Properties

Label 300.2.r.a.59.6
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.6
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32465 + 0.495274i) q^{2} +(1.60045 + 0.662243i) q^{3} +(1.50941 - 1.31213i) q^{4} +(0.462356 + 2.18774i) q^{5} +(-2.44803 - 0.0845826i) q^{6} +2.28606 q^{7} +(-1.34958 + 2.48569i) q^{8} +(2.12287 + 2.11977i) q^{9} +O(q^{10})\) \(q+(-1.32465 + 0.495274i) q^{2} +(1.60045 + 0.662243i) q^{3} +(1.50941 - 1.31213i) q^{4} +(0.462356 + 2.18774i) q^{5} +(-2.44803 - 0.0845826i) q^{6} +2.28606 q^{7} +(-1.34958 + 2.48569i) q^{8} +(2.12287 + 2.11977i) q^{9} +(-1.69599 - 2.66901i) q^{10} +(-2.72636 - 1.98082i) q^{11} +(3.28468 - 1.10040i) q^{12} +(0.498773 + 0.686502i) q^{13} +(-3.02824 + 1.13223i) q^{14} +(-0.708842 + 3.80756i) q^{15} +(0.556627 - 3.96108i) q^{16} +(-0.267534 + 0.823384i) q^{17} +(-3.86193 - 1.75656i) q^{18} +(0.177992 + 0.0578330i) q^{19} +(3.56849 + 2.69553i) q^{20} +(3.65873 + 1.51393i) q^{21} +(4.59253 + 1.27360i) q^{22} +(3.95361 - 5.44167i) q^{23} +(-3.80606 + 3.08446i) q^{24} +(-4.57245 + 2.02304i) q^{25} +(-1.00071 - 0.662347i) q^{26} +(1.99373 + 4.79844i) q^{27} +(3.45060 - 2.99961i) q^{28} +(-3.23281 + 1.05040i) q^{29} +(-0.946817 - 5.39477i) q^{30} +(-6.19921 - 2.01424i) q^{31} +(1.22448 + 5.52274i) q^{32} +(-3.05162 - 4.97571i) q^{33} +(-0.0534112 - 1.22320i) q^{34} +(1.05698 + 5.00132i) q^{35} +(5.98569 + 0.414121i) q^{36} +(5.08496 + 6.99884i) q^{37} +(-0.264420 + 0.0115459i) q^{38} +(0.343629 + 1.42902i) q^{39} +(-6.06203 - 1.80326i) q^{40} +(5.24265 + 7.21588i) q^{41} +(-5.59635 - 0.193361i) q^{42} -2.72313 q^{43} +(-6.71429 + 0.587480i) q^{44} +(-3.65600 + 5.62438i) q^{45} +(-2.54204 + 9.16644i) q^{46} +(9.30378 - 3.02298i) q^{47} +(3.51405 - 5.97088i) q^{48} -1.77391 q^{49} +(5.05496 - 4.94443i) q^{50} +(-0.973454 + 1.14061i) q^{51} +(1.65363 + 0.381756i) q^{52} +(-3.90510 - 12.0187i) q^{53} +(-5.01755 - 5.36882i) q^{54} +(3.07297 - 6.88043i) q^{55} +(-3.08522 + 5.68244i) q^{56} +(0.246567 + 0.210433i) q^{57} +(3.76212 - 2.99255i) q^{58} +(3.25893 - 2.36775i) q^{59} +(3.92609 + 6.67726i) q^{60} +(-9.18852 - 6.67585i) q^{61} +(9.20939 - 0.402129i) q^{62} +(4.85301 + 4.84593i) q^{63} +(-4.35728 - 6.70926i) q^{64} +(-1.27128 + 1.40860i) q^{65} +(6.50667 + 5.07970i) q^{66} +(0.869054 - 2.67467i) q^{67} +(0.676570 + 1.59386i) q^{68} +(9.93125 - 6.09087i) q^{69} +(-3.87715 - 6.10152i) q^{70} +(-4.05022 - 12.4653i) q^{71} +(-8.13406 + 2.41599i) q^{72} +(2.89931 - 3.99055i) q^{73} +(-10.2021 - 6.75259i) q^{74} +(-8.65772 + 0.209687i) q^{75} +(0.344547 - 0.146255i) q^{76} +(-6.23264 - 4.52828i) q^{77} +(-1.16294 - 1.72276i) q^{78} +(5.38950 - 1.75115i) q^{79} +(8.92319 - 0.613675i) q^{80} +(0.0131352 + 8.99999i) q^{81} +(-10.5185 - 6.96199i) q^{82} +(-11.0706 - 3.59706i) q^{83} +(7.50899 - 2.51559i) q^{84} +(-1.92505 - 0.204598i) q^{85} +(3.60720 - 1.34869i) q^{86} +(-5.86957 - 0.459791i) q^{87} +(8.60313 - 4.10361i) q^{88} +(-0.0803153 + 0.110545i) q^{89} +(2.05732 - 9.26107i) q^{90} +(1.14023 + 1.56939i) q^{91} +(-1.17258 - 13.4014i) q^{92} +(-8.58759 - 7.32907i) q^{93} +(-10.8271 + 8.61231i) q^{94} +(-0.0442282 + 0.416140i) q^{95} +(-1.69768 + 9.64976i) q^{96} +(14.4712 - 4.70199i) q^{97} +(2.34982 - 0.878572i) q^{98} +(-1.58882 - 9.98428i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32465 + 0.495274i −0.936671 + 0.350211i
\(3\) 1.60045 + 0.662243i 0.924019 + 0.382346i
\(4\) 1.50941 1.31213i 0.754704 0.656065i
\(5\) 0.462356 + 2.18774i 0.206772 + 0.978389i
\(6\) −2.44803 0.0845826i −0.999404 0.0345307i
\(7\) 2.28606 0.864051 0.432025 0.901861i \(-0.357799\pi\)
0.432025 + 0.901861i \(0.357799\pi\)
\(8\) −1.34958 + 2.48569i −0.477148 + 0.878823i
\(9\) 2.12287 + 2.11977i 0.707623 + 0.706591i
\(10\) −1.69599 2.66901i −0.536320 0.844015i
\(11\) −2.72636 1.98082i −0.822029 0.597239i 0.0952639 0.995452i \(-0.469631\pi\)
−0.917293 + 0.398213i \(0.869631\pi\)
\(12\) 3.28468 1.10040i 0.948205 0.317659i
\(13\) 0.498773 + 0.686502i 0.138335 + 0.190401i 0.872563 0.488501i \(-0.162456\pi\)
−0.734229 + 0.678902i \(0.762456\pi\)
\(14\) −3.02824 + 1.13223i −0.809331 + 0.302600i
\(15\) −0.708842 + 3.80756i −0.183022 + 0.983109i
\(16\) 0.556627 3.96108i 0.139157 0.990270i
\(17\) −0.267534 + 0.823384i −0.0648864 + 0.199700i −0.978244 0.207459i \(-0.933481\pi\)
0.913357 + 0.407159i \(0.133481\pi\)
\(18\) −3.86193 1.75656i −0.910265 0.414025i
\(19\) 0.177992 + 0.0578330i 0.0408341 + 0.0132678i 0.329363 0.944203i \(-0.393166\pi\)
−0.288529 + 0.957471i \(0.593166\pi\)
\(20\) 3.56849 + 2.69553i 0.797939 + 0.602738i
\(21\) 3.65873 + 1.51393i 0.798399 + 0.330367i
\(22\) 4.59253 + 1.27360i 0.979131 + 0.271533i
\(23\) 3.95361 5.44167i 0.824384 1.13467i −0.164558 0.986367i \(-0.552620\pi\)
0.988942 0.148300i \(-0.0473801\pi\)
\(24\) −3.80606 + 3.08446i −0.776908 + 0.629614i
\(25\) −4.57245 + 2.02304i −0.914491 + 0.404607i
\(26\) −1.00071 0.662347i −0.196255 0.129897i
\(27\) 1.99373 + 4.79844i 0.383694 + 0.923460i
\(28\) 3.45060 2.99961i 0.652103 0.566874i
\(29\) −3.23281 + 1.05040i −0.600318 + 0.195055i −0.593382 0.804921i \(-0.702208\pi\)
−0.00693593 + 0.999976i \(0.502208\pi\)
\(30\) −0.946817 5.39477i −0.172864 0.984946i
\(31\) −6.19921 2.01424i −1.11341 0.361769i −0.306161 0.951980i \(-0.599045\pi\)
−0.807249 + 0.590211i \(0.799045\pi\)
\(32\) 1.22448 + 5.52274i 0.216460 + 0.976292i
\(33\) −3.05162 4.97571i −0.531218 0.866160i
\(34\) −0.0534112 1.22320i −0.00915994 0.209777i
\(35\) 1.05698 + 5.00132i 0.178662 + 0.845378i
\(36\) 5.98569 + 0.414121i 0.997615 + 0.0690202i
\(37\) 5.08496 + 6.99884i 0.835962 + 1.15060i 0.986784 + 0.162042i \(0.0518079\pi\)
−0.150822 + 0.988561i \(0.548192\pi\)
\(38\) −0.264420 + 0.0115459i −0.0428946 + 0.00187300i
\(39\) 0.343629 + 1.42902i 0.0550246 + 0.228826i
\(40\) −6.06203 1.80326i −0.958492 0.285120i
\(41\) 5.24265 + 7.21588i 0.818764 + 1.12693i 0.989912 + 0.141686i \(0.0452524\pi\)
−0.171148 + 0.985245i \(0.554748\pi\)
\(42\) −5.59635 0.193361i −0.863536 0.0298363i
\(43\) −2.72313 −0.415273 −0.207636 0.978206i \(-0.566577\pi\)
−0.207636 + 0.978206i \(0.566577\pi\)
\(44\) −6.71429 + 0.587480i −1.01222 + 0.0885660i
\(45\) −3.65600 + 5.62438i −0.545004 + 0.838433i
\(46\) −2.54204 + 9.16644i −0.374803 + 1.35152i
\(47\) 9.30378 3.02298i 1.35710 0.440947i 0.462023 0.886868i \(-0.347124\pi\)
0.895072 + 0.445921i \(0.147124\pi\)
\(48\) 3.51405 5.97088i 0.507210 0.861823i
\(49\) −1.77391 −0.253416
\(50\) 5.05496 4.94443i 0.714879 0.699249i
\(51\) −0.973454 + 1.14061i −0.136311 + 0.159717i
\(52\) 1.65363 + 0.381756i 0.229317 + 0.0529401i
\(53\) −3.90510 12.0187i −0.536407 1.65089i −0.740589 0.671958i \(-0.765453\pi\)
0.204182 0.978933i \(-0.434547\pi\)
\(54\) −5.01755 5.36882i −0.682802 0.730604i
\(55\) 3.07297 6.88043i 0.414360 0.927757i
\(56\) −3.08522 + 5.68244i −0.412280 + 0.759348i
\(57\) 0.246567 + 0.210433i 0.0326586 + 0.0278725i
\(58\) 3.76212 2.99255i 0.493990 0.392941i
\(59\) 3.25893 2.36775i 0.424276 0.308255i −0.355080 0.934836i \(-0.615546\pi\)
0.779356 + 0.626581i \(0.215546\pi\)
\(60\) 3.92609 + 6.67726i 0.506856 + 0.862031i
\(61\) −9.18852 6.67585i −1.17647 0.854755i −0.184700 0.982795i \(-0.559131\pi\)
−0.991769 + 0.128040i \(0.959131\pi\)
\(62\) 9.20939 0.402129i 1.16959 0.0510705i
\(63\) 4.85301 + 4.84593i 0.611422 + 0.610530i
\(64\) −4.35728 6.70926i −0.544660 0.838657i
\(65\) −1.27128 + 1.40860i −0.157683 + 0.174715i
\(66\) 6.50667 + 5.07970i 0.800916 + 0.625268i
\(67\) 0.869054 2.67467i 0.106172 0.326763i −0.883832 0.467805i \(-0.845045\pi\)
0.990004 + 0.141041i \(0.0450451\pi\)
\(68\) 0.676570 + 1.59386i 0.0820461 + 0.193284i
\(69\) 9.93125 6.09087i 1.19558 0.733254i
\(70\) −3.87715 6.10152i −0.463408 0.729271i
\(71\) −4.05022 12.4653i −0.480672 1.47936i −0.838152 0.545437i \(-0.816364\pi\)
0.357480 0.933921i \(-0.383636\pi\)
\(72\) −8.13406 + 2.41599i −0.958609 + 0.284727i
\(73\) 2.89931 3.99055i 0.339338 0.467059i −0.604910 0.796294i \(-0.706791\pi\)
0.944248 + 0.329235i \(0.106791\pi\)
\(74\) −10.2021 6.75259i −1.18597 0.784973i
\(75\) −8.65772 + 0.209687i −0.999707 + 0.0242126i
\(76\) 0.344547 0.146255i 0.0395222 0.0167766i
\(77\) −6.23264 4.52828i −0.710275 0.516045i
\(78\) −1.16294 1.72276i −0.131677 0.195065i
\(79\) 5.38950 1.75115i 0.606366 0.197020i 0.0102884 0.999947i \(-0.496725\pi\)
0.596078 + 0.802927i \(0.296725\pi\)
\(80\) 8.92319 0.613675i 0.997643 0.0686109i
\(81\) 0.0131352 + 8.99999i 0.00145946 + 0.999999i
\(82\) −10.5185 6.96199i −1.16158 0.768824i
\(83\) −11.0706 3.59706i −1.21516 0.394829i −0.369842 0.929095i \(-0.620588\pi\)
−0.845317 + 0.534266i \(0.820588\pi\)
\(84\) 7.50899 2.51559i 0.819297 0.274473i
\(85\) −1.92505 0.204598i −0.208801 0.0221918i
\(86\) 3.60720 1.34869i 0.388974 0.145433i
\(87\) −5.86957 0.459791i −0.629284 0.0492947i
\(88\) 8.60313 4.10361i 0.917097 0.437447i
\(89\) −0.0803153 + 0.110545i −0.00851341 + 0.0117177i −0.813252 0.581911i \(-0.802305\pi\)
0.804739 + 0.593629i \(0.202305\pi\)
\(90\) 2.05732 9.26107i 0.216860 0.976203i
\(91\) 1.14023 + 1.56939i 0.119528 + 0.164516i
\(92\) −1.17258 13.4014i −0.122250 1.39719i
\(93\) −8.58759 7.32907i −0.890491 0.759990i
\(94\) −10.8271 + 8.61231i −1.11673 + 0.888292i
\(95\) −0.0442282 + 0.416140i −0.00453772 + 0.0426951i
\(96\) −1.69768 + 9.64976i −0.173268 + 0.984875i
\(97\) 14.4712 4.70199i 1.46933 0.477415i 0.538425 0.842674i \(-0.319020\pi\)
0.930906 + 0.365259i \(0.119020\pi\)
\(98\) 2.34982 0.878572i 0.237368 0.0887492i
\(99\) −1.58882 9.98428i −0.159683 1.00346i
\(100\) −4.24721 + 9.05324i −0.424721 + 0.905324i
\(101\) 13.1506i 1.30853i −0.756264 0.654267i \(-0.772977\pi\)
0.756264 0.654267i \(-0.227023\pi\)
\(102\) 0.724574 1.99304i 0.0717435 0.197340i
\(103\) 2.75138 + 8.46789i 0.271102 + 0.834366i 0.990224 + 0.139483i \(0.0445440\pi\)
−0.719122 + 0.694883i \(0.755456\pi\)
\(104\) −2.37956 + 0.313305i −0.233335 + 0.0307221i
\(105\) −1.62046 + 8.70433i −0.158140 + 0.849456i
\(106\) 11.1254 + 13.9865i 1.08060 + 1.35849i
\(107\) 8.26976i 0.799468i 0.916631 + 0.399734i \(0.130897\pi\)
−0.916631 + 0.399734i \(0.869103\pi\)
\(108\) 9.30554 + 4.62676i 0.895426 + 0.445211i
\(109\) 5.20389 3.78085i 0.498443 0.362140i −0.309979 0.950743i \(-0.600322\pi\)
0.808422 + 0.588604i \(0.200322\pi\)
\(110\) −0.662927 + 10.6361i −0.0632076 + 1.01412i
\(111\) 3.50327 + 14.5688i 0.332516 + 1.38281i
\(112\) 1.27248 9.05528i 0.120238 0.855644i
\(113\) 3.16393 2.29873i 0.297637 0.216246i −0.428936 0.903335i \(-0.641112\pi\)
0.726574 + 0.687089i \(0.241112\pi\)
\(114\) −0.430837 0.156632i −0.0403516 0.0146699i
\(115\) 13.7330 + 6.13349i 1.28061 + 0.571951i
\(116\) −3.50137 + 5.82736i −0.325094 + 0.541057i
\(117\) −0.396398 + 2.51464i −0.0366471 + 0.232478i
\(118\) −3.14426 + 4.75051i −0.289453 + 0.437319i
\(119\) −0.611599 + 1.88231i −0.0560652 + 0.172551i
\(120\) −8.50778 6.90056i −0.776650 0.629932i
\(121\) 0.110224 + 0.339233i 0.0100203 + 0.0308394i
\(122\) 15.4780 + 4.29235i 1.40131 + 0.388611i
\(123\) 3.61191 + 15.0206i 0.325675 + 1.35436i
\(124\) −12.0001 + 5.09385i −1.07764 + 0.457441i
\(125\) −6.53999 9.06800i −0.584954 0.811066i
\(126\) −8.82861 4.01561i −0.786516 0.357739i
\(127\) −14.5810 10.5937i −1.29386 0.940041i −0.293980 0.955812i \(-0.594980\pi\)
−0.999876 + 0.0157707i \(0.994980\pi\)
\(128\) 9.09480 + 6.72939i 0.803874 + 0.594799i
\(129\) −4.35822 1.80337i −0.383720 0.158778i
\(130\) 0.986363 2.49553i 0.0865098 0.218873i
\(131\) −3.06096 + 9.42068i −0.267438 + 0.823088i 0.723684 + 0.690131i \(0.242447\pi\)
−0.991122 + 0.132957i \(0.957553\pi\)
\(132\) −11.1349 3.50626i −0.969170 0.305181i
\(133\) 0.406900 + 0.132210i 0.0352827 + 0.0114641i
\(134\) 0.173500 + 3.97343i 0.0149881 + 0.343252i
\(135\) −9.57594 + 6.58037i −0.824166 + 0.566348i
\(136\) −1.68562 1.77623i −0.144540 0.152310i
\(137\) −11.7961 + 8.57033i −1.00780 + 0.732213i −0.963748 0.266816i \(-0.914028\pi\)
−0.0440573 + 0.999029i \(0.514028\pi\)
\(138\) −10.1388 + 12.9870i −0.863073 + 1.10552i
\(139\) −10.8962 + 14.9973i −0.924203 + 1.27206i 0.0378758 + 0.999282i \(0.487941\pi\)
−0.962078 + 0.272773i \(0.912059\pi\)
\(140\) 8.15780 + 6.16215i 0.689460 + 0.520797i
\(141\) 16.8922 + 1.32324i 1.42258 + 0.111437i
\(142\) 11.5389 + 14.5062i 0.968319 + 1.21733i
\(143\) 2.85963i 0.239134i
\(144\) 9.57823 7.22893i 0.798186 0.602411i
\(145\) −3.79273 6.58691i −0.314969 0.547013i
\(146\) −1.86416 + 6.72204i −0.154279 + 0.556320i
\(147\) −2.83906 1.17476i −0.234161 0.0968928i
\(148\) 16.8587 + 3.89198i 1.38577 + 0.319919i
\(149\) 14.1823i 1.16186i 0.813953 + 0.580931i \(0.197311\pi\)
−0.813953 + 0.580931i \(0.802689\pi\)
\(150\) 11.3646 4.56570i 0.927917 0.372788i
\(151\) 4.00292i 0.325753i −0.986646 0.162877i \(-0.947923\pi\)
0.986646 0.162877i \(-0.0520772\pi\)
\(152\) −0.383968 + 0.364382i −0.0311440 + 0.0295552i
\(153\) −2.31332 + 1.18083i −0.187021 + 0.0954640i
\(154\) 10.4988 + 2.91153i 0.846019 + 0.234618i
\(155\) 1.54041 14.4936i 0.123729 1.16415i
\(156\) 2.39374 + 1.70609i 0.191652 + 0.136596i
\(157\) 12.3551i 0.986047i 0.870016 + 0.493023i \(0.164108\pi\)
−0.870016 + 0.493023i \(0.835892\pi\)
\(158\) −6.27191 + 4.98895i −0.498967 + 0.396899i
\(159\) 1.70937 21.8214i 0.135562 1.73055i
\(160\) −11.5162 + 5.23233i −0.910435 + 0.413652i
\(161\) 9.03820 12.4400i 0.712310 0.980410i
\(162\) −4.47486 11.9154i −0.351578 0.936159i
\(163\) −9.46340 + 6.87556i −0.741231 + 0.538536i −0.893096 0.449866i \(-0.851472\pi\)
0.151866 + 0.988401i \(0.451472\pi\)
\(164\) 17.3815 + 4.01268i 1.35727 + 0.313337i
\(165\) 9.47465 8.97671i 0.737601 0.698836i
\(166\) 16.4463 0.718128i 1.27648 0.0557375i
\(167\) 11.0182 + 3.58004i 0.852617 + 0.277032i 0.702542 0.711642i \(-0.252048\pi\)
0.150075 + 0.988675i \(0.452048\pi\)
\(168\) −8.70089 + 7.05128i −0.671288 + 0.544018i
\(169\) 3.79471 11.6789i 0.291901 0.898378i
\(170\) 2.65135 0.682404i 0.203350 0.0523380i
\(171\) 0.255260 + 0.500074i 0.0195202 + 0.0382416i
\(172\) −4.11031 + 3.57310i −0.313408 + 0.272446i
\(173\) 3.43425 + 2.49513i 0.261101 + 0.189701i 0.710632 0.703563i \(-0.248409\pi\)
−0.449531 + 0.893265i \(0.648409\pi\)
\(174\) 8.00287 2.29798i 0.606696 0.174210i
\(175\) −10.4529 + 4.62479i −0.790166 + 0.349601i
\(176\) −9.36375 + 9.69677i −0.705819 + 0.730921i
\(177\) 6.78377 1.63126i 0.509899 0.122613i
\(178\) 0.0516401 0.186211i 0.00387059 0.0139571i
\(179\) 0.715917 + 2.20337i 0.0535102 + 0.164687i 0.974240 0.225513i \(-0.0724058\pi\)
−0.920730 + 0.390200i \(0.872406\pi\)
\(180\) 1.86153 + 13.2866i 0.138750 + 0.990327i
\(181\) 6.65807 20.4914i 0.494891 1.52312i −0.322236 0.946659i \(-0.604435\pi\)
0.817127 0.576458i \(-0.195565\pi\)
\(182\) −2.28768 1.51417i −0.169574 0.112238i
\(183\) −10.2847 16.7694i −0.760268 1.23963i
\(184\) 8.19060 + 17.1714i 0.603819 + 1.26589i
\(185\) −12.9606 + 14.3605i −0.952883 + 1.05581i
\(186\) 15.0055 + 5.45527i 1.10025 + 0.400000i
\(187\) 2.36037 1.71491i 0.172607 0.125406i
\(188\) 10.0767 16.7707i 0.734915 1.22313i
\(189\) 4.55780 + 10.9695i 0.331532 + 0.797916i
\(190\) −0.147516 0.573146i −0.0107019 0.0415804i
\(191\) −2.37422 + 1.72497i −0.171793 + 0.124815i −0.670359 0.742037i \(-0.733860\pi\)
0.498567 + 0.866851i \(0.333860\pi\)
\(192\) −2.53044 13.6234i −0.182619 0.983184i
\(193\) 21.4466i 1.54376i 0.635767 + 0.771881i \(0.280684\pi\)
−0.635767 + 0.771881i \(0.719316\pi\)
\(194\) −16.8406 + 13.3957i −1.20908 + 0.961756i
\(195\) −2.96745 + 1.41249i −0.212503 + 0.101150i
\(196\) −2.67756 + 2.32761i −0.191254 + 0.166258i
\(197\) 2.77791 + 8.54953i 0.197918 + 0.609128i 0.999930 + 0.0118209i \(0.00376281\pi\)
−0.802012 + 0.597308i \(0.796237\pi\)
\(198\) 7.04959 + 12.4388i 0.500993 + 0.883987i
\(199\) 19.3922i 1.37467i −0.726339 0.687337i \(-0.758780\pi\)
0.726339 0.687337i \(-0.241220\pi\)
\(200\) 1.14225 14.0959i 0.0807691 0.996733i
\(201\) 3.16216 3.70515i 0.223042 0.261341i
\(202\) 6.51314 + 17.4200i 0.458263 + 1.22566i
\(203\) −7.39042 + 2.40129i −0.518706 + 0.168538i
\(204\) 0.0272906 + 2.99895i 0.00191073 + 0.209968i
\(205\) −13.3625 + 14.8059i −0.933280 + 1.03409i
\(206\) −7.83855 9.85433i −0.546138 0.686583i
\(207\) 19.9281 3.17121i 1.38510 0.220414i
\(208\) 2.99692 1.59355i 0.207799 0.110493i
\(209\) −0.370713 0.510243i −0.0256428 0.0352942i
\(210\) −2.16448 12.3328i −0.149364 0.851043i
\(211\) 9.04161 12.4447i 0.622450 0.856729i −0.375078 0.926993i \(-0.622384\pi\)
0.997528 + 0.0702639i \(0.0223841\pi\)
\(212\) −21.6645 13.0171i −1.48792 0.894016i
\(213\) 1.77289 22.6323i 0.121476 1.55074i
\(214\) −4.09579 10.9546i −0.279983 0.748838i
\(215\) −1.25906 5.95751i −0.0858668 0.406298i
\(216\) −14.6181 1.52007i −0.994637 0.103427i
\(217\) −14.1718 4.60469i −0.962043 0.312587i
\(218\) −5.02080 + 7.58566i −0.340051 + 0.513766i
\(219\) 7.28290 4.46662i 0.492133 0.301827i
\(220\) −4.38965 14.4175i −0.295950 0.972029i
\(221\) −0.698693 + 0.227019i −0.0469992 + 0.0152710i
\(222\) −11.8561 17.5635i −0.795732 1.17878i
\(223\) 1.02230 + 0.742747i 0.0684585 + 0.0497380i 0.621488 0.783424i \(-0.286528\pi\)
−0.553030 + 0.833162i \(0.686528\pi\)
\(224\) 2.79924 + 12.6253i 0.187032 + 0.843565i
\(225\) −13.9951 5.39792i −0.933006 0.359861i
\(226\) −3.05261 + 4.61203i −0.203056 + 0.306787i
\(227\) −3.84597 + 5.29352i −0.255266 + 0.351343i −0.917347 0.398089i \(-0.869673\pi\)
0.662081 + 0.749432i \(0.269673\pi\)
\(228\) 0.648285 0.00589944i 0.0429337 0.000390700i
\(229\) 3.63799 + 11.1966i 0.240405 + 0.739891i 0.996358 + 0.0852650i \(0.0271737\pi\)
−0.755953 + 0.654626i \(0.772826\pi\)
\(230\) −21.2292 1.32317i −1.39981 0.0872471i
\(231\) −6.97619 11.3748i −0.459000 0.748406i
\(232\) 1.75196 9.45336i 0.115022 0.620644i
\(233\) −1.41795 + 4.36399i −0.0928928 + 0.285895i −0.986699 0.162559i \(-0.948025\pi\)
0.893806 + 0.448454i \(0.148025\pi\)
\(234\) −0.720343 3.52735i −0.0470903 0.230590i
\(235\) 10.9152 + 18.9566i 0.712027 + 1.23659i
\(236\) 1.81226 7.85004i 0.117968 0.510994i
\(237\) 9.78530 + 0.766528i 0.635624 + 0.0497913i
\(238\) −0.122101 2.79631i −0.00791465 0.181258i
\(239\) 0.561814 + 0.408181i 0.0363407 + 0.0264031i 0.605807 0.795611i \(-0.292850\pi\)
−0.569467 + 0.822014i \(0.692850\pi\)
\(240\) 14.6875 + 4.92717i 0.948075 + 0.318048i
\(241\) −5.97327 + 4.33983i −0.384772 + 0.279553i −0.763310 0.646033i \(-0.776427\pi\)
0.378538 + 0.925586i \(0.376427\pi\)
\(242\) −0.314021 0.394776i −0.0201861 0.0253771i
\(243\) −5.93916 + 14.4127i −0.380997 + 0.924576i
\(244\) −22.6288 + 1.97995i −1.44866 + 0.126754i
\(245\) −0.820180 3.88087i −0.0523994 0.247940i
\(246\) −12.2238 18.1081i −0.779362 1.15453i
\(247\) 0.0490749 + 0.151037i 0.00312256 + 0.00961026i
\(248\) 13.3731 12.6909i 0.849192 0.805873i
\(249\) −15.3358 13.0884i −0.971869 0.829441i
\(250\) 13.1544 + 8.77286i 0.831954 + 0.554844i
\(251\) −3.40810 −0.215118 −0.107559 0.994199i \(-0.534303\pi\)
−0.107559 + 0.994199i \(0.534303\pi\)
\(252\) 13.6837 + 0.946708i 0.861990 + 0.0596370i
\(253\) −21.5579 + 7.00460i −1.35534 + 0.440375i
\(254\) 24.5616 + 6.81141i 1.54113 + 0.427386i
\(255\) −2.94545 1.60230i −0.184451 0.100340i
\(256\) −15.3803 4.40969i −0.961271 0.275605i
\(257\) 14.2944 0.891660 0.445830 0.895118i \(-0.352909\pi\)
0.445830 + 0.895118i \(0.352909\pi\)
\(258\) 6.66629 + 0.230329i 0.415025 + 0.0143397i
\(259\) 11.6245 + 15.9998i 0.722313 + 0.994179i
\(260\) −0.0706184 + 3.79423i −0.00437957 + 0.235308i
\(261\) −9.08945 4.62296i −0.562623 0.286154i
\(262\) −0.611099 13.9951i −0.0377538 0.864622i
\(263\) −6.45346 8.88242i −0.397937 0.547714i 0.562288 0.826942i \(-0.309921\pi\)
−0.960225 + 0.279228i \(0.909921\pi\)
\(264\) 16.4865 0.870256i 1.01467 0.0535606i
\(265\) 24.4882 14.1003i 1.50430 0.866173i
\(266\) −0.604482 + 0.0263948i −0.0370631 + 0.00161837i
\(267\) −0.201748 + 0.123733i −0.0123468 + 0.00757231i
\(268\) −2.19776 5.17749i −0.134250 0.316265i
\(269\) −1.94224 0.631071i −0.118420 0.0384771i 0.249207 0.968450i \(-0.419830\pi\)
−0.367628 + 0.929973i \(0.619830\pi\)
\(270\) 9.42571 13.4594i 0.573631 0.819114i
\(271\) −2.88220 + 0.936483i −0.175081 + 0.0568873i −0.395246 0.918575i \(-0.629341\pi\)
0.220165 + 0.975463i \(0.429341\pi\)
\(272\) 3.11257 + 1.51804i 0.188728 + 0.0920447i
\(273\) 0.785557 + 3.26683i 0.0475441 + 0.197717i
\(274\) 11.3810 17.1950i 0.687552 1.03879i
\(275\) 16.4734 + 3.54167i 0.993385 + 0.213571i
\(276\) 6.99831 22.2247i 0.421248 1.33777i
\(277\) −12.9016 + 17.7575i −0.775183 + 1.06695i 0.220614 + 0.975361i \(0.429194\pi\)
−0.995797 + 0.0915865i \(0.970806\pi\)
\(278\) 7.00589 25.2628i 0.420185 1.51516i
\(279\) −8.89036 17.4169i −0.532252 1.04272i
\(280\) −13.8582 4.12236i −0.828186 0.246358i
\(281\) −6.14816 1.99766i −0.366768 0.119170i 0.119834 0.992794i \(-0.461764\pi\)
−0.486602 + 0.873624i \(0.661764\pi\)
\(282\) −23.0316 + 6.61341i −1.37151 + 0.393823i
\(283\) −2.96392 + 9.12201i −0.176187 + 0.542247i −0.999686 0.0250708i \(-0.992019\pi\)
0.823499 + 0.567318i \(0.192019\pi\)
\(284\) −22.4695 13.5008i −1.33332 0.801125i
\(285\) −0.346371 + 0.636720i −0.0205172 + 0.0377161i
\(286\) 1.41630 + 3.78802i 0.0837475 + 0.223990i
\(287\) 11.9850 + 16.4960i 0.707454 + 0.973726i
\(288\) −9.10753 + 14.3197i −0.536667 + 0.843794i
\(289\) 13.1469 + 9.55178i 0.773347 + 0.561870i
\(290\) 8.28637 + 6.84693i 0.486592 + 0.402065i
\(291\) 26.2743 + 2.05819i 1.54023 + 0.120653i
\(292\) −0.859889 9.82764i −0.0503212 0.575119i
\(293\) 12.5626 0.733914 0.366957 0.930238i \(-0.380400\pi\)
0.366957 + 0.930238i \(0.380400\pi\)
\(294\) 4.34259 + 0.150042i 0.253265 + 0.00875064i
\(295\) 6.68682 + 6.03496i 0.389322 + 0.351369i
\(296\) −24.2595 + 3.19413i −1.41005 + 0.185655i
\(297\) 4.06919 17.0315i 0.236118 0.988268i
\(298\) −7.02414 18.7867i −0.406897 1.08828i
\(299\) 5.70767 0.330083
\(300\) −12.7929 + 11.6766i −0.738598 + 0.674146i
\(301\) −6.22524 −0.358817
\(302\) 1.98254 + 5.30248i 0.114082 + 0.305123i
\(303\) 8.70889 21.0468i 0.500313 1.20911i
\(304\) 0.328156 0.672848i 0.0188210 0.0385905i
\(305\) 10.3567 23.1888i 0.593022 1.32778i
\(306\) 2.47952 2.70991i 0.141745 0.154915i
\(307\) 7.49974 0.428033 0.214016 0.976830i \(-0.431345\pi\)
0.214016 + 0.976830i \(0.431345\pi\)
\(308\) −15.3493 + 1.34302i −0.874607 + 0.0765255i
\(309\) −1.20436 + 15.3745i −0.0685134 + 0.874625i
\(310\) 5.13778 + 19.9619i 0.291806 + 1.13376i
\(311\) 14.4584 + 10.5046i 0.819860 + 0.595663i 0.916672 0.399640i \(-0.130865\pi\)
−0.0968125 + 0.995303i \(0.530865\pi\)
\(312\) −4.01585 1.07442i −0.227353 0.0608270i
\(313\) −1.77730 2.44625i −0.100459 0.138270i 0.755828 0.654770i \(-0.227235\pi\)
−0.856287 + 0.516500i \(0.827235\pi\)
\(314\) −6.11917 16.3663i −0.345325 0.923601i
\(315\) −8.35784 + 12.8577i −0.470911 + 0.724449i
\(316\) 5.83721 9.71493i 0.328369 0.546508i
\(317\) −8.26871 + 25.4485i −0.464417 + 1.42933i 0.395298 + 0.918553i \(0.370641\pi\)
−0.859714 + 0.510775i \(0.829359\pi\)
\(318\) 8.54323 + 29.7524i 0.479081 + 1.66843i
\(319\) 10.8945 + 3.53983i 0.609974 + 0.198192i
\(320\) 12.6635 12.6347i 0.707912 0.706300i
\(321\) −5.47659 + 13.2353i −0.305674 + 0.738724i
\(322\) −5.81126 + 20.9551i −0.323849 + 1.16778i
\(323\) −0.0952376 + 0.131083i −0.00529916 + 0.00729367i
\(324\) 11.8290 + 13.5674i 0.657166 + 0.753746i
\(325\) −3.66943 2.12996i −0.203543 0.118149i
\(326\) 9.13043 13.7947i 0.505688 0.764018i
\(327\) 10.8324 2.60481i 0.599033 0.144046i
\(328\) −25.0118 + 3.29318i −1.38104 + 0.181836i
\(329\) 21.2690 6.91073i 1.17260 0.381001i
\(330\) −8.10469 + 16.5836i −0.446149 + 0.912895i
\(331\) 5.34359 + 1.73624i 0.293710 + 0.0954322i 0.452166 0.891934i \(-0.350652\pi\)
−0.158456 + 0.987366i \(0.550652\pi\)
\(332\) −21.4299 + 9.09667i −1.17612 + 0.499244i
\(333\) −4.04126 + 25.6366i −0.221460 + 1.40487i
\(334\) −16.3684 + 0.714730i −0.895641 + 0.0391083i
\(335\) 6.25331 + 0.664616i 0.341655 + 0.0363118i
\(336\) 8.03334 13.6498i 0.438255 0.744659i
\(337\) −17.1205 23.5644i −0.932615 1.28363i −0.958831 0.283979i \(-0.908346\pi\)
0.0262154 0.999656i \(-0.491654\pi\)
\(338\) 0.757586 + 17.3499i 0.0412073 + 0.943712i
\(339\) 6.58602 1.58371i 0.357704 0.0860151i
\(340\) −3.17415 + 2.21709i −0.172142 + 0.120239i
\(341\) 12.9114 + 17.7711i 0.699193 + 0.962357i
\(342\) −0.585804 0.536000i −0.0316767 0.0289836i
\(343\) −20.0577 −1.08302
\(344\) 3.67507 6.76884i 0.198147 0.364951i
\(345\) 17.9170 + 18.9109i 0.964621 + 1.01813i
\(346\) −5.78496 1.60429i −0.311002 0.0862470i
\(347\) −31.7731 + 10.3237i −1.70567 + 0.554205i −0.989603 0.143828i \(-0.954059\pi\)
−0.716066 + 0.698033i \(0.754059\pi\)
\(348\) −9.46289 + 7.00763i −0.507264 + 0.375649i
\(349\) 19.2600 1.03096 0.515482 0.856900i \(-0.327613\pi\)
0.515482 + 0.856900i \(0.327613\pi\)
\(350\) 11.5559 11.3033i 0.617691 0.604186i
\(351\) −2.29972 + 3.76203i −0.122750 + 0.200802i
\(352\) 7.60116 17.4825i 0.405143 0.931818i
\(353\) 1.29250 + 3.97789i 0.0687926 + 0.211722i 0.979543 0.201236i \(-0.0644958\pi\)
−0.910750 + 0.412958i \(0.864496\pi\)
\(354\) −8.17822 + 5.52067i −0.434667 + 0.293420i
\(355\) 25.3982 14.6242i 1.34800 0.776174i
\(356\) 0.0238203 + 0.272241i 0.00126247 + 0.0144287i
\(357\) −2.22538 + 2.60751i −0.117780 + 0.138004i
\(358\) −2.03961 2.56412i −0.107797 0.135518i
\(359\) −19.3619 + 14.0673i −1.02188 + 0.742442i −0.966668 0.256033i \(-0.917584\pi\)
−0.0552152 + 0.998474i \(0.517584\pi\)
\(360\) −9.04640 16.6782i −0.476787 0.879019i
\(361\) −15.3430 11.1473i −0.807526 0.586702i
\(362\) 1.32924 + 30.4416i 0.0698631 + 1.59998i
\(363\) −0.0482479 + 0.615920i −0.00253236 + 0.0323274i
\(364\) 3.78031 + 0.872719i 0.198142 + 0.0457429i
\(365\) 10.0708 + 4.49788i 0.527131 + 0.235430i
\(366\) 21.9291 + 17.1199i 1.14625 + 0.894870i
\(367\) 0.174088 0.535788i 0.00908733 0.0279679i −0.946410 0.322968i \(-0.895320\pi\)
0.955497 + 0.295000i \(0.0953195\pi\)
\(368\) −19.3542 18.6895i −1.00891 0.974260i
\(369\) −4.16658 + 26.4316i −0.216904 + 1.37597i
\(370\) 10.0559 25.4418i 0.522782 1.32266i
\(371\) −8.92731 27.4754i −0.463483 1.42645i
\(372\) −22.5789 + 0.205469i −1.17066 + 0.0106531i
\(373\) 1.25499 1.72734i 0.0649809 0.0894385i −0.775290 0.631606i \(-0.782396\pi\)
0.840271 + 0.542167i \(0.182396\pi\)
\(374\) −2.27732 + 3.44068i −0.117757 + 0.177914i
\(375\) −4.46169 18.8439i −0.230401 0.973096i
\(376\) −5.04199 + 27.2060i −0.260021 + 1.40304i
\(377\) −2.33354 1.69542i −0.120184 0.0873185i
\(378\) −11.4704 12.2735i −0.589975 0.631279i
\(379\) −13.4079 + 4.35649i −0.688718 + 0.223778i −0.632408 0.774635i \(-0.717933\pi\)
−0.0563096 + 0.998413i \(0.517933\pi\)
\(380\) 0.479271 + 0.686158i 0.0245861 + 0.0351992i
\(381\) −16.3205 26.6109i −0.836126 1.36332i
\(382\) 2.29068 3.46088i 0.117202 0.177074i
\(383\) 13.6774 + 4.44407i 0.698885 + 0.227081i 0.636845 0.770992i \(-0.280239\pi\)
0.0620403 + 0.998074i \(0.480239\pi\)
\(384\) 10.0993 + 16.7930i 0.515376 + 0.856964i
\(385\) 7.02501 15.7291i 0.358028 0.801629i
\(386\) −10.6219 28.4093i −0.540643 1.44600i
\(387\) −5.78084 5.77241i −0.293856 0.293428i
\(388\) 15.6734 26.0854i 0.795695 1.32428i
\(389\) 8.42096 11.5905i 0.426960 0.587659i −0.540292 0.841477i \(-0.681686\pi\)
0.967252 + 0.253818i \(0.0816864\pi\)
\(390\) 3.23127 3.34075i 0.163622 0.169166i
\(391\) 3.42286 + 4.71117i 0.173102 + 0.238254i
\(392\) 2.39403 4.40939i 0.120917 0.222708i
\(393\) −11.1377 + 13.0502i −0.561822 + 0.658296i
\(394\) −7.91412 9.94933i −0.398708 0.501240i
\(395\) 6.32295 + 10.9812i 0.318142 + 0.552524i
\(396\) −15.4989 12.9856i −0.778847 0.652551i
\(397\) 4.16039 1.35179i 0.208804 0.0678445i −0.202748 0.979231i \(-0.564987\pi\)
0.411551 + 0.911387i \(0.364987\pi\)
\(398\) 9.60443 + 25.6879i 0.481426 + 1.28762i
\(399\) 0.563668 + 0.481062i 0.0282187 + 0.0240832i
\(400\) 5.46826 + 19.2379i 0.273413 + 0.961897i
\(401\) 11.1310i 0.555854i −0.960602 0.277927i \(-0.910353\pi\)
0.960602 0.277927i \(-0.0896473\pi\)
\(402\) −2.35370 + 6.47417i −0.117392 + 0.322902i
\(403\) −1.70921 5.26041i −0.0851419 0.262040i
\(404\) −17.2553 19.8496i −0.858483 0.987555i
\(405\) −19.6836 + 4.18994i −0.978086 + 0.208200i
\(406\) 8.60044 6.84115i 0.426833 0.339521i
\(407\) 29.1538i 1.44510i
\(408\) −1.52145 3.95905i −0.0753230 0.196002i
\(409\) −0.474369 + 0.344649i −0.0234560 + 0.0170418i −0.599451 0.800411i \(-0.704615\pi\)
0.575995 + 0.817453i \(0.304615\pi\)
\(410\) 10.3678 26.2308i 0.512027 1.29544i
\(411\) −24.5546 + 5.90452i −1.21119 + 0.291248i
\(412\) 15.2639 + 9.17133i 0.752000 + 0.451839i
\(413\) 7.45011 5.41283i 0.366596 0.266348i
\(414\) −24.8272 + 14.0706i −1.22019 + 0.691532i
\(415\) 2.75088 25.8828i 0.135036 1.27054i
\(416\) −3.18063 + 3.59520i −0.155943 + 0.176269i
\(417\) −27.3707 + 16.7865i −1.34035 + 0.822038i
\(418\) 0.743776 + 0.492290i 0.0363793 + 0.0240787i
\(419\) −9.15687 + 28.1820i −0.447343 + 1.37678i 0.432552 + 0.901609i \(0.357613\pi\)
−0.879894 + 0.475170i \(0.842387\pi\)
\(420\) 8.97529 + 15.2646i 0.437949 + 0.744838i
\(421\) 11.0740 + 34.0823i 0.539715 + 1.66107i 0.733235 + 0.679975i \(0.238010\pi\)
−0.193520 + 0.981096i \(0.561990\pi\)
\(422\) −5.81346 + 20.9630i −0.282995 + 1.02046i
\(423\) 26.1587 + 13.3045i 1.27188 + 0.646887i
\(424\) 35.1449 + 6.51327i 1.70679 + 0.316312i
\(425\) −0.442450 4.30611i −0.0214620 0.208877i
\(426\) 8.86070 + 30.8580i 0.429302 + 1.49507i
\(427\) −21.0055 15.2614i −1.01653 0.738552i
\(428\) 10.8510 + 12.4824i 0.524503 + 0.603362i
\(429\) 1.89377 4.57669i 0.0914321 0.220965i
\(430\) 4.61840 + 7.26805i 0.222719 + 0.350496i
\(431\) 0.769841 2.36933i 0.0370819 0.114126i −0.930802 0.365523i \(-0.880890\pi\)
0.967884 + 0.251397i \(0.0808900\pi\)
\(432\) 20.1168 5.22641i 0.967869 0.251456i
\(433\) 23.8128 + 7.73723i 1.14437 + 0.371828i 0.819019 0.573766i \(-0.194518\pi\)
0.325349 + 0.945594i \(0.394518\pi\)
\(434\) 21.0533 0.919293i 1.01059 0.0441275i
\(435\) −1.70793 13.0537i −0.0818890 0.625878i
\(436\) 2.89383 12.5350i 0.138589 0.600319i
\(437\) 1.01842 0.739924i 0.0487175 0.0353954i
\(438\) −7.43511 + 9.52375i −0.355263 + 0.455063i
\(439\) −14.3650 + 19.7717i −0.685604 + 0.943653i −0.999984 0.00564459i \(-0.998203\pi\)
0.314380 + 0.949297i \(0.398203\pi\)
\(440\) 12.9554 + 16.9241i 0.617623 + 0.806826i
\(441\) −3.76578 3.76029i −0.179323 0.179062i
\(442\) 0.813089 0.646766i 0.0386747 0.0307635i
\(443\) 3.46679i 0.164712i −0.996603 0.0823561i \(-0.973756\pi\)
0.996603 0.0823561i \(-0.0262445\pi\)
\(444\) 24.4040 + 17.3935i 1.15816 + 0.825457i
\(445\) −0.278978 0.124598i −0.0132248 0.00590653i
\(446\) −1.72206 0.477562i −0.0815419 0.0226132i
\(447\) −9.39216 + 22.6981i −0.444234 + 1.07358i
\(448\) −9.96102 15.3378i −0.470614 0.724642i
\(449\) 7.76424i 0.366417i 0.983074 + 0.183209i \(0.0586484\pi\)
−0.983074 + 0.183209i \(0.941352\pi\)
\(450\) 21.2121 + 0.218971i 0.999947 + 0.0103224i
\(451\) 30.0578i 1.41537i
\(452\) 1.75943 7.62121i 0.0827565 0.358471i
\(453\) 2.65091 6.40647i 0.124551 0.301002i
\(454\) 2.47283 8.91688i 0.116056 0.418490i
\(455\) −2.90623 + 3.22014i −0.136246 + 0.150962i
\(456\) −0.855831 + 0.328893i −0.0400779 + 0.0154018i
\(457\) 22.5468i 1.05470i 0.849649 + 0.527349i \(0.176814\pi\)
−0.849649 + 0.527349i \(0.823186\pi\)
\(458\) −10.3644 13.0298i −0.484298 0.608841i
\(459\) −4.48435 + 0.357865i −0.209312 + 0.0167037i
\(460\) 28.7766 8.76151i 1.34172 0.408507i
\(461\) −7.95325 + 10.9467i −0.370420 + 0.509839i −0.953015 0.302923i \(-0.902037\pi\)
0.582595 + 0.812763i \(0.302037\pi\)
\(462\) 14.8747 + 11.6125i 0.692032 + 0.540263i
\(463\) 22.8067 16.5701i 1.05992 0.770076i 0.0858455 0.996308i \(-0.472641\pi\)
0.974073 + 0.226232i \(0.0726409\pi\)
\(464\) 2.36127 + 13.3901i 0.109619 + 0.621621i
\(465\) 12.0636 22.1761i 0.559437 1.02839i
\(466\) −0.283083 6.48305i −0.0131136 0.300321i
\(467\) 11.0844 + 3.60154i 0.512925 + 0.166660i 0.554032 0.832495i \(-0.313088\pi\)
−0.0411068 + 0.999155i \(0.513088\pi\)
\(468\) 2.70120 + 4.31574i 0.124863 + 0.199495i
\(469\) 1.98671 6.11447i 0.0917379 0.282340i
\(470\) −23.8475 19.7049i −1.10000 0.908919i
\(471\) −8.18210 + 19.7737i −0.377011 + 0.911126i
\(472\) 1.48731 + 11.2961i 0.0684589 + 0.519947i
\(473\) 7.42423 + 5.39402i 0.341366 + 0.248017i
\(474\) −13.3418 + 3.83102i −0.612808 + 0.175965i
\(475\) −0.930857 + 0.0956449i −0.0427106 + 0.00438849i
\(476\) 1.54668 + 3.64367i 0.0708920 + 0.167007i
\(477\) 17.1868 33.7920i 0.786931 1.54723i
\(478\) −0.946369 0.262447i −0.0432859 0.0120041i
\(479\) −0.987209 3.03832i −0.0451067 0.138824i 0.925967 0.377605i \(-0.123252\pi\)
−0.971074 + 0.238781i \(0.923252\pi\)
\(480\) −21.8961 + 0.747546i −0.999418 + 0.0341207i
\(481\) −2.26848 + 6.98166i −0.103434 + 0.318336i
\(482\) 5.76310 8.70717i 0.262502 0.396601i
\(483\) 22.7035 13.9241i 1.03304 0.633569i
\(484\) 0.611491 + 0.367414i 0.0277950 + 0.0167006i
\(485\) 16.9776 + 29.4854i 0.770914 + 1.33886i
\(486\) 0.729087 22.0333i 0.0330721 0.999453i
\(487\) −19.7614 + 14.3575i −0.895474 + 0.650600i −0.937300 0.348525i \(-0.886683\pi\)
0.0418254 + 0.999125i \(0.486683\pi\)
\(488\) 28.9947 13.8302i 1.31253 0.626064i
\(489\) −19.6990 + 4.73691i −0.890818 + 0.214210i
\(490\) 3.00855 + 4.73459i 0.135912 + 0.213887i
\(491\) −29.3515 + 21.3251i −1.32461 + 0.962387i −0.324750 + 0.945800i \(0.605280\pi\)
−0.999862 + 0.0165877i \(0.994720\pi\)
\(492\) 25.1608 + 17.9328i 1.13434 + 0.808475i
\(493\) 2.94287i 0.132540i
\(494\) −0.139812 0.175766i −0.00629044 0.00790809i
\(495\) 21.1085 8.09224i 0.948754 0.363719i
\(496\) −11.4292 + 23.4344i −0.513187 + 1.05223i
\(497\) −9.25905 28.4964i −0.415325 1.27824i
\(498\) 26.7970 + 9.74210i 1.20080 + 0.436554i
\(499\) 22.8784i 1.02418i 0.858933 + 0.512088i \(0.171128\pi\)
−0.858933 + 0.512088i \(0.828872\pi\)
\(500\) −21.7699 5.10599i −0.973580 0.228347i
\(501\) 15.2633 + 13.0264i 0.681912 + 0.581978i
\(502\) 4.51455 1.68794i 0.201494 0.0753366i
\(503\) 0.859969 0.279421i 0.0383441 0.0124588i −0.289782 0.957093i \(-0.593583\pi\)
0.328126 + 0.944634i \(0.393583\pi\)
\(504\) −18.5950 + 5.52310i −0.828287 + 0.246018i
\(505\) 28.7701 6.08026i 1.28025 0.270568i
\(506\) 25.0876 19.9557i 1.11528 0.887140i
\(507\) 13.8075 16.1785i 0.613214 0.718512i
\(508\) −35.9090 + 3.14193i −1.59321 + 0.139401i
\(509\) −18.7143 25.7581i −0.829498 1.14171i −0.988016 0.154350i \(-0.950672\pi\)
0.158518 0.987356i \(-0.449328\pi\)
\(510\) 4.69527 + 0.663689i 0.207910 + 0.0293886i
\(511\) 6.62800 9.12265i 0.293205 0.403562i
\(512\) 22.5576 1.77617i 0.996914 0.0784963i
\(513\) 0.0773601 + 0.969386i 0.00341553 + 0.0427994i
\(514\) −18.9351 + 7.07963i −0.835191 + 0.312269i
\(515\) −17.2535 + 9.93451i −0.760278 + 0.437767i
\(516\) −8.94460 + 2.99653i −0.393764 + 0.131915i
\(517\) −31.3534 10.1874i −1.37892 0.448039i
\(518\) −23.3227 15.4368i −1.02474 0.678256i
\(519\) 3.84396 + 6.26764i 0.168731 + 0.275119i
\(520\) −1.78564 5.06101i −0.0783054 0.221940i
\(521\) −36.5052 + 11.8612i −1.59932 + 0.519651i −0.966939 0.255007i \(-0.917922\pi\)
−0.632381 + 0.774658i \(0.717922\pi\)
\(522\) 14.3300 + 1.62204i 0.627207 + 0.0709950i
\(523\) −34.5326 25.0894i −1.51001 1.09708i −0.966174 0.257891i \(-0.916972\pi\)
−0.543833 0.839193i \(-0.683028\pi\)
\(524\) 7.74091 + 18.2360i 0.338163 + 0.796645i
\(525\) −19.7921 + 0.479359i −0.863797 + 0.0209209i
\(526\) 12.9478 + 8.56990i 0.564552 + 0.373665i
\(527\) 3.31699 4.56545i 0.144490 0.198874i
\(528\) −21.4078 + 9.31809i −0.931655 + 0.405518i
\(529\) −6.87341 21.1542i −0.298844 0.919747i
\(530\) −25.4549 + 30.8063i −1.10569 + 1.33814i
\(531\) 11.9374 + 1.88176i 0.518037 + 0.0816616i
\(532\) 0.787655 0.334348i 0.0341492 0.0144958i
\(533\) −2.33883 + 7.19817i −0.101306 + 0.311787i
\(534\) 0.205964 0.263823i 0.00891295 0.0114167i
\(535\) −18.0921 + 3.82358i −0.782191 + 0.165308i
\(536\) 5.47554 + 5.76988i 0.236507 + 0.249221i
\(537\) −0.313376 + 4.00048i −0.0135232 + 0.172634i
\(538\) 2.88534 0.125989i 0.124396 0.00543176i
\(539\) 4.83633 + 3.51380i 0.208316 + 0.151350i
\(540\) −5.81970 + 22.4974i −0.250440 + 0.968132i
\(541\) 5.28126 3.83706i 0.227059 0.164968i −0.468439 0.883496i \(-0.655184\pi\)
0.695499 + 0.718528i \(0.255184\pi\)
\(542\) 3.35409 2.66799i 0.144071 0.114600i
\(543\) 24.2262 28.3862i 1.03965 1.21817i
\(544\) −4.87492 0.469300i −0.209011 0.0201211i
\(545\) 10.6776 + 9.63669i 0.457378 + 0.412791i
\(546\) −2.65856 3.93835i −0.113776 0.168546i
\(547\) −10.9042 33.5598i −0.466232 1.43491i −0.857427 0.514606i \(-0.827938\pi\)
0.391195 0.920308i \(-0.372062\pi\)
\(548\) −6.55966 + 28.4141i −0.280215 + 1.21379i
\(549\) −5.35473 33.6495i −0.228534 1.43613i
\(550\) −23.5757 + 3.46737i −1.00527 + 0.147849i
\(551\) −0.636162 −0.0271014
\(552\) 1.73699 + 32.9061i 0.0739310 + 1.40058i
\(553\) 12.3207 4.00325i 0.523931 0.170236i
\(554\) 8.29531 29.9124i 0.352434 1.27086i
\(555\) −30.2530 + 14.4002i −1.28417 + 0.611256i
\(556\) 3.23164 + 36.9343i 0.137052 + 1.56636i
\(557\) 44.8167 1.89894 0.949472 0.313851i \(-0.101619\pi\)
0.949472 + 0.313851i \(0.101619\pi\)
\(558\) 20.4027 + 18.6681i 0.863717 + 0.790286i
\(559\) −1.35822 1.86943i −0.0574466 0.0790685i
\(560\) 20.3990 1.40290i 0.862015 0.0592833i
\(561\) 4.91333 1.18148i 0.207441 0.0498822i
\(562\) 9.13356 0.398818i 0.385276 0.0168231i
\(563\) 17.0659 + 23.4892i 0.719241 + 0.989951i 0.999549 + 0.0300405i \(0.00956363\pi\)
−0.280307 + 0.959910i \(0.590436\pi\)
\(564\) 27.2334 20.1674i 1.14673 0.849201i
\(565\) 6.49189 + 5.85904i 0.273116 + 0.246491i
\(566\) −0.591725 13.5514i −0.0248721 0.569610i
\(567\) 0.0300278 + 20.5746i 0.00126105 + 0.864050i
\(568\) 36.4509 + 6.75530i 1.52945 + 0.283446i
\(569\) −23.6422 7.68181i −0.991132 0.322038i −0.231816 0.972760i \(-0.574467\pi\)
−0.759317 + 0.650721i \(0.774467\pi\)
\(570\) 0.143470 1.01498i 0.00600931 0.0425129i
\(571\) 23.5466 7.65077i 0.985396 0.320175i 0.228381 0.973572i \(-0.426657\pi\)
0.757015 + 0.653397i \(0.226657\pi\)
\(572\) −3.75221 4.31635i −0.156888 0.180476i
\(573\) −4.94217 + 1.18842i −0.206462 + 0.0496468i
\(574\) −24.0460 15.9156i −1.00366 0.664303i
\(575\) −7.06898 + 32.8801i −0.294797 + 1.37119i
\(576\) 4.97216 23.4793i 0.207173 0.978304i
\(577\) 10.1397 13.9561i 0.422122 0.581001i −0.544000 0.839085i \(-0.683091\pi\)
0.966123 + 0.258084i \(0.0830910\pi\)
\(578\) −22.1458 6.14148i −0.921145 0.255452i
\(579\) −14.2029 + 34.3242i −0.590252 + 1.42647i
\(580\) −14.3677 4.96578i −0.596585 0.206193i
\(581\) −25.3082 8.22312i −1.04996 0.341152i
\(582\) −35.8237 + 10.2866i −1.48494 + 0.426393i
\(583\) −13.1601 + 40.5025i −0.545035 + 1.67744i
\(584\) 6.00642 + 12.5923i 0.248548 + 0.521074i
\(585\) −5.68466 + 0.295440i −0.235032 + 0.0122149i
\(586\) −16.6410 + 6.22191i −0.687435 + 0.257025i
\(587\) −9.92667 13.6629i −0.409718 0.563928i 0.553432 0.832894i \(-0.313318\pi\)
−0.963150 + 0.268967i \(0.913318\pi\)
\(588\) −5.82674 + 1.95202i −0.240291 + 0.0804998i
\(589\) −0.986917 0.717037i −0.0406652 0.0295450i
\(590\) −11.8467 4.68242i −0.487719 0.192772i
\(591\) −1.21597 + 15.5227i −0.0500182 + 0.638520i
\(592\) 30.5534 16.2462i 1.25574 0.667714i
\(593\) −15.9897 −0.656617 −0.328309 0.944570i \(-0.606479\pi\)
−0.328309 + 0.944570i \(0.606479\pi\)
\(594\) 3.04499 + 24.5762i 0.124937 + 1.00837i
\(595\) −4.40079 0.467725i −0.180415 0.0191749i
\(596\) 18.6091 + 21.4069i 0.762258 + 0.876862i
\(597\) 12.8423 31.0362i 0.525602 1.27023i
\(598\) −7.56068 + 2.82686i −0.309179 + 0.115599i
\(599\) −5.55768 −0.227081 −0.113540 0.993533i \(-0.536219\pi\)
−0.113540 + 0.993533i \(0.536219\pi\)
\(600\) 11.1630 21.8034i 0.455729 0.890118i
\(601\) 5.78248 0.235872 0.117936 0.993021i \(-0.462372\pi\)
0.117936 + 0.993021i \(0.462372\pi\)
\(602\) 8.24628 3.08320i 0.336093 0.125662i
\(603\) 7.51458 3.83578i 0.306018 0.156205i
\(604\) −5.25236 6.04204i −0.213715 0.245847i
\(605\) −0.691194 + 0.397988i −0.0281010 + 0.0161805i
\(606\) −1.11231 + 32.1930i −0.0451846 + 1.30775i
\(607\) 11.0484 0.448440 0.224220 0.974539i \(-0.428017\pi\)
0.224220 + 0.974539i \(0.428017\pi\)
\(608\) −0.101449 + 1.05382i −0.00411430 + 0.0427379i
\(609\) −13.4182 1.05111i −0.543734 0.0425931i
\(610\) −2.23423 + 35.8464i −0.0904613 + 1.45138i
\(611\) 6.71575 + 4.87928i 0.271690 + 0.197394i
\(612\) −1.94235 + 4.81773i −0.0785150 + 0.194745i
\(613\) 5.84025 + 8.03842i 0.235886 + 0.324669i 0.910506 0.413496i \(-0.135693\pi\)
−0.674620 + 0.738165i \(0.735693\pi\)
\(614\) −9.93455 + 3.71442i −0.400926 + 0.149902i
\(615\) −31.1911 + 14.8468i −1.25775 + 0.598680i
\(616\) 19.6673 9.38112i 0.792418 0.377976i
\(617\) 11.7447 36.1464i 0.472823 1.45520i −0.376048 0.926600i \(-0.622717\pi\)
0.848871 0.528600i \(-0.177283\pi\)
\(618\) −6.01923 20.9624i −0.242129 0.843230i
\(619\) 2.22515 + 0.722994i 0.0894362 + 0.0290596i 0.353393 0.935475i \(-0.385028\pi\)
−0.263957 + 0.964534i \(0.585028\pi\)
\(620\) −16.6924 23.8979i −0.670381 0.959764i
\(621\) 33.9940 + 8.12189i 1.36413 + 0.325920i
\(622\) −24.3550 6.75413i −0.976547 0.270816i
\(623\) −0.183606 + 0.252712i −0.00735602 + 0.0101247i
\(624\) 5.85173 0.565711i 0.234257 0.0226466i
\(625\) 16.8147 18.5005i 0.672586 0.740019i
\(626\) 3.56587 + 2.36017i 0.142521 + 0.0943315i
\(627\) −0.255402 1.06212i −0.0101998 0.0424170i
\(628\) 16.2115 + 18.6489i 0.646911 + 0.744174i
\(629\) −7.12313 + 2.31445i −0.284018 + 0.0922830i
\(630\) 4.70316 21.1714i 0.187378 0.843489i
\(631\) −1.58098 0.513690i −0.0629377 0.0204497i 0.277379 0.960761i \(-0.410534\pi\)
−0.340317 + 0.940311i \(0.610534\pi\)
\(632\) −2.92073 + 15.7599i −0.116180 + 0.626896i
\(633\) 22.7121 13.9294i 0.902723 0.553643i
\(634\) −1.65079 37.8056i −0.0655611 1.50145i
\(635\) 16.4347 36.7976i 0.652193 1.46027i
\(636\) −26.0524 35.1803i −1.03304 1.39499i
\(637\) −0.884780 1.21779i −0.0350562 0.0482508i
\(638\) −16.1846 + 0.706702i −0.640754 + 0.0279786i
\(639\) 17.8255 35.0477i 0.705165 1.38647i
\(640\) −10.5171 + 23.0085i −0.415727 + 0.909490i
\(641\) 20.0303 + 27.5693i 0.791149 + 1.08892i 0.993964 + 0.109706i \(0.0349909\pi\)
−0.202815 + 0.979217i \(0.565009\pi\)
\(642\) 0.699478 20.2446i 0.0276062 0.798991i
\(643\) 2.81696 0.111090 0.0555450 0.998456i \(-0.482310\pi\)
0.0555450 + 0.998456i \(0.482310\pi\)
\(644\) −2.68059 30.6363i −0.105630 1.20724i
\(645\) 1.93027 10.3685i 0.0760041 0.408258i
\(646\) 0.0612346 0.220808i 0.00240924 0.00868759i
\(647\) −3.15738 + 1.02590i −0.124130 + 0.0403321i −0.370423 0.928863i \(-0.620787\pi\)
0.246293 + 0.969195i \(0.420787\pi\)
\(648\) −22.3889 12.1135i −0.879518 0.475865i
\(649\) −13.5751 −0.532869
\(650\) 5.91564 + 1.00409i 0.232030 + 0.0393835i
\(651\) −19.6318 16.7547i −0.769430 0.656670i
\(652\) −5.26250 + 22.7952i −0.206095 + 0.892731i
\(653\) 3.06640 + 9.43740i 0.119997 + 0.369314i 0.992957 0.118479i \(-0.0378019\pi\)
−0.872959 + 0.487793i \(0.837802\pi\)
\(654\) −13.0591 + 8.81547i −0.510650 + 0.344712i
\(655\) −22.0253 2.34090i −0.860599 0.0914664i
\(656\) 31.5009 16.7500i 1.22990 0.653977i
\(657\) 14.6139 2.32555i 0.570142 0.0907282i
\(658\) −24.7514 + 19.6883i −0.964909 + 0.767530i
\(659\) 21.9911 15.9775i 0.856651 0.622393i −0.0703207 0.997524i \(-0.522402\pi\)
0.926972 + 0.375131i \(0.122402\pi\)
\(660\) 2.52250 25.9815i 0.0981881 1.01133i
\(661\) −22.8499 16.6015i −0.888760 0.645722i 0.0467945 0.998905i \(-0.485099\pi\)
−0.935554 + 0.353183i \(0.885099\pi\)
\(662\) −7.93831 + 0.346627i −0.308531 + 0.0134720i
\(663\) −1.26856 0.0993724i −0.0492669 0.00385930i
\(664\) 23.8818 22.6636i 0.926795 0.879518i
\(665\) −0.101109 + 0.951322i −0.00392082 + 0.0368907i
\(666\) −7.34385 35.9611i −0.284568 1.39346i
\(667\) −7.06531 + 21.7448i −0.273570 + 0.841962i
\(668\) 21.3285 9.05363i 0.825225 0.350295i
\(669\) 1.14426 + 1.86574i 0.0442398 + 0.0721337i
\(670\) −8.61264 + 2.21672i −0.332735 + 0.0856392i
\(671\) 11.8276 + 36.4016i 0.456599 + 1.40527i
\(672\) −3.88100 + 22.0600i −0.149713 + 0.850982i
\(673\) 24.6608 33.9427i 0.950604 1.30839i −0.000654775 1.00000i \(-0.500208\pi\)
0.951259 0.308394i \(-0.0997916\pi\)
\(674\) 34.3496 + 22.7353i 1.32310 + 0.875731i
\(675\) −18.8237 17.9072i −0.724524 0.689250i
\(676\) −9.59650 22.6074i −0.369096 0.869516i
\(677\) −25.9856 18.8796i −0.998706 0.725602i −0.0368956 0.999319i \(-0.511747\pi\)
−0.961810 + 0.273717i \(0.911747\pi\)
\(678\) −7.93982 + 5.35974i −0.304927 + 0.205840i
\(679\) 33.0822 10.7490i 1.26958 0.412510i
\(680\) 3.10657 4.50895i 0.119132 0.172910i
\(681\) −9.66087 + 5.92504i −0.370205 + 0.227048i
\(682\) −25.9047 17.1458i −0.991942 0.656546i
\(683\) 24.8738 + 8.08199i 0.951769 + 0.309249i 0.743434 0.668809i \(-0.233196\pi\)
0.208335 + 0.978058i \(0.433196\pi\)
\(684\) 1.04145 + 0.419881i 0.0398210 + 0.0160545i
\(685\) −24.2037 21.8442i −0.924775 0.834624i
\(686\) 26.5695 9.93406i 1.01443 0.379284i
\(687\) −1.59245 + 20.3288i −0.0607556 + 0.775591i
\(688\) −1.51576 + 10.7865i −0.0577880 + 0.411232i
\(689\) 6.30308 8.67544i 0.240128 0.330508i
\(690\) −33.0999 16.1765i −1.26009 0.615830i
\(691\) 0.161287 + 0.221992i 0.00613565 + 0.00844499i 0.812074 0.583555i \(-0.198339\pi\)
−0.805938 + 0.592000i \(0.798339\pi\)
\(692\) 8.45763 0.740017i 0.321511 0.0281312i
\(693\) −3.63215 22.8247i −0.137974 0.867039i
\(694\) 36.9752 29.4117i 1.40356 1.11645i
\(695\) −37.8482 16.9040i −1.43566 0.641204i
\(696\) 9.06434 13.9694i 0.343583 0.529509i
\(697\) −7.34403 + 2.38622i −0.278175 + 0.0903845i
\(698\) −25.5128 + 9.53897i −0.965674 + 0.361055i
\(699\) −5.15938 + 6.04532i −0.195146 + 0.228655i
\(700\) −9.70940 + 20.6963i −0.366981 + 0.782246i
\(701\) 22.8666i 0.863658i −0.901956 0.431829i \(-0.857868\pi\)
0.901956 0.431829i \(-0.142132\pi\)
\(702\) 1.18309 6.12237i 0.0446528 0.231074i
\(703\) 0.500316 + 1.53981i 0.0188698 + 0.0580752i
\(704\) −1.41029 + 26.9228i −0.0531524 + 1.01469i
\(705\) 4.91529 + 37.5675i 0.185120 + 1.41488i
\(706\) −3.68225 4.62918i −0.138583 0.174222i
\(707\) 30.0631i 1.13064i
\(708\) 8.09906 11.3634i 0.304381 0.427064i
\(709\) −19.2091 + 13.9562i −0.721414 + 0.524138i −0.886836 0.462085i \(-0.847101\pi\)
0.165422 + 0.986223i \(0.447101\pi\)
\(710\) −26.4008 + 31.9511i −0.990805 + 1.19910i
\(711\) 15.1532 + 7.70704i 0.568291 + 0.289037i
\(712\) −0.166387 0.348827i −0.00623563 0.0130729i
\(713\) −35.4701 + 25.7705i −1.32836 + 0.965113i
\(714\) 1.65642 4.55621i 0.0619901 0.170512i
\(715\) 6.25614 1.32217i 0.233966 0.0494463i
\(716\) 3.97172 + 2.38640i 0.148430 + 0.0891841i
\(717\) 0.628838 + 1.02533i 0.0234844 + 0.0382917i
\(718\) 18.6807 28.2237i 0.697157 1.05330i
\(719\) 11.4382 35.2032i 0.426574 1.31286i −0.474905 0.880037i \(-0.657518\pi\)
0.901479 0.432823i \(-0.142482\pi\)
\(720\) 20.2436 + 17.6124i 0.754435 + 0.656375i
\(721\) 6.28984 + 19.3581i 0.234246 + 0.720935i
\(722\) 25.8451 + 7.16737i 0.961855 + 0.266742i
\(723\) −12.4339 + 2.98992i −0.462423 + 0.111196i
\(724\) −16.8377 39.6662i −0.625768 1.47418i
\(725\) 12.6569 11.3430i 0.470065 0.421269i
\(726\) −0.241137 0.839776i −0.00894945 0.0311670i
\(727\) 20.8586 + 15.1546i 0.773601 + 0.562054i 0.903052 0.429532i \(-0.141321\pi\)
−0.129451 + 0.991586i \(0.541321\pi\)
\(728\) −5.43983 + 0.716236i −0.201613 + 0.0265455i
\(729\) −19.0500 + 19.1336i −0.705557 + 0.708653i
\(730\) −15.5680 0.970320i −0.576198 0.0359132i
\(731\) 0.728528 2.24218i 0.0269456 0.0829300i
\(732\) −37.5274 11.8170i −1.38705 0.436768i
\(733\) −21.0828 6.85020i −0.778710 0.253018i −0.107420 0.994214i \(-0.534259\pi\)
−0.671289 + 0.741196i \(0.734259\pi\)
\(734\) 0.0347554 + 0.795954i 0.00128285 + 0.0293792i
\(735\) 1.25742 6.75429i 0.0463808 0.249136i
\(736\) 34.8941 + 15.1715i 1.28621 + 0.559229i
\(737\) −7.66740 + 5.57069i −0.282432 + 0.205199i
\(738\) −7.57159 37.0763i −0.278714 1.36480i
\(739\) 13.7389 18.9100i 0.505394 0.695615i −0.477740 0.878501i \(-0.658544\pi\)
0.983134 + 0.182886i \(0.0585441\pi\)
\(740\) −0.719950 + 38.6819i −0.0264659 + 1.42198i
\(741\) −0.0214814 + 0.274227i −0.000789140 + 0.0100740i
\(742\) 25.4334 + 31.9740i 0.933691 + 1.17380i
\(743\) 7.47309i 0.274161i 0.990560 + 0.137081i \(0.0437719\pi\)
−0.990560 + 0.137081i \(0.956228\pi\)
\(744\) 29.8074 11.4549i 1.09279 0.419957i
\(745\) −31.0273 + 6.55730i −1.13675 + 0.240241i
\(746\) −0.806917 + 2.90969i −0.0295433 + 0.106531i
\(747\) −15.8765 31.1033i −0.580891 1.13801i
\(748\) 1.31258 5.68561i 0.0479925 0.207886i
\(749\) 18.9052i 0.690781i
\(750\) 15.2431 + 22.7519i 0.556599 + 0.830781i
\(751\) 0.966789i 0.0352786i −0.999844 0.0176393i \(-0.994385\pi\)
0.999844 0.0176393i \(-0.00561506\pi\)
\(752\) −6.79554 38.5357i −0.247808 1.40525i
\(753\) −5.45449 2.25699i −0.198773 0.0822494i
\(754\) 3.93083 + 1.09010i 0.143152 + 0.0396990i
\(755\) 8.75737 1.85078i 0.318713 0.0673567i
\(756\) 21.2731 + 10.5771i 0.773693 + 0.384685i
\(757\) 44.9790i 1.63479i 0.576078 + 0.817395i \(0.304582\pi\)
−0.576078 + 0.817395i \(0.695418\pi\)
\(758\) 15.6032 12.4114i 0.566732 0.450803i
\(759\) −39.1411 3.06610i −1.42073 0.111292i
\(760\) −0.974704 0.671551i −0.0353562 0.0243597i
\(761\) −6.51206 + 8.96308i −0.236062 + 0.324911i −0.910569 0.413357i \(-0.864356\pi\)
0.674507 + 0.738268i \(0.264356\pi\)
\(762\) 34.7987 + 27.1670i 1.26062 + 0.984158i
\(763\) 11.8964 8.64326i 0.430680 0.312907i
\(764\) −1.32028 + 5.71897i −0.0477660 + 0.206905i
\(765\) −3.65292 4.51500i −0.132072 0.163240i
\(766\) −20.3189 + 0.887227i −0.734152 + 0.0320568i
\(767\) 3.25093 + 1.05629i 0.117384 + 0.0381404i
\(768\) −21.6951 17.2430i −0.782856 0.622203i
\(769\) 0.391531 1.20501i 0.0141190 0.0434537i −0.943749 0.330663i \(-0.892728\pi\)
0.957868 + 0.287209i \(0.0927276\pi\)
\(770\) −1.51549 + 24.3149i −0.0546146 + 0.876248i
\(771\) 22.8774 + 9.46636i 0.823910 + 0.340923i
\(772\) 28.1408 + 32.3717i 1.01281 + 1.16508i
\(773\) −4.22661 3.07081i −0.152021 0.110449i 0.509175 0.860663i \(-0.329951\pi\)
−0.661195 + 0.750214i \(0.729951\pi\)
\(774\) 10.5165