Properties

Label 637.2.bl.a.53.4
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.4
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.98190 - 1.35124i) q^{2} +(0.272118 + 0.252488i) q^{3} +(1.37140 + 3.49428i) q^{4} +(-2.27380 + 0.701373i) q^{5} +(-0.198139 - 0.868102i) q^{6} +(-1.25655 + 2.32832i) q^{7} +(0.936090 - 4.10128i) q^{8} +(-0.213893 - 2.85420i) q^{9} +O(q^{10})\) \(q+(-1.98190 - 1.35124i) q^{2} +(0.272118 + 0.252488i) q^{3} +(1.37140 + 3.49428i) q^{4} +(-2.27380 + 0.701373i) q^{5} +(-0.198139 - 0.868102i) q^{6} +(-1.25655 + 2.32832i) q^{7} +(0.936090 - 4.10128i) q^{8} +(-0.213893 - 2.85420i) q^{9} +(5.45416 + 1.68238i) q^{10} +(-0.208316 + 2.77978i) q^{11} +(-0.509082 + 1.29712i) q^{12} +(0.900969 - 0.433884i) q^{13} +(5.63647 - 2.91660i) q^{14} +(-0.795829 - 0.383251i) q^{15} +(-1.89363 + 1.75703i) q^{16} +(0.248311 - 0.0374268i) q^{17} +(-3.43278 + 5.94575i) q^{18} +(1.18625 + 2.05465i) q^{19} +(-5.56909 - 6.98341i) q^{20} +(-0.929804 + 0.316313i) q^{21} +(4.16900 - 5.22776i) q^{22} +(-1.18695 - 0.178904i) q^{23} +(1.29025 - 0.879679i) q^{24} +(0.547031 - 0.372960i) q^{25} +(-2.37191 - 0.357508i) q^{26} +(1.35679 - 1.70136i) q^{27} +(-9.85904 - 1.19767i) q^{28} +(-5.16777 - 6.48017i) q^{29} +(1.05939 + 1.83492i) q^{30} +(1.55569 - 2.69454i) q^{31} +(-2.19240 + 0.330450i) q^{32} +(-0.758549 + 0.703830i) q^{33} +(-0.542699 - 0.261350i) q^{34} +(1.22412 - 6.17544i) q^{35} +(9.68003 - 4.66166i) q^{36} +(0.822366 - 2.09535i) q^{37} +(0.425284 - 5.67502i) q^{38} +(0.354720 + 0.109417i) q^{39} +(0.748049 + 9.98202i) q^{40} +(2.43938 - 10.6876i) q^{41} +(2.27019 + 0.629483i) q^{42} +(0.474634 + 2.07951i) q^{43} +(-9.99901 + 3.08429i) q^{44} +(2.48821 + 6.33985i) q^{45} +(2.11067 + 1.95842i) q^{46} +(-3.75244 - 2.55837i) q^{47} -0.958918 q^{48} +(-3.84216 - 5.85131i) q^{49} -1.58812 q^{50} +(0.0770196 + 0.0525111i) q^{51} +(2.75170 + 2.55321i) q^{52} +(-3.22506 - 8.21732i) q^{53} +(-4.98796 + 1.53858i) q^{54} +(-1.47600 - 6.46676i) q^{55} +(8.37285 + 7.33298i) q^{56} +(-0.195975 + 0.858623i) q^{57} +(1.48575 + 19.8259i) q^{58} +(-3.85458 - 1.18898i) q^{59} +(0.247783 - 3.30644i) q^{60} +(1.23489 - 3.14645i) q^{61} +(-6.72418 + 3.23819i) q^{62} +(6.91426 + 3.08843i) q^{63} +(9.44640 + 4.54915i) q^{64} +(-1.74431 + 1.61848i) q^{65} +(2.45441 - 0.369942i) q^{66} +(-6.14457 + 10.6427i) q^{67} +(0.471314 + 0.816339i) q^{68} +(-0.277819 - 0.348374i) q^{69} +(-10.7706 + 10.5850i) q^{70} +(1.14037 - 1.42998i) q^{71} +(-11.9061 - 1.79455i) q^{72} +(4.18537 - 2.85354i) q^{73} +(-4.46116 + 3.04157i) q^{74} +(0.243025 + 0.0366301i) q^{75} +(-5.55270 + 6.96286i) q^{76} +(-6.21046 - 3.97796i) q^{77} +(-0.555172 - 0.696164i) q^{78} +(-2.13094 - 3.69090i) q^{79} +(3.07339 - 5.32326i) q^{80} +(-7.69192 + 1.15937i) q^{81} +(-19.2761 + 17.8856i) q^{82} +(-6.41850 - 3.09099i) q^{83} +(-2.38042 - 2.81520i) q^{84} +(-0.538358 + 0.259259i) q^{85} +(1.86923 - 4.76272i) q^{86} +(0.229928 - 3.06817i) q^{87} +(11.2057 + 3.45649i) q^{88} +(0.367411 + 4.90276i) q^{89} +(3.63525 - 15.9271i) q^{90} +(-0.121892 + 2.64294i) q^{91} +(-1.00265 - 4.39288i) q^{92} +(1.10367 - 0.340437i) q^{93} +(3.97999 + 10.1409i) q^{94} +(-4.13838 - 3.83985i) q^{95} +(-0.680025 - 0.463633i) q^{96} -16.3428 q^{97} +(-0.291718 + 16.7884i) q^{98} +7.97860 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} + O(q^{10}) \) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.98190 1.35124i −1.40141 0.955468i −0.999203 0.0399213i \(-0.987289\pi\)
−0.402211 0.915547i \(-0.631758\pi\)
\(3\) 0.272118 + 0.252488i 0.157107 + 0.145774i 0.754810 0.655944i \(-0.227729\pi\)
−0.597703 + 0.801718i \(0.703920\pi\)
\(4\) 1.37140 + 3.49428i 0.685702 + 1.74714i
\(5\) −2.27380 + 0.701373i −1.01687 + 0.313664i −0.758005 0.652249i \(-0.773826\pi\)
−0.258868 + 0.965913i \(0.583349\pi\)
\(6\) −0.198139 0.868102i −0.0808897 0.354401i
\(7\) −1.25655 + 2.32832i −0.474931 + 0.880023i
\(8\) 0.936090 4.10128i 0.330958 1.45002i
\(9\) −0.213893 2.85420i −0.0712975 0.951399i
\(10\) 5.45416 + 1.68238i 1.72476 + 0.532017i
\(11\) −0.208316 + 2.77978i −0.0628096 + 0.838135i 0.873470 + 0.486879i \(0.161865\pi\)
−0.936279 + 0.351257i \(0.885754\pi\)
\(12\) −0.509082 + 1.29712i −0.146959 + 0.374446i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) 5.63647 2.91660i 1.50641 0.779495i
\(15\) −0.795829 0.383251i −0.205482 0.0989550i
\(16\) −1.89363 + 1.75703i −0.473406 + 0.439257i
\(17\) 0.248311 0.0374268i 0.0602242 0.00907733i −0.118861 0.992911i \(-0.537924\pi\)
0.179085 + 0.983834i \(0.442686\pi\)
\(18\) −3.43278 + 5.94575i −0.809114 + 1.40143i
\(19\) 1.18625 + 2.05465i 0.272145 + 0.471370i 0.969411 0.245443i \(-0.0789335\pi\)
−0.697266 + 0.716813i \(0.745600\pi\)
\(20\) −5.56909 6.98341i −1.24529 1.56154i
\(21\) −0.929804 + 0.316313i −0.202900 + 0.0690252i
\(22\) 4.16900 5.22776i 0.888834 1.11456i
\(23\) −1.18695 0.178904i −0.247496 0.0373040i 0.0241225 0.999709i \(-0.492321\pi\)
−0.271619 + 0.962405i \(0.587559\pi\)
\(24\) 1.29025 0.879679i 0.263372 0.179564i
\(25\) 0.547031 0.372960i 0.109406 0.0745919i
\(26\) −2.37191 0.357508i −0.465170 0.0701130i
\(27\) 1.35679 1.70136i 0.261114 0.327427i
\(28\) −9.85904 1.19767i −1.86318 0.226338i
\(29\) −5.16777 6.48017i −0.959630 1.20334i −0.979069 0.203527i \(-0.934760\pi\)
0.0194393 0.999811i \(-0.493812\pi\)
\(30\) 1.05939 + 1.83492i 0.193417 + 0.335009i
\(31\) 1.55569 2.69454i 0.279410 0.483953i −0.691828 0.722062i \(-0.743194\pi\)
0.971238 + 0.238109i \(0.0765277\pi\)
\(32\) −2.19240 + 0.330450i −0.387564 + 0.0584159i
\(33\) −0.758549 + 0.703830i −0.132046 + 0.122521i
\(34\) −0.542699 0.261350i −0.0930721 0.0448212i
\(35\) 1.22412 6.17544i 0.206914 1.04384i
\(36\) 9.68003 4.66166i 1.61334 0.776943i
\(37\) 0.822366 2.09535i 0.135196 0.344474i −0.847203 0.531270i \(-0.821715\pi\)
0.982399 + 0.186796i \(0.0598103\pi\)
\(38\) 0.425284 5.67502i 0.0689902 0.920610i
\(39\) 0.354720 + 0.109417i 0.0568007 + 0.0175207i
\(40\) 0.748049 + 9.98202i 0.118277 + 1.57830i
\(41\) 2.43938 10.6876i 0.380968 1.66913i −0.313488 0.949592i \(-0.601497\pi\)
0.694455 0.719536i \(-0.255645\pi\)
\(42\) 2.27019 + 0.629483i 0.350298 + 0.0971314i
\(43\) 0.474634 + 2.07951i 0.0723811 + 0.317122i 0.998138 0.0609972i \(-0.0194281\pi\)
−0.925757 + 0.378119i \(0.876571\pi\)
\(44\) −9.99901 + 3.08429i −1.50741 + 0.464974i
\(45\) 2.48821 + 6.33985i 0.370920 + 0.945089i
\(46\) 2.11067 + 1.95842i 0.311202 + 0.288753i
\(47\) −3.75244 2.55837i −0.547349 0.373177i 0.257846 0.966186i \(-0.416987\pi\)
−0.805195 + 0.593010i \(0.797940\pi\)
\(48\) −0.958918 −0.138408
\(49\) −3.84216 5.85131i −0.548880 0.835901i
\(50\) −1.58812 −0.224594
\(51\) 0.0770196 + 0.0525111i 0.0107849 + 0.00735302i
\(52\) 2.75170 + 2.55321i 0.381593 + 0.354066i
\(53\) −3.22506 8.21732i −0.442996 1.12874i −0.961778 0.273830i \(-0.911710\pi\)
0.518782 0.854907i \(-0.326386\pi\)
\(54\) −4.98796 + 1.53858i −0.678775 + 0.209374i
\(55\) −1.47600 6.46676i −0.199023 0.871978i
\(56\) 8.37285 + 7.33298i 1.11887 + 0.979911i
\(57\) −0.195975 + 0.858623i −0.0259575 + 0.113727i
\(58\) 1.48575 + 19.8259i 0.195088 + 2.60327i
\(59\) −3.85458 1.18898i −0.501823 0.154792i 0.0335010 0.999439i \(-0.489334\pi\)
−0.535324 + 0.844647i \(0.679810\pi\)
\(60\) 0.247783 3.30644i 0.0319887 0.426860i
\(61\) 1.23489 3.14645i 0.158112 0.402862i −0.829763 0.558116i \(-0.811524\pi\)
0.987875 + 0.155254i \(0.0496197\pi\)
\(62\) −6.72418 + 3.23819i −0.853971 + 0.411251i
\(63\) 6.91426 + 3.08843i 0.871115 + 0.389106i
\(64\) 9.44640 + 4.54915i 1.18080 + 0.568643i
\(65\) −1.74431 + 1.61848i −0.216354 + 0.200748i
\(66\) 2.45441 0.369942i 0.302117 0.0455368i
\(67\) −6.14457 + 10.6427i −0.750679 + 1.30021i 0.196815 + 0.980441i \(0.436940\pi\)
−0.947494 + 0.319773i \(0.896393\pi\)
\(68\) 0.471314 + 0.816339i 0.0571552 + 0.0989957i
\(69\) −0.277819 0.348374i −0.0334455 0.0419393i
\(70\) −10.7706 + 10.5850i −1.28733 + 1.26515i
\(71\) 1.14037 1.42998i 0.135337 0.169707i −0.709545 0.704660i \(-0.751099\pi\)
0.844882 + 0.534953i \(0.179671\pi\)
\(72\) −11.9061 1.79455i −1.40315 0.211490i
\(73\) 4.18537 2.85354i 0.489860 0.333981i −0.293070 0.956091i \(-0.594677\pi\)
0.782930 + 0.622110i \(0.213724\pi\)
\(74\) −4.46116 + 3.04157i −0.518600 + 0.353575i
\(75\) 0.243025 + 0.0366301i 0.0280621 + 0.00422968i
\(76\) −5.55270 + 6.96286i −0.636938 + 0.798695i
\(77\) −6.21046 3.97796i −0.707748 0.453331i
\(78\) −0.555172 0.696164i −0.0628608 0.0788250i
\(79\) −2.13094 3.69090i −0.239750 0.415259i 0.720893 0.693047i \(-0.243732\pi\)
−0.960642 + 0.277788i \(0.910399\pi\)
\(80\) 3.07339 5.32326i 0.343615 0.595159i
\(81\) −7.69192 + 1.15937i −0.854658 + 0.128819i
\(82\) −19.2761 + 17.8856i −2.12869 + 1.97514i
\(83\) −6.41850 3.09099i −0.704522 0.339280i 0.0470853 0.998891i \(-0.485007\pi\)
−0.751607 + 0.659611i \(0.770721\pi\)
\(84\) −2.38042 2.81520i −0.259725 0.307164i
\(85\) −0.538358 + 0.259259i −0.0583931 + 0.0281206i
\(86\) 1.86923 4.76272i 0.201564 0.513577i
\(87\) 0.229928 3.06817i 0.0246508 0.328942i
\(88\) 11.2057 + 3.45649i 1.19453 + 0.368463i
\(89\) 0.367411 + 4.90276i 0.0389455 + 0.519692i 0.982227 + 0.187698i \(0.0601025\pi\)
−0.943281 + 0.331994i \(0.892278\pi\)
\(90\) 3.63525 15.9271i 0.383189 1.67886i
\(91\) −0.121892 + 2.64294i −0.0127777 + 0.277056i
\(92\) −1.00265 4.39288i −0.104533 0.457990i
\(93\) 1.10367 0.340437i 0.114445 0.0353017i
\(94\) 3.97999 + 10.1409i 0.410505 + 1.04595i
\(95\) −4.13838 3.83985i −0.424589 0.393961i
\(96\) −0.680025 0.463633i −0.0694047 0.0473193i
\(97\) −16.3428 −1.65936 −0.829682 0.558236i \(-0.811478\pi\)
−0.829682 + 0.558236i \(0.811478\pi\)
\(98\) −0.291718 + 16.7884i −0.0294680 + 1.69588i
\(99\) 7.97860 0.801880
\(100\) 2.05343 + 1.40000i 0.205343 + 0.140000i
\(101\) −7.41887 6.88370i −0.738205 0.684954i 0.218558 0.975824i \(-0.429865\pi\)
−0.956763 + 0.290870i \(0.906055\pi\)
\(102\) −0.0816902 0.208143i −0.00808853 0.0206092i
\(103\) 16.9846 5.23904i 1.67354 0.516218i 0.694430 0.719560i \(-0.255657\pi\)
0.979108 + 0.203342i \(0.0651804\pi\)
\(104\) −0.936090 4.10128i −0.0917912 0.402163i
\(105\) 1.89233 1.37137i 0.184673 0.133832i
\(106\) −4.71180 + 20.6437i −0.457650 + 2.00510i
\(107\) 0.683379 + 9.11906i 0.0660648 + 0.881573i 0.927528 + 0.373753i \(0.121929\pi\)
−0.861463 + 0.507820i \(0.830452\pi\)
\(108\) 7.80573 + 2.40775i 0.751107 + 0.231686i
\(109\) 0.518678 6.92128i 0.0496804 0.662939i −0.915662 0.401950i \(-0.868332\pi\)
0.965342 0.260988i \(-0.0840485\pi\)
\(110\) −5.81285 + 14.8109i −0.554233 + 1.41216i
\(111\) 0.752833 0.362545i 0.0714557 0.0344113i
\(112\) −1.71149 6.61676i −0.161721 0.625225i
\(113\) 14.8383 + 7.14575i 1.39587 + 0.672215i 0.972319 0.233657i \(-0.0750694\pi\)
0.423550 + 0.905873i \(0.360784\pi\)
\(114\) 1.54860 1.43689i 0.145040 0.134578i
\(115\) 2.82436 0.425704i 0.263373 0.0396971i
\(116\) 15.5564 26.9445i 1.44438 2.50174i
\(117\) −1.43110 2.47874i −0.132305 0.229160i
\(118\) 6.03279 + 7.56488i 0.555363 + 0.696403i
\(119\) −0.224873 + 0.625176i −0.0206141 + 0.0573098i
\(120\) −2.31679 + 2.90516i −0.211493 + 0.265203i
\(121\) 3.19335 + 0.481321i 0.290305 + 0.0437564i
\(122\) −6.69903 + 4.56732i −0.606501 + 0.413506i
\(123\) 3.36230 2.29238i 0.303169 0.206697i
\(124\) 11.5489 + 1.74072i 1.03713 + 0.156322i
\(125\) 6.43575 8.07018i 0.575631 0.721819i
\(126\) −9.53016 15.4638i −0.849014 1.37762i
\(127\) −6.23852 7.82286i −0.553579 0.694166i 0.423777 0.905766i \(-0.360704\pi\)
−0.977356 + 0.211600i \(0.932133\pi\)
\(128\) −10.3577 17.9400i −0.915499 1.58569i
\(129\) −0.395895 + 0.685711i −0.0348566 + 0.0603735i
\(130\) 5.64398 0.850694i 0.495010 0.0746108i
\(131\) 6.49227 6.02395i 0.567233 0.526315i −0.343586 0.939121i \(-0.611642\pi\)
0.910819 + 0.412806i \(0.135451\pi\)
\(132\) −3.49966 1.68535i −0.304606 0.146690i
\(133\) −6.27448 + 0.180207i −0.544066 + 0.0156259i
\(134\) 26.5587 12.7900i 2.29432 1.10489i
\(135\) −1.89177 + 4.82016i −0.162818 + 0.414853i
\(136\) 0.0789434 1.05343i 0.00676934 0.0903305i
\(137\) 11.1347 + 3.43459i 0.951300 + 0.293437i 0.731295 0.682062i \(-0.238916\pi\)
0.220005 + 0.975499i \(0.429393\pi\)
\(138\) 0.0798737 + 1.06584i 0.00679930 + 0.0907304i
\(139\) 1.04021 4.55744i 0.0882292 0.386557i −0.911463 0.411383i \(-0.865046\pi\)
0.999692 + 0.0248256i \(0.00790305\pi\)
\(140\) 23.2575 4.19161i 1.96561 0.354256i
\(141\) −0.375147 1.64362i −0.0315930 0.138418i
\(142\) −4.19234 + 1.29316i −0.351813 + 0.108520i
\(143\) 1.01842 + 2.59488i 0.0851642 + 0.216995i
\(144\) 5.41994 + 5.02897i 0.451662 + 0.419081i
\(145\) 16.2955 + 11.1101i 1.35326 + 0.922640i
\(146\) −12.1508 −1.00561
\(147\) 0.431866 2.56235i 0.0356197 0.211339i
\(148\) 8.44955 0.694548
\(149\) 2.48742 + 1.69590i 0.203778 + 0.138933i 0.660909 0.750466i \(-0.270171\pi\)
−0.457132 + 0.889399i \(0.651123\pi\)
\(150\) −0.432155 0.400981i −0.0352853 0.0327400i
\(151\) −5.95795 15.1806i −0.484851 1.23538i −0.938834 0.344369i \(-0.888093\pi\)
0.453984 0.891010i \(-0.350002\pi\)
\(152\) 9.53714 2.94182i 0.773564 0.238613i
\(153\) −0.159935 0.700722i −0.0129300 0.0566501i
\(154\) 6.93335 + 16.2757i 0.558705 + 1.31153i
\(155\) −1.64745 + 7.21795i −0.132326 + 0.579760i
\(156\) 0.104132 + 1.38955i 0.00833724 + 0.111253i
\(157\) 6.76275 + 2.08603i 0.539726 + 0.166483i 0.552620 0.833433i \(-0.313628\pi\)
−0.0128938 + 0.999917i \(0.504104\pi\)
\(158\) −0.763965 + 10.1944i −0.0607778 + 0.811024i
\(159\) 1.19718 3.05037i 0.0949427 0.241910i
\(160\) 4.75329 2.28906i 0.375781 0.180966i
\(161\) 1.90801 2.53880i 0.150372 0.200085i
\(162\) 16.8112 + 8.09584i 1.32081 + 0.636069i
\(163\) −10.7006 + 9.92869i −0.838135 + 0.777675i −0.977136 0.212617i \(-0.931801\pi\)
0.139001 + 0.990292i \(0.455611\pi\)
\(164\) 40.6910 6.13317i 3.17743 0.478920i
\(165\) 1.23114 2.13239i 0.0958439 0.166007i
\(166\) 8.54417 + 14.7989i 0.663156 + 1.14862i
\(167\) 3.72260 + 4.66799i 0.288063 + 0.361220i 0.904716 0.426015i \(-0.140083\pi\)
−0.616652 + 0.787235i \(0.711512\pi\)
\(168\) 0.426909 + 4.10948i 0.0329367 + 0.317053i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 1.41729 + 0.213622i 0.108701 + 0.0163841i
\(171\) 5.61065 3.82528i 0.429057 0.292526i
\(172\) −6.61547 + 4.51035i −0.504425 + 0.343911i
\(173\) 2.16378 + 0.326138i 0.164509 + 0.0247958i 0.230780 0.973006i \(-0.425872\pi\)
−0.0662710 + 0.997802i \(0.521110\pi\)
\(174\) −4.60152 + 5.77012i −0.348840 + 0.437432i
\(175\) 0.180997 + 1.74231i 0.0136821 + 0.131706i
\(176\) −4.48968 5.62988i −0.338422 0.424368i
\(177\) −0.748695 1.29678i −0.0562754 0.0974718i
\(178\) 5.89662 10.2132i 0.441970 0.765515i
\(179\) 4.97583 0.749985i 0.371911 0.0560565i 0.0395722 0.999217i \(-0.487400\pi\)
0.332338 + 0.943160i \(0.392162\pi\)
\(180\) −18.7409 + 17.3890i −1.39686 + 1.29610i
\(181\) 14.2559 + 6.86529i 1.05963 + 0.510293i 0.880752 0.473578i \(-0.157038\pi\)
0.178882 + 0.983871i \(0.442752\pi\)
\(182\) 3.81282 5.07334i 0.282625 0.376061i
\(183\) 1.13048 0.544410i 0.0835674 0.0402439i
\(184\) −1.84483 + 4.70054i −0.136002 + 0.346528i
\(185\) −0.400267 + 5.34119i −0.0294282 + 0.392692i
\(186\) −2.64737 0.816607i −0.194115 0.0598765i
\(187\) 0.0523113 + 0.698046i 0.00382538 + 0.0510462i
\(188\) 3.79355 16.6206i 0.276673 1.21218i
\(189\) 2.25644 + 5.29688i 0.164132 + 0.385292i
\(190\) 3.01330 + 13.2021i 0.218608 + 0.957783i
\(191\) −11.6148 + 3.58268i −0.840414 + 0.259233i −0.684934 0.728606i \(-0.740169\pi\)
−0.155480 + 0.987839i \(0.549693\pi\)
\(192\) 1.42193 + 3.62301i 0.102619 + 0.261468i
\(193\) −12.4841 11.5835i −0.898624 0.833801i 0.0881163 0.996110i \(-0.471915\pi\)
−0.986740 + 0.162309i \(0.948106\pi\)
\(194\) 32.3899 + 22.0830i 2.32546 + 1.58547i
\(195\) −0.883303 −0.0632547
\(196\) 15.1769 21.4501i 1.08407 1.53215i
\(197\) −25.0553 −1.78512 −0.892560 0.450929i \(-0.851093\pi\)
−0.892560 + 0.450929i \(0.851093\pi\)
\(198\) −15.8128 10.7810i −1.12377 0.766170i
\(199\) −18.7828 17.4279i −1.33148 1.23543i −0.950454 0.310867i \(-0.899381\pi\)
−0.381025 0.924565i \(-0.624429\pi\)
\(200\) −1.01754 2.59265i −0.0719510 0.183328i
\(201\) −4.35921 + 1.34464i −0.307475 + 0.0948434i
\(202\) 5.40194 + 23.6674i 0.380079 + 1.66524i
\(203\) 21.5815 3.88956i 1.51472 0.272993i
\(204\) −0.0778634 + 0.341142i −0.00545153 + 0.0238847i
\(205\) 1.94936 + 26.0124i 0.136149 + 1.81679i
\(206\) −40.7408 12.5669i −2.83855 0.875577i
\(207\) −0.256747 + 3.42606i −0.0178452 + 0.238127i
\(208\) −0.943752 + 2.40464i −0.0654374 + 0.166732i
\(209\) −5.95860 + 2.86951i −0.412165 + 0.198488i
\(210\) −5.60345 + 0.160934i −0.386675 + 0.0111055i
\(211\) 2.62108 + 1.26224i 0.180442 + 0.0868965i 0.521924 0.852992i \(-0.325214\pi\)
−0.341482 + 0.939888i \(0.610929\pi\)
\(212\) 24.2908 22.5385i 1.66830 1.54795i
\(213\) 0.671368 0.101192i 0.0460014 0.00693359i
\(214\) 10.9676 18.9965i 0.749731 1.29857i
\(215\) −2.53773 4.39548i −0.173072 0.299769i
\(216\) −5.70767 7.15719i −0.388358 0.486985i
\(217\) 4.31894 + 7.00797i 0.293189 + 0.475732i
\(218\) −10.3803 + 13.0164i −0.703040 + 0.881584i
\(219\) 1.85940 + 0.280259i 0.125646 + 0.0189382i
\(220\) 20.5725 14.0261i 1.38700 0.945638i
\(221\) 0.207481 0.141458i 0.0139567 0.00951552i
\(222\) −1.98192 0.298727i −0.133018 0.0200492i
\(223\) 16.7316 20.9808i 1.12043 1.40498i 0.217037 0.976163i \(-0.430361\pi\)
0.903394 0.428812i \(-0.141068\pi\)
\(224\) 1.98546 5.51983i 0.132659 0.368809i
\(225\) −1.18151 1.48156i −0.0787671 0.0987708i
\(226\) −19.7524 34.2122i −1.31391 2.27576i
\(227\) −3.51684 + 6.09134i −0.233421 + 0.404297i −0.958813 0.284040i \(-0.908325\pi\)
0.725392 + 0.688336i \(0.241659\pi\)
\(228\) −3.26903 + 0.492727i −0.216497 + 0.0326316i
\(229\) 12.6441 11.7320i 0.835547 0.775275i −0.141129 0.989991i \(-0.545073\pi\)
0.976676 + 0.214717i \(0.0688828\pi\)
\(230\) −6.17282 2.97267i −0.407024 0.196012i
\(231\) −0.685589 2.65054i −0.0451084 0.174393i
\(232\) −31.4145 + 15.1284i −2.06246 + 0.993230i
\(233\) −4.12011 + 10.4979i −0.269917 + 0.687738i 0.730073 + 0.683369i \(0.239486\pi\)
−0.999990 + 0.00436874i \(0.998609\pi\)
\(234\) −0.513064 + 6.84637i −0.0335401 + 0.447561i
\(235\) 10.3267 + 3.18535i 0.673637 + 0.207789i
\(236\) −1.13155 15.0995i −0.0736579 0.982896i
\(237\) 0.352043 1.54240i 0.0228676 0.100190i
\(238\) 1.29044 0.935178i 0.0836465 0.0606186i
\(239\) 2.01781 + 8.84059i 0.130521 + 0.571850i 0.997318 + 0.0731891i \(0.0233177\pi\)
−0.866797 + 0.498661i \(0.833825\pi\)
\(240\) 2.18038 0.672560i 0.140743 0.0434135i
\(241\) −0.151241 0.385355i −0.00974227 0.0248229i 0.925920 0.377720i \(-0.123292\pi\)
−0.935662 + 0.352897i \(0.885197\pi\)
\(242\) −5.67853 5.26890i −0.365030 0.338698i
\(243\) −7.77982 5.30419i −0.499076 0.340264i
\(244\) 12.6881 0.812273
\(245\) 12.8402 + 10.6099i 0.820333 + 0.677841i
\(246\) −9.76129 −0.622357
\(247\) 1.96026 + 1.33648i 0.124728 + 0.0850383i
\(248\) −9.59478 8.90265i −0.609269 0.565319i
\(249\) −0.966149 2.46171i −0.0612272 0.156004i
\(250\) −23.6597 + 7.29806i −1.49637 + 0.461570i
\(251\) −2.31592 10.1467i −0.146179 0.640454i −0.993926 0.110052i \(-0.964898\pi\)
0.847746 0.530402i \(-0.177959\pi\)
\(252\) −1.30961 + 28.3958i −0.0824977 + 1.78877i
\(253\) 0.744574 3.26219i 0.0468110 0.205092i
\(254\) 1.79359 + 23.9338i 0.112540 + 1.50174i
\(255\) −0.211957 0.0653800i −0.0132732 0.00409425i
\(256\) −2.14629 + 28.6402i −0.134143 + 1.79001i
\(257\) 4.18100 10.6530i 0.260804 0.664517i −0.739156 0.673535i \(-0.764775\pi\)
0.999959 + 0.00901757i \(0.00287042\pi\)
\(258\) 1.71118 0.824062i 0.106534 0.0513038i
\(259\) 3.84531 + 4.54765i 0.238936 + 0.282577i
\(260\) −8.04756 3.87550i −0.499089 0.240348i
\(261\) −17.3904 + 16.1359i −1.07644 + 0.998786i
\(262\) −21.0068 + 3.16627i −1.29780 + 0.195613i
\(263\) −12.9939 + 22.5061i −0.801237 + 1.38778i 0.117565 + 0.993065i \(0.462491\pi\)
−0.918802 + 0.394718i \(0.870842\pi\)
\(264\) 2.17653 + 3.76987i 0.133956 + 0.232019i
\(265\) 13.0965 + 16.4225i 0.804514 + 1.00883i
\(266\) 12.6789 + 8.12115i 0.777392 + 0.497940i
\(267\) −1.13791 + 1.42690i −0.0696391 + 0.0873246i
\(268\) −45.6153 6.87540i −2.78640 0.419982i
\(269\) −4.49165 + 3.06236i −0.273861 + 0.186715i −0.692461 0.721456i \(-0.743473\pi\)
0.418600 + 0.908171i \(0.362521\pi\)
\(270\) 10.2625 6.99684i 0.624555 0.425814i
\(271\) −3.77742 0.569355i −0.229462 0.0345858i 0.0333046 0.999445i \(-0.489397\pi\)
−0.262767 + 0.964859i \(0.584635\pi\)
\(272\) −0.404447 + 0.507161i −0.0245232 + 0.0307512i
\(273\) −0.700481 + 0.688415i −0.0423950 + 0.0416648i
\(274\) −17.4269 21.8526i −1.05280 1.32016i
\(275\) 0.922791 + 1.59832i 0.0556464 + 0.0963823i
\(276\) 0.836314 1.44854i 0.0503402 0.0871917i
\(277\) −29.1443 + 4.39279i −1.75111 + 0.263937i −0.944821 0.327586i \(-0.893765\pi\)
−0.806288 + 0.591523i \(0.798527\pi\)
\(278\) −8.21977 + 7.62683i −0.492989 + 0.457427i
\(279\) −8.02349 3.86391i −0.480354 0.231326i
\(280\) −24.1813 10.8012i −1.44511 0.645496i
\(281\) −10.8390 + 5.21978i −0.646599 + 0.311386i −0.728287 0.685272i \(-0.759683\pi\)
0.0816877 + 0.996658i \(0.473969\pi\)
\(282\) −1.47742 + 3.76441i −0.0879792 + 0.224167i
\(283\) −1.29596 + 17.2934i −0.0770368 + 1.02798i 0.816015 + 0.578031i \(0.196179\pi\)
−0.893052 + 0.449954i \(0.851440\pi\)
\(284\) 6.56065 + 2.02369i 0.389303 + 0.120084i
\(285\) −0.156608 2.08978i −0.00927664 0.123788i
\(286\) 1.48790 6.51891i 0.0879813 0.385471i
\(287\) 21.8190 + 19.1092i 1.28794 + 1.12798i
\(288\) 1.41211 + 6.18685i 0.0832093 + 0.364564i
\(289\) −16.1845 + 4.99225i −0.952028 + 0.293662i
\(290\) −17.2837 44.0380i −1.01493 2.58600i
\(291\) −4.44718 4.12638i −0.260698 0.241893i
\(292\) 15.7109 + 10.7115i 0.919409 + 0.626843i
\(293\) 0.231862 0.0135455 0.00677277 0.999977i \(-0.497844\pi\)
0.00677277 + 0.999977i \(0.497844\pi\)
\(294\) −4.31825 + 4.49476i −0.251845 + 0.262140i
\(295\) 9.59844 0.558843
\(296\) −7.82382 5.33419i −0.454750 0.310044i
\(297\) 4.44677 + 4.12600i 0.258028 + 0.239415i
\(298\) −2.63827 6.72219i −0.152831 0.389406i
\(299\) −1.14703 + 0.353811i −0.0663344 + 0.0204614i
\(300\) 0.205289 + 0.899431i 0.0118524 + 0.0519287i
\(301\) −5.43817 1.50791i −0.313451 0.0869143i
\(302\) −8.70452 + 38.1370i −0.500889 + 2.19454i
\(303\) −0.280750 3.74635i −0.0161287 0.215222i
\(304\) −5.85640 1.80646i −0.335888 0.103608i
\(305\) −0.601054 + 8.02051i −0.0344163 + 0.459253i
\(306\) −0.629866 + 1.60487i −0.0360070 + 0.0917444i
\(307\) −26.5587 + 12.7900i −1.51578 + 0.729963i −0.992506 0.122199i \(-0.961005\pi\)
−0.523278 + 0.852162i \(0.675291\pi\)
\(308\) 5.38305 27.1565i 0.306728 1.54738i
\(309\) 5.94460 + 2.86277i 0.338176 + 0.162857i
\(310\) 13.0182 12.0792i 0.739386 0.686050i
\(311\) 11.5449 1.74012i 0.654654 0.0986732i 0.186687 0.982419i \(-0.440225\pi\)
0.467967 + 0.883746i \(0.344987\pi\)
\(312\) 0.780798 1.35238i 0.0442040 0.0765636i
\(313\) −5.18867 8.98704i −0.293281 0.507977i 0.681303 0.732002i \(-0.261414\pi\)
−0.974584 + 0.224024i \(0.928080\pi\)
\(314\) −10.5844 13.2724i −0.597310 0.749003i
\(315\) −17.8878 2.17299i −1.00786 0.122434i
\(316\) 9.97466 12.5078i 0.561119 0.703621i
\(317\) −13.2574 1.99824i −0.744612 0.112232i −0.234232 0.972181i \(-0.575257\pi\)
−0.510381 + 0.859949i \(0.670496\pi\)
\(318\) −6.49446 + 4.42785i −0.364191 + 0.248302i
\(319\) 19.0900 13.0153i 1.06883 0.728719i
\(320\) −24.6698 3.71838i −1.37909 0.207864i
\(321\) −2.11650 + 2.65400i −0.118131 + 0.148132i
\(322\) −7.21199 + 2.45347i −0.401909 + 0.136727i
\(323\) 0.371459 + 0.465794i 0.0206685 + 0.0259175i
\(324\) −14.5999 25.2877i −0.811105 1.40487i
\(325\) 0.331037 0.573373i 0.0183626 0.0318050i
\(326\) 34.6235 5.21865i 1.91762 0.289034i
\(327\) 1.88869 1.75244i 0.104445 0.0969104i
\(328\) −41.5495 20.0092i −2.29419 1.10482i
\(329\) 10.6718 5.52216i 0.588357 0.304447i
\(330\) −5.32136 + 2.56263i −0.292931 + 0.141068i
\(331\) 9.82745 25.0399i 0.540165 1.37632i −0.356785 0.934187i \(-0.616127\pi\)
0.896950 0.442132i \(-0.145778\pi\)
\(332\) 1.99842 26.6670i 0.109677 1.46354i
\(333\) −6.15645 1.89901i −0.337372 0.104065i
\(334\) −1.07026 14.2816i −0.0585619 0.781455i
\(335\) 6.50699 28.5090i 0.355515 1.55761i
\(336\) 1.20493 2.23267i 0.0657343 0.121802i
\(337\) 4.23705 + 18.5637i 0.230807 + 1.01123i 0.948972 + 0.315359i \(0.102125\pi\)
−0.718165 + 0.695873i \(0.755018\pi\)
\(338\) −2.29213 + 0.707029i −0.124676 + 0.0384573i
\(339\) 2.23355 + 5.69098i 0.121310 + 0.309092i
\(340\) −1.64423 1.52562i −0.0891709 0.0827385i
\(341\) 7.16615 + 4.88580i 0.388069 + 0.264581i
\(342\) −16.2886 −0.880787
\(343\) 18.4516 1.59333i 0.996292 0.0860316i
\(344\) 8.97295 0.483789
\(345\) 0.876044 + 0.597277i 0.0471646 + 0.0321563i
\(346\) −3.84771 3.57016i −0.206854 0.191933i
\(347\) 12.2683 + 31.2592i 0.658599 + 1.67808i 0.732457 + 0.680814i \(0.238374\pi\)
−0.0738577 + 0.997269i \(0.523531\pi\)
\(348\) 11.0364 3.40427i 0.591612 0.182488i
\(349\) 7.70298 + 33.7490i 0.412331 + 1.80654i 0.573027 + 0.819537i \(0.305769\pi\)
−0.160696 + 0.987004i \(0.551374\pi\)
\(350\) 1.99555 3.69765i 0.106667 0.197648i
\(351\) 0.484232 2.12156i 0.0258464 0.113241i
\(352\) −0.461869 6.16322i −0.0246177 0.328501i
\(353\) −9.18384 2.83284i −0.488807 0.150777i 0.0405479 0.999178i \(-0.487090\pi\)
−0.529355 + 0.848401i \(0.677566\pi\)
\(354\) −0.268415 + 3.58175i −0.0142661 + 0.190368i
\(355\) −1.59002 + 4.05130i −0.0843895 + 0.215021i
\(356\) −16.6278 + 8.00751i −0.881269 + 0.424397i
\(357\) −0.219042 + 0.113344i −0.0115929 + 0.00599878i
\(358\) −10.8750 5.23712i −0.574761 0.276790i
\(359\) 9.16121 8.50036i 0.483510 0.448632i −0.400364 0.916356i \(-0.631116\pi\)
0.883874 + 0.467724i \(0.154926\pi\)
\(360\) 28.3307 4.27016i 1.49316 0.225057i
\(361\) 6.68560 11.5798i 0.351874 0.609463i
\(362\) −18.9772 32.8694i −0.997418 1.72758i
\(363\) 0.747440 + 0.937261i 0.0392304 + 0.0491934i
\(364\) −9.40234 + 3.19862i −0.492817 + 0.167653i
\(365\) −7.51528 + 9.42386i −0.393368 + 0.493267i
\(366\) −2.97612 0.448578i −0.155564 0.0234475i
\(367\) −19.7421 + 13.4600i −1.03053 + 0.702604i −0.955625 0.294587i \(-0.904818\pi\)
−0.0749056 + 0.997191i \(0.523866\pi\)
\(368\) 2.56198 1.74673i 0.133552 0.0910544i
\(369\) −31.0264 4.67648i −1.61517 0.243448i
\(370\) 8.01050 10.0449i 0.416446 0.522207i
\(371\) 23.1850 + 2.81650i 1.20371 + 0.146225i
\(372\) 2.70316 + 3.38966i 0.140152 + 0.175745i
\(373\) 1.21502 + 2.10448i 0.0629116 + 0.108966i 0.895766 0.444527i \(-0.146628\pi\)
−0.832854 + 0.553493i \(0.813295\pi\)
\(374\) 0.839549 1.45414i 0.0434120 0.0751918i
\(375\) 3.78891 0.571086i 0.195658 0.0294908i
\(376\) −14.0052 + 12.9949i −0.722263 + 0.670162i
\(377\) −7.46764 3.59622i −0.384603 0.185215i
\(378\) 2.68531 13.5469i 0.138117 0.696776i
\(379\) 10.6778 5.14216i 0.548482 0.264135i −0.139055 0.990285i \(-0.544406\pi\)
0.687536 + 0.726150i \(0.258692\pi\)
\(380\) 7.74213 19.7266i 0.397163 1.01196i
\(381\) 0.277568 3.70389i 0.0142203 0.189756i
\(382\) 27.8603 + 8.59377i 1.42546 + 0.439695i
\(383\) −2.71377 36.2128i −0.138667 1.85039i −0.441400 0.897310i \(-0.645518\pi\)
0.302733 0.953076i \(-0.402101\pi\)
\(384\) 1.71114 7.49700i 0.0873213 0.382580i
\(385\) 16.9114 + 4.68922i 0.861883 + 0.238985i
\(386\) 9.09010 + 39.8263i 0.462674 + 2.02711i
\(387\) 5.83381 1.79949i 0.296549 0.0914733i
\(388\) −22.4126 57.1065i −1.13783 2.89914i
\(389\) −1.87033 1.73541i −0.0948294 0.0879888i 0.631334 0.775511i \(-0.282508\pi\)
−0.726163 + 0.687522i \(0.758698\pi\)
\(390\) 1.75062 + 1.19355i 0.0886460 + 0.0604378i
\(391\) −0.301428 −0.0152439
\(392\) −27.5944 + 10.2804i −1.39373 + 0.519240i
\(393\) 3.28764 0.165839
\(394\) 49.6572 + 33.8557i 2.50169 + 1.70562i
\(395\) 7.43403 + 6.89778i 0.374047 + 0.347065i
\(396\) 10.9419 + 27.8795i 0.549850 + 1.40100i
\(397\) −6.39093 + 1.97134i −0.320752 + 0.0989388i −0.450950 0.892549i \(-0.648915\pi\)
0.130198 + 0.991488i \(0.458439\pi\)
\(398\) 13.6764 + 59.9204i 0.685538 + 3.00354i
\(399\) −1.75290 1.53520i −0.0877546 0.0768559i
\(400\) −0.380572 + 1.66739i −0.0190286 + 0.0833697i
\(401\) 0.851623 + 11.3641i 0.0425280 + 0.567497i 0.977246 + 0.212108i \(0.0680327\pi\)
−0.934718 + 0.355389i \(0.884348\pi\)
\(402\) 10.4564 + 3.22538i 0.521519 + 0.160867i
\(403\) 0.232514 3.10268i 0.0115823 0.154556i
\(404\) 13.8793 35.3639i 0.690522 1.75942i
\(405\) 16.6767 8.03108i 0.828672 0.399068i
\(406\) −48.0280 21.4530i −2.38359 1.06469i
\(407\) 5.65331 + 2.72249i 0.280224 + 0.134949i
\(408\) 0.287460 0.266724i 0.0142314 0.0132048i
\(409\) −19.1599 + 2.88789i −0.947397 + 0.142797i −0.604526 0.796586i \(-0.706637\pi\)
−0.342871 + 0.939383i \(0.611399\pi\)
\(410\) 31.2855 54.1880i 1.54508 2.67616i
\(411\) 2.16275 + 3.74599i 0.106681 + 0.184776i
\(412\) 41.5993 + 52.1639i 2.04945 + 2.56993i
\(413\) 7.61179 7.48068i 0.374552 0.368100i
\(414\) 5.13826 6.44317i 0.252532 0.316665i
\(415\) 16.7623 + 2.52651i 0.822829 + 0.124021i
\(416\) −1.83190 + 1.24897i −0.0898164 + 0.0612358i
\(417\) 1.43376 0.977521i 0.0702115 0.0478694i
\(418\) 15.6867 + 2.36439i 0.767263 + 0.115646i
\(419\) 1.77815 2.22973i 0.0868682 0.108929i −0.736498 0.676440i \(-0.763522\pi\)
0.823366 + 0.567510i \(0.192093\pi\)
\(420\) 7.38710 + 4.73163i 0.360454 + 0.230880i
\(421\) 1.87917 + 2.35640i 0.0915849 + 0.114844i 0.825512 0.564384i \(-0.190886\pi\)
−0.733927 + 0.679228i \(0.762315\pi\)
\(422\) −3.48912 6.04334i −0.169848 0.294185i
\(423\) −6.49947 + 11.2574i −0.316015 + 0.547354i
\(424\) −36.7205 + 5.53472i −1.78330 + 0.268790i
\(425\) 0.121875 0.113083i 0.00591180 0.00548535i
\(426\) −1.46732 0.706623i −0.0710918 0.0342360i
\(427\) 5.77425 + 6.82890i 0.279435 + 0.330474i
\(428\) −30.9274 + 14.8938i −1.49493 + 0.719920i
\(429\) −0.378048 + 0.963251i −0.0182523 + 0.0465062i
\(430\) −0.909803 + 12.1405i −0.0438746 + 0.585466i
\(431\) 20.2168 + 6.23607i 0.973811 + 0.300381i 0.740526 0.672028i \(-0.234576\pi\)
0.233285 + 0.972408i \(0.425053\pi\)
\(432\) 0.420086 + 5.60565i 0.0202114 + 0.269702i
\(433\) −0.563332 + 2.46812i −0.0270720 + 0.118610i −0.986658 0.162804i \(-0.947946\pi\)
0.959586 + 0.281414i \(0.0908034\pi\)
\(434\) 0.909713 19.7250i 0.0436676 0.946830i
\(435\) 1.62912 + 7.13766i 0.0781105 + 0.342225i
\(436\) 24.8962 7.67946i 1.19231 0.367780i
\(437\) −1.04044 2.65099i −0.0497709 0.126814i
\(438\) −3.30644 3.06793i −0.157988 0.146591i
\(439\) 0.272346 + 0.185683i 0.0129984 + 0.00886215i 0.569802 0.821782i \(-0.307020\pi\)
−0.556803 + 0.830644i \(0.687972\pi\)
\(440\) −27.9037 −1.33025
\(441\) −15.8790 + 12.2178i −0.756142 + 0.581802i
\(442\) −0.602351 −0.0286509
\(443\) 29.0891 + 19.8326i 1.38207 + 0.942277i 0.999834 + 0.0182102i \(0.00579679\pi\)
0.382232 + 0.924066i \(0.375156\pi\)
\(444\) 2.29927 + 2.13341i 0.109119 + 0.101247i
\(445\) −4.27409 10.8902i −0.202611 0.516245i
\(446\) −61.5103 + 18.9734i −2.91260 + 0.898417i
\(447\) 0.248678 + 1.08953i 0.0117621 + 0.0515330i
\(448\) −22.4618 + 16.2780i −1.06122 + 0.769065i
\(449\) 7.09787 31.0978i 0.334969 1.46760i −0.474407 0.880306i \(-0.657338\pi\)
0.809376 0.587290i \(-0.199805\pi\)
\(450\) 0.339686 + 4.53280i 0.0160130 + 0.213678i
\(451\) 29.2011 + 9.00735i 1.37503 + 0.424140i
\(452\) −4.61994 + 61.6488i −0.217304 + 2.89972i
\(453\) 2.21166 5.63522i 0.103913 0.264766i
\(454\) 15.2009 7.32035i 0.713412 0.343561i
\(455\) −1.57653 6.09500i −0.0739089 0.285738i
\(456\) 3.33800 + 1.60750i 0.156316 + 0.0752779i
\(457\) −16.9154 + 15.6952i −0.791268 + 0.734190i −0.968239 0.250027i \(-0.919561\pi\)
0.176971 + 0.984216i \(0.443370\pi\)
\(458\) −40.9121 + 6.16651i −1.91170 + 0.288142i
\(459\) 0.273229 0.473246i 0.0127532 0.0220892i
\(460\) 5.36086 + 9.28529i 0.249952 + 0.432929i
\(461\) 8.06711 + 10.1158i 0.375723 + 0.471142i 0.933359 0.358944i \(-0.116863\pi\)
−0.557636 + 0.830085i \(0.688292\pi\)
\(462\) −2.22274 + 6.17950i −0.103411 + 0.287496i
\(463\) 17.9002 22.4462i 0.831894 1.04316i −0.166474 0.986046i \(-0.553238\pi\)
0.998368 0.0571158i \(-0.0181904\pi\)
\(464\) 21.1717 + 3.19111i 0.982870 + 0.148144i
\(465\) −2.27075 + 1.54817i −0.105303 + 0.0717947i
\(466\) 22.3507 15.2385i 1.03538 0.705908i
\(467\) 2.73730 + 0.412582i 0.126667 + 0.0190920i 0.212070 0.977255i \(-0.431980\pi\)
−0.0854027 + 0.996347i \(0.527218\pi\)
\(468\) 6.69879 8.40002i 0.309652 0.388291i
\(469\) −17.0587 27.6796i −0.787697 1.27813i
\(470\) −16.1622 20.2668i −0.745508 0.934837i
\(471\) 1.31357 + 2.27516i 0.0605259 + 0.104834i
\(472\) −8.48456 + 14.6957i −0.390534 + 0.676424i
\(473\) −5.87945 + 0.886185i −0.270337 + 0.0407468i
\(474\) −2.78186 + 2.58119i −0.127775 + 0.118558i
\(475\) 1.41522 + 0.681534i 0.0649347 + 0.0312709i
\(476\) −2.49293 + 0.0715984i −0.114263 + 0.00328171i
\(477\) −22.7641 + 10.9626i −1.04229 + 0.501943i
\(478\) 7.94663 20.2477i 0.363471 0.926108i
\(479\) 0.441991 5.89795i 0.0201951 0.269484i −0.977961 0.208787i \(-0.933048\pi\)
0.998156 0.0606974i \(-0.0193325\pi\)
\(480\) 1.87142 + 0.577256i 0.0854181 + 0.0263480i
\(481\) −0.168214 2.24466i −0.00766990 0.102348i
\(482\) −0.220962 + 0.968097i −0.0100645 + 0.0440956i
\(483\) 1.16022 0.209102i 0.0527918 0.00951449i
\(484\) 2.69751 + 11.8186i 0.122614 + 0.537207i
\(485\) 37.1603 11.4624i 1.68736 0.520482i
\(486\) 8.25160 + 21.0247i 0.374300 + 0.953702i
\(487\) −17.2266 15.9839i −0.780611 0.724301i 0.185439 0.982656i \(-0.440629\pi\)
−0.966050 + 0.258355i \(0.916820\pi\)
\(488\) −11.7485 8.00999i −0.531830 0.362595i
\(489\) −5.41870 −0.245042
\(490\) −11.1116 38.3779i −0.501971 1.73374i
\(491\) −34.7261 −1.56717 −0.783583 0.621287i \(-0.786610\pi\)
−0.783583 + 0.621287i \(0.786610\pi\)
\(492\) 12.6213 + 8.60505i 0.569012 + 0.387946i
\(493\) −1.52574 1.41568i −0.0687160 0.0637592i
\(494\) −2.07913 5.29754i −0.0935446 0.238348i
\(495\) −18.1417 + 5.59598i −0.815410 + 0.251521i
\(496\) 1.78848 + 7.83584i 0.0803051 + 0.351839i
\(497\) 1.89652 + 4.45199i 0.0850704 + 0.199699i
\(498\) −1.41154 + 6.18435i −0.0632525 + 0.277128i
\(499\) 2.54404 + 33.9479i 0.113887 + 1.51972i 0.702722 + 0.711464i \(0.251968\pi\)
−0.588835 + 0.808253i \(0.700413\pi\)
\(500\) 37.0255 + 11.4208i 1.65583 + 0.510756i
\(501\) −0.165628 + 2.21016i −0.00739973 + 0.0987425i
\(502\) −9.12067 + 23.2391i −0.407075 + 1.03721i
\(503\) −30.0564 + 14.4744i −1.34015 + 0.645382i −0.960119 0.279593i \(-0.909801\pi\)
−0.380030 + 0.924974i \(0.624086\pi\)
\(504\) 19.1389 25.4662i 0.852514 1.13436i
\(505\) 21.6970 + 10.4487i 0.965505 + 0.464963i
\(506\) −5.88366 + 5.45924i −0.261561 + 0.242693i
\(507\) 0.367066 0.0553263i 0.0163020 0.00245713i
\(508\) 18.7797 32.5274i 0.833215 1.44317i
\(509\) −6.27672 10.8716i −0.278211 0.481875i 0.692729 0.721198i \(-0.256408\pi\)
−0.970940 + 0.239322i \(0.923075\pi\)
\(510\) 0.331733 + 0.415980i 0.0146894 + 0.0184199i
\(511\) 1.38482 + 13.3305i 0.0612609 + 0.589706i
\(512\) 17.1218 21.4700i 0.756683 0.948851i
\(513\) 5.10520 + 0.769485i 0.225400 + 0.0339736i
\(514\) −22.6811 + 15.4637i −1.00042 + 0.682074i
\(515\) −34.9449 + 23.8250i −1.53986 + 1.04986i
\(516\) −2.93900 0.442983i −0.129382 0.0195012i
\(517\) 7.89340 9.89801i 0.347151 0.435314i
\(518\) −1.47608 14.2089i −0.0648550 0.624304i
\(519\) 0.506458 + 0.635078i 0.0222310 + 0.0278768i
\(520\) 5.00501 + 8.66892i 0.219484 + 0.380157i
\(521\) −16.7617 + 29.0322i −0.734344 + 1.27192i 0.220666 + 0.975349i \(0.429177\pi\)
−0.955010 + 0.296572i \(0.904156\pi\)
\(522\) 56.2693 8.48124i 2.46284 0.371214i
\(523\) 29.9162 27.7582i 1.30814 1.21378i 0.346956 0.937881i \(-0.387215\pi\)
0.961187 0.275898i \(-0.0889753\pi\)
\(524\) 29.9529 + 14.4245i 1.30850 + 0.630139i
\(525\) −0.390660 + 0.519812i −0.0170498 + 0.0226865i
\(526\) 56.1636 27.0469i 2.44885 1.17930i
\(527\) 0.285447 0.727307i 0.0124343 0.0316820i
\(528\) 0.199758 2.66558i 0.00869334 0.116005i
\(529\) −20.6013 6.35467i −0.895710 0.276290i
\(530\) −3.76529 50.2444i −0.163554 2.18248i
\(531\) −2.56912 + 11.2560i −0.111490 + 0.488470i
\(532\) −9.23453 21.6776i −0.400368 0.939845i
\(533\) −2.43938 10.6876i −0.105661 0.462933i
\(534\) 4.18330 1.29038i 0.181029 0.0558401i
\(535\) −7.94973 20.2556i −0.343697 0.875725i
\(536\) 37.8968 + 35.1631i 1.63689 + 1.51882i
\(537\) 1.54337 + 1.05225i 0.0666015 + 0.0454081i
\(538\) 13.0400 0.562193
\(539\) 17.0657 9.46145i 0.735073 0.407533i
\(540\) −19.4374 −0.836451
\(541\) −19.0228 12.9695i −0.817856 0.557604i 0.0805605 0.996750i \(-0.474329\pi\)
−0.898416 + 0.439145i \(0.855281\pi\)
\(542\) 6.71714 + 6.23259i 0.288526 + 0.267713i
\(543\) 2.14588 + 5.46762i 0.0920887 + 0.234638i
\(544\) −0.532027 + 0.164109i −0.0228105 + 0.00703610i
\(545\) 3.67503 + 16.1014i 0.157421 + 0.689707i
\(546\) 2.31849 0.417854i 0.0992224 0.0178825i
\(547\) 3.17990 13.9320i 0.135963 0.595691i −0.860336 0.509728i \(-0.829746\pi\)
0.996298 0.0859632i \(-0.0273968\pi\)
\(548\) 3.26871 + 43.6179i 0.139632 + 1.86326i
\(549\) −9.24473 2.85162i −0.394555 0.121704i
\(550\) 0.330830 4.41462i 0.0141066 0.188240i
\(551\) 7.18422 18.3051i 0.306058 0.779823i
\(552\) −1.68884 + 0.813303i −0.0718819 + 0.0346165i
\(553\) 11.2712 0.323717i 0.479302 0.0137658i
\(554\) 63.6967 + 30.6747i 2.70621 + 1.30324i
\(555\) −1.45751 + 1.35237i −0.0618678 + 0.0574049i
\(556\) 17.3515 2.61532i 0.735868 0.110914i
\(557\) −15.9801 + 27.6784i −0.677100 + 1.17277i 0.298750 + 0.954331i \(0.403430\pi\)
−0.975850 + 0.218440i \(0.929903\pi\)
\(558\) 10.6807 + 18.4995i 0.452150 + 0.783147i
\(559\) 1.32990 + 1.66764i 0.0562486 + 0.0705335i
\(560\) 8.53240 + 13.8448i 0.360560 + 0.585049i
\(561\) −0.162014 + 0.203159i −0.00684022 + 0.00857736i
\(562\) 28.5349 + 4.30095i 1.20367 + 0.181424i
\(563\) 0.0978601 0.0667199i 0.00412431 0.00281191i −0.561256 0.827642i \(-0.689682\pi\)
0.565380 + 0.824830i \(0.308729\pi\)
\(564\) 5.22881 3.56494i 0.220172 0.150111i
\(565\) −38.7511 5.84079i −1.63027 0.245724i
\(566\) 25.9359 32.5226i 1.09017 1.36703i
\(567\) 6.96590 19.3661i 0.292540 0.813298i
\(568\) −4.79725 6.01556i −0.201288 0.252407i
\(569\) 10.3819 + 17.9819i 0.435231 + 0.753842i 0.997314 0.0732383i \(-0.0233334\pi\)
−0.562083 + 0.827080i \(0.690000\pi\)
\(570\) −2.51341 + 4.35336i −0.105275 + 0.182342i
\(571\) −11.6830 + 1.76093i −0.488919 + 0.0736927i −0.388875 0.921290i \(-0.627136\pi\)
−0.100044 + 0.994983i \(0.531898\pi\)
\(572\) −7.67058 + 7.11726i −0.320723 + 0.297587i
\(573\) −4.06516 1.95768i −0.169825 0.0817833i
\(574\) −17.4221 67.3552i −0.727183 2.81135i
\(575\) −0.716022 + 0.344818i −0.0298602 + 0.0143799i
\(576\) 10.9637 27.9349i 0.456819 1.16396i
\(577\) 3.09390 41.2852i 0.128801 1.71872i −0.441477 0.897273i \(-0.645545\pi\)
0.570277 0.821452i \(-0.306836\pi\)
\(578\) 38.8217 + 11.9749i 1.61477 + 0.498091i
\(579\) −0.472432 6.30417i −0.0196336 0.261992i
\(580\) −16.4740 + 72.1773i −0.684045 + 2.99700i
\(581\) 15.2620 11.0603i 0.633173 0.458861i
\(582\) 3.23815 + 14.1873i 0.134226 + 0.588081i
\(583\) 23.5142 7.25317i 0.973858 0.300395i
\(584\) −7.78526 19.8365i −0.322156 0.820841i
\(585\) 4.99255 + 4.63241i 0.206417 + 0.191527i
\(586\) −0.459528 0.313301i −0.0189829 0.0129423i
\(587\) −1.93171 −0.0797302 −0.0398651 0.999205i \(-0.512693\pi\)
−0.0398651 + 0.999205i \(0.512693\pi\)
\(588\) 9.54581 2.00495i 0.393663 0.0826827i
\(589\) 7.38178 0.304161
\(590\) −19.0231 12.9698i −0.783170 0.533956i
\(591\) −6.81800 6.32618i −0.280455 0.260224i
\(592\) 2.12434 + 5.41274i 0.0873099 + 0.222462i
\(593\) −28.0202 + 8.64307i −1.15065 + 0.354928i −0.810669 0.585504i \(-0.800897\pi\)
−0.339980 + 0.940433i \(0.610420\pi\)
\(594\) −3.23785 14.1859i −0.132850 0.582056i
\(595\) 0.0728343 1.57924i 0.00298592 0.0647426i
\(596\) −2.51468 + 11.0175i −0.103005 + 0.451295i
\(597\) −0.710794 9.48488i −0.0290909 0.388190i
\(598\) 2.75138 + 0.848687i 0.112512 + 0.0347054i
\(599\) −2.18182 + 29.1144i −0.0891469 + 1.18958i 0.755826 + 0.654773i \(0.227236\pi\)
−0.844972 + 0.534810i \(0.820383\pi\)
\(600\) 0.377723 0.962424i 0.0154205 0.0392908i
\(601\) −5.09871 + 2.45541i −0.207981 + 0.100158i −0.534974 0.844868i \(-0.679679\pi\)
0.326994 + 0.945027i \(0.393964\pi\)
\(602\) 8.74036 + 10.3368i 0.356231 + 0.421295i
\(603\) 31.6907 + 15.2614i 1.29054 + 0.621493i
\(604\) 44.8745 41.6374i 1.82592 1.69420i
\(605\) −7.59862 + 1.14531i −0.308928 + 0.0465634i
\(606\) −4.50579 + 7.80426i −0.183035 + 0.317026i
\(607\) −2.18799 3.78972i −0.0888079 0.153820i 0.818200 0.574934i \(-0.194972\pi\)
−0.907007 + 0.421114i \(0.861639\pi\)
\(608\) −3.27970 4.11261i −0.133009 0.166788i
\(609\) 6.85477 + 4.39066i 0.277769 + 0.177918i
\(610\) 12.0288 15.0837i 0.487033 0.610720i
\(611\) −4.49087 0.676889i −0.181681 0.0273840i
\(612\) 2.22918 1.51983i 0.0901094 0.0614356i
\(613\) 2.21996 1.51354i 0.0896634 0.0611315i −0.517658 0.855587i \(-0.673196\pi\)
0.607322 + 0.794456i \(0.292244\pi\)
\(614\) 69.9189 + 10.5386i 2.82170 + 0.425302i
\(615\) −6.03738 + 7.57063i −0.243451 + 0.305277i
\(616\) −22.1283 + 21.7471i −0.891574 + 0.876216i
\(617\) −27.2289 34.1439i −1.09619 1.37458i −0.920777 0.390088i \(-0.872444\pi\)
−0.175416 0.984494i \(-0.556127\pi\)
\(618\) −7.91332 13.7063i −0.318320 0.551347i
\(619\) −9.62045 + 16.6631i −0.386679 + 0.669747i −0.992001 0.126234i \(-0.959711\pi\)
0.605322 + 0.795981i \(0.293044\pi\)
\(620\) −27.4808 + 4.14207i −1.10366 + 0.166350i
\(621\) −1.91482 + 1.77669i −0.0768391 + 0.0712962i
\(622\) −25.2322 12.1512i −1.01172 0.487219i
\(623\) −11.8769 5.30512i −0.475837 0.212545i
\(624\) −0.863956 + 0.416059i −0.0345859 + 0.0166557i
\(625\) −10.1828 + 25.9453i −0.407312 + 1.03781i
\(626\) −1.86019 + 24.8225i −0.0743482 + 0.992107i
\(627\) −2.34596 0.723632i −0.0936885 0.0288991i
\(628\) 1.98528 + 26.4917i 0.0792213 + 1.05713i
\(629\) 0.125780 0.551077i 0.00501517 0.0219729i
\(630\) 32.5155 + 28.4772i 1.29545 + 1.13456i
\(631\) −4.43962 19.4513i −0.176739 0.774342i −0.983122 0.182950i \(-0.941435\pi\)
0.806384 0.591393i \(-0.201422\pi\)
\(632\) −17.1322 + 5.28458i −0.681482 + 0.210209i
\(633\) 0.394540 + 1.00527i 0.0156815 + 0.0399559i
\(634\) 23.5748 + 21.8742i 0.936276 + 0.868737i
\(635\) 19.6719 + 13.4121i 0.780654 + 0.532241i
\(636\) 12.3007 0.487753
\(637\) −6.00046 3.60479i −0.237747 0.142827i
\(638\) −55.4212 −2.19415
\(639\) −4.32536 2.94898i −0.171109 0.116660i
\(640\) 36.1339 + 33.5274i 1.42832 + 1.32529i
\(641\) −15.7679 40.1759i −0.622794 1.58685i −0.798224 0.602361i \(-0.794227\pi\)
0.175430 0.984492i \(-0.443868\pi\)
\(642\) 7.78087 2.40008i 0.307086 0.0947236i
\(643\) −9.59265 42.0282i −0.378297 1.65743i −0.702682 0.711504i \(-0.748014\pi\)
0.324385 0.945925i \(-0.394843\pi\)
\(644\) 11.4879 + 3.18539i 0.452687 + 0.125522i
\(645\) 0.419246 1.83684i 0.0165078 0.0723254i
\(646\) −0.106795 1.42509i −0.00420181 0.0560692i
\(647\) 7.90679 + 2.43892i 0.310848 + 0.0958839i 0.446254 0.894906i \(-0.352758\pi\)
−0.135406 + 0.990790i \(0.543234\pi\)
\(648\) −2.44543 + 32.6320i −0.0960655 + 1.28191i
\(649\) 4.10807 10.4672i 0.161256 0.410873i
\(650\) −1.43084 + 0.689058i −0.0561223 + 0.0270271i
\(651\) −0.594170 + 2.99748i −0.0232874 + 0.117480i
\(652\) −49.3684 23.7746i −1.93342 0.931085i
\(653\) −6.80243 + 6.31174i −0.266200 + 0.246997i −0.801967 0.597369i \(-0.796213\pi\)
0.535767 + 0.844366i \(0.320023\pi\)
\(654\) −6.11115 + 0.921107i −0.238965 + 0.0360182i
\(655\) −10.5371 + 18.2507i −0.411717 + 0.713115i
\(656\) 14.1592 + 24.5244i 0.552824 + 0.957519i
\(657\) −9.03977 11.3355i −0.352675 0.442241i
\(658\) −28.6122 3.47580i −1.11542 0.135501i
\(659\) 2.23654 2.80453i 0.0871233 0.109249i −0.736359 0.676591i \(-0.763457\pi\)
0.823483 + 0.567342i \(0.192028\pi\)
\(660\) 9.13956 + 1.37757i 0.355757 + 0.0536217i
\(661\) −15.6407 + 10.6636i −0.608352 + 0.414768i −0.827933 0.560827i \(-0.810483\pi\)
0.219581 + 0.975594i \(0.429531\pi\)
\(662\) −53.3119 + 36.3474i −2.07202 + 1.41268i
\(663\) 0.0921759 + 0.0138933i 0.00357982 + 0.000539570i
\(664\) −18.6853 + 23.4306i −0.725130 + 0.909284i
\(665\) 14.1405 4.81050i 0.548345 0.186543i
\(666\) 9.63545 + 12.0825i 0.373366 + 0.468186i
\(667\) 4.97455 + 8.61617i 0.192615 + 0.333620i
\(668\) −11.2061 + 19.4095i −0.433576 + 0.750976i
\(669\) 9.85036 1.48470i 0.380837 0.0574019i
\(670\) −51.4186 + 47.7095i −1.98647 + 1.84318i
\(671\) 8.48920 + 4.08818i 0.327722 + 0.157823i
\(672\) 1.93397 1.00074i 0.0746046 0.0386043i
\(673\) −26.6725 + 12.8448i −1.02815 + 0.495131i −0.870399 0.492347i \(-0.836139\pi\)
−0.157752 + 0.987479i \(0.550425\pi\)
\(674\) 16.6866 42.5167i 0.642743 1.63768i
\(675\) 0.107668 1.43672i 0.00414413 0.0552995i
\(676\) 3.58699 + 1.10644i 0.137961 + 0.0425554i
\(677\) −2.64453 35.2887i −0.101637 1.35626i −0.781953 0.623337i \(-0.785776\pi\)
0.680316 0.732919i \(-0.261843\pi\)
\(678\) 3.26320 14.2970i 0.125322 0.549073i
\(679\) 20.5356 38.0514i 0.788084 1.46028i
\(680\) 0.559344 + 2.45064i 0.0214499 + 0.0939779i
\(681\) −2.49499 + 0.769602i −0.0956081 + 0.0294912i
\(682\) −7.60072 19.3663i −0.291046 0.741574i
\(683\) 32.0077 + 29.6988i 1.22474 + 1.13639i 0.986252 + 0.165246i \(0.0528420\pi\)
0.238487 + 0.971146i \(0.423349\pi\)
\(684\) 21.0611 + 14.3592i 0.805290 + 0.549037i
\(685\) −27.7269 −1.05939
\(686\) −38.7222 21.7746i −1.47842 0.831360i
\(687\) 6.40289 0.244286
\(688\) −4.55253 3.10387i −0.173564 0.118334i
\(689\) −6.47104 6.00425i −0.246527 0.228744i
\(690\) −0.929169 2.36748i −0.0353729 0.0901286i
\(691\) −18.2951 + 5.64328i −0.695977 + 0.214681i −0.622504 0.782617i \(-0.713885\pi\)
−0.0734734 + 0.997297i \(0.523408\pi\)
\(692\) 1.82780 + 8.00813i 0.0694827 + 0.304424i
\(693\) −10.0255 + 18.5768i −0.380838 + 0.705672i
\(694\) 17.9240 78.5300i 0.680384 2.98096i
\(695\) 0.831251 + 11.0923i 0.0315311 + 0.420754i
\(696\) −12.3682 3.81508i −0.468815 0.144610i
\(697\) 0.205721 2.74515i 0.00779223 0.103980i
\(698\) 30.3363 77.2956i 1.14825 2.92568i
\(699\) −3.77174 + 1.81637i −0.142660 + 0.0687016i
\(700\) −5.83989 + 3.02186i −0.220727 + 0.114216i
\(701\) 9.68915 + 4.66605i 0.365954 + 0.176234i 0.607819 0.794076i \(-0.292045\pi\)
−0.241865 + 0.970310i \(0.577759\pi\)
\(702\) −3.82643 + 3.55041i −0.144419 + 0.134001i
\(703\) 5.28076 0.795946i 0.199168 0.0300197i
\(704\) −14.6135 + 25.3113i −0.550766 + 0.953954i
\(705\) 2.00580 + 3.47415i 0.0755429 + 0.130844i
\(706\) 14.3736 + 18.0239i 0.540958 + 0.678340i
\(707\) 25.3496 8.62379i 0.953372 0.324331i
\(708\) 3.50454 4.39455i 0.131709 0.165157i
\(709\) 30.0835 + 4.53436i 1.12981 + 0.170291i 0.687231 0.726439i \(-0.258826\pi\)
0.442578 + 0.896730i \(0.354064\pi\)
\(710\) 8.62553 5.88079i 0.323710 0.220702i
\(711\) −10.0788 + 6.87159i −0.377984 + 0.257705i
\(712\) 20.4515 + 3.08257i 0.766454 + 0.115524i
\(713\) −2.32859 + 2.91996i −0.0872064 + 0.109353i
\(714\) 0.587272 + 0.0713414i 0.0219781 + 0.00266989i
\(715\) −4.13565 5.18594i −0.154665 0.193943i
\(716\) 9.44452 + 16.3584i 0.352958 + 0.611342i
\(717\) −1.68307 + 2.91515i −0.0628552 + 0.108868i
\(718\) −29.6426 + 4.46790i −1.10625 + 0.166741i
\(719\) −38.6354 + 35.8484i −1.44086 + 1.33692i −0.594747 + 0.803913i \(0.702748\pi\)
−0.846111 + 0.533007i \(0.821062\pi\)
\(720\) −15.8510 7.63345i −0.590733 0.284482i
\(721\) −9.14378 + 46.1286i −0.340532 + 1.71792i
\(722\) −28.8972 + 13.9162i −1.07544 + 0.517906i
\(723\) 0.0561424 0.143048i 0.00208796 0.00532003i
\(724\) −4.43862 + 59.2292i −0.164960 + 2.20124i
\(725\) −5.24377 1.61749i −0.194749 0.0600720i
\(726\) −0.214891 2.86752i −0.00797536 0.106424i
\(727\) 7.59109 33.2588i 0.281538 1.23350i −0.614284 0.789085i \(-0.710555\pi\)
0.895822 0.444414i \(-0.146588\pi\)
\(728\) 10.7253 + 2.97394i 0.397508 + 0.110222i
\(729\) 4.41506 + 19.3436i 0.163521 + 0.716431i
\(730\) 27.6284 8.52223i 1.02257 0.315422i
\(731\) 0.195686 + 0.498600i 0.00723771 + 0.0184414i
\(732\) 3.45266 + 3.20360i 0.127614 + 0.118408i
\(733\) 30.2383 + 20.6161i 1.11688 + 0.761474i 0.973612 0.228210i \(-0.0732872\pi\)
0.143266 + 0.989684i \(0.454240\pi\)
\(734\) 57.3145 2.11552
\(735\) 0.815185 + 6.12915i 0.0300685 + 0.226077i
\(736\) 2.66138 0.0980998
\(737\) −28.3044 19.2976i −1.04261 0.710836i
\(738\) 55.1722 + 51.1923i 2.03092 + 1.88441i
\(739\) −4.27560 10.8941i −0.157281 0.400744i 0.830412 0.557149i \(-0.188105\pi\)
−0.987693 + 0.156405i \(0.950010\pi\)
\(740\) −19.2125 + 5.92629i −0.706267 + 0.217855i
\(741\) 0.195975 + 0.858623i 0.00719932 + 0.0315423i
\(742\) −42.1446 36.9105i −1.54718 1.35503i
\(743\) −1.57366 + 6.89465i −0.0577319 + 0.252940i −0.995556 0.0941707i \(-0.969980\pi\)
0.937824 + 0.347111i \(0.112837\pi\)
\(744\) −0.363093 4.84514i −0.0133116 0.177631i
\(745\) −6.84535 2.11151i −0.250794 0.0773598i
\(746\) 0.435599 5.81266i 0.0159484 0.212817i
\(747\) −7.44942 + 18.9808i −0.272560 + 0.694471i
\(748\) −2.36743 + 1.14009i −0.0865617 + 0.0416859i
\(749\) −22.0908 9.86743i −0.807180 0.360548i
\(750\) −8.28091 3.98787i −0.302376 0.145617i
\(751\) −7.95563 + 7.38175i −0.290305 + 0.269364i −0.811858 0.583855i \(-0.801544\pi\)
0.521553 + 0.853219i \(0.325353\pi\)
\(752\) 11.6008 1.74855i 0.423039 0.0637629i
\(753\) 1.93172 3.34584i 0.0703958 0.121929i
\(754\) 9.94076 + 17.2179i 0.362021 + 0.627039i
\(755\) 24.1944 + 30.3388i 0.880525 + 1.10414i
\(756\) −15.4143 + 15.1488i −0.560613 + 0.550956i
\(757\) 12.9134 16.1929i 0.469345 0.588540i −0.489665 0.871910i \(-0.662881\pi\)
0.959011 + 0.283370i \(0.0914525\pi\)
\(758\) −28.1106 4.23699i −1.02102 0.153894i
\(759\) 1.02628 0.699704i 0.0372515 0.0253976i
\(760\) −19.6222 + 13.3782i −0.711772 + 0.485278i
\(761\) 41.5899 + 6.26867i 1.50763 + 0.227239i 0.850275 0.526340i \(-0.176436\pi\)
0.657358 + 0.753579i \(0.271674\pi\)
\(762\) −5.55494 + 6.96568i −0.201234 + 0.252340i
\(763\) 15.4632 + 9.90459i 0.559806 + 0.358570i
\(764\) −28.4474 35.6719i −1.02919 1.29056i
\(765\) 0.855128 + 1.48113i 0.0309172 + 0.0535502i
\(766\) −43.5536 + 75.4370i −1.57365 + 2.72565i
\(767\) −3.98873 + 0.601204i −0.144025 + 0.0217082i
\(768\) −7.81537 + 7.25160i −0.282013 + 0.261670i
\(769\) −40.3765 19.4443i −1.45601 0.701179i −0.472386 0.881392i \(-0.656607\pi\)
−0.983628 + 0.180212i \(0.942322\pi\)
\(770\) −27.1804 32.1448i −0.979513 1.15842i
\(771\) 3.82749 1.84322i 0.137844 0.0663820i
\(772\) 23.3554 59.5086i 0.840579 2.14176i
\(773\) 3.32465 44.3644i