Properties

Label 108.3.j.a.7.15
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.15
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.619770 - 1.90155i) q^{2} +(2.41946 + 1.77376i) q^{3} +(-3.23177 + 2.35705i) q^{4} +(0.463207 + 2.62698i) q^{5} +(1.87339 - 5.70004i) q^{6} +(4.34885 - 5.18275i) q^{7} +(6.48499 + 4.68454i) q^{8} +(2.70753 + 8.58308i) q^{9} +O(q^{10})\) \(q+(-0.619770 - 1.90155i) q^{2} +(2.41946 + 1.77376i) q^{3} +(-3.23177 + 2.35705i) q^{4} +(0.463207 + 2.62698i) q^{5} +(1.87339 - 5.70004i) q^{6} +(4.34885 - 5.18275i) q^{7} +(6.48499 + 4.68454i) q^{8} +(2.70753 + 8.58308i) q^{9} +(4.70825 - 2.50894i) q^{10} +(18.5390 + 3.26893i) q^{11} +(-12.0000 - 0.0296259i) q^{12} +(-4.76031 - 1.73261i) q^{13} +(-12.5505 - 5.05742i) q^{14} +(-3.53893 + 7.17748i) q^{15} +(4.88867 - 15.2349i) q^{16} +(7.37511 + 12.7741i) q^{17} +(14.6431 - 10.4680i) q^{18} +(-28.7994 - 16.6273i) q^{19} +(-7.68889 - 7.39799i) q^{20} +(19.7148 - 4.82562i) q^{21} +(-5.27392 - 37.2789i) q^{22} +(-11.3558 - 13.5334i) q^{23} +(7.38089 + 22.8369i) q^{24} +(16.8059 - 6.11683i) q^{25} +(-0.344344 + 10.1258i) q^{26} +(-8.67361 + 25.5689i) q^{27} +(-1.83848 + 26.9999i) q^{28} +(-38.2238 + 13.9123i) q^{29} +(15.8416 + 2.28106i) q^{30} +(4.43128 + 5.28100i) q^{31} +(-31.9997 + 0.146076i) q^{32} +(39.0561 + 40.7929i) q^{33} +(19.7196 - 21.9411i) q^{34} +(15.6294 + 9.02364i) q^{35} +(-28.9808 - 21.3568i) q^{36} +(-4.65176 - 8.05708i) q^{37} +(-13.7687 + 65.0686i) q^{38} +(-8.44411 - 12.6356i) q^{39} +(-9.30229 + 19.2059i) q^{40} +(-20.9136 - 7.61194i) q^{41} +(-21.3948 - 34.4979i) q^{42} +(-42.0191 - 7.40910i) q^{43} +(-67.6189 + 33.1329i) q^{44} +(-21.2934 + 11.0884i) q^{45} +(-18.6963 + 29.9813i) q^{46} +(35.0594 - 41.7822i) q^{47} +(38.8509 - 28.1887i) q^{48} +(0.560291 + 3.17757i) q^{49} +(-22.0472 - 28.1661i) q^{50} +(-4.81442 + 43.9880i) q^{51} +(19.4681 - 5.62087i) q^{52} +25.6875 q^{53} +(53.9961 + 0.646439i) q^{54} +50.2159i q^{55} +(52.4810 - 13.2378i) q^{56} +(-40.1859 - 91.3124i) q^{57} +(50.1449 + 64.0619i) q^{58} +(15.3255 - 2.70230i) q^{59} +(-5.48065 - 31.5374i) q^{60} +(-48.6391 - 40.8131i) q^{61} +(7.29569 - 11.6993i) q^{62} +(56.2586 + 23.2941i) q^{63} +(20.1102 + 60.7584i) q^{64} +(2.34652 - 13.3078i) q^{65} +(53.3639 - 99.5492i) q^{66} +(11.8552 - 32.5718i) q^{67} +(-53.9437 - 23.8994i) q^{68} +(-3.46997 - 52.8860i) q^{69} +(7.47225 - 35.3127i) q^{70} +(23.7276 - 13.6991i) q^{71} +(-22.6495 + 68.3447i) q^{72} +(18.2594 - 31.6262i) q^{73} +(-12.4379 + 13.8391i) q^{74} +(51.5108 + 15.0102i) q^{75} +(132.264 - 14.1458i) q^{76} +(97.5656 - 81.8672i) q^{77} +(-18.7938 + 23.8881i) q^{78} +(-43.9448 - 120.737i) q^{79} +(42.2861 + 5.78553i) q^{80} +(-66.3386 + 46.4779i) q^{81} +(-1.51282 + 44.4859i) q^{82} +(-0.482480 - 1.32560i) q^{83} +(-52.3396 + 62.0640i) q^{84} +(-30.1410 + 25.2913i) q^{85} +(11.9534 + 84.4932i) q^{86} +(-117.158 - 34.1397i) q^{87} +(104.912 + 108.046i) q^{88} +(-34.1806 + 59.2025i) q^{89} +(34.2821 + 33.6182i) q^{90} +(-29.6815 + 17.1366i) q^{91} +(68.5982 + 16.9705i) q^{92} +(1.35405 + 20.6372i) q^{93} +(-101.180 - 40.7718i) q^{94} +(30.3396 - 83.3573i) q^{95} +(-77.6809 - 56.4064i) q^{96} +(-19.7333 + 111.913i) q^{97} +(5.69505 - 3.03478i) q^{98} +(22.1375 + 167.973i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.619770 1.90155i −0.309885 0.950774i
\(3\) 2.41946 + 1.77376i 0.806485 + 0.591254i
\(4\) −3.23177 + 2.35705i −0.807942 + 0.589262i
\(5\) 0.463207 + 2.62698i 0.0926415 + 0.525396i 0.995445 + 0.0953418i \(0.0303944\pi\)
−0.902803 + 0.430054i \(0.858494\pi\)
\(6\) 1.87339 5.70004i 0.312232 0.950006i
\(7\) 4.34885 5.18275i 0.621264 0.740393i −0.360023 0.932943i \(-0.617231\pi\)
0.981287 + 0.192550i \(0.0616757\pi\)
\(8\) 6.48499 + 4.68454i 0.810624 + 0.585567i
\(9\) 2.70753 + 8.58308i 0.300837 + 0.953676i
\(10\) 4.70825 2.50894i 0.470825 0.250894i
\(11\) 18.5390 + 3.26893i 1.68537 + 0.297176i 0.932547 0.361049i \(-0.117581\pi\)
0.752821 + 0.658225i \(0.228693\pi\)
\(12\) −12.0000 0.0296259i −0.999997 0.00246882i
\(13\) −4.76031 1.73261i −0.366177 0.133278i 0.152377 0.988322i \(-0.451307\pi\)
−0.518554 + 0.855045i \(0.673530\pi\)
\(14\) −12.5505 5.05742i −0.896467 0.361245i
\(15\) −3.53893 + 7.17748i −0.235929 + 0.478499i
\(16\) 4.88867 15.2349i 0.305542 0.952179i
\(17\) 7.37511 + 12.7741i 0.433830 + 0.751416i 0.997199 0.0747894i \(-0.0238284\pi\)
−0.563369 + 0.826205i \(0.690495\pi\)
\(18\) 14.6431 10.4680i 0.813505 0.581557i
\(19\) −28.7994 16.6273i −1.51576 0.875123i −0.999829 0.0184912i \(-0.994114\pi\)
−0.515928 0.856632i \(1.32745\pi\)
\(20\) −7.68889 7.39799i −0.384445 0.369900i
\(21\) 19.7148 4.82562i 0.938801 0.229791i
\(22\) −5.27392 37.2789i −0.239723 1.69449i
\(23\) −11.3558 13.5334i −0.493732 0.588407i 0.460430 0.887696i \(-0.347695\pi\)
−0.954163 + 0.299289i \(0.903251\pi\)
\(24\) 7.38089 + 22.8369i 0.307537 + 0.951536i
\(25\) 16.8059 6.11683i 0.672234 0.244673i
\(26\) −0.344344 + 10.1258i −0.0132440 + 0.389453i
\(27\) −8.67361 + 25.5689i −0.321245 + 0.946996i
\(28\) −1.83848 + 26.9999i −0.0656600 + 0.964282i
\(29\) −38.2238 + 13.9123i −1.31806 + 0.479735i −0.902836 0.429984i \(-0.858519\pi\)
−0.415224 + 0.909719i \(0.636297\pi\)
\(30\) 15.8416 + 2.28106i 0.528055 + 0.0760352i
\(31\) 4.43128 + 5.28100i 0.142945 + 0.170355i 0.832767 0.553624i \(-0.186756\pi\)
−0.689822 + 0.723979i \(0.742311\pi\)
\(32\) −31.9997 + 0.146076i −0.999990 + 0.00456489i
\(33\) 39.0561 + 40.7929i 1.18352 + 1.23615i
\(34\) 19.7196 21.9411i 0.579989 0.645327i
\(35\) 15.6294 + 9.02364i 0.446555 + 0.257818i
\(36\) −28.9808 21.3568i −0.805023 0.593244i
\(37\) −4.65176 8.05708i −0.125723 0.217759i 0.796292 0.604912i \(-0.206792\pi\)
−0.922015 + 0.387153i \(0.873458\pi\)
\(38\) −13.7687 + 65.0686i −0.362333 + 1.71233i
\(39\) −8.44411 12.6356i −0.216516 0.323991i
\(40\) −9.30229 + 19.2059i −0.232557 + 0.480146i
\(41\) −20.9136 7.61194i −0.510089 0.185657i 0.0741374 0.997248i \(-0.476380\pi\)
−0.584226 + 0.811591i \(0.698602\pi\)
\(42\) −21.3948 34.4979i −0.509400 0.821379i
\(43\) −42.0191 7.40910i −0.977188 0.172305i −0.337824 0.941209i \(-0.609691\pi\)
−0.639363 + 0.768905i \(0.720802\pi\)
\(44\) −67.6189 + 33.1329i −1.53679 + 0.753021i
\(45\) −21.2934 + 11.0884i −0.473187 + 0.246408i
\(46\) −18.6963 + 29.9813i −0.406442 + 0.651767i
\(47\) 35.0594 41.7822i 0.745945 0.888982i −0.250928 0.968006i \(-0.580736\pi\)
0.996873 + 0.0790235i \(0.0251802\pi\)
\(48\) 38.8509 28.1887i 0.809395 0.587265i
\(49\) 0.560291 + 3.17757i 0.0114345 + 0.0648483i
\(50\) −22.0472 28.1661i −0.440944 0.563322i
\(51\) −4.81442 + 43.9880i −0.0944004 + 0.862510i
\(52\) 19.4681 5.62087i 0.374386 0.108094i
\(53\) 25.6875 0.484670 0.242335 0.970193i \(-0.422087\pi\)
0.242335 + 0.970193i \(0.422087\pi\)
\(54\) 53.9961 + 0.646439i 0.999928 + 0.0119711i
\(55\) 50.2159i 0.913016i
\(56\) 52.4810 13.2378i 0.937161 0.236389i
\(57\) −40.1859 91.3124i −0.705016 1.60197i
\(58\) 50.1449 + 64.0619i 0.864567 + 1.10452i
\(59\) 15.3255 2.70230i 0.259755 0.0458018i −0.0422541 0.999107i \(-0.513454\pi\)
0.302009 + 0.953305i \(0.402343\pi\)
\(60\) −5.48065 31.5374i −0.0913441 0.525623i
\(61\) −48.6391 40.8131i −0.797363 0.669067i 0.150193 0.988657i \(-0.452010\pi\)
−0.947556 + 0.319590i \(0.896455\pi\)
\(62\) 7.29569 11.6993i 0.117672 0.188698i
\(63\) 56.2586 + 23.2941i 0.892994 + 0.369747i
\(64\) 20.1102 + 60.7584i 0.314222 + 0.949349i
\(65\) 2.34652 13.3078i 0.0361003 0.204735i
\(66\) 53.3639 99.5492i 0.808544 1.50832i
\(67\) 11.8552 32.5718i 0.176943 0.486147i −0.819239 0.573453i \(-0.805604\pi\)
0.996182 + 0.0873060i \(0.0278258\pi\)
\(68\) −53.9437 23.8994i −0.793290 0.351461i
\(69\) −3.46997 52.8860i −0.0502894 0.766463i
\(70\) 7.47225 35.3127i 0.106746 0.504467i
\(71\) 23.7276 13.6991i 0.334192 0.192946i −0.323509 0.946225i \(-0.604863\pi\)
0.657701 + 0.753279i \(0.271529\pi\)
\(72\) −22.6495 + 68.3447i −0.314576 + 0.949232i
\(73\) 18.2594 31.6262i 0.250129 0.433235i −0.713432 0.700724i \(-0.752860\pi\)
0.963561 + 0.267489i \(0.0861938\pi\)
\(74\) −12.4379 + 13.8391i −0.168080 + 0.187015i
\(75\) 51.5108 + 15.0102i 0.686811 + 0.200136i
\(76\) 132.264 14.1458i 1.74032 0.186129i
\(77\) 97.5656 81.8672i 1.26709 1.06321i
\(78\) −18.7938 + 23.8881i −0.240947 + 0.306257i
\(79\) −43.9448 120.737i −0.556263 1.52832i −0.825015 0.565111i \(-0.808833\pi\)
0.268752 0.963209i \(1.58661\pi\)
\(80\) 42.2861 + 5.78553i 0.528577 + 0.0723192i
\(81\) −66.3386 + 46.4779i −0.818995 + 0.573801i
\(82\) −1.51282 + 44.4859i −0.0184490 + 0.542511i
\(83\) −0.482480 1.32560i −0.00581301 0.0159711i 0.936752 0.349993i \(-0.113816\pi\)
−0.942565 + 0.334022i \(0.891594\pi\)
\(84\) −52.3396 + 62.0640i −0.623090 + 0.738857i
\(85\) −30.1410 + 25.2913i −0.354600 + 0.297545i
\(86\) 11.9534 + 84.4932i 0.138993 + 0.982479i
\(87\) −117.158 34.1397i −1.34664 0.392410i
\(88\) 104.912 + 108.046i 1.19218 + 1.22779i
\(89\) −34.1806 + 59.2025i −0.384052 + 0.665197i −0.991637 0.129057i \(-0.958805\pi\)
0.607585 + 0.794254i \(0.292138\pi\)
\(90\) 34.2821 + 33.6182i 0.380912 + 0.373536i
\(91\) −29.6815 + 17.1366i −0.326171 + 0.188315i
\(92\) 68.5982 + 16.9705i 0.745633 + 0.184462i
\(93\) 1.35405 + 20.6372i 0.0145597 + 0.221905i
\(94\) −101.180 40.7718i −1.07638 0.433742i
\(95\) 30.3396 83.3573i 0.319364 0.877446i
\(96\) −77.6809 56.4064i −0.809176 0.587567i
\(97\) −19.7333 + 111.913i −0.203436 + 1.15375i 0.696445 + 0.717610i \(0.254764\pi\)
−0.899881 + 0.436135i \(0.856347\pi\)
\(98\) 5.69505 3.03478i 0.0581127 0.0309672i
\(99\) 22.1375 + 167.973i 0.223611 + 1.69670i
\(100\) −39.8950 + 59.3804i −0.398950 + 0.593804i
\(101\) −129.982 109.068i −1.28695 1.07988i −0.992245 0.124296i \(-0.960333\pi\)
−0.294710 0.955587i \(-0.595223\pi\)
\(102\) 86.6291 18.1076i 0.849305 0.177526i
\(103\) −13.3003 + 2.34520i −0.129129 + 0.0227689i −0.237839 0.971305i \(-0.576439\pi\)
0.108710 + 0.994073i \(0.465328\pi\)
\(104\) −22.7541 33.5358i −0.218789 0.322460i
\(105\) 21.8089 + 49.5552i 0.207703 + 0.471954i
\(106\) −15.9204 48.8461i −0.150192 0.460812i
\(107\) 161.176i 1.50632i 0.657838 + 0.753159i \(0.271471\pi\)
−0.657838 + 0.753159i \(0.728529\pi\)
\(108\) −32.2360 103.077i −0.298481 0.954416i
\(109\) 67.0064 0.614738 0.307369 0.951590i \(-0.400551\pi\)
0.307369 + 0.951590i \(0.400551\pi\)
\(110\) 95.4879 31.1223i 0.868072 0.282930i
\(111\) 3.03663 27.7449i 0.0273571 0.249954i
\(112\) −57.6985 91.5908i −0.515165 0.817775i
\(113\) −2.48868 14.1140i −0.0220237 0.124903i 0.971814 0.235750i \(-0.0757547\pi\)
−0.993837 + 0.110847i \(0.964644\pi\)
\(114\) −148.729 + 133.008i −1.30464 + 1.16674i
\(115\) 30.2918 36.1003i 0.263407 0.313916i
\(116\) 90.7384 135.057i 0.782228 1.16428i
\(117\) 1.98247 45.5492i 0.0169441 0.389309i
\(118\) −14.6369 27.4674i −0.124041 0.232775i
\(119\) 98.2781 + 17.3291i 0.825866 + 0.145623i
\(120\) −56.5731 + 29.9676i −0.471443 + 0.249730i
\(121\) 219.307 + 79.8214i 1.81246 + 0.659681i
\(122\) −47.4629 + 117.784i −0.389041 + 0.965446i
\(123\) −37.0978 55.5126i −0.301608 0.451322i
\(124\) −26.7684 6.62223i −0.215875 0.0534051i
\(125\) 57.1972 + 99.0685i 0.457578 + 0.792548i
\(126\) 9.42733 121.415i 0.0748201 0.963615i
\(127\) −123.798 71.4751i −0.974791 0.562796i −0.0740975 0.997251i \(-0.523608\pi\)
−0.900693 + 0.434455i \(0.856941\pi\)
\(128\) 103.071 75.8968i 0.805244 0.592944i
\(129\) −88.5213 92.4579i −0.686211 0.716728i
\(130\) −26.7597 + 3.78575i −0.205844 + 0.0291211i
\(131\) −50.1592 59.7775i −0.382895 0.456316i 0.539831 0.841774i \(-0.318488\pi\)
−0.922726 + 0.385457i \(0.874044\pi\)
\(132\) −222.371 39.7763i −1.68463 0.301336i
\(133\) −211.420 + 76.9504i −1.58962 + 0.578575i
\(134\) −69.2844 2.35613i −0.517048 0.0175831i
\(135\) −71.1867 10.9417i −0.527309 0.0810496i
\(136\) −12.0131 + 117.389i −0.0883314 + 0.863152i
\(137\) 206.641 75.2110i 1.50833 0.548985i 0.550125 0.835083i \(-0.314580\pi\)
0.958201 + 0.286097i \(0.0923580\pi\)
\(138\) −98.4146 + 39.3755i −0.713149 + 0.285329i
\(139\) 127.475 + 151.919i 0.917089 + 1.09294i 0.995380 + 0.0960135i \(0.0306092\pi\)
−0.0782911 + 0.996931i \(0.524946\pi\)
\(140\) −71.7798 + 7.67690i −0.512713 + 0.0548350i
\(141\) 158.936 38.9030i 1.12721 0.275908i
\(142\) −40.7553 36.6289i −0.287009 0.257950i
\(143\) −82.5878 47.6821i −0.577537 0.333441i
\(144\) 143.998 + 0.711019i 0.999988 + 0.00493763i
\(145\) −54.2529 93.9688i −0.374158 0.648060i
\(146\) −71.4553 15.1201i −0.489420 0.103563i
\(147\) −4.28065 + 8.68181i −0.0291201 + 0.0590599i
\(148\) 34.0243 + 15.0742i 0.229894 + 0.101853i
\(149\) 207.161 + 75.4005i 1.39034 + 0.506044i 0.925297 0.379243i \(-0.123816\pi\)
0.465046 + 0.885286i \(0.346038\pi\)
\(150\) −3.38225 107.253i −0.0225484 0.715021i
\(151\) 103.590 + 18.2656i 0.686023 + 0.120964i 0.505786 0.862659i \(-0.331202\pi\)
0.180237 + 0.983623i \(0.442314\pi\)
\(152\) −108.872 242.740i −0.716266 1.59697i
\(153\) −89.6726 + 97.8874i −0.586095 + 0.639787i
\(154\) −216.143 134.787i −1.40352 0.875238i
\(155\) −11.8205 + 14.0871i −0.0762611 + 0.0908845i
\(156\) 57.0722 + 20.9323i 0.365847 + 0.134181i
\(157\) 46.2911 + 262.530i 0.294848 + 1.67216i 0.667820 + 0.744322i \(0.267227\pi\)
−0.372973 + 0.927842i \(0.621662\pi\)
\(158\) −202.352 + 158.392i −1.28071 + 1.00248i
\(159\) 62.1498 + 45.5636i 0.390879 + 0.286563i
\(160\) −15.2062 83.9948i −0.0950389 0.524968i
\(161\) −119.525 −0.742391
\(162\) 129.495 + 97.3404i 0.799349 + 0.600867i
\(163\) 179.334i 1.10021i 0.835096 + 0.550104i \(0.185412\pi\)
−0.835096 + 0.550104i \(0.814588\pi\)
\(164\) 85.5298 24.6944i 0.521523 0.150575i
\(165\) −89.0711 + 121.495i −0.539825 + 0.736334i
\(166\) −2.22167 + 1.73903i −0.0133835 + 0.0104761i
\(167\) −190.029 + 33.5073i −1.13790 + 0.200642i −0.710687 0.703508i \(-0.751616\pi\)
−0.427213 + 0.904151i \(0.640505\pi\)
\(168\) 150.456 + 61.0607i 0.895573 + 0.363457i
\(169\) −109.803 92.1356i −0.649721 0.545181i
\(170\) 66.7732 + 41.6398i 0.392783 + 0.244940i
\(171\) 64.7386 292.207i 0.378588 1.70881i
\(172\) 153.260 75.0964i 0.891044 0.436607i
\(173\) −43.0667 + 244.244i −0.248941 + 1.41181i 0.562219 + 0.826988i \(0.309948\pi\)
−0.811160 + 0.584825i \(0.801163\pi\)
\(174\) 7.69270 + 243.940i 0.0442109 + 1.40195i
\(175\) 41.3841 113.702i 0.236480 0.649724i
\(176\) 140.433 266.459i 0.797915 1.51397i
\(177\) 41.8727 + 20.6457i 0.236569 + 0.116643i
\(178\) 133.761 + 28.3041i 0.751464 + 0.159012i
\(179\) −24.5003 + 14.1453i −0.136873 + 0.0790238i −0.566873 0.823805i \(-0.691847\pi\)
0.430000 + 0.902829i \(0.358514\pi\)
\(180\) 42.6797 86.0247i 0.237109 0.477915i
\(181\) 134.243 232.516i 0.741676 1.28462i −0.210056 0.977689i \(-0.567365\pi\)
0.951732 0.306931i \(-0.0993019\pi\)
\(182\) 50.9819 + 45.8201i 0.280120 + 0.251759i
\(183\) −45.2875 185.020i −0.247473 1.01104i
\(184\) −10.2450 140.961i −0.0556792 0.766091i
\(185\) 19.0111 15.9522i 0.102762 0.0862280i
\(186\) 38.4034 15.3651i 0.206470 0.0826081i
\(187\) 94.9700 + 260.928i 0.507861 + 1.39534i
\(188\) −14.8214 + 217.667i −0.0788373 + 1.15780i
\(189\) 94.7971 + 156.148i 0.501572 + 0.826182i
\(190\) −177.312 6.02978i −0.933219 0.0317357i
\(191\) −10.7627 29.5704i −0.0563494 0.154819i 0.908324 0.418267i \(-0.137362\pi\)
−0.964674 + 0.263448i \(0.915140\pi\)
\(192\) −59.1152 + 182.673i −0.307892 + 0.951421i
\(193\) 178.497 149.777i 0.924855 0.776045i −0.0500319 0.998748i \(-0.515932\pi\)
0.974886 + 0.222703i \(0.0714879\pi\)
\(194\) 225.039 31.8367i 1.15999 0.164107i
\(195\) 29.2822 28.0354i 0.150165 0.143771i
\(196\) −9.30040 8.94853i −0.0474510 0.0456558i
\(197\) −126.054 + 218.332i −0.639867 + 1.10828i 0.345595 + 0.938384i \(0.387677\pi\)
−0.985462 + 0.169898i \(0.945656\pi\)
\(198\) 305.688 146.200i 1.54388 0.738384i
\(199\) 258.347 149.157i 1.29823 0.749531i 0.318128 0.948048i \(-0.396946\pi\)
0.980098 + 0.198517i \(0.0636124\pi\)
\(200\) 137.640 + 39.0601i 0.688202 + 0.195300i
\(201\) 86.4578 57.7778i 0.430138 0.287452i
\(202\) −126.839 + 314.765i −0.627917 + 1.55824i
\(203\) −94.1252 + 258.607i −0.463671 + 1.27393i
\(204\) −88.1226 153.507i −0.431974 0.752485i
\(205\) 10.3091 58.4656i 0.0502881 0.285198i
\(206\) 12.7026 + 23.8377i 0.0616633 + 0.115717i
\(207\) 85.4117 134.110i 0.412617 0.647875i
\(208\) −49.6676 + 64.0524i −0.238787 + 0.307944i
\(209\) −479.560 402.398i −2.29454 1.92535i
\(210\) 80.7151 72.1834i 0.384357 0.343730i
\(211\) −79.4973 + 14.0175i −0.376764 + 0.0664337i −0.358824 0.933405i \(-0.616822\pi\)
−0.0179406 + 0.999839i \(0.505711\pi\)
\(212\) −83.0162 + 60.5467i −0.391586 + 0.285598i
\(213\) 81.7070 + 8.94270i 0.383601 + 0.0419845i
\(214\) 306.484 99.8921i 1.43217 0.466786i
\(215\) 113.815i 0.529373i
\(216\) −176.027 + 125.182i −0.814939 + 0.579547i
\(217\) 46.6411 0.214936
\(218\) −41.5286 127.416i −0.190498 0.584477i
\(219\) 100.275 44.1303i 0.457877 0.201508i
\(220\) −118.361 162.286i −0.538005 0.737664i
\(221\) −12.9753 73.5867i −0.0587119 0.332971i
\(222\) −54.6402 + 11.4211i −0.246127 + 0.0514466i
\(223\) −86.4593 + 103.038i −0.387710 + 0.462055i −0.924232 0.381832i \(-0.875293\pi\)
0.536522 + 0.843886i \(0.319738\pi\)
\(224\) −138.405 + 166.482i −0.617878 + 0.743222i
\(225\) 98.0036 + 127.685i 0.435571 + 0.567487i
\(226\) −25.2961 + 13.4798i −0.111929 + 0.0596451i
\(227\) −301.128 53.0971i −1.32656 0.233908i −0.534922 0.844902i \(-0.679659\pi\)
−0.791635 + 0.610994i \(0.790770\pi\)
\(228\) 345.099 + 200.381i 1.51359 + 0.878862i
\(229\) −208.128 75.7525i −0.908858 0.330797i −0.155061 0.987905i \(-0.549557\pi\)
−0.753797 + 0.657108i \(0.771780\pi\)
\(230\) −87.4205 35.2274i −0.380089 0.153162i
\(231\) 381.269 25.0159i 1.65051 0.108294i
\(232\) −313.054 88.8394i −1.34937 0.382929i
\(233\) 42.1249 + 72.9625i 0.180794 + 0.313144i 0.942151 0.335189i \(-0.108800\pi\)
−0.761357 + 0.648332i \(0.775467\pi\)
\(234\) −87.8427 + 24.4603i −0.375396 + 0.104531i
\(235\) 126.001 + 72.7465i 0.536173 + 0.309560i
\(236\) −43.1591 + 44.8562i −0.182878 + 0.190069i
\(237\) 107.837 370.066i 0.455008 1.56146i
\(238\) −27.9578 197.621i −0.117470 0.830339i
\(239\) 80.0260 + 95.3713i 0.334837 + 0.399043i 0.907023 0.421081i \(-0.138349\pi\)
−0.572186 + 0.820124i \(0.693905\pi\)
\(240\) 92.0473 + 89.0034i 0.383530 + 0.370848i
\(241\) −142.642 + 51.9174i −0.591876 + 0.215425i −0.620554 0.784164i \(-0.713092\pi\)
0.0286786 + 0.999589i \(0.490870\pi\)
\(242\) 15.8639 466.495i 0.0655535 1.92766i
\(243\) −242.944 5.21777i −0.999769 0.0214723i
\(244\) 253.389 + 17.2538i 1.03848 + 0.0707123i
\(245\) −8.08788 + 2.94375i −0.0330117 + 0.0120153i
\(246\) −82.5677 + 104.948i −0.335641 + 0.426619i
\(247\) 108.285 + 129.049i 0.438402 + 0.522467i
\(248\) 3.99780 + 55.0057i 0.0161202 + 0.221797i
\(249\) 1.18397 4.06304i 0.00475488 0.0163174i
\(250\) 152.934 170.163i 0.611737 0.680652i
\(251\) 18.3430 + 10.5903i 0.0730796 + 0.0421925i 0.536095 0.844158i \(-0.319899\pi\)
−0.463015 + 0.886350i \(0.653232\pi\)
\(252\) −236.720 + 57.3232i −0.939365 + 0.227473i
\(253\) −166.287 288.017i −0.657260 1.13841i
\(254\) −59.1867 + 279.707i −0.233018 + 1.10121i
\(255\) −117.786 + 7.72819i −0.461905 + 0.0303066i
\(256\) −208.202 148.956i −0.813288 0.581861i
\(257\) 36.6814 + 13.3509i 0.142729 + 0.0519491i 0.412397 0.911004i \(-0.364692\pi\)
−0.269668 + 0.962953i \(0.586914\pi\)
\(258\) −120.950 + 225.630i −0.468799 + 0.874535i
\(259\) −61.9877 10.9301i −0.239335 0.0422011i
\(260\) 23.7837 + 48.5386i 0.0914756 + 0.186687i
\(261\) −222.902 290.410i −0.854032 1.11268i
\(262\) −82.5825 + 132.428i −0.315200 + 0.505452i
\(263\) −247.344 + 294.773i −0.940472 + 1.12081i 0.0520376 + 0.998645i \(0.483428\pi\)
−0.992510 + 0.122166i \(0.961016\pi\)
\(264\) 62.1824 + 447.501i 0.235539 + 1.69508i
\(265\) 11.8987 + 67.4806i 0.0449006 + 0.254644i
\(266\) 277.356 + 354.333i 1.04269 + 1.33208i
\(267\) −187.710 + 82.6096i −0.703033 + 0.309399i
\(268\) 38.4601 + 133.208i 0.143508 + 0.497044i
\(269\) 128.494 0.477672 0.238836 0.971060i \(-0.423234\pi\)
0.238836 + 0.971060i \(0.423234\pi\)
\(270\) 23.3132 + 142.146i 0.0863453 + 0.526467i
\(271\) 173.624i 0.640678i −0.947303 0.320339i \(-0.896203\pi\)
0.947303 0.320339i \(-0.103797\pi\)
\(272\) 230.666 49.9106i 0.848035 0.183495i
\(273\) −102.210 11.1867i −0.374394 0.0409768i
\(274\) −271.087 346.323i −0.989369 1.26395i
\(275\) 331.560 58.4630i 1.20567 0.212593i
\(276\) 135.869 + 162.736i 0.492278 + 0.589624i
\(277\) 123.403 + 103.547i 0.445498 + 0.373818i 0.837762 0.546035i \(-0.183864\pi\)
−0.392264 + 0.919853i \(0.628308\pi\)
\(278\) 209.876 336.556i 0.754950 1.21063i
\(279\) −33.3294 + 52.3325i −0.119460 + 0.187572i
\(280\) 59.0850 + 131.735i 0.211018 + 0.470481i
\(281\) −14.1148 + 80.0493i −0.0502308 + 0.284873i −0.999568 0.0293859i \(-0.990645\pi\)
0.949337 + 0.314259i \(0.101756\pi\)
\(282\) −172.480 278.114i −0.611631 0.986220i
\(283\) 109.608 301.145i 0.387306 1.06412i −0.580903 0.813973i \(-0.697300\pi\)
0.968209 0.250142i \(-0.0804774\pi\)
\(284\) −44.3927 + 100.200i −0.156312 + 0.352815i
\(285\) 221.261 147.864i 0.776356 0.518821i
\(286\) −39.4843 + 186.597i −0.138057 + 0.652435i
\(287\) −130.401 + 75.2871i −0.454359 + 0.262324i
\(288\) −87.8938 274.260i −0.305187 0.952293i
\(289\) 35.7154 61.8609i 0.123583 0.214052i
\(290\) −145.062 + 161.404i −0.500213 + 0.556564i
\(291\) −246.252 + 235.767i −0.846226 + 0.810196i
\(292\) 15.5342 + 145.247i 0.0531995 + 0.497420i
\(293\) −38.6454 + 32.4274i −0.131896 + 0.110674i −0.706349 0.707864i \(-0.749659\pi\)
0.574453 + 0.818537i \(0.305215\pi\)
\(294\) 19.1619 + 2.75914i 0.0651765 + 0.00938484i
\(295\) 14.1978 + 39.0081i 0.0481281 + 0.132231i
\(296\) 7.57709 74.0414i 0.0255983 0.250140i
\(297\) −244.383 + 445.669i −0.822840 + 1.50057i
\(298\) 14.9853 440.658i 0.0502863 1.47872i
\(299\) 30.6093 + 84.0982i 0.102372 + 0.281265i
\(300\) −201.851 + 72.9039i −0.672836 + 0.243013i
\(301\) −221.134 + 185.553i −0.734665 + 0.616457i
\(302\) −29.4687 208.301i −0.0975786 0.689738i
\(303\) −121.026 494.444i −0.399424 1.63183i
\(304\) −394.106 + 357.469i −1.29640 + 1.17589i
\(305\) 84.6851 146.679i 0.277656 0.480915i
\(306\) 241.714 + 109.849i 0.789915 + 0.358984i
\(307\) −109.109 + 62.9942i −0.355404 + 0.205193i −0.667063 0.745001i \(-0.732449\pi\)
0.311659 + 0.950194i \(0.399115\pi\)
\(308\) −122.345 + 494.542i −0.397223 + 1.60566i
\(309\) −36.3393 17.9175i −0.117603 0.0579853i
\(310\) 34.1133 + 13.7464i 0.110043 + 0.0443433i
\(311\) 78.4332 215.493i 0.252197 0.692905i −0.747396 0.664378i \(-0.768696\pi\)
0.999593 0.0285262i \(-0.00908142\pi\)
\(312\) 4.43210 121.499i 0.0142055 0.389419i
\(313\) 51.3526 291.235i 0.164066 0.930463i −0.785957 0.618281i \(-0.787829\pi\)
0.950023 0.312181i \(-0.101060\pi\)
\(314\) 470.523 250.733i 1.49848 0.798513i
\(315\) −35.1336 + 158.580i −0.111535 + 0.503429i
\(316\) 426.603 + 286.615i 1.35001 + 0.907010i
\(317\) 144.559 + 121.299i 0.456021 + 0.382647i 0.841665 0.540001i \(-0.181576\pi\)
−0.385643 + 0.922648i \(0.626020\pi\)
\(318\) 48.1227 146.420i 0.151329 0.460440i
\(319\) −754.110 + 132.970i −2.36398 + 0.416834i
\(320\) −150.296 + 80.9729i −0.469674 + 0.253040i
\(321\) −285.888 + 389.958i −0.890617 + 1.21482i
\(322\) 74.0780 + 227.282i 0.230056 + 0.705846i
\(323\) 490.514i 1.51862i
\(324\) 104.840 306.569i 0.323582 0.946200i
\(325\) −90.5991 −0.278766
\(326\) 341.012 111.146i 1.04605 0.340938i
\(327\) 162.119 + 118.853i 0.495777 + 0.363466i
\(328\) −99.9663 147.334i −0.304775 0.449189i
\(329\) −64.0787 363.408i −0.194768 1.10459i
\(330\) 286.232 + 94.0739i 0.867371 + 0.285072i
\(331\) 114.150 136.038i 0.344863 0.410992i −0.565536 0.824724i \(-0.691330\pi\)
0.910399 + 0.413732i \(0.135775\pi\)
\(332\) 4.68377 + 3.14681i 0.0141077 + 0.00947835i
\(333\) 56.5598 61.7412i 0.169849 0.185409i
\(334\) 181.490 + 340.583i 0.543384 + 1.01971i
\(335\) 91.0570 + 16.0558i 0.271812 + 0.0479278i
\(336\) 22.8616 323.943i 0.0680405 0.964117i
\(337\) 337.952 + 123.004i 1.00282 + 0.364998i 0.790673 0.612238i \(-0.209731\pi\)
0.212151 + 0.977237i \(0.431953\pi\)
\(338\) −107.148 + 265.898i −0.317005 + 0.786682i
\(339\) 19.0137 38.5626i 0.0560875 0.113754i
\(340\) 37.7960 152.779i 0.111165 0.449351i
\(341\) 64.8885 + 112.390i 0.190289 + 0.329590i
\(342\) −595.768 + 57.9974i −1.74201 + 0.169583i
\(343\) 306.005 + 176.672i 0.892144 + 0.515079i
\(344\) −237.785 244.888i −0.691236 0.711883i
\(345\) 137.323 33.6127i 0.398038 0.0974281i
\(346\) 491.132 69.4815i 1.41946 0.200814i
\(347\) 178.381 + 212.586i 0.514065 + 0.612639i 0.959167 0.282841i \(-0.0912770\pi\)
−0.445102 + 0.895480i \(0.646833\pi\)
\(348\) 459.096 165.815i 1.31924 0.476479i
\(349\) 49.7907 18.1223i 0.142667 0.0519265i −0.269700 0.962944i \(-0.586924\pi\)
0.412367 + 0.911018i \(0.364702\pi\)
\(350\) −241.858 8.22479i −0.691023 0.0234994i
\(351\) 85.5900 106.688i 0.243846 0.303954i
\(352\) −593.721 101.897i −1.68671 0.289479i
\(353\) −128.371 + 46.7231i −0.363657 + 0.132360i −0.517385 0.855753i \(-0.673094\pi\)
0.153728 + 0.988113i \(0.450872\pi\)
\(354\) 13.3074 92.4185i 0.0375916 0.261069i
\(355\) 46.9782 + 55.9864i 0.132333 + 0.157708i
\(356\) −29.0793 271.894i −0.0816834 0.763748i
\(357\) 207.042 + 216.249i 0.579949 + 0.605740i
\(358\) 42.0825 + 37.8217i 0.117549 + 0.105647i
\(359\) 166.650 + 96.2154i 0.464206 + 0.268009i 0.713811 0.700338i \(-0.246968\pi\)
−0.249605 + 0.968348i \(0.580301\pi\)
\(360\) −190.032 27.8419i −0.527866 0.0773387i
\(361\) 372.437 + 645.079i 1.03168 + 1.78692i
\(362\) −525.341 111.163i −1.45122 0.307081i
\(363\) 389.020 + 582.124i 1.07168 + 1.60365i
\(364\) 55.5320 125.342i 0.152561 0.344347i
\(365\) 91.5392 + 33.3176i 0.250792 + 0.0912810i
\(366\) −323.756 + 200.786i −0.884579 + 0.548596i
\(367\) 239.898 + 42.3005i 0.653673 + 0.115260i 0.490642 0.871361i \(-0.336762\pi\)
0.163030 + 0.986621i \(0.447873\pi\)
\(368\) −261.694 + 106.845i −0.711125 + 0.290338i
\(369\) 8.70964 200.113i 0.0236034 0.542312i
\(370\) −42.1163 26.2638i −0.113828 0.0709831i
\(371\) 111.711 133.132i 0.301108 0.358847i
\(372\) −53.0188 63.5031i −0.142524 0.170707i
\(373\) −68.4605 388.259i −0.183540 1.04091i −0.927817 0.373037i \(-0.878317\pi\)
0.744276 0.667872i \(-0.232795\pi\)
\(374\) 437.307 342.305i 1.16927 0.915255i
\(375\) −37.3379 + 341.146i −0.0995677 + 0.909723i
\(376\) 423.090 106.720i 1.12524 0.283829i
\(377\) 206.061 0.546582
\(378\) 238.171 277.037i 0.630083 0.732903i
\(379\) 353.110i 0.931690i −0.884866 0.465845i \(-0.845751\pi\)
0.884866 0.465845i \(-0.154249\pi\)
\(380\) 98.4265 + 340.903i 0.259017 + 0.897114i
\(381\) −172.745 392.520i −0.453399 1.03024i
\(382\) −49.5591 + 38.7927i −0.129736 + 0.101552i
\(383\) −45.9409 + 8.10062i −0.119950 + 0.0211504i −0.233301 0.972405i \(-0.574953\pi\)
0.113351 + 0.993555i \(0.463842\pi\)
\(384\) 383.999 0.804893i 0.999998 0.00209607i
\(385\) 260.257 + 218.381i 0.675991 + 0.567224i
\(386\) −395.435 246.593i −1.02444 0.638843i
\(387\) −50.1750 380.713i −0.129651 0.983756i
\(388\) −200.011 408.190i −0.515493 1.05204i
\(389\) −28.7035 + 162.786i −0.0737880 + 0.418472i 0.925430 + 0.378920i \(0.123704\pi\)
−0.999217 + 0.0395526i \(0.987407\pi\)
\(390\) −71.4589 38.3059i −0.183228 0.0982203i
\(391\) 89.1256 244.870i 0.227943 0.626267i
\(392\) −11.2520 + 23.2312i −0.0287040 + 0.0592633i
\(393\) −15.3270 233.599i −0.0390000 0.594401i
\(394\) 493.292 + 104.382i 1.25201 + 0.264929i
\(395\) 296.819 171.368i 0.751440 0.433844i
\(396\) −467.463 490.671i −1.18046 1.23907i
\(397\) −330.658 + 572.717i −0.832892 + 1.44261i 0.0628427 + 0.998023i \(0.479983\pi\)
−0.895735 + 0.444588i \(0.853350\pi\)
\(398\) −443.744 398.816i −1.11494 1.00205i
\(399\) −648.012 188.830i −1.62409 0.473258i
\(400\) −11.0308 285.938i −0.0275770 0.714845i
\(401\) 322.430 270.551i 0.804065 0.674690i −0.145119 0.989414i \(-0.546356\pi\)
0.949183 + 0.314724i \(0.101912\pi\)
\(402\) −163.451 128.595i −0.406595 0.319887i
\(403\) −11.9444 32.8169i −0.0296386 0.0814314i
\(404\) 677.152 + 46.1087i 1.67612 + 0.114131i
\(405\) −152.825 152.741i −0.377346 0.377139i
\(406\) 550.089 + 18.7067i 1.35490 + 0.0460757i
\(407\) −59.9011 164.577i −0.147177 0.404366i
\(408\) −237.285 + 262.708i −0.581581 + 0.643893i
\(409\) −298.130 + 250.161i −0.728925 + 0.611640i −0.929838 0.367969i \(-0.880053\pi\)
0.200914 + 0.979609i \(0.435609\pi\)
\(410\) −117.564 + 16.6321i −0.286742 + 0.0405660i
\(411\) 633.364 + 184.562i 1.54103 + 0.449055i
\(412\) 37.4557 38.9286i 0.0909120 0.0944868i
\(413\) 52.6430 91.1803i 0.127465 0.220776i
\(414\) −307.953 79.2970i −0.743847 0.191539i
\(415\) 3.25884 1.88149i 0.00785263 0.00453372i
\(416\) 152.581 + 54.7476i 0.366782 + 0.131605i
\(417\) 38.9522 + 593.673i 0.0934106 + 1.42368i
\(418\) −467.963 + 1161.30i −1.11953 + 2.77823i
\(419\) 1.34000 3.68161i 0.00319809 0.00878667i −0.938083 0.346410i \(-0.887401\pi\)
0.941281 + 0.337623i \(0.109623\pi\)
\(420\) −187.285 108.746i −0.445917 0.258920i
\(421\) −74.4542 + 422.251i −0.176851 + 1.00297i 0.759135 + 0.650933i \(0.225622\pi\)
−0.935986 + 0.352038i \(0.885489\pi\)
\(422\) 75.9250 + 142.480i 0.179917 + 0.337631i
\(423\) 453.544 + 187.791i 1.07221 + 0.443951i
\(424\) 166.583 + 120.334i 0.392885 + 0.283807i
\(425\) 202.082 + 169.567i 0.475487 + 0.398981i
\(426\) −33.6346 160.912i −0.0789544 0.377728i
\(427\) −423.048 + 74.5948i −0.990746 + 0.174695i
\(428\) −379.899 520.884i −0.887615 1.21702i
\(429\) −115.241 261.856i −0.268626 0.610386i
\(430\) −216.425 + 70.5393i −0.503314 + 0.164045i
\(431\) 112.825i 0.261775i 0.991397 + 0.130887i \(0.0417826\pi\)
−0.991397 + 0.130887i \(0.958217\pi\)
\(432\) 347.136 + 257.139i 0.803556 + 0.595229i
\(433\) 164.343 0.379546 0.189773 0.981828i \(-0.439225\pi\)
0.189773 + 0.981828i \(0.439225\pi\)
\(434\) −28.9068 88.6903i −0.0666055 0.204355i
\(435\) 35.4159 323.585i 0.0814158 0.743874i
\(436\) −216.549 + 157.937i −0.496673 + 0.362241i
\(437\) 102.018 + 578.570i 0.233450 + 1.32396i
\(438\) −146.063 163.327i −0.333478 0.372893i
\(439\) −424.795 + 506.251i −0.967642 + 1.15319i 0.0205222 + 0.999789i \(0.493467\pi\)
−0.988164 + 0.153401i \(0.950977\pi\)
\(440\) −235.238 + 325.650i −0.534632 + 0.740113i
\(441\) −25.7563 + 13.4124i −0.0584044 + 0.0304136i
\(442\) −131.887 + 70.2800i −0.298387 + 0.159005i
\(443\) −230.174 40.5858i −0.519580 0.0916159i −0.0922926 0.995732i \(-0.529420\pi\)
−0.427287 + 0.904116i \(0.640531\pi\)
\(444\) 55.5822 + 96.8225i 0.125185 + 0.218069i
\(445\) −171.357 62.3687i −0.385071 0.140154i
\(446\) 249.517 + 100.547i 0.559455 + 0.225441i
\(447\) 367.475 + 549.883i 0.822091 + 1.23016i
\(448\) 402.352 + 160.003i 0.898107 + 0.357149i
\(449\) −122.709 212.538i −0.273294 0.473360i 0.696409 0.717645i \(-0.254780\pi\)
−0.969703 + 0.244285i \(0.921447\pi\)
\(450\) 182.059 265.494i 0.404574 0.589986i
\(451\) −362.836 209.483i −0.804514 0.464487i
\(452\) 41.3102 + 39.7473i 0.0913943 + 0.0879365i
\(453\) 218.231 + 227.936i 0.481747 + 0.503170i
\(454\) 85.6639 + 605.518i 0.188687 + 1.33374i
\(455\) −58.7663 70.0350i −0.129157 0.153923i
\(456\) 167.151 780.412i 0.366560 1.71143i
\(457\) 429.197 156.215i 0.939162 0.341827i 0.173327 0.984864i \(-0.444548\pi\)
0.765835 + 0.643037i \(0.222326\pi\)
\(458\) −15.0553 + 442.715i −0.0328718 + 0.966627i
\(459\) −390.588 + 77.7762i −0.850954 + 0.169447i
\(460\) −12.8059 + 188.067i −0.0278389 + 0.408841i
\(461\) 613.064 223.137i 1.32986 0.484029i 0.423254 0.906011i \(-0.360888\pi\)
0.906604 + 0.421982i \(0.138666\pi\)
\(462\) −283.868 709.496i −0.614433 1.53571i
\(463\) 153.827 + 183.324i 0.332240 + 0.395948i 0.906140 0.422977i \(-0.139015\pi\)
−0.573901 + 0.818925i \(0.694570\pi\)
\(464\) 25.0888 + 650.346i 0.0540707 + 1.40161i
\(465\) −53.5863 + 13.1164i −0.115239 + 0.0282072i
\(466\) 112.634 125.323i 0.241704 0.268932i
\(467\) 81.5519 + 47.0840i 0.174629 + 0.100822i 0.584767 0.811201i \(-0.301186\pi\)
−0.410138 + 0.912024i \(0.634519\pi\)
\(468\) 100.955 + 151.877i 0.215715 + 0.324524i
\(469\) −117.255 203.092i −0.250012 0.433033i
\(470\) 60.2395 284.682i 0.128169 0.605707i
\(471\) −353.667 + 717.289i −0.750884 + 1.52291i
\(472\) 112.045 + 54.2686i 0.237383 + 0.114976i
\(473\) −754.774 274.715i −1.59572 0.580793i
\(474\) −770.533 + 24.2989i −1.62560 + 0.0512635i
\(475\) −585.705 103.276i −1.23306 0.217422i
\(476\) −358.458 + 175.642i −0.753062 + 0.368997i
\(477\) 69.5497 + 220.478i 0.145807 + 0.462218i
\(478\) 131.755 211.282i 0.275639 0.442012i
\(479\) 220.464 262.739i 0.460260 0.548516i −0.485137 0.874438i \(-0.661230\pi\)
0.945397 + 0.325922i \(0.105675\pi\)
\(480\) 112.196 230.194i 0.233742 0.479571i
\(481\) 8.18402 + 46.4139i 0.0170146 + 0.0964945i
\(482\) 187.129 + 239.064i 0.388234 + 0.495983i
\(483\) −289.185 212.009i −0.598727 0.438942i
\(484\) −896.894 + 258.953i −1.85309 + 0.535028i
\(485\) −303.135 −0.625020
\(486\) 140.648 + 465.203i 0.289398 + 0.957209i
\(487\) 446.412i 0.916656i −0.888783 0.458328i \(-0.848448\pi\)
0.888783 0.458328i \(-0.151552\pi\)
\(488\) −124.234 492.524i −0.254578 1.00927i
\(489\) −318.096 + 433.890i −0.650503 + 0.887301i
\(490\) 10.6103 + 13.5550i 0.0216537 + 0.0276633i
\(491\) −5.90542 + 1.04128i −0.0120273 + 0.00212074i −0.179659 0.983729i \(-0.557499\pi\)
0.167631 + 0.985850i \(0.446388\pi\)
\(492\) 250.737 + 91.9626i 0.509629 + 0.186916i
\(493\) −459.621 385.668i −0.932295 0.782288i
\(494\) 178.282 285.891i 0.360894 0.578726i
\(495\) −431.007 + 135.961i −0.870721 + 0.274669i
\(496\) 102.118 41.6929i 0.205884 0.0840583i
\(497\) 32.1885 182.550i 0.0647655 0.367304i
\(498\) −8.45985 + 0.266783i −0.0169877 + 0.000535709i
\(499\) 274.772 754.929i 0.550645 1.51288i −0.282188 0.959359i \(-0.591060\pi\)
0.832833 0.553525i \(-0.186718\pi\)
\(500\) −418.357 185.350i −0.836714 0.370700i
\(501\) −519.201 255.998i −1.03633 0.510973i
\(502\) 8.76958 41.4436i 0.0174693 0.0825570i
\(503\) 127.666 73.7082i 0.253810 0.146537i −0.367698 0.929945i \(-0.619854\pi\)
0.621508 + 0.783408i \(0.286521\pi\)
\(504\) 255.715 + 414.607i 0.507371 + 0.822634i
\(505\) 226.311 391.982i 0.448141 0.776203i
\(506\) −444.619 + 494.707i −0.878694 + 0.977682i
\(507\) −102.237 417.682i −0.201650 0.823831i
\(508\) 568.558 60.8077i 1.11921 0.119700i
\(509\) −519.941 + 436.282i −1.02149 + 0.857136i −0.989815 0.142362i \(-0.954530\pi\)
−0.0316799 + 0.999498i \(0.510086\pi\)
\(510\) 87.6956 + 219.185i 0.171952 + 0.429775i
\(511\) −84.5035 232.171i −0.165369 0.454347i
\(512\) −154.210 + 488.225i −0.301192 + 0.953564i
\(513\) 674.937 592.150i 1.31567 1.15429i
\(514\) 2.65340 78.0259i 0.00516226 0.151801i
\(515\) −12.3216 33.8533i −0.0239254 0.0657345i
\(516\) 504.008 + 90.1537i 0.976759 + 0.174717i
\(517\) 786.551 659.995i 1.52138 1.27659i
\(518\) 17.6340 + 124.647i 0.0340425 + 0.240631i
\(519\) −537.428 + 514.546i −1.03551 + 0.991419i
\(520\) 77.5580 75.3085i 0.149150 0.144824i
\(521\) 107.426 186.067i 0.206192 0.357135i −0.744320 0.667823i \(-0.767226\pi\)
0.950512 + 0.310688i \(0.100559\pi\)
\(522\) −414.080 + 603.847i −0.793256 + 1.15680i
\(523\) −535.275 + 309.041i −1.02347 + 0.590901i −0.915107 0.403210i \(-0.867894\pi\)
−0.108363 + 0.994111i \(0.534561\pi\)
\(524\) 303.001 + 74.9593i 0.578247 + 0.143052i
\(525\) 301.807 201.691i 0.574870 0.384173i
\(526\) 713.822 + 287.645i 1.35708 + 0.546854i
\(527\) −34.7786 + 95.5535i −0.0659936 + 0.181316i
\(528\) 812.406 395.591i 1.53865 0.749225i
\(529\) 37.6630 213.598i 0.0711966 0.403776i
\(530\) 120.943 64.4483i 0.228195 0.121601i
\(531\) 64.6884 + 124.224i 0.121824 + 0.233943i
\(532\) 501.884 747.012i 0.943390 1.40416i
\(533\) 86.3668 + 72.4704i 0.162039 + 0.135967i
\(534\) 273.423 + 305.740i 0.512028 + 0.572547i
\(535\) −423.406 + 74.6579i −0.791414 + 0.139548i
\(536\) 229.465 155.692i 0.428106 0.290470i
\(537\) −84.3678 9.23392i −0.157109 0.0171954i
\(538\) −79.6366 244.337i −0.148024 0.454158i
\(539\) 60.7406i 0.112691i
\(540\) 255.849 132.429i 0.473794 0.245239i
\(541\) −647.938 −1.19767 −0.598834 0.800873i \(-0.704369\pi\)
−0.598834 + 0.800873i \(0.704369\pi\)
\(542\) −330.154 + 107.607i −0.609140 + 0.198536i
\(543\) 737.224 324.447i 1.35769 0.597508i
\(544\) −237.867 407.689i −0.437256 0.749428i
\(545\) 31.0379 + 176.024i 0.0569502 + 0.322981i
\(546\) 42.0744 + 201.289i 0.0770594 + 0.368662i
\(547\) 431.014 513.662i 0.787960 0.939054i −0.211304 0.977420i \(-0.567771\pi\)
0.999264 + 0.0383666i \(0.0122155\pi\)
\(548\) −490.539 + 730.126i −0.895144 + 1.33235i
\(549\) 218.610 527.976i 0.398197 0.961705i
\(550\) −316.661 594.244i −0.575748 1.08044i
\(551\) 1332.15 + 234.893i 2.41769 + 0.426304i
\(552\) 225.244 359.220i 0.408050 0.650761i
\(553\) −816.861 297.313i −1.47714 0.537637i
\(554\) 120.419 298.832i 0.217363 0.539409i
\(555\) 74.2918 4.87445i 0.133859 0.00878280i
\(556\) −770.052 190.503i −1.38498 0.342631i
\(557\) −334.348 579.107i −0.600265 1.03969i −0.992781 0.119944i \(-0.961728\pi\)
0.392515 0.919745i \(-0.371605\pi\)
\(558\) 120.169 + 30.9433i 0.215357 + 0.0554540i
\(559\) 187.187 + 108.072i 0.334860 + 0.193331i
\(560\) 213.881 193.998i 0.381930 0.346425i
\(561\) −233.049 + 799.757i −0.415416 + 1.42559i
\(562\) 160.965 22.7721i 0.286415 0.0405198i
\(563\) −30.5238 36.3768i −0.0542163 0.0646125i 0.738255 0.674522i \(-0.235650\pi\)
−0.792471 + 0.609910i \(0.791206\pi\)
\(564\) −421.949 + 500.346i −0.748137 + 0.887138i
\(565\) 35.9245 13.0754i 0.0635831 0.0231424i
\(566\) −640.573 21.7838i −1.13175 0.0384872i
\(567\) −47.6129 + 545.942i −0.0839734 + 0.962860i
\(568\) 218.048 + 22.3141i 0.383887 + 0.0392853i
\(569\) 114.639 41.7252i 0.201475 0.0733307i −0.239312 0.970943i \(-0.576922\pi\)
0.440786 + 0.897612i \(0.354700\pi\)
\(570\) −418.302 329.097i −0.733863 0.577364i
\(571\) 604.450 + 720.356i 1.05858 + 1.26157i 0.963958 + 0.266056i \(0.0857205\pi\)
0.0946241 + 0.995513i \(0.469835\pi\)
\(572\) 379.293 40.5657i 0.663100 0.0709191i
\(573\) 26.4109 90.6348i 0.0460923 0.158176i
\(574\) 223.981 + 201.303i 0.390210 + 0.350702i
\(575\) −273.626 157.978i −0.475871 0.274744i
\(576\) −467.045 + 337.113i −0.810842 + 0.585265i
\(577\) −71.2440 123.398i −0.123473 0.213862i 0.797662 0.603105i \(-0.206070\pi\)
−0.921135 + 0.389243i \(0.872737\pi\)
\(578\) −139.767 29.5750i −0.241811 0.0511678i
\(579\) 697.534 45.7668i 1.20472 0.0790445i
\(580\) 396.822 + 175.809i 0.684175 + 0.303119i
\(581\) −8.96850 3.26427i −0.0154363 0.00561836i
\(582\) 600.942 + 322.138i 1.03255 + 0.553502i
\(583\) 476.222 + 83.9708i 0.816848 + 0.144032i
\(584\) 266.566 119.559i 0.456449 0.204724i
\(585\) 120.575 15.8908i 0.206111 0.0271638i
\(586\) 85.6135 + 53.3886i 0.146098 + 0.0911068i
\(587\) 109.295 130.253i 0.186192 0.221895i −0.664871 0.746958i \(-0.731514\pi\)
0.851064 + 0.525063i \(0.175958\pi\)
\(588\) −6.62933 38.1473i −0.0112744 0.0648764i
\(589\) −39.8093 225.770i −0.0675880 0.383311i
\(590\) 65.3764 51.1739i 0.110808 0.0867354i
\(591\) −692.250 + 304.654i −1.17132 + 0.515489i
\(592\) −145.489 + 31.4805i −0.245759 + 0.0531765i
\(593\) −669.024 −1.12820 −0.564101 0.825706i \(-0.690777\pi\)
−0.564101 + 0.825706i \(0.690777\pi\)
\(594\) 998.924 + 188.494i 1.68169 + 0.317330i
\(595\) 266.202i 0.447398i
\(596\) −847.219 + 244.611i −1.42151 + 0.410422i
\(597\) 889.627 + 97.3684i 1.49016 + 0.163096i
\(598\) 140.946 110.327i 0.235696 0.184493i
\(599\) 483.540 85.2611i 0.807245 0.142339i 0.245229 0.969465i \(-0.421137\pi\)
0.562016 + 0.827126i \(0.310026\pi\)
\(600\) 263.731 + 338.645i 0.439552 + 0.564409i
\(601\) 231.159 + 193.966i 0.384624 + 0.322738i 0.814515 0.580143i \(-0.197003\pi\)
−0.429890 + 0.902881i \(0.641448\pi\)
\(602\) 489.891 + 305.496i 0.813773 + 0.507469i
\(603\) 311.665 + 13.5648i 0.516857 + 0.0224955i
\(604\) −377.830 + 185.135i −0.625547 + 0.306515i
\(605\) −108.104 + 613.090i −0.178685 + 1.01337i
\(606\) −865.200 + 536.577i −1.42772 + 0.885441i
\(607\) 66.6834 183.211i 0.109857 0.301830i −0.872566 0.488496i \(-0.837546\pi\)
0.982424 + 0.186665i \(0.0597680\pi\)
\(608\) 924.000 + 527.862i 1.51974 + 0.868195i
\(609\) −686.439 + 458.732i −1.12716 + 0.753255i
\(610\) −331.402 70.1256i −0.543283 0.114960i
\(611\) −239.286 + 138.152i −0.391630 + 0.226107i
\(612\) 59.0760 527.712i 0.0965295 0.862274i
\(613\) −296.011 + 512.707i −0.482890 + 0.836389i −0.999807 0.0196459i \(-0.993746\pi\)
0.516917 + 0.856035i \(0.327079\pi\)
\(614\) 187.409 + 168.434i 0.305227 + 0.274323i
\(615\) 128.646 123.169i 0.209181 0.200275i
\(616\) 1016.22 73.8587i 1.64971 0.119900i
\(617\) −272.885 + 228.978i −0.442277 + 0.371114i −0.836561 0.547874i \(-0.815437\pi\)
0.394284 + 0.918989i \(0.370993\pi\)
\(618\) −11.5489 + 80.2056i −0.0186875 + 0.129783i
\(619\) −190.318 522.895i −0.307461 0.844741i −0.993150 0.116847i \(-0.962721\pi\)
0.685689 0.727894i \(1.74050\pi\)
\(620\) 4.99712 73.3876i 0.00805987 0.118367i
\(621\) 444.529 172.973i 0.715828 0.278540i
\(622\) −458.381 15.5880i −0.736948 0.0250612i
\(623\) 158.186 + 434.612i 0.253910 + 0.697612i
\(624\) −233.782 + 66.8734i −0.374651 + 0.107169i
\(625\) 108.750 91.2519i 0.174000 0.146003i
\(626\) −585.624 + 82.8494i −0.935501 + 0.132347i
\(627\) −446.514 1824.21i −0.712143 2.90943i
\(628\) −768.397 739.326i −1.22356 1.17727i
\(629\) 68.6145 118.844i 0.109085 0.188941i
\(630\) 323.323 31.4751i 0.513211 0.0499605i
\(631\) −716.677 + 413.773i −1.13578 + 0.655742i −0.945382 0.325965i \(-0.894311\pi\)
−0.190397 + 0.981707i \(0.560978\pi\)
\(632\) 280.617 988.841i 0.444014 1.56462i
\(633\) −217.204 107.095i −0.343134 0.169186i
\(634\) 141.063 350.063i 0.222497 0.552150i
\(635\) 130.419 358.324i 0.205385 0.564289i
\(636\) −308.249 0.761016i −0.484669 0.00119657i
\(637\) 2.83833 16.0970i 0.00445578 0.0252700i
\(638\) 720.224 + 1351.57i 1.12888 + 2.11844i
\(639\) 181.824 + 166.565i 0.284545 + 0.260665i
\(640\) 247.123 + 235.610i 0.386129 + 0.368141i
\(641\) 18.1457 + 15.2260i 0.0283084 + 0.0237536i 0.656832 0.754037i \(-0.271896\pi\)
−0.628524 + 0.777790i \(0.716340\pi\)
\(642\) 918.709 + 301.945i 1.43101 + 0.470320i
\(643\) 511.335 90.1621i 0.795233 0.140221i 0.238751 0.971081i \(-0.423262\pi\)
0.556482 + 0.830860i \(0.312151\pi\)
\(644\) 386.277 281.726i 0.599809 0.437462i
\(645\) 201.881 275.371i 0.312994 0.426931i
\(646\) −932.736 + 304.006i −1.44386 + 0.470597i
\(647\) 728.461i 1.12591i 0.826489 + 0.562953i \(0.190335\pi\)
−0.826489 + 0.562953i \(0.809665\pi\)
\(648\) −647.932 9.35693i −0.999896 0.0144397i
\(649\) 292.954 0.451393
\(650\) 56.1506 + 172.279i 0.0863856 + 0.265044i
\(651\) 112.846 + 82.7303i 0.173343 + 0.127082i
\(652\) −422.698 579.566i −0.648310 0.888905i
\(653\) 101.708 + 576.816i 0.155755 + 0.883332i 0.958092 + 0.286460i \(0.0924786\pi\)
−0.802337 + 0.596871i \(0.796410\pi\)
\(654\) 125.529 381.939i 0.191940 0.584004i
\(655\) 133.800 159.457i 0.204275 0.243445i
\(656\) −218.207 + 281.404i −0.332632 + 0.428970i
\(657\) 320.888 + 71.0930i 0.488414 + 0.108209i
\(658\) −651.325 + 347.079i −0.989855 + 0.527475i
\(659\) −1165.69 205.543i −1.76888 0.311901i −0.808064 0.589095i \(-0.799485\pi\)
−0.960814 + 0.277194i \(0.910596\pi\)
\(660\) 1.48769 602.589i 0.00225408 0.913013i
\(661\) −112.165 40.8248i −0.169690 0.0617622i 0.255778 0.966736i \(-0.417668\pi\)
−0.425468 + 0.904973i \(0.639891\pi\)
\(662\) −329.430 132.749i −0.497628 0.200527i
\(663\) 99.1322 201.055i 0.149521 0.303250i
\(664\) 3.08096 10.8567i 0.00463999 0.0163505i
\(665\) −300.078 519.751i −0.451246 0.781580i
\(666\) −152.458 69.2858i −0.228916 0.104033i
\(667\) 622.344 + 359.310i 0.933049 + 0.538696i
\(668\) 535.153 556.196i 0.801127 0.832628i
\(669\) −391.950 + 95.9380i −0.585874 + 0.143405i
\(670\) −25.9035 183.100i −0.0386620 0.273284i
\(671\) −768.308 915.634i −1.14502 1.36458i
\(672\) −630.163 + 157.298i −0.937742 + 0.234074i
\(673\) 989.622 360.193i 1.47046 0.535205i 0.522237 0.852800i \(-0.325098\pi\)
0.948226 + 0.317595i \(0.102875\pi\)
\(674\) 24.4463 718.866i 0.0362704 1.06657i
\(675\) 10.6332 + 482.762i 0.0157529 + 0.715203i
\(676\) 572.026 + 38.9505i 0.846192 + 0.0576190i
\(677\) 529.374 192.676i 0.781940 0.284603i 0.0799588 0.996798i \(-0.474521\pi\)
0.701982 + 0.712195i \(0.252299\pi\)
\(678\) −85.1127 12.2555i −0.125535 0.0180759i
\(679\) 494.202 + 588.967i 0.727838 + 0.867404i
\(680\) −313.942 + 22.8172i −0.461680 + 0.0335548i
\(681\) −634.385 662.597i −0.931550 0.972976i
\(682\) 173.499 193.045i 0.254398 0.283057i
\(683\) 226.467 + 130.751i 0.331577 + 0.191436i 0.656541 0.754290i \(-0.272019\pi\)
−0.324964 + 0.945726i \(0.605352\pi\)
\(684\) 479.524 + 1096.94i 0.701058 + 1.60371i
\(685\) 293.295 + 508.002i 0.428168 + 0.741609i
\(686\) 146.298 691.380i 0.213262 1.00784i
\(687\) −369.190 552.450i −0.537395 0.804149i
\(688\) −318.294 + 603.934i −0.462636 + 0.877811i
\(689\) −122.280 44.5065i −0.177475 0.0645957i
\(690\) −149.025 240.294i −0.215978 0.348252i
\(691\) −720.416 127.029i −1.04257 0.183833i −0.373959 0.927445i \(-0.622000\pi\)
−0.668611 + 0.743612i \(0.733111\pi\)
\(692\) −436.512 890.849i −0.630797 1.28735i
\(693\) 966.835 + 615.755i 1.39514 + 0.888536i
\(694\) 293.687 470.953i 0.423180 0.678607i
\(695\) −340.041 + 405.245i −0.489268 + 0.583087i
\(696\) −599.839 770.226i −0.861837 1.10665i
\(697\) −57.0050 323.291i −0.0817862 0.463832i
\(698\) −65.3193 83.4478i −0.0935807 0.119553i
\(699\) −27.4988 + 251.249i −0.0393402 + 0.359441i
\(700\) 134.257 + 465.002i 0.191795 + 0.664289i
\(701\) 980.935 1.39934 0.699668 0.714468i \(-0.253331\pi\)
0.699668 + 0.714468i \(0.253331\pi\)
\(702\) −255.918 96.6315i −0.364556 0.137652i
\(703\) 309.385i 0.440093i
\(704\) 174.209 + 1192.14i 0.247456 + 1.69338i
\(705\) 175.818 + 399.502i 0.249387 + 0.566670i
\(706\) 168.407 + 215.146i 0.238536 + 0.304739i
\(707\) −1130.55 + 199.346i −1.59908 + 0.281960i
\(708\) −183.986 + 31.9735i −0.259867 + 0.0451603i
\(709\) −36.9636 31.0162i −0.0521349 0.0437464i 0.616348 0.787474i \(-0.288612\pi\)
−0.668483 + 0.743728i \(0.733056\pi\)
\(710\) 77.3452 124.030i 0.108937 0.174690i
\(711\) 917.316 704.081i 1.29018 0.990269i
\(712\) −498.997 + 223.808i −0.700839 + 0.314337i
\(713\) 21.1487 119.940i 0.0296616 0.168219i
\(714\) 282.890 527.725i 0.396204 0.739110i
\(715\) 87.0046 239.043i 0.121685 0.334326i
\(716\) 45.8383 103.463i 0.0640200 0.144501i
\(717\) 24.4533 + 372.694i 0.0341050 + 0.519796i
\(718\) 79.6735 376.524i 0.110966 0.524407i
\(719\) −1170.39 + 675.725i −1.62780 + 0.939813i −0.643057 + 0.765818i \(0.722334\pi\)
−0.984747 + 0.173994i \(0.944333\pi\)
\(720\) 64.8332 + 378.610i 0.0900461 + 0.525847i
\(721\) −45.6863 + 79.1311i −0.0633652 + 0.109752i
\(722\) 995.824 1108.01i 1.37926 1.53464i
\(723\) −437.205 127.401i −0.604710 0.176212i
\(724\) 114.208 + 1067.86i 0.157746 + 1.47494i
\(725\) −557.284 + 467.617i −0.768667 + 0.644988i
\(726\) 865.833 1100.52i 1.19261 1.51587i
\(727\) 264.383 + 726.385i 0.363662 + 0.999154i 0.977724 + 0.209896i \(0.0673126\pi\)
−0.614061 + 0.789258i \(0.710465\pi\)
\(728\) −272.762 27.9133i −0.374673 0.0383424i
\(729\) −578.537 443.549i −0.793604 0.608435i
\(730\) 6.62163 194.716i 0.00907073 0.266734i
\(731\) −215.251 591.397i −0.294461 0.809025i
\(732\) 582.459 + 491.196i 0.795709 + 0.671033i
\(733\) −1060.19 + 889.603i −1.44637 + 1.21365i −0.511190 + 0.859468i \(0.670795\pi\)
−0.935178 + 0.354179i \(0.884760\pi\)
\(734\) −68.2452 482.394i −0.0929771 0.657212i
\(735\) −24.7898 7.22371i −0.0337276 0.00982818i
\(736\) 365.360 + 431.404i 0.496413 + 0.586147i
\(737\) 326.259 565.097i 0.442685 0.766753i
\(738\) −385.922 + 107.462i −0.522930 + 0.145613i
\(739\) 295.927 170.854i 0.400442 0.231196i −0.286232 0.958160i \(-0.592403\pi\)
0.686675 + 0.726965i \(0.259070\pi\)
\(740\) −23.8394 + 96.3637i −0.0322153 + 0.130221i
\(741\) 33.0884 + 504.302i 0.0446537 + 0.680569i
\(742\) −322.392 129.913i −0.434491 0.175085i
\(743\) −191.604 + 526.428i −0.257879 + 0.708517i 0.741419 + 0.671043i \(0.234153\pi\)
−0.999298 + 0.0374741i \(0.988069\pi\)
\(744\) −87.8947 + 140.175i −0.118138 + 0.188407i
\(745\) −102.117 + 579.134i −0.137070 + 0.777361i
\(746\) −695.863 + 370.812i −0.932792 + 0.497067i
\(747\) 10.0714 7.73027i 0.0134825 0.0103484i
\(748\) −921.940 619.410i −1.23254 0.828088i
\(749\) 835.336 + 700.930i 1.11527 + 0.935821i
\(750\) 671.846 140.432i 0.895795 0.187243i
\(751\) −732.986 + 129.245i −0.976013 + 0.172097i −0.638835 0.769344i \(-0.720583\pi\)
−0.337178 + 0.941441i \(0.609472\pi\)
\(752\) −465.152 738.384i −0.618553 0.981894i
\(753\) 25.5953 + 58.1589i 0.0339911 + 0.0772363i
\(754\) −127.711 391.836i −0.169378 0.519676i
\(755\) 280.588i 0.371640i
\(756\) −674.411 281.195i −0.892079 0.371950i
\(757\) −34.0389