Properties

Label 64.2.i.a.5.7
Level $64$
Weight $2$
Character 64.5
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 5.7
Character \(\chi\) \(=\) 64.5
Dual form 64.2.i.a.13.7

$q$-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 \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

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

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 −0.178250 0.983985i \(-0.557044\pi\)
−0.977297 + 0.211873i \(0.932044\pi\)
\(4\) 1.74729 0.973128i 0.873645 0.486564i
\(5\) 0.756852 + 0.150547i 0.338474 + 0.0673268i 0.361401 0.932410i \(-0.382298\pi\)
−0.0229268 + 0.999737i \(0.507298\pi\)
\(6\) −3.21501 1.11911i −1.31252 0.456876i
\(7\) −1.69148 + 4.08359i −0.639318 + 1.54345i 0.188272 + 0.982117i \(0.439711\pi\)
−0.827590 + 0.561333i \(0.810289\pi\)
\(8\) 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 0.872632 0.488379i \(-0.162412\pi\)
−0.785145 + 0.619312i \(0.787412\pi\)
\(12\) −4.79854 0.389032i −1.38522 0.112304i
\(13\) −1.79553 + 0.357153i −0.497991 + 0.0990565i −0.437694 0.899124i \(-0.644205\pi\)
−0.0602967 + 0.998180i \(0.519205\pi\)
\(14\) −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 −0.972179 0.234241i \(-0.924739\pi\)
0.234241 + 0.972179i \(0.424739\pi\)
\(18\) 2.38142 + 3.15366i 0.561305 + 0.743324i
\(19\) −1.26776 6.37347i −0.290845 1.46217i −0.799220 0.601039i \(-0.794754\pi\)
0.508375 0.861136i \(-0.330246\pi\)
\(20\) 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 0.547810 0.836603i \(-0.315462\pi\)
0.978928 + 0.204208i \(0.0654618\pi\)
\(24\) −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 −0.889991 0.455978i \(-0.849290\pi\)
0.761854 + 0.647749i \(0.224290\pi\)
\(30\) −2.26481 1.33101i −0.413495 0.243009i
\(31\) 1.55847i 0.279910i 0.990158 + 0.139955i \(0.0446957\pi\)
−0.990158 + 0.139955i \(0.955304\pi\)
\(32\) 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 −0.938146 0.346239i \(-0.887458\pi\)
0.999234 + 0.0391295i \(0.0124585\pi\)
\(38\) −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 0.153685 0.988120i \(-0.450886\pi\)
0.807378 + 0.590035i \(0.200886\pi\)
\(42\) 10.0081 11.2358i 1.54428 1.73372i
\(43\) −7.03859 + 4.70304i −1.07338 + 0.717206i −0.961025 0.276462i \(-0.910838\pi\)
−0.112350 + 0.993669i \(0.535838\pi\)
\(44\) 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 −0.620269 0.784389i \(-0.712977\pi\)
0.784389 + 0.620269i \(0.212977\pi\)
\(48\) −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 0.996657 0.0816971i \(-0.0260340\pi\)
−0.456882 + 0.889527i \(0.651034\pi\)
\(54\) 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 0.242953 0.970038i \(-0.421884\pi\)
−0.146758 + 0.989172i \(0.546884\pi\)
\(60\) −3.57322 1.01685i −0.461301 0.131274i
\(61\) −3.34952 2.23808i −0.428862 0.286556i 0.322346 0.946622i \(-0.395529\pi\)
−0.751208 + 0.660065i \(0.770529\pi\)
\(62\) 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 0.727892 0.685692i \(-0.240500\pi\)
−0.354944 + 0.934888i \(0.615500\pi\)
\(68\) −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 −0.941599 0.336736i \(-0.890677\pi\)
0.903919 + 0.427703i \(0.140677\pi\)
\(72\) 7.22993 + 3.19293i 0.852056 + 0.376290i
\(73\) 0.292843 + 0.706986i 0.0342747 + 0.0827464i 0.940090 0.340926i \(-0.110741\pi\)
−0.905815 + 0.423673i \(0.860741\pi\)
\(74\) −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 0.963360 0.268210i \(-0.0864321\pi\)
−0.268210 + 0.963360i \(0.586432\pi\)
\(80\) 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 0.927182 0.374610i \(-0.122224\pi\)
−0.999962 + 0.00872251i \(0.997224\pi\)
\(84\) 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 0.925362 0.379084i \(-0.123761\pi\)
0.386277 + 0.922383i \(0.373761\pi\)
\(90\) 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 \(-0.944104\pi\)
0.984622 0.174700i \(-0.0558956\pi\)
\(98\) −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 0.901120 + 0.433571i \(0.142747\pi\)
−0.998446 + 0.0557237i \(0.982253\pi\)
\(102\) 13.1870 6.37696i 1.30570 0.631413i
\(103\) −1.88632 0.781338i −0.185864 0.0769875i 0.287810 0.957687i \(-0.407073\pi\)
−0.473675 + 0.880700i \(0.657073\pi\)
\(104\) −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 −0.372174 0.928163i \(-0.621388\pi\)
0.715086 + 0.699037i \(0.246388\pi\)
\(108\) 0.303738 + 0.942360i 0.0292272 + 0.0906787i
\(109\) 2.58869 + 13.0142i 0.247952 + 1.24654i 0.881258 + 0.472636i \(0.156697\pi\)
−0.633306 + 0.773901i \(0.718303\pi\)
\(110\) 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 0.688980 0.724780i \(-0.258059\pi\)
−0.724780 + 0.688980i \(0.758059\pi\)
\(114\) −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 −0.166438 0.986052i \(-0.553227\pi\)
−0.974686 + 0.223577i \(0.928227\pi\)
\(132\) −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 −0.946313 0.323251i \(-0.895224\pi\)
0.440572 0.897717i \(-0.354776\pi\)
\(138\) −26.9343 + 1.55656i −2.29280 + 0.132503i
\(139\) 7.35516 + 11.0078i 0.623856 + 0.933667i 0.999975 + 0.00709534i \(0.00225854\pi\)
−0.376119 + 0.926572i \(0.622741\pi\)
\(140\) −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 −0.739155 0.673536i \(-0.764775\pi\)
0.339404 + 0.940641i \(0.389775\pi\)
\(150\) 11.1963 + 9.97293i 0.914176 + 0.814287i
\(151\) −10.8095 + 4.47745i −0.879666 + 0.364369i −0.776367 0.630281i \(-0.782940\pi\)
−0.103298 + 0.994650i \(0.532940\pi\)
\(152\) −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 −0.345766 0.938321i \(-0.612381\pi\)
0.999214 0.0396342i \(-0.0126193\pi\)
\(158\) 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 −0.917818 0.397001i \(-0.870051\pi\)
0.718015 + 0.696028i \(0.245051\pi\)
\(164\) 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 0.110462 0.993880i \(-0.464767\pi\)
−0.624671 + 0.780888i \(0.714767\pi\)
\(168\) 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 0.888968 + 0.457970i \(0.151423\pi\)
−0.646042 + 0.763302i \(0.723577\pi\)
\(174\) 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 −0.547488 0.836814i \(-0.684416\pi\)
−0.185578 + 0.982630i \(0.559416\pi\)
\(180\) 2.79312 + 3.28597i 0.208187 + 0.244922i
\(181\) 2.78837 + 4.17310i 0.207258 + 0.310184i 0.920506 0.390728i \(-0.127777\pi\)
−0.713248 + 0.700912i \(0.752777\pi\)
\(182\) −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 −0.840044 0.542518i \(-0.817471\pi\)
−0.983712 + 0.179750i \(0.942471\pi\)
\(198\) −0.678502 + 1.94921i −0.0482191 + 0.138525i
\(199\) −5.61103 + 13.5462i −0.397756 + 0.960267i 0.590442 + 0.807080i \(0.298954\pi\)
−0.988197 + 0.153187i \(0.951046\pi\)
\(200\) −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 −0.868493 0.495701i \(-0.834911\pi\)
0.612686 0.790326i \(-0.290089\pi\)
\(212\) 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 \(0.105408\pi\)
−0.945669 + 0.325130i \(0.894592\pi\)
\(224\) 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 −0.754323 0.656503i \(-0.772035\pi\)
0.895197 + 0.445671i \(0.147035\pi\)
\(228\) 3.60393 + 31.0766i 0.238676 + 2.05810i
\(229\) −1.76419 + 8.86919i −0.116581 + 0.586093i 0.877692 + 0.479225i \(0.159082\pi\)
−0.994273 + 0.106868i \(0.965918\pi\)
\(230\) 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 −0.464547 0.885549i \(-0.653783\pi\)
0.297693 + 0.954662i \(0.403783\pi\)
\(234\) −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 −0.930658 0.365891i \(-0.880764\pi\)
0.365891 + 0.930658i \(0.380764\pi\)
\(240\) −7.23297 + 1.70047i −0.466886 + 0.109765i
\(241\) 16.1373 + 16.1373i 1.03949 + 1.03949i 0.999187 + 0.0403070i \(0.0128336\pi\)
0.0403070 + 0.999187i \(0.487166\pi\)
\(242\) 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 0.863874 0.503708i \(-0.168031\pi\)
0.605355 + 0.795956i \(0.293031\pi\)
\(252\) −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 −0.740231 0.672352i \(-0.765284\pi\)
0.998847 + 0.0479979i \(0.0152841\pi\)
\(264\) −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 0.566963 0.823744i \(-0.308118\pi\)
0.839038 + 0.544073i \(0.183118\pi\)
\(270\) −0.0746525 + 0.535076i −0.00454321 + 0.0325637i
\(271\) −2.19673 2.19673i −0.133442 0.133442i 0.637231 0.770673i \(-0.280080\pi\)
−0.770673 + 0.637231i \(0.780080\pi\)
\(272\) 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 −0.751896 0.659281i \(-0.770861\pi\)
0.321358 + 0.946958i \(0.395861\pi\)
\(278\) 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 0.444865 0.895598i \(-0.353252\pi\)
−0.318716 + 0.947850i \(0.603252\pi\)
\(282\) −4.87653 + 2.35819i −0.290393 + 0.140428i
\(283\) 4.65354 23.3949i 0.276624 1.39068i −0.553381 0.832928i \(-0.686663\pi\)
0.830005 0.557755i \(-0.188337\pi\)
\(284\) 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 −0.440142 0.897928i \(-0.645072\pi\)
0.750260 0.661143i \(-0.229928\pi\)
\(294\) 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 0.846735 0.532015i \(-0.178565\pi\)
0.985874 + 0.167486i \(0.0535648\pi\)
\(308\) −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 0.754477 0.656327i \(-0.227891\pi\)
−0.997589 + 0.0694024i \(0.977891\pi\)
\(312\) 11.6229 4.50180i 0.658016 0.254864i
\(313\) 3.78250 9.13175i 0.213799 0.516157i −0.780202 0.625528i \(-0.784884\pi\)
0.994001 + 0.109371i \(0.0348836\pi\)
\(314\) 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 0.896944 0.442143i \(-0.145782\pi\)
−0.0652416 + 0.997869i \(0.520782\pi\)
\(318\) −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 0.463289 0.886207i \(-0.346669\pi\)
−0.996042 + 0.0888869i \(0.971669\pi\)
\(332\) −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 −0.431957 0.901894i \(-0.642177\pi\)
0.901894 + 0.431957i \(0.142177\pi\)
\(338\) −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 0.856629 + 0.515933i \(0.172555\pi\)
−0.988861 + 0.148843i \(0.952445\pi\)
\(348\) 3.71296 4.68711i 0.199035 0.251255i
\(349\) −9.48101 + 14.1893i −0.507507 + 0.759538i −0.993427 0.114465i \(-0.963485\pi\)
0.485920 + 0.874003i \(0.338485\pi\)
\(350\) 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 \(-0.780064\pi\)
0.770641 0.637270i \(-0.219936\pi\)
\(354\) −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 −0.320195 0.947352i \(-0.603748\pi\)
−0.896291 + 0.443467i \(0.853748\pi\)
\(360\) 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 −0.273421 + 0.961894i \(0.588155\pi\)
−0.961894 + 0.273421i \(0.911845\pi\)
\(368\) 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 0.994626 0.103537i \(-0.0330160\pi\)
−0.476283 + 0.879292i \(0.658016\pi\)
\(374\) −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 0.185408 0.982662i \(-0.440639\pi\)
−0.204754 + 0.978814i \(0.565639\pi\)
\(380\) −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 0.383627 0.923488i \(-0.374675\pi\)
0.00102139 + 0.999999i \(0.499675\pi\)
\(390\) 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 −0.396711 0.917944i \(-0.629848\pi\)
−0.0152310 + 0.999884i \(0.504848\pi\)
\(398\) −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 −0.997629 0.0688263i \(-0.978075\pi\)
0.0688263 + 0.997629i \(0.478075\pi\)
\(402\) −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 0.878001 0.478658i \(-0.158877\pi\)
0.282378 + 0.959303i \(0.408877\pi\)
\(410\) 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 −0.962959 0.269650i \(-0.913092\pi\)
0.617632 + 0.786467i \(0.288092\pi\)
\(420\) 10.1964 12.8716i 0.497533 0.628068i
\(421\) 5.87200 29.5205i 0.286184 1.43874i −0.523575 0.851980i \(-0.675402\pi\)
0.809758 0.586763i \(-0.199598\pi\)
\(422\) −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 −0.523255 0.852176i \(-0.675282\pi\)
0.852176 + 0.523255i \(0.175282\pi\)
\(432\) 1.44776 + 1.35100i 0.0696552 + 0.0650000i
\(433\) −4.84377 4.84377i −0.232777 0.232777i 0.581074 0.813851i \(-0.302633\pi\)
−0.813851 + 0.581074i \(0.802633\pi\)
\(434\) −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 −0.926611 0.376022i \(-0.877292\pi\)
0.389325 0.921101i \(-0.372708\pi\)
\(440\) 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 0.866593 0.499015i \(-0.166305\pi\)
0.609663 + 0.792661i \(0.291305\pi\)
\(444\) −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 0.981431 0.191814i \(-0.0614372\pi\)
−0.829610 + 0.558343i \(0.811437\pi\)
\(458\) 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 −0.728985 0.684530i \(-0.760007\pi\)
−0.411536 + 0.911394i \(0.635007\pi\)
\(462\) 7.78319 + 1.08589i 0.362107 + 0.0505202i
\(463\) −19.0846 19.0846i −0.886939 0.886939i 0.107289 0.994228i \(-0.465783\pi\)
−0.994228 + 0.107289i \(0.965783\pi\)
\(464\) 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 0.986416 0.164267i \(-0.0525259\pi\)
−0.974192 + 0.225722i \(0.927526\pi\)
\(468\) −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 \(0.0256239\pi\)
−0.996762 + 0.0804128i \(0.974376\pi\)
\(480\) −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 0.876277 0.481808i \(-0.160020\pi\)
0.278932 + 0.960311i \(0.410020\pi\)
\(488\) −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 −0.0605855 0.998163i \(-0.519297\pi\)
0.898997 + 0.437954i \(0.144297\pi\)
\(492\) −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 −0.362582 0.931952i \(-0.618105\pi\)
0.0216610 + 0.999765i \(0.493105\pi\)
\(500\) −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 0.662259 + 0.749275i \(0.269598\pi\)
0.0615295 + 0.998105i \(0.480402\pi\)
\(504\) −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 −0.215777 0.976443i \(-0.569229\pi\)
−0.984690 + 0.174316i \(0.944229\pi\)
\(510\) 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 −0.978068 0.208287i \(-0.933211\pi\)
0.544318 0.838879i \(-0.316789\pi\)
\(522\) −4.90012 + 0.283183i −0.214472 + 0.0123946i
\(523\) 11.2609 + 16.8531i 0.492404 + 0.736935i 0.991570 0.129571i \(-0.0413601\pi\)
−0.499166 + 0.866507i \(0.666360\pi\)
\(524\) −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 −0.112445 + 0.993658i \(0.535868\pi\)
−0.874989 + 0.484142i \(0.839132\pi\)
\(542\) −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 −0.951121 0.308817i \(-0.900067\pi\)
0.649288 + 0.760542i \(0.275067\pi\)
\(548\) −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 0.989351 + 0.145551i \(0.0464954\pi\)
−0.858341 + 0.513079i \(0.828505\pi\)
\(558\) −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 −0.298927 0.954276i \(-0.596629\pi\)
0.0890130 + 0.996030i \(0.471629\pi\)
\(564\) −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 −0.536837 0.843686i \(-0.680381\pi\)
0.976177 0.216975i \(-0.0696189\pi\)
\(570\) −5.61194 + 16.1221i −0.235058 + 0.675280i
\(571\) −26.9468 5.36006i −1.12769 0.224311i −0.404216 0.914664i \(-0.632456\pi\)
−0.723474 + 0.690352i \(0.757456\pi\)
\(572\) −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 0.815369 0.578942i \(-0.196534\pi\)
−0.846901 + 0.531751i \(0.821534\pi\)
\(588\) 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 −0.581248 0.813726i \(-0.697436\pi\)
0.813726 + 0.581248i \(0.197436\pi\)
\(594\) −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 −0.114585 0.993413i \(-0.536554\pi\)
0.621426 + 0.783473i \(0.286554\pi\)
\(600\) 29.2682 + 6.53014i 1.19487 + 0.266592i
\(601\) −6.28652 2.60396i −0.256433 0.106218i 0.250764 0.968048i \(-0.419318\pi\)
−0.507197 + 0.861830i \(0.669318\pi\)
\(602\) −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 \(-0.780934\pi\)
0.772379 0.635161i \(-0.219066\pi\)
\(608\) −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 −0.810922 0.585155i \(-0.801034\pi\)
0.973123 0.230286i \(-0.0739662\pi\)
\(614\) 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 −0.368132 0.929774i \(-0.620002\pi\)
0.397141 + 0.917758i \(0.370002\pi\)
\(618\) 5.19012 + 4.62301i 0.208777 + 0.185965i
\(619\) −12.1862 + 8.14255i −0.489804 + 0.327277i −0.775826 0.630946i \(-0.782667\pi\)
0.286022 + 0.958223i \(0.407667\pi\)
\(620\) 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 −0.884823 0.465927i \(-0.845721\pi\)
0.296204 0.955125i \(-0.404279\pi\)
\(632\) 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 0.0784990 0.996914i \(-0.474987\pi\)
−0.890988 + 0.454026i \(0.849987\pi\)
\(644\) 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 −0.236948 0.971522i \(-0.576147\pi\)
0.854517 0.519423i \(-0.173853\pi\)
\(648\) 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 0.805873 0.592089i \(-0.201696\pi\)
0.971112 + 0.238624i \(0.0766965\pi\)
\(654\) 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 0.753983 + 0.656894i \(0.228130\pi\)
−0.445206 + 0.895428i \(0.646870\pi\)
\(660\) −0.595237 1.84674i −0.0231696 0.0718844i
\(661\) −29.3540 + 19.6137i −1.14174 + 0.762886i −0.974800 0.223081i \(-0.928389\pi\)
−0.166940 + 0.985967i \(0.553389\pi\)
\(662\) −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 \(-0.844953\pi\)
0.883696 0.468061i \(-0.155047\pi\)
\(674\) 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 0.803827 + 0.594863i \(0.202794\pi\)
−0.970284 + 0.241970i \(0.922206\pi\)
\(678\) 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 −0.764503 0.644620i \(-0.777015\pi\)
0.302989 + 0.952994i \(0.402015\pi\)
\(684\) 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 −0.120524 0.992710i \(-0.538457\pi\)
0.268544 + 0.963267i \(0.413457\pi\)
\(692\) 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 0.986208 0.165511i \(-0.0529272\pi\)
0.224494 + 0.974476i \(0.427927\pi\)
\(702\) −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 0.457630 0.889143i \(-0.348699\pi\)
0.0825345 + 0.996588i \(0.473699\pi\)
\(710\) −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 0.944175 0.329445i \(-0.106862\pi\)
−0.329445 + 0.944175i \(0.606862\pi\)
\(720\) 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 −0.418444 0.908243i \(-0.637424\pi\)
0.346340 + 0.938109i \(0.387424\pi\)
\(728\) −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 −0.825107 0.564976i \(-0.808885\pi\)
0.837725 + 0.546093i \(0.183885\pi\)
\(734\) −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 −0.726917 0.686725i \(-0.759048\pi\)
0.912630 + 0.408786i \(0.134048\pi\)
\(740\) −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 0.951098 0.308890i \(-0.0999576\pi\)
0.454109 + 0.890946i \(0.349958\pi\)
\(744\) −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 −0.0933574 0.995633i \(-0.529760\pi\)
0.995633 + 0.0933574i \(0.0297599\pi\)
\(752\) −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 0.441226 0.897396i \(-0.354544\pi\)
−0.997936 + 0.0642212i \(0.979544\pi\)
\(758\) −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 −0.874430 0.485151i \(-0.838765\pi\)
0.961369 + 0.275262i \(0.0887646\pi\)
\(762\) 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
\(773\) −37.5256 7.46432i