\(108\) 10.3837 + 92.1581i 0.0961456 + 0.853316i
\(109\) 13.2898 + 27.5965i 0.121925 + 0.253179i 0.952994 0.302990i \(-0.0979849\pi\)
−0.831069 + 0.556169i \(0.812271\pi\)
\(110\) 12.8138 + 56.1410i 0.116489 + 0.510373i
\(111\) 11.5163 50.4560i 0.103750 0.454559i
\(112\) −88.6667 42.6996i −0.791667 0.381247i
\(113\) 28.9202 + 10.1196i 0.255931 + 0.0895541i 0.455195 0.890392i \(-0.349570\pi\)
−0.199264 + 0.979946i \(0.563855\pi\)
\(114\) 17.2332 10.8284i 0.151169 0.0949855i
\(115\) 96.2612i 0.837054i
\(116\) −21.2613 90.5000i −0.183287 0.780173i
\(117\) 79.9605 0.683423
\(118\) 16.7872 + 26.7166i 0.142264 + 0.226412i
\(119\) 47.3779 135.398i 0.398133 1.13780i
\(120\) −13.9488 + 28.9649i −0.116240 + 0.241374i
\(121\) −108.466 24.7567i −0.896416 0.204601i
\(122\) −144.947 + 33.0832i −1.18809 + 0.271174i
\(123\) 81.3090 39.1564i 0.661049 0.318344i
\(124\) 185.348 20.8837i 1.49474 0.168417i
\(125\) 14.8956 + 11.8789i 0.119165 + 0.0950311i
\(126\) −19.6966 56.2896i −0.156322 0.446743i
\(127\) 4.07151 + 0.458749i 0.0320591 + 0.00361220i 0.127979 0.991777i \(-0.459151\pi\)
−0.0959203 + 0.995389i \(0.530579\pi\)
\(128\) 47.2969 + 47.2969i 0.369507 + 0.369507i
\(129\) 57.5242 45.8740i 0.445924 0.355613i
\(130\) −298.312 187.442i −2.29471 1.44186i
\(131\) −15.8863 + 25.2830i −0.121270 + 0.193000i −0.901842 0.432066i \(-0.857785\pi\)
0.780572 + 0.625065i \(0.214928\pi\)
\(132\) −13.6879 17.1640i −0.103696 0.130031i
\(133\) −12.9672 + 12.9672i −0.0974980 + 0.0974980i
\(134\) 2.62638 23.3098i 0.0195999 0.173954i
\(135\) −187.660 + 65.6652i −1.39008 + 0.486409i
\(136\) −35.9401 + 45.0675i −0.264266 + 0.331379i
\(137\) −13.7929 122.415i −0.100678 0.893542i −0.937954 0.346761i \(-0.887282\pi\)
0.837276 0.546781i \(-0.184147\pi\)
\(138\) −35.7915 74.3218i −0.259359 0.538564i
\(139\) 52.0026 + 227.838i 0.374119 + 1.63912i 0.715077 + 0.699045i \(0.246392\pi\)
−0.340958 + 0.940079i \(0.610751\pi\)
\(140\) −26.0122 + 113.967i −0.185801 + 0.814049i
\(141\) −95.7148 46.0938i −0.678828 0.326907i
\(142\) −159.182 55.7002i −1.12100 0.392255i
\(143\) −50.4787 + 31.7179i −0.352998 + 0.221803i
\(144\) 77.6501i 0.539237i
\(145\) 179.006 87.6087i 1.23452 0.604198i
\(146\) 166.959 1.14355
\(147\) 24.3288 + 38.7190i 0.165502 + 0.263395i
\(148\) −24.9759 + 71.3770i −0.168756 + 0.482277i
\(149\) 44.8786 93.1914i 0.301199 0.625446i −0.694356 0.719632i \(-0.744311\pi\)
0.995555 + 0.0941861i \(0.0300249\pi\)
\(150\) 127.620 + 29.1285i 0.850802 + 0.194190i
\(151\) 17.1757 3.92024i 0.113746 0.0259618i −0.165269 0.986249i \(-0.552849\pi\)
0.279015 + 0.960287i \(0.409992\pi\)
\(152\) 6.63938 3.19736i 0.0436801 0.0210352i
\(153\) −112.472 + 12.6726i −0.735114 + 0.0828274i
\(154\) 34.7627 + 27.7224i 0.225732 + 0.180015i
\(155\) 132.066 + 377.422i 0.852037 + 2.43498i
\(156\) 133.471 + 15.0386i 0.855585 + 0.0964013i
\(157\) 55.4971 + 55.4971i 0.353485 + 0.353485i 0.861404 0.507920i \(-0.169585\pi\)
−0.507920 + 0.861404i \(0.669585\pi\)
\(158\) −94.7592 + 75.5679i −0.599742 + 0.478278i
\(159\) −24.5234 15.4091i −0.154235 0.0969126i
\(160\) 150.841 240.062i 0.942755 1.50039i
\(161\) 46.3419 + 58.1109i 0.287838 + 0.360937i
\(162\) 48.9514 48.9514i 0.302169 0.302169i
\(163\) 18.1802 161.354i 0.111535 0.989899i −0.805910 0.592037i \(-0.798324\pi\)
0.917445 0.397862i \(-0.130248\pi\)
\(164\) −124.465 + 43.5521i −0.758932 + 0.265562i
\(165\) 29.3439 36.7960i 0.177842 0.223006i
\(166\) −41.2323 365.947i −0.248387 2.20450i
\(167\) 71.6533 + 148.790i 0.429061 + 0.890955i 0.997662 + 0.0683416i \(0.0217708\pi\)
−0.568600 + 0.822614i \(0.692515\pi\)
\(168\) 5.52365 + 24.2007i 0.0328789 + 0.144052i
\(169\) 43.5570 190.836i 0.257734 1.12920i
\(170\) 449.312 + 216.377i 2.64301 + 1.27281i
\(171\) 13.6575 + 4.77897i 0.0798685 + 0.0279472i
\(172\) −91.0289 + 57.1972i −0.529238 + 0.332542i
\(173\) 41.6753i 0.240898i −0.992720 0.120449i \(-0.961567\pi\)
0.992720 0.120449i \(-0.0384334\pi\)
\(174\) −105.634 + 134.199i −0.607089 + 0.771258i
\(175\) −117.946 −0.673980
\(176\) −30.8014 49.0201i −0.175008 0.278523i
\(177\) 8.51727 24.3410i 0.0481202 0.137520i
\(178\) −84.8621 + 176.218i −0.476753 + 0.989988i
\(179\) −93.6851 21.3830i −0.523380 0.119458i −0.0473352 0.998879i \(-0.515073\pi\)
−0.476045 + 0.879421i \(0.657930\pi\)
\(180\) 89.9227 20.5243i 0.499571 0.114024i
\(181\) −141.858 + 68.3150i −0.783744 + 0.377431i −0.782566 0.622568i \(-0.786089\pi\)
−0.00117831 + 0.999999i \(0.500375\pi\)
\(182\) −270.323 + 30.4580i −1.48529 + 0.167352i
\(183\) 95.0014 + 75.7611i 0.519133 + 0.413995i
\(184\) −9.86463 28.1915i −0.0536121 0.153215i
\(185\) −161.095 18.1511i −0.870784 0.0981138i
\(186\) −242.298 242.298i −1.30268 1.30268i
\(187\) 65.9765 52.6145i 0.352815 0.281361i
\(188\) 131.435 + 82.5860i 0.699122 + 0.439287i
\(189\) −81.6743 + 129.984i −0.432139 + 0.687746i
\(190\) −39.7498 49.8447i −0.209210 0.262340i
\(191\) 149.268 149.268i 0.781507 0.781507i −0.198578 0.980085i \(-0.563632\pi\)
0.980085 + 0.198578i \(0.0636325\pi\)
\(192\) −8.98011 + 79.7007i −0.0467714 + 0.415108i
\(193\) −7.47034 + 2.61398i −0.0387064 + 0.0135440i −0.349563 0.936913i \(-0.613670\pi\)
0.310856 + 0.950457i \(0.399384\pi\)
\(194\) −85.9255 + 107.747i −0.442915 + 0.555398i
\(195\) 32.2396 + 286.134i 0.165331 + 1.46735i
\(196\) −28.9905 60.1993i −0.147911 0.307139i
\(197\) −83.3370 365.123i −0.423030 1.85342i −0.514328 0.857594i \(-0.671958\pi\)
0.0912973 0.995824i \(-0.470899\pi\)
\(198\) 7.80661 34.2030i 0.0394273 0.172742i
\(199\) −320.598 154.392i −1.61105 0.775840i −0.611170 0.791499i \(-0.709301\pi\)
−0.999877 + 0.0156595i \(0.995015\pi\)
\(200\) 44.7362 + 15.6539i 0.223681 + 0.0782693i
\(201\) −16.2330 + 10.1999i −0.0807614 + 0.0507457i
\(202\) 34.6570i 0.171569i
\(203\) 65.8858 139.064i 0.324561 0.685046i
\(204\) −190.124 −0.931980
\(205\) −150.400 239.360i −0.733659 1.16761i
\(206\) 30.7141 87.7758i 0.149097 0.426096i
\(207\) 25.4454 52.8378i 0.122924 0.255255i
\(208\) 345.323 + 78.8178i 1.66021 + 0.378932i
\(209\) −10.5176 + 2.40057i −0.0503234 + 0.0114860i
\(210\) 193.487 93.1787i 0.921369 0.443708i
\(211\) 231.167 26.0462i 1.09558 0.123442i 0.454372 0.890812i \(-0.349864\pi\)
0.641205 + 0.767370i \(0.278435\pi\)
\(212\) 33.0866 + 26.3857i 0.156069 + 0.124461i
\(213\) 45.5236 + 130.099i 0.213726 + 0.610794i
\(214\) 374.708 + 42.2194i 1.75097 + 0.197287i
\(215\) −162.969 162.969i −0.757993 0.757993i
\(216\) 48.2299 38.4621i 0.223287 0.178065i
\(217\) 261.423 + 164.263i 1.20472 + 0.756973i
\(218\) −43.7441 + 69.6183i −0.200661 + 0.319350i
\(219\) −85.0784 106.685i −0.388486 0.487146i
\(220\) −48.6264 + 48.6264i −0.221029 + 0.221029i
\(221\) −57.8066 + 513.047i −0.261568 + 2.32148i
\(222\) 131.128 45.8837i 0.590667 0.206683i
\(223\) −193.421 + 242.542i −0.867359 + 1.08763i 0.128036 + 0.991770i \(0.459133\pi\)
−0.995394 + 0.0958637i \(0.969439\pi\)
\(224\) −24.5106 217.538i −0.109422 0.971151i
\(225\) 40.3784 + 83.8466i 0.179460 + 0.372652i
\(226\) 18.3016 + 80.1848i 0.0809807 + 0.354800i
\(227\) 50.9304 223.141i 0.224363 0.982999i −0.729788 0.683674i \(-0.760381\pi\)
0.954151 0.299326i \(-0.0967617\pi\)
\(228\) 21.8985 + 10.5458i 0.0960460 + 0.0462533i
\(229\) 17.7179 + 6.19978i 0.0773709 + 0.0270733i 0.368687 0.929554i \(-0.379807\pi\)
−0.291316 + 0.956627i \(0.594093\pi\)
\(230\) −218.791 + 137.476i −0.951266 + 0.597720i
\(231\) 36.3397i 0.157315i
\(232\) −43.4466 + 44.0017i −0.187270 + 0.189662i
\(233\) 24.0314 0.103139 0.0515695 0.998669i \(-0.483578\pi\)
0.0515695 + 0.998669i \(0.483578\pi\)
\(234\) 114.196 + 181.742i 0.488016 + 0.776674i
\(235\) −109.909 + 314.101i −0.467696 + 1.33660i
\(236\) −16.3490 + 33.9491i −0.0692756 + 0.143852i
\(237\) 96.5742 + 22.0424i 0.407486 + 0.0930060i
\(238\) 375.408 85.6845i 1.57735 0.360019i
\(239\) −247.377 + 119.131i −1.03505 + 0.498454i −0.872689 0.488277i \(-0.837626\pi\)
−0.162362 + 0.986731i \(0.551911\pi\)
\(240\) −277.866 + 31.3080i −1.15777 + 0.130450i
\(241\) −230.544 183.853i −0.956615 0.762875i 0.0148913 0.999889i \(-0.495260\pi\)
−0.971506 + 0.237014i \(0.923831\pi\)
\(242\) −98.6371 281.889i −0.407591 1.16483i
\(243\) 202.514 + 22.8178i 0.833390 + 0.0939005i
\(244\) −125.546 125.546i −0.514531 0.514531i
\(245\) 111.989 89.3085i 0.457099 0.364525i
\(246\) 205.120 + 128.885i 0.833820 + 0.523924i
\(247\) 35.1158 55.8864i 0.142169 0.226261i
\(248\) −77.3548 96.9998i −0.311914 0.391128i
\(249\) −212.825 + 212.825i −0.854718 + 0.854718i
\(250\) −5.72616 + 50.8210i −0.0229046 + 0.203284i
\(251\) 238.983 83.6236i 0.952122 0.333162i 0.190868 0.981616i \(-0.438870\pi\)
0.761254 + 0.648454i \(0.224584\pi\)
\(252\) 44.4037 55.6805i 0.176205 0.220954i
\(253\) 4.89560 + 43.4497i 0.0193502 + 0.171738i
\(254\) 4.77205 + 9.90926i 0.0187876 + 0.0390128i
\(255\) −90.6962 397.366i −0.355672 1.55830i
\(256\) −72.4934 + 317.614i −0.283177 + 1.24068i
\(257\) 177.185 + 85.3278i 0.689436 + 0.332015i 0.745588 0.666407i \(-0.232169\pi\)
−0.0561518 + 0.998422i \(0.517883\pi\)
\(258\) 186.420 + 65.2312i 0.722558 + 0.252834i
\(259\) −105.988 + 66.5967i −0.409220 + 0.257130i
\(260\) 420.735i 1.61821i
\(261\) −121.415 + 0.770650i −0.465191 + 0.00295268i
\(262\) −80.1535 −0.305929
\(263\) 244.782 + 389.569i 0.930731 + 1.48125i 0.875751 + 0.482763i \(0.160367\pi\)
0.0549801 + 0.998487i \(0.482490\pi\)
\(264\) −4.82301 + 13.7834i −0.0182690 + 0.0522097i
\(265\) −39.3635 + 81.7392i −0.148542 + 0.308450i
\(266\) −47.9923 10.9539i −0.180422 0.0411802i
\(267\) 155.845 35.5706i 0.583689 0.133223i
\(268\) 25.2387 12.1543i 0.0941743 0.0453519i
\(269\) 158.746 17.8864i 0.590136 0.0664923i 0.188153 0.982140i \(-0.439750\pi\)
0.401982 + 0.915647i \(0.368321\pi\)
\(270\) −417.258 332.752i −1.54540 1.23241i
\(271\) −117.128 334.733i −0.432207 1.23518i −0.929897 0.367821i \(-0.880104\pi\)
0.497690 0.867355i \(-0.334182\pi\)
\(272\) −498.223 56.1362i −1.83170 0.206383i
\(273\) 157.212 + 157.212i 0.575870 + 0.575870i
\(274\) 258.538 206.177i 0.943570 0.752472i
\(275\) −58.7501 36.9151i −0.213637 0.134237i
\(276\) 52.4112 83.4120i 0.189896 0.302217i
\(277\) 317.714 + 398.400i 1.14698 + 1.43827i 0.880259 + 0.474494i \(0.157369\pi\)
0.266721 + 0.963774i \(0.414060\pi\)
\(278\) −443.584 + 443.584i −1.59563 + 1.59563i
\(279\) 27.2755 242.077i 0.0977618 0.867660i
\(280\) 73.3930 25.6813i 0.262118 0.0917190i
\(281\) 53.3766 66.9321i 0.189952 0.238192i −0.677731 0.735310i \(-0.737037\pi\)
0.867683 + 0.497117i \(0.165608\pi\)
\(282\) −31.9291 283.378i −0.113224 1.00489i
\(283\) 44.3462 + 92.0859i 0.156700 + 0.325392i 0.964508 0.264055i \(-0.0850601\pi\)
−0.807807 + 0.589447i \(0.799346\pi\)
\(284\) −44.8153 196.349i −0.157800 0.691369i
\(285\) −11.5946 + 50.7994i −0.0406829 + 0.178243i
\(286\) −144.183 69.4347i −0.504135 0.242779i
\(287\) −206.026 72.0915i −0.717860 0.251190i
\(288\) −146.254 + 91.8973i −0.507825 + 0.319088i
\(289\) 441.813i 1.52877i
\(290\) 454.773 + 281.743i 1.56818 + 0.971526i
\(291\) 112.635 0.387061
\(292\) 106.078 + 168.823i 0.363282 + 0.578161i
\(293\) 24.9996 71.4447i 0.0853228 0.243838i −0.893315 0.449431i \(-0.851627\pi\)
0.978638 + 0.205593i \(0.0659123\pi\)
\(294\) −53.2589 + 110.593i −0.181153 + 0.376168i
\(295\) −78.7541 17.9751i −0.266963 0.0609326i
\(296\) 49.0391 11.1929i 0.165673 0.0378137i
\(297\) −81.3653 + 39.1834i −0.273957 + 0.131931i
\(298\) 275.907 31.0873i 0.925864 0.104320i
\(299\) −209.151 166.792i −0.699501 0.557834i
\(300\) 51.6307 + 147.552i 0.172102 + 0.491840i
\(301\) −176.837 19.9247i −0.587498 0.0661951i
\(302\) 33.4398 + 33.4398i 0.110728 + 0.110728i
\(303\) 22.1455 17.6604i 0.0730873 0.0582852i
\(304\) 54.2716 + 34.1011i 0.178525 + 0.112175i
\(305\) 202.505 322.285i 0.663951 1.05667i
\(306\) −189.431 237.539i −0.619056 0.776272i
\(307\) −36.5877 + 36.5877i −0.119178 + 0.119178i −0.764181 0.645002i \(-0.776856\pi\)
0.645002 + 0.764181i \(0.276856\pi\)
\(308\) −5.94512 + 52.7644i −0.0193024 + 0.171313i
\(309\) −71.7390 + 25.1025i −0.232165 + 0.0812380i
\(310\) −669.230 + 839.187i −2.15881 + 2.70706i
\(311\) 35.9242 + 318.836i 0.115512 + 1.02520i 0.909053 + 0.416680i \(0.136807\pi\)
−0.793541 + 0.608516i \(0.791765\pi\)
\(312\) −38.7642 80.4947i −0.124244 0.257996i
\(313\) −32.4462 142.156i −0.103662 0.454173i −0.999943 0.0106861i \(-0.996598\pi\)
0.896281 0.443487i \(-0.146259\pi\)
\(314\) −46.8806 + 205.397i −0.149301 + 0.654131i
\(315\) 137.557 + 66.2438i 0.436688 + 0.210298i
\(316\) −136.618 47.8045i −0.432334 0.151280i
\(317\) −73.0249 + 45.8846i −0.230362 + 0.144746i −0.642268 0.766480i \(-0.722006\pi\)
0.411905 + 0.911227i \(0.364863\pi\)
\(318\) 77.7456i 0.244483i
\(319\) 76.3429 48.6480i 0.239319 0.152502i
\(320\) 251.236 0.785114
\(321\) −163.965 260.948i −0.510793 0.812923i
\(322\) −65.8964 + 188.321i −0.204647 + 0.584848i
\(323\) −40.5366 + 84.1752i −0.125500 + 0.260604i
\(324\) 80.5995 + 18.3963i 0.248764 + 0.0567787i
\(325\) 413.866 94.4622i 1.27343 0.290653i
\(326\) 392.703 189.116i 1.20461 0.580110i
\(327\) 66.7763 7.52388i 0.204209 0.0230088i
\(328\) 68.5760 + 54.6875i 0.209073 + 0.166730i
\(329\) 84.8642 + 242.528i 0.257946 + 0.737167i
\(330\) 125.541 + 14.1451i 0.380427 + 0.0428638i
\(331\) −49.8314 49.8314i −0.150548 0.150548i 0.627815 0.778363i \(-0.283950\pi\)
−0.778363 + 0.627815i \(0.783950\pi\)
\(332\) 343.835 274.199i 1.03565 0.825901i
\(333\) 83.6272 + 52.5465i 0.251133 + 0.157797i
\(334\) −235.851 + 375.354i −0.706140 + 1.12381i
\(335\) 37.4428 + 46.9518i 0.111770 + 0.140155i
\(336\) −152.670 + 152.670i −0.454374 + 0.454374i
\(337\) −34.9489 + 310.180i −0.103706 + 0.920414i 0.828870 + 0.559441i \(0.188984\pi\)
−0.932576 + 0.360974i \(0.882444\pi\)
\(338\) 495.954 173.542i 1.46732 0.513438i
\(339\) 41.9111 52.5548i 0.123632 0.155029i
\(340\) 66.6804 + 591.805i 0.196119 + 1.74060i
\(341\) 78.8056 + 163.642i 0.231102 + 0.479887i
\(342\) 8.64292 + 37.8671i 0.0252717 + 0.110723i
\(343\) 82.4682 361.317i 0.240432 1.05340i
\(344\) 64.4284 + 31.0271i 0.187292 + 0.0901950i
\(345\) 199.336 + 69.7508i 0.577786 + 0.202176i
\(346\) 94.7234 59.5187i 0.273767 0.172019i
\(347\) 266.679i 0.768528i −0.923223 0.384264i \(-0.874455\pi\)
0.923223 0.384264i \(-0.125545\pi\)
\(348\) −202.812 21.5487i −0.582793 0.0619216i
\(349\) −132.806 −0.380532 −0.190266 0.981733i \(-0.560935\pi\)
−0.190266 + 0.981733i \(0.560935\pi\)
\(350\) −168.445 268.079i −0.481273 0.765941i
\(351\) 182.487 521.517i 0.519905 1.48580i
\(352\) 55.8765 116.029i 0.158740 0.329627i
\(353\) −325.525 74.2990i −0.922168 0.210479i −0.265022 0.964242i \(-0.585379\pi\)
−0.657146 + 0.753763i \(0.728236\pi\)
\(354\) 67.4883 15.4038i 0.190645 0.0435135i
\(355\) 388.998 187.331i 1.09577 0.527694i
\(356\) −232.103 + 26.1517i −0.651975 + 0.0734599i
\(357\) −246.051 196.219i −0.689218 0.549633i
\(358\) −85.1953 243.474i −0.237976 0.680095i
\(359\) 417.651 + 47.0579i 1.16337 + 0.131081i 0.672464 0.740130i \(-0.265236\pi\)
0.490909 + 0.871211i \(0.336665\pi\)
\(360\) −43.3823 43.3823i −0.120506 0.120506i
\(361\) −272.903 + 217.633i −0.755964 + 0.602861i
\(362\) −357.867 224.863i −0.988583 0.621168i
\(363\) −129.861 + 206.672i −0.357743 + 0.569344i
\(364\) −202.549 253.989i −0.556454 0.697771i
\(365\) −302.243 + 302.243i −0.828063 + 0.828063i
\(366\) −36.5202 + 324.126i −0.0997821 + 0.885590i
\(367\) −658.212 + 230.319i −1.79349 + 0.627571i −0.793680 + 0.608336i \(0.791837\pi\)
−0.999815 + 0.0192348i \(0.993877\pi\)
\(368\) 161.973 203.107i 0.440143 0.551922i
\(369\) 19.2830 + 171.141i 0.0522574 + 0.463797i
\(370\) −188.813 392.074i −0.510305 1.05966i
\(371\) 15.5878 + 68.2946i 0.0420156 + 0.184082i
\(372\) 91.0574 398.949i 0.244778 1.07244i
\(373\) −0.614583 0.295968i −0.00164768 0.000793479i 0.433060 0.901365i \(-0.357434\pi\)
−0.434707 + 0.900572i \(0.643148\pi\)
\(374\) 213.812 + 74.8159i 0.571689 + 0.200042i
\(375\) 35.3920 22.2383i 0.0943787 0.0593021i
\(376\) 103.252i 0.274607i
\(377\) −119.813 + 540.735i −0.317807 + 1.43431i
\(378\) −412.083 −1.09017
\(379\) 56.7788 + 90.3630i 0.149812 + 0.238425i 0.913196 0.407520i \(-0.133606\pi\)
−0.763384 + 0.645945i \(0.776464\pi\)
\(380\) 25.1459 71.8628i 0.0661733 0.189113i
\(381\) 3.90018 8.09882i 0.0102367 0.0212567i
\(382\) 552.446 + 126.092i 1.44619 + 0.330085i
\(383\) −427.991 + 97.6862i −1.11747 + 0.255055i −0.741087 0.671409i \(-0.765690\pi\)
−0.376383 + 0.926464i \(0.622832\pi\)
\(384\) 132.213 63.6705i 0.344305 0.165809i
\(385\) −113.116 + 12.7451i −0.293807 + 0.0331041i
\(386\) −16.6101 13.2461i −0.0430313 0.0343163i
\(387\) 46.3750 + 132.532i 0.119832 + 0.342460i
\(388\) −163.543 18.4269i −0.421504 0.0474920i
\(389\) −139.368 139.368i −0.358272 0.358272i 0.504904 0.863176i \(-0.331528\pi\)
−0.863176 + 0.504904i \(0.831528\pi\)
\(390\) −604.308 + 481.920i −1.54951 + 1.23569i
\(391\) 320.626 + 201.462i 0.820014 + 0.515249i
\(392\) −23.6456 + 37.6317i −0.0603204 + 0.0959993i
\(393\) 40.8444 + 51.2172i 0.103930 + 0.130324i
\(394\) 710.867 710.867i 1.80423 1.80423i
\(395\) 34.7416 308.340i 0.0879535 0.780609i
\(396\) 39.5448 13.8373i 0.0998607 0.0349428i
\(397\) 91.8303 115.152i 0.231311 0.290054i −0.652607 0.757696i \(-0.726325\pi\)
0.883918 + 0.467642i \(0.154896\pi\)
\(398\) −106.947 949.181i −0.268711 2.38488i
\(399\) 17.4563 + 36.2484i 0.0437502 + 0.0908481i
\(400\) 91.7327 + 401.907i 0.229332 + 1.00477i
\(401\) −62.6107 + 274.315i −0.156136 + 0.684078i 0.834891 + 0.550416i \(0.185531\pi\)
−0.991027 + 0.133662i \(0.957326\pi\)
\(402\) −46.3665 22.3289i −0.115340 0.0555446i
\(403\) −1048.87 367.017i −2.60266 0.910711i
\(404\) −35.0439 + 22.0196i −0.0867424 + 0.0545039i
\(405\) 177.232i 0.437609i
\(406\) 410.173 48.8538i 1.01028 0.120330i
\(407\) −73.6370 −0.180926
\(408\) 67.2829 + 107.080i 0.164909 + 0.262451i
\(409\) −142.774 + 408.025i −0.349081 + 0.997615i 0.626775 + 0.779200i \(0.284374\pi\)
−0.975856 + 0.218415i \(0.929911\pi\)
\(410\) 329.246 683.686i 0.803038 1.66753i
\(411\) −263.490 60.1399i −0.641095 0.146326i
\(412\) 108.270 24.7120i 0.262792 0.0599805i
\(413\) −56.1958 + 27.0625i −0.136067 + 0.0655265i
\(414\) 156.434 17.6259i 0.377861 0.0425747i
\(415\) 737.109 + 587.825i 1.77617 + 1.41645i
\(416\) 260.230 + 743.695i 0.625553 + 1.78773i
\(417\) 509.485 + 57.4052i 1.22179 + 0.137662i
\(418\) −20.4770 20.4770i −0.0489879 0.0489879i
\(419\) 248.060 197.821i 0.592028 0.472126i −0.281060 0.959690i \(-0.590686\pi\)
0.873087 + 0.487564i \(0.162114\pi\)
\(420\) 217.153 + 136.446i 0.517030 + 0.324871i
\(421\) 284.084 452.117i 0.674783 1.07391i −0.317299 0.948325i \(-0.602776\pi\)
0.992083 0.125586i \(-0.0400811\pi\)
\(422\) 389.342 + 488.219i 0.922610 + 1.15692i
\(423\) 143.357 143.357i 0.338906 0.338906i
\(424\) 3.15173 27.9724i 0.00743333 0.0659727i
\(425\) −567.172 + 198.462i −1.33452 + 0.466970i
\(426\) −230.686 + 289.272i −0.541517 + 0.679041i
\(427\) −32.9057 292.046i −0.0770625 0.683949i
\(428\) 195.382 + 405.716i 0.456501 + 0.947934i
\(429\) 29.1041 + 127.513i 0.0678417 + 0.297234i
\(430\) 137.666 603.154i 0.320153 1.40268i
\(431\) 377.110 + 181.607i 0.874966 + 0.421361i 0.816783 0.576945i \(-0.195755\pi\)
0.0581825 + 0.998306i \(0.481469\pi\)
\(432\) 506.447 + 177.214i 1.17233 + 0.410217i
\(433\) 385.889 242.470i 0.891198 0.559977i −0.00679946 0.999977i \(-0.502164\pi\)
0.897998 + 0.440000i \(0.145021\pi\)
\(434\) 828.779i 1.90963i
\(435\) −51.7113 434.165i −0.118877 0.998079i
\(436\) −98.1886 −0.225203
\(437\) −25.7550 40.9889i −0.0589359 0.0937960i
\(438\) 120.978 345.736i 0.276206 0.789352i
\(439\) −74.7895 + 155.302i −0.170363 + 0.353763i −0.968617 0.248558i \(-0.920043\pi\)
0.798254 + 0.602321i \(0.205757\pi\)
\(440\) 44.5954 + 10.1786i 0.101353 + 0.0231332i
\(441\) −85.0785 + 19.4186i −0.192922 + 0.0440332i
\(442\) −1248.66 + 601.322i −2.82502 + 1.36046i
\(443\) −462.876 + 52.1536i −1.04487 + 0.117728i −0.617676 0.786433i \(-0.711926\pi\)
−0.427191 + 0.904161i \(0.640497\pi\)
\(444\) 129.709 + 103.439i 0.292137 + 0.232972i
\(445\) −165.380 472.629i −0.371640 1.06209i
\(446\) −827.507 93.2376i −1.85540 0.209053i
\(447\) −160.460 160.460i −0.358972 0.358972i
\(448\) 151.666 120.950i 0.338541 0.269977i
\(449\) −74.4790 46.7982i −0.165877 0.104228i 0.446535 0.894766i \(-0.352658\pi\)
−0.612412 + 0.790539i \(0.709801\pi\)
\(450\) −132.908 + 211.521i −0.295350 + 0.470048i
\(451\) −80.0597 100.392i −0.177516 0.222598i
\(452\) −69.4519 + 69.4519i −0.153655 + 0.153655i
\(453\) 4.32752 38.4078i 0.00955302 0.0847854i
\(454\) 579.911 202.920i 1.27734 0.446960i
\(455\) 434.223 544.498i 0.954335 1.19670i
\(456\) −1.81015 16.0655i −0.00396963 0.0352315i
\(457\) −152.739 317.166i −0.334221 0.694018i 0.664352 0.747420i \(-0.268708\pi\)
−0.998573 + 0.0534021i \(0.982993\pi\)
\(458\) 11.2125 + 49.1252i 0.0244814 + 0.107260i
\(459\) −174.033 + 762.486i −0.379156 + 1.66119i
\(460\) −278.021 133.888i −0.604393 0.291060i
\(461\) −265.537 92.9154i −0.576002 0.201552i 0.0265280 0.999648i \(-0.491555\pi\)
−0.602530 + 0.798096i \(0.705841\pi\)
\(462\) 82.5961 51.8986i 0.178780 0.112335i
\(463\) 683.990i 1.47730i 0.674088 + 0.738651i \(0.264537\pi\)
−0.674088 + 0.738651i \(0.735463\pi\)
\(464\) −525.110 116.351i −1.13170 0.250757i
\(465\) 877.256 1.88657
\(466\) 34.3205 + 54.6207i 0.0736491 + 0.117212i
\(467\) −128.753 + 367.954i −0.275702 + 0.787911i 0.719887 + 0.694091i \(0.244193\pi\)
−0.995589 + 0.0938199i \(0.970092\pi\)
\(468\) −111.216 + 230.942i −0.237640 + 0.493465i
\(469\) 45.2069 + 10.3182i 0.0963900 + 0.0220004i
\(470\) −870.883 + 198.773i −1.85294 + 0.422922i
\(471\) 155.136 74.7095i 0.329375 0.158619i
\(472\) 24.9063 2.80627i 0.0527677 0.00594549i
\(473\) −81.8477 65.2714i −0.173040 0.137994i
\(474\) 87.8226 + 250.983i 0.185280 + 0.529499i
\(475\) 76.3352 + 8.60092i 0.160706 + 0.0181072i
\(476\) 325.159 + 325.159i 0.683108 + 0.683108i
\(477\) 43.2133 34.4615i 0.0905940 0.0722463i
\(478\) −624.063 392.125i −1.30557 0.820345i
\(479\) 188.880 300.600i 0.394321 0.627558i −0.589278 0.807931i \(-0.700588\pi\)
0.983598 + 0.180373i \(0.0577305\pi\)
\(480\) −387.817 486.307i −0.807953 1.01314i
\(481\) 318.568 318.568i 0.662303 0.662303i
\(482\) 88.6253 786.572i 0.183870 1.63189i
\(483\) 153.914 53.8570i 0.318664 0.111505i
\(484\) 222.366 278.838i 0.459434 0.576112i
\(485\) −39.5034 350.602i −0.0814503 0.722891i
\(486\) 237.358 + 492.879i 0.488391 + 1.01415i
\(487\) 122.134 + 535.104i 0.250788 + 1.09878i 0.930787 + 0.365562i \(0.119123\pi\)
−0.679998 + 0.733214i \(0.738020\pi\)
\(488\) −26.2795 + 115.138i −0.0538515 + 0.235939i
\(489\) −320.955 154.564i −0.656351 0.316082i
\(490\) 362.926 + 126.993i 0.740666 + 0.259170i
\(491\) −14.6268 + 9.19065i −0.0297899 + 0.0187182i −0.546845 0.837234i \(-0.684171\pi\)
0.517055 + 0.855952i \(0.327028\pi\)
\(492\) 289.298i 0.588004i
\(493\) 82.8307 779.585i 0.168014 1.58131i
\(494\) 177.174 0.358653
\(495\) 47.7849 + 76.0493i 0.0965352 + 0.153635i
\(496\) 356.411 1018.57i 0.718571 2.05356i
\(497\) 144.645 300.359i 0.291036 0.604343i
\(498\) −787.674 179.781i −1.58168 0.361007i
\(499\) −274.548 + 62.6637i −0.550196 + 0.125579i −0.488576 0.872521i \(-0.662484\pi\)
−0.0616193 + 0.998100i \(0.519626\pi\)
\(500\) −55.0266 + 26.4994i −0.110053 + 0.0529988i
\(501\) 360.031 40.5658i 0.718625 0.0809696i
\(502\) 531.371 + 423.754i 1.05851 + 0.844132i
\(503\) −13.3525 38.1593i −0.0265457 0.0758634i 0.929848 0.367944i \(-0.119938\pi\)
−0.956394 + 0.292081i \(0.905652\pi\)
\(504\) −47.0740 5.30396i −0.0934008 0.0105237i
\(505\) −62.7390 62.7390i −0.124236 0.124236i
\(506\) −91.7647 + 73.1799i −0.181353 + 0.144624i
\(507\) −363.618 228.476i −0.717196 0.450644i
\(508\) −6.98794 + 11.1212i −0.0137558 + 0.0218922i
\(509\) −53.4784 67.0598i −0.105066 0.131748i 0.726519 0.687147i \(-0.241137\pi\)
−0.831584 + 0.555399i \(0.812566\pi\)
\(510\) 773.642 773.642i 1.51695 1.51695i
\(511\) −36.9525 + 327.963i −0.0723142 + 0.641806i
\(512\) −572.897 + 200.465i −1.11894 + 0.391534i
\(513\) 62.3385 78.1701i 0.121518 0.152378i
\(514\) 59.1064 + 524.584i 0.114993 + 1.02059i
\(515\) 103.298 + 214.500i 0.200578 + 0.416505i
\(516\) 52.4838 + 229.946i 0.101713 + 0.445633i
\(517\) −33.6354 + 147.366i −0.0650587 + 0.285041i
\(518\) −302.734 145.789i −0.584429 0.281446i
\(519\) −86.3006 30.1979i −0.166283 0.0581848i
\(520\) −236.963 + 148.894i −0.455698 + 0.286334i
\(521\) 299.573i 0.574997i 0.957781 + 0.287498i \(0.0928236\pi\)
−0.957781 + 0.287498i \(0.907176\pi\)
\(522\) −175.150 274.862i −0.335537 0.526555i
\(523\) −691.011 −1.32124 −0.660622 0.750718i \(-0.729708\pi\)
−0.660622 + 0.750718i \(0.729708\pi\)
\(524\) −50.9261 81.0484i −0.0971872 0.154673i
\(525\) −85.4639 + 244.242i −0.162788 + 0.465223i
\(526\) −535.861 + 1112.73i −1.01875 + 2.11545i
\(527\) 1533.51 + 350.014i 2.90989 + 0.664163i
\(528\) −123.829 + 28.2631i −0.234524 + 0.0535287i
\(529\) 299.840 144.395i 0.566805 0.272959i
\(530\) −242.001 + 27.2670i −0.456606 + 0.0514472i
\(531\) 38.4767 + 30.6841i 0.0724608 + 0.0577856i
\(532\) −19.4160 55.4877i −0.0364962 0.104300i
\(533\) 780.668 + 87.9601i 1.46467 + 0.165028i
\(534\) 303.419 + 303.419i 0.568200 + 0.568200i
\(535\) −754.757 + 601.898i −1.41076 + 1.12504i
\(536\) −15.7772 9.91347i −0.0294351 0.0184953i
\(537\) −112.164 + 178.508i −0.208871 + 0.332416i
\(538\) 267.368 + 335.269i 0.496967 + 0.623176i
\(539\) 46.0069 46.0069i 0.0853561 0.0853561i
\(540\) 71.3594 633.332i 0.132147 1.17284i
\(541\) 163.211 57.1098i 0.301683 0.105563i −0.175193 0.984534i \(-0.556055\pi\)
0.476876 + 0.878971i \(0.341769\pi\)
\(542\) 593.534 744.268i 1.09508 1.37319i
\(543\) 38.6759 + 343.258i 0.0712263 + 0.632151i
\(544\) −483.904 1004.84i −0.889530 1.84713i
\(545\) −46.8396 205.218i −0.0859443 0.376547i
\(546\) −132.803 + 581.850i −0.243230 + 1.06566i
\(547\) −608.085 292.838i −1.11167 0.535353i −0.214362 0.976754i \(-0.568767\pi\)
−0.897310 + 0.441401i \(0.854482\pi\)
\(548\) 372.743 + 130.428i 0.680188 + 0.238008i
\(549\) −196.347 + 123.373i −0.357644 + 0.224723i
\(550\) 186.253i 0.338642i
\(551\) −52.7823 + 85.1983i −0.0957937 + 0.154625i
\(552\) −65.5265 −0.118707
\(553\) −127.468 202.864i −0.230502 0.366843i
\(554\) −451.777 + 1291.10i −0.815482 + 2.33051i
\(555\) −154.316 + 320.441i −0.278048 + 0.577372i
\(556\) −730.370 166.702i −1.31362 0.299824i
\(557\) −430.440 + 98.2451i −0.772782 + 0.176383i −0.590690 0.806899i \(-0.701144\pi\)
−0.182093 + 0.983281i \(0.558287\pi\)
\(558\) 589.169 283.729i 1.05586 0.508474i
\(559\) 636.466 71.7124i 1.13858 0.128287i
\(560\) 528.764 + 421.676i 0.944222 + 0.752992i
\(561\) −61.1469 174.748i −0.108996 0.311493i
\(562\) 228.359 + 25.7299i 0.406333 + 0.0457827i
\(563\) 505.628 + 505.628i 0.898096 + 0.898096i 0.995268 0.0971715i \(-0.0309795\pi\)
−0.0971715 + 0.995268i \(0.530980\pi\)
\(564\) 266.256 212.332i 0.472085 0.376475i
\(565\) −178.288 112.026i −0.315554 0.198276i
\(566\) −145.968 + 232.307i −0.257894 + 0.410436i
\(567\) 85.3225 + 106.991i 0.150481 + 0.188697i
\(568\) −94.7263 + 94.7263i −0.166772 + 0.166772i
\(569\) 23.0557 204.625i 0.0405197 0.359622i −0.957049 0.289927i \(-0.906369\pi\)
0.997568 0.0696949i \(-0.0222026\pi\)
\(570\) −132.020 + 46.1959i −0.231615 + 0.0810455i
\(571\) 699.676 877.367i 1.22535 1.53654i 0.467698 0.883888i \(-0.345083\pi\)
0.757655 0.652656i \(-0.226345\pi\)
\(572\) −21.3975 189.908i −0.0374082 0.332007i
\(573\) −200.942 417.261i −0.350685 0.728204i
\(574\) −130.380 571.232i −0.227143 0.995177i
\(575\) 69.2815 303.542i 0.120490 0.527899i
\(576\) −137.904 66.4110i −0.239416 0.115297i
\(577\) 648.576 + 226.947i 1.12405 + 0.393322i 0.827371 0.561656i \(-0.189836\pi\)
0.296678 + 0.954978i \(0.404121\pi\)
\(578\) 1004.19 630.977i 1.73736 1.09166i
\(579\) 17.3636i 0.0299889i
\(580\) 4.05499 + 638.857i 0.00699136 + 1.10148i
\(581\) 727.967 1.25296
\(582\) 160.860 + 256.007i 0.276391 + 0.439874i
\(583\) −13.6106 + 38.8968i −0.0233457 + 0.0667183i
\(584\) 57.5431 119.489i 0.0985327 0.204605i
\(585\) −535.731 122.277i −0.915779 0.209021i
\(586\) 198.089 45.2126i 0.338036 0.0771545i
\(587\) −95.7428 + 46.1073i −0.163105 + 0.0785474i −0.513655 0.857997i \(-0.671709\pi\)
0.350550 + 0.936544i \(0.385995\pi\)
\(588\) −145.666 + 16.4127i −0.247732 + 0.0279127i
\(589\) −157.215 125.375i −0.266919 0.212861i
\(590\) −71.6174 204.671i −0.121385 0.346899i
\(591\) −816.478 91.9950i −1.38152 0.155660i
\(592\) 309.363 + 309.363i 0.522572 + 0.522572i
\(593\) −338.480 + 269.929i −0.570793 + 0.455192i −0.865861 0.500284i \(-0.833229\pi\)
0.295069 + 0.955476i \(0.404657\pi\)
\(594\) −205.262 128.974i −0.345558 0.217129i
\(595\) −524.482 + 834.708i −0.881482 + 1.40287i
\(596\) 206.734 + 259.236i 0.346869 + 0.434960i
\(597\) −552.019 + 552.019i −0.924654 + 0.924654i
\(598\) 80.4014 713.582i 0.134450 1.19328i
\(599\) −300.963 + 105.311i −0.502442 + 0.175812i −0.569587 0.821931i \(-0.692897\pi\)
0.0671447 + 0.997743i \(0.478611\pi\)
\(600\) 64.8316 81.2963i 0.108053 0.135494i
\(601\) 90.6856 + 804.857i 0.150891 + 1.33920i 0.809682 + 0.586869i \(0.199640\pi\)
−0.658791 + 0.752326i \(0.728932\pi\)
\(602\) −207.263 430.386i −0.344291 0.714927i
\(603\) −8.14130 35.6694i −0.0135013 0.0591532i
\(604\) −12.5669 + 55.0593i −0.0208062 + 0.0911577i
\(605\) 688.860 + 331.737i 1.13861 + 0.548326i
\(606\) 71.7673 + 25.1125i 0.118428 + 0.0414397i
\(607\) 114.515 71.9543i 0.188657 0.118541i −0.434392 0.900724i \(-0.643037\pi\)
0.623049 + 0.782183i \(0.285894\pi\)
\(608\) 142.578i 0.234504i
\(609\) −240.232 237.201i −0.394469 0.389493i
\(610\) 1021.73 1.67496
\(611\) −492.021 783.047i −0.805272 1.28158i
\(612\) 119.835 342.468i 0.195808 0.559589i
\(613\) 335.706 697.102i 0.547645 1.13720i −0.425063 0.905164i \(-0.639748\pi\)
0.972708 0.232033i \(-0.0745377\pi\)
\(614\) −135.413 30.9071i −0.220542 0.0503372i
\(615\) −604.644 + 138.006i −0.983161 + 0.224400i
\(616\) 31.8215 15.3244i 0.0516583 0.0248773i
\(617\) −227.497 + 25.6327i −0.368714 + 0.0415441i −0.294378 0.955689i \(-0.595112\pi\)
−0.0743364 + 0.997233i \(0.523684\pi\)
\(618\) −159.509 127.205i −0.258106 0.205833i
\(619\) −55.4200 158.381i −0.0895314 0.255866i 0.890407 0.455164i \(-0.150419\pi\)
−0.979939 + 0.199298i \(0.936134\pi\)
\(620\) −1273.76 143.518i −2.05445 0.231480i
\(621\) −286.546 286.546i −0.461427 0.461427i
\(622\) −673.375 + 536.998i −1.08260 + 0.863341i
\(623\) −327.368 205.699i −0.525471 0.330175i
\(624\) 413.436 657.979i 0.662557 1.05445i
\(625\) −428.102 536.823i −0.684964 0.858917i
\(626\) 276.767 276.767i 0.442120 0.442120i
\(627\) −2.64997 + 23.5191i −0.00422643 + 0.0375106i
\(628\) −237.476 + 83.0965i −0.378147 + 0.132319i
\(629\) −397.609 + 498.586i −0.632129 + 0.792664i
\(630\) 45.8869 + 407.257i 0.0728363 + 0.646440i
\(631\) 366.946 + 761.972i 0.581531 + 1.20756i 0.959491 + 0.281740i \(0.0909116\pi\)
−0.377959 + 0.925822i \(0.623374\pi\)
\(632\) 21.4234 + 93.8622i 0.0338979 + 0.148516i
\(633\) 113.567 497.570i 0.179411 0.786051i
\(634\) −208.581 100.447i −0.328993 0.158435i
\(635\) −26.5773 9.29981i −0.0418541 0.0146454i
\(636\) 78.6136 49.3962i 0.123606 0.0776670i
\(637\) 398.070i 0.624913i
\(638\) 219.601 + 104.042i 0.344202 + 0.163076i
\(639\) −263.040 −0.411643
\(640\) −244.559 389.213i −0.382123 0.608146i
\(641\) 127.709 364.971i 0.199234 0.569377i −0.800310 0.599587i \(-0.795332\pi\)
0.999544 + 0.0302093i \(0.00961738\pi\)
\(642\) 358.941 745.348i 0.559097 1.16098i
\(643\) 190.043 + 43.3761i 0.295557 + 0.0674589i 0.367728 0.929933i \(-0.380136\pi\)
−0.0721713 + 0.997392i \(0.522993\pi\)
\(644\) −232.291 + 53.0190i −0.360701 + 0.0823277i
\(645\) −455.560 + 219.386i −0.706295 + 0.340134i
\(646\) −249.213 + 28.0796i −0.385779 + 0.0434669i
\(647\) −420.130 335.042i −0.649350 0.517839i 0.242511 0.970149i \(-0.422029\pi\)
−0.891861 + 0.452309i \(0.850600\pi\)
\(648\) −18.1623 51.9049i −0.0280283 0.0801002i
\(649\) −36.4616 4.10824i −0.0561812 0.00633010i
\(650\) 805.766 + 805.766i 1.23964 + 1.23964i
\(651\) 529.581 422.327i 0.813488 0.648735i
\(652\) 440.734 + 276.931i 0.675972 + 0.424742i
\(653\) 346.424 551.330i 0.530511 0.844304i −0.468726 0.883343i \(-0.655287\pi\)
0.999238 + 0.0390396i \(0.0124299\pi\)
\(654\) 112.468 + 141.030i 0.171969 + 0.215642i
\(655\) 145.101 145.101i 0.221528 0.221528i
\(656\) −85.4185 + 758.110i −0.130211 + 1.15566i
\(657\) 245.795 86.0074i 0.374117 0.130909i
\(658\) −430.041 + 539.254i −0.653557 + 0.819535i
\(659\) −21.4040 189.966i −0.0324795 0.288264i −0.999444 0.0333513i \(-0.989382\pi\)
0.966964 0.254912i \(-0.0820466\pi\)
\(660\) 65.4603 + 135.930i 0.0991823 + 0.205954i
\(661\) 220.074 + 964.209i 0.332942 + 1.45871i 0.813405 + 0.581698i \(0.197611\pi\)
−0.480463 + 0.877015i \(0.659532\pi\)
\(662\) 42.0946 184.428i 0.0635869 0.278593i
\(663\) 1020.52 + 491.459i 1.53925 + 0.741265i
\(664\) −276.112 96.6158i −0.415832 0.145506i
\(665\) 106.709 67.0499i 0.160465 0.100827i
\(666\) 265.120i 0.398078i
\(667\) 319.189 + 251.247i 0.478544 + 0.376682i
\(668\) −529.394 −0.792506
\(669\) 362.100 + 576.279i 0.541256 + 0.861404i
\(670\) −53.2423 + 152.158i −0.0794661 + 0.227101i
\(671\) 75.0146 155.769i 0.111795 0.232145i
\(672\) −468.235 106.871i −0.696778 0.159035i
\(673\) 1093.28 249.533i 1.62448 0.370777i 0.689169 0.724600i \(-0.257976\pi\)
0.935312 + 0.353823i \(0.115118\pi\)
\(674\) −754.917 + 363.549i −1.12005 + 0.539390i
\(675\) 639.014 71.9996i 0.946688 0.106666i
\(676\) 490.587 + 391.230i 0.725721 + 0.578743i
\(677\) −266.705 762.199i −0.393951 1.12585i −0.954625 0.297811i \(-0.903743\pi\)
0.560673 0.828037i \(-0.310542\pi\)
\(678\) 179.307 + 20.2030i 0.264464 + 0.0297980i
\(679\) −192.634 192.634i −0.283702 0.283702i
\(680\) 309.714 246.989i 0.455462 0.363219i
\(681\) −425.173 267.154i −0.624336 0.392296i
\(682\) −259.393 + 412.822i −0.380342 + 0.605310i
\(683\) 172.817 + 216.706i 0.253027 + 0.317285i 0.892080 0.451877i \(-0.149245\pi\)
−0.639054 + 0.769162i \(0.720674\pi\)
\(684\) −32.7985 + 32.7985i −0.0479511 + 0.0479511i
\(685\) −94.7880 + 841.266i −0.138377 + 1.22813i
\(686\) 939.011 328.574i 1.36882 0.478971i
\(687\) 25.6768 32.1977i 0.0373753 0.0468671i
\(688\) 69.6403 + 618.075i 0.101221 + 0.898364i
\(689\) −109.393 227.157i −0.158771 0.329691i
\(690\) 126.147 + 552.684i 0.182821 + 0.800992i
\(691\) −129.908 + 569.165i −0.188000 + 0.823683i 0.789669 + 0.613533i \(0.210252\pi\)
−0.977669 + 0.210150i \(0.932605\pi\)
\(692\) 120.366 + 57.9654i 0.173940 + 0.0837650i
\(693\) 65.4583 + 22.9048i 0.0944564 + 0.0330517i
\(694\) 606.132 380.858i 0.873390 0.548787i
\(695\) 1606.02i 2.31083i
\(696\) 59.6366 + 121.852i 0.0856848 + 0.175075i
\(697\) −1112.03 −1.59545
\(698\) −189.667 301.853i −0.271729 0.432454i
\(699\) 17.4131 49.7639i 0.0249115 0.0711930i
\(700\) 164.049 340.652i 0.234356 0.486646i
\(701\) −1089.11 248.581i −1.55365 0.354610i −0.642366 0.766398i \(-0.722047\pi\)
−0.911280 + 0.411788i \(0.864904\pi\)
\(702\) 1445.97 330.033i 2.05979 0.470133i
\(703\) 73.4521 35.3727i 0.104484 0.0503167i
\(704\) 113.401 12.7773i 0.161081 0.0181495i
\(705\) 570.796 + 455.194i 0.809639 + 0.645666i
\(706\) −296.026 845.994i −0.419300 1.19829i
\(707\) −68.0779 7.67054i −0.0962913 0.0108494i
\(708\) 58.4549 + 58.4549i 0.0825634 + 0.0825634i
\(709\) −36.5193 + 29.1232i −0.0515082 + 0.0410764i −0.648906 0.760869i \(-0.724773\pi\)
0.597397 + 0.801945i \(0.296202\pi\)
\(710\) 981.331 + 616.611i 1.38216 + 0.868467i
\(711\) −100.575 + 160.065i −0.141456 + 0.225126i
\(712\) 96.8679 + 121.468i 0.136050 + 0.170602i
\(713\) −576.300 + 576.300i −0.808275 + 0.808275i
\(714\) 94.5863 839.477i 0.132474 1.17574i
\(715\) 386.708 135.315i 0.540850 0.189252i
\(716\) 192.063 240.839i 0.268244 0.336368i
\(717\) 67.4446 + 598.587i 0.0940650 + 0.834850i
\(718\) 489.511 + 1016.48i 0.681771 + 1.41571i
\(719\) 47.5410 + 208.291i 0.0661210 + 0.289695i 0.997168 0.0752038i \(-0.0239607\pi\)
−0.931047 + 0.364899i \(0.881104\pi\)
\(720\) 118.744 520.250i 0.164922 0.722570i
\(721\) 165.623 + 79.7599i 0.229713 + 0.110624i
\(722\) −884.403 309.466i −1.22494 0.428623i
\(723\) −547.772 + 344.188i −0.757638 + 0.476055i
\(724\) 504.730i 0.697141i
\(725\) −627.517 + 147.423i −0.865541 + 0.203342i
\(726\) −655.204 −0.902484
\(727\) 312.925 + 498.018i 0.430434 + 0.685031i 0.989571 0.144044i \(-0.0460105\pi\)
−0.559138 + 0.829075i \(0.688868\pi\)
\(728\) −71.3695 + 203.962i −0.0980351 + 0.280168i
\(729\) 294.699 611.949i 0.404251 0.839436i
\(730\) −1118.61 255.316i −1.53235 0.349748i
\(731\) −883.886 + 201.741i −1.20915 + 0.275980i
\(732\) −350.948 + 169.008i −0.479437 + 0.230885i
\(733\) −208.812 + 23.5275i −0.284873 + 0.0320975i −0.253245 0.967402i \(-0.581498\pi\)
−0.0316283 + 0.999500i \(0.510069\pi\)
\(734\) −1463.52 1167.12i −1.99389 1.59008i
\(735\) −103.791 296.619i −0.141213 0.403563i
\(736\) 574.244 + 64.7017i 0.780222 + 0.0879100i
\(737\) 19.2885 + 19.2885i 0.0261717 + 0.0261717i
\(738\) −361.446 + 288.244i −0.489765 + 0.390574i
\(739\) 291.025 + 182.863i 0.393810 + 0.247447i 0.714351 0.699788i \(-0.246722\pi\)
−0.320541 + 0.947234i \(0.603865\pi\)
\(740\) 276.488 440.028i 0.373632 0.594632i
\(741\) −90.2840 113.213i −0.121841 0.152783i
\(742\) −132.964 + 132.964i −0.179197 + 0.179197i
\(743\) −26.4958 + 235.157i −0.0356605 + 0.316496i 0.963201 + 0.268784i \(0.0866217\pi\)
−0.998861 + 0.0477124i \(0.984807\pi\)
\(744\) −256.917 + 89.8992i −0.345319 + 0.120832i
\(745\) −443.194 + 555.747i −0.594891 + 0.745970i
\(746\) −0.205016 1.81957i −0.000274820 0.00243910i
\(747\) −249.216 517.502i −0.333623 0.692774i
\(748\) 60.1954 + 263.733i 0.0804752 + 0.352585i
\(749\) −165.866 + 726.707i −0.221450 + 0.970236i
\(750\) 101.090 + 48.6826i 0.134787 + 0.0649101i
\(751\) 550.749 + 192.716i 0.733355 + 0.256612i 0.671016 0.741443i \(-0.265858\pi\)
0.0623390 + 0.998055i \(0.480144\pi\)
\(752\) 760.421 477.804i 1.01120 0.635378i
\(753\) 555.476i 0.737683i
\(754\) −1400.14 + 499.928i −1.85695 + 0.663035i
\(755\) −121.071 −0.160359
\(756\) −261.820 416.683i −0.346322 0.551168i
\(757\) 363.807 1039.70i 0.480590 1.37345i −0.407259 0.913313i \(-0.633515\pi\)
0.887849 0.460135i \(-0.152199\pi\)
\(758\) −124.296 + 258.104i −0.163979 + 0.340507i
\(759\) 93.5223 + 21.3459i 0.123218 + 0.0281237i
\(760\) −49.3729 + 11.2690i −0.0649643 + 0.0148277i
\(761\) 191.779 92.3558i 0.252009 0.121361i −0.303615 0.952795i \(-0.598194\pi\)
0.555624 + 0.831434i \(0.312479\pi\)
\(762\) 23.9778 2.70165i 0.0314669 0.00354547i
\(763\) −127.072 101.336i −0.166542 0.132813i
\(764\) 223.501 + 638.728i 0.292540 + 0.836031i
\(765\) 772.937 + 87.0891i 1.01038 + 0.113842i
\(766\) −833.267 833.267i −1.08782 1.08782i
\(767\) 175.513 139.967i 0.228830 0.182486i
\(768\) 605.183 + 380.261i 0.787998 + 0.495132i
\(769\) −122.480 + 194.927i −0.159272 + 0.253481i −0.916821 0.399298i \(-0.869254\pi\)
0.757549 + 0.652779i \(0.226397\pi\)
\(770\) −190.515 238.898i −0.247422 0.310257i
\(771\) 305.084 305.084i 0.395699 0.395699i