Properties

Label 74.2.h.a.65.2
Level $74$
Weight $2$
Character 74.65
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.h (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\Q(\zeta_{36})\)
Defining polynomial: \( x^{12} - x^{6} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 65.2
Root \(0.984808 - 0.173648i\) of defining polynomial
Character \(\chi\) \(=\) 74.65
Dual form 74.2.h.a.41.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(-0.266044 + 1.50881i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.247315 + 0.294739i) q^{5} +1.53209i q^{6} +(-2.50048 - 2.09815i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.613341 + 0.223238i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(-0.266044 + 1.50881i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.247315 + 0.294739i) q^{5} +1.53209i q^{6} +(-2.50048 - 2.09815i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.613341 + 0.223238i) q^{9} +(-0.192377 + 0.333207i) q^{10} +(-1.29236 - 2.23843i) q^{11} +(0.266044 + 1.50881i) q^{12} +(-0.466831 - 1.28261i) q^{13} +(-2.82683 - 1.63207i) q^{14} +(-0.378909 - 0.451566i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-1.13965 + 3.13118i) q^{17} +(0.642788 + 0.113341i) q^{18} +(-5.89485 - 1.03942i) q^{19} +(-0.131594 + 0.361551i) q^{20} +(3.83095 - 3.21455i) q^{21} +(-1.66142 - 1.98001i) q^{22} +(6.53507 + 3.77303i) q^{23} +(0.524005 + 1.43969i) q^{24} +(0.842535 + 4.77825i) q^{25} +(-0.682461 - 1.18206i) q^{26} +(-2.79813 + 4.84651i) q^{27} +(-3.06729 - 1.11640i) q^{28} +(2.78251 - 1.60649i) q^{29} +(-0.451566 - 0.378909i) q^{30} -2.53737i q^{31} +(0.642788 - 0.766044i) q^{32} +(3.72120 - 1.35440i) q^{33} +(-0.578618 + 3.28150i) q^{34} +(1.23681 - 0.218083i) q^{35} +0.652704 q^{36} +(0.543196 - 6.05846i) q^{37} -5.98578 q^{38} +(2.05941 - 0.363130i) q^{39} +(-0.0668119 + 0.378909i) q^{40} +(7.77046 - 2.82822i) q^{41} +(3.21455 - 3.83095i) q^{42} +4.33920i q^{43} +(-1.98001 - 1.66142i) q^{44} +(-0.217486 + 0.125565i) q^{45} +(7.09097 + 2.58090i) q^{46} +(-2.61455 + 4.52853i) q^{47} +(0.766044 + 1.32683i) q^{48} +(0.634616 + 3.59909i) q^{49} +(1.65947 + 4.55935i) q^{50} +(-4.42116 - 2.55256i) q^{51} +(-0.877355 - 1.04559i) q^{52} +(-6.64254 + 5.57375i) q^{53} +(-1.91404 + 5.25877i) q^{54} +(0.979373 + 0.172690i) q^{55} +(-3.21455 - 0.566812i) q^{56} +(3.13658 - 8.61769i) q^{57} +(2.46128 - 2.06526i) q^{58} +(8.33530 + 9.93362i) q^{59} +(-0.510503 - 0.294739i) q^{60} +(-2.39847 - 6.58973i) q^{61} +(-0.440610 - 2.49882i) q^{62} +(-1.06526 - 1.84508i) q^{63} +(0.500000 - 0.866025i) q^{64} +(0.493489 + 0.179615i) q^{65} +(3.42947 - 1.98001i) q^{66} +(-8.60881 - 7.22365i) q^{67} +3.33213i q^{68} +(-7.43141 + 8.85641i) q^{69} +(1.18015 - 0.429540i) q^{70} +(2.60464 - 14.7717i) q^{71} +(0.642788 - 0.113341i) q^{72} -15.0792 q^{73} +(-0.517097 - 6.06074i) q^{74} -7.43364 q^{75} +(-5.89485 + 1.03942i) q^{76} +(-1.46505 + 8.30870i) q^{77} +(1.96507 - 0.715227i) q^{78} +(0.940587 - 1.12095i) q^{79} +0.384754i q^{80} +(-5.06805 - 4.25260i) q^{81} +(7.16130 - 4.13458i) q^{82} +(0.0104473 + 0.00380252i) q^{83} +(2.50048 - 4.33095i) q^{84} +(-0.641025 - 1.11029i) q^{85} +(0.753494 + 4.27328i) q^{86} +(1.68361 + 4.62569i) q^{87} +(-2.23843 - 1.29236i) q^{88} +(-0.612745 - 0.730241i) q^{89} +(-0.192377 + 0.161424i) q^{90} +(-1.52380 + 4.18661i) q^{91} +(7.43141 + 1.31036i) q^{92} +(3.82842 + 0.675054i) q^{93} +(-1.78845 + 4.91374i) q^{94} +(1.76424 - 1.48038i) q^{95} +(0.984808 + 1.17365i) q^{96} +(12.8332 + 7.40927i) q^{97} +(1.24995 + 3.43421i) q^{98} +(-0.292954 - 1.66142i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) −0.266044 + 1.50881i −0.153601 + 0.871114i 0.806453 + 0.591298i \(0.201384\pi\)
−0.960054 + 0.279815i \(0.909727\pi\)
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −0.247315 + 0.294739i −0.110603 + 0.131811i −0.818506 0.574499i \(-0.805197\pi\)
0.707903 + 0.706310i \(0.249641\pi\)
\(6\) 1.53209i 0.625473i
\(7\) −2.50048 2.09815i −0.945091 0.793026i 0.0333729 0.999443i \(-0.489375\pi\)
−0.978464 + 0.206417i \(0.933820\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 0.613341 + 0.223238i 0.204447 + 0.0744126i
\(10\) −0.192377 + 0.333207i −0.0608350 + 0.105369i
\(11\) −1.29236 2.23843i −0.389661 0.674912i 0.602743 0.797935i \(-0.294074\pi\)
−0.992404 + 0.123023i \(0.960741\pi\)
\(12\) 0.266044 + 1.50881i 0.0768004 + 0.435557i
\(13\) −0.466831 1.28261i −0.129476 0.355731i 0.857968 0.513703i \(-0.171727\pi\)
−0.987444 + 0.157972i \(0.949504\pi\)
\(14\) −2.82683 1.63207i −0.755502 0.436189i
\(15\) −0.378909 0.451566i −0.0978339 0.116594i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −1.13965 + 3.13118i −0.276407 + 0.759422i 0.721356 + 0.692565i \(0.243519\pi\)
−0.997763 + 0.0668568i \(0.978703\pi\)
\(18\) 0.642788 + 0.113341i 0.151506 + 0.0267147i
\(19\) −5.89485 1.03942i −1.35237 0.238459i −0.549939 0.835205i \(-0.685349\pi\)
−0.802431 + 0.596745i \(0.796460\pi\)
\(20\) −0.131594 + 0.361551i −0.0294253 + 0.0808452i
\(21\) 3.83095 3.21455i 0.835982 0.701472i
\(22\) −1.66142 1.98001i −0.354217 0.422139i
\(23\) 6.53507 + 3.77303i 1.36266 + 0.786730i 0.989977 0.141230i \(-0.0451057\pi\)
0.372680 + 0.927960i \(0.378439\pi\)
\(24\) 0.524005 + 1.43969i 0.106962 + 0.293876i
\(25\) 0.842535 + 4.77825i 0.168507 + 0.955650i
\(26\) −0.682461 1.18206i −0.133842 0.231821i
\(27\) −2.79813 + 4.84651i −0.538501 + 0.932711i
\(28\) −3.06729 1.11640i −0.579663 0.210980i
\(29\) 2.78251 1.60649i 0.516700 0.298317i −0.218883 0.975751i \(-0.570241\pi\)
0.735583 + 0.677434i \(0.236908\pi\)
\(30\) −0.451566 0.378909i −0.0824444 0.0691790i
\(31\) 2.53737i 0.455726i −0.973693 0.227863i \(-0.926826\pi\)
0.973693 0.227863i \(-0.0731738\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) 3.72120 1.35440i 0.647777 0.235772i
\(34\) −0.578618 + 3.28150i −0.0992321 + 0.562773i
\(35\) 1.23681 0.218083i 0.209059 0.0368628i
\(36\) 0.652704 0.108784
\(37\) 0.543196 6.05846i 0.0893009 0.996005i
\(38\) −5.98578 −0.971022
\(39\) 2.05941 0.363130i 0.329770 0.0581473i
\(40\) −0.0668119 + 0.378909i −0.0105639 + 0.0599108i
\(41\) 7.77046 2.82822i 1.21354 0.441693i 0.345611 0.938378i \(-0.387672\pi\)
0.867931 + 0.496685i \(0.165449\pi\)
\(42\) 3.21455 3.83095i 0.496016 0.591129i
\(43\) 4.33920i 0.661722i 0.943680 + 0.330861i \(0.107339\pi\)
−0.943680 + 0.330861i \(0.892661\pi\)
\(44\) −1.98001 1.66142i −0.298497 0.250469i
\(45\) −0.217486 + 0.125565i −0.0324208 + 0.0187182i
\(46\) 7.09097 + 2.58090i 1.04551 + 0.380533i
\(47\) −2.61455 + 4.52853i −0.381371 + 0.660554i −0.991258 0.131934i \(-0.957881\pi\)
0.609888 + 0.792488i \(0.291215\pi\)
\(48\) 0.766044 + 1.32683i 0.110569 + 0.191511i
\(49\) 0.634616 + 3.59909i 0.0906594 + 0.514155i
\(50\) 1.65947 + 4.55935i 0.234684 + 0.644790i
\(51\) −4.42116 2.55256i −0.619086 0.357430i
\(52\) −0.877355 1.04559i −0.121667 0.144997i
\(53\) −6.64254 + 5.57375i −0.912423 + 0.765614i −0.972578 0.232575i \(-0.925285\pi\)
0.0601551 + 0.998189i \(0.480840\pi\)
\(54\) −1.91404 + 5.25877i −0.260467 + 0.715628i
\(55\) 0.979373 + 0.172690i 0.132059 + 0.0232855i
\(56\) −3.21455 0.566812i −0.429562 0.0757434i
\(57\) 3.13658 8.61769i 0.415450 1.14144i
\(58\) 2.46128 2.06526i 0.323182 0.271182i
\(59\) 8.33530 + 9.93362i 1.08516 + 1.29325i 0.953315 + 0.301978i \(0.0976469\pi\)
0.131849 + 0.991270i \(0.457909\pi\)
\(60\) −0.510503 0.294739i −0.0659056 0.0380506i
\(61\) −2.39847 6.58973i −0.307092 0.843728i −0.993220 0.116248i \(-0.962913\pi\)
0.686128 0.727481i \(-0.259309\pi\)
\(62\) −0.440610 2.49882i −0.0559576 0.317351i
\(63\) −1.06526 1.84508i −0.134210 0.232458i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 0.493489 + 0.179615i 0.0612098 + 0.0222785i
\(66\) 3.42947 1.98001i 0.422139 0.243722i
\(67\) −8.60881 7.22365i −1.05173 0.882509i −0.0584586 0.998290i \(-0.518619\pi\)
−0.993275 + 0.115781i \(0.963063\pi\)
\(68\) 3.33213i 0.404080i
\(69\) −7.43141 + 8.85641i −0.894636 + 1.06619i
\(70\) 1.18015 0.429540i 0.141055 0.0513399i
\(71\) 2.60464 14.7717i 0.309114 1.75307i −0.294363 0.955694i \(-0.595107\pi\)
0.603477 0.797380i \(-0.293781\pi\)
\(72\) 0.642788 0.113341i 0.0757532 0.0133573i
\(73\) −15.0792 −1.76489 −0.882445 0.470416i \(-0.844104\pi\)
−0.882445 + 0.470416i \(0.844104\pi\)
\(74\) −0.517097 6.06074i −0.0601113 0.704547i
\(75\) −7.43364 −0.858363
\(76\) −5.89485 + 1.03942i −0.676185 + 0.119230i
\(77\) −1.46505 + 8.30870i −0.166958 + 0.946864i
\(78\) 1.96507 0.715227i 0.222500 0.0809835i
\(79\) 0.940587 1.12095i 0.105824 0.126117i −0.710532 0.703664i \(-0.751546\pi\)
0.816357 + 0.577548i \(0.195990\pi\)
\(80\) 0.384754i 0.0430169i
\(81\) −5.06805 4.25260i −0.563116 0.472511i
\(82\) 7.16130 4.13458i 0.790833 0.456588i
\(83\) 0.0104473 + 0.00380252i 0.00114674 + 0.000417381i 0.342593 0.939484i \(-0.388695\pi\)
−0.341447 + 0.939901i \(0.610917\pi\)
\(84\) 2.50048 4.33095i 0.272824 0.472546i
\(85\) −0.641025 1.11029i −0.0695290 0.120428i
\(86\) 0.753494 + 4.27328i 0.0812514 + 0.460799i
\(87\) 1.68361 + 4.62569i 0.180502 + 0.495926i
\(88\) −2.23843 1.29236i −0.238617 0.137766i
\(89\) −0.612745 0.730241i −0.0649509 0.0774054i 0.732591 0.680669i \(-0.238311\pi\)
−0.797542 + 0.603264i \(0.793867\pi\)
\(90\) −0.192377 + 0.161424i −0.0202783 + 0.0170155i
\(91\) −1.52380 + 4.18661i −0.159738 + 0.438876i
\(92\) 7.43141 + 1.31036i 0.774778 + 0.136614i
\(93\) 3.82842 + 0.675054i 0.396989 + 0.0699998i
\(94\) −1.78845 + 4.91374i −0.184465 + 0.506814i
\(95\) 1.76424 1.48038i 0.181008 0.151883i
\(96\) 0.984808 + 1.17365i 0.100512 + 0.119785i
\(97\) 12.8332 + 7.40927i 1.30302 + 0.752297i 0.980920 0.194410i \(-0.0622791\pi\)
0.322097 + 0.946707i \(0.395612\pi\)
\(98\) 1.24995 + 3.43421i 0.126264 + 0.346907i
\(99\) −0.292954 1.66142i −0.0294430 0.166979i
\(100\) 2.42598 + 4.20192i 0.242598 + 0.420192i
\(101\) −0.636260 + 1.10204i −0.0633103 + 0.109657i −0.895943 0.444169i \(-0.853499\pi\)
0.832633 + 0.553825i \(0.186832\pi\)
\(102\) −4.79724 1.74605i −0.474997 0.172885i
\(103\) 9.39301 5.42306i 0.925521 0.534350i 0.0401287 0.999195i \(-0.487223\pi\)
0.885392 + 0.464845i \(0.153890\pi\)
\(104\) −1.04559 0.877355i −0.102529 0.0860318i
\(105\) 1.92414i 0.187777i
\(106\) −5.57375 + 6.64254i −0.541371 + 0.645181i
\(107\) 4.47254 1.62787i 0.432377 0.157372i −0.116657 0.993172i \(-0.537218\pi\)
0.549034 + 0.835800i \(0.314996\pi\)
\(108\) −0.971782 + 5.51125i −0.0935097 + 0.530320i
\(109\) 9.49102 1.67352i 0.909075 0.160294i 0.300492 0.953784i \(-0.402849\pi\)
0.608583 + 0.793490i \(0.291738\pi\)
\(110\) 0.994481 0.0948201
\(111\) 8.99657 + 2.43140i 0.853917 + 0.230778i
\(112\) −3.26414 −0.308432
\(113\) −12.7581 + 2.24960i −1.20018 + 0.211624i −0.737777 0.675044i \(-0.764124\pi\)
−0.462405 + 0.886669i \(0.653013\pi\)
\(114\) 1.59248 9.03143i 0.149150 0.845871i
\(115\) −2.72828 + 0.993013i −0.254414 + 0.0925990i
\(116\) 2.06526 2.46128i 0.191754 0.228524i
\(117\) 0.890890i 0.0823628i
\(118\) 9.93362 + 8.33530i 0.914464 + 0.767327i
\(119\) 9.41935 5.43826i 0.863470 0.498525i
\(120\) −0.553928 0.201613i −0.0505665 0.0184047i
\(121\) 2.15962 3.74057i 0.196329 0.340052i
\(122\) −3.50632 6.07313i −0.317447 0.549835i
\(123\) 2.19996 + 12.4766i 0.198364 + 1.12498i
\(124\) −0.867833 2.38435i −0.0779337 0.214121i
\(125\) −3.28274 1.89529i −0.293618 0.169520i
\(126\) −1.36947 1.63207i −0.122002 0.145396i
\(127\) 8.61094 7.22543i 0.764097 0.641154i −0.175093 0.984552i \(-0.556023\pi\)
0.939190 + 0.343398i \(0.111578\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) −6.54704 1.15442i −0.576435 0.101641i
\(130\) 0.517182 + 0.0911931i 0.0453598 + 0.00799816i
\(131\) 2.86257 7.86484i 0.250104 0.687154i −0.749578 0.661916i \(-0.769743\pi\)
0.999681 0.0252378i \(-0.00803431\pi\)
\(132\) 3.03355 2.54545i 0.264036 0.221553i
\(133\) 12.5591 + 14.9673i 1.08901 + 1.29783i
\(134\) −9.73239 5.61900i −0.840751 0.485408i
\(135\) −0.736434 2.02334i −0.0633821 0.174141i
\(136\) 0.578618 + 3.28150i 0.0496161 + 0.281387i
\(137\) 1.99206 + 3.45036i 0.170194 + 0.294784i 0.938487 0.345313i \(-0.112227\pi\)
−0.768294 + 0.640097i \(0.778894\pi\)
\(138\) −5.78061 + 10.0123i −0.492078 + 0.852304i
\(139\) −4.80315 1.74820i −0.407398 0.148281i 0.130189 0.991489i \(-0.458442\pi\)
−0.537586 + 0.843209i \(0.680664\pi\)
\(140\) 1.08763 0.627946i 0.0919219 0.0530711i
\(141\) −6.13711 5.14965i −0.516838 0.433679i
\(142\) 14.9995i 1.25873i
\(143\) −2.26771 + 2.70256i −0.189636 + 0.225999i
\(144\) 0.613341 0.223238i 0.0511117 0.0186031i
\(145\) −0.214665 + 1.21742i −0.0178269 + 0.101102i
\(146\) −14.8501 + 2.61848i −1.22901 + 0.216707i
\(147\) −5.59918 −0.461813
\(148\) −1.56168 5.87887i −0.128369 0.483240i
\(149\) −15.8700 −1.30012 −0.650060 0.759883i \(-0.725256\pi\)
−0.650060 + 0.759883i \(0.725256\pi\)
\(150\) −7.32071 + 1.29084i −0.597733 + 0.105396i
\(151\) −3.77998 + 21.4373i −0.307611 + 1.74455i 0.303344 + 0.952881i \(0.401897\pi\)
−0.610955 + 0.791665i \(0.709214\pi\)
\(152\) −5.62480 + 2.04726i −0.456231 + 0.166055i
\(153\) −1.39799 + 1.66606i −0.113021 + 0.134693i
\(154\) 8.43688i 0.679863i
\(155\) 0.747863 + 0.627531i 0.0600698 + 0.0504045i
\(156\) 1.81102 1.04559i 0.144997 0.0837143i
\(157\) 9.16333 + 3.33518i 0.731314 + 0.266176i 0.680721 0.732543i \(-0.261667\pi\)
0.0505928 + 0.998719i \(0.483889\pi\)
\(158\) 0.731647 1.26725i 0.0582067 0.100817i
\(159\) −6.64254 11.5052i −0.526788 0.912423i
\(160\) 0.0668119 + 0.378909i 0.00528195 + 0.0299554i
\(161\) −8.42442 23.1459i −0.663937 1.82415i
\(162\) −5.72951 3.30793i −0.450153 0.259896i
\(163\) 8.46213 + 10.0848i 0.662805 + 0.789901i 0.987785 0.155820i \(-0.0498021\pi\)
−0.324980 + 0.945721i \(0.605358\pi\)
\(164\) 6.33454 5.31531i 0.494644 0.415056i
\(165\) −0.521113 + 1.43175i −0.0405686 + 0.111461i
\(166\) 0.0109489 + 0.00193059i 0.000849801 + 0.000149843i
\(167\) 5.51717 + 0.972826i 0.426932 + 0.0752796i 0.382986 0.923754i \(-0.374896\pi\)
0.0439461 + 0.999034i \(0.486007\pi\)
\(168\) 1.71043 4.69936i 0.131962 0.362563i
\(169\) 8.53143 7.15872i 0.656264 0.550671i
\(170\) −0.824086 0.982108i −0.0632045 0.0753242i
\(171\) −3.38351 1.95347i −0.258744 0.149386i
\(172\) 1.48409 + 4.07751i 0.113161 + 0.310908i
\(173\) −1.88155 10.6708i −0.143051 0.811285i −0.968911 0.247409i \(-0.920421\pi\)
0.825860 0.563876i \(-0.190690\pi\)
\(174\) 2.46128 + 4.26306i 0.186589 + 0.323182i
\(175\) 7.91874 13.7157i 0.598601 1.03681i
\(176\) −2.42884 0.884025i −0.183081 0.0666359i
\(177\) −17.2055 + 9.93362i −1.29325 + 0.746657i
\(178\) −0.730241 0.612745i −0.0547339 0.0459272i
\(179\) 6.07192i 0.453837i 0.973914 + 0.226918i \(0.0728651\pi\)
−0.973914 + 0.226918i \(0.927135\pi\)
\(180\) −0.161424 + 0.192377i −0.0120318 + 0.0143390i
\(181\) −20.2540 + 7.37185i −1.50547 + 0.547945i −0.957469 0.288535i \(-0.906832\pi\)
−0.547997 + 0.836480i \(0.684610\pi\)
\(182\) −0.773654 + 4.38761i −0.0573471 + 0.325231i
\(183\) 10.5808 1.86567i 0.782153 0.137915i
\(184\) 7.54605 0.556302
\(185\) 1.65132 + 1.65845i 0.121408 + 0.121932i
\(186\) 3.88748 0.285044
\(187\) 8.48176 1.49556i 0.620248 0.109366i
\(188\) −0.908022 + 5.14965i −0.0662243 + 0.375577i
\(189\) 17.1654 6.24768i 1.24860 0.454452i
\(190\) 1.48038 1.76424i 0.107398 0.127992i
\(191\) 6.62693i 0.479508i 0.970834 + 0.239754i \(0.0770668\pi\)
−0.970834 + 0.239754i \(0.922933\pi\)
\(192\) 1.17365 + 0.984808i 0.0847008 + 0.0710724i
\(193\) −19.7925 + 11.4272i −1.42469 + 0.822548i −0.996695 0.0812309i \(-0.974115\pi\)
−0.428000 + 0.903779i \(0.640782\pi\)
\(194\) 13.9249 + 5.06824i 0.999747 + 0.363878i
\(195\) −0.402296 + 0.696797i −0.0288090 + 0.0498987i
\(196\) 1.82730 + 3.16498i 0.130522 + 0.226070i
\(197\) −2.56236 14.5319i −0.182561 1.03535i −0.929049 0.369956i \(-0.879373\pi\)
0.746488 0.665398i \(-0.231738\pi\)
\(198\) −0.577006 1.58531i −0.0410061 0.112663i
\(199\) −1.27720 0.737389i −0.0905380 0.0522721i 0.454047 0.890978i \(-0.349980\pi\)
−0.544585 + 0.838705i \(0.683313\pi\)
\(200\) 3.11878 + 3.71682i 0.220531 + 0.262819i
\(201\) 13.1895 11.0673i 0.930313 0.780625i
\(202\) −0.435228 + 1.19578i −0.0306225 + 0.0841347i
\(203\) −10.3283 1.82115i −0.724901 0.127820i
\(204\) −5.02756 0.886494i −0.351999 0.0620670i
\(205\) −1.08817 + 2.98972i −0.0760010 + 0.208811i
\(206\) 8.30861 6.97175i 0.578888 0.485745i
\(207\) 3.16594 + 3.77303i 0.220048 + 0.262243i
\(208\) −1.18206 0.682461i −0.0819609 0.0473202i
\(209\) 5.29158 + 14.5385i 0.366026 + 1.00565i
\(210\) 0.334123 + 1.89491i 0.0230567 + 0.130761i
\(211\) 1.20976 + 2.09537i 0.0832835 + 0.144251i 0.904658 0.426137i \(-0.140126\pi\)
−0.821375 + 0.570389i \(0.806793\pi\)
\(212\) −4.33561 + 7.50950i −0.297771 + 0.515755i
\(213\) 21.5947 + 7.85984i 1.47965 + 0.538547i
\(214\) 4.12192 2.37979i 0.281769 0.162679i
\(215\) −1.27893 1.07315i −0.0872224 0.0731883i
\(216\) 5.59627i 0.380778i
\(217\) −5.32379 + 6.34464i −0.361402 + 0.430702i
\(218\) 9.05623 3.29620i 0.613365 0.223247i
\(219\) 4.01174 22.7517i 0.271089 1.53742i
\(220\) 0.979373 0.172690i 0.0660293 0.0116427i
\(221\) 4.54809 0.305938
\(222\) 9.28210 + 0.832224i 0.622974 + 0.0558552i
\(223\) −6.94726 −0.465223 −0.232611 0.972570i \(-0.574727\pi\)
−0.232611 + 0.972570i \(0.574727\pi\)
\(224\) −3.21455 + 0.566812i −0.214781 + 0.0378717i
\(225\) −0.549925 + 3.11878i −0.0366617 + 0.207919i
\(226\) −12.1736 + 4.43084i −0.809779 + 0.294735i
\(227\) −14.0443 + 16.7373i −0.932150 + 1.11089i 0.0614692 + 0.998109i \(0.480421\pi\)
−0.993619 + 0.112785i \(0.964023\pi\)
\(228\) 9.17075i 0.607348i
\(229\) −3.25576 2.73191i −0.215147 0.180530i 0.528845 0.848719i \(-0.322625\pi\)
−0.743992 + 0.668189i \(0.767070\pi\)
\(230\) −2.51440 + 1.45169i −0.165794 + 0.0957215i
\(231\) −12.1465 4.42097i −0.799181 0.290878i
\(232\) 1.60649 2.78251i 0.105471 0.182681i
\(233\) −8.67215 15.0206i −0.568131 0.984032i −0.996751 0.0805473i \(-0.974333\pi\)
0.428619 0.903485i \(-0.359000\pi\)
\(234\) −0.154701 0.877355i −0.0101131 0.0573545i
\(235\) −0.688116 1.89058i −0.0448877 0.123328i
\(236\) 11.2301 + 6.48371i 0.731019 + 0.422054i
\(237\) 1.44106 + 1.71739i 0.0936071 + 0.111557i
\(238\) 8.33190 6.99130i 0.540077 0.453178i
\(239\) −6.27893 + 17.2512i −0.406150 + 1.11589i 0.553047 + 0.833150i \(0.313465\pi\)
−0.959197 + 0.282738i \(0.908757\pi\)
\(240\) −0.580523 0.102362i −0.0374726 0.00660742i
\(241\) 23.1096 + 4.07485i 1.48862 + 0.262484i 0.858017 0.513621i \(-0.171696\pi\)
0.630604 + 0.776105i \(0.282807\pi\)
\(242\) 1.47727 4.05876i 0.0949624 0.260907i
\(243\) −5.09627 + 4.27628i −0.326926 + 0.274323i
\(244\) −4.50764 5.37200i −0.288572 0.343907i
\(245\) −1.21774 0.703063i −0.0777986 0.0449171i
\(246\) 4.33308 + 11.9050i 0.276267 + 0.759037i
\(247\) 1.41873 + 8.04601i 0.0902715 + 0.511955i
\(248\) −1.26869 2.19743i −0.0805617 0.139537i
\(249\) −0.00851674 + 0.0147514i −0.000539727 + 0.000934834i
\(250\) −3.56199 1.29646i −0.225280 0.0819951i
\(251\) 5.28405 3.05074i 0.333526 0.192561i −0.323879 0.946098i \(-0.604987\pi\)
0.657405 + 0.753537i \(0.271654\pi\)
\(252\) −1.63207 1.36947i −0.102811 0.0862685i
\(253\) 19.5044i 1.22623i
\(254\) 7.22543 8.61094i 0.453364 0.540298i
\(255\) 1.84576 0.671801i 0.115586 0.0420698i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 4.28106 0.754866i 0.267045 0.0470873i −0.0385222 0.999258i \(-0.512265\pi\)
0.305567 + 0.952170i \(0.401154\pi\)
\(258\) −6.64804 −0.413889
\(259\) −14.0698 + 14.0093i −0.874255 + 0.870497i
\(260\) 0.525160 0.0325690
\(261\) 2.06526 0.364161i 0.127836 0.0225410i
\(262\) 1.45336 8.24243i 0.0897891 0.509219i
\(263\) 3.81031 1.38684i 0.234954 0.0855163i −0.221860 0.975079i \(-0.571213\pi\)
0.456814 + 0.889562i \(0.348991\pi\)
\(264\) 2.54545 3.03355i 0.156662 0.186702i
\(265\) 3.33629i 0.204947i
\(266\) 14.9673 + 12.5591i 0.917704 + 0.770045i
\(267\) 1.26481 0.730241i 0.0774054 0.0446900i
\(268\) −10.5603 3.84362i −0.645071 0.234787i
\(269\) −4.39669 + 7.61528i −0.268071 + 0.464312i −0.968364 0.249544i \(-0.919719\pi\)
0.700293 + 0.713856i \(0.253053\pi\)
\(270\) −1.07659 1.86472i −0.0655194 0.113483i
\(271\) −2.24218 12.7160i −0.136203 0.772444i −0.974015 0.226485i \(-0.927276\pi\)
0.837812 0.545959i \(-0.183835\pi\)
\(272\) 1.13965 + 3.13118i 0.0691017 + 0.189855i
\(273\) −5.91141 3.41296i −0.357775 0.206561i
\(274\) 2.56095 + 3.05202i 0.154713 + 0.184379i
\(275\) 9.60693 8.06117i 0.579319 0.486107i
\(276\) −3.95417 + 10.8640i −0.238013 + 0.653936i
\(277\) 7.65829 + 1.35036i 0.460142 + 0.0811355i 0.398914 0.916988i \(-0.369387\pi\)
0.0612280 + 0.998124i \(0.480498\pi\)
\(278\) −5.03375 0.887586i −0.301904 0.0532338i
\(279\) 0.566438 1.55627i 0.0339117 0.0931717i
\(280\) 0.962069 0.807272i 0.0574946 0.0482437i
\(281\) 0.149454 + 0.178113i 0.00891569 + 0.0106253i 0.770484 0.637459i \(-0.220015\pi\)
−0.761568 + 0.648085i \(0.775570\pi\)
\(282\) −6.93811 4.00572i −0.413158 0.238537i
\(283\) −4.38915 12.0591i −0.260908 0.716838i −0.999107 0.0422550i \(-0.986546\pi\)
0.738199 0.674583i \(-0.235676\pi\)
\(284\) −2.60464 14.7717i −0.154557 0.876537i
\(285\) 1.76424 + 3.05576i 0.104505 + 0.181008i
\(286\) −1.76397 + 3.05528i −0.104306 + 0.180663i
\(287\) −25.3639 9.23169i −1.49718 0.544930i
\(288\) 0.565258 0.326352i 0.0333081 0.0192305i
\(289\) 4.51731 + 3.79047i 0.265724 + 0.222969i
\(290\) 1.23620i 0.0725925i
\(291\) −14.5934 + 17.3917i −0.855481 + 1.01952i
\(292\) −14.1698 + 5.15740i −0.829227 + 0.301814i
\(293\) −4.27944 + 24.2699i −0.250007 + 1.41786i 0.558563 + 0.829462i \(0.311353\pi\)
−0.808570 + 0.588400i \(0.799758\pi\)
\(294\) −5.51412 + 0.972288i −0.321590 + 0.0567050i
\(295\) −4.98927 −0.290487
\(296\) −2.55881 5.51838i −0.148728 0.320749i
\(297\) 14.4648 0.839331
\(298\) −15.6289 + 2.75579i −0.905357 + 0.159639i
\(299\) 1.78854 10.1433i 0.103434 0.586602i
\(300\) −6.98534 + 2.54245i −0.403299 + 0.146789i
\(301\) 9.10429 10.8501i 0.524762 0.625387i
\(302\) 21.7680i 1.25261i
\(303\) −1.49349 1.25319i −0.0857988 0.0719938i
\(304\) −5.18384 + 2.99289i −0.297314 + 0.171654i
\(305\) 2.53543 + 0.922820i 0.145178 + 0.0528405i
\(306\) −1.08745 + 1.88351i −0.0621651 + 0.107673i
\(307\) −3.45566 5.98538i −0.197225 0.341604i 0.750403 0.660981i \(-0.229860\pi\)
−0.947628 + 0.319377i \(0.896526\pi\)
\(308\) 1.46505 + 8.30870i 0.0834789 + 0.473432i
\(309\) 5.68342 + 15.6151i 0.323319 + 0.888310i
\(310\) 0.845471 + 0.488133i 0.0480195 + 0.0277241i
\(311\) 1.06612 + 1.27056i 0.0604542 + 0.0720466i 0.795424 0.606053i \(-0.207248\pi\)
−0.734970 + 0.678100i \(0.762804\pi\)
\(312\) 1.60194 1.34419i 0.0906919 0.0760996i
\(313\) 8.87573 24.3859i 0.501686 1.37837i −0.387942 0.921684i \(-0.626814\pi\)
0.889628 0.456687i \(-0.150964\pi\)
\(314\) 9.60327 + 1.69332i 0.541944 + 0.0955593i
\(315\) 0.807272 + 0.142344i 0.0454846 + 0.00802017i
\(316\) 0.500476 1.37505i 0.0281540 0.0773524i
\(317\) −8.69447 + 7.29553i −0.488330 + 0.409758i −0.853427 0.521212i \(-0.825480\pi\)
0.365097 + 0.930969i \(0.381036\pi\)
\(318\) −8.53949 10.1770i −0.478871 0.570696i
\(319\) −7.19201 4.15231i −0.402675 0.232485i
\(320\) 0.131594 + 0.361551i 0.00735632 + 0.0202113i
\(321\) 1.26626 + 7.18132i 0.0706758 + 0.400822i
\(322\) −12.3157 21.3314i −0.686326 1.18875i
\(323\) 9.97269 17.2732i 0.554896 0.961107i
\(324\) −6.21688 2.26276i −0.345382 0.125709i
\(325\) 5.73530 3.31128i 0.318137 0.183677i
\(326\) 10.0848 + 8.46213i 0.558544 + 0.468674i
\(327\) 14.7654i 0.816529i
\(328\) 5.31531 6.33454i 0.293489 0.349766i
\(329\) 16.0391 5.83777i 0.884266 0.321847i
\(330\) −0.264576 + 1.50049i −0.0145644 + 0.0825990i
\(331\) −12.6426 + 2.22924i −0.694903 + 0.122530i −0.509933 0.860214i \(-0.670330\pi\)
−0.184970 + 0.982744i \(0.559219\pi\)
\(332\) 0.0111178 0.000610170
\(333\) 1.68564 3.59464i 0.0923726 0.196985i
\(334\) 5.60228 0.306543
\(335\) 4.25818 0.750832i 0.232649 0.0410224i
\(336\) 0.868406 4.92498i 0.0473754 0.268679i
\(337\) −5.36736 + 1.95356i −0.292379 + 0.106417i −0.484045 0.875043i \(-0.660833\pi\)
0.191666 + 0.981460i \(0.438611\pi\)
\(338\) 7.15872 8.53143i 0.389383 0.464048i
\(339\) 19.8481i 1.07800i
\(340\) −0.982108 0.824086i −0.0532623 0.0446924i
\(341\) −5.67973 + 3.27919i −0.307575 + 0.177578i
\(342\) −3.67132 1.33625i −0.198523 0.0722563i
\(343\) −5.45991 + 9.45685i −0.294808 + 0.510622i
\(344\) 2.16960 + 3.75786i 0.116977 + 0.202610i
\(345\) −0.772427 4.38065i −0.0415861 0.235846i
\(346\) −3.70592 10.1819i −0.199232 0.547385i
\(347\) 28.0087 + 16.1708i 1.50358 + 0.868095i 0.999991 + 0.00415382i \(0.00132221\pi\)
0.503593 + 0.863941i \(0.332011\pi\)
\(348\) 3.16416 + 3.77090i 0.169617 + 0.202141i
\(349\) −19.0990 + 16.0260i −1.02235 + 0.857852i −0.989921 0.141622i \(-0.954768\pi\)
−0.0324270 + 0.999474i \(0.510324\pi\)
\(350\) 5.41674 14.8824i 0.289537 0.795496i
\(351\) 7.52242 + 1.32641i 0.401517 + 0.0707983i
\(352\) −2.54545 0.448831i −0.135673 0.0239228i
\(353\) 2.95544 8.12001i 0.157302 0.432185i −0.835858 0.548946i \(-0.815029\pi\)
0.993160 + 0.116762i \(0.0372513\pi\)
\(354\) −15.2192 + 12.7704i −0.808891 + 0.678740i
\(355\) 3.70962 + 4.42095i 0.196886 + 0.234640i
\(356\) −0.825549 0.476631i −0.0437540 0.0252614i
\(357\) 5.69936 + 15.6589i 0.301642 + 0.828755i
\(358\) 1.05438 + 5.97968i 0.0557256 + 0.316036i
\(359\) −1.92924 3.34154i −0.101821 0.176360i 0.810614 0.585581i \(-0.199134\pi\)
−0.912435 + 0.409221i \(0.865800\pi\)
\(360\) −0.125565 + 0.217486i −0.00661787 + 0.0114625i
\(361\) 15.8146 + 5.75606i 0.832350 + 0.302951i
\(362\) −18.6662 + 10.7769i −0.981072 + 0.566422i
\(363\) 5.06927 + 4.25362i 0.266068 + 0.223257i
\(364\) 4.45530i 0.233521i
\(365\) 3.72932 4.44444i 0.195202 0.232632i
\(366\) 10.0960 3.67466i 0.527729 0.192078i
\(367\) 1.81571 10.2974i 0.0947794 0.537521i −0.900035 0.435817i \(-0.856460\pi\)
0.994815 0.101704i \(-0.0324294\pi\)
\(368\) 7.43141 1.31036i 0.387389 0.0683071i
\(369\) 5.39731 0.280973
\(370\) 1.91422 + 1.34651i 0.0995157 + 0.0700015i
\(371\) 28.3041 1.46947
\(372\) 3.82842 0.675054i 0.198494 0.0349999i
\(373\) 1.71315 9.71578i 0.0887038 0.503064i −0.907792 0.419421i \(-0.862233\pi\)
0.996496 0.0836434i \(-0.0266557\pi\)
\(374\) 8.09320 2.94568i 0.418489 0.152318i
\(375\) 3.73300 4.44882i 0.192771 0.229736i
\(376\) 5.22909i 0.269670i
\(377\) −3.35945 2.81892i −0.173021 0.145182i
\(378\) 15.8197 9.13350i 0.813677 0.469776i
\(379\) −2.33157 0.848623i −0.119765 0.0435908i 0.281443 0.959578i \(-0.409187\pi\)
−0.401207 + 0.915987i \(0.631409\pi\)
\(380\) 1.15153 1.99451i 0.0590722 0.102316i
\(381\) 8.61094 + 14.9146i 0.441152 + 0.764097i
\(382\) 1.15075 + 6.52625i 0.0588777 + 0.333912i
\(383\) 8.74336 + 24.0222i 0.446765 + 1.22748i 0.934963 + 0.354744i \(0.115432\pi\)
−0.488199 + 0.872733i \(0.662346\pi\)
\(384\) 1.32683 + 0.766044i 0.0677094 + 0.0390920i
\(385\) −2.08657 2.48668i −0.106341 0.126733i
\(386\) −17.5075 + 14.6905i −0.891108 + 0.747728i
\(387\) −0.968674 + 2.66141i −0.0492404 + 0.135287i
\(388\) 14.5934 + 2.57321i 0.740868 + 0.130635i
\(389\) −6.27824 1.10702i −0.318319 0.0561283i 0.0122057 0.999926i \(-0.496115\pi\)
−0.330525 + 0.943797i \(0.607226\pi\)
\(390\) −0.275187 + 0.756069i −0.0139346 + 0.0382850i
\(391\) −19.2617 + 16.1625i −0.974107 + 0.817373i
\(392\) 2.34914 + 2.79959i 0.118649 + 0.141401i
\(393\) 11.1050 + 6.41147i 0.560173 + 0.323416i
\(394\) −5.04687 13.8662i −0.254258 0.698567i
\(395\) 0.0977655 + 0.554456i 0.00491911 + 0.0278977i
\(396\) −0.843527 1.46103i −0.0423888 0.0734196i
\(397\) 18.7489 32.4740i 0.940979 1.62982i 0.177370 0.984144i \(-0.443241\pi\)
0.763609 0.645679i \(-0.223426\pi\)
\(398\) −1.38584 0.504404i −0.0694658 0.0252835i
\(399\) −25.9241 + 14.9673i −1.29783 + 0.749303i
\(400\) 3.71682 + 3.11878i 0.185841 + 0.155939i
\(401\) 35.1464i 1.75513i 0.479462 + 0.877563i \(0.340832\pi\)
−0.479462 + 0.877563i \(0.659168\pi\)
\(402\) 11.0673 13.1895i 0.551985 0.657830i
\(403\) −3.25445 + 1.18452i −0.162116 + 0.0590054i
\(404\) −0.220971 + 1.25319i −0.0109937 + 0.0623484i
\(405\) 2.50681 0.442019i 0.124565 0.0219641i
\(406\) −10.4876 −0.520490
\(407\) −14.2634 + 6.61379i −0.707013 + 0.327834i
\(408\) −5.10511 −0.252741
\(409\) 0.443894 0.0782704i 0.0219491 0.00387022i −0.162663 0.986682i \(-0.552008\pi\)
0.184612 + 0.982811i \(0.440897\pi\)
\(410\) −0.552478 + 3.13326i −0.0272849 + 0.154741i
\(411\) −5.73592 + 2.08770i −0.282932 + 0.102979i
\(412\) 6.97175 8.30861i 0.343473 0.409336i
\(413\) 42.3275i 2.08280i
\(414\) 3.77303 + 3.16594i 0.185434 + 0.155598i
\(415\) −0.00370454 + 0.00213882i −0.000181849 + 0.000104990i
\(416\) −1.28261 0.466831i −0.0628850 0.0228883i
\(417\) 3.91556 6.78195i 0.191746 0.332114i
\(418\) 7.73578 + 13.3988i 0.378369 + 0.655355i
\(419\) −2.65878 15.0787i −0.129890 0.736642i −0.978283 0.207275i \(-0.933541\pi\)
0.848393 0.529367i \(-0.177571\pi\)
\(420\) 0.658094 + 1.80810i 0.0321117 + 0.0882262i
\(421\) −19.3959 11.1982i −0.945299 0.545769i −0.0536815 0.998558i \(-0.517096\pi\)
−0.891617 + 0.452789i \(0.850429\pi\)
\(422\) 1.55524 + 1.85346i 0.0757079 + 0.0902252i
\(423\) −2.61455 + 2.19386i −0.127124 + 0.106669i
\(424\) −2.96573 + 8.14828i −0.144029 + 0.395716i
\(425\) −15.9217 2.80743i −0.772318 0.136180i
\(426\) 22.6315 + 3.99054i 1.09650 + 0.193343i
\(427\) −7.82893 + 21.5098i −0.378868 + 1.04093i
\(428\) 3.64605 3.05940i 0.176239 0.147882i
\(429\) −3.47434 4.14056i −0.167743 0.199908i
\(430\) −1.44585 0.834763i −0.0697252 0.0402559i
\(431\) −0.0349134 0.0959236i −0.00168172 0.00462048i 0.938849 0.344329i \(-0.111894\pi\)
−0.940531 + 0.339709i \(0.889671\pi\)
\(432\) 0.971782 + 5.51125i 0.0467549 + 0.265160i
\(433\) −3.96357 6.86510i −0.190477 0.329916i 0.754931 0.655804i \(-0.227670\pi\)
−0.945408 + 0.325888i \(0.894337\pi\)
\(434\) −4.14117 + 7.17272i −0.198783 + 0.344301i
\(435\) −1.77976 0.647778i −0.0853327 0.0310586i
\(436\) 8.34627 4.81872i 0.399714 0.230775i
\(437\) −34.6015 29.0341i −1.65521 1.38889i
\(438\) 23.1027i 1.10389i
\(439\) 4.86630 5.79944i 0.232256 0.276792i −0.637311 0.770607i \(-0.719953\pi\)
0.869567 + 0.493815i \(0.164398\pi\)
\(440\) 0.934507 0.340133i 0.0445509 0.0162152i
\(441\) −0.414216 + 2.34914i −0.0197246 + 0.111864i
\(442\) 4.47900 0.789768i 0.213044 0.0375654i
\(443\) 15.9856 0.759499 0.379749 0.925089i \(-0.376010\pi\)
0.379749 + 0.925089i \(0.376010\pi\)
\(444\) 9.28560 0.792239i 0.440675 0.0375980i
\(445\) 0.366772 0.0173867
\(446\) −6.84171 + 1.20638i −0.323964 + 0.0571237i
\(447\) 4.22212 23.9448i 0.199700 1.13255i
\(448\) −3.06729 + 1.11640i −0.144916 + 0.0527450i
\(449\) −18.4321 + 21.9666i −0.869866 + 1.03667i 0.129119 + 0.991629i \(0.458785\pi\)
−0.998985 + 0.0450373i \(0.985659\pi\)
\(450\) 3.16689i 0.149289i
\(451\) −16.3730 13.7386i −0.770974 0.646924i
\(452\) −11.2193 + 6.47746i −0.527711 + 0.304674i
\(453\) −31.3393 11.4066i −1.47245 0.535928i
\(454\) −10.9245 + 18.9218i −0.512712 + 0.888043i
\(455\) −0.857098 1.48454i −0.0401814 0.0695962i
\(456\) −1.59248 9.03143i −0.0745749 0.422935i
\(457\) 0.0359519 + 0.0987770i 0.00168176 + 0.00462059i 0.940531 0.339709i \(-0.110329\pi\)
−0.938849 + 0.344329i \(0.888106\pi\)
\(458\) −3.68069 2.12505i −0.171987 0.0992970i
\(459\) −11.9864 14.2848i −0.559476 0.666757i
\(460\) −2.22412 + 1.86625i −0.103700 + 0.0870146i
\(461\) 8.19825 22.5245i 0.381831 1.04907i −0.588754 0.808312i \(-0.700381\pi\)
0.970585 0.240759i \(-0.0773964\pi\)
\(462\) −12.7297 2.24458i −0.592238 0.104427i
\(463\) −20.4361 3.60344i −0.949747 0.167466i −0.322747 0.946485i \(-0.604606\pi\)
−0.627000 + 0.779019i \(0.715717\pi\)
\(464\) 1.09890 3.01921i 0.0510152 0.140163i
\(465\) −1.14579 + 0.961434i −0.0531348 + 0.0445854i
\(466\) −11.1487 13.2865i −0.516454 0.615485i
\(467\) 15.1492 + 8.74642i 0.701023 + 0.404736i 0.807728 0.589555i \(-0.200697\pi\)
−0.106705 + 0.994291i \(0.534030\pi\)
\(468\) −0.304702 0.837163i −0.0140849 0.0386979i
\(469\) 6.36983 + 36.1251i 0.294132 + 1.66810i
\(470\) −1.00596 1.74237i −0.0464014 0.0803696i
\(471\) −7.47002 + 12.9385i −0.344200 + 0.596172i
\(472\) 12.1854 + 4.43512i 0.560878 + 0.204143i
\(473\) 9.71300 5.60780i 0.446604 0.257847i
\(474\) 1.71739 + 1.44106i 0.0788825 + 0.0661902i
\(475\) 29.0428i 1.33258i
\(476\) 6.99130 8.33190i 0.320446 0.381892i
\(477\) −5.31841 + 1.93574i −0.243513 + 0.0886317i
\(478\) −3.18790 + 18.0795i −0.145811 + 0.826935i
\(479\) −6.77593 + 1.19478i −0.309600 + 0.0545909i −0.326290 0.945270i \(-0.605798\pi\)
0.0166894 + 0.999861i \(0.494687\pi\)
\(480\) −0.589478 −0.0269059
\(481\) −8.02421 + 2.13157i −0.365872 + 0.0971912i
\(482\) 23.4661 1.06885
\(483\) 37.1641 6.55304i 1.69103 0.298174i
\(484\) 0.750028 4.25362i 0.0340922 0.193346i
\(485\) −5.35766 + 1.95003i −0.243279 + 0.0885462i
\(486\) −4.27628 + 5.09627i −0.193976 + 0.231171i
\(487\) 1.70810i 0.0774014i 0.999251 + 0.0387007i \(0.0123219\pi\)
−0.999251 + 0.0387007i \(0.987678\pi\)
\(488\) −5.37200 4.50764i −0.243179 0.204051i
\(489\) −17.4673 + 10.0848i −0.789901 + 0.456049i
\(490\) −1.32133 0.480924i −0.0596915 0.0217259i
\(491\) −5.31153 + 9.19983i −0.239706 + 0.415183i −0.960630 0.277831i \(-0.910384\pi\)
0.720924 + 0.693014i \(0.243718\pi\)
\(492\) 6.33454 + 10.9717i 0.285583 + 0.494644i
\(493\) 1.85908 + 10.5434i 0.0837288 + 0.474850i
\(494\) 2.79435 + 7.67741i 0.125724 + 0.345423i
\(495\) 0.562138 + 0.324551i 0.0252662 + 0.0145875i
\(496\) −1.63099 1.94374i −0.0732337 0.0872765i
\(497\) −37.5060 + 31.4713i −1.68237 + 1.41168i
\(498\) −0.00582580 + 0.0160062i −0.000261060 + 0.000717257i
\(499\) 34.9319 + 6.15943i 1.56376 + 0.275734i 0.887459 0.460887i \(-0.152469\pi\)
0.676306 + 0.736621i \(0.263580\pi\)
\(500\) −3.73300 0.658229i −0.166945 0.0294369i
\(501\) −2.93563 + 8.06557i −0.131154 + 0.360343i
\(502\) 4.67401 3.92196i 0.208611 0.175046i
\(503\) −19.3402 23.0487i −0.862336 1.02769i −0.999311 0.0371171i \(-0.988183\pi\)
0.136975 0.990574i \(-0.456262\pi\)
\(504\) −1.84508 1.06526i −0.0821864 0.0474504i
\(505\) −0.167456 0.460081i −0.00745168 0.0204733i
\(506\) −3.38690 19.2081i −0.150566 0.853903i
\(507\) 8.53143 + 14.7769i 0.378894 + 0.656264i
\(508\) 5.62039 9.73480i 0.249364 0.431912i
\(509\) 22.6380 + 8.23957i 1.00341 + 0.365213i 0.790900 0.611946i \(-0.209613\pi\)
0.212513 + 0.977158i \(0.431835\pi\)
\(510\) 1.70106 0.982108i 0.0753242 0.0434885i
\(511\) 37.7052 + 31.6385i 1.66798 + 1.39960i
\(512\) 1.00000i 0.0441942i
\(513\) 21.5321 25.6610i 0.950666 1.13296i
\(514\) 4.08494 1.48680i 0.180179 0.0655798i
\(515\) −0.724650 + 4.10969i −0.0319319 + 0.181095i
\(516\) −6.54704 + 1.15442i −0.288217 + 0.0508205i
\(517\) 13.5157 0.594421
\(518\) −11.4234 + 16.2397i −0.501913 + 0.713531i
\(519\) 16.6008 0.728694
\(520\) 0.517182 0.0911931i 0.0226799 0.00399908i
\(521\) −0.130158 + 0.738160i −0.00570231 + 0.0323394i −0.987526 0.157455i \(-0.949671\pi\)
0.981824 + 0.189794i \(0.0607822\pi\)
\(522\) 1.97065 0.717257i 0.0862528 0.0313935i
\(523\) 1.31038 1.56165i 0.0572989 0.0682862i −0.736634 0.676292i \(-0.763586\pi\)
0.793933 + 0.608006i \(0.208030\pi\)
\(524\) 8.36959i 0.365627i
\(525\) 18.5876 + 15.5969i 0.811231 + 0.680704i
\(526\) 3.51160 2.02743i 0.153113 0.0884000i
\(527\) 7.94496 + 2.89173i 0.346088 + 0.125966i
\(528\) 1.98001 3.42947i 0.0861688 0.149249i
\(529\) 16.9714 + 29.3954i 0.737889 + 1.27806i
\(530\) −0.579341 3.28561i −0.0251650 0.142718i
\(531\) 2.89482 + 7.95345i 0.125624 + 0.345150i
\(532\) 16.9208 + 9.76922i 0.733609 + 0.423549i
\(533\) −7.25498 8.64615i −0.314248 0.374506i
\(534\) 1.11879 0.938780i 0.0484150 0.0406250i
\(535\) −0.626331 + 1.72083i −0.0270787 + 0.0743980i
\(536\) −11.0673 1.95146i −0.478033 0.0842902i
\(537\) −9.16140 1.61540i −0.395343 0.0697097i
\(538\) −3.00751 + 8.26307i −0.129663 + 0.356246i
\(539\) 7.23615 6.07185i 0.311683 0.261533i
\(540\) −1.38404 1.64944i −0.0595597 0.0709805i
\(541\) −27.1442 15.6717i −1.16702 0.673778i −0.214042 0.976824i \(-0.568663\pi\)
−0.952976 + 0.303046i \(0.901996\pi\)
\(542\) −4.41623 12.1335i −0.189694 0.521179i
\(543\) −5.73428 32.5207i −0.246081 1.39560i
\(544\) 1.66606 + 2.88571i 0.0714319 + 0.123724i
\(545\) −1.85402 + 3.21126i −0.0794176 + 0.137555i
\(546\) −6.41426 2.33460i −0.274505 0.0999116i
\(547\) 15.7325 9.08317i 0.672674 0.388368i −0.124415 0.992230i \(-0.539706\pi\)
0.797089 + 0.603862i \(0.206372\pi\)
\(548\) 3.05202 + 2.56095i 0.130376 + 0.109398i
\(549\) 4.57718i 0.195349i
\(550\) 8.06117 9.60693i 0.343729 0.409641i
\(551\) −18.0723 + 6.57778i −0.769906 + 0.280223i
\(552\) −2.00758 + 11.3856i −0.0854485 + 0.484602i
\(553\) −4.70383 + 0.829413i −0.200027 + 0.0352702i
\(554\) 7.77643 0.330389
\(555\) −2.94162 + 2.05032i −0.124865 + 0.0870311i
\(556\) −5.11140 −0.216772
\(557\) 32.4061 5.71408i 1.37309 0.242113i 0.562051 0.827102i \(-0.310012\pi\)
0.811041 + 0.584989i \(0.198901\pi\)
\(558\) 0.287588 1.63099i 0.0121746 0.0690454i
\(559\) 5.56549 2.02567i 0.235395 0.0856768i
\(560\) 0.807272 0.962069i 0.0341135 0.0406548i
\(561\) 13.1953i 0.557105i
\(562\) 0.178113 + 0.149454i 0.00751323 + 0.00630435i
\(563\) 29.7054 17.1504i 1.25193 0.722804i 0.280440 0.959872i \(-0.409520\pi\)
0.971493 + 0.237068i \(0.0761864\pi\)
\(564\) −7.52829 2.74007i −0.316998 0.115378i
\(565\) 2.49223 4.31667i 0.104849 0.181604i
\(566\) −6.41650 11.1137i −0.269706 0.467144i
\(567\) 3.74995 + 21.2670i 0.157483 + 0.893132i
\(568\) −5.13014 14.0950i −0.215256 0.591411i
\(569\) 18.3769 + 10.6099i 0.770398 + 0.444789i 0.833017 0.553248i \(-0.186612\pi\)
−0.0626186 + 0.998038i \(0.519945\pi\)
\(570\) 2.26807 + 2.70298i 0.0949989 + 0.113215i
\(571\) 12.5989 10.5717i 0.527247 0.442413i −0.339902 0.940461i \(-0.610394\pi\)
0.867150 + 0.498048i \(0.165950\pi\)
\(572\) −1.20663 + 3.31518i −0.0504516 + 0.138614i
\(573\) −9.99880 1.76306i −0.417706 0.0736528i
\(574\) −26.5816 4.68705i −1.10949 0.195634i
\(575\) −12.5224 + 34.4051i −0.522222 + 1.43479i
\(576\) 0.500000 0.419550i 0.0208333 0.0174812i
\(577\) −23.3471 27.8240i −0.971952 1.15833i −0.987368 0.158446i \(-0.949352\pi\)
0.0154162 0.999881i \(-0.495093\pi\)
\(578\) 5.10689 + 2.94846i 0.212419 + 0.122640i
\(579\) −11.9758 32.9033i −0.497698 1.36742i
\(580\) 0.214665 + 1.21742i 0.00891347 + 0.0505508i
\(581\) −0.0181451 0.0314282i −0.000752784 0.00130386i
\(582\) −11.3517 + 19.6616i −0.470541 + 0.815001i
\(583\) 21.0610 + 7.66558i 0.872258 + 0.317476i
\(584\) −13.0590 + 7.53961i −0.540385 + 0.311991i
\(585\) 0.262580 + 0.220331i 0.0108563 + 0.00910956i
\(586\) 24.6443i 1.01805i
\(587\) 24.1202 28.7453i 0.995547 1.18645i 0.0130981 0.999914i \(-0.495831\pi\)
0.982449 0.186532i \(-0.0597249\pi\)
\(588\) −5.26151 + 1.91503i −0.216981 + 0.0789747i
\(589\) −2.63740 + 14.9574i −0.108672 + 0.616310i
\(590\) −4.91348 + 0.866378i −0.202285 + 0.0356682i
\(591\) 22.6076 0.929953
\(592\) −3.47819 4.99021i −0.142953 0.205096i
\(593\) −10.0159 −0.411302 −0.205651 0.978625i \(-0.565931\pi\)
−0.205651 + 0.978625i \(0.565931\pi\)
\(594\) 14.2450 2.51178i 0.584480 0.103060i
\(595\) −0.726682 + 4.12122i −0.0297910 + 0.168953i
\(596\) −14.9129 + 5.42786i −0.610857 + 0.222334i
\(597\) 1.45237 1.73087i 0.0594417 0.0708398i
\(598\) 10.2998i 0.421189i
\(599\) −25.7808 21.6326i −1.05337 0.883886i −0.0599300 0.998203i \(-0.519088\pi\)
−0.993444 + 0.114317i \(0.963532\pi\)
\(600\) −6.43772 + 3.71682i −0.262819 + 0.151739i
\(601\) 40.2252 + 14.6408i 1.64082 + 0.597209i 0.987182 0.159599i \(-0.0510202\pi\)
0.653637 + 0.756808i \(0.273242\pi\)
\(602\) 7.08188 12.2662i 0.288636 0.499932i
\(603\) −3.66754 6.35237i −0.149354 0.258688i
\(604\) 3.77998 + 21.4373i 0.153805 + 0.872273i
\(605\) 0.568385 + 1.56163i 0.0231081 + 0.0634891i
\(606\) −1.68842 0.974807i −0.0685872 0.0395988i
\(607\) 3.45545 + 4.11804i 0.140252 + 0.167146i 0.831598 0.555378i \(-0.187426\pi\)
−0.691346 + 0.722524i \(0.742982\pi\)
\(608\) −4.58538 + 3.84759i −0.185962 + 0.156040i
\(609\) 5.49555 15.0989i 0.222691 0.611838i
\(610\) 2.65715 + 0.468528i 0.107585 + 0.0189701i
\(611\) 7.02887 + 1.23938i 0.284358 + 0.0501400i
\(612\) −0.743857 + 2.04373i −0.0300686 + 0.0826129i
\(613\) −25.6002 + 21.4811i −1.03398 + 0.867614i −0.991319 0.131476i \(-0.958028\pi\)
−0.0426623 + 0.999090i \(0.513584\pi\)
\(614\) −4.44251 5.29438i −0.179285 0.213664i
\(615\) −4.22143 2.43724i −0.170224 0.0982791i
\(616\) 2.88558 + 7.92807i 0.116263 + 0.319431i
\(617\) −0.878588 4.98272i −0.0353706 0.200597i 0.962002 0.273044i \(-0.0880303\pi\)
−0.997372 + 0.0724469i \(0.976919\pi\)
\(618\) 8.30861 + 14.3909i 0.334221 + 0.578888i
\(619\) −17.8909 + 30.9879i −0.719096 + 1.24551i 0.242263 + 0.970211i \(0.422110\pi\)
−0.961358 + 0.275300i \(0.911223\pi\)
\(620\) 0.917390 + 0.333902i 0.0368433 + 0.0134098i
\(621\) −36.5720 + 21.1149i −1.46758 + 0.847310i
\(622\) 1.27056 + 1.06612i 0.0509446 + 0.0427476i
\(623\) 3.11158i 0.124663i
\(624\) 1.34419 1.60194i 0.0538105 0.0641289i
\(625\) −21.4263 + 7.79853i −0.857051 + 0.311941i
\(626\) 4.50633 25.5566i 0.180109 1.02145i
\(627\) −23.3437 + 4.11612i −0.932257 + 0.164382i
\(628\) 9.75142 0.389124
\(629\) 18.3510 + 8.60539i 0.731704 + 0.343119i
\(630\) 0.819725 0.0326586
\(631\) 6.52046 1.14973i 0.259576 0.0457702i −0.0423458 0.999103i \(-0.513483\pi\)
0.301921 + 0.953333i \(0.402372\pi\)
\(632\) 0.254098 1.44106i 0.0101075 0.0573224i
\(633\) −3.48337 + 1.26784i −0.138452 + 0.0503923i
\(634\) −7.29553 + 8.69447i −0.289742 + 0.345301i
\(635\) 4.32494i 0.171630i
\(636\) −10.1770 8.53949i −0.403543 0.338613i
\(637\) 4.31996 2.49413i 0.171163 0.0988210i
\(638\) −7.80379 2.84035i −0.308955 0.112450i
\(639\) 4.89513 8.47861i 0.193648 0.335409i
\(640\) 0.192377 + 0.333207i 0.00760438 + 0.0131712i
\(641\) −6.18098 35.0541i −0.244134 1.38455i −0.822495 0.568772i \(-0.807418\pi\)
0.578361 0.815781i \(-0.303693\pi\)
\(642\) 2.49405 + 6.85234i 0.0984322 + 0.270440i
\(643\) 4.34087 + 2.50620i 0.171187 + 0.0988350i 0.583146 0.812368i \(-0.301822\pi\)
−0.411958 + 0.911203i \(0.635155\pi\)
\(644\) −15.8327 18.8687i −0.623897 0.743532i
\(645\) 1.95944 1.64416i 0.0771528 0.0647388i
\(646\) 6.82172 18.7425i 0.268397 0.737415i
\(647\) −34.7348 6.12469i −1.36557 0.240786i −0.557647 0.830078i \(-0.688296\pi\)
−0.807920 + 0.589292i \(0.799407\pi\)
\(648\) −6.51536 1.14883i −0.255947 0.0451304i
\(649\) 11.4635 31.4958i 0.449983 1.23632i
\(650\) 5.07317 4.25690i 0.198986 0.166969i
\(651\) −8.15651 9.72055i −0.319679 0.380979i
\(652\) 11.4010 + 6.58237i 0.446498 + 0.257785i
\(653\) 0.925218 + 2.54201i 0.0362066 + 0.0994767i 0.956479 0.291802i \(-0.0942549\pi\)
−0.920272 + 0.391279i \(0.872033\pi\)
\(654\) 2.56399 + 14.5411i 0.100260 + 0.568602i
\(655\) 1.61012 + 2.78881i 0.0629125 + 0.108968i
\(656\) 4.13458 7.16130i 0.161428 0.279602i
\(657\) −9.24871 3.36625i −0.360826 0.131330i
\(658\) 14.7817 8.53424i 0.576252 0.332699i
\(659\) 21.3419 + 17.9080i 0.831363 + 0.697597i 0.955604 0.294655i \(-0.0952049\pi\)
−0.124240 + 0.992252i \(0.539649\pi\)
\(660\) 1.52363i 0.0593074i
\(661\) −6.82156 + 8.12962i −0.265328 + 0.316205i −0.882216 0.470846i \(-0.843949\pi\)
0.616888 + 0.787051i \(0.288393\pi\)
\(662\) −12.0635 + 4.39075i −0.468860 + 0.170651i
\(663\) −1.21000 + 6.86222i −0.0469923 + 0.266507i
\(664\) 0.0109489 0.00193059i 0.000424900 7.49214e-5i
\(665\) −7.51750 −0.291516
\(666\) 1.03583 3.83274i 0.0401376 0.148516i
\(667\) 24.2452 0.938779
\(668\) 5.51717 0.972826i 0.213466 0.0376398i
\(669\) 1.84828 10.4821i 0.0714586 0.405262i
\(670\) 4.06311 1.47885i 0.156972 0.0571330i
\(671\) −11.6510 + 13.8851i −0.449781 + 0.536028i
\(672\) 5.00095i 0.192916i
\(673\) −0.503594 0.422565i −0.0194121 0.0162887i 0.633030 0.774127i \(-0.281811\pi\)
−0.652442 + 0.757839i \(0.726255\pi\)
\(674\) −4.94659 + 2.85591i −0.190535 + 0.110006i
\(675\) −25.5154 9.28683i −0.982087 0.357450i
\(676\) 5.56849 9.64491i 0.214173 0.370958i
\(677\) 16.0036 + 27.7190i 0.615067 + 1.06533i 0.990373 + 0.138426i \(0.0442043\pi\)
−0.375306 + 0.926901i \(0.622462\pi\)
\(678\) −3.44659 19.5466i −0.132365 0.750681i
\(679\) −16.5434 45.4527i −0.634879 1.74432i
\(680\) −1.11029 0.641025i −0.0425776 0.0245822i
\(681\) −21.5171 25.6430i −0.824535 0.982643i
\(682\) −5.02402 + 4.21565i −0.192380 + 0.161426i
\(683\) −1.36647 + 3.75435i −0.0522866 + 0.143656i −0.963087 0.269191i \(-0.913244\pi\)
0.910800 + 0.412848i \(0.135466\pi\)
\(684\) −3.84759 0.678433i −0.147116 0.0259405i
\(685\) −1.50962 0.266187i −0.0576797 0.0101705i
\(686\) −3.73480 + 10.2613i −0.142595 + 0.391778i
\(687\) 4.98812 4.18553i 0.190309 0.159688i
\(688\) 2.78918 + 3.32402i 0.106337 + 0.126727i
\(689\) 10.2499 + 5.91777i 0.390489 + 0.225449i
\(690\) −1.52138 4.17997i −0.0579181 0.159129i
\(691\) −0.763380 4.32934i −0.0290404 0.164696i 0.966839 0.255388i \(-0.0822032\pi\)
−0.995879 + 0.0906920i \(0.971092\pi\)
\(692\) −5.41770 9.38373i −0.205950 0.356716i
\(693\) −2.75339 + 4.76901i −0.104593 + 0.181160i
\(694\) 30.3912 + 11.0615i 1.15363 + 0.419888i
\(695\) 1.70316 0.983317i 0.0646044 0.0372993i
\(696\) 3.77090 + 3.16416i 0.142936 + 0.119937i
\(697\) 27.5539i 1.04368i
\(698\) −16.0260 + 19.0990i −0.606593 + 0.722909i
\(699\) 24.9705 9.08850i 0.944469 0.343759i
\(700\) 2.75015 15.5969i 0.103946 0.589507i
\(701\) 14.1350 2.49237i 0.533870 0.0941356i 0.0997873 0.995009i \(-0.468184\pi\)
0.434082 + 0.900873i \(0.357073\pi\)
\(702\) 7.63847 0.288295
\(703\) −9.49934 + 35.1491i −0.358274 + 1.32567i
\(704\) −2.58472 −0.0974152
\(705\) 3.03561 0.535259i 0.114328 0.0201590i
\(706\) 1.50052 8.50986i 0.0564727 0.320273i
\(707\) 3.90319 1.42064i 0.146794 0.0534288i
\(708\) −12.7704 + 15.2192i −0.479942 + 0.571972i
\(709\) 6.87475i 0.258187i 0.991632 + 0.129093i \(0.0412067\pi\)
−0.991632 + 0.129093i \(0.958793\pi\)
\(710\) 4.42095 + 3.70962i 0.165915 + 0.139219i
\(711\) 0.827139 0.477549i 0.0310201 0.0179095i
\(712\) −0.895774 0.326035i −0.0335705 0.0122187i
\(713\) 9.57357 16.5819i 0.358533 0.620998i
\(714\) 8.33190 + 14.4313i 0.311814 + 0.540077i
\(715\) −0.235708 1.33677i −0.00881499 0.0499923i
\(716\) 2.07672 + 5.70574i 0.0776107 + 0.213234i
\(717\) −24.3584 14.0633i −0.909681 0.525204i
\(718\) −2.48018 2.95577i −0.0925596 0.110308i
\(719\) −13.0967 + 10.9894i −0.488424 + 0.409836i −0.853461 0.521157i \(-0.825501\pi\)
0.365037 + 0.930993i \(0.381056\pi\)
\(720\) −0.0858917 + 0.235986i −0.00320100 + 0.00879466i
\(721\) −34.8654 6.14771i −1.29845 0.228953i
\(722\) 16.5739 + 2.92243i 0.616817 + 0.108762i
\(723\) −12.2964 + 33.7840i −0.457307 + 1.25644i
\(724\) −16.5112 + 13.8545i −0.613634 + 0.514900i
\(725\) 10.0206 + 11.9420i 0.372154 + 0.443516i
\(726\) 5.73089 + 3.30873i 0.212693 + 0.122799i
\(727\) −14.5792 40.0561i −0.540713 1.48560i −0.845919 0.533311i \(-0.820948\pi\)
0.305206 0.952286i \(-0.401275\pi\)
\(728\) 0.773654 + 4.38761i 0.0286735 + 0.162616i
\(729\) −15.0201 26.0155i −0.556299 0.963538i
\(730\) 2.90090 5.02451i 0.107367 0.185965i
\(731\) −13.5868 4.94519i −0.502526 0.182904i
\(732\) 9.30457 5.37200i 0.343907 0.198555i
\(733\) 32.6482 + 27.3951i 1.20589 + 1.01186i 0.999442 + 0.0334033i \(0.0106346\pi\)
0.206447 + 0.978458i \(0.433810\pi\)
\(734\) 10.4563i 0.385948i
\(735\) 1.38476 1.65030i 0.0510778 0.0608722i
\(736\) 7.09097 2.58090i 0.261377 0.0951333i
\(737\) −5.04397 + 28.6058i −0.185797 + 1.05371i
\(738\) 5.31531 0.937232i 0.195659 0.0345000i
\(739\) 1.69175 0.0622321 0.0311161 0.999516i \(-0.490094\pi\)
0.0311161 + 0.999516i \(0.490094\pi\)
\(740\) 2.11896 + 0.993649i 0.0778945 + 0.0365272i
\(741\) −12.5174 −0.459837
\(742\) 27.8741 4.91495i 1.02329 0.180434i
\(743\) −2.22382 + 12.6119i −0.0815839 + 0.462685i 0.916458 + 0.400132i \(0.131036\pi\)
−0.998042 + 0.0625538i \(0.980076\pi\)
\(744\) 3.65304 1.32960i 0.133927 0.0487454i
\(745\) 3.92489 4.67751i 0.143797 0.171371i
\(746\) 9.86566i 0.361208i
\(747\) 0.00555891 + 0.00466448i 0.000203390 + 0.000170664i
\(748\) 7.45873 4.30630i 0.272718 0.157454i
\(749\) −14.5990 5.31360i −0.533436 0.194155i
\(750\) 2.90376 5.02946i 0.106030 0.183650i
\(751\) 24.2360 + 41.9780i 0.884384 + 1.53180i 0.846418 + 0.532520i \(0.178755\pi\)
0.0379668 + 0.999279i \(0.487912\pi\)
\(752\) 0.908022 + 5.14965i 0.0331122 + 0.187788i
\(753\) 3.19721 + 8.78427i 0.116513 + 0.320117i
\(754\) −3.79792 2.19273i −0.138312 0.0798544i
\(755\) −5.38357 6.41589i −0.195928 0.233498i
\(756\) 13.9933 11.7418i 0.508933 0.427045i
\(757\) 10.9913 30.1984i 0.399486 1.09758i −0.563049 0.826424i \(-0.690372\pi\)
0.962535 0.271156i \(-0.0874060\pi\)
\(758\) −2.44351 0.430857i −0.0887524 0.0156494i
\(759\) 29.4285 + 5.18904i 1.06819 + 0.188350i
\(760\) 0.787692 2.16417i 0.0285726 0.0785025i
\(761\) 7.94619 6.66765i 0.288049 0.241702i −0.487300 0.873235i \(-0.662018\pi\)
0.775349 + 0.631533i \(0.217574\pi\)
\(762\) 11.0700 + 13.1927i 0.401024 + 0.477922i
\(763\) −27.2434 15.7290i −0.986277 0.569427i
\(764\) 2.26654 + 6.22728i 0.0820007 + 0.225295i
\(765\) −0.145309 0.824086i −0.00525365 0.0297949i
\(766\) 12.7819 + 22.1390i 0.461830 + 0.799913i
\(767\) 8.84976 15.3282i 0.319546 0.553471i
\(768\) 1.43969 + 0.524005i 0.0519504 + 0.0189084i
\(769\) 29.3819 16.9637i 1.05954 0.611725i 0.134234 0.990950i \(-0.457143\pi\)
0.925305 + 0.379225i \(0.123809\pi\)
\(770\) −2.48668