Properties

Label 29.3.f.a.26.4
Level $29$
Weight $3$
Character 29.26
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 26.4
Character \(\chi\) \(=\) 29.26
Dual form 29.3.f.a.19.4

$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{19}{28}\right)\)

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 −0.270708 0.962662i \(-0.587258\pi\)
0.984784 0.173784i \(-0.0555995\pi\)
\(3\) 0.724599 + 2.07079i 0.241533 + 0.690262i 0.999288 + 0.0377230i \(0.0120105\pi\)
−0.757755 + 0.652539i \(0.773704\pi\)
\(4\) −1.39088 2.88819i −0.347720 0.722048i
\(5\) −6.69994 + 1.52922i −1.33999 + 0.305843i −0.831643 0.555311i \(-0.812599\pi\)
−0.508344 + 0.861154i \(0.669742\pi\)
\(6\) 5.74151 + 1.31046i 0.956918 + 0.218410i
\(7\) −4.78081 2.30231i −0.682972 0.328902i 0.0600247 0.998197i \(-0.480882\pi\)
−0.742997 + 0.669295i \(0.766596\pi\)
\(8\) 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 −0.251829 0.967772i \(-0.581032\pi\)
−0.0301656 + 0.999545i \(0.509603\pi\)
\(12\) 4.97300 4.97300i 0.414417 0.414417i
\(13\) 14.9316 + 11.9076i 1.14859 + 0.915967i 0.997366 0.0725336i \(-0.0231085\pi\)
0.151220 + 0.988500i \(0.451680\pi\)
\(14\) −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 −0.991065 0.133383i \(-0.957416\pi\)
−0.133383 0.991065i \(-0.542584\pi\)
\(18\) −1.25834 11.1681i −0.0699080 0.620450i
\(19\) 3.26204 + 1.14144i 0.171686 + 0.0600756i 0.414753 0.909934i \(-0.363868\pi\)
−0.243067 + 0.970009i \(0.578154\pi\)
\(20\) 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 0.860870 + 0.508824i \(0.169920\pi\)
−0.996388 + 0.0849173i \(0.972937\pi\)
\(24\) 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 −0.206864 + 0.978370i \(0.566326\pi\)
−0.791726 + 0.610877i \(0.790817\pi\)
\(32\) −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 0.422899 0.906177i \(-0.361012\pi\)
0.210653 + 0.977561i \(0.432441\pi\)
\(38\) 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 −0.256981 0.966417i \(-0.582728\pi\)
0.966417 + 0.256981i \(0.0827277\pi\)
\(42\) −24.4319 19.4838i −0.581713 0.463901i
\(43\) 28.3964 17.8426i 0.660380 0.414945i −0.159721 0.987162i \(-0.551060\pi\)
0.820102 + 0.572218i \(0.193917\pi\)
\(44\) 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 0.909395 + 0.415934i \(0.136545\pi\)
−0.794040 + 0.607865i \(0.792026\pi\)
\(48\) 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 0.995051 0.0993688i \(-0.0316824\pi\)
−0.939624 + 0.342208i \(0.888825\pi\)
\(54\) 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 −0.990951 0.134225i \(-0.957145\pi\)
0.691069 0.722789i \(-0.257140\pi\)
\(62\) 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 −0.673148 0.739507i \(-0.735058\pi\)
0.571177 + 0.820827i \(0.306487\pi\)
\(68\) −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 0.213235 0.977001i \(-0.431600\pi\)
−0.905056 + 0.425292i \(0.860171\pi\)
\(72\) 7.55912 4.74971i 0.104988 0.0659682i
\(73\) 33.0911 + 52.6641i 0.453302 + 0.721426i 0.992698 0.120626i \(-0.0384902\pi\)
−0.539396 + 0.842052i \(0.681347\pi\)
\(74\) 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 −0.920277 0.391267i \(-0.872037\pi\)
0.984269 0.176676i \(-0.0565346\pi\)
\(80\) −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 −0.988885 0.148686i \(-0.952496\pi\)
−0.500312 + 0.865845i \(0.666782\pi\)
\(84\) −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 −0.554754 0.832014i \(-0.687188\pi\)
0.990318 + 0.138819i \(0.0443306\pi\)
\(90\) 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 −0.822827 0.568292i \(-0.807604\pi\)
0.997636 + 0.0687153i \(0.0218900\pi\)
\(98\) −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 −0.476826 0.878998i \(-0.658213\pi\)
0.585063 + 0.810988i \(0.301070\pi\)
\(102\) −84.7022 134.803i −0.830414 1.32160i
\(103\) −21.5998 + 27.0853i −0.209706 + 0.262964i −0.875550 0.483128i \(-0.839501\pi\)
0.665843 + 0.746092i \(0.268072\pi\)
\(104\) 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 0.999081 + 0.0428518i \(0.0136443\pi\)
−0.180539 + 0.983568i \(0.557784\pi\)
\(108\) 10.3837 92.1581i 0.0961456 0.853316i
\(109\) 13.2898 27.5965i 0.121925 0.253179i −0.831069 0.556169i \(-0.812271\pi\)
0.952994 + 0.302990i \(0.0979849\pi\)
\(110\) 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 −0.199264 0.979946i \(-0.563855\pi\)
0.455195 + 0.890392i \(0.349570\pi\)
\(114\) 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 −0.0959203 0.995389i \(-0.530579\pi\)
0.127979 + 0.991777i \(0.459151\pi\)
\(128\) 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 0.780572 0.625065i \(-0.214928\pi\)
−0.901842 + 0.432066i \(0.857785\pi\)
\(132\) −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 0.837276 + 0.546781i \(0.184147\pi\)
−0.937954 + 0.346761i \(0.887282\pi\)
\(138\) −35.7915 + 74.3218i −0.259359 + 0.538564i
\(139\) 52.0026 227.838i 0.374119 1.63912i −0.340958 0.940079i \(-0.610751\pi\)
0.715077 0.699045i \(-0.246392\pi\)
\(140\) −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 0.995555 0.0941861i \(-0.0300249\pi\)
−0.694356 + 0.719632i \(0.744311\pi\)
\(150\) 127.620 29.1285i 0.850802 0.194190i
\(151\) 17.1757 + 3.92024i 0.113746 + 0.0259618i 0.279015 0.960287i \(-0.409992\pi\)
−0.165269 + 0.986249i \(0.552849\pi\)
\(152\) 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 −0.507920 0.861404i \(-0.669585\pi\)
0.861404 + 0.507920i \(0.169585\pi\)
\(158\) −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 0.917445 + 0.397862i \(0.130248\pi\)
−0.805910 + 0.592037i \(0.798324\pi\)
\(164\) −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 −0.568600 0.822614i \(-0.692515\pi\)
0.997662 0.0683416i \(-0.0217708\pi\)
\(168\) 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 \(0.0384334\pi\)
−0.992720 + 0.120449i \(0.961567\pi\)
\(174\) −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 −0.476045 0.879421i \(-0.657930\pi\)
−0.0473352 + 0.998879i \(0.515073\pi\)
\(180\) 89.9227 + 20.5243i 0.499571 + 0.114024i
\(181\) −141.858 68.3150i −0.783744 0.377431i −0.00117831 0.999999i \(-0.500375\pi\)
−0.782566 + 0.622568i \(0.786089\pi\)
\(182\) −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 0.980085 0.198578i \(-0.0636325\pi\)
−0.198578 + 0.980085i \(0.563632\pi\)
\(192\) −8.98011 79.7007i −0.0467714 0.415108i
\(193\) −7.47034 2.61398i −0.0387064 0.0135440i 0.310856 0.950457i \(-0.399384\pi\)
−0.349563 + 0.936913i \(0.613670\pi\)
\(194\) −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 0.0912973 + 0.995824i \(0.470899\pi\)
−0.514328 + 0.857594i \(0.671958\pi\)
\(198\) 7.80661 + 34.2030i 0.0394273 + 0.172742i
\(199\) −320.598 + 154.392i −1.61105 + 0.775840i −0.999877 0.0156595i \(-0.995015\pi\)
−0.611170 + 0.791499i \(0.709301\pi\)
\(200\) 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 0.641205 0.767370i \(-0.278435\pi\)
0.454372 + 0.890812i \(0.349864\pi\)
\(212\) 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 −0.995394 0.0958637i \(-0.969439\pi\)
0.128036 0.991770i \(-0.459133\pi\)
\(224\) −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 0.954151 + 0.299326i \(0.0967617\pi\)
−0.729788 + 0.683674i \(0.760381\pi\)
\(228\) 21.8985 10.5458i 0.0960460 0.0462533i
\(229\) 17.7179 6.19978i 0.0773709 0.0270733i −0.291316 0.956627i \(-0.594093\pi\)
0.368687 + 0.929554i \(0.379807\pi\)
\(230\) −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 −0.162362 0.986731i \(-0.551911\pi\)
−0.872689 + 0.488277i \(0.837626\pi\)
\(240\) −277.866 31.3080i −1.15777 0.130450i
\(241\) −230.544 + 183.853i −0.956615 + 0.762875i −0.971506 0.237014i \(-0.923831\pi\)
0.0148913 + 0.999889i \(0.495260\pi\)
\(242\) −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 0.761254 0.648454i \(-0.224584\pi\)
0.190868 + 0.981616i \(0.438870\pi\)
\(252\) 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 −0.0561518 0.998422i \(-0.517883\pi\)
0.745588 + 0.666407i \(0.232169\pi\)
\(258\) 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 0.0549801 0.998487i \(-0.482490\pi\)
0.875751 0.482763i \(-0.160367\pi\)
\(264\) −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 0.401982 0.915647i \(-0.368321\pi\)
0.188153 + 0.982140i \(0.439750\pi\)
\(270\) −417.258 + 332.752i −1.54540 + 1.23241i
\(271\) −117.128 + 334.733i −0.432207 + 1.23518i 0.497690 + 0.867355i \(0.334182\pi\)
−0.929897 + 0.367821i \(0.880104\pi\)
\(272\) −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 0.266721 0.963774i \(-0.414060\pi\)
0.880259 0.474494i \(-0.157369\pi\)
\(278\) −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 0.867683 0.497117i \(-0.165608\pi\)
−0.677731 + 0.735310i \(0.737037\pi\)
\(282\) −31.9291 + 283.378i −0.113224 + 1.00489i
\(283\) 44.3462 92.0859i 0.156700 0.325392i −0.807807 0.589447i \(-0.799346\pi\)
0.964508 + 0.264055i \(0.0850601\pi\)
\(284\) −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 0.978638 0.205593i \(-0.0659123\pi\)
−0.893315 + 0.449431i \(0.851627\pi\)
\(294\) −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 0.645002 0.764181i \(-0.276856\pi\)
−0.764181 + 0.645002i \(0.776856\pi\)
\(308\) −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 −0.793541 0.608516i \(-0.791765\pi\)
0.909053 0.416680i \(-0.136807\pi\)
\(312\) −38.7642 + 80.4947i −0.124244 + 0.257996i
\(313\) −32.4462 + 142.156i −0.103662 + 0.454173i 0.896281 + 0.443487i \(0.146259\pi\)
−0.999943 + 0.0106861i \(0.996598\pi\)
\(314\) −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 0.411905 0.911227i \(-0.364863\pi\)
−0.642268 + 0.766480i \(0.722006\pi\)
\(318\) 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 −0.778363 0.627815i \(-0.783950\pi\)
0.627815 + 0.778363i \(0.283950\pi\)
\(332\) 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 −0.932576 0.360974i \(-0.882444\pi\)
0.828870 0.559441i \(-0.188984\pi\)
\(338\) 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 \(0.125545\pi\)
−0.923223 + 0.384264i \(0.874455\pi\)
\(348\) −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 −0.657146 0.753763i \(-0.728236\pi\)
−0.265022 + 0.964242i \(0.585379\pi\)
\(354\) 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 0.490909 0.871211i \(-0.336665\pi\)
0.672464 + 0.740130i \(0.265236\pi\)
\(360\) −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 −0.999815 0.0192348i \(-0.993877\pi\)
−0.793680 0.608336i \(-0.791837\pi\)
\(368\) 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 −0.434707 0.900572i \(-0.643148\pi\)
0.433060 + 0.901365i \(0.357434\pi\)
\(374\) 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 −0.763384 0.645945i \(-0.776464\pi\)
0.913196 + 0.407520i \(0.133606\pi\)
\(380\) 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 −0.376383 0.926464i \(-0.622832\pi\)
−0.741087 + 0.671409i \(0.765690\pi\)
\(384\) 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 −0.863176 0.504904i \(-0.831528\pi\)
0.504904 + 0.863176i \(0.331528\pi\)
\(390\) −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 0.883918 0.467642i \(-0.154896\pi\)
−0.652607 + 0.757696i \(0.726325\pi\)
\(398\) −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 −0.991027 0.133662i \(-0.957326\pi\)
0.834891 0.550416i \(-0.185531\pi\)
\(402\) −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 −0.975856 0.218415i \(-0.929911\pi\)
0.626775 0.779200i \(-0.284374\pi\)
\(410\) 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 0.873087 0.487564i \(-0.162114\pi\)
−0.281060 + 0.959690i \(0.590686\pi\)
\(420\) 217.153 136.446i 0.517030 0.324871i
\(421\) 284.084 + 452.117i 0.674783 + 1.07391i 0.992083 + 0.125586i \(0.0400811\pi\)
−0.317299 + 0.948325i \(0.602776\pi\)
\(422\) 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 0.0581825 0.998306i \(-0.481469\pi\)
0.816783 + 0.576945i \(0.195755\pi\)
\(432\) 506.447 177.214i 1.17233 0.410217i
\(433\) 385.889 + 242.470i 0.891198 + 0.559977i 0.897998 0.440000i \(-0.145021\pi\)
−0.00679946 + 0.999977i \(0.502164\pi\)
\(434\) 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 0.798254 0.602321i \(-0.205757\pi\)
−0.968617 + 0.248558i \(0.920043\pi\)
\(440\) 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 −0.427191 0.904161i \(-0.640497\pi\)
−0.617676 + 0.786433i \(0.711926\pi\)
\(444\) 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 −0.612412 0.790539i \(-0.709801\pi\)
0.446535 + 0.894766i \(0.352658\pi\)
\(450\) −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 −0.998573 0.0534021i \(-0.982993\pi\)
0.664352 + 0.747420i \(0.268708\pi\)
\(458\) 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 −0.602530 0.798096i \(-0.705841\pi\)
0.0265280 + 0.999648i \(0.491555\pi\)
\(462\) 82.5961 + 51.8986i 0.178780 + 0.112335i
\(463\) 683.990i 1.47730i −0.674088 0.738651i \(-0.735463\pi\)
0.674088 0.738651i \(-0.264537\pi\)
\(464\) −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 −0.995589 0.0938199i \(-0.970092\pi\)
0.719887 0.694091i \(-0.244193\pi\)
\(468\) −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 0.983598 0.180373i \(-0.0577305\pi\)
−0.589278 + 0.807931i \(0.700588\pi\)
\(480\) −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 −0.679998 0.733214i \(-0.738020\pi\)
0.930787 0.365562i \(-0.119123\pi\)
\(488\) −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 0.517055 0.855952i \(-0.327028\pi\)
−0.546845 + 0.837234i \(0.684171\pi\)
\(492\) 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 −0.0616193 0.998100i \(-0.519626\pi\)
−0.488576 + 0.872521i \(0.662484\pi\)
\(500\) −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 −0.956394 0.292081i \(-0.905652\pi\)
0.929848 + 0.367944i \(0.119938\pi\)
\(504\) −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 −0.831584 0.555399i \(-0.812566\pi\)
0.726519 + 0.687147i \(0.241137\pi\)
\(510\) 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 \(-0.907176\pi\)
0.957781 0.287498i \(-0.0928236\pi\)
\(522\) −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 0.476876 0.878971i \(-0.341769\pi\)
−0.175193 + 0.984534i \(0.556055\pi\)
\(542\) 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 −0.897310 0.441401i \(-0.854482\pi\)
−0.214362 + 0.976754i \(0.568767\pi\)
\(548\) 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 −0.182093 0.983281i \(-0.558287\pi\)
−0.590690 + 0.806899i \(0.701144\pi\)
\(558\) 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 −0.0971715 0.995268i \(-0.530980\pi\)
0.995268 + 0.0971715i \(0.0309795\pi\)
\(564\) 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 0.997568 + 0.0696949i \(0.0222026\pi\)
−0.957049 + 0.289927i \(0.906369\pi\)
\(570\) −132.020 46.1959i −0.231615 0.0810455i
\(571\) 699.676 + 877.367i 1.22535 + 1.53654i 0.757655 + 0.652656i \(0.226345\pi\)
0.467698 + 0.883888i \(0.345083\pi\)
\(572\) −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 0.296678 0.954978i \(-0.404121\pi\)
0.827371 + 0.561656i \(0.189836\pi\)
\(578\) 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 0.350550 0.936544i \(-0.385995\pi\)
−0.513655 + 0.857997i \(0.671709\pi\)
\(588\) −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 0.295069 0.955476i \(-0.404657\pi\)
−0.865861 + 0.500284i \(0.833229\pi\)
\(594\) −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 0.0671447 0.997743i \(-0.478611\pi\)
−0.569587 + 0.821931i \(0.692897\pi\)
\(600\) 64.8316 + 81.2963i 0.108053 + 0.135494i
\(601\) 90.6856 804.857i 0.150891 1.33920i −0.658791 0.752326i \(-0.728932\pi\)
0.809682 0.586869i \(-0.199640\pi\)
\(602\) −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 0.623049 0.782183i \(-0.285894\pi\)
−0.434392 + 0.900724i \(0.643037\pi\)
\(608\) 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 0.972708 + 0.232033i \(0.0745377\pi\)
−0.425063 + 0.905164i \(0.639748\pi\)
\(614\) −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 −0.0743364 0.997233i \(-0.523684\pi\)
−0.294378 + 0.955689i \(0.595112\pi\)
\(618\) −159.509 + 127.205i −0.258106 + 0.205833i
\(619\) −55.4200 + 158.381i −0.0895314 + 0.255866i −0.979939 0.199298i \(-0.936134\pi\)
0.890407 + 0.455164i \(0.150419\pi\)
\(620\) −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 −0.377959 0.925822i \(-0.623374\pi\)
0.959491 0.281740i \(-0.0909116\pi\)
\(632\) 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 0.999544 0.0302093i \(-0.00961738\pi\)
−0.800310 + 0.599587i \(0.795332\pi\)
\(642\) 358.941 + 745.348i 0.559097 + 1.16098i
\(643\) 190.043 43.3761i 0.295557 0.0674589i −0.0721713 0.997392i \(-0.522993\pi\)
0.367728 + 0.929933i \(0.380136\pi\)
\(644\) −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 −0.891861 0.452309i \(-0.850600\pi\)
0.242511 + 0.970149i \(0.422029\pi\)
\(648\) −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 0.999238 0.0390396i \(-0.0124299\pi\)
−0.468726 + 0.883343i \(0.655287\pi\)
\(654\) 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 0.966964 + 0.254912i \(0.0820466\pi\)
−0.999444 + 0.0333513i \(0.989382\pi\)
\(660\) 65.4603 135.930i 0.0991823 0.205954i
\(661\) 220.074 964.209i 0.332942 1.45871i −0.480463 0.877015i \(-0.659532\pi\)
0.813405 0.581698i \(-0.197611\pi\)
\(662\) 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 0.935312 0.353823i \(-0.115118\pi\)
0.689169 + 0.724600i \(0.257976\pi\)
\(674\) −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 0.560673 + 0.828037i \(0.310542\pi\)
−0.954625 + 0.297811i \(0.903743\pi\)
\(678\) 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 −0.639054 0.769162i \(-0.720674\pi\)
0.892080 + 0.451877i \(0.149245\pi\)
\(684\) −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 −0.977669 0.210150i \(-0.932605\pi\)
0.789669 0.613533i \(-0.210252\pi\)
\(692\) 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 −0.911280 0.411788i \(-0.864904\pi\)
−0.642366 + 0.766398i \(0.722047\pi\)
\(702\) 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 0.597397 0.801945i \(-0.296202\pi\)
−0.648906 + 0.760869i \(0.724773\pi\)
\(710\) 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 −0.931047 0.364899i \(-0.881104\pi\)
0.997168 + 0.0752038i \(0.0239607\pi\)
\(720\) 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 −0.559138 0.829075i \(-0.688868\pi\)
0.989571 + 0.144044i \(0.0460105\pi\)
\(728\) −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 −0.0316283 0.999500i \(-0.510069\pi\)
−0.253245 + 0.967402i \(0.581498\pi\)
\(734\) −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 −0.320541 0.947234i \(-0.603865\pi\)
0.714351 + 0.699788i \(0.246722\pi\)
\(740\) 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 −0.998861 0.0477124i \(-0.984807\pi\)
0.963201 0.268784i \(-0.0866217\pi\)
\(744\) −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 0.0623390 0.998055i \(-0.480144\pi\)
0.671016 + 0.741443i \(0.265858\pi\)
\(752\) 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 0.887849 + 0.460135i \(0.152199\pi\)
−0.407259 + 0.913313i \(0.633515\pi\)
\(758\) −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 0.555624 0.831434i \(-0.312479\pi\)
−0.303615 + 0.952795i \(0.598194\pi\)
\(762\) 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 0.757549 0.652779i \(-0.226397\pi\)
−0.916821 + 0.399298i \(0.869254\pi\)
\(770\) −190.515 + 238.898i −0.247422 + 0.310257i
\(771\) 305.084 + 305.084i 0.395699 + 0.395699i