Properties

Label 637.2.bl.a.625.27
Level $637$
Weight $2$
Character 637.625
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 625.27
Character \(\chi\) \(=\) 637.625
Dual form 637.2.bl.a.53.27

$q$-expansion

\(f(q)\) \(=\) \(q+(2.14872 - 1.46497i) q^{2} +(0.378204 - 0.350922i) q^{3} +(1.74017 - 4.43389i) q^{4} +(0.273927 + 0.0844952i) q^{5} +(0.298564 - 1.30809i) q^{6} +(2.61705 + 0.388620i) q^{7} +(-1.59901 - 7.00570i) q^{8} +(-0.204298 + 2.72617i) q^{9} +O(q^{10})\) \(q+(2.14872 - 1.46497i) q^{2} +(0.378204 - 0.350922i) q^{3} +(1.74017 - 4.43389i) q^{4} +(0.273927 + 0.0844952i) q^{5} +(0.298564 - 1.30809i) q^{6} +(2.61705 + 0.388620i) q^{7} +(-1.59901 - 7.00570i) q^{8} +(-0.204298 + 2.72617i) q^{9} +(0.712375 - 0.219739i) q^{10} +(-0.103468 - 1.38068i) q^{11} +(-0.897810 - 2.28758i) q^{12} +(0.900969 + 0.433884i) q^{13} +(6.19264 - 2.99888i) q^{14} +(0.133252 - 0.0641705i) q^{15} +(-6.71571 - 6.23127i) q^{16} +(-1.96613 - 0.296347i) q^{17} +(3.55479 + 6.15707i) q^{18} +(-2.10278 + 3.64213i) q^{19} +(0.851323 - 1.06752i) q^{20} +(1.12616 - 0.771405i) q^{21} +(-2.24499 - 2.81512i) q^{22} +(-6.82209 + 1.02826i) q^{23} +(-3.06321 - 2.08846i) q^{24} +(-4.06330 - 2.77031i) q^{25} +(2.57156 - 0.387600i) q^{26} +(1.84444 + 2.31286i) q^{27} +(6.27723 - 10.9275i) q^{28} +(-0.519835 + 0.651852i) q^{29} +(0.192312 - 0.333095i) q^{30} +(1.15437 + 1.99943i) q^{31} +(-9.34762 - 1.40893i) q^{32} +(-0.523644 - 0.485871i) q^{33} +(-4.65882 + 2.24357i) q^{34} +(0.684044 + 0.327582i) q^{35} +(11.7320 + 5.64985i) q^{36} +(-3.10075 - 7.90058i) q^{37} +(0.817325 + 10.9064i) q^{38} +(0.493010 - 0.152073i) q^{39} +(0.153938 - 2.05416i) q^{40} +(2.75943 + 12.0899i) q^{41} +(1.28971 - 3.30733i) q^{42} +(1.89945 - 8.32202i) q^{43} +(-6.30184 - 1.94386i) q^{44} +(-0.286311 + 0.729509i) q^{45} +(-13.1524 + 12.2036i) q^{46} +(-6.91229 + 4.71272i) q^{47} -4.72660 q^{48} +(6.69795 + 2.03408i) q^{49} -12.7893 q^{50} +(-0.847596 + 0.577881i) q^{51} +(3.49164 - 3.23977i) q^{52} +(-0.798507 + 2.03456i) q^{53} +(7.35146 + 2.26763i) q^{54} +(0.0883184 - 0.386948i) q^{55} +(-1.46213 - 18.9557i) q^{56} +(0.482823 + 2.11538i) q^{57} +(-0.162034 + 2.16219i) q^{58} +(12.8590 - 3.96648i) q^{59} +(-0.0526444 - 0.702491i) q^{60} +(0.510446 + 1.30059i) q^{61} +(5.40954 + 2.60509i) q^{62} +(-1.59410 + 7.05514i) q^{63} +(-5.64138 + 2.71674i) q^{64} +(0.210138 + 0.194980i) q^{65} +(-1.83695 - 0.276876i) q^{66} +(0.370545 + 0.641803i) q^{67} +(-4.73539 + 8.20193i) q^{68} +(-2.21930 + 2.78292i) q^{69} +(1.94972 - 0.298225i) q^{70} +(5.60020 + 7.02243i) q^{71} +(19.4254 - 2.92791i) q^{72} +(-6.26868 - 4.27391i) q^{73} +(-18.2368 - 12.4336i) q^{74} +(-2.50892 + 0.378159i) q^{75} +(12.4896 + 15.6615i) q^{76} +(0.265780 - 3.65353i) q^{77} +(0.836557 - 1.04901i) q^{78} +(7.52796 - 13.0388i) q^{79} +(-1.31310 - 2.27436i) q^{80} +(-6.60063 - 0.994885i) q^{81} +(23.6406 + 21.9353i) q^{82} +(-0.552565 + 0.266101i) q^{83} +(-1.46062 - 6.33564i) q^{84} +(-0.513537 - 0.247306i) q^{85} +(-8.11015 - 20.6643i) q^{86} +(0.0321457 + 0.428955i) q^{87} +(-9.50720 + 2.93258i) q^{88} +(0.621907 - 8.29877i) q^{89} +(0.453508 + 1.98695i) q^{90} +(2.18927 + 1.48563i) q^{91} +(-7.31241 + 32.0378i) q^{92} +(1.13823 + 0.351098i) q^{93} +(-7.94857 + 20.2526i) q^{94} +(-0.883751 + 0.820001i) q^{95} +(-4.02974 + 2.74743i) q^{96} -7.36573 q^{97} +(17.3719 - 5.44165i) q^{98} +3.78511 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.14872 1.46497i 1.51938 1.03589i 0.538190 0.842823i \(-0.319108\pi\)
0.981185 0.193069i \(-0.0618442\pi\)
\(3\) 0.378204 0.350922i 0.218356 0.202605i −0.563408 0.826179i \(-0.690510\pi\)
0.781765 + 0.623573i \(0.214320\pi\)
\(4\) 1.74017 4.43389i 0.870087 2.21695i
\(5\) 0.273927 + 0.0844952i 0.122504 + 0.0377874i 0.355401 0.934714i \(-0.384344\pi\)
−0.232897 + 0.972501i \(0.574821\pi\)
\(6\) 0.298564 1.30809i 0.121888 0.534027i
\(7\) 2.61705 + 0.388620i 0.989154 + 0.146885i
\(8\) −1.59901 7.00570i −0.565334 2.47689i
\(9\) −0.204298 + 2.72617i −0.0680994 + 0.908724i
\(10\) 0.712375 0.219739i 0.225273 0.0694875i
\(11\) −0.103468 1.38068i −0.0311967 0.416291i −0.990837 0.135062i \(-0.956877\pi\)
0.959641 0.281230i \(-0.0907423\pi\)
\(12\) −0.897810 2.28758i −0.259176 0.660369i
\(13\) 0.900969 + 0.433884i 0.249884 + 0.120338i
\(14\) 6.19264 2.99888i 1.65505 0.801484i
\(15\) 0.133252 0.0641705i 0.0344054 0.0165688i
\(16\) −6.71571 6.23127i −1.67893 1.55782i
\(17\) −1.96613 0.296347i −0.476858 0.0718747i −0.0937841 0.995593i \(-0.529896\pi\)
−0.383074 + 0.923718i \(0.625134\pi\)
\(18\) 3.55479 + 6.15707i 0.837871 + 1.45124i
\(19\) −2.10278 + 3.64213i −0.482412 + 0.835562i −0.999796 0.0201913i \(-0.993572\pi\)
0.517384 + 0.855753i \(0.326906\pi\)
\(20\) 0.851323 1.06752i 0.190362 0.238706i
\(21\) 1.12616 0.771405i 0.245748 0.168334i
\(22\) −2.24499 2.81512i −0.478632 0.600186i
\(23\) −6.82209 + 1.02826i −1.42250 + 0.214408i −0.814794 0.579751i \(-0.803150\pi\)
−0.607710 + 0.794159i \(0.707912\pi\)
\(24\) −3.06321 2.08846i −0.625275 0.426305i
\(25\) −4.06330 2.77031i −0.812660 0.554062i
\(26\) 2.57156 0.387600i 0.504324 0.0760147i
\(27\) 1.84444 + 2.31286i 0.354963 + 0.445109i
\(28\) 6.27723 10.9275i 1.18628 2.06510i
\(29\) −0.519835 + 0.651852i −0.0965309 + 0.121046i −0.827751 0.561096i \(-0.810380\pi\)
0.731220 + 0.682142i \(0.238951\pi\)
\(30\) 0.192312 0.333095i 0.0351112 0.0608145i
\(31\) 1.15437 + 1.99943i 0.207331 + 0.359108i 0.950873 0.309581i \(-0.100189\pi\)
−0.743542 + 0.668690i \(0.766856\pi\)
\(32\) −9.34762 1.40893i −1.65244 0.249065i
\(33\) −0.523644 0.485871i −0.0911547 0.0845792i
\(34\) −4.65882 + 2.24357i −0.798980 + 0.384769i
\(35\) 0.684044 + 0.327582i 0.115625 + 0.0553714i
\(36\) 11.7320 + 5.64985i 1.95534 + 0.941641i
\(37\) −3.10075 7.90058i −0.509760 1.29885i −0.921794 0.387679i \(-0.873277\pi\)
0.412034 0.911168i \(-0.364818\pi\)
\(38\) 0.817325 + 10.9064i 0.132588 + 1.76926i
\(39\) 0.493010 0.152073i 0.0789448 0.0243512i
\(40\) 0.153938 2.05416i 0.0243397 0.324791i
\(41\) 2.75943 + 12.0899i 0.430951 + 1.88812i 0.458857 + 0.888510i \(0.348259\pi\)
−0.0279056 + 0.999611i \(0.508884\pi\)
\(42\) 1.28971 3.30733i 0.199006 0.510331i
\(43\) 1.89945 8.32202i 0.289663 1.26910i −0.595326 0.803484i \(-0.702977\pi\)
0.884989 0.465612i \(-0.154166\pi\)
\(44\) −6.30184 1.94386i −0.950039 0.293048i
\(45\) −0.286311 + 0.729509i −0.0426807 + 0.108749i
\(46\) −13.1524 + 12.2036i −1.93921 + 1.79933i
\(47\) −6.91229 + 4.71272i −1.00826 + 0.687420i −0.950440 0.310907i \(-0.899367\pi\)
−0.0578202 + 0.998327i \(0.518415\pi\)
\(48\) −4.72660 −0.682226
\(49\) 6.69795 + 2.03408i 0.956850 + 0.290583i
\(50\) −12.7893 −1.80868
\(51\) −0.847596 + 0.577881i −0.118687 + 0.0809195i
\(52\) 3.49164 3.23977i 0.484203 0.449275i
\(53\) −0.798507 + 2.03456i −0.109683 + 0.279469i −0.975168 0.221467i \(-0.928915\pi\)
0.865484 + 0.500936i \(0.167011\pi\)
\(54\) 7.35146 + 2.26763i 1.00041 + 0.308585i
\(55\) 0.0883184 0.386948i 0.0119088 0.0521761i
\(56\) −1.46213 18.9557i −0.195385 2.53306i
\(57\) 0.482823 + 2.11538i 0.0639514 + 0.280189i
\(58\) −0.162034 + 2.16219i −0.0212761 + 0.283910i
\(59\) 12.8590 3.96648i 1.67410 0.516392i 0.694869 0.719136i \(-0.255462\pi\)
0.979232 + 0.202744i \(0.0649861\pi\)
\(60\) −0.0526444 0.702491i −0.00679636 0.0906912i
\(61\) 0.510446 + 1.30059i 0.0653559 + 0.166524i 0.959821 0.280615i \(-0.0905383\pi\)
−0.894465 + 0.447139i \(0.852443\pi\)
\(62\) 5.40954 + 2.60509i 0.687012 + 0.330847i
\(63\) −1.59410 + 7.05514i −0.200838 + 0.888864i
\(64\) −5.64138 + 2.71674i −0.705172 + 0.339593i
\(65\) 0.210138 + 0.194980i 0.0260644 + 0.0241843i
\(66\) −1.83695 0.276876i −0.226113 0.0340811i
\(67\) 0.370545 + 0.641803i 0.0452693 + 0.0784088i 0.887772 0.460283i \(-0.152252\pi\)
−0.842503 + 0.538692i \(0.818919\pi\)
\(68\) −4.73539 + 8.20193i −0.574250 + 0.994630i
\(69\) −2.21930 + 2.78292i −0.267173 + 0.335024i
\(70\) 1.94972 0.298225i 0.233036 0.0356447i
\(71\) 5.60020 + 7.02243i 0.664621 + 0.833409i 0.993838 0.110846i \(-0.0353560\pi\)
−0.329216 + 0.944254i \(0.606785\pi\)
\(72\) 19.4254 2.92791i 2.28931 0.345057i
\(73\) −6.26868 4.27391i −0.733693 0.500224i 0.137904 0.990446i \(-0.455963\pi\)
−0.871598 + 0.490222i \(0.836916\pi\)
\(74\) −18.2368 12.4336i −2.11998 1.44538i
\(75\) −2.50892 + 0.378159i −0.289705 + 0.0436660i
\(76\) 12.4896 + 15.6615i 1.43266 + 1.79649i
\(77\) 0.265780 3.65353i 0.0302884 0.416358i
\(78\) 0.836557 1.04901i 0.0947215 0.118777i
\(79\) 7.52796 13.0388i 0.846961 1.46698i −0.0369455 0.999317i \(-0.511763\pi\)
0.883907 0.467663i \(-0.154904\pi\)
\(80\) −1.31310 2.27436i −0.146809 0.254281i
\(81\) −6.60063 0.994885i −0.733404 0.110543i
\(82\) 23.6406 + 21.9353i 2.61067 + 2.42235i
\(83\) −0.552565 + 0.266101i −0.0606519 + 0.0292084i −0.463964 0.885854i \(-0.653573\pi\)
0.403312 + 0.915063i \(0.367859\pi\)
\(84\) −1.46062 6.33564i −0.159367 0.691275i
\(85\) −0.513537 0.247306i −0.0557009 0.0268241i
\(86\) −8.11015 20.6643i −0.874540 2.22829i
\(87\) 0.0321457 + 0.428955i 0.00344639 + 0.0459888i
\(88\) −9.50720 + 2.93258i −1.01347 + 0.312614i
\(89\) 0.621907 8.29877i 0.0659220 0.879668i −0.862003 0.506902i \(-0.830790\pi\)
0.927925 0.372766i \(-0.121591\pi\)
\(90\) 0.453508 + 1.98695i 0.0478039 + 0.209443i
\(91\) 2.18927 + 1.48563i 0.229498 + 0.155737i
\(92\) −7.31241 + 32.0378i −0.762372 + 3.34017i
\(93\) 1.13823 + 0.351098i 0.118029 + 0.0364072i
\(94\) −7.94857 + 20.2526i −0.819833 + 2.08890i
\(95\) −0.883751 + 0.820001i −0.0906710 + 0.0841304i
\(96\) −4.02974 + 2.74743i −0.411283 + 0.280408i
\(97\) −7.36573 −0.747877 −0.373938 0.927454i \(-0.621993\pi\)
−0.373938 + 0.927454i \(0.621993\pi\)
\(98\) 17.3719 5.44165i 1.75483 0.549689i
\(99\) 3.78511 0.380418
\(100\) −19.3541 + 13.1954i −1.93541 + 1.31954i
\(101\) 1.63096 1.51331i 0.162287 0.150580i −0.594849 0.803837i \(-0.702788\pi\)
0.757136 + 0.653257i \(0.226598\pi\)
\(102\) −0.974667 + 2.48341i −0.0965064 + 0.245894i
\(103\) 11.8862 + 3.66642i 1.17119 + 0.361263i 0.818515 0.574485i \(-0.194798\pi\)
0.352670 + 0.935748i \(0.385274\pi\)
\(104\) 1.59901 7.00570i 0.156795 0.686965i
\(105\) 0.373664 0.116154i 0.0364659 0.0113354i
\(106\) 1.26481 + 5.54150i 0.122849 + 0.538238i
\(107\) −1.23172 + 16.4361i −0.119075 + 1.58894i 0.543150 + 0.839636i \(0.317232\pi\)
−0.662224 + 0.749306i \(0.730387\pi\)
\(108\) 13.4646 4.15328i 1.29563 0.399650i
\(109\) −0.518188 6.91473i −0.0496334 0.662311i −0.965429 0.260667i \(-0.916058\pi\)
0.915796 0.401645i \(-0.131561\pi\)
\(110\) −0.377097 0.960827i −0.0359548 0.0916113i
\(111\) −3.94521 1.89991i −0.374463 0.180332i
\(112\) −15.1538 18.9174i −1.43190 1.78753i
\(113\) 4.49695 2.16562i 0.423038 0.203724i −0.210238 0.977650i \(-0.567424\pi\)
0.633276 + 0.773926i \(0.281710\pi\)
\(114\) 4.13643 + 3.83805i 0.387412 + 0.359466i
\(115\) −1.95564 0.294765i −0.182364 0.0274869i
\(116\) 1.98564 + 3.43923i 0.184362 + 0.319324i
\(117\) −1.36691 + 2.36755i −0.126371 + 0.218880i
\(118\) 21.8196 27.3610i 2.00866 2.51878i
\(119\) −5.03032 1.53964i −0.461128 0.141138i
\(120\) −0.662630 0.830911i −0.0604895 0.0758515i
\(121\) 8.98156 1.35375i 0.816506 0.123068i
\(122\) 3.00214 + 2.04683i 0.271801 + 0.185311i
\(123\) 5.28624 + 3.60410i 0.476644 + 0.324970i
\(124\) 10.8741 1.63900i 0.976520 0.147187i
\(125\) −1.77262 2.22280i −0.158548 0.198813i
\(126\) 6.91031 + 17.4949i 0.615619 + 1.55857i
\(127\) −6.23530 + 7.81881i −0.553293 + 0.693808i −0.977302 0.211850i \(-0.932051\pi\)
0.424009 + 0.905658i \(0.360622\pi\)
\(128\) 1.31142 2.27144i 0.115914 0.200769i
\(129\) −2.20200 3.81398i −0.193876 0.335802i
\(130\) 0.737169 + 0.111110i 0.0646540 + 0.00974502i
\(131\) −9.46166 8.77914i −0.826669 0.767037i 0.148403 0.988927i \(-0.452587\pi\)
−0.975072 + 0.221890i \(0.928777\pi\)
\(132\) −3.06553 + 1.47628i −0.266820 + 0.128494i
\(133\) −6.91851 + 8.71447i −0.599911 + 0.755640i
\(134\) 1.73642 + 0.836218i 0.150004 + 0.0722382i
\(135\) 0.309816 + 0.789399i 0.0266648 + 0.0679407i
\(136\) 1.06774 + 14.2480i 0.0915580 + 1.22176i
\(137\) −5.58050 + 1.72136i −0.476774 + 0.147065i −0.523823 0.851827i \(-0.675495\pi\)
0.0470485 + 0.998893i \(0.485018\pi\)
\(138\) −0.691763 + 9.23094i −0.0588868 + 0.785790i
\(139\) −1.81108 7.93485i −0.153614 0.673025i −0.991817 0.127668i \(-0.959251\pi\)
0.838203 0.545358i \(-0.183606\pi\)
\(140\) 2.64282 2.46293i 0.223359 0.208156i
\(141\) −0.960459 + 4.20805i −0.0808853 + 0.354381i
\(142\) 22.3209 + 6.88510i 1.87313 + 0.577784i
\(143\) 0.505834 1.28884i 0.0423000 0.107779i
\(144\) 18.3595 17.0351i 1.52996 1.41959i
\(145\) −0.197475 + 0.134636i −0.0163994 + 0.0111809i
\(146\) −19.7308 −1.63293
\(147\) 3.24700 1.58116i 0.267808 0.130412i
\(148\) −40.4262 −3.32301
\(149\) 8.94195 6.09652i 0.732553 0.499446i −0.138667 0.990339i \(-0.544282\pi\)
0.871220 + 0.490893i \(0.163329\pi\)
\(150\) −4.83698 + 4.48806i −0.394938 + 0.366449i
\(151\) −5.39459 + 13.7452i −0.439006 + 1.11857i 0.524626 + 0.851333i \(0.324205\pi\)
−0.963631 + 0.267235i \(0.913890\pi\)
\(152\) 28.8780 + 8.90769i 2.34232 + 0.722509i
\(153\) 1.20957 5.29947i 0.0977880 0.428437i
\(154\) −4.78124 8.23977i −0.385283 0.663980i
\(155\) 0.147271 + 0.645236i 0.0118291 + 0.0518266i
\(156\) 0.183646 2.45059i 0.0147035 0.196204i
\(157\) −6.21032 + 1.91563i −0.495638 + 0.152884i −0.532489 0.846437i \(-0.678743\pi\)
0.0368516 + 0.999321i \(0.488267\pi\)
\(158\) −2.92602 39.0450i −0.232782 3.10625i
\(159\) 0.411975 + 1.04969i 0.0326717 + 0.0832462i
\(160\) −2.44151 1.17577i −0.193019 0.0929529i
\(161\) −18.2534 + 0.0398246i −1.43857 + 0.00313862i
\(162\) −15.6404 + 7.53202i −1.22883 + 0.591771i
\(163\) −6.63731 6.15852i −0.519874 0.482373i 0.376038 0.926604i \(-0.377286\pi\)
−0.895912 + 0.444232i \(0.853477\pi\)
\(164\) 58.4071 + 8.80345i 4.56083 + 0.687434i
\(165\) −0.102386 0.177338i −0.00797076 0.0138058i
\(166\) −0.797477 + 1.38127i −0.0618962 + 0.107207i
\(167\) −3.32039 + 4.16364i −0.256940 + 0.322192i −0.893524 0.449015i \(-0.851775\pi\)
0.636585 + 0.771207i \(0.280347\pi\)
\(168\) −7.20497 6.65604i −0.555875 0.513524i
\(169\) 0.623490 + 0.781831i 0.0479608 + 0.0601409i
\(170\) −1.46574 + 0.220925i −0.112417 + 0.0169442i
\(171\) −9.49947 6.47663i −0.726443 0.495280i
\(172\) −33.5935 22.9037i −2.56148 1.74639i
\(173\) 11.1896 1.68657i 0.850732 0.128227i 0.290819 0.956778i \(-0.406072\pi\)
0.559914 + 0.828551i \(0.310834\pi\)
\(174\) 0.697480 + 0.874612i 0.0528758 + 0.0663042i
\(175\) −9.55727 8.82913i −0.722462 0.667419i
\(176\) −7.90854 + 9.91699i −0.596128 + 0.747521i
\(177\) 3.47141 6.01266i 0.260927 0.451939i
\(178\) −10.8212 18.7428i −0.811082 1.40483i
\(179\) −19.6449 2.96099i −1.46833 0.221314i −0.634320 0.773071i \(-0.718720\pi\)
−0.834006 + 0.551756i \(0.813958\pi\)
\(180\) 2.73633 + 2.53894i 0.203954 + 0.189242i
\(181\) −14.6838 + 7.07134i −1.09144 + 0.525608i −0.890956 0.454089i \(-0.849965\pi\)
−0.200481 + 0.979698i \(0.564250\pi\)
\(182\) 6.88054 0.0150117i 0.510020 0.00111274i
\(183\) 0.649461 + 0.312764i 0.0480095 + 0.0231202i
\(184\) 18.1123 + 46.1493i 1.33525 + 3.40217i
\(185\) −0.181817 2.42618i −0.0133674 0.178376i
\(186\) 2.96010 0.913069i 0.217045 0.0669495i
\(187\) −0.205729 + 2.74527i −0.0150444 + 0.200754i
\(188\) 8.86710 + 38.8493i 0.646699 + 2.83338i
\(189\) 3.92818 + 6.76966i 0.285733 + 0.492420i
\(190\) −0.697655 + 3.05663i −0.0506132 + 0.221751i
\(191\) −3.07177 0.947517i −0.222266 0.0685599i 0.181622 0.983368i \(-0.441865\pi\)
−0.403888 + 0.914808i \(0.632341\pi\)
\(192\) −1.18023 + 3.00717i −0.0851756 + 0.217024i
\(193\) 2.44637 2.26990i 0.176093 0.163391i −0.587202 0.809440i \(-0.699771\pi\)
0.763295 + 0.646050i \(0.223580\pi\)
\(194\) −15.8269 + 10.7906i −1.13631 + 0.774720i
\(195\) 0.147898 0.0105912
\(196\) 20.6745 26.1583i 1.47675 1.86845i
\(197\) 14.8625 1.05891 0.529455 0.848338i \(-0.322397\pi\)
0.529455 + 0.848338i \(0.322397\pi\)
\(198\) 8.13315 5.54509i 0.577998 0.394072i
\(199\) 8.75453 8.12302i 0.620592 0.575826i −0.305935 0.952052i \(-0.598969\pi\)
0.926528 + 0.376227i \(0.122779\pi\)
\(200\) −12.9107 + 32.8960i −0.912926 + 2.32610i
\(201\) 0.365365 + 0.112700i 0.0257709 + 0.00794926i
\(202\) 1.28752 5.64100i 0.0905897 0.396899i
\(203\) −1.61376 + 1.50391i −0.113264 + 0.105554i
\(204\) 1.08730 + 4.76376i 0.0761260 + 0.333530i
\(205\) −0.265653 + 3.54490i −0.0185540 + 0.247586i
\(206\) 30.9114 9.53491i 2.15370 0.664329i
\(207\) −1.40948 18.8083i −0.0979659 1.30726i
\(208\) −3.34700 8.52802i −0.232073 0.591312i
\(209\) 5.24619 + 2.52643i 0.362887 + 0.174757i
\(210\) 0.632739 0.796990i 0.0436631 0.0549976i
\(211\) 4.57446 2.20295i 0.314919 0.151657i −0.269747 0.962931i \(-0.586940\pi\)
0.584666 + 0.811274i \(0.301226\pi\)
\(212\) 7.63149 + 7.08099i 0.524133 + 0.486324i
\(213\) 4.58235 + 0.690678i 0.313977 + 0.0473244i
\(214\) 21.4319 + 37.1211i 1.46505 + 2.53755i
\(215\) 1.22348 2.11913i 0.0834406 0.144523i
\(216\) 13.2539 16.6199i 0.901814 1.13084i
\(217\) 2.24404 + 5.68123i 0.152335 + 0.385667i
\(218\) −11.2433 14.0987i −0.761495 0.954885i
\(219\) −3.87065 + 0.583407i −0.261555 + 0.0394230i
\(220\) −1.56200 1.06495i −0.105310 0.0717990i
\(221\) −1.64285 1.12007i −0.110510 0.0753443i
\(222\) −11.2605 + 1.69724i −0.755753 + 0.113911i
\(223\) −0.651398 0.816827i −0.0436208 0.0546988i 0.759543 0.650458i \(-0.225423\pi\)
−0.803163 + 0.595759i \(0.796851\pi\)
\(224\) −23.9157 7.31991i −1.59793 0.489082i
\(225\) 8.38246 10.5113i 0.558831 0.700752i
\(226\) 6.49013 11.2412i 0.431717 0.747755i
\(227\) −1.25439 2.17267i −0.0832568 0.144205i 0.821390 0.570367i \(-0.193199\pi\)
−0.904647 + 0.426162i \(0.859866\pi\)
\(228\) 10.2196 + 1.54035i 0.676808 + 0.102012i
\(229\) −1.71499 1.59127i −0.113329 0.105154i 0.621473 0.783436i \(-0.286535\pi\)
−0.734802 + 0.678281i \(0.762725\pi\)
\(230\) −4.63394 + 2.23159i −0.305553 + 0.147146i
\(231\) −1.18159 1.47505i −0.0777427 0.0970511i
\(232\) 5.39790 + 2.59949i 0.354390 + 0.170665i
\(233\) −1.10823 2.82373i −0.0726028 0.184989i 0.889966 0.456027i \(-0.150728\pi\)
−0.962568 + 0.271039i \(0.912633\pi\)
\(234\) 0.531299 + 7.08970i 0.0347321 + 0.463468i
\(235\) −2.29166 + 0.706884i −0.149492 + 0.0461120i
\(236\) 4.78998 63.9178i 0.311801 4.16070i
\(237\) −1.72850 7.57306i −0.112278 0.491923i
\(238\) −13.0643 + 4.06103i −0.846831 + 0.263237i
\(239\) −0.647563 + 2.83716i −0.0418874 + 0.183521i −0.991544 0.129773i \(-0.958575\pi\)
0.949656 + 0.313293i \(0.101432\pi\)
\(240\) −1.29474 0.399375i −0.0835753 0.0257796i
\(241\) 10.2552 26.1298i 0.660594 1.68317i −0.0675279 0.997717i \(-0.521511\pi\)
0.728122 0.685448i \(-0.240394\pi\)
\(242\) 17.3157 16.0666i 1.11309 1.03280i
\(243\) −10.1782 + 6.93937i −0.652931 + 0.445161i
\(244\) 6.65496 0.426040
\(245\) 1.66288 + 1.12313i 0.106237 + 0.0717543i
\(246\) 16.6386 1.06084
\(247\) −3.47480 + 2.36908i −0.221097 + 0.150741i
\(248\) 12.1616 11.2843i 0.772260 0.716553i
\(249\) −0.115602 + 0.294548i −0.00732596 + 0.0186662i
\(250\) −7.06521 2.17933i −0.446843 0.137833i
\(251\) −6.40989 + 28.0836i −0.404588 + 1.77262i 0.203835 + 0.979005i \(0.434659\pi\)
−0.608423 + 0.793613i \(0.708198\pi\)
\(252\) 28.5077 + 19.3453i 1.79582 + 1.21864i
\(253\) 2.12557 + 9.31274i 0.133634 + 0.585487i
\(254\) −1.94356 + 25.9350i −0.121950 + 1.62731i
\(255\) −0.281007 + 0.0866792i −0.0175974 + 0.00542806i
\(256\) −1.44557 19.2898i −0.0903480 1.20561i
\(257\) −7.55289 19.2444i −0.471136 1.20044i −0.947091 0.320965i \(-0.895993\pi\)
0.475955 0.879470i \(-0.342103\pi\)
\(258\) −10.3189 4.96931i −0.642425 0.309376i
\(259\) −5.04451 21.8813i −0.313450 1.35964i
\(260\) 1.23020 0.592432i 0.0762936 0.0367410i
\(261\) −1.67086 1.55033i −0.103424 0.0959631i
\(262\) −33.1917 5.00284i −2.05059 0.309076i
\(263\) −2.74119 4.74789i −0.169029 0.292767i 0.769050 0.639189i \(-0.220730\pi\)
−0.938079 + 0.346422i \(0.887397\pi\)
\(264\) −2.56655 + 4.44540i −0.157961 + 0.273596i
\(265\) −0.390643 + 0.489851i −0.0239970 + 0.0300913i
\(266\) −2.09948 + 28.8604i −0.128727 + 1.76954i
\(267\) −2.67702 3.35687i −0.163831 0.205437i
\(268\) 3.49050 0.526108i 0.213216 0.0321372i
\(269\) 20.7762 + 14.1650i 1.26675 + 0.863653i 0.995113 0.0987475i \(-0.0314836\pi\)
0.271634 + 0.962401i \(0.412436\pi\)
\(270\) 1.82216 + 1.24233i 0.110893 + 0.0756056i
\(271\) −13.2062 + 1.99052i −0.802220 + 0.120915i −0.537340 0.843366i \(-0.680571\pi\)
−0.264881 + 0.964281i \(0.585333\pi\)
\(272\) 11.3574 + 14.2417i 0.688642 + 0.863529i
\(273\) 1.34933 0.206391i 0.0816653 0.0124914i
\(274\) −9.46920 + 11.8740i −0.572055 + 0.717335i
\(275\) −3.40449 + 5.89676i −0.205299 + 0.355588i
\(276\) 8.47718 + 14.6829i 0.510267 + 0.883808i
\(277\) 7.63307 + 1.15050i 0.458627 + 0.0691268i 0.374292 0.927311i \(-0.377886\pi\)
0.0843341 + 0.996438i \(0.473124\pi\)
\(278\) −15.5159 14.3966i −0.930579 0.863451i
\(279\) −5.68662 + 2.73853i −0.340449 + 0.163952i
\(280\) 1.20115 5.31602i 0.0717824 0.317693i
\(281\) 14.4897 + 6.97785i 0.864381 + 0.416264i 0.812895 0.582410i \(-0.197890\pi\)
0.0514855 + 0.998674i \(0.483604\pi\)
\(282\) 4.10092 + 10.4490i 0.244206 + 0.622227i
\(283\) 1.46162 + 19.5039i 0.0868840 + 1.15939i 0.854843 + 0.518887i \(0.173654\pi\)
−0.767959 + 0.640499i \(0.778727\pi\)
\(284\) 40.8820 12.6104i 2.42590 0.748291i
\(285\) −0.0464818 + 0.620256i −0.00275334 + 0.0367408i
\(286\) −0.801226 3.51040i −0.0473775 0.207574i
\(287\) 2.52323 + 32.7122i 0.148941 + 1.93094i
\(288\) 5.75068 25.1954i 0.338862 1.48465i
\(289\) −12.4669 3.84552i −0.733346 0.226207i
\(290\) −0.227080 + 0.578591i −0.0133346 + 0.0339760i
\(291\) −2.78575 + 2.58480i −0.163304 + 0.151524i
\(292\) −29.8587 + 20.3573i −1.74735 + 1.19132i
\(293\) −23.4346 −1.36907 −0.684533 0.728982i \(-0.739994\pi\)
−0.684533 + 0.728982i \(0.739994\pi\)
\(294\) 4.66053 8.15424i 0.271808 0.475565i
\(295\) 3.85757 0.224597
\(296\) −50.3910 + 34.3560i −2.92892 + 1.99690i
\(297\) 3.00248 2.78589i 0.174221 0.161654i
\(298\) 10.2825 26.1994i 0.595651 1.51769i
\(299\) −6.59264 2.03356i −0.381262 0.117604i
\(300\) −2.68924 + 11.7823i −0.155264 + 0.680254i
\(301\) 8.20505 21.0410i 0.472931 1.21278i
\(302\) 8.54487 + 37.4375i 0.491702 + 2.15429i
\(303\) 0.0857821 1.14468i 0.00492805 0.0657603i
\(304\) 36.8168 11.3565i 2.11159 0.651338i
\(305\) 0.0299307 + 0.399398i 0.00171383 + 0.0228694i
\(306\) −5.16456 13.1591i −0.295238 0.752255i
\(307\) 8.67580 + 4.17805i 0.495154 + 0.238454i 0.664758 0.747059i \(-0.268535\pi\)
−0.169604 + 0.985512i \(0.554249\pi\)
\(308\) −15.7368 7.53621i −0.896690 0.429416i
\(309\) 5.78206 2.78449i 0.328930 0.158404i
\(310\) 1.26170 + 1.17068i 0.0716596 + 0.0664904i
\(311\) −27.9675 4.21542i −1.58589 0.239035i −0.703900 0.710299i \(-0.748560\pi\)
−0.881992 + 0.471265i \(0.843798\pi\)
\(312\) −1.85371 3.21071i −0.104945 0.181771i
\(313\) 8.20381 14.2094i 0.463707 0.803164i −0.535435 0.844576i \(-0.679852\pi\)
0.999142 + 0.0414123i \(0.0131857\pi\)
\(314\) −10.5379 + 13.2141i −0.594688 + 0.745715i
\(315\) −1.03279 + 1.79790i −0.0581913 + 0.101300i
\(316\) −44.7127 56.0679i −2.51529 3.15407i
\(317\) 0.474525 0.0715231i 0.0266520 0.00401714i −0.135703 0.990750i \(-0.543329\pi\)
0.162355 + 0.986732i \(0.448091\pi\)
\(318\) 2.42299 + 1.65197i 0.135875 + 0.0926378i
\(319\) 0.953787 + 0.650281i 0.0534018 + 0.0364087i
\(320\) −1.77488 + 0.267519i −0.0992185 + 0.0149548i
\(321\) 5.30197 + 6.64846i 0.295927 + 0.371081i
\(322\) −39.1631 + 26.8263i −2.18247 + 1.49497i
\(323\) 5.21369 6.53776i 0.290098 0.363771i
\(324\) −15.8975 + 27.5352i −0.883192 + 1.52973i
\(325\) −2.45891 4.25896i −0.136396 0.236245i
\(326\) −23.2838 3.50947i −1.28957 0.194371i
\(327\) −2.62252 2.43334i −0.145025 0.134564i
\(328\) 80.2857 38.6635i 4.43303 2.13484i
\(329\) −19.9213 + 9.64719i −1.09830 + 0.531867i
\(330\) −0.479796 0.231057i −0.0264119 0.0127193i
\(331\) −1.17353 2.99010i −0.0645029 0.164351i 0.894988 0.446090i \(-0.147184\pi\)
−0.959491 + 0.281739i \(0.909089\pi\)
\(332\) 0.218305 + 2.91308i 0.0119810 + 0.159876i
\(333\) 22.1718 6.83910i 1.21501 0.374780i
\(334\) −1.03498 + 13.8108i −0.0566313 + 0.755693i
\(335\) 0.0472730 + 0.207116i 0.00258280 + 0.0113160i
\(336\) −12.3698 1.83685i −0.674827 0.100208i
\(337\) 6.12670 26.8428i 0.333743 1.46222i −0.478079 0.878317i \(-0.658667\pi\)
0.811821 0.583906i \(-0.198476\pi\)
\(338\) 2.48507 + 0.766542i 0.135170 + 0.0416944i
\(339\) 0.940804 2.39713i 0.0510974 0.130194i
\(340\) −1.99017 + 1.84661i −0.107932 + 0.100147i
\(341\) 2.64114 1.80070i 0.143026 0.0975132i
\(342\) −29.8998 −1.61680
\(343\) 16.7384 + 7.92625i 0.903789 + 0.427977i
\(344\) −61.3388 −3.30717
\(345\) −0.843070 + 0.574795i −0.0453893 + 0.0309459i
\(346\) 21.5726 20.0165i 1.15975 1.07609i
\(347\) −7.91080 + 20.1564i −0.424674 + 1.08205i 0.545170 + 0.838325i \(0.316465\pi\)
−0.969844 + 0.243726i \(0.921630\pi\)
\(348\) 1.95788 + 0.603926i 0.104953 + 0.0323738i
\(349\) 3.67481 16.1004i 0.196708 0.861835i −0.776171 0.630522i \(-0.782841\pi\)
0.972879 0.231313i \(-0.0743022\pi\)
\(350\) −33.4704 4.97019i −1.78907 0.265668i
\(351\) 0.658274 + 2.88409i 0.0351360 + 0.153941i
\(352\) −0.978102 + 13.0519i −0.0521330 + 0.695667i
\(353\) −26.6201 + 8.21121i −1.41684 + 0.437038i −0.906235 0.422775i \(-0.861056\pi\)
−0.510609 + 0.859813i \(0.670580\pi\)
\(354\) −1.34929 18.0050i −0.0717140 0.956957i
\(355\) 0.940682 + 2.39682i 0.0499262 + 0.127210i
\(356\) −35.7136 17.1988i −1.89282 0.911534i
\(357\) −2.44278 + 1.18295i −0.129286 + 0.0626085i
\(358\) −46.5491 + 22.4169i −2.46020 + 1.18477i
\(359\) −0.798197 0.740619i −0.0421272 0.0390884i 0.658828 0.752293i \(-0.271052\pi\)
−0.700956 + 0.713205i \(0.747243\pi\)
\(360\) 5.56853 + 0.839321i 0.293487 + 0.0442361i
\(361\) 0.656593 + 1.13725i 0.0345575 + 0.0598554i
\(362\) −21.1920 + 36.7057i −1.11383 + 1.92921i
\(363\) 2.92180 3.66383i 0.153355 0.192301i
\(364\) 10.3968 7.12172i 0.544943 0.373280i
\(365\) −1.35603 1.70041i −0.0709780 0.0890036i
\(366\) 1.85370 0.279400i 0.0968945 0.0146045i
\(367\) −16.4530 11.2175i −0.858841 0.585548i 0.0518415 0.998655i \(-0.483491\pi\)
−0.910682 + 0.413108i \(0.864443\pi\)
\(368\) 52.2226 + 35.6047i 2.72229 + 1.85603i
\(369\) −33.5228 + 5.05275i −1.74513 + 0.263036i
\(370\) −3.94496 4.94682i −0.205089 0.257173i
\(371\) −2.88041 + 5.01425i −0.149543 + 0.260327i
\(372\) 3.53746 4.43583i 0.183409 0.229987i
\(373\) 4.02054 6.96377i 0.208175 0.360570i −0.742964 0.669331i \(-0.766581\pi\)
0.951140 + 0.308761i \(0.0999142\pi\)
\(374\) 3.57969 + 6.20020i 0.185101 + 0.320605i
\(375\) −1.45044 0.218619i −0.0749006 0.0112894i
\(376\) 44.0687 + 40.8898i 2.27267 + 2.10873i
\(377\) −0.751183 + 0.361751i −0.0386879 + 0.0186311i
\(378\) 18.3579 + 8.79143i 0.944230 + 0.452182i
\(379\) 20.9913 + 10.1089i 1.07825 + 0.519259i 0.886758 0.462234i \(-0.152952\pi\)
0.191495 + 0.981494i \(0.438666\pi\)
\(380\) 2.09792 + 5.34540i 0.107621 + 0.274213i
\(381\) 0.385581 + 5.14522i 0.0197539 + 0.263597i
\(382\) −7.98848 + 2.46412i −0.408726 + 0.126075i
\(383\) −0.451245 + 6.02145i −0.0230576 + 0.307682i 0.973737 + 0.227676i \(0.0731128\pi\)
−0.996794 + 0.0800054i \(0.974506\pi\)
\(384\) −0.301116 1.31927i −0.0153662 0.0673239i
\(385\) 0.381510 0.978342i 0.0194435 0.0498609i
\(386\) 1.93122 8.46123i 0.0982966 0.430665i
\(387\) 22.2992 + 6.87839i 1.13353 + 0.349648i
\(388\) −12.8177 + 32.6589i −0.650718 + 1.65800i
\(389\) 13.7875 12.7930i 0.699056 0.648629i −0.248347 0.968671i \(-0.579887\pi\)
0.947403 + 0.320042i \(0.103697\pi\)
\(390\) 0.317792 0.216667i 0.0160920 0.0109713i
\(391\) 13.7179 0.693743
\(392\) 3.54009 50.1763i 0.178802 2.53429i
\(393\) −6.65924 −0.335914
\(394\) 31.9354 21.7732i 1.60888 1.09692i
\(395\) 3.16382 2.93560i 0.159189 0.147706i
\(396\) 6.58675 16.7828i 0.330997 0.843366i
\(397\) −23.5157 7.25363i −1.18022 0.364049i −0.358274 0.933616i \(-0.616635\pi\)
−0.821945 + 0.569567i \(0.807111\pi\)
\(398\) 6.91105 30.2793i 0.346419 1.51776i
\(399\) 0.441493 + 5.72371i 0.0221023 + 0.286544i
\(400\) 10.0254 + 43.9241i 0.501269 + 2.19620i
\(401\) 0.821356 10.9602i 0.0410165 0.547328i −0.938410 0.345525i \(-0.887701\pi\)
0.979426 0.201803i \(-0.0646800\pi\)
\(402\) 0.950171 0.293089i 0.0473902 0.0146179i
\(403\) 0.172533 + 2.30229i 0.00859446 + 0.114685i
\(404\) −3.87170 9.86494i −0.192624 0.490799i
\(405\) −1.72403 0.830247i −0.0856675 0.0412553i
\(406\) −1.26432 + 5.59561i −0.0627473 + 0.277705i
\(407\) −10.5874 + 5.09860i −0.524796 + 0.252728i
\(408\) 5.40377 + 5.01397i 0.267527 + 0.248228i
\(409\) 5.97165 + 0.900081i 0.295279 + 0.0445062i 0.295011 0.955494i \(-0.404677\pi\)
0.000267886 1.00000i \(0.499915\pi\)
\(410\) 4.62236 + 8.00617i 0.228282 + 0.395397i
\(411\) −1.50651 + 2.60935i −0.0743105 + 0.128710i
\(412\) 36.9406 46.3221i 1.81993 2.28212i
\(413\) 35.1942 5.38323i 1.73179 0.264891i
\(414\) −30.5822 38.3488i −1.50303 1.88474i
\(415\) −0.173847 + 0.0262032i −0.00853379 + 0.00128626i
\(416\) −7.81060 5.32518i −0.382946 0.261088i
\(417\) −3.46948 2.36545i −0.169901 0.115836i
\(418\) 14.9738 2.25693i 0.732391 0.110390i
\(419\) 16.9663 + 21.2751i 0.828859 + 1.03936i 0.998549 + 0.0538583i \(0.0171519\pi\)
−0.169690 + 0.985497i \(0.554277\pi\)
\(420\) 0.135229 1.85892i 0.00659848 0.0907058i
\(421\) 15.8348 19.8563i 0.771743 0.967735i −0.228240 0.973605i \(-0.573297\pi\)
0.999983 + 0.00587008i \(0.00186852\pi\)
\(422\) 6.60199 11.4350i 0.321380 0.556646i
\(423\) −11.4355 19.8069i −0.556013 0.963043i
\(424\) 15.5304 + 2.34082i 0.754221 + 0.113680i
\(425\) 7.16802 + 6.65095i 0.347700 + 0.322618i
\(426\) 10.8580 5.22894i 0.526072 0.253343i
\(427\) 0.830427 + 3.60210i 0.0401872 + 0.174318i
\(428\) 70.7327 + 34.0631i 3.41899 + 1.64650i
\(429\) −0.260976 0.664955i −0.0126000 0.0321043i
\(430\) −0.475550 6.34578i −0.0229331 0.306021i
\(431\) −9.46829 + 2.92058i −0.456071 + 0.140679i −0.514275 0.857625i \(-0.671939\pi\)
0.0582036 + 0.998305i \(0.481463\pi\)
\(432\) 2.02530 27.0257i 0.0974421 1.30027i
\(433\) 7.83506 + 34.3276i 0.376529 + 1.64968i 0.707998 + 0.706215i \(0.249599\pi\)
−0.331469 + 0.943466i \(0.607544\pi\)
\(434\) 13.1447 + 8.91993i 0.630964 + 0.428170i
\(435\) −0.0274391 + 0.120218i −0.00131560 + 0.00576403i
\(436\) −31.5609 9.73525i −1.51149 0.466234i
\(437\) 10.6003 27.0092i 0.507082 1.29202i
\(438\) −7.46228 + 6.92398i −0.356562 + 0.330841i
\(439\) 2.92715 1.99570i 0.139705 0.0952496i −0.491451 0.870905i \(-0.663533\pi\)
0.631156 + 0.775656i \(0.282581\pi\)
\(440\) −2.85206 −0.135967
\(441\) −6.91363 + 17.8442i −0.329220 + 0.849723i
\(442\) −5.17090 −0.245954
\(443\) −0.524829 + 0.357822i −0.0249354 + 0.0170007i −0.575724 0.817644i \(-0.695280\pi\)
0.550788 + 0.834645i \(0.314327\pi\)
\(444\) −15.2894 + 14.1864i −0.725601 + 0.673259i
\(445\) 0.871563 2.22071i 0.0413161 0.105272i
\(446\) −2.59630 0.800853i −0.122939 0.0379215i
\(447\) 1.24248 5.44366i 0.0587673 0.257476i
\(448\) −15.8196 + 4.91752i −0.747404 + 0.232331i
\(449\) −3.00975 13.1866i −0.142039 0.622313i −0.994960 0.100273i \(-0.968028\pi\)
0.852921 0.522040i \(-0.174829\pi\)
\(450\) 2.61284 34.8659i 0.123170 1.64359i
\(451\) 16.4067 5.06081i 0.772564 0.238304i
\(452\) −1.77664 23.7076i −0.0835659 1.11511i
\(453\) 2.78324 + 7.09158i 0.130768 + 0.333191i
\(454\) −5.87823 2.83081i −0.275879 0.132856i
\(455\) 0.474170 + 0.591937i 0.0222294 + 0.0277504i
\(456\) 14.0477 6.76502i 0.657844 0.316801i
\(457\) 24.8214 + 23.0309i 1.16110 + 1.07734i 0.995843 + 0.0910887i \(0.0290347\pi\)
0.165253 + 0.986251i \(0.447156\pi\)
\(458\) −6.01620 0.906797i −0.281119 0.0423718i
\(459\) −2.94101 5.09398i −0.137275 0.237767i
\(460\) −4.71010 + 8.15813i −0.219610 + 0.380375i
\(461\) −2.30078 + 2.88509i −0.107158 + 0.134372i −0.832518 0.553997i \(-0.813102\pi\)
0.725360 + 0.688369i \(0.241673\pi\)
\(462\) −4.69981 1.43848i −0.218655 0.0669240i
\(463\) −18.0400 22.6214i −0.838388 1.05131i −0.997942 0.0641165i \(-0.979577\pi\)
0.159554 0.987189i \(-0.448994\pi\)
\(464\) 7.55293 1.13842i 0.350636 0.0528498i
\(465\) 0.282126 + 0.192350i 0.0130833 + 0.00892004i
\(466\) −6.51798 4.44388i −0.301939 0.205859i
\(467\) 0.540911 0.0815292i 0.0250304 0.00377272i −0.136515 0.990638i \(-0.543590\pi\)
0.161546 + 0.986865i \(0.448352\pi\)
\(468\) 8.11882 + 10.1807i 0.375292 + 0.470602i
\(469\) 0.720320 + 1.82364i 0.0332613 + 0.0842077i
\(470\) −3.88858 + 4.87612i −0.179367 + 0.224919i
\(471\) −1.67653 + 2.90384i −0.0772506 + 0.133802i
\(472\) −48.3496 83.7440i −2.22547 3.85463i
\(473\) −11.6866 1.76147i −0.537350 0.0809924i
\(474\) −14.8084 13.7402i −0.680173 0.631108i
\(475\) 18.6341 8.97369i 0.854990 0.411741i
\(476\) −15.5802 + 19.6246i −0.714117 + 0.899494i
\(477\) −5.38343 2.59252i −0.246490 0.118704i
\(478\) 2.76493 + 7.04492i 0.126465 + 0.322227i
\(479\) −2.76106 36.8437i −0.126156 1.68343i −0.597801 0.801645i \(-0.703959\pi\)
0.471645 0.881789i \(-0.343660\pi\)
\(480\) −1.33600 + 0.412100i −0.0609796 + 0.0188097i
\(481\) 0.634255 8.46354i 0.0289195 0.385904i
\(482\) −16.2439 71.1691i −0.739889 3.24166i
\(483\) −6.88954 + 6.42058i −0.313485 + 0.292147i
\(484\) 9.62709 42.1790i 0.437595 1.91723i
\(485\) −2.01767 0.622369i −0.0916177 0.0282603i
\(486\) −11.7041 + 29.8216i −0.530909 + 1.35273i
\(487\) −20.4846 + 19.0069i −0.928244 + 0.861285i −0.990603 0.136769i \(-0.956328\pi\)
0.0623585 + 0.998054i \(0.480138\pi\)
\(488\) 8.29537 5.65569i 0.375514 0.256021i
\(489\) −4.67142 −0.211249
\(490\) 5.21842 0.0227708i 0.235744 0.00102868i
\(491\) 39.5850 1.78645 0.893223 0.449615i \(-0.148439\pi\)
0.893223 + 0.449615i \(0.148439\pi\)
\(492\) 25.1791 17.1668i 1.13516 0.773941i
\(493\) 1.21524 1.12758i 0.0547317 0.0507836i
\(494\) −3.99575 + 10.1810i −0.179777 + 0.458065i
\(495\) 1.03684 + 0.319824i 0.0466026 + 0.0143750i
\(496\) 4.70656 20.6208i 0.211331 0.925901i
\(497\) 11.9270 + 20.5544i 0.534998 + 0.921992i
\(498\) 0.183110 + 0.802255i 0.00820533 + 0.0359499i
\(499\) 1.49046 19.8888i 0.0667222 0.890346i −0.858960 0.512043i \(-0.828889\pi\)
0.925682 0.378303i \(-0.123492\pi\)
\(500\) −12.9403 + 3.99156i −0.578709 + 0.178508i
\(501\) 0.205328 + 2.73991i 0.00917336 + 0.122410i
\(502\) 27.3686 + 69.7340i 1.22152 + 3.11238i
\(503\) 16.2718 + 7.83610i 0.725525 + 0.349395i 0.759923 0.650014i \(-0.225237\pi\)
−0.0343972 + 0.999408i \(0.510951\pi\)
\(504\) 51.9752 0.113398i 2.31516 0.00505114i
\(505\) 0.574632 0.276728i 0.0255708 0.0123142i
\(506\) 18.2102 + 16.8966i 0.809541 + 0.751145i
\(507\) 0.510169 + 0.0768956i 0.0226574 + 0.00341505i
\(508\) 23.8173 + 41.2527i 1.05672 + 1.83029i
\(509\) 10.6926 18.5202i 0.473942 0.820892i −0.525613 0.850724i \(-0.676164\pi\)
0.999555 + 0.0298319i \(0.00949720\pi\)
\(510\) −0.476823 + 0.597918i −0.0211141 + 0.0264762i
\(511\) −14.7445 13.6212i −0.652260 0.602566i
\(512\) −28.0945 35.2294i −1.24161 1.55693i
\(513\) −12.3022 + 1.85426i −0.543155 + 0.0818674i
\(514\) −44.4216 30.2862i −1.95935 1.33587i
\(515\) 2.94616 + 2.00866i 0.129823 + 0.0885121i
\(516\) −20.7426 + 3.12645i −0.913144 + 0.137634i
\(517\) 7.22196 + 9.05605i 0.317621 + 0.398285i
\(518\) −42.8947 39.6267i −1.88469 1.74110i
\(519\) 3.64012 4.56456i 0.159783 0.200362i
\(520\) 1.02996 1.78394i 0.0451667 0.0782309i
\(521\) −1.81855 3.14983i −0.0796722 0.137996i 0.823436 0.567409i \(-0.192054\pi\)
−0.903109 + 0.429412i \(0.858721\pi\)
\(522\) −5.86140 0.883465i −0.256547 0.0386682i
\(523\) 28.4024 + 26.3535i 1.24195 + 1.15236i 0.982432 + 0.186621i \(0.0597538\pi\)
0.259517 + 0.965739i \(0.416437\pi\)
\(524\) −55.3907 + 26.6747i −2.41975 + 1.16529i
\(525\) −6.71294 + 0.0146461i −0.292977 + 0.000639207i
\(526\) −12.8456 6.18611i −0.560094 0.269727i
\(527\) −1.67712 4.27324i −0.0730567 0.186145i
\(528\) 0.489051 + 6.52593i 0.0212832 + 0.284005i
\(529\) 23.5054 7.25046i 1.02197 0.315237i
\(530\) −0.121765 + 1.62483i −0.00528911 + 0.0705783i
\(531\) 8.18623 + 35.8662i 0.355252 + 1.55646i
\(532\) 26.5996 + 45.8406i 1.15324 + 1.98744i
\(533\) −2.75943 + 12.0899i −0.119524 + 0.523670i
\(534\) −10.6699 3.29123i −0.461732 0.142425i
\(535\) −1.72618 + 4.39822i −0.0746291 + 0.190152i
\(536\) 3.90378 3.62218i 0.168618 0.156454i
\(537\) −8.46885 + 5.77396i −0.365458 + 0.249165i
\(538\) 65.3935 2.81932
\(539\) 2.11539 9.45820i 0.0911164 0.407393i
\(540\) 4.03925 0.173821
\(541\) −7.79917 + 5.31739i −0.335313 + 0.228612i −0.719257 0.694744i \(-0.755518\pi\)
0.383945 + 0.923356i \(0.374565\pi\)
\(542\) −25.4604 + 23.6238i −1.09362 + 1.01473i
\(543\) −3.07198 + 7.82728i −0.131831 + 0.335901i
\(544\) 17.9611 + 5.54028i 0.770078 + 0.237538i
\(545\) 0.442316 1.93791i 0.0189467 0.0830111i
\(546\) 2.59698 2.42021i 0.111141 0.103576i
\(547\) 7.84137 + 34.3553i 0.335273 + 1.46893i 0.808767 + 0.588130i \(0.200135\pi\)
−0.473494 + 0.880797i \(0.657007\pi\)
\(548\) −2.07874 + 27.7388i −0.0887992 + 1.18494i
\(549\) −3.64993 + 1.12585i −0.155775 + 0.0480502i
\(550\) 1.32328 + 17.6580i 0.0564250 + 0.752939i
\(551\) −1.28103 3.26401i −0.0545737 0.139052i
\(552\) 23.0450 + 11.0979i 0.980859 + 0.472357i
\(553\) 24.7682 31.1978i 1.05325 1.32666i
\(554\) 18.0868 8.71014i 0.768434 0.370058i
\(555\) −0.920164 0.853787i −0.0390588 0.0362413i
\(556\) −38.3339 5.77790i −1.62572 0.245038i
\(557\) 17.6453 + 30.5625i 0.747654 + 1.29498i 0.948944 + 0.315444i \(0.102153\pi\)
−0.201290 + 0.979532i \(0.564513\pi\)
\(558\) −8.20709 + 14.2151i −0.347434 + 0.601773i
\(559\) 5.32213 6.67374i 0.225102 0.282269i
\(560\) −2.55259 6.46241i −0.107867 0.273087i
\(561\) 0.885568 + 1.11047i 0.0373887 + 0.0468840i
\(562\) 41.3566 6.23351i 1.74452 0.262945i
\(563\) 3.96701 + 2.70466i 0.167189 + 0.113988i 0.644024 0.765005i \(-0.277264\pi\)
−0.476835 + 0.878993i \(0.658216\pi\)
\(564\) 16.9867 + 11.5813i 0.715267 + 0.487661i
\(565\) 1.41482 0.213250i 0.0595219 0.00897148i
\(566\) 31.7133 + 39.7672i 1.33301 + 1.67154i
\(567\) −16.8876 5.16881i −0.709212 0.217069i
\(568\) 40.2423 50.4622i 1.68853 2.11735i
\(569\) −6.47087 + 11.2079i −0.271273 + 0.469858i −0.969188 0.246322i \(-0.920778\pi\)
0.697915 + 0.716180i \(0.254111\pi\)
\(570\) 0.808782 + 1.40085i 0.0338762 + 0.0586752i
\(571\) −29.0521 4.37889i −1.21579 0.183251i −0.490344 0.871529i \(-0.663129\pi\)
−0.725447 + 0.688278i \(0.758367\pi\)
\(572\) −4.83436 4.48563i −0.202135 0.187553i
\(573\) −1.49426 + 0.719600i −0.0624238 + 0.0300617i
\(574\) 53.3442 + 66.5930i 2.22655 + 2.77954i
\(575\) 30.5688 + 14.7212i 1.27481 + 0.613915i
\(576\) −6.25378 15.9344i −0.260574 0.663933i
\(577\) −3.20673 42.7908i −0.133498 1.78140i −0.515152 0.857099i \(-0.672264\pi\)
0.381654 0.924305i \(-0.375355\pi\)
\(578\) −32.4214 + 10.0007i −1.34855 + 0.415974i
\(579\) 0.128669 1.71697i 0.00534730 0.0713548i
\(580\) 0.253321 + 1.10987i 0.0105186 + 0.0460850i
\(581\) −1.54951 + 0.481664i −0.0642843 + 0.0199828i
\(582\) −2.19914 + 9.63507i −0.0911574 + 0.399386i
\(583\) 2.89170 + 0.891972i 0.119762 + 0.0369417i
\(584\) −19.9181 + 50.7505i −0.824217 + 2.10007i
\(585\) −0.574479 + 0.533039i −0.0237518 + 0.0220384i
\(586\) −50.3545 + 34.3311i −2.08012 + 1.41820i
\(587\) 2.14757 0.0886396 0.0443198 0.999017i \(-0.485888\pi\)
0.0443198 + 0.999017i \(0.485888\pi\)
\(588\) −1.36036 17.1483i −0.0561004 0.707185i
\(589\) −9.70958 −0.400076
\(590\) 8.28885 5.65124i 0.341247 0.232658i
\(591\) 5.62106 5.21559i 0.231220 0.214541i
\(592\) −28.4069 + 72.3796i −1.16752 + 2.97478i
\(593\) −7.12310 2.19719i −0.292511 0.0902277i 0.145027 0.989428i \(-0.453673\pi\)
−0.437538 + 0.899200i \(0.644149\pi\)
\(594\) 2.37023 10.3847i 0.0972517 0.426088i
\(595\) −1.24785 0.846785i −0.0511567 0.0347148i
\(596\) −11.4708 50.2566i −0.469860 2.05859i
\(597\) 0.460453 6.14432i 0.0188451 0.251470i
\(598\) −17.1449 + 5.28849i −0.701105 + 0.216262i
\(599\) 1.36526 + 18.2181i 0.0557830 + 0.744372i 0.953036 + 0.302856i \(0.0979402\pi\)
−0.897253 + 0.441516i \(0.854441\pi\)
\(600\) 6.66105 + 16.9721i 0.271936 + 0.692882i
\(601\) 38.3761 + 18.4810i 1.56540 + 0.753855i 0.997595 0.0693118i \(-0.0220803\pi\)
0.567800 + 0.823166i \(0.307795\pi\)
\(602\) −13.1941 57.2314i −0.537753 2.33258i
\(603\) −1.82537 + 0.879051i −0.0743347 + 0.0357977i
\(604\) 51.5572 + 47.8381i 2.09783 + 1.94650i
\(605\) 2.57468 + 0.388070i 0.104675 + 0.0157773i
\(606\) −1.49261 2.58527i −0.0606330 0.105019i
\(607\) −23.6731 + 41.0029i −0.960860 + 1.66426i −0.240510 + 0.970647i \(0.577315\pi\)
−0.720349 + 0.693611i \(0.756019\pi\)
\(608\) 24.7875 31.0826i 1.00527 1.26057i
\(609\) −0.0825733 + 1.13509i −0.00334604 + 0.0459962i
\(610\) 0.649420 + 0.814347i 0.0262942 + 0.0329719i
\(611\) −8.27253 + 1.24688i −0.334671 + 0.0504435i
\(612\) −21.3924 14.5851i −0.864738 0.589568i
\(613\) −28.7059 19.5714i −1.15942 0.790480i −0.178320 0.983973i \(-0.557066\pi\)
−0.981102 + 0.193492i \(0.938019\pi\)
\(614\) 24.7626 3.73236i 0.999338 0.150626i
\(615\) 1.14351 + 1.43392i 0.0461109 + 0.0578212i
\(616\) −26.0205 + 3.98004i −1.04840 + 0.160360i
\(617\) 12.2047 15.3043i 0.491344 0.616126i −0.472908 0.881112i \(-0.656796\pi\)
0.964252 + 0.264985i \(0.0853671\pi\)
\(618\) 8.34482 14.4537i 0.335678 0.581411i
\(619\) 10.9182 + 18.9108i 0.438838 + 0.760090i 0.997600 0.0692382i \(-0.0220568\pi\)
−0.558762 + 0.829328i \(0.688724\pi\)
\(620\) 3.11718 + 0.469840i 0.125189 + 0.0188692i
\(621\) −14.9612 13.8819i −0.600371 0.557063i
\(622\) −66.2699 + 31.9139i −2.65718 + 1.27963i
\(623\) 4.85263 21.4767i 0.194417 0.860444i
\(624\) −4.25852 2.05080i −0.170477 0.0820975i
\(625\) 8.68566 + 22.1307i 0.347427 + 0.885228i
\(626\) −3.18872 42.5505i −0.127447 1.70066i
\(627\) 2.87071 0.885498i 0.114645 0.0353634i
\(628\) −2.31334 + 30.8694i −0.0923124 + 1.23182i
\(629\) 3.75518 + 16.4525i 0.149729 + 0.656004i
\(630\) 0.414688 + 5.37620i 0.0165215 + 0.214193i
\(631\) −3.67424 + 16.0979i −0.146269 + 0.640846i 0.847633 + 0.530582i \(0.178027\pi\)
−0.993902 + 0.110264i \(0.964830\pi\)
\(632\) −103.383 31.8895i −4.11236 1.26850i
\(633\) 0.957019 2.43845i 0.0380381 0.0969195i
\(634\) 0.914842 0.848849i 0.0363330 0.0337121i
\(635\) −2.36867 + 1.61493i −0.0939976 + 0.0640865i
\(636\) 5.37114 0.212980
\(637\) 5.15209 + 4.73877i 0.204133 + 0.187757i
\(638\) 3.00207 0.118853
\(639\) −20.2884 + 13.8324i −0.802598 + 0.547202i
\(640\) 0.551158 0.511399i 0.0217864 0.0202148i
\(641\) −12.2009 + 31.0873i −0.481906 + 1.22788i 0.458766 + 0.888557i \(0.348292\pi\)
−0.940672 + 0.339318i \(0.889804\pi\)
\(642\) 21.1323 + 6.51844i 0.834024 + 0.257262i
\(643\) −1.25770 + 5.51036i −0.0495990 + 0.217307i −0.993654 0.112481i \(-0.964120\pi\)
0.944055 + 0.329788i \(0.106977\pi\)
\(644\) −31.5875 + 81.0028i −1.24472 + 3.19196i
\(645\) −0.280924 1.23081i −0.0110614 0.0484631i
\(646\) 1.62512 21.6858i 0.0639396 0.853215i
\(647\) −26.7860 + 8.26239i −1.05307 + 0.324828i −0.772505 0.635008i \(-0.780997\pi\)
−0.280561 + 0.959836i \(0.590521\pi\)
\(648\) 3.58458 + 47.8329i 0.140816 + 1.87905i
\(649\) −6.80694 17.3438i −0.267196 0.680804i
\(650\) −11.5228 5.54908i −0.451961 0.217653i
\(651\) 2.84237 + 1.36118i 0.111401 + 0.0533490i
\(652\) −38.8563 + 18.7122i −1.52173 + 0.732826i
\(653\) −10.9376 10.1486i −0.428020 0.397145i 0.436531 0.899689i \(-0.356207\pi\)
−0.864551 + 0.502544i \(0.832397\pi\)
\(654\) −9.19983 1.38665i −0.359742 0.0542224i
\(655\) −1.85001 3.20430i −0.0722857 0.125203i
\(656\) 56.8037 98.3868i 2.21781 3.84136i
\(657\) 12.9321 16.2163i 0.504529 0.632659i
\(658\) −28.6724 + 49.9133i −1.11777 + 1.94582i
\(659\) 22.3619 + 28.0409i 0.871096 + 1.09232i 0.994985 + 0.100023i \(0.0318917\pi\)
−0.123890 + 0.992296i \(0.539537\pi\)
\(660\) −0.964469 + 0.145370i −0.0375419 + 0.00565853i
\(661\) 22.8950 + 15.6096i 0.890513 + 0.607142i 0.919782 0.392430i \(-0.128365\pi\)
−0.0292685 + 0.999572i \(0.509318\pi\)
\(662\) −6.90200 4.70570i −0.268254 0.182892i
\(663\) −1.01439 + 0.152895i −0.0393957 + 0.00593794i
\(664\) 2.74778 + 3.44561i 0.106635 + 0.133716i
\(665\) −2.63149 + 1.80254i −0.102045 + 0.0698997i
\(666\) 37.6219 47.1764i 1.45782 1.82805i
\(667\) 2.87608 4.98152i 0.111362 0.192885i
\(668\) 12.6831 + 21.9677i 0.490723 + 0.849956i
\(669\) −0.533005 0.0803375i −0.0206071 0.00310603i
\(670\) 0.404996 + 0.375782i 0.0156464 + 0.0145177i
\(671\) 1.74289 0.839333i 0.0672836 0.0324021i
\(672\) −11.6137 + 5.62413i −0.448010 + 0.216956i
\(673\) 13.6589 + 6.57776i 0.526511 + 0.253554i 0.678204 0.734873i \(-0.262758\pi\)
−0.151694 + 0.988428i \(0.548473\pi\)
\(674\) −26.1595 66.6532i −1.00763 2.56739i
\(675\) −1.08719 14.5075i −0.0418458 0.558394i
\(676\) 4.55154 1.40396i 0.175059 0.0539986i
\(677\) −0.407566 + 5.43860i −0.0156641 + 0.209022i 0.983880 + 0.178830i \(0.0572311\pi\)
−0.999544 + 0.0301926i \(0.990388\pi\)
\(678\) −1.49020 6.52901i −0.0572310 0.250745i
\(679\) −19.2765 2.86247i −0.739765 0.109852i
\(680\) −0.911406 + 3.99313i −0.0349508 + 0.153129i
\(681\) −1.23685 0.381519i −0.0473963 0.0146198i
\(682\) 3.03709 7.73839i 0.116296 0.296318i
\(683\) −22.3425 + 20.7309i −0.854914 + 0.793244i −0.980020 0.198899i \(-0.936263\pi\)
0.125106 + 0.992143i \(0.460073\pi\)
\(684\) −45.2474 + 30.8492i −1.73008 + 1.17955i
\(685\) −1.67409 −0.0639639
\(686\) 47.5779 7.49003i 1.81653 0.285970i
\(687\) −1.20703 −0.0460510
\(688\) −64.6128 + 44.0523i −2.46334 + 1.67948i
\(689\) −1.60219 + 1.48662i −0.0610387 + 0.0566356i
\(690\) −0.969462 + 2.47015i −0.0369068 + 0.0940370i
\(691\) 21.8029 + 6.72529i 0.829420 + 0.255842i 0.680260 0.732971i \(-0.261867\pi\)
0.149160 + 0.988813i \(0.452343\pi\)
\(692\) 11.9939 52.5486i 0.455938 1.99760i
\(693\) 9.90584 + 1.47097i 0.376292 + 0.0558775i
\(694\) 12.5305 + 54.8995i 0.475650 + 2.08396i
\(695\) 0.174354 2.32659i 0.00661363 0.0882528i
\(696\) 2.95373 0.911105i 0.111961 0.0345354i
\(697\) −1.84262 24.5881i −0.0697942 0.931339i
\(698\) −15.6905 39.9788i −0.593895 1.51322i
\(699\) −1.41005 0.679044i −0.0533330 0.0256838i
\(700\) −55.7787 + 27.0117i −2.10824 + 1.02095i
\(701\) −9.92005 + 4.77724i −0.374675 + 0.180434i −0.611738 0.791060i \(-0.709529\pi\)
0.237063 + 0.971494i \(0.423815\pi\)
\(702\) 5.63955 + 5.23274i 0.212851 + 0.197497i
\(703\) 35.2951 + 5.31989i 1.33118 + 0.200643i
\(704\) 4.33466 + 7.50785i 0.163369 + 0.282963i
\(705\) −0.618655 + 1.07154i −0.0232999 + 0.0403566i
\(706\) −45.1699 + 56.6413i −1.69999 + 2.13172i
\(707\) 4.85642 3.32660i 0.182644 0.125109i
\(708\) −20.6186 25.8549i −0.774895 0.971687i
\(709\) 43.1823 6.50868i 1.62175 0.244439i 0.725573 0.688145i \(-0.241575\pi\)
0.896172 + 0.443706i \(0.146337\pi\)
\(710\) 5.53254 + 3.77202i 0.207633 + 0.141561i
\(711\) 34.0081 + 23.1863i 1.27540 + 0.869554i
\(712\) −59.1332 + 8.91289i −2.21611 + 0.334025i
\(713\) −9.93117 12.4533i −0.371925 0.466380i
\(714\) −3.51586 + 6.12044i −0.131578 + 0.229052i
\(715\) 0.247463 0.310308i 0.00925457 0.0116049i
\(716\) −47.3142 + 81.9505i −1.76821 + 3.06264i
\(717\) 0.750711 + 1.30027i 0.0280358 + 0.0485595i
\(718\) −2.80009 0.422046i −0.104498 0.0157506i
\(719\) 11.7619 + 10.9134i 0.438644 + 0.407002i 0.868339 0.495972i \(-0.165188\pi\)
−0.429694 + 0.902974i \(0.641379\pi\)
\(720\) 6.46854 3.11509i 0.241068 0.116092i
\(721\) 29.6821 + 14.2144i 1.10542 + 0.529374i
\(722\) 3.07688 + 1.48175i 0.114510 + 0.0551449i
\(723\) −5.29096 13.4812i −0.196773 0.501370i
\(724\) 5.80120 + 77.4117i 0.215600 + 2.87698i
\(725\) 3.91808 1.20857i 0.145514 0.0448850i
\(726\) 0.910735 12.1529i 0.0338005 0.451037i
\(727\) −8.05489 35.2908i −0.298739 1.30886i −0.872007 0.489494i \(-0.837181\pi\)
0.573267 0.819368i \(-0.305676\pi\)
\(728\) 6.90724 17.7129i 0.255999 0.656484i
\(729\) 3.04185 13.3272i 0.112661 0.493601i
\(730\) −5.40480 1.66716i −0.200040 0.0617043i
\(731\) −6.20077 + 15.7993i −0.229344 + 0.584358i
\(732\) 2.51693 2.33537i 0.0930286 0.0863179i
\(733\) 6.39764 4.36183i 0.236302 0.161108i −0.439380 0.898301i \(-0.644802\pi\)
0.675682 + 0.737193i \(0.263849\pi\)
\(734\) −51.7863 −1.91147
\(735\) 1.02304 0.158767i 0.0377354 0.00585621i
\(736\) 65.2191 2.40401
\(737\) 0.847787 0.578011i 0.0312286 0.0212913i
\(738\) −64.6290 + 59.9670i −2.37903 + 2.20741i
\(739\) 8.33358 21.2336i 0.306556 0.781091i −0.691707 0.722178i \(-0.743141\pi\)
0.998263 0.0589133i \(-0.0187635\pi\)
\(740\) −11.0738 3.41582i −0.407081 0.125568i
\(741\) −0.482823 + 2.11538i −0.0177369 + 0.0777106i
\(742\) 1.15654 + 14.9939i 0.0424580 + 0.550445i
\(743\) −11.6649 51.1072i −0.427943 1.87494i −0.481618 0.876381i \(-0.659951\pi\)
0.0536751 0.998558i \(-0.482906\pi\)
\(744\) 0.639650 8.53553i 0.0234507 0.312928i
\(745\) 2.96457 0.914447i 0.108613 0.0335028i
\(746\) −1.56273 20.8532i −0.0572156 0.763489i
\(747\) −0.612550 1.56075i −0.0224120 0.0571049i
\(748\) 11.8142 + 5.68943i 0.431971 + 0.208026i
\(749\) −9.61089 + 42.5356i −0.351174 + 1.55422i
\(750\) −3.43687 + 1.65511i −0.125497 + 0.0604361i
\(751\) 29.4159 + 27.2940i 1.07340 + 0.995972i 0.999999 0.00133063i \(-0.000423553\pi\)
0.0734031 + 0.997302i \(0.476614\pi\)
\(752\) 75.7871 + 11.4231i 2.76367 + 0.416557i
\(753\) 7.43090 + 12.8707i 0.270797 + 0.469034i
\(754\) −1.08413 + 1.87777i −0.0394816 + 0.0683842i
\(755\) −2.63912 + 3.30936i −0.0960476 + 0.120440i
\(756\) 36.8517 5.63675i 1.34028 0.205007i
\(757\) 14.1188 + 17.7045i 0.513158 + 0.643480i 0.969141 0.246509i \(-0.0792835\pi\)
−0.455983 + 0.889989i \(0.650712\pi\)
\(758\) 59.9138 9.03056i 2.17617 0.328005i
\(759\) 4.07195 + 2.77621i 0.147802 + 0.100770i
\(760\) 7.15781 + 4.88011i 0.259641 + 0.177020i
\(761\) −9.06507 + 1.36634i −0.328608 + 0.0495297i −0.311275 0.950320i \(-0.600756\pi\)
−0.0173338 + 0.999850i \(0.505518\pi\)
\(762\) 8.36611 + 10.4908i 0.303072 + 0.380040i
\(763\) 1.33108 18.2976i 0.0481883 0.662418i
\(764\) −9.54661 + 11.9711i −0.345384 + 0.433098i
\(765\) 0.779114 1.34946i 0.0281689 0.0487900i
\(766\) 7.85166 + 13.5995i 0.283692 + 0.491369i
\(767\) 13.3066 + 2.00564i 0.480472 + 0.0724195i
\(768\) −7.31593 6.78820i −0.263991 0.244948i
\(769\) 6.23927 3.00467i 0.224994 0.108351i −0.317991 0.948094i \(-0.603008\pi\)
0.542985 + 0.839742i \(0.317294\pi\)
\(770\) −0.613487 2.66109i −0.0221085 0.0958989i
\(771\) −9.60984 4.62785i −0.346090 0.166668i
\(772\) −5.80737 14.7969i −0.209012 0.532553i
\(773\) −2.04269