Properties

Label 64.2.i.a.13.7
Level $64$
Weight $2$
Character 64.13
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 13.7
Character \(\chi\) \(=\) 64.13
Dual form 64.2.i.a.5.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36881 + 0.355465i) q^{2} +(-2.00147 + 1.33734i) q^{3} +(1.74729 + 0.973128i) q^{4} +(0.756852 - 0.150547i) q^{5} +(-3.21501 + 1.11911i) q^{6} +(-1.69148 - 4.08359i) q^{7} +(2.04580 + 1.95313i) q^{8} +(1.06935 - 2.58163i) q^{9} +O(q^{10})\) \(q+(1.36881 + 0.355465i) q^{2} +(-2.00147 + 1.33734i) q^{3} +(1.74729 + 0.973128i) q^{4} +(0.756852 - 0.150547i) q^{5} +(-3.21501 + 1.11911i) q^{6} +(-1.69148 - 4.08359i) q^{7} +(2.04580 + 1.95313i) q^{8} +(1.06935 - 2.58163i) q^{9} +(1.08950 + 0.0629634i) q^{10} +(0.290161 - 0.434257i) q^{11} +(-4.79854 + 0.389032i) q^{12} +(-1.79553 - 0.357153i) q^{13} +(-0.863742 - 6.19092i) q^{14} +(-1.31348 + 1.31348i) q^{15} +(2.10604 + 3.40067i) q^{16} +(-3.04259 - 3.04259i) q^{17} +(2.38142 - 3.15366i) q^{18} +(-1.26776 + 6.37347i) q^{19} +(1.46894 + 0.473464i) q^{20} +(8.84657 + 5.91109i) q^{21} +(0.551539 - 0.491274i) q^{22} +(7.32197 + 3.03286i) q^{23} +(-6.70659 - 1.17320i) q^{24} +(-4.06924 + 1.68553i) q^{25} +(-2.33079 - 1.12712i) q^{26} +(-0.0965796 - 0.485538i) q^{27} +(1.01835 - 8.78123i) q^{28} +(-0.690042 - 1.03272i) q^{29} +(-2.26481 + 1.33101i) q^{30} -1.55847i q^{31} +(1.67396 + 5.40351i) q^{32} +1.25719i q^{33} +(-3.08320 - 5.24627i) q^{34} +(-1.89497 - 2.83602i) q^{35} +(4.38072 - 3.47025i) q^{36} +(0.371584 + 1.86808i) q^{37} +(-4.00087 + 8.27344i) q^{38} +(4.07133 - 1.68640i) q^{39} +(1.84240 + 1.17024i) q^{40} +(6.15380 + 2.54899i) q^{41} +(10.0081 + 11.2358i) q^{42} +(-7.03859 - 4.70304i) q^{43} +(0.929583 - 0.476409i) q^{44} +(0.420680 - 2.11490i) q^{45} +(8.94433 + 6.75412i) q^{46} +(1.12515 + 1.12515i) q^{47} +(-8.76302 - 3.98985i) q^{48} +(-8.86483 + 8.86483i) q^{49} +(-6.16917 + 0.860707i) q^{50} +(10.1586 + 2.02068i) q^{51} +(-2.78976 - 2.37133i) q^{52} +(3.92962 - 5.88109i) q^{53} +(0.0403925 - 0.698941i) q^{54} +(0.154233 - 0.372351i) q^{55} +(4.51535 - 11.6579i) q^{56} +(-5.98610 - 14.4517i) q^{57} +(-0.577441 - 1.65888i) q^{58} +(0.738882 - 0.146973i) q^{59} +(-3.57322 + 1.01685i) q^{60} +(-3.34952 + 2.23808i) q^{61} +(0.553981 - 2.13325i) q^{62} -12.3511 q^{63} +(0.370575 + 7.99141i) q^{64} -1.41272 q^{65} +(-0.446888 + 1.72086i) q^{66} +(3.05271 - 2.03976i) q^{67} +(-2.35546 - 8.27713i) q^{68} +(-18.7106 + 3.72178i) q^{69} +(-1.58575 - 4.55557i) q^{70} +(-0.317495 - 0.766500i) q^{71} +(7.22993 - 3.19293i) q^{72} +(0.292843 - 0.706986i) q^{73} +(-0.155407 + 2.68913i) q^{74} +(5.89032 - 8.81548i) q^{75} +(-8.41735 + 9.90261i) q^{76} +(-2.26413 - 0.450363i) q^{77} +(6.17234 - 0.861150i) q^{78} +(6.17863 - 6.17863i) q^{79} +(2.10592 + 2.25675i) q^{80} +(6.77032 + 6.77032i) q^{81} +(7.51732 + 5.67654i) q^{82} +(-0.663054 + 3.33340i) q^{83} +(9.70527 + 18.9372i) q^{84} +(-2.76085 - 1.84474i) q^{85} +(-7.96274 - 8.93954i) q^{86} +(2.76219 + 1.14414i) q^{87} +(1.44177 - 0.321679i) q^{88} +(12.3740 - 5.12547i) q^{89} +(1.32761 - 2.74537i) q^{90} +(1.57863 + 7.93632i) q^{91} +(9.84225 + 12.4245i) q^{92} +(2.08420 + 3.11923i) q^{93} +(1.14017 + 1.94007i) q^{94} +5.01463i q^{95} +(-10.5767 - 8.57629i) q^{96} +3.44120i q^{97} +(-15.2854 + 8.98315i) q^{98} +(-0.810809 - 1.21346i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{15}{16}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36881 + 0.355465i 0.967896 + 0.251351i
\(3\) −2.00147 + 1.33734i −1.15555 + 0.772112i −0.977297 0.211873i \(-0.932044\pi\)
−0.178250 + 0.983985i \(0.557044\pi\)
\(4\) 1.74729 + 0.973128i 0.873645 + 0.486564i
\(5\) 0.756852 0.150547i 0.338474 0.0673268i −0.0229268 0.999737i \(-0.507298\pi\)
0.361401 + 0.932410i \(0.382298\pi\)
\(6\) −3.21501 + 1.11911i −1.31252 + 0.456876i
\(7\) −1.69148 4.08359i −0.639318 1.54345i −0.827590 0.561333i \(-0.810289\pi\)
0.188272 0.982117i \(-0.439711\pi\)
\(8\) 2.04580 + 1.95313i 0.723299 + 0.690535i
\(9\) 1.06935 2.58163i 0.356449 0.860545i
\(10\) 1.08950 + 0.0629634i 0.344531 + 0.0199108i
\(11\) 0.290161 0.434257i 0.0874869 0.130933i −0.785145 0.619312i \(-0.787412\pi\)
0.872632 + 0.488379i \(0.162412\pi\)
\(12\) −4.79854 + 0.389032i −1.38522 + 0.112304i
\(13\) −1.79553 0.357153i −0.497991 0.0990565i −0.0602967 0.998180i \(-0.519205\pi\)
−0.437694 + 0.899124i \(0.644205\pi\)
\(14\) −0.863742 6.19092i −0.230845 1.65459i
\(15\) −1.31348 + 1.31348i −0.339140 + 0.339140i
\(16\) 2.10604 + 3.40067i 0.526511 + 0.850169i
\(17\) −3.04259 3.04259i −0.737937 0.737937i 0.234241 0.972179i \(-0.424739\pi\)
−0.972179 + 0.234241i \(0.924739\pi\)
\(18\) 2.38142 3.15366i 0.561305 0.743324i
\(19\) −1.26776 + 6.37347i −0.290845 + 1.46217i 0.508375 + 0.861136i \(0.330246\pi\)
−0.799220 + 0.601039i \(0.794754\pi\)
\(20\) 1.46894 + 0.473464i 0.328465 + 0.105870i
\(21\) 8.84657 + 5.91109i 1.93048 + 1.28990i
\(22\) 0.551539 0.491274i 0.117589 0.104740i
\(23\) 7.32197 + 3.03286i 1.52674 + 0.632395i 0.978928 0.204208i \(-0.0654618\pi\)
0.547810 + 0.836603i \(0.315462\pi\)
\(24\) −6.70659 1.17320i −1.36898 0.239479i
\(25\) −4.06924 + 1.68553i −0.813847 + 0.337107i
\(26\) −2.33079 1.12712i −0.457105 0.221047i
\(27\) −0.0965796 0.485538i −0.0185867 0.0934419i
\(28\) 1.01835 8.78123i 0.192451 1.65950i
\(29\) −0.690042 1.03272i −0.128138 0.191771i 0.761854 0.647749i \(-0.224290\pi\)
−0.889991 + 0.455978i \(0.849290\pi\)
\(30\) −2.26481 + 1.33101i −0.413495 + 0.243009i
\(31\) 1.55847i 0.279910i −0.990158 0.139955i \(-0.955304\pi\)
0.990158 0.139955i \(-0.0446957\pi\)
\(32\) 1.67396 + 5.40351i 0.295916 + 0.955214i
\(33\) 1.25719i 0.218849i
\(34\) −3.08320 5.24627i −0.528765 0.899728i
\(35\) −1.89497 2.83602i −0.320308 0.479375i
\(36\) 4.38072 3.47025i 0.730120 0.578375i
\(37\) 0.371584 + 1.86808i 0.0610880 + 0.307110i 0.999234 0.0391295i \(-0.0124585\pi\)
−0.938146 + 0.346239i \(0.887458\pi\)
\(38\) −4.00087 + 8.27344i −0.649027 + 1.34213i
\(39\) 4.07133 1.68640i 0.651935 0.270040i
\(40\) 1.84240 + 1.17024i 0.291310 + 0.185031i
\(41\) 6.15380 + 2.54899i 0.961062 + 0.398085i 0.807378 0.590035i \(-0.200886\pi\)
0.153685 + 0.988120i \(0.450886\pi\)
\(42\) 10.0081 + 11.2358i 1.54428 + 1.73372i
\(43\) −7.03859 4.70304i −1.07338 0.717206i −0.112350 0.993669i \(-0.535838\pi\)
−0.961025 + 0.276462i \(0.910838\pi\)
\(44\) 0.929583 0.476409i 0.140140 0.0718213i
\(45\) 0.420680 2.11490i 0.0627113 0.315271i
\(46\) 8.94433 + 6.75412i 1.31877 + 0.995840i
\(47\) 1.12515 + 1.12515i 0.164120 + 0.164120i 0.784389 0.620269i \(-0.212977\pi\)
−0.620269 + 0.784389i \(0.712977\pi\)
\(48\) −8.76302 3.98985i −1.26483 0.575885i
\(49\) −8.86483 + 8.86483i −1.26640 + 1.26640i
\(50\) −6.16917 + 0.860707i −0.872452 + 0.121722i
\(51\) 10.1586 + 2.02068i 1.42249 + 0.282951i
\(52\) −2.78976 2.37133i −0.386870 0.328845i
\(53\) 3.92962 5.88109i 0.539775 0.807830i −0.456882 0.889527i \(-0.651034\pi\)
0.996657 + 0.0816971i \(0.0260340\pi\)
\(54\) 0.0403925 0.698941i 0.00549672 0.0951138i
\(55\) 0.154233 0.372351i 0.0207968 0.0502078i
\(56\) 4.51535 11.6579i 0.603389 1.55785i
\(57\) −5.98610 14.4517i −0.792878 1.91418i
\(58\) −0.577441 1.65888i −0.0758218 0.217822i
\(59\) 0.738882 0.146973i 0.0961942 0.0191342i −0.146758 0.989172i \(-0.546884\pi\)
0.242953 + 0.970038i \(0.421884\pi\)
\(60\) −3.57322 + 1.01685i −0.461301 + 0.131274i
\(61\) −3.34952 + 2.23808i −0.428862 + 0.286556i −0.751208 0.660065i \(-0.770529\pi\)
0.322346 + 0.946622i \(0.395529\pi\)
\(62\) 0.553981 2.13325i 0.0703557 0.270923i
\(63\) −12.3511 −1.55609
\(64\) 0.370575 + 7.99141i 0.0463219 + 0.998927i
\(65\) −1.41272 −0.175226
\(66\) −0.446888 + 1.72086i −0.0550081 + 0.211823i
\(67\) 3.05271 2.03976i 0.372948 0.249196i −0.354944 0.934888i \(-0.615500\pi\)
0.727892 + 0.685692i \(0.240500\pi\)
\(68\) −2.35546 8.27713i −0.285641 1.00375i
\(69\) −18.7106 + 3.72178i −2.25250 + 0.448050i
\(70\) −1.58575 4.55557i −0.189533 0.544495i
\(71\) −0.317495 0.766500i −0.0376797 0.0909668i 0.903919 0.427703i \(-0.140677\pi\)
−0.941599 + 0.336736i \(0.890677\pi\)
\(72\) 7.22993 3.19293i 0.852056 0.376290i
\(73\) 0.292843 0.706986i 0.0342747 0.0827464i −0.905815 0.423673i \(-0.860741\pi\)
0.940090 + 0.340926i \(0.110741\pi\)
\(74\) −0.155407 + 2.68913i −0.0180658 + 0.312605i
\(75\) 5.89032 8.81548i 0.680155 1.01792i
\(76\) −8.41735 + 9.90261i −0.965537 + 1.13591i
\(77\) −2.26413 0.450363i −0.258021 0.0513236i
\(78\) 6.17234 0.861150i 0.698880 0.0975060i
\(79\) 6.17863 6.17863i 0.695150 0.695150i −0.268210 0.963360i \(-0.586432\pi\)
0.963360 + 0.268210i \(0.0864321\pi\)
\(80\) 2.10592 + 2.25675i 0.235450 + 0.252312i
\(81\) 6.77032 + 6.77032i 0.752258 + 0.752258i
\(82\) 7.51732 + 5.67654i 0.830149 + 0.626869i
\(83\) −0.663054 + 3.33340i −0.0727796 + 0.365888i −0.999962 0.00872251i \(-0.997224\pi\)
0.927182 + 0.374610i \(0.122224\pi\)
\(84\) 9.70527 + 18.9372i 1.05893 + 2.06622i
\(85\) −2.76085 1.84474i −0.299456 0.200090i
\(86\) −7.96274 8.93954i −0.858645 0.963976i
\(87\) 2.76219 + 1.14414i 0.296138 + 0.122664i
\(88\) 1.44177 0.321679i 0.153693 0.0342911i
\(89\) 12.3740 5.12547i 1.31164 0.543299i 0.386277 0.922383i \(-0.373761\pi\)
0.925362 + 0.379084i \(0.123761\pi\)
\(90\) 1.32761 2.74537i 0.139942 0.289387i
\(91\) 1.57863 + 7.93632i 0.165486 + 0.831953i
\(92\) 9.84225 + 12.4245i 1.02613 + 1.29534i
\(93\) 2.08420 + 3.11923i 0.216122 + 0.323449i
\(94\) 1.14017 + 1.94007i 0.117599 + 0.200103i
\(95\) 5.01463i 0.514490i
\(96\) −10.5767 8.57629i −1.07948 0.875314i
\(97\) 3.44120i 0.349401i 0.984622 + 0.174700i \(0.0558956\pi\)
−0.984622 + 0.174700i \(0.944104\pi\)
\(98\) −15.2854 + 8.98315i −1.54406 + 0.907435i
\(99\) −0.810809 1.21346i −0.0814894 0.121958i
\(100\) −8.75038 1.01477i −0.875038 0.101477i
\(101\) −0.978121 4.91735i −0.0973267 0.489294i −0.998446 0.0557237i \(-0.982253\pi\)
0.901120 0.433571i \(-0.142747\pi\)
\(102\) 13.1870 + 6.37696i 1.30570 + 0.631413i
\(103\) −1.88632 + 0.781338i −0.185864 + 0.0769875i −0.473675 0.880700i \(-0.657073\pi\)
0.287810 + 0.957687i \(0.407073\pi\)
\(104\) −2.97573 4.23757i −0.291794 0.415528i
\(105\) 7.58544 + 3.14199i 0.740263 + 0.306627i
\(106\) 7.46943 6.65326i 0.725495 0.646222i
\(107\) 3.54710 + 2.37010i 0.342911 + 0.229126i 0.715086 0.699037i \(-0.246388\pi\)
−0.372174 + 0.928163i \(0.621388\pi\)
\(108\) 0.303738 0.942360i 0.0292272 0.0906787i
\(109\) 2.58869 13.0142i 0.247952 1.24654i −0.633306 0.773901i \(-0.718303\pi\)
0.881258 0.472636i \(-0.156697\pi\)
\(110\) 0.343473 0.454854i 0.0327489 0.0433686i
\(111\) −3.24196 3.24196i −0.307713 0.307713i
\(112\) 10.3246 14.3524i 0.975585 1.35617i
\(113\) −0.380557 + 0.380557i −0.0357998 + 0.0357998i −0.724780 0.688980i \(-0.758059\pi\)
0.688980 + 0.724780i \(0.258059\pi\)
\(114\) −3.05676 21.9095i −0.286292 2.05201i
\(115\) 5.99824 + 1.19312i 0.559339 + 0.111259i
\(116\) −0.200733 2.47596i −0.0186376 0.229887i
\(117\) −2.84209 + 4.25348i −0.262751 + 0.393235i
\(118\) 1.06363 + 0.0614684i 0.0979154 + 0.00565863i
\(119\) −7.27821 + 17.5712i −0.667193 + 1.61075i
\(120\) −5.25252 + 0.121718i −0.479487 + 0.0111113i
\(121\) 4.10513 + 9.91067i 0.373194 + 0.900970i
\(122\) −5.38042 + 1.87287i −0.487120 + 0.169562i
\(123\) −15.7255 + 3.12799i −1.41792 + 0.282042i
\(124\) 1.51659 2.72310i 0.136194 0.244542i
\(125\) −6.03420 + 4.03192i −0.539715 + 0.360626i
\(126\) −16.9063 4.39038i −1.50614 0.391126i
\(127\) −10.5330 −0.934651 −0.467325 0.884085i \(-0.654782\pi\)
−0.467325 + 0.884085i \(0.654782\pi\)
\(128\) −2.33342 + 11.0705i −0.206247 + 0.978500i
\(129\) 20.3771 1.79410
\(130\) −1.93375 0.502172i −0.169601 0.0440434i
\(131\) −13.0608 + 8.72693i −1.14112 + 0.762475i −0.974686 0.223577i \(-0.928227\pi\)
−0.166438 + 0.986052i \(0.553227\pi\)
\(132\) −1.22341 + 2.19668i −0.106484 + 0.191197i
\(133\) 28.1710 5.60356i 2.44274 0.485890i
\(134\) 4.90365 1.70691i 0.423611 0.147455i
\(135\) −0.146193 0.352941i −0.0125823 0.0303763i
\(136\) −0.281953 12.1671i −0.0241773 1.04332i
\(137\) −5.91955 + 14.2911i −0.505742 + 1.22097i 0.440572 + 0.897717i \(0.354776\pi\)
−0.946313 + 0.323251i \(0.895224\pi\)
\(138\) −26.9343 1.55656i −2.29280 0.132503i
\(139\) 7.35516 11.0078i 0.623856 0.933667i −0.376119 0.926572i \(-0.622741\pi\)
0.999975 0.00709534i \(-0.00225854\pi\)
\(140\) −0.551247 6.79940i −0.0465889 0.574654i
\(141\) −3.75665 0.747245i −0.316367 0.0629294i
\(142\) −0.162127 1.16205i −0.0136054 0.0975173i
\(143\) −0.676090 + 0.676090i −0.0565375 + 0.0565375i
\(144\) 11.0314 1.80053i 0.919283 0.150044i
\(145\) −0.677733 0.677733i −0.0562826 0.0562826i
\(146\) 0.652155 0.863635i 0.0539728 0.0714749i
\(147\) 5.88739 29.5979i 0.485584 2.44120i
\(148\) −1.16861 + 3.62567i −0.0960595 + 0.298028i
\(149\) −4.87958 3.26043i −0.399751 0.267105i 0.339404 0.940641i \(-0.389775\pi\)
−0.739155 + 0.673536i \(0.764775\pi\)
\(150\) 11.1963 9.97293i 0.914176 0.814287i
\(151\) −10.8095 4.47745i −0.879666 0.364369i −0.103298 0.994650i \(-0.532940\pi\)
−0.776367 + 0.630281i \(0.782940\pi\)
\(152\) −15.0418 + 10.5627i −1.22005 + 0.856750i
\(153\) −11.1085 + 4.60127i −0.898065 + 0.371991i
\(154\) −2.93907 1.42128i −0.236837 0.114530i
\(155\) −0.234623 1.17953i −0.0188454 0.0947423i
\(156\) 8.75488 + 1.01530i 0.700951 + 0.0812888i
\(157\) 8.18769 + 12.2537i 0.653449 + 0.977955i 0.999214 + 0.0396342i \(0.0126193\pi\)
−0.345766 + 0.938321i \(0.612381\pi\)
\(158\) 10.6537 6.26110i 0.847560 0.498106i
\(159\) 17.0260i 1.35025i
\(160\) 2.08042 + 3.83764i 0.164472 + 0.303392i
\(161\) 35.0299i 2.76074i
\(162\) 6.86068 + 11.6739i 0.539026 + 0.917189i
\(163\) −2.55092 3.81772i −0.199803 0.299027i 0.718015 0.696028i \(-0.245051\pi\)
−0.917818 + 0.397001i \(0.870051\pi\)
\(164\) 8.27198 + 10.4423i 0.645933 + 0.815404i
\(165\) 0.189267 + 0.951510i 0.0147344 + 0.0740749i
\(166\) −2.09250 + 4.32710i −0.162410 + 0.335848i
\(167\) −6.64505 + 2.75247i −0.514209 + 0.212992i −0.624671 0.780888i \(-0.714767\pi\)
0.110462 + 0.993880i \(0.464767\pi\)
\(168\) 6.55317 + 29.3714i 0.505588 + 2.26605i
\(169\) −8.91406 3.69232i −0.685697 0.284025i
\(170\) −3.12334 3.50648i −0.239549 0.268935i
\(171\) 15.0983 + 10.0884i 1.15460 + 0.771476i
\(172\) −7.72180 15.0670i −0.588782 1.14885i
\(173\) 3.19519 16.0633i 0.242926 1.22127i −0.646042 0.763302i \(-0.723577\pi\)
0.888968 0.457970i \(-0.151423\pi\)
\(174\) 3.37422 + 2.54797i 0.255799 + 0.193161i
\(175\) 13.7660 + 13.7660i 1.04061 + 1.04061i
\(176\) 2.08786 + 0.0721800i 0.157378 + 0.00544077i
\(177\) −1.28230 + 1.28230i −0.0963832 + 0.0963832i
\(178\) 18.7596 2.61729i 1.40609 0.196174i
\(179\) −9.80775 1.95088i −0.733066 0.145816i −0.185578 0.982630i \(-0.559416\pi\)
−0.547488 + 0.836814i \(0.684416\pi\)
\(180\) 2.79312 3.28597i 0.208187 0.244922i
\(181\) 2.78837 4.17310i 0.207258 0.310184i −0.713248 0.700912i \(-0.752777\pi\)
0.920506 + 0.390728i \(0.127777\pi\)
\(182\) −0.660232 + 11.4245i −0.0489396 + 0.846839i
\(183\) 3.71089 8.95888i 0.274317 0.662259i
\(184\) 9.05571 + 20.5054i 0.667596 + 1.51168i
\(185\) 0.562468 + 1.35792i 0.0413534 + 0.0998360i
\(186\) 1.74410 + 5.01049i 0.127884 + 0.367387i
\(187\) −2.20411 + 0.438425i −0.161180 + 0.0320608i
\(188\) 0.871047 + 3.06088i 0.0635276 + 0.223237i
\(189\) −1.81937 + 1.21567i −0.132340 + 0.0884268i
\(190\) −1.78252 + 6.86409i −0.129318 + 0.497973i
\(191\) 20.5971 1.49035 0.745176 0.666868i \(-0.232366\pi\)
0.745176 + 0.666868i \(0.232366\pi\)
\(192\) −11.4289 15.4990i −0.824810 1.11854i
\(193\) −15.8384 −1.14008 −0.570038 0.821618i \(-0.693072\pi\)
−0.570038 + 0.821618i \(0.693072\pi\)
\(194\) −1.22322 + 4.71035i −0.0878223 + 0.338183i
\(195\) 2.82751 1.88928i 0.202482 0.135294i
\(196\) −24.1160 + 6.86281i −1.72257 + 0.490201i
\(197\) −25.5976 + 5.09169i −1.82376 + 0.362768i −0.983712 0.179750i \(-0.942471\pi\)
−0.840044 + 0.542518i \(0.817471\pi\)
\(198\) −0.678502 1.94921i −0.0482191 0.138525i
\(199\) −5.61103 13.5462i −0.397756 0.960267i −0.988197 0.153187i \(-0.951046\pi\)
0.590442 0.807080i \(-0.298954\pi\)
\(200\) −11.6169 4.49949i −0.821439 0.318162i
\(201\) −3.38206 + 8.16501i −0.238552 + 0.575916i
\(202\) 0.409080 7.07861i 0.0287828 0.498049i
\(203\) −3.05001 + 4.56467i −0.214069 + 0.320377i
\(204\) 15.7837 + 13.4164i 1.10508 + 0.939332i
\(205\) 5.04126 + 1.00277i 0.352097 + 0.0700364i
\(206\) −2.85975 + 0.398985i −0.199248 + 0.0277986i
\(207\) 15.6595 15.6595i 1.08841 1.08841i
\(208\) −2.56690 6.85820i −0.177983 0.475530i
\(209\) 2.39987 + 2.39987i 0.166002 + 0.166002i
\(210\) 9.26617 + 6.99715i 0.639426 + 0.482849i
\(211\) −3.71581 + 18.6806i −0.255807 + 1.28603i 0.612686 + 0.790326i \(0.290089\pi\)
−0.868493 + 0.495701i \(0.834911\pi\)
\(212\) 12.5892 6.45195i 0.864633 0.443122i
\(213\) 1.66052 + 1.10953i 0.113777 + 0.0760235i
\(214\) 4.01283 + 4.50508i 0.274311 + 0.307961i
\(215\) −6.03520 2.49986i −0.411597 0.170489i
\(216\) 0.750736 1.18195i 0.0510811 0.0804212i
\(217\) −6.36415 + 2.63612i −0.432027 + 0.178951i
\(218\) 8.16953 16.8938i 0.553310 1.14419i
\(219\) 0.359363 + 1.80664i 0.0242835 + 0.122081i
\(220\) 0.631835 0.500517i 0.0425983 0.0337448i
\(221\) 4.37640 + 6.54974i 0.294388 + 0.440583i
\(222\) −3.28523 5.59004i −0.220490 0.375179i
\(223\) 9.71045i 0.650260i −0.945669 0.325130i \(-0.894592\pi\)
0.945669 0.325130i \(-0.105408\pi\)
\(224\) 19.2342 15.9756i 1.28514 1.06742i
\(225\) 12.3077i 0.820514i
\(226\) −0.656186 + 0.385637i −0.0436488 + 0.0256522i
\(227\) 2.12248 + 3.17651i 0.140874 + 0.210833i 0.895197 0.445671i \(-0.147035\pi\)
−0.754323 + 0.656503i \(0.772035\pi\)
\(228\) 3.60393 31.0766i 0.238676 2.05810i
\(229\) −1.76419 8.86919i −0.116581 0.586093i −0.994273 0.106868i \(-0.965918\pi\)
0.877692 0.479225i \(-0.159082\pi\)
\(230\) 7.78635 + 3.76532i 0.513416 + 0.248278i
\(231\) 5.13386 2.12651i 0.337783 0.139914i
\(232\) 0.605350 3.46048i 0.0397432 0.227191i
\(233\) −2.54691 1.05496i −0.166854 0.0691130i 0.297693 0.954662i \(-0.403783\pi\)
−0.464547 + 0.885549i \(0.653783\pi\)
\(234\) −5.40225 + 4.81196i −0.353156 + 0.314567i
\(235\) 1.02096 + 0.682183i 0.0666000 + 0.0445007i
\(236\) 1.43406 + 0.462223i 0.0933496 + 0.0300881i
\(237\) −4.10341 + 20.6292i −0.266545 + 1.34001i
\(238\) −16.2084 + 21.4645i −1.05064 + 1.39133i
\(239\) −8.73109 8.73109i −0.564767 0.564767i 0.365891 0.930658i \(-0.380764\pi\)
−0.930658 + 0.365891i \(0.880764\pi\)
\(240\) −7.23297 1.70047i −0.466886 0.109765i
\(241\) 16.1373 16.1373i 1.03949 1.03949i 0.0403070 0.999187i \(-0.487166\pi\)
0.999187 0.0403070i \(-0.0128336\pi\)
\(242\) 2.09626 + 15.0251i 0.134753 + 0.965848i
\(243\) −21.1482 4.20663i −1.35666 0.269856i
\(244\) −8.03052 + 0.651058i −0.514101 + 0.0416797i
\(245\) −5.37479 + 8.04394i −0.343383 + 0.513908i
\(246\) −22.6371 1.30822i −1.44329 0.0834092i
\(247\) 4.55261 10.9910i 0.289676 0.699339i
\(248\) 3.04389 3.18832i 0.193287 0.202458i
\(249\) −3.13080 7.55841i −0.198406 0.478995i
\(250\) −9.69289 + 3.37400i −0.613032 + 0.213390i
\(251\) 23.2770 4.63008i 1.46923 0.292248i 0.605355 0.795956i \(-0.293031\pi\)
0.863874 + 0.503708i \(0.168031\pi\)
\(252\) −21.5810 12.0192i −1.35947 0.757139i
\(253\) 3.44159 2.29960i 0.216371 0.144575i
\(254\) −14.4177 3.74410i −0.904645 0.234926i
\(255\) 7.99278 0.500527
\(256\) −7.12917 + 14.3239i −0.445573 + 0.895246i
\(257\) 0.938259 0.0585270 0.0292635 0.999572i \(-0.490684\pi\)
0.0292635 + 0.999572i \(0.490684\pi\)
\(258\) 27.8923 + 7.24332i 1.73650 + 0.450950i
\(259\) 6.99993 4.67720i 0.434954 0.290627i
\(260\) −2.46843 1.37476i −0.153086 0.0852589i
\(261\) −3.40400 + 0.677098i −0.210702 + 0.0419113i
\(262\) −20.9798 + 7.30288i −1.29614 + 0.451173i
\(263\) 4.19405 + 10.1253i 0.258616 + 0.624354i 0.998847 0.0479979i \(-0.0152841\pi\)
−0.740231 + 0.672352i \(0.765284\pi\)
\(264\) −2.45546 + 2.57196i −0.151123 + 0.158293i
\(265\) 2.08876 5.04271i 0.128311 0.309771i
\(266\) 40.5527 + 2.34358i 2.48644 + 0.143694i
\(267\) −17.9116 + 26.8066i −1.09617 + 1.64054i
\(268\) 7.31892 0.593366i 0.447074 0.0362456i
\(269\) 23.0601 + 4.58694i 1.40600 + 0.279671i 0.839038 0.544073i \(-0.183118\pi\)
0.566963 + 0.823744i \(0.308118\pi\)
\(270\) −0.0746525 0.535076i −0.00454321 0.0325637i
\(271\) −2.19673 + 2.19673i −0.133442 + 0.133442i −0.770673 0.637231i \(-0.780080\pi\)
0.637231 + 0.770673i \(0.280080\pi\)
\(272\) 3.93904 16.7547i 0.238839 1.01590i
\(273\) −13.7731 13.7731i −0.833587 0.833587i
\(274\) −13.1827 + 17.4576i −0.796398 + 1.05465i
\(275\) −0.448780 + 2.25617i −0.0270625 + 0.136052i
\(276\) −36.3147 11.7048i −2.18589 0.704548i
\(277\) −7.16558 4.78789i −0.430538 0.287676i 0.321358 0.946958i \(-0.395861\pi\)
−0.751896 + 0.659281i \(0.770861\pi\)
\(278\) 13.9807 12.4531i 0.838506 0.746885i
\(279\) −4.02340 1.66655i −0.240875 0.0997736i
\(280\) 1.66239 9.50305i 0.0993470 0.567916i
\(281\) 2.11464 0.875914i 0.126149 0.0522527i −0.318716 0.947850i \(-0.603252\pi\)
0.444865 + 0.895598i \(0.353252\pi\)
\(282\) −4.87653 2.35819i −0.290393 0.140428i
\(283\) 4.65354 + 23.3949i 0.276624 + 1.39068i 0.830005 + 0.557755i \(0.188337\pi\)
−0.553381 + 0.832928i \(0.686663\pi\)
\(284\) 0.191148 1.64826i 0.0113425 0.0978063i
\(285\) −6.70626 10.0366i −0.397244 0.594518i
\(286\) −1.16577 + 0.685113i −0.0689332 + 0.0405116i
\(287\) 29.4411i 1.73785i
\(288\) 15.7399 + 1.45669i 0.927484 + 0.0858360i
\(289\) 1.51475i 0.0891029i
\(290\) −0.686778 1.16860i −0.0403290 0.0686224i
\(291\) −4.60204 6.88744i −0.269776 0.403749i
\(292\) 1.19967 0.950335i 0.0702053 0.0556141i
\(293\) 5.30837 + 26.6870i 0.310118 + 1.55907i 0.750260 + 0.661143i \(0.229928\pi\)
−0.440142 + 0.897928i \(0.645072\pi\)
\(294\) 18.5798 38.4212i 1.08359 2.24077i
\(295\) 0.537098 0.222473i 0.0312710 0.0129529i
\(296\) −2.88841 + 4.54746i −0.167885 + 0.264316i
\(297\) −0.238872 0.0989440i −0.0138608 0.00574131i
\(298\) −5.52026 6.19743i −0.319780 0.359008i
\(299\) −12.0636 8.06067i −0.697658 0.466160i
\(300\) 18.8707 9.67117i 1.08950 0.558365i
\(301\) −7.29964 + 36.6978i −0.420744 + 2.11522i
\(302\) −13.2046 9.97118i −0.759840 0.573777i
\(303\) 8.53383 + 8.53383i 0.490256 + 0.490256i
\(304\) −24.3441 + 9.11156i −1.39623 + 0.522584i
\(305\) −2.19815 + 2.19815i −0.125866 + 0.125866i
\(306\) −16.8410 + 2.34961i −0.962734 + 0.134318i
\(307\) 32.1099 + 6.38706i 1.83261 + 0.364529i 0.985874 0.167486i \(-0.0535648\pi\)
0.846735 + 0.532015i \(0.178565\pi\)
\(308\) −3.51782 2.99020i −0.200447 0.170382i
\(309\) 2.73049 4.08646i 0.155332 0.232471i
\(310\) 0.0981266 1.69796i 0.00557322 0.0964375i
\(311\) −4.28733 + 10.3505i −0.243112 + 0.586924i −0.997589 0.0694024i \(-0.977891\pi\)
0.754477 + 0.656327i \(0.227891\pi\)
\(312\) 11.6229 + 4.50180i 0.658016 + 0.254864i
\(313\) 3.78250 + 9.13175i 0.213799 + 0.516157i 0.994001 0.109371i \(-0.0348836\pi\)
−0.780202 + 0.625528i \(0.784884\pi\)
\(314\) 6.85163 + 19.6835i 0.386660 + 1.11080i
\(315\) −9.34796 + 1.85942i −0.526698 + 0.104767i
\(316\) 16.8085 4.78326i 0.945550 0.269079i
\(317\) 14.8080 9.89442i 0.831703 0.555726i −0.0652416 0.997869i \(-0.520782\pi\)
0.896944 + 0.442143i \(0.145782\pi\)
\(318\) −6.05215 + 23.3054i −0.339388 + 1.30690i
\(319\) −0.648689 −0.0363196
\(320\) 1.48356 + 5.99253i 0.0829333 + 0.334992i
\(321\) −10.2690 −0.573161
\(322\) 12.4519 47.9494i 0.693917 2.67211i
\(323\) 23.2492 15.5346i 1.29362 0.864368i
\(324\) 5.24132 + 18.4181i 0.291185 + 1.02323i
\(325\) 7.90844 1.57309i 0.438681 0.0872591i
\(326\) −2.13466 6.13250i −0.118228 0.339647i
\(327\) 12.2232 + 29.5095i 0.675946 + 1.63188i
\(328\) 7.61093 + 17.2339i 0.420243 + 0.951582i
\(329\) 2.69148 6.49781i 0.148386 0.358236i
\(330\) −0.0791572 + 1.36972i −0.00435746 + 0.0754004i
\(331\) −9.69258 + 14.5060i −0.532752 + 0.797320i −0.996042 0.0888869i \(-0.971669\pi\)
0.463289 + 0.886207i \(0.346669\pi\)
\(332\) −4.40237 + 5.17917i −0.241611 + 0.284244i
\(333\) 5.22004 + 1.03833i 0.286057 + 0.0569002i
\(334\) −10.0742 + 1.40553i −0.551237 + 0.0769073i
\(335\) 2.00337 2.00337i 0.109456 0.109456i
\(336\) −1.47043 + 42.5333i −0.0802186 + 2.32038i
\(337\) 8.62689 + 8.62689i 0.469937 + 0.469937i 0.901894 0.431957i \(-0.142177\pi\)
−0.431957 + 0.901894i \(0.642177\pi\)
\(338\) −10.8892 8.22273i −0.592293 0.447258i
\(339\) 0.252739 1.27061i 0.0137269 0.0690099i
\(340\) −3.02883 5.90995i −0.164261 0.320512i
\(341\) −0.676777 0.452208i −0.0366495 0.0244884i
\(342\) 17.0807 + 19.1760i 0.923617 + 1.03692i
\(343\) 22.6098 + 9.36530i 1.22082 + 0.505679i
\(344\) −5.21390 23.3687i −0.281114 1.25996i
\(345\) −13.6009 + 5.63367i −0.732247 + 0.303307i
\(346\) 10.0836 20.8519i 0.542096 1.12100i
\(347\) −2.46321 12.3834i −0.132232 0.664776i −0.988861 0.148843i \(-0.952445\pi\)
0.856629 0.515933i \(-0.172555\pi\)
\(348\) 3.71296 + 4.68711i 0.199035 + 0.251255i
\(349\) −9.48101 14.1893i −0.507507 0.759538i 0.485920 0.874003i \(-0.338485\pi\)
−0.993427 + 0.114465i \(0.963485\pi\)
\(350\) 13.9498 + 23.7365i 0.745647 + 1.26877i
\(351\) 0.906293i 0.0483743i
\(352\) 2.83223 + 0.840961i 0.150958 + 0.0448234i
\(353\) 23.9464i 1.27454i 0.770641 + 0.637270i \(0.219936\pi\)
−0.770641 + 0.637270i \(0.780064\pi\)
\(354\) −2.21103 + 1.29941i −0.117515 + 0.0690629i
\(355\) −0.355691 0.532329i −0.0188781 0.0282531i
\(356\) 26.6087 + 3.08579i 1.41026 + 0.163546i
\(357\) −8.93147 44.9015i −0.472704 2.37644i
\(358\) −12.7315 6.15670i −0.672880 0.325392i
\(359\) −23.0491 + 9.54726i −1.21649 + 0.503885i −0.896291 0.443467i \(-0.853748\pi\)
−0.320195 + 0.947352i \(0.603748\pi\)
\(360\) 4.99130 3.50502i 0.263065 0.184731i
\(361\) −21.4602 8.88911i −1.12948 0.467848i
\(362\) 5.30015 4.72101i 0.278570 0.248131i
\(363\) −21.4702 14.3459i −1.12689 0.752966i
\(364\) −4.96473 + 15.4033i −0.260223 + 0.807351i
\(365\) 0.115204 0.579170i 0.00603006 0.0303152i
\(366\) 8.26407 10.9439i 0.431970 0.572048i
\(367\) −23.6652 23.6652i −1.23532 1.23532i −0.961894 0.273421i \(-0.911845\pi\)
−0.273421 0.961894i \(-0.588155\pi\)
\(368\) 5.10662 + 31.2870i 0.266201 + 1.63095i
\(369\) 13.1611 13.1611i 0.685140 0.685140i
\(370\) 0.287221 + 2.05867i 0.0149319 + 0.107025i
\(371\) −30.6628 6.09921i −1.59193 0.316655i
\(372\) 0.606295 + 7.47839i 0.0314349 + 0.387736i
\(373\) 10.0109 14.9823i 0.518343 0.775755i −0.476283 0.879292i \(-0.658016\pi\)
0.994626 + 0.103537i \(0.0330160\pi\)
\(374\) −3.17286 0.183362i −0.164064 0.00948145i
\(375\) 6.68521 16.1395i 0.345223 0.833441i
\(376\) 0.104266 + 4.49939i 0.00537711 + 0.232038i
\(377\) 0.870152 + 2.10073i 0.0448151 + 0.108193i
\(378\) −2.92251 + 1.01730i −0.150318 + 0.0523241i
\(379\) −0.376618 + 0.0749139i −0.0193455 + 0.00384807i −0.204754 0.978814i \(-0.565639\pi\)
0.185408 + 0.982662i \(0.440639\pi\)
\(380\) −4.87988 + 8.76202i −0.250333 + 0.449482i
\(381\) 21.0814 14.0861i 1.08003 0.721655i
\(382\) 28.1935 + 7.32153i 1.44250 + 0.374602i
\(383\) 17.7262 0.905768 0.452884 0.891569i \(-0.350395\pi\)
0.452884 + 0.891569i \(0.350395\pi\)
\(384\) −10.1347 25.2777i −0.517184 1.28995i
\(385\) −1.78141 −0.0907890
\(386\) −21.6798 5.63001i −1.10348 0.286560i
\(387\) −19.6682 + 13.1419i −0.999792 + 0.668040i
\(388\) −3.34873 + 6.01277i −0.170006 + 0.305252i
\(389\) 7.58645 1.50904i 0.384648 0.0765113i 0.00102139 0.999999i \(-0.499675\pi\)
0.383627 + 0.923488i \(0.374675\pi\)
\(390\) 4.54190 1.58099i 0.229988 0.0800566i
\(391\) −13.0500 31.5056i −0.659968 1.59330i
\(392\) −35.4498 + 0.821491i −1.79049 + 0.0414916i
\(393\) 14.4699 34.9333i 0.729907 1.76215i
\(394\) −36.8483 2.12950i −1.85639 0.107283i
\(395\) 3.74613 5.60649i 0.188488 0.282093i
\(396\) −0.235865 2.90929i −0.0118526 0.146197i
\(397\) −8.20788 1.63265i −0.411942 0.0819403i −0.0152310 0.999884i \(-0.504848\pi\)
−0.396711 + 0.917944i \(0.629848\pi\)
\(398\) −2.86524 20.5368i −0.143622 1.02942i
\(399\) −48.8895 + 48.8895i −2.44754 + 2.44754i
\(400\) −14.3019 10.2883i −0.715097 0.514417i
\(401\) −18.5993 18.5993i −0.928802 0.928802i 0.0688263 0.997629i \(-0.478075\pi\)
−0.997629 + 0.0688263i \(0.978075\pi\)
\(402\) −7.53177 + 9.97416i −0.375651 + 0.497466i
\(403\) −0.556613 + 2.79828i −0.0277269 + 0.139392i
\(404\) 3.07615 9.54387i 0.153044 0.474825i
\(405\) 6.14338 + 4.10488i 0.305267 + 0.203973i
\(406\) −5.79747 + 5.16400i −0.287724 + 0.256285i
\(407\) 0.919044 + 0.380681i 0.0455553 + 0.0188696i
\(408\) 16.8358 + 23.9750i 0.833499 + 1.18694i
\(409\) 23.4672 9.72045i 1.16038 0.480645i 0.282378 0.959303i \(-0.408877\pi\)
0.878001 + 0.478658i \(0.158877\pi\)
\(410\) 6.54409 + 3.16459i 0.323189 + 0.156288i
\(411\) −7.26419 36.5195i −0.358316 1.80138i
\(412\) −4.05628 0.470404i −0.199839 0.0231752i
\(413\) −1.84998 2.76869i −0.0910314 0.136238i
\(414\) 27.0013 15.8685i 1.32704 0.779893i
\(415\) 2.62271i 0.128744i
\(416\) −1.07576 10.3000i −0.0527435 0.505000i
\(417\) 31.8680i 1.56058i
\(418\) 2.43190 + 4.13804i 0.118948 + 0.202398i
\(419\) −7.06866 10.5790i −0.345326 0.516818i 0.617632 0.786467i \(-0.288092\pi\)
−0.962959 + 0.269650i \(0.913092\pi\)
\(420\) 10.1964 + 12.8716i 0.497533 + 0.628068i
\(421\) 5.87200 + 29.5205i 0.286184 + 1.43874i 0.809758 + 0.586763i \(0.199598\pi\)
−0.523575 + 0.851980i \(0.675402\pi\)
\(422\) −11.7265 + 24.2494i −0.570839 + 1.18044i
\(423\) 4.10790 1.70155i 0.199733 0.0827321i
\(424\) 19.5257 4.35647i 0.948254 0.211569i
\(425\) 17.5094 + 7.25264i 0.849332 + 0.351805i
\(426\) 1.87855 + 2.10899i 0.0910159 + 0.102181i
\(427\) 14.8050 + 9.89240i 0.716465 + 0.478727i
\(428\) 3.89140 + 7.59303i 0.188098 + 0.367023i
\(429\) 0.449011 2.25733i 0.0216785 0.108985i
\(430\) −7.37244 5.56714i −0.355531 0.268471i
\(431\) 6.82858 + 6.82858i 0.328921 + 0.328921i 0.852176 0.523255i \(-0.175282\pi\)
−0.523255 + 0.852176i \(0.675282\pi\)
\(432\) 1.44776 1.35100i 0.0696552 0.0650000i
\(433\) −4.84377 + 4.84377i −0.232777 + 0.232777i −0.813851 0.581074i \(-0.802633\pi\)
0.581074 + 0.813851i \(0.302633\pi\)
\(434\) −9.64837 + 1.34612i −0.463136 + 0.0646157i
\(435\) 2.26282 + 0.450102i 0.108494 + 0.0215807i
\(436\) 17.1877 20.2205i 0.823142 0.968386i
\(437\) −28.6124 + 42.8214i −1.36872 + 2.04843i
\(438\) −0.150296 + 2.60069i −0.00718144 + 0.124266i
\(439\) −11.2574 + 27.1777i −0.537286 + 1.29712i 0.389325 + 0.921101i \(0.372708\pi\)
−0.926611 + 0.376022i \(0.877292\pi\)
\(440\) 1.04278 0.460518i 0.0497125 0.0219543i
\(441\) 13.4062 + 32.3653i 0.638389 + 1.54121i
\(442\) 3.66226 + 10.5210i 0.174196 + 0.500434i
\(443\) 31.0716 6.18053i 1.47626 0.293646i 0.609663 0.792661i \(-0.291305\pi\)
0.866593 + 0.499015i \(0.166305\pi\)
\(444\) −2.50980 8.81949i −0.119110 0.418554i
\(445\) 8.59364 5.74209i 0.407378 0.272201i
\(446\) 3.45172 13.2918i 0.163444 0.629384i
\(447\) 14.1266 0.668166
\(448\) 32.0068 15.0306i 1.51218 0.710127i
\(449\) 15.3871 0.726163 0.363082 0.931757i \(-0.381725\pi\)
0.363082 + 0.931757i \(0.381725\pi\)
\(450\) −4.37495 + 16.8469i −0.206237 + 0.794172i
\(451\) 2.89251 1.93271i 0.136203 0.0910079i
\(452\) −1.03528 + 0.294613i −0.0486953 + 0.0138574i
\(453\) 27.6227 5.49450i 1.29783 0.258154i
\(454\) 1.77613 + 5.10251i 0.0833581 + 0.239473i
\(455\) 2.38958 + 5.76896i 0.112025 + 0.270453i
\(456\) 15.9797 41.2569i 0.748319 1.93203i
\(457\) 3.24557 7.83549i 0.151821 0.366529i −0.829610 0.558343i \(-0.811437\pi\)
0.981431 + 0.191814i \(0.0614372\pi\)
\(458\) 0.737838 12.7674i 0.0344769 0.596579i
\(459\) −1.18344 + 1.77115i −0.0552384 + 0.0826701i
\(460\) 9.31960 + 7.92179i 0.434529 + 0.369355i
\(461\) −24.4880 4.87097i −1.14052 0.226864i −0.411536 0.911394i \(-0.635007\pi\)
−0.728985 + 0.684530i \(0.760007\pi\)
\(462\) 7.78319 1.08589i 0.362107 0.0505202i
\(463\) −19.0846 + 19.0846i −0.886939 + 0.886939i −0.994228 0.107289i \(-0.965783\pi\)
0.107289 + 0.994228i \(0.465783\pi\)
\(464\) 2.05869 4.52156i 0.0955722 0.209908i
\(465\) 2.04702 + 2.04702i 0.0949284 + 0.0949284i
\(466\) −3.11124 2.34938i −0.144125 0.108833i
\(467\) 0.264167 1.32806i 0.0122242 0.0614552i −0.974192 0.225722i \(-0.927526\pi\)
0.986416 + 0.164267i \(0.0525259\pi\)
\(468\) −9.10514 + 4.66635i −0.420885 + 0.215702i
\(469\) −13.4931 9.01581i −0.623054 0.416311i
\(470\) 1.15501 + 1.29670i 0.0532766 + 0.0598121i
\(471\) −32.7748 13.5758i −1.51018 0.625538i
\(472\) 1.79866 + 1.14245i 0.0827900 + 0.0525858i
\(473\) −4.08465 + 1.69192i −0.187813 + 0.0777945i
\(474\) −12.9498 + 26.7789i −0.594802 + 1.23000i
\(475\) −5.58387 28.0720i −0.256206 1.28803i
\(476\) −29.8161 + 23.6193i −1.36662 + 1.08259i
\(477\) −10.9807 16.4338i −0.502772 0.752451i
\(478\) −8.84762 15.0548i −0.404681 0.688591i
\(479\) 3.51984i 0.160826i −0.996762 0.0804128i \(-0.974376\pi\)
0.996762 0.0804128i \(-0.0256239\pi\)
\(480\) −9.29612 4.89870i −0.424308 0.223594i
\(481\) 3.48690i 0.158989i
\(482\) 27.8251 16.3527i 1.26740 0.744844i
\(483\) 46.8468 + 70.1112i 2.13160 + 3.19017i
\(484\) −2.47149 + 21.3116i −0.112341 + 0.968710i
\(485\) 0.518062 + 2.60448i 0.0235240 + 0.118263i
\(486\) −27.4525 13.2755i −1.24527 0.602189i
\(487\) 25.4932 10.5596i 1.15521 0.478503i 0.278932 0.960311i \(-0.410020\pi\)
0.876277 + 0.481808i \(0.160020\pi\)
\(488\) −11.2237 1.96339i −0.508073 0.0888785i
\(489\) 10.2112 + 4.22960i 0.461764 + 0.191269i
\(490\) −10.2164 + 9.10009i −0.461530 + 0.411100i
\(491\) 18.5780 + 12.4134i 0.838412 + 0.560209i 0.898997 0.437954i \(-0.144297\pi\)
−0.0605855 + 0.998163i \(0.519297\pi\)
\(492\) −30.5209 9.83741i −1.37599 0.443505i
\(493\) −1.04263 + 5.24166i −0.0469578 + 0.236073i
\(494\) 10.1386 13.4263i 0.456156 0.604077i
\(495\) −0.796346 0.796346i −0.0357931 0.0357931i
\(496\) 5.29985 3.28221i 0.237970 0.147375i
\(497\) −2.59303 + 2.59303i −0.116313 + 0.116313i
\(498\) −1.59872 11.4589i −0.0716404 0.513487i
\(499\) −7.61559 1.51483i −0.340921 0.0678133i 0.0216610 0.999765i \(-0.493105\pi\)
−0.362582 + 0.931952i \(0.618105\pi\)
\(500\) −14.4671 + 1.17289i −0.646987 + 0.0524531i
\(501\) 9.61886 14.3956i 0.429739 0.643150i
\(502\) 33.5076 + 1.93644i 1.49552 + 0.0864274i
\(503\) 16.2329 39.1897i 0.723789 1.74738i 0.0615295 0.998105i \(-0.480402\pi\)
0.662259 0.749275i \(-0.269598\pi\)
\(504\) −25.2679 24.1233i −1.12552 1.07454i
\(505\) −1.48059 3.57445i −0.0658852 0.159061i
\(506\) 5.52832 1.92435i 0.245764 0.0855479i
\(507\) 22.7791 4.53104i 1.01165 0.201231i
\(508\) −18.4042 10.2499i −0.816553 0.454768i
\(509\) −27.0838 + 18.0968i −1.20047 + 0.802126i −0.984690 0.174316i \(-0.944229\pi\)
−0.215777 + 0.976443i \(0.569229\pi\)
\(510\) 10.9406 + 2.84115i 0.484458 + 0.125808i
\(511\) −3.38237 −0.149627
\(512\) −14.8501 + 17.0726i −0.656290 + 0.754509i
\(513\) 3.21700 0.142034
\(514\) 1.28430 + 0.333518i 0.0566481 + 0.0147109i
\(515\) −1.31003 + 0.875337i −0.0577270 + 0.0385719i
\(516\) 35.6046 + 19.8295i 1.56741 + 0.872945i
\(517\) 0.815078 0.162129i 0.0358471 0.00713043i
\(518\) 11.2442 3.91398i 0.494040 0.171970i
\(519\) 15.0870 + 36.4233i 0.662246 + 1.59880i
\(520\) −2.89014 2.75922i −0.126741 0.121000i
\(521\) −9.90054 + 23.9020i −0.433750 + 1.04717i 0.544318 + 0.838879i \(0.316789\pi\)
−0.978068 + 0.208287i \(0.933211\pi\)
\(522\) −4.90012 0.283183i −0.214472 0.0123946i
\(523\) 11.2609 16.8531i 0.492404 0.736935i −0.499166 0.866507i \(-0.666360\pi\)
0.991570 + 0.129571i \(0.0413601\pi\)
\(524\) −31.3134 + 2.53867i −1.36793 + 0.110902i
\(525\) −45.9621 9.14243i −2.00595 0.399008i
\(526\) 2.14166 + 15.3505i 0.0933810 + 0.669313i
\(527\) −4.74179 + 4.74179i −0.206556 + 0.206556i
\(528\) −4.27531 + 2.64770i −0.186059 + 0.115227i
\(529\) 28.1496 + 28.1496i 1.22390 + 1.22390i
\(530\) 4.65162 6.16004i 0.202054 0.267575i
\(531\) 0.410692 2.06469i 0.0178225 0.0895998i
\(532\) 54.6759 + 17.6230i 2.37050 + 0.764052i
\(533\) −10.1390 6.77464i −0.439167 0.293442i
\(534\) −34.0464 + 30.3263i −1.47333 + 1.31235i
\(535\) 3.04144 + 1.25981i 0.131493 + 0.0544662i
\(536\) 10.2291 + 1.78941i 0.441831 + 0.0772908i
\(537\) 22.2389 9.21165i 0.959678 0.397512i
\(538\) 29.9345 + 14.4757i 1.29057 + 0.624093i
\(539\) 1.27738 + 6.42184i 0.0550208 + 0.276608i
\(540\) 0.0880154 0.758954i 0.00378758 0.0326602i
\(541\) −22.9671 34.3728i −0.987435 1.47780i −0.874989 0.484142i \(-0.839132\pi\)
−0.112445 0.993658i \(-0.535868\pi\)
\(542\) −3.78776 + 2.22605i −0.162698 + 0.0956168i
\(543\) 12.0813i 0.518459i
\(544\) 11.3475 21.5338i 0.486520 0.923256i
\(545\) 10.2396i 0.438615i
\(546\) −13.9569 23.7487i −0.597302 1.01635i
\(547\) −7.05928 10.5650i −0.301833 0.451725i 0.649288 0.760542i \(-0.275067\pi\)
−0.951121 + 0.308817i \(0.900067\pi\)
\(548\) −24.2502 + 19.2102i −1.03592 + 0.820617i
\(549\) 2.19610 + 11.0405i 0.0937271 + 0.471198i
\(550\) −1.41628 + 2.92875i −0.0603906 + 0.124882i
\(551\) 7.45682 3.08872i 0.317671 0.131584i
\(552\) −45.5473 28.9303i −1.93862 1.23136i
\(553\) −35.6820 14.7800i −1.51735 0.628508i
\(554\) −8.10640 9.10083i −0.344408 0.386657i
\(555\) −2.94175 1.96562i −0.124870 0.0834358i
\(556\) 23.5636 12.0763i 0.999318 0.512147i
\(557\) 3.09194 15.5442i 0.131010 0.658630i −0.858341 0.513079i \(-0.828505\pi\)
0.989351 0.145551i \(-0.0464954\pi\)
\(558\) −4.91488 3.71137i −0.208063 0.157115i
\(559\) 10.9583 + 10.9583i 0.463487 + 0.463487i
\(560\) 5.65350 12.4170i 0.238904 0.524712i
\(561\) 3.82513 3.82513i 0.161497 0.161497i
\(562\) 3.20591 0.447280i 0.135233 0.0188674i
\(563\) −4.98076 0.990736i −0.209914 0.0417545i 0.0890130 0.996030i \(-0.471629\pi\)
−0.298927 + 0.954276i \(0.596629\pi\)
\(564\) −5.83680 4.96136i −0.245773 0.208911i
\(565\) −0.230734 + 0.345317i −0.00970704 + 0.0145276i
\(566\) −1.94625 + 33.6774i −0.0818070 + 1.41557i
\(567\) 16.1953 39.0990i 0.680141 1.64200i
\(568\) 0.847544 2.18821i 0.0355621 0.0918153i
\(569\) 10.4799 + 25.3007i 0.439340 + 1.06066i 0.976177 + 0.216975i \(0.0696189\pi\)
−0.536837 + 0.843686i \(0.680381\pi\)
\(570\) −5.61194 16.1221i −0.235058 0.675280i
\(571\) −26.9468 + 5.36006i −1.12769 + 0.224311i −0.723474 0.690352i \(-0.757456\pi\)
−0.404216 + 0.914664i \(0.632456\pi\)
\(572\) −1.83925 + 0.523403i −0.0769028 + 0.0218846i
\(573\) −41.2243 + 27.5452i −1.72217 + 1.15072i
\(574\) 10.4653 40.2994i 0.436812 1.68206i
\(575\) −34.9068 −1.45572
\(576\) 21.0272 + 7.58891i 0.876133 + 0.316205i
\(577\) −42.3036 −1.76112 −0.880560 0.473935i \(-0.842833\pi\)
−0.880560 + 0.473935i \(0.842833\pi\)
\(578\) −0.538440 + 2.07341i −0.0223962 + 0.0862424i
\(579\) 31.7001 21.1813i 1.31741 0.880267i
\(580\) −0.524674 1.84372i −0.0217859 0.0765561i
\(581\) 14.7337 2.93073i 0.611259 0.121587i
\(582\) −3.85108 11.0635i −0.159633 0.458596i
\(583\) −1.41368 3.41293i −0.0585487 0.141349i
\(584\) 1.97993 0.874389i 0.0819302 0.0361825i
\(585\) −1.51069 + 3.64713i −0.0624593 + 0.150790i
\(586\) −2.22012 + 38.4164i −0.0917124 + 1.58697i
\(587\) −0.763948 + 1.14333i −0.0315315 + 0.0471902i −0.846901 0.531751i \(-0.821534\pi\)
0.815369 + 0.578942i \(0.196534\pi\)
\(588\) 39.0896 45.9870i 1.61203 1.89647i
\(589\) 9.93287 + 1.97577i 0.409277 + 0.0814102i
\(590\) 0.814267 0.113605i 0.0335228 0.00467703i
\(591\) 44.4235 44.4235i 1.82734 1.82734i
\(592\) −5.57015 + 5.19788i −0.228932 + 0.213632i
\(593\) 5.66121 + 5.66121i 0.232478 + 0.232478i 0.813726 0.581248i \(-0.197436\pi\)
−0.581248 + 0.813726i \(0.697436\pi\)
\(594\) −0.291800 0.220346i −0.0119727 0.00904092i
\(595\) −2.86324 + 14.3945i −0.117381 + 0.590116i
\(596\) −5.35322 10.4454i −0.219277 0.427859i
\(597\) 29.3462 + 19.6085i 1.20106 + 0.802522i
\(598\) −13.6476 15.3217i −0.558090 0.626552i
\(599\) 12.4047 + 5.13818i 0.506841 + 0.209941i 0.621426 0.783473i \(-0.286554\pi\)
−0.114585 + 0.993413i \(0.536554\pi\)
\(600\) 29.2682 6.53014i 1.19487 0.266592i
\(601\) −6.28652 + 2.60396i −0.256433 + 0.106218i −0.507197 0.861830i \(-0.669318\pi\)
0.250764 + 0.968048i \(0.419318\pi\)
\(602\) −23.0366 + 47.6376i −0.938901 + 1.94156i
\(603\) −2.00150 10.0622i −0.0815072 0.409764i
\(604\) −14.5302 18.3424i −0.591226 0.746343i
\(605\) 4.59900 + 6.88289i 0.186976 + 0.279829i
\(606\) 8.64773 + 14.7147i 0.351290 + 0.597743i
\(607\) 31.2974i 1.27032i 0.772379 + 0.635161i \(0.219066\pi\)
−0.772379 + 0.635161i \(0.780934\pi\)
\(608\) −36.5613 + 3.81855i −1.48276 + 0.154863i
\(609\) 13.2149i 0.535496i
\(610\) −3.79023 + 2.22749i −0.153462 + 0.0901885i
\(611\) −1.61839 2.42209i −0.0654730 0.0979873i
\(612\) −23.8873 2.77020i −0.965588 0.111979i
\(613\) 4.01591 + 20.1894i 0.162201 + 0.815441i 0.973123 + 0.230286i \(0.0739662\pi\)
−0.810922 + 0.585155i \(0.801034\pi\)
\(614\) 41.6820 + 20.1566i 1.68215 + 0.813455i
\(615\) −11.4310 + 4.73486i −0.460941 + 0.190928i
\(616\) −3.75233 5.34348i −0.151186 0.215295i
\(617\) 0.720564 + 0.298468i 0.0290088 + 0.0120159i 0.397141 0.917758i \(-0.370002\pi\)
−0.368132 + 0.929774i \(0.620002\pi\)
\(618\) 5.19012 4.62301i 0.208777 0.185965i
\(619\) −12.1862 8.14255i −0.489804 0.327277i 0.286022 0.958223i \(-0.407667\pi\)
−0.775826 + 0.630946i \(0.782667\pi\)
\(620\) 0.737880 2.28930i 0.0296340 0.0919406i
\(621\) 0.765417 3.84801i 0.0307151 0.154415i
\(622\) −9.54779 + 12.6439i −0.382831 + 0.506975i
\(623\) −41.8606 41.8606i −1.67711 1.67711i
\(624\) 14.3093 + 10.2936i 0.572830 + 0.412075i
\(625\) 11.6123 11.6123i 0.464492 0.464492i
\(626\) 1.93151 + 13.8442i 0.0771986 + 0.553325i
\(627\) −8.01269 1.59382i −0.319996 0.0636512i
\(628\) 2.38180 + 29.3785i 0.0950442 + 1.17233i
\(629\) 4.55322 6.81438i 0.181549 0.271707i
\(630\) −13.4565 0.777667i −0.536122 0.0309830i
\(631\) −14.7859 + 35.6964i −0.588619 + 1.42105i 0.296204 + 0.955125i \(0.404279\pi\)
−0.884823 + 0.465927i \(0.845721\pi\)
\(632\) 24.7079 0.572565i 0.982827 0.0227754i
\(633\) −17.5452 42.3580i −0.697361 1.68358i
\(634\) 23.7865 8.27986i 0.944684 0.328835i
\(635\) −7.97191 + 1.58571i −0.316355 + 0.0629270i
\(636\) −16.5685 + 29.7494i −0.656984 + 1.17964i
\(637\) 19.0832 12.7510i 0.756103 0.505212i
\(638\) −0.887933 0.230586i −0.0351536 0.00912899i
\(639\) −2.31834 −0.0917119
\(640\) −0.0994244 + 8.72999i −0.00393010 + 0.345083i
\(641\) −39.2736 −1.55121 −0.775607 0.631216i \(-0.782556\pi\)
−0.775607 + 0.631216i \(0.782556\pi\)
\(642\) −14.0564 3.65027i −0.554760 0.144065i
\(643\) −20.6027 + 13.7663i −0.812489 + 0.542888i −0.890988 0.454026i \(-0.849987\pi\)
0.0784990 + 0.996914i \(0.474987\pi\)
\(644\) 34.0886 61.2074i 1.34328 2.41191i
\(645\) 15.4224 3.06771i 0.607257 0.120791i
\(646\) 37.3457 12.9997i 1.46935 0.511465i
\(647\) 15.7086 + 37.9240i 0.617570 + 1.49095i 0.854517 + 0.519423i \(0.173853\pi\)
−0.236948 + 0.971522i \(0.576147\pi\)
\(648\) 0.627396 + 27.0740i 0.0246464 + 1.06357i
\(649\) 0.150571 0.363510i 0.00591042 0.0142690i
\(650\) 11.3843 + 0.657912i 0.446530 + 0.0258054i
\(651\) 9.21225 13.7871i 0.361057 0.540360i
\(652\) −0.742063 9.15303i −0.0290614 0.358460i
\(653\) 45.4088 + 9.03238i 1.77698 + 0.353464i 0.971112 0.238624i \(-0.0766965\pi\)
0.805873 + 0.592089i \(0.201696\pi\)
\(654\) 6.24172 + 44.7379i 0.244071 + 1.74939i
\(655\) −8.57125 + 8.57125i −0.334907 + 0.334907i
\(656\) 4.29189 + 26.2954i 0.167570 + 1.02666i
\(657\) −1.51203 1.51203i −0.0589898 0.0589898i
\(658\) 5.99387 7.93755i 0.233665 0.309438i
\(659\) 7.92659 39.8497i 0.308776 1.55232i −0.445206 0.895428i \(-0.646870\pi\)
0.753983 0.656894i \(-0.228130\pi\)
\(660\) −0.595237 + 1.84674i −0.0231696 + 0.0718844i
\(661\) −29.3540 19.6137i −1.14174 0.762886i −0.166940 0.985967i \(-0.553389\pi\)
−0.974800 + 0.223081i \(0.928389\pi\)
\(662\) −18.4237 + 16.4106i −0.716056 + 0.637815i
\(663\) −17.5184 7.25637i −0.680360 0.281814i
\(664\) −7.86703 + 5.52442i −0.305300 + 0.214389i
\(665\) 20.4777 8.48213i 0.794090 0.328923i
\(666\) 6.77617 + 3.27682i 0.262571 + 0.126974i
\(667\) −1.92037 9.65435i −0.0743570 0.373818i
\(668\) −14.2893 1.65712i −0.552871 0.0641160i
\(669\) 12.9861 + 19.4351i 0.502073 + 0.751406i
\(670\) 3.45437 2.03011i 0.133454 0.0784300i
\(671\) 2.10396i 0.0812223i
\(672\) −17.1318 + 57.6974i −0.660874 + 2.22572i
\(673\) 24.2851i 0.936122i 0.883696 + 0.468061i \(0.155047\pi\)
−0.883696 + 0.468061i \(0.844953\pi\)
\(674\) 8.74203 + 14.8751i 0.336731 + 0.572969i
\(675\) 1.21140 + 1.81298i 0.0466266 + 0.0697817i
\(676\) −11.9823 15.1261i −0.460859 0.581772i
\(677\) −4.33107 21.7738i −0.166456 0.836833i −0.970284 0.241970i \(-0.922206\pi\)
0.803827 0.594863i \(-0.202794\pi\)
\(678\) 0.797608 1.64938i 0.0306320 0.0633441i
\(679\) 14.0524 5.82070i 0.539282 0.223378i
\(680\) −2.04512 9.16625i −0.0784268 0.351510i
\(681\) −8.49614 3.51922i −0.325573 0.134857i
\(682\) −0.765636 0.859557i −0.0293177 0.0329142i
\(683\) −12.0613 8.05912i −0.461514 0.308374i 0.302989 0.952994i \(-0.402015\pi\)
−0.764503 + 0.644620i \(0.777015\pi\)
\(684\) 16.5638 + 32.3199i 0.633334 + 1.23578i
\(685\) −2.32875 + 11.7074i −0.0889768 + 0.447317i
\(686\) 27.6196 + 20.8563i 1.05452 + 0.796298i
\(687\) 15.3921 + 15.3921i 0.587244 + 0.587244i
\(688\) 1.16992 33.8408i 0.0446028 1.29017i
\(689\) −9.15621 + 9.15621i −0.348824 + 0.348824i
\(690\) −20.6196 + 2.87680i −0.784976 + 0.109518i
\(691\) 3.89100 + 0.773968i 0.148021 + 0.0294431i 0.268544 0.963267i \(-0.413457\pi\)
−0.120524 + 0.992710i \(0.538457\pi\)
\(692\) 21.2146 24.9579i 0.806458 0.948759i
\(693\) −3.58381 + 5.36355i −0.136138 + 0.203744i
\(694\) 1.03019 17.8261i 0.0391055 0.676671i
\(695\) 3.90958 9.43855i 0.148299 0.358025i
\(696\) 3.41624 + 7.73559i 0.129492 + 0.293217i
\(697\) −10.9680 26.4791i −0.415442 1.00297i
\(698\) −7.93391 22.7927i −0.300303 0.862716i
\(699\) 6.50840 1.29460i 0.246170 0.0489663i
\(700\) 10.6571 + 37.4494i 0.402802 + 1.41545i
\(701\) 32.0550 21.4185i 1.21070 0.808965i 0.224494 0.974476i \(-0.427927\pi\)
0.986208 + 0.165511i \(0.0529272\pi\)
\(702\) −0.322155 + 1.24054i −0.0121590 + 0.0468213i
\(703\) −12.3772 −0.466815
\(704\) 3.57785 + 2.15787i 0.134845 + 0.0813279i
\(705\) −2.95573 −0.111319
\(706\) −8.51211 + 32.7781i −0.320357 + 1.23362i
\(707\) −18.4259 + 12.3118i −0.692979 + 0.463034i
\(708\) −3.48838 + 0.992704i −0.131101 + 0.0373081i
\(709\) 14.3830 2.86095i 0.540164 0.107445i 0.0825345 0.996588i \(-0.473699\pi\)
0.457630 + 0.889143i \(0.348699\pi\)
\(710\) −0.297650 0.855094i −0.0111706 0.0320911i
\(711\) −9.34386 22.5581i −0.350422 0.845994i
\(712\) 35.3253 + 13.6823i 1.32387 + 0.512766i
\(713\) 4.72663 11.4111i 0.177014 0.427348i
\(714\) 3.73541 64.6366i 0.139794 2.41896i
\(715\) −0.409916 + 0.613483i −0.0153300 + 0.0229430i
\(716\) −15.2385 12.9530i −0.569490 0.484075i
\(717\) 29.1514 + 5.79857i 1.08868 + 0.216552i
\(718\) −34.9436 + 4.87525i −1.30408 + 0.181943i
\(719\) 16.4835 16.4835i 0.614730 0.614730i −0.329445 0.944175i \(-0.606862\pi\)
0.944175 + 0.329445i \(0.106862\pi\)
\(720\) 8.07806 3.02348i 0.301052 0.112678i
\(721\) 6.38132 + 6.38132i 0.237653 + 0.237653i
\(722\) −26.2152 19.7959i −0.975629 0.736725i
\(723\) −10.7173 + 53.8793i −0.398579 + 2.00379i
\(724\) 8.93306 4.57816i 0.331994 0.170146i
\(725\) 4.54863 + 3.03930i 0.168932 + 0.112877i
\(726\) −24.2892 27.2688i −0.901456 1.01204i
\(727\) −1.94412 0.805280i −0.0721034 0.0298662i 0.346340 0.938109i \(-0.387424\pi\)
−0.418444 + 0.908243i \(0.637424\pi\)
\(728\) −12.2711 + 19.3194i −0.454797 + 0.716024i
\(729\) 21.4155 8.87058i 0.793166 0.328540i
\(730\) 0.363567 0.751824i 0.0134562 0.0278262i
\(731\) 7.10614 + 35.7250i 0.262830 + 1.32134i
\(732\) 15.2021 12.0426i 0.561887 0.445107i
\(733\) 0.341596 + 0.511235i 0.0126171 + 0.0188829i 0.837725 0.546093i \(-0.183885\pi\)
−0.825107 + 0.564976i \(0.808885\pi\)
\(734\) −23.9811 40.8054i −0.885159 1.50616i
\(735\) 23.2876i 0.858975i
\(736\) −4.13142 + 44.6412i −0.152286 + 1.64550i
\(737\) 1.91752i 0.0706327i
\(738\) 22.6934 13.3368i 0.835355 0.490933i
\(739\) 5.04853 + 7.55566i 0.185713 + 0.277939i 0.912630 0.408786i \(-0.134048\pi\)
−0.726917 + 0.686725i \(0.759048\pi\)
\(740\) −0.338633 + 2.92003i −0.0124484 + 0.107342i
\(741\) 5.58675 + 28.0865i 0.205234 + 1.03178i
\(742\) −39.8035 19.2482i −1.46123 0.706624i
\(743\) 38.3032 15.8657i 1.40521 0.582056i 0.454109 0.890946i \(-0.349958\pi\)
0.951098 + 0.308890i \(0.0999576\pi\)
\(744\) −1.82840 + 10.4520i −0.0670324 + 0.383190i
\(745\) −4.18397 1.73306i −0.153289 0.0634943i
\(746\) 19.0287 16.9495i 0.696689 0.620564i
\(747\) 7.89658 + 5.27632i 0.288921 + 0.193051i
\(748\) −4.27786 1.37883i −0.156414 0.0504149i
\(749\) 3.67865 18.4938i 0.134415 0.675750i
\(750\) 14.8878 19.7156i 0.543626 0.719912i
\(751\) 24.7263 + 24.7263i 0.902275 + 0.902275i 0.995633 0.0933574i \(-0.0297599\pi\)
−0.0933574 + 0.995633i \(0.529760\pi\)
\(752\) −1.45665 + 6.19588i −0.0531187 + 0.225940i
\(753\) −40.3961 + 40.3961i −1.47212 + 1.47212i
\(754\) 0.444338 + 3.18482i 0.0161818 + 0.115984i
\(755\) −8.85527 1.76142i −0.322276 0.0641047i
\(756\) −4.36197 + 0.353638i −0.158643 + 0.0128617i
\(757\) −15.3171 + 22.9237i −0.556710 + 0.833175i −0.997936 0.0642212i \(-0.979544\pi\)
0.441226 + 0.897396i \(0.354544\pi\)
\(758\) −0.542148 0.0313312i −0.0196917 0.00113800i
\(759\) −3.81290 + 9.20514i −0.138399 + 0.334126i
\(760\) −9.79422 + 10.2589i −0.355274 + 0.372130i
\(761\) 2.39831 + 5.79004i 0.0869388 + 0.209889i 0.961369 0.275262i \(-0.0887646\pi\)
−0.874430 + 0.485151i \(0.838765\pi\)
\(762\) 33.8636 11.7876i 1.22675 0.427019i
\(763\) −57.5234 + 11.4421i −2.08249 + 0.414232i
\(764\) 35.9890 + 20.0436i 1.30204 + 0.725152i
\(765\) −7.71475 + 5.15483i −0.278927 + 0.186373i
\(766\) 24.2639 + 6.30105i 0.876690 + 0.227666i
\(767\) −1.37918 −0.0497992
\(768\) −4.88713 38.2030i −0.176349 1.37853i
\(769\) 13.9845 0.504295 0.252147 0.967689i \(-0.418863\pi\)
0.252147 + 0.967689i \(0.418863\pi\)
\(770\) −2.43841 0.633228i −0.0878743 0.0228200i
\(771\) −1.87790 + 1.25477i −0.0676307 + 0.0451894i
\(772\) −27.6744 15.4128i −0.996022 0.554720i
\(773\) <