Properties

Label 547.2.o.a.4.1
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.82015 - 0.0324547i) q^{2} +(-0.0795262 + 0.348427i) q^{3} +(5.95271 + 0.137028i) q^{4} +(0.114891 - 0.215879i) q^{5} +(0.235584 - 0.980034i) q^{6} +(-0.421000 - 1.03743i) q^{7} +(-11.1458 - 0.384938i) q^{8} +(2.58783 + 1.24623i) q^{9} +O(q^{10})\) \(q+(-2.82015 - 0.0324547i) q^{2} +(-0.0795262 + 0.348427i) q^{3} +(5.95271 + 0.137028i) q^{4} +(0.114891 - 0.215879i) q^{5} +(0.235584 - 0.980034i) q^{6} +(-0.421000 - 1.03743i) q^{7} +(-11.1458 - 0.384938i) q^{8} +(2.58783 + 1.24623i) q^{9} +(-0.331017 + 0.605083i) q^{10} +(0.169700 + 0.176676i) q^{11} +(-0.521140 + 2.06319i) q^{12} +(3.67499 + 0.553916i) q^{13} +(1.15361 + 2.93936i) q^{14} +(0.0660813 + 0.0571993i) q^{15} +(19.5242 + 0.899348i) q^{16} +(1.18161 - 7.01553i) q^{17} +(-7.25761 - 3.59855i) q^{18} +(-2.98793 + 1.61231i) q^{19} +(0.713496 - 1.26932i) q^{20} +(0.394947 - 0.0641852i) q^{21} +(-0.472844 - 0.503760i) q^{22} +(-2.49148 - 0.583767i) q^{23} +(1.02050 - 3.85287i) q^{24} +(2.75938 + 4.09773i) q^{25} +(-10.3460 - 1.68140i) q^{26} +(-1.30850 + 1.64081i) q^{27} +(-2.36393 - 6.23318i) q^{28} +(2.51771 + 1.43435i) q^{29} +(-0.184503 - 0.163455i) q^{30} +(-4.58048 - 1.64729i) q^{31} +(-32.7641 - 1.88728i) q^{32} +(-0.0750542 + 0.0450776i) q^{33} +(-3.55999 + 19.7465i) q^{34} +(-0.272328 - 0.0283060i) q^{35} +(15.2338 + 7.77307i) q^{36} +(1.98006 - 1.59777i) q^{37} +(8.47874 - 4.44999i) q^{38} +(-0.485258 + 1.23642i) q^{39} +(-1.36365 + 2.36191i) q^{40} +(1.53217 + 2.65379i) q^{41} +(-1.11589 + 0.168194i) q^{42} +(0.809375 - 8.24813i) q^{43} +(0.985963 + 1.07495i) q^{44} +(0.566355 - 0.415478i) q^{45} +(7.00740 + 1.72717i) q^{46} +(8.47408 - 0.684099i) q^{47} +(-1.86604 + 6.73125i) q^{48} +(4.12142 - 4.00453i) q^{49} +(-7.64887 - 11.6457i) q^{50} +(2.35043 + 0.969622i) q^{51} +(21.8003 + 3.80088i) q^{52} +(-2.26091 + 0.783834i) q^{53} +(3.74342 - 4.58486i) q^{54} +(0.0576377 - 0.0163361i) q^{55} +(4.29302 + 11.7249i) q^{56} +(-0.324154 - 1.16930i) q^{57} +(-7.05375 - 4.12678i) q^{58} +(-1.73886 + 0.740857i) q^{59} +(0.385525 + 0.349546i) q^{60} +(11.6903 - 5.46491i) q^{61} +(12.8642 + 4.79426i) q^{62} +(0.203398 - 3.20934i) q^{63} +(53.3417 + 3.68889i) q^{64} +(0.541804 - 0.729715i) q^{65} +(0.213127 - 0.124689i) q^{66} +(8.78268 + 8.53358i) q^{67} +(7.99508 - 41.5995i) q^{68} +(0.401538 - 0.821674i) q^{69} +(0.767086 + 0.0886655i) q^{70} +(9.87893 - 1.95766i) q^{71} +(-28.3636 - 14.8864i) q^{72} +(-4.17630 + 3.61496i) q^{73} +(-5.63593 + 4.44169i) q^{74} +(-1.64720 + 0.635566i) q^{75} +(-18.0072 + 9.18819i) q^{76} +(0.111845 - 0.250431i) q^{77} +(1.40863 - 3.47113i) q^{78} +(-3.94663 - 2.82597i) q^{79} +(2.43732 - 4.11155i) q^{80} +(4.90486 + 6.15050i) q^{81} +(-4.23481 - 7.53380i) q^{82} +(6.37231 + 4.02961i) q^{83} +(2.35980 - 0.327957i) q^{84} +(-1.37875 - 1.06111i) q^{85} +(-2.55025 + 23.2347i) q^{86} +(-0.699989 + 0.763169i) q^{87} +(-1.82342 - 2.03451i) q^{88} +(0.641659 + 7.41610i) q^{89} +(-1.61069 + 1.15333i) q^{90} +(-0.972525 - 4.04573i) q^{91} +(-14.7511 - 3.81639i) q^{92} +(0.938228 - 1.46496i) q^{93} +(-23.9204 + 1.65424i) q^{94} +(0.00477731 + 0.830274i) q^{95} +(3.26318 - 11.2658i) q^{96} +(-1.22749 - 9.22118i) q^{97} +(-11.7530 + 11.1596i) q^{98} +(0.218974 + 0.668693i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.82015 0.0324547i −1.99415 0.0229490i −0.996203 0.0870637i \(-0.972252\pi\)
−0.997943 + 0.0641147i \(0.979578\pi\)
\(3\) −0.0795262 + 0.348427i −0.0459145 + 0.201164i −0.992683 0.120751i \(-0.961470\pi\)
0.946768 + 0.321916i \(0.104327\pi\)
\(4\) 5.95271 + 0.137028i 2.97635 + 0.0685139i
\(5\) 0.114891 0.215879i 0.0513810 0.0965442i −0.855756 0.517379i \(-0.826908\pi\)
0.907137 + 0.420835i \(0.138263\pi\)
\(6\) 0.235584 0.980034i 0.0961766 0.400097i
\(7\) −0.421000 1.03743i −0.159123 0.392110i 0.826068 0.563570i \(-0.190573\pi\)
−0.985191 + 0.171461i \(0.945151\pi\)
\(8\) −11.1458 0.384938i −3.94062 0.136096i
\(9\) 2.58783 + 1.24623i 0.862610 + 0.415411i
\(10\) −0.331017 + 0.605083i −0.104677 + 0.191344i
\(11\) 0.169700 + 0.176676i 0.0511664 + 0.0532698i 0.746294 0.665617i \(-0.231831\pi\)
−0.695127 + 0.718887i \(0.744652\pi\)
\(12\) −0.521140 + 2.06319i −0.150440 + 0.595591i
\(13\) 3.67499 + 0.553916i 1.01926 + 0.153629i 0.637353 0.770572i \(-0.280029\pi\)
0.381907 + 0.924201i \(0.375267\pi\)
\(14\) 1.15361 + 2.93936i 0.308316 + 0.785576i
\(15\) 0.0660813 + 0.0571993i 0.0170621 + 0.0147688i
\(16\) 19.5242 + 0.899348i 4.88106 + 0.224837i
\(17\) 1.18161 7.01553i 0.286582 1.70152i −0.355333 0.934740i \(-0.615632\pi\)
0.641914 0.766776i \(-0.278140\pi\)
\(18\) −7.25761 3.59855i −1.71064 0.848186i
\(19\) −2.98793 + 1.61231i −0.685479 + 0.369890i −0.780127 0.625621i \(-0.784846\pi\)
0.0946482 + 0.995511i \(0.469827\pi\)
\(20\) 0.713496 1.26932i 0.159543 0.283829i
\(21\) 0.394947 0.0641852i 0.0861846 0.0140064i
\(22\) −0.472844 0.503760i −0.100811 0.107402i
\(23\) −2.49148 0.583767i −0.519510 0.121724i −0.0398966 0.999204i \(-0.512703\pi\)
−0.479613 + 0.877480i \(0.659223\pi\)
\(24\) 1.02050 3.85287i 0.208309 0.786464i
\(25\) 2.75938 + 4.09773i 0.551876 + 0.819545i
\(26\) −10.3460 1.68140i −2.02903 0.329749i
\(27\) −1.30850 + 1.64081i −0.251822 + 0.315774i
\(28\) −2.36393 6.23318i −0.446741 1.17796i
\(29\) 2.51771 + 1.43435i 0.467526 + 0.266352i 0.710521 0.703676i \(-0.248459\pi\)
−0.242994 + 0.970028i \(0.578130\pi\)
\(30\) −0.184503 0.163455i −0.0336854 0.0298427i
\(31\) −4.58048 1.64729i −0.822679 0.295862i −0.106972 0.994262i \(-0.534115\pi\)
−0.715708 + 0.698400i \(0.753896\pi\)
\(32\) −32.7641 1.88728i −5.79193 0.333626i
\(33\) −0.0750542 + 0.0450776i −0.0130653 + 0.00784699i
\(34\) −3.55999 + 19.7465i −0.610533 + 3.38649i
\(35\) −0.272328 0.0283060i −0.0460318 0.00478459i
\(36\) 15.2338 + 7.77307i 2.53897 + 1.29551i
\(37\) 1.98006 1.59777i 0.325520 0.262672i −0.451330 0.892357i \(-0.649050\pi\)
0.776851 + 0.629685i \(0.216816\pi\)
\(38\) 8.47874 4.44999i 1.37543 0.721883i
\(39\) −0.485258 + 1.23642i −0.0777034 + 0.197985i
\(40\) −1.36365 + 2.36191i −0.215612 + 0.373451i
\(41\) 1.53217 + 2.65379i 0.239284 + 0.414452i 0.960509 0.278249i \(-0.0897539\pi\)
−0.721225 + 0.692701i \(0.756421\pi\)
\(42\) −1.11589 + 0.168194i −0.172186 + 0.0259529i
\(43\) 0.809375 8.24813i 0.123428 1.25783i −0.709603 0.704602i \(-0.751126\pi\)
0.833031 0.553226i \(-0.186603\pi\)
\(44\) 0.985963 + 1.07495i 0.148639 + 0.162055i
\(45\) 0.566355 0.415478i 0.0844273 0.0619358i
\(46\) 7.00740 + 1.72717i 1.03318 + 0.254657i
\(47\) 8.47408 0.684099i 1.23607 0.0997861i 0.554905 0.831914i \(-0.312755\pi\)
0.681167 + 0.732128i \(0.261473\pi\)
\(48\) −1.86604 + 6.73125i −0.269340 + 0.971572i
\(49\) 4.12142 4.00453i 0.588775 0.572075i
\(50\) −7.64887 11.6457i −1.08171 1.64696i
\(51\) 2.35043 + 0.969622i 0.329126 + 0.135774i
\(52\) 21.8003 + 3.80088i 3.02315 + 0.527087i
\(53\) −2.26091 + 0.783834i −0.310560 + 0.107668i −0.478388 0.878148i \(-0.658779\pi\)
0.167828 + 0.985816i \(0.446325\pi\)
\(54\) 3.74342 4.58486i 0.509416 0.623921i
\(55\) 0.0576377 0.0163361i 0.00777187 0.00220276i
\(56\) 4.29302 + 11.7249i 0.573679 + 1.56681i
\(57\) −0.324154 1.16930i −0.0429353 0.154877i
\(58\) −7.05375 4.12678i −0.926203 0.541873i
\(59\) −1.73886 + 0.740857i −0.226380 + 0.0964514i −0.502178 0.864764i \(-0.667468\pi\)
0.275799 + 0.961215i \(0.411058\pi\)
\(60\) 0.385525 + 0.349546i 0.0497710 + 0.0451261i
\(61\) 11.6903 5.46491i 1.49679 0.699711i 0.509766 0.860313i \(-0.329732\pi\)
0.987019 + 0.160603i \(0.0513437\pi\)
\(62\) 12.8642 + 4.79426i 1.63375 + 0.608871i
\(63\) 0.203398 3.20934i 0.0256257 0.404339i
\(64\) 53.3417 + 3.68889i 6.66771 + 0.461112i
\(65\) 0.541804 0.729715i 0.0672025 0.0905101i
\(66\) 0.213127 0.124689i 0.0262341 0.0153482i
\(67\) 8.78268 + 8.53358i 1.07298 + 1.04254i 0.998974 + 0.0452843i \(0.0144194\pi\)
0.0740012 + 0.997258i \(0.476423\pi\)
\(68\) 7.99508 41.5995i 0.969546 5.04468i
\(69\) 0.401538 0.821674i 0.0483395 0.0989180i
\(70\) 0.767086 + 0.0886655i 0.0916843 + 0.0105975i
\(71\) 9.87893 1.95766i 1.17241 0.232331i 0.430351 0.902662i \(-0.358390\pi\)
0.742062 + 0.670331i \(0.233848\pi\)
\(72\) −28.3636 14.8864i −3.34268 1.75437i
\(73\) −4.17630 + 3.61496i −0.488799 + 0.423099i −0.863731 0.503953i \(-0.831878\pi\)
0.374932 + 0.927052i \(0.377666\pi\)
\(74\) −5.63593 + 4.44169i −0.655163 + 0.516336i
\(75\) −1.64720 + 0.635566i −0.190202 + 0.0733888i
\(76\) −18.0072 + 9.18819i −2.06557 + 1.05396i
\(77\) 0.111845 0.250431i 0.0127459 0.0285393i
\(78\) 1.40863 3.47113i 0.159495 0.393028i
\(79\) −3.94663 2.82597i −0.444030 0.317946i 0.338045 0.941130i \(-0.390234\pi\)
−0.782075 + 0.623184i \(0.785839\pi\)
\(80\) 2.43732 4.11155i 0.272500 0.459685i
\(81\) 4.90486 + 6.15050i 0.544984 + 0.683389i
\(82\) −4.23481 7.53380i −0.467656 0.831970i
\(83\) 6.37231 + 4.02961i 0.699452 + 0.442307i 0.836291 0.548287i \(-0.184720\pi\)
−0.136838 + 0.990593i \(0.543694\pi\)
\(84\) 2.35980 0.327957i 0.257475 0.0357830i
\(85\) −1.37875 1.06111i −0.149547 0.115093i
\(86\) −2.55025 + 23.2347i −0.275000 + 2.50546i
\(87\) −0.699989 + 0.763169i −0.0750467 + 0.0818203i
\(88\) −1.82342 2.03451i −0.194377 0.216880i
\(89\) 0.641659 + 7.41610i 0.0680157 + 0.786105i 0.949475 + 0.313844i \(0.101617\pi\)
−0.881459 + 0.472261i \(0.843438\pi\)
\(90\) −1.61069 + 1.15333i −0.169782 + 0.121571i
\(91\) −0.972525 4.04573i −0.101948 0.424108i
\(92\) −14.7511 3.81639i −1.53790 0.397887i
\(93\) 0.938228 1.46496i 0.0972898 0.151909i
\(94\) −23.9204 + 1.65424i −2.46720 + 0.170621i
\(95\) 0.00477731 + 0.830274i 0.000490142 + 0.0851843i
\(96\) 3.26318 11.2658i 0.333047 1.14981i
\(97\) −1.22749 9.22118i −0.124633 0.936269i −0.936066 0.351824i \(-0.885562\pi\)
0.811434 0.584445i \(-0.198688\pi\)
\(98\) −11.7530 + 11.1596i −1.18723 + 1.12729i
\(99\) 0.218974 + 0.668693i 0.0220077 + 0.0672062i
\(100\) 15.8643 + 24.7707i 1.58643 + 2.47707i
\(101\) 7.48334 + 10.0788i 0.744620 + 1.00287i 0.999357 + 0.0358627i \(0.0114179\pi\)
−0.254736 + 0.967011i \(0.581989\pi\)
\(102\) −6.59709 2.81076i −0.653210 0.278307i
\(103\) 4.69417 + 10.1940i 0.462530 + 1.00445i 0.988117 + 0.153705i \(0.0491206\pi\)
−0.525587 + 0.850740i \(0.676154\pi\)
\(104\) −40.7474 7.58846i −3.99561 0.744110i
\(105\) 0.0315198 0.0926353i 0.00307602 0.00904028i
\(106\) 6.40155 2.13715i 0.621773 0.207578i
\(107\) 4.67611 1.15256i 0.452057 0.111422i −0.00671250 0.999977i \(-0.502137\pi\)
0.458769 + 0.888556i \(0.348291\pi\)
\(108\) −8.01398 + 9.58797i −0.771145 + 0.922603i
\(109\) −3.58670 6.93050i −0.343543 0.663822i 0.651990 0.758227i \(-0.273934\pi\)
−0.995534 + 0.0944056i \(0.969905\pi\)
\(110\) −0.163077 + 0.0441996i −0.0155488 + 0.00421427i
\(111\) 0.399240 + 0.816972i 0.0378942 + 0.0775436i
\(112\) −7.28669 20.6336i −0.688527 1.94969i
\(113\) −0.396997 13.7956i −0.0373463 1.29778i −0.779012 0.627010i \(-0.784279\pi\)
0.741665 0.670770i \(-0.234036\pi\)
\(114\) 0.876213 + 3.30811i 0.0820649 + 0.309833i
\(115\) −0.412273 + 0.470790i −0.0384446 + 0.0439014i
\(116\) 14.7906 + 8.88324i 1.37328 + 0.824789i
\(117\) 8.81995 + 6.01334i 0.815405 + 0.555934i
\(118\) 4.92787 2.03289i 0.453647 0.187143i
\(119\) −7.77555 + 1.72771i −0.712783 + 0.158379i
\(120\) −0.714508 0.662967i −0.0652254 0.0605203i
\(121\) 0.440509 10.9311i 0.0400463 0.993738i
\(122\) −33.1456 + 15.0325i −3.00086 + 1.36097i
\(123\) −1.04650 + 0.322802i −0.0943597 + 0.0291061i
\(124\) −27.0406 10.4335i −2.42831 0.936955i
\(125\) 2.41783 0.251312i 0.216258 0.0224780i
\(126\) −0.677771 + 9.04422i −0.0603806 + 0.805723i
\(127\) 3.64655 9.95933i 0.323579 0.883748i −0.666784 0.745251i \(-0.732330\pi\)
0.990363 0.138497i \(-0.0442271\pi\)
\(128\) −84.8876 6.85284i −7.50308 0.605711i
\(129\) 2.80950 + 0.937950i 0.247363 + 0.0825819i
\(130\) −1.55165 + 2.04032i −0.136089 + 0.178948i
\(131\) 8.66941 + 1.82190i 0.757450 + 0.159180i 0.568360 0.822780i \(-0.307578\pi\)
0.189090 + 0.981960i \(0.439446\pi\)
\(132\) −0.452953 + 0.258049i −0.0394245 + 0.0224603i
\(133\) 2.93057 + 2.42097i 0.254113 + 0.209925i
\(134\) −24.4915 24.3510i −2.11574 2.10360i
\(135\) 0.203882 + 0.470994i 0.0175473 + 0.0405367i
\(136\) −15.8704 + 77.7386i −1.36088 + 6.66603i
\(137\) −16.1436 + 0.371616i −1.37924 + 0.0317493i −0.706283 0.707930i \(-0.749629\pi\)
−0.672960 + 0.739679i \(0.734977\pi\)
\(138\) −1.15906 + 2.30421i −0.0986660 + 0.196147i
\(139\) −11.7550 5.33120i −0.997042 0.452186i −0.152863 0.988247i \(-0.548849\pi\)
−0.844179 + 0.536061i \(0.819912\pi\)
\(140\) −1.61721 0.205814i −0.136679 0.0173944i
\(141\) −0.435553 + 3.00700i −0.0366802 + 0.253235i
\(142\) −27.9236 + 5.20026i −2.34329 + 0.436396i
\(143\) 0.525782 + 0.743283i 0.0439681 + 0.0621564i
\(144\) 49.4046 + 26.6591i 4.11705 + 2.22159i
\(145\) 0.598909 0.378727i 0.0497367 0.0314516i
\(146\) 11.8951 10.0592i 0.984445 0.832503i
\(147\) 1.06752 + 1.75448i 0.0880479 + 0.144707i
\(148\) 12.0057 9.23975i 0.986861 0.759503i
\(149\) 6.82995 6.94888i 0.559532 0.569274i −0.374155 0.927366i \(-0.622067\pi\)
0.933686 + 0.358092i \(0.116573\pi\)
\(150\) 4.66598 1.73893i 0.380975 0.141983i
\(151\) −2.37505 7.86000i −0.193279 0.639637i −0.998886 0.0471877i \(-0.984974\pi\)
0.805607 0.592450i \(-0.201839\pi\)
\(152\) 33.9234 16.8203i 2.75155 1.36430i
\(153\) 11.8008 16.6824i 0.954037 1.34870i
\(154\) −0.323546 + 0.702623i −0.0260721 + 0.0566190i
\(155\) −0.881874 + 0.799573i −0.0708338 + 0.0642232i
\(156\) −3.05802 + 7.29353i −0.244838 + 0.583950i
\(157\) 2.71932 + 3.25341i 0.217025 + 0.259650i 0.864725 0.502245i \(-0.167492\pi\)
−0.647700 + 0.761895i \(0.724269\pi\)
\(158\) 11.0384 + 8.09773i 0.878164 + 0.644220i
\(159\) −0.0933072 0.850099i −0.00739974 0.0674172i
\(160\) −4.17174 + 6.85627i −0.329805 + 0.542035i
\(161\) 0.443299 + 2.83049i 0.0349368 + 0.223074i
\(162\) −13.6328 17.5045i −1.07109 1.37528i
\(163\) −5.47287 + 17.3868i −0.428669 + 1.36184i 0.453647 + 0.891181i \(0.350123\pi\)
−0.882316 + 0.470658i \(0.844016\pi\)
\(164\) 8.75690 + 16.0072i 0.683799 + 1.24995i
\(165\) 0.00110823 + 0.0213817i 8.62756e−5 + 0.00166456i
\(166\) −17.8401 11.5709i −1.38466 0.898076i
\(167\) −0.136708 + 7.91902i −0.0105788 + 0.612792i 0.946458 + 0.322826i \(0.104633\pi\)
−0.957037 + 0.289966i \(0.906356\pi\)
\(168\) −4.42670 + 0.563362i −0.341527 + 0.0434644i
\(169\) 0.776318 + 0.239462i 0.0597167 + 0.0184202i
\(170\) 3.85385 + 3.03723i 0.295577 + 0.232945i
\(171\) −9.74158 + 0.448728i −0.744957 + 0.0343151i
\(172\) 5.94819 48.9878i 0.453545 3.73528i
\(173\) −14.5653 + 9.68682i −1.10738 + 0.736476i −0.967292 0.253664i \(-0.918364\pi\)
−0.140086 + 0.990139i \(0.544738\pi\)
\(174\) 1.99884 2.12953i 0.151532 0.161439i
\(175\) 3.08939 4.58779i 0.233536 0.346804i
\(176\) 3.15436 + 3.60208i 0.237769 + 0.271517i
\(177\) −0.119850 0.664782i −0.00900848 0.0499680i
\(178\) −1.56888 20.9353i −0.117593 1.56917i
\(179\) −2.13216 0.604313i −0.159365 0.0451685i 0.192067 0.981382i \(-0.438481\pi\)
−0.351432 + 0.936213i \(0.614305\pi\)
\(180\) 3.42828 2.39561i 0.255529 0.178558i
\(181\) 1.14937 + 5.62999i 0.0854321 + 0.418474i 0.999904 + 0.0138256i \(0.00440096\pi\)
−0.914472 + 0.404648i \(0.867394\pi\)
\(182\) 2.61136 + 11.4411i 0.193567 + 0.848072i
\(183\) 0.974441 + 4.50781i 0.0720328 + 0.333227i
\(184\) 27.5447 + 7.46559i 2.03062 + 0.550370i
\(185\) −0.117434 0.611025i −0.00863392 0.0449235i
\(186\) −2.69349 + 4.10096i −0.197496 + 0.300697i
\(187\) 1.43999 0.981772i 0.105303 0.0717942i
\(188\) 50.5375 2.91106i 3.68582 0.212311i
\(189\) 2.25310 + 0.666693i 0.163889 + 0.0484948i
\(190\) 0.0134736 2.34165i 0.000977478 0.169881i
\(191\) −1.15810 18.2733i −0.0837973 1.32221i −0.789522 0.613722i \(-0.789672\pi\)
0.705725 0.708486i \(-0.250621\pi\)
\(192\) −5.52737 + 18.2923i −0.398903 + 1.32013i
\(193\) 2.51429 + 14.9281i 0.180983 + 1.07455i 0.917385 + 0.398002i \(0.130296\pi\)
−0.736402 + 0.676544i \(0.763477\pi\)
\(194\) 3.16243 + 26.0449i 0.227049 + 1.86992i
\(195\) 0.211165 + 0.246811i 0.0151218 + 0.0176745i
\(196\) 25.0824 23.2730i 1.79160 1.66236i
\(197\) −8.31950 + 12.0529i −0.592740 + 0.858732i −0.998472 0.0552604i \(-0.982401\pi\)
0.405732 + 0.913992i \(0.367016\pi\)
\(198\) −0.595837 1.89292i −0.0423443 0.134524i
\(199\) −18.8735 + 19.6494i −1.33791 + 1.39291i −0.481649 + 0.876364i \(0.659962\pi\)
−0.856260 + 0.516546i \(0.827218\pi\)
\(200\) −29.1780 46.7345i −2.06320 3.30462i
\(201\) −3.67178 + 2.38148i −0.258987 + 0.167977i
\(202\) −20.7770 28.6664i −1.46187 2.01696i
\(203\) 0.428074 3.21579i 0.0300449 0.225704i
\(204\) 13.8586 + 6.09395i 0.970294 + 0.426662i
\(205\) 0.748931 0.0258656i 0.0523076 0.00180653i
\(206\) −12.9074 28.9009i −0.899301 2.01362i
\(207\) −5.72002 4.61565i −0.397569 0.320810i
\(208\) 71.2533 + 14.1199i 4.94053 + 0.979038i
\(209\) −0.791908 0.254287i −0.0547774 0.0175894i
\(210\) −0.0918969 + 0.260222i −0.00634149 + 0.0179570i
\(211\) −21.0530 + 2.43346i −1.44935 + 0.167526i −0.803211 0.595695i \(-0.796877\pi\)
−0.646138 + 0.763221i \(0.723617\pi\)
\(212\) −13.5660 + 4.35613i −0.931714 + 0.299180i
\(213\) −0.103533 + 3.59777i −0.00709399 + 0.246515i
\(214\) −13.2247 + 3.09862i −0.904024 + 0.211817i
\(215\) −1.68761 1.12237i −0.115094 0.0765447i
\(216\) 15.2159 17.7844i 1.03531 1.21007i
\(217\) 0.219443 + 5.44542i 0.0148968 + 0.369659i
\(218\) 9.89009 + 19.6614i 0.669842 + 1.33164i
\(219\) −0.927424 1.74262i −0.0626695 0.117755i
\(220\) 0.345339 0.0893461i 0.0232828 0.00602371i
\(221\) 8.22841 25.1275i 0.553503 1.69026i
\(222\) −1.09940 2.31694i −0.0737870 0.155503i
\(223\) −0.481368 0.632967i −0.0322348 0.0423866i 0.779573 0.626311i \(-0.215436\pi\)
−0.811808 + 0.583924i \(0.801517\pi\)
\(224\) 11.8358 + 34.7849i 0.790811 + 2.32416i
\(225\) 2.03408 + 14.0430i 0.135606 + 0.936203i
\(226\) 0.671858 + 38.9185i 0.0446913 + 2.58882i
\(227\) 7.54348 12.0824i 0.500679 0.801937i −0.497159 0.867659i \(-0.665624\pi\)
0.997838 + 0.0657217i \(0.0209350\pi\)
\(228\) −1.76937 7.00490i −0.117179 0.463911i
\(229\) −1.39352 14.2010i −0.0920863 0.938428i −0.923711 0.383090i \(-0.874860\pi\)
0.831625 0.555338i \(-0.187411\pi\)
\(230\) 1.17795 1.31432i 0.0776717 0.0866634i
\(231\) 0.0783624 + 0.0588855i 0.00515587 + 0.00387438i
\(232\) −27.5096 16.9560i −1.80609 1.11322i
\(233\) 11.6759 + 14.3004i 0.764915 + 0.936850i 0.999378 0.0352746i \(-0.0112306\pi\)
−0.234463 + 0.972125i \(0.575333\pi\)
\(234\) −24.6784 17.2448i −1.61328 1.12733i
\(235\) 0.825916 1.90798i 0.0538768 0.124463i
\(236\) −10.4524 + 4.17183i −0.680394 + 0.271563i
\(237\) 1.29850 1.15037i 0.0843468 0.0747248i
\(238\) 21.9843 4.62004i 1.42503 0.299473i
\(239\) 10.6734 22.4938i 0.690407 1.45500i −0.190488 0.981689i \(-0.561007\pi\)
0.880895 0.473312i \(-0.156942\pi\)
\(240\) 1.23874 + 1.17620i 0.0799606 + 0.0759235i
\(241\) −11.9134 + 16.4372i −0.767412 + 1.05881i 0.228937 + 0.973441i \(0.426475\pi\)
−0.996349 + 0.0853709i \(0.972792\pi\)
\(242\) −1.59707 + 30.8131i −0.102663 + 1.98074i
\(243\) −8.20559 + 3.95160i −0.526389 + 0.253496i
\(244\) 70.3376 30.9291i 4.50290 1.98004i
\(245\) −0.390979 1.34982i −0.0249787 0.0862365i
\(246\) 2.96176 0.876386i 0.188835 0.0558763i
\(247\) −11.8737 + 4.27017i −0.755507 + 0.271705i
\(248\) 50.4189 + 20.1235i 3.20160 + 1.27784i
\(249\) −1.91079 + 1.89983i −0.121091 + 0.120397i
\(250\) −6.82680 + 0.630266i −0.431765 + 0.0398615i
\(251\) 12.5587 9.43724i 0.792697 0.595673i −0.125365 0.992111i \(-0.540010\pi\)
0.918062 + 0.396438i \(0.129754\pi\)
\(252\) 1.65054 19.0764i 0.103974 1.20170i
\(253\) −0.319666 0.539250i −0.0200972 0.0339024i
\(254\) −10.6070 + 27.9684i −0.665544 + 1.75490i
\(255\) 0.479366 0.396009i 0.0300190 0.0247990i
\(256\) 132.688 + 12.2501i 8.29299 + 0.765628i
\(257\) −15.4205 + 9.50468i −0.961902 + 0.592886i −0.913890 0.405961i \(-0.866937\pi\)
−0.0480119 + 0.998847i \(0.515289\pi\)
\(258\) −7.89277 2.73634i −0.491382 0.170357i
\(259\) −2.49118 1.38151i −0.154794 0.0858426i
\(260\) 3.32519 4.26954i 0.206220 0.264786i
\(261\) 4.72787 + 6.84950i 0.292648 + 0.423973i
\(262\) −24.3899 5.41938i −1.50681 0.334810i
\(263\) −15.0070 + 2.61647i −0.925372 + 0.161339i −0.614323 0.789055i \(-0.710571\pi\)
−0.311050 + 0.950394i \(0.600681\pi\)
\(264\) 0.853888 0.473532i 0.0525532 0.0291439i
\(265\) −0.0905457 + 0.578140i −0.00556218 + 0.0355149i
\(266\) −8.18608 6.92262i −0.501920 0.424453i
\(267\) −2.63500 0.366203i −0.161259 0.0224112i
\(268\) 51.1114 + 52.0014i 3.12213 + 3.17649i
\(269\) 22.8342 + 10.6744i 1.39223 + 0.650833i 0.967122 0.254311i \(-0.0818487\pi\)
0.425105 + 0.905144i \(0.360237\pi\)
\(270\) −0.559690 1.33489i −0.0340617 0.0812388i
\(271\) 0.825508 1.59511i 0.0501460 0.0968961i −0.861720 0.507384i \(-0.830612\pi\)
0.911866 + 0.410488i \(0.134642\pi\)
\(272\) 29.3794 135.910i 1.78139 8.24076i
\(273\) 1.48698 0.0171125i 0.0899963 0.00103569i
\(274\) 45.5394 0.524076i 2.75114 0.0316606i
\(275\) −0.255704 + 1.18290i −0.0154195 + 0.0713315i
\(276\) 2.50283 4.83617i 0.150653 0.291103i
\(277\) −6.53404 15.5840i −0.392592 0.936353i −0.990840 0.135041i \(-0.956883\pi\)
0.598248 0.801311i \(-0.295864\pi\)
\(278\) 32.9777 + 15.4163i 1.97787 + 0.924606i
\(279\) −9.80061 9.97126i −0.586747 0.596963i
\(280\) 3.02440 + 0.420321i 0.180743 + 0.0251190i
\(281\) −2.43545 2.05956i −0.145287 0.122863i 0.570149 0.821541i \(-0.306885\pi\)
−0.715436 + 0.698678i \(0.753772\pi\)
\(282\) 1.32592 8.46605i 0.0789571 0.504146i
\(283\) −26.5813 + 14.7409i −1.58009 + 0.876255i −0.582087 + 0.813127i \(0.697764\pi\)
−0.998005 + 0.0631286i \(0.979892\pi\)
\(284\) 59.0746 10.2997i 3.50543 0.611173i
\(285\) −0.289670 0.0643640i −0.0171586 0.00381259i
\(286\) −1.45866 2.11323i −0.0862523 0.124958i
\(287\) 2.10807 2.70675i 0.124435 0.159775i
\(288\) −82.4360 45.7157i −4.85759 2.69382i
\(289\) −31.7594 11.0106i −1.86820 0.647684i
\(290\) −1.70130 + 1.04863i −0.0999039 + 0.0615776i
\(291\) 3.31052 + 0.305635i 0.194066 + 0.0179167i
\(292\) −25.3556 + 20.9465i −1.48383 + 1.22580i
\(293\) 2.10526 5.55110i 0.122990 0.324299i −0.859354 0.511381i \(-0.829134\pi\)
0.982344 + 0.187082i \(0.0599032\pi\)
\(294\) −2.95363 4.98254i −0.172259 0.290587i
\(295\) −0.0398437 + 0.460501i −0.00231979 + 0.0268114i
\(296\) −22.6844 + 17.0462i −1.31850 + 0.990789i
\(297\) −0.511945 + 0.0472639i −0.0297060 + 0.00274253i
\(298\) −19.4870 + 19.3752i −1.12885 + 1.12237i
\(299\) −8.83282 3.52541i −0.510815 0.203880i
\(300\) −9.89240 + 3.55762i −0.571138 + 0.205400i
\(301\) −8.89756 + 2.63279i −0.512847 + 0.151752i
\(302\) 6.44289 + 22.2434i 0.370746 + 1.27997i
\(303\) −4.10683 + 1.80587i −0.235931 + 0.103745i
\(304\) −59.7871 + 28.7920i −3.42903 + 1.65133i
\(305\) 0.163348 3.15156i 0.00935327 0.180458i
\(306\) −33.8214 + 46.6640i −1.93344 + 2.66760i
\(307\) −5.46628 5.19029i −0.311977 0.296226i 0.516456 0.856314i \(-0.327251\pi\)
−0.828433 + 0.560088i \(0.810767\pi\)
\(308\) 0.700095 1.47542i 0.0398916 0.0840697i
\(309\) −3.92518 + 0.824884i −0.223295 + 0.0469260i
\(310\) 2.51296 2.22629i 0.142727 0.126445i
\(311\) −6.27283 + 2.50365i −0.355700 + 0.141969i −0.541681 0.840584i \(-0.682212\pi\)
0.185981 + 0.982553i \(0.440454\pi\)
\(312\) 5.88451 13.5940i 0.333145 0.769609i
\(313\) 10.9527 + 7.65355i 0.619086 + 0.432604i 0.839922 0.542706i \(-0.182600\pi\)
−0.220837 + 0.975311i \(0.570879\pi\)
\(314\) −7.56329 9.26335i −0.426821 0.522761i
\(315\) −0.669462 0.412635i −0.0377199 0.0232494i
\(316\) −23.1059 17.3629i −1.29981 0.976742i
\(317\) −11.0463 + 12.3251i −0.620423 + 0.692247i −0.969568 0.244821i \(-0.921271\pi\)
0.349145 + 0.937069i \(0.386472\pi\)
\(318\) 0.235550 + 2.40043i 0.0132090 + 0.134610i
\(319\) 0.173839 + 0.688227i 0.00973312 + 0.0385333i
\(320\) 6.92485 11.0915i 0.387111 0.620036i
\(321\) 0.0297090 + 1.72094i 0.00165819 + 0.0960536i
\(322\) −1.15830 7.99679i −0.0645498 0.445644i
\(323\) 7.78067 + 22.8671i 0.432928 + 1.27236i
\(324\) 28.3544 + 37.2842i 1.57524 + 2.07135i
\(325\) 7.87091 + 16.5876i 0.436599 + 0.920114i
\(326\) 15.9986 48.8557i 0.886080 2.70587i
\(327\) 2.70001 0.698546i 0.149311 0.0386297i
\(328\) −16.0556 30.1683i −0.886523 1.66577i
\(329\) −4.27729 8.50322i −0.235815 0.468798i
\(330\) −0.00243144 0.0603355i −0.000133846 0.00332136i
\(331\) −7.27402 + 8.50191i −0.399816 + 0.467307i −0.922937 0.384951i \(-0.874218\pi\)
0.523121 + 0.852259i \(0.324768\pi\)
\(332\) 37.3804 + 24.8603i 2.05151 + 1.36438i
\(333\) 7.11526 1.66714i 0.389914 0.0913589i
\(334\) 0.642545 22.3284i 0.0351585 1.22175i
\(335\) 2.85128 0.915566i 0.155782 0.0500227i
\(336\) 7.76877 0.897971i 0.423821 0.0489883i
\(337\) 4.40622 12.4770i 0.240022 0.679665i −0.759551 0.650448i \(-0.774581\pi\)
0.999573 0.0292175i \(-0.00930153\pi\)
\(338\) −2.18156 0.700514i −0.118661 0.0381029i
\(339\) 4.83833 + 0.958786i 0.262782 + 0.0520741i
\(340\) −8.06191 6.50539i −0.437218 0.352805i
\(341\) −0.486270 1.08881i −0.0263330 0.0589622i
\(342\) 27.4873 0.949320i 1.48634 0.0513333i
\(343\) −13.0637 5.74443i −0.705374 0.310170i
\(344\) −12.1961 + 91.6200i −0.657570 + 4.93982i
\(345\) −0.131249 0.181087i −0.00706623 0.00974940i
\(346\) 41.3906 26.8456i 2.22518 1.44323i
\(347\) 2.17542 + 3.48438i 0.116783 + 0.187051i 0.901471 0.432839i \(-0.142488\pi\)
−0.784688 + 0.619891i \(0.787177\pi\)
\(348\) −4.27140 + 4.44700i −0.228971 + 0.238384i
\(349\) −5.15636 16.3813i −0.276014 0.876869i −0.985135 0.171783i \(-0.945047\pi\)
0.709121 0.705087i \(-0.249092\pi\)
\(350\) −8.86142 + 12.8380i −0.473663 + 0.686219i
\(351\) −5.71762 + 5.30517i −0.305184 + 0.283169i
\(352\) −5.22662 6.10890i −0.278580 0.325606i
\(353\) −2.05961 16.9624i −0.109622 0.902818i −0.938949 0.344055i \(-0.888199\pi\)
0.829327 0.558763i \(-0.188724\pi\)
\(354\) 0.316419 + 1.87867i 0.0168175 + 0.0998503i
\(355\) 0.712386 2.35757i 0.0378095 0.125127i
\(356\) 2.80340 + 44.2338i 0.148580 + 2.34439i
\(357\) 0.0163791 2.84661i 0.000866873 0.150658i
\(358\) 5.99340 + 1.77345i 0.316761 + 0.0937298i
\(359\) −13.3796 + 0.770692i −0.706150 + 0.0406756i −0.406865 0.913488i \(-0.633378\pi\)
−0.299285 + 0.954164i \(0.596748\pi\)
\(360\) −6.47239 + 4.41280i −0.341125 + 0.232575i
\(361\) −4.10232 + 6.24598i −0.215912 + 0.328736i
\(362\) −3.05868 15.9147i −0.160760 0.836459i
\(363\) 3.77366 + 1.02279i 0.198066 + 0.0536828i
\(364\) −5.23478 24.2163i −0.274377 1.26928i
\(365\) 0.300575 + 1.31690i 0.0157328 + 0.0689299i
\(366\) −2.60177 12.7443i −0.135997 0.666155i
\(367\) −1.92840 + 1.34752i −0.100661 + 0.0703402i −0.622041 0.782985i \(-0.713696\pi\)
0.521379 + 0.853325i \(0.325418\pi\)
\(368\) −48.1192 13.6383i −2.50839 0.710946i
\(369\) 0.657745 + 8.77699i 0.0342408 + 0.456912i
\(370\) 0.311350 + 1.72699i 0.0161863 + 0.0897820i
\(371\) 1.76501 + 2.01553i 0.0916350 + 0.104641i
\(372\) 5.78574 8.59192i 0.299977 0.445470i
\(373\) 10.2464 10.9163i 0.530539 0.565227i −0.406858 0.913492i \(-0.633375\pi\)
0.937396 + 0.348265i \(0.113229\pi\)
\(374\) −4.09286 + 2.72201i −0.211637 + 0.140752i
\(375\) −0.104717 + 0.862424i −0.00540758 + 0.0445354i
\(376\) −94.7134 + 4.36280i −4.88447 + 0.224994i
\(377\) 8.45805 + 6.66582i 0.435612 + 0.343307i
\(378\) −6.33243 1.95330i −0.325705 0.100467i
\(379\) 19.7316 2.51113i 1.01354 0.128988i 0.398241 0.917281i \(-0.369621\pi\)
0.615301 + 0.788292i \(0.289035\pi\)
\(380\) −0.0853326 + 4.94303i −0.00437747 + 0.253572i
\(381\) 3.18010 + 2.06258i 0.162922 + 0.105669i
\(382\) 2.67296 + 51.5709i 0.136761 + 2.63860i
\(383\) −5.44291 9.94938i −0.278120 0.508390i 0.700610 0.713545i \(-0.252911\pi\)
−0.978729 + 0.205155i \(0.934230\pi\)
\(384\) 9.13850 29.0322i 0.466347 1.48154i
\(385\) −0.0412130 0.0529173i −0.00210041 0.00269692i
\(386\) −6.60619 42.1810i −0.336246 2.14695i
\(387\) 12.3736 20.3361i 0.628986 1.03374i
\(388\) −6.04332 55.0592i −0.306803 2.79521i
\(389\) 22.4523 + 16.4710i 1.13837 + 0.835111i 0.988142 0.153540i \(-0.0490674\pi\)
0.150233 + 0.988651i \(0.451998\pi\)
\(390\) −0.587506 0.702896i −0.0297495 0.0355925i
\(391\) −7.03938 + 16.7893i −0.355997 + 0.849070i
\(392\) −47.4779 + 43.0470i −2.39799 + 2.17420i
\(393\) −1.32424 + 2.87577i −0.0667992 + 0.145063i
\(394\) 23.8534 33.7209i 1.20172 1.69883i
\(395\) −1.06350 + 0.527316i −0.0535105 + 0.0265322i
\(396\) 1.21186 + 4.01054i 0.0608983 + 0.201537i
\(397\) 2.61224 0.973538i 0.131105 0.0488605i −0.282811 0.959176i \(-0.591267\pi\)
0.413916 + 0.910315i \(0.364161\pi\)
\(398\) 53.8638 54.8017i 2.69995 2.74696i
\(399\) −1.07659 + 0.828560i −0.0538969 + 0.0414799i
\(400\) 50.1895 + 82.4866i 2.50947 + 4.12433i
\(401\) −12.3668 + 10.4581i −0.617569 + 0.522252i −0.899352 0.437226i \(-0.855961\pi\)
0.281782 + 0.959478i \(0.409074\pi\)
\(402\) 10.4323 6.59696i 0.520314 0.329026i
\(403\) −15.9208 8.59099i −0.793071 0.427947i
\(404\) 43.1651 + 61.0213i 2.14754 + 3.03592i
\(405\) 1.89129 0.352219i 0.0939790 0.0175019i
\(406\) −1.31160 + 9.05512i −0.0650936 + 0.449398i
\(407\) 0.618304 + 0.0786884i 0.0306482 + 0.00390044i
\(408\) −25.8241 11.7119i −1.27848 0.579827i
\(409\) 5.13103 10.2005i 0.253713 0.504380i −0.730154 0.683283i \(-0.760552\pi\)
0.983867 + 0.178903i \(0.0572548\pi\)
\(410\) −2.11294 + 0.0486385i −0.104350 + 0.00240208i
\(411\) 1.15436 5.65443i 0.0569403 0.278912i
\(412\) 26.5461 + 61.3252i 1.30783 + 3.02127i
\(413\) 1.50064 + 1.49203i 0.0738417 + 0.0734181i
\(414\) 15.9815 + 13.2025i 0.785448 + 0.648866i
\(415\) 1.60203 0.912684i 0.0786407 0.0448019i
\(416\) −119.363 25.0843i −5.85223 1.22986i
\(417\) 2.79236 3.67177i 0.136742 0.179808i
\(418\) 2.22504 + 0.742829i 0.108830 + 0.0363330i
\(419\) −31.5689 2.54851i −1.54224 0.124503i −0.720135 0.693834i \(-0.755920\pi\)
−0.822108 + 0.569331i \(0.807202\pi\)
\(420\) 0.200322 0.547112i 0.00977469 0.0266963i
\(421\) 2.46534 32.8977i 0.120153 1.60334i −0.533004 0.846113i \(-0.678937\pi\)
0.653157 0.757223i \(-0.273444\pi\)
\(422\) 59.4515 6.17945i 2.89406 0.300811i
\(423\) 22.7820 + 8.79035i 1.10770 + 0.427402i
\(424\) 25.5013 7.86612i 1.23845 0.382012i
\(425\) 32.0082 14.5166i 1.55263 0.704159i
\(426\) 0.408744 10.1429i 0.0198037 0.491424i
\(427\) −10.5910 9.82705i −0.512536 0.475564i
\(428\) 27.9934 6.22008i 1.35311 0.300659i
\(429\) −0.300793 + 0.124086i −0.0145224 + 0.00599093i
\(430\) 4.72288 + 3.22001i 0.227758 + 0.155283i
\(431\) −6.12725 3.68003i −0.295139 0.177261i 0.359618 0.933100i \(-0.382907\pi\)
−0.654758 + 0.755839i \(0.727229\pi\)
\(432\) −27.0232 + 30.8588i −1.30015 + 1.48469i
\(433\) 7.52135 + 28.3966i 0.361453 + 1.36465i 0.865471 + 0.500959i \(0.167019\pi\)
−0.504018 + 0.863693i \(0.668145\pi\)
\(434\) −0.442132 15.3640i −0.0212230 0.737496i
\(435\) 0.0843297 + 0.238795i 0.00404330 + 0.0114493i
\(436\) −20.4009 41.7467i −0.977026 1.99931i
\(437\) 8.38559 2.27279i 0.401137 0.108722i
\(438\) 2.55892 + 4.94454i 0.122270 + 0.236259i
\(439\) −6.65150 + 7.95789i −0.317459 + 0.379809i −0.902133 0.431459i \(-0.857999\pi\)
0.584674 + 0.811268i \(0.301222\pi\)
\(440\) −0.648704 + 0.159891i −0.0309258 + 0.00762252i
\(441\) 15.6561 5.22678i 0.745529 0.248894i
\(442\) −24.0208 + 70.5963i −1.14256 + 3.35792i
\(443\) −18.0499 3.36146i −0.857575 0.159708i −0.264036 0.964513i \(-0.585054\pi\)
−0.593539 + 0.804805i \(0.702270\pi\)
\(444\) 2.26461 + 4.91790i 0.107474 + 0.233393i
\(445\) 1.67470 + 0.713524i 0.0793886 + 0.0338243i
\(446\) 1.33698 + 1.80068i 0.0633081 + 0.0852649i
\(447\) 1.87802 + 2.93236i 0.0888271 + 0.138696i
\(448\) −18.6299 56.8910i −0.880179 2.68785i
\(449\) −6.28658 + 5.96918i −0.296682 + 0.281703i −0.822344 0.568991i \(-0.807334\pi\)
0.525662 + 0.850693i \(0.323818\pi\)
\(450\) −5.28065 39.6695i −0.248932 1.87004i
\(451\) −0.208853 + 0.721044i −0.00983450 + 0.0339526i
\(452\) −0.472829 82.1755i −0.0222400 3.86521i
\(453\) 2.92751 0.202455i 0.137547 0.00951216i
\(454\) −21.6659 + 33.8293i −1.01683 + 1.58769i
\(455\) −0.985125 0.254871i −0.0461834 0.0119486i
\(456\) 3.16284 + 13.1575i 0.148113 + 0.616156i
\(457\) −8.11313 + 5.80937i −0.379516 + 0.271751i −0.755866 0.654727i \(-0.772784\pi\)
0.376349 + 0.926478i \(0.377179\pi\)
\(458\) 3.46904 + 40.0941i 0.162098 + 1.87347i
\(459\) 9.96503 + 11.1186i 0.465128 + 0.518974i
\(460\) −2.51865 + 2.74598i −0.117433 + 0.128032i
\(461\) 1.01583 9.25494i 0.0473118 0.431046i −0.946729 0.322033i \(-0.895634\pi\)
0.994040 0.109013i \(-0.0347690\pi\)
\(462\) −0.219082 0.168609i −0.0101926 0.00784441i
\(463\) −1.21336 + 0.168629i −0.0563898 + 0.00783686i −0.165793 0.986161i \(-0.553018\pi\)
0.109403 + 0.993997i \(0.465106\pi\)
\(464\) 47.8663 + 30.2688i 2.22214 + 1.40519i
\(465\) −0.208461 0.370856i −0.00966713 0.0171980i
\(466\) −32.4637 40.7082i −1.50385 1.88577i
\(467\) −7.15322 + 12.0669i −0.331011 + 0.558389i −0.979151 0.203132i \(-0.934888\pi\)
0.648140 + 0.761521i \(0.275547\pi\)
\(468\) 51.6786 + 37.0042i 2.38884 + 1.71052i
\(469\) 5.15544 12.7040i 0.238056 0.586617i
\(470\) −2.39113 + 5.35397i −0.110294 + 0.246960i
\(471\) −1.34983 + 0.688753i −0.0621970 + 0.0317360i
\(472\) 19.6660 7.58806i 0.905203 0.349269i
\(473\) 1.59460 1.25671i 0.0733196 0.0577834i
\(474\) −3.69930 + 3.20208i −0.169915 + 0.147076i
\(475\) −14.8517 7.79475i −0.681441 0.357648i
\(476\) −46.5223 + 9.21908i −2.13235 + 0.422556i
\(477\) −6.82770 0.789196i −0.312619 0.0361348i
\(478\) −30.8307 + 63.0894i −1.41016 + 2.88564i
\(479\) −6.39715 + 33.2853i −0.292293 + 1.52084i 0.475253 + 0.879849i \(0.342356\pi\)
−0.767547 + 0.640993i \(0.778523\pi\)
\(480\) −2.05715 1.99880i −0.0938954 0.0912322i
\(481\) 8.16176 4.77502i 0.372144 0.217722i
\(482\) 34.1311 45.9686i 1.55463 2.09381i
\(483\) −1.02147 0.0706409i −0.0464786 0.00321427i
\(484\) 4.12009 65.0094i 0.187277 2.95497i
\(485\) −2.13169 0.794444i −0.0967950 0.0360739i
\(486\) 23.2692 10.8778i 1.05551 0.493427i
\(487\) 22.1098 + 20.0464i 1.00189 + 0.908388i 0.995796 0.0915934i \(-0.0291960\pi\)
0.00609319 + 0.999981i \(0.498060\pi\)
\(488\) −132.400 + 56.4106i −5.99349 + 2.55359i
\(489\) −5.62279 3.28960i −0.254272 0.148761i
\(490\) 1.05881 + 3.81937i 0.0478322 + 0.172541i
\(491\) 9.43333 + 25.7640i 0.425720 + 1.16271i 0.950296 + 0.311349i \(0.100781\pi\)
−0.524576 + 0.851364i \(0.675776\pi\)
\(492\) −6.27374 + 1.77815i −0.282842 + 0.0801651i
\(493\) 13.0376 15.9682i 0.587186 0.719172i
\(494\) 33.6242 11.6572i 1.51283 0.524481i
\(495\) 0.169515 + 0.0295550i 0.00761914 + 0.00132840i
\(496\) −87.9489 36.2815i −3.94902 1.62909i
\(497\) −6.18995 9.42448i −0.277657 0.422746i
\(498\) 5.45037 5.29578i 0.244237 0.237309i
\(499\) −1.61613 + 5.82974i −0.0723478 + 0.260975i −0.990955 0.134198i \(-0.957154\pi\)
0.918607 + 0.395173i \(0.129315\pi\)
\(500\) 14.4271 1.16468i 0.645199 0.0520859i
\(501\) −2.74833 0.677402i −0.122786 0.0302641i
\(502\) −35.7236 + 26.2068i −1.59442 + 1.16967i
\(503\) 16.4059 + 17.8867i 0.731505 + 0.797529i 0.985500 0.169676i \(-0.0542723\pi\)
−0.253995 + 0.967205i \(0.581745\pi\)
\(504\) −3.50242 + 35.6923i −0.156010 + 1.58986i
\(505\) 3.03557 0.457538i 0.135081 0.0203602i
\(506\) 0.884003 + 1.53114i 0.0392987 + 0.0680674i
\(507\) −0.145173 + 0.251446i −0.00644734 + 0.0111671i
\(508\) 23.0715 58.7853i 1.02363 2.60818i
\(509\) 10.2738 5.39211i 0.455379 0.239001i −0.221407 0.975182i \(-0.571065\pi\)
0.676785 + 0.736180i \(0.263373\pi\)
\(510\) −1.36473 + 1.10124i −0.0604314 + 0.0487639i
\(511\) 5.50847 + 2.81070i 0.243680 + 0.124338i
\(512\) −204.387 21.2442i −9.03271 0.938868i
\(513\) 1.26422 7.01235i 0.0558167 0.309603i
\(514\) 43.7965 26.3041i 1.93178 1.16023i
\(515\) 2.73999 + 0.157829i 0.120739 + 0.00695477i
\(516\) 16.5956 + 5.96832i 0.730582 + 0.262741i
\(517\) 1.55891 + 1.38108i 0.0685609 + 0.0607397i
\(518\) 6.98065 + 3.97690i 0.306712 + 0.174735i
\(519\) −2.21683 5.84530i −0.0973080 0.256580i
\(520\) −6.31971 + 7.92467i −0.277138 + 0.347520i
\(521\) −42.9988 6.98799i −1.88381 0.306149i −0.893948 0.448170i \(-0.852076\pi\)
−0.989864 + 0.142021i \(0.954640\pi\)
\(522\) −13.1110 19.4700i −0.573852 0.852180i
\(523\) 0.862995 3.25821i 0.0377361 0.142471i −0.945170 0.326579i \(-0.894104\pi\)
0.982906 + 0.184107i \(0.0589394\pi\)
\(524\) 51.3568 + 12.0332i 2.24353 + 0.525671i
\(525\) 1.35282 + 1.44128i 0.0590420 + 0.0629024i
\(526\) 42.4069 6.89179i 1.84903 0.300496i
\(527\) −16.9689 + 30.1881i −0.739179 + 1.31501i
\(528\) −1.50592 + 0.812605i −0.0655366 + 0.0353641i
\(529\) −14.7394 7.30824i −0.640843 0.317749i
\(530\) 0.274116 1.62750i 0.0119068 0.0706942i
\(531\) −5.42314 0.249807i −0.235344 0.0108407i
\(532\) 17.1131 + 14.8129i 0.741947 + 0.642222i
\(533\) 4.16073 + 10.6014i 0.180221 + 0.459196i
\(534\) 7.41919 + 1.11826i 0.321060 + 0.0483920i
\(535\) 0.288431 1.14189i 0.0124700 0.0493684i
\(536\) −94.6047 98.4940i −4.08630 4.25429i
\(537\) 0.380122 0.694844i 0.0164035 0.0299847i
\(538\) −64.0495 30.8446i −2.76137 1.32981i
\(539\) 1.40691 + 0.0485900i 0.0605998 + 0.00209292i
\(540\) 1.14911 + 2.83163i 0.0494498 + 0.121854i
\(541\) −2.35390 + 9.79230i −0.101202 + 0.421004i −0.999844 0.0176800i \(-0.994372\pi\)
0.898642 + 0.438684i \(0.144555\pi\)
\(542\) −2.37982 + 4.47166i −0.102222 + 0.192074i
\(543\) −2.05305 0.0472599i −0.0881046 0.00202812i
\(544\) −51.9545 + 227.628i −2.22753 + 9.75946i
\(545\) −1.90823 0.0219603i −0.0817397 0.000940675i
\(546\) −4.19407 −0.179489
\(547\) −22.8195 5.12562i −0.975690 0.219156i
\(548\) −96.1492 −4.10729
\(549\) 37.0630 + 0.426527i 1.58181 + 0.0182037i
\(550\) 0.759514 3.32765i 0.0323858 0.141891i
\(551\) −9.83536 0.226404i −0.419000 0.00964513i
\(552\) −4.79174 + 9.00362i −0.203950 + 0.383219i
\(553\) −1.27020 + 5.28406i −0.0540143 + 0.224701i
\(554\) 17.9212 + 44.1613i 0.761398 + 1.87623i
\(555\) 0.222237 + 0.00767533i 0.00943342 + 0.000325799i
\(556\) −69.2433 33.3458i −2.93657 1.41418i
\(557\) 12.0393 22.0072i 0.510120 0.932474i −0.488098 0.872789i \(-0.662309\pi\)
0.998217 0.0596851i \(-0.0190097\pi\)
\(558\) 27.3155 + 28.4385i 1.15636 + 1.20390i
\(559\) 7.54322 29.8635i 0.319044 1.26309i
\(560\) −5.29154 0.797571i −0.223608 0.0337035i
\(561\) 0.227558 + 0.579809i 0.00960752 + 0.0244796i
\(562\) 6.80149 + 5.88730i 0.286904 + 0.248341i
\(563\) 1.39091 + 0.0640698i 0.0586199 + 0.00270022i 0.0753045 0.997161i \(-0.476007\pi\)
−0.0166847 + 0.999861i \(0.505311\pi\)
\(564\) −3.00476 + 17.8401i −0.126523 + 0.751205i
\(565\) −3.02379 1.49929i −0.127212 0.0630756i
\(566\) 75.4415 40.7088i 3.17104 1.71112i
\(567\) 4.31574 7.67778i 0.181244 0.322437i
\(568\) −110.862 + 18.0168i −4.65165 + 0.755967i
\(569\) −1.56384 1.66609i −0.0655596 0.0698461i 0.695510 0.718517i \(-0.255179\pi\)
−0.761069 + 0.648671i \(0.775325\pi\)
\(570\) 0.814822 + 0.190917i 0.0341292 + 0.00799663i
\(571\) 9.81190 37.0445i 0.410615 1.55026i −0.372286 0.928118i \(-0.621426\pi\)
0.782901 0.622146i \(-0.213739\pi\)
\(572\) 3.02797 + 4.49659i 0.126606 + 0.188012i
\(573\) 6.45900 + 1.04969i 0.269829 + 0.0438514i
\(574\) −6.03291 + 7.56503i −0.251809 + 0.315758i
\(575\) −4.48283 11.8202i −0.186947 0.492938i
\(576\) 133.442 + 76.0224i 5.56008 + 3.16760i
\(577\) −16.2617 14.4066i −0.676985 0.599756i 0.252950 0.967479i \(-0.418599\pi\)
−0.929935 + 0.367723i \(0.880138\pi\)
\(578\) 89.2088 + 32.0824i 3.71060 + 1.33445i
\(579\) −5.40129 0.311125i −0.224470 0.0129299i
\(580\) 3.61702 2.17238i 0.150189 0.0902033i
\(581\) 1.49767 8.30726i 0.0621340 0.344643i
\(582\) −9.32625 0.969378i −0.386585 0.0401820i
\(583\) −0.522161 0.266433i −0.0216257 0.0110345i
\(584\) 47.9395 38.6838i 1.98375 1.60075i
\(585\) 2.31149 1.21316i 0.0955684 0.0501582i
\(586\) −6.11729 + 15.5866i −0.252703 + 0.643877i
\(587\) 4.89720 8.48220i 0.202129 0.350098i −0.747085 0.664728i \(-0.768547\pi\)
0.949214 + 0.314631i \(0.101881\pi\)
\(588\) 6.11424 + 10.5902i 0.252147 + 0.436732i
\(589\) 16.3421 2.46318i 0.673366 0.101494i
\(590\) 0.127310 1.29739i 0.00524129 0.0534126i
\(591\) −3.53793 3.85726i −0.145531 0.158666i
\(592\) 40.0962 29.4145i 1.64794 1.20893i
\(593\) 35.1656 + 8.66754i 1.44408 + 0.355933i 0.882039 0.471177i \(-0.156171\pi\)
0.562040 + 0.827110i \(0.310017\pi\)
\(594\) 1.44529 0.116676i 0.0593011 0.00478728i
\(595\) −0.520366 + 1.87708i −0.0213329 + 0.0769527i
\(596\) 41.6089 40.4287i 1.70437 1.65603i
\(597\) −5.34545 8.13869i −0.218775 0.333094i
\(598\) 24.7954 + 10.2288i 1.01396 + 0.418289i
\(599\) 16.3897 + 2.85755i 0.669666 + 0.116756i 0.496367 0.868113i \(-0.334667\pi\)
0.173299 + 0.984869i \(0.444557\pi\)
\(600\) 18.6040 6.44979i 0.759503 0.263312i
\(601\) 1.46385 1.79289i 0.0597118 0.0731336i −0.743885 0.668307i \(-0.767019\pi\)
0.803597 + 0.595173i \(0.202917\pi\)
\(602\) 25.1779 7.13610i 1.02617 0.290846i
\(603\) 12.0933 + 33.0287i 0.492476 + 1.34503i
\(604\) −13.0609 47.1137i −0.531441 1.91703i
\(605\) −2.30919 1.35099i −0.0938820 0.0549254i
\(606\) 11.6405 4.95954i 0.472862 0.201468i
\(607\) −18.0401 16.3565i −0.732224 0.663889i 0.217826 0.975988i \(-0.430103\pi\)
−0.950050 + 0.312099i \(0.898968\pi\)
\(608\) 100.940 47.1869i 4.09365 1.91368i
\(609\) 1.08643 + 0.404892i 0.0440242 + 0.0164071i
\(610\) −0.562948 + 8.88256i −0.0227931 + 0.359644i
\(611\) 31.5211 + 2.17987i 1.27521 + 0.0881883i
\(612\) 72.5326 97.6887i 2.93196 3.94883i
\(613\) 19.0390 11.1387i 0.768977 0.449888i −0.0676170 0.997711i \(-0.521540\pi\)
0.836594 + 0.547823i \(0.184543\pi\)
\(614\) 15.2473 + 14.8148i 0.615329 + 0.597876i
\(615\) −0.0505474 + 0.263005i −0.00203827 + 0.0106054i
\(616\) −1.34299 + 2.74819i −0.0541108 + 0.110728i
\(617\) −14.5056 1.67666i −0.583973 0.0674999i −0.182236 0.983255i \(-0.558333\pi\)
−0.401737 + 0.915755i \(0.631593\pi\)
\(618\) 11.0963 2.19890i 0.446360 0.0884529i
\(619\) 18.1545 + 9.52823i 0.729692 + 0.382972i 0.788285 0.615310i \(-0.210969\pi\)
−0.0585931 + 0.998282i \(0.518661\pi\)
\(620\) −5.35910 + 4.63878i −0.215227 + 0.186298i
\(621\) 4.21796 3.32419i 0.169261 0.133395i
\(622\) 17.7716 6.85709i 0.712575 0.274944i
\(623\) 7.42351 3.78785i 0.297417 0.151757i
\(624\) −10.5863 + 23.7037i −0.423789 + 0.948906i
\(625\) −9.06474 + 22.3373i −0.362590 + 0.893492i
\(626\) −30.6400 21.9396i −1.22462 0.876883i
\(627\) 0.151578 0.255700i 0.00605344 0.0102117i
\(628\) 15.7415 + 19.7392i 0.628154 + 0.787681i
\(629\) −8.86957 15.7791i −0.353653 0.629155i
\(630\) 1.87459 + 1.18542i 0.0746855 + 0.0472282i
\(631\) 12.2762 1.70610i 0.488706 0.0679187i 0.110954 0.993826i \(-0.464609\pi\)
0.377752 + 0.925907i \(0.376697\pi\)
\(632\) 42.9003 + 33.0167i 1.70648 + 1.31334i
\(633\) 0.826382 7.52896i 0.0328457 0.299249i
\(634\) 31.5523 34.4001i 1.25310 1.36620i
\(635\) −1.73106 1.93146i −0.0686949 0.0766475i
\(636\) −0.438943 5.07317i −0.0174052 0.201164i
\(637\) 17.3644 12.4337i 0.688002 0.492641i
\(638\) −0.467916 1.94654i −0.0185250 0.0770643i
\(639\) 28.0047 + 7.24537i 1.10785 + 0.286622i
\(640\) −11.2322 + 17.5382i −0.443993 + 0.693256i
\(641\) 27.2592 1.88513i 1.07667 0.0744583i 0.480252 0.877130i \(-0.340545\pi\)
0.596421 + 0.802672i \(0.296589\pi\)
\(642\) −0.0279310 4.85427i −0.00110235 0.191583i
\(643\) −5.76502 + 19.9032i −0.227350 + 0.784904i 0.763010 + 0.646387i \(0.223721\pi\)
−0.990360 + 0.138517i \(0.955766\pi\)
\(644\) 2.25097 + 16.9098i 0.0887007 + 0.666341i
\(645\) 0.525272 0.498751i 0.0206825 0.0196383i
\(646\) −21.2005 64.7410i −0.834122 2.54720i
\(647\) −6.03935 9.42991i −0.237431 0.370728i 0.702731 0.711456i \(-0.251964\pi\)
−0.940162 + 0.340728i \(0.889327\pi\)
\(648\) −52.3008 70.4400i −2.05457 2.76715i
\(649\) −0.425975 0.181491i −0.0167210 0.00712414i
\(650\) −21.6588 47.0349i −0.849527 1.84486i
\(651\) −1.91478 0.356593i −0.0750462 0.0139760i
\(652\) −34.9609 + 102.749i −1.36917 + 4.02395i
\(653\) −13.4381 + 4.48629i −0.525873 + 0.175562i −0.567195 0.823584i \(-0.691971\pi\)
0.0413217 + 0.999146i \(0.486843\pi\)
\(654\) −7.63710 + 1.88238i −0.298634 + 0.0736067i
\(655\) 1.38935 1.66223i 0.0542864 0.0649486i
\(656\) 27.5277 + 53.1912i 1.07478 + 2.07677i
\(657\) −15.3126 + 4.15026i −0.597403 + 0.161917i
\(658\) 11.7866 + 24.1192i 0.459490 + 0.940263i
\(659\) 16.3584 + 46.3217i 0.637232 + 1.80444i 0.592693 + 0.805428i \(0.298065\pi\)
0.0445390 + 0.999008i \(0.485818\pi\)
\(660\) 0.00366709 + 0.127431i 0.000142741 + 0.00496024i
\(661\) 3.72644 + 14.0691i 0.144942 + 0.547223i 0.999607 + 0.0280426i \(0.00892742\pi\)
−0.854665 + 0.519180i \(0.826237\pi\)
\(662\) 20.7897 23.7406i 0.808016 0.922704i
\(663\) 8.10073 + 4.86530i 0.314606 + 0.188953i
\(664\) −69.4731 47.3660i −2.69608 1.83816i
\(665\) 0.859336 0.354501i 0.0333236 0.0137470i
\(666\) −20.1202 + 4.47066i −0.779642 + 0.173235i
\(667\) −5.43549 5.04340i −0.210463 0.195281i
\(668\) −1.89891 + 47.1209i −0.0734709 + 1.82316i
\(669\) 0.258824 0.117384i 0.0100067 0.00453833i
\(670\) −8.07074 + 2.48949i −0.311800 + 0.0961775i
\(671\) 2.94935 + 1.13800i 0.113859 + 0.0439318i
\(672\) −13.0612 + 1.35760i −0.503848 + 0.0523704i
\(673\) −3.25477 + 43.4319i −0.125462 + 1.67418i 0.479208 + 0.877701i \(0.340924\pi\)
−0.604670 + 0.796476i \(0.706695\pi\)
\(674\) −12.8311 + 35.0440i −0.494237 + 1.34984i
\(675\) −10.3343 0.834267i −0.397766 0.0321110i
\(676\) 4.58838 + 1.53183i 0.176476 + 0.0589164i
\(677\) −27.6901 + 36.4107i −1.06422 + 1.39938i −0.152624 + 0.988284i \(0.548772\pi\)
−0.911594 + 0.411093i \(0.865147\pi\)
\(678\) −13.6137 2.86094i −0.522830 0.109874i
\(679\) −9.04951 + 5.15554i −0.347288 + 0.197851i
\(680\) 14.9588 + 12.3576i 0.573643 + 0.473892i
\(681\) 3.60993 + 3.58922i 0.138333 + 0.137539i
\(682\) 1.33602 + 3.08638i 0.0511587 + 0.118183i
\(683\) 5.22396 25.5887i 0.199889 0.979123i −0.748772 0.662828i \(-0.769356\pi\)
0.948661 0.316295i \(-0.102439\pi\)
\(684\) −58.0503 + 1.33628i −2.21961 + 0.0510940i
\(685\) −1.77454 + 3.52777i −0.0678016 + 0.134789i
\(686\) 36.6552 + 16.6241i 1.39950 + 0.634712i
\(687\) 5.05883 + 0.643811i 0.193006 + 0.0245629i
\(688\) 23.2204 160.310i 0.885268 6.11178i
\(689\) −8.74303 + 1.62823i −0.333083 + 0.0620306i
\(690\) 0.364265 + 0.514952i 0.0138673 + 0.0196039i
\(691\) −15.9429 8.60294i −0.606498 0.327271i 0.142549 0.989788i \(-0.454470\pi\)
−0.749047 + 0.662516i \(0.769488\pi\)
\(692\) −88.0303 + 55.6670i −3.34641 + 2.11614i
\(693\) 0.601531 0.508689i 0.0228503 0.0193235i
\(694\) −6.02193 9.89707i −0.228589 0.375688i
\(695\) −2.50144 + 1.92514i −0.0948850 + 0.0730249i
\(696\) 8.09568 8.23664i 0.306866 0.312209i
\(697\) 20.4282 7.61323i 0.773772 0.288372i
\(698\) 14.0100 + 46.3649i 0.530288 + 1.75494i
\(699\) −5.91119 + 2.93095i −0.223582 + 0.110859i
\(700\) 19.0189 26.8865i 0.718846 1.01621i
\(701\) 11.7987 25.6225i 0.445631 0.967747i −0.545896 0.837853i \(-0.683811\pi\)
0.991528 0.129895i \(-0.0414639\pi\)
\(702\) 16.2967 14.7758i 0.615079 0.557677i
\(703\) −3.34019 + 7.96652i −0.125978 + 0.300463i
\(704\) 8.40032 + 10.0502i 0.316599 + 0.378781i
\(705\) 0.599109 + 0.439505i 0.0225637 + 0.0165527i
\(706\) 5.25789 + 47.9033i 0.197883 + 1.80287i
\(707\) 7.30547 12.0066i 0.274750 0.451553i
\(708\) −0.622339 3.97367i −0.0233889 0.149340i
\(709\) 1.80576 + 2.31859i 0.0678166 + 0.0870763i 0.821661 0.569977i \(-0.193048\pi\)
−0.753844 + 0.657053i \(0.771803\pi\)
\(710\) −2.08555 + 6.62559i −0.0782692 + 0.248654i
\(711\) −6.69139 12.2315i −0.250947 0.458718i
\(712\) −4.29704 82.9050i −0.161038 3.10700i
\(713\) 10.4506 + 6.77812i 0.391376 + 0.253843i
\(714\) −0.138577 + 8.02732i −0.00518613 + 0.300415i
\(715\) 0.220867 0.0281086i 0.00825996 0.00105120i
\(716\) −12.6093 3.88946i −0.471233 0.145356i
\(717\) 6.98862 + 5.50775i 0.260995 + 0.205691i
\(718\) 37.7575 1.73923i 1.40910 0.0649076i
\(719\) 4.10208 33.7837i 0.152982 1.25992i −0.690726 0.723117i \(-0.742709\pi\)
0.843708 0.536803i \(-0.180368\pi\)
\(720\) 11.4313 7.60253i 0.426020 0.283330i
\(721\) 8.59928 9.16152i 0.320254 0.341193i
\(722\) 11.7719 17.4814i 0.438104 0.650592i
\(723\) −4.77973 5.45815i −0.177760 0.202991i
\(724\) 6.07040 + 33.6712i 0.225605 + 1.25138i
\(725\) 1.06975 + 14.2748i 0.0397294 + 0.530152i
\(726\) −10.6091 3.00691i −0.393740 0.111597i
\(727\) −16.8583 + 11.7802i −0.625239 + 0.436904i −0.842117 0.539294i \(-0.818691\pi\)
0.216878 + 0.976199i \(0.430413\pi\)
\(728\) 9.28217 + 45.4671i 0.344020 + 1.68512i
\(729\) 4.52729 + 19.8353i 0.167677 + 0.734642i
\(730\) −0.804925 3.72362i −0.0297916 0.137817i
\(731\) −56.9086 15.4242i −2.10484 0.570486i
\(732\) 5.18287 + 26.9672i 0.191564 + 0.996736i
\(733\) 1.09954 1.67410i 0.0406125 0.0618343i −0.814961 0.579516i \(-0.803242\pi\)
0.855573 + 0.517682i \(0.173205\pi\)
\(734\) 5.48210 3.73763i 0.202348 0.137958i
\(735\) 0.501405 0.0288819i 0.0184946 0.00106532i
\(736\) 80.5295 + 23.8287i 2.96836 + 0.878338i
\(737\) −0.0172607 + 2.99983i −0.000635807 + 0.110500i
\(738\) −1.57008 24.7738i −0.0577955 0.911935i
\(739\) −10.3873 + 34.3758i −0.382103 + 1.26453i 0.527678 + 0.849444i \(0.323063\pi\)
−0.909781 + 0.415089i \(0.863750\pi\)
\(740\) −0.615323 3.65335i −0.0226197 0.134300i
\(741\) −0.543572 4.47672i −0.0199686 0.164456i
\(742\) −4.91219 5.74139i −0.180332 0.210773i
\(743\) 21.5804 20.0237i 0.791707 0.734597i −0.176621 0.984279i \(-0.556517\pi\)
0.968328 + 0.249682i \(0.0803262\pi\)
\(744\) −11.0212 + 15.9669i −0.404056 + 0.585377i
\(745\) −0.715417 2.27281i −0.0262108 0.0832694i
\(746\) −29.2507 + 30.4532i −1.07094 + 1.11497i
\(747\) 11.4686 + 18.3693i 0.419615 + 0.672099i
\(748\) 8.70639 5.64688i 0.318337 0.206470i
\(749\) −3.16433