Properties

Label 74.2.h.a.41.2
Level $74$
Weight $2$
Character 74.41
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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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 41.2
Root \(0.984808 + 0.173648i\) of defining polynomial
Character \(\chi\) \(=\) 74.41
Dual form 74.2.h.a.65.2

$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\)

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 −0.960054 0.279815i \(-0.909727\pi\)
0.806453 0.591298i \(-0.201384\pi\)
\(4\) 0.939693 + 0.342020i 0.469846 + 0.171010i
\(5\) −0.247315 0.294739i −0.110603 0.131811i 0.707903 0.706310i \(-0.249641\pi\)
−0.818506 + 0.574499i \(0.805197\pi\)
\(6\) 1.53209i 0.625473i
\(7\) −2.50048 + 2.09815i −0.945091 + 0.793026i −0.978464 0.206417i \(-0.933820\pi\)
0.0333729 + 0.999443i \(0.489375\pi\)
\(8\) 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 −0.992404 0.123023i \(-0.960741\pi\)
0.602743 + 0.797935i \(0.294074\pi\)
\(12\) 0.266044 1.50881i 0.0768004 0.435557i
\(13\) −0.466831 + 1.28261i −0.129476 + 0.355731i −0.987444 0.157972i \(-0.949504\pi\)
0.857968 + 0.513703i \(0.171727\pi\)
\(14\) −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 −0.997763 0.0668568i \(-0.978703\pi\)
0.721356 0.692565i \(-0.243519\pi\)
\(18\) 0.642788 0.113341i 0.151506 0.0267147i
\(19\) −5.89485 + 1.03942i −1.35237 + 0.238459i −0.802431 0.596745i \(-0.796460\pi\)
−0.549939 + 0.835205i \(0.685349\pi\)
\(20\) −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 0.372680 0.927960i \(-0.378439\pi\)
0.989977 + 0.141230i \(0.0451057\pi\)
\(24\) 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 0.735583 0.677434i \(-0.236908\pi\)
−0.218883 + 0.975751i \(0.570241\pi\)
\(30\) −0.451566 + 0.378909i −0.0824444 + 0.0691790i
\(31\) 2.53737i 0.455726i 0.973693 + 0.227863i \(0.0731738\pi\)
−0.973693 + 0.227863i \(0.926826\pi\)
\(32\) 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 0.867931 0.496685i \(-0.165449\pi\)
0.345611 + 0.938378i \(0.387672\pi\)
\(42\) 3.21455 + 3.83095i 0.496016 + 0.591129i
\(43\) 4.33920i 0.661722i −0.943680 0.330861i \(-0.892661\pi\)
0.943680 0.330861i \(-0.107339\pi\)
\(44\) −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 0.609888 0.792488i \(-0.291215\pi\)
−0.991258 + 0.131934i \(0.957881\pi\)
\(48\) 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 0.0601551 0.998189i \(-0.480840\pi\)
−0.972578 + 0.232575i \(0.925285\pi\)
\(54\) −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 0.131849 0.991270i \(-0.457909\pi\)
0.953315 0.301978i \(-0.0976469\pi\)
\(60\) −0.510503 + 0.294739i −0.0659056 + 0.0380506i
\(61\) −2.39847 + 6.58973i −0.307092 + 0.843728i 0.686128 + 0.727481i \(0.259309\pi\)
−0.993220 + 0.116248i \(0.962913\pi\)
\(62\) −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 −0.993275 0.115781i \(-0.963063\pi\)
−0.0584586 + 0.998290i \(0.518619\pi\)
\(68\) 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 0.603477 + 0.797380i \(0.293781\pi\)
−0.294363 + 0.955694i \(0.595107\pi\)
\(72\) 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 0.816357 0.577548i \(-0.195990\pi\)
−0.710532 + 0.703664i \(0.751546\pi\)
\(80\) 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 −0.341447 0.939901i \(-0.610917\pi\)
0.342593 + 0.939484i \(0.388695\pi\)
\(84\) 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 −0.797542 0.603264i \(-0.793867\pi\)
0.732591 + 0.680669i \(0.238311\pi\)
\(90\) −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 0.322097 0.946707i \(-0.395612\pi\)
0.980920 + 0.194410i \(0.0622791\pi\)
\(98\) 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 0.832633 0.553825i \(-0.186832\pi\)
−0.895943 + 0.444169i \(0.853499\pi\)
\(102\) −4.79724 + 1.74605i −0.474997 + 0.172885i
\(103\) 9.39301 + 5.42306i 0.925521 + 0.534350i 0.885392 0.464845i \(-0.153890\pi\)
0.0401287 + 0.999195i \(0.487223\pi\)
\(104\) −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 0.549034 0.835800i \(-0.314996\pi\)
−0.116657 + 0.993172i \(0.537218\pi\)
\(108\) −0.971782 5.51125i −0.0935097 0.530320i
\(109\) 9.49102 + 1.67352i 0.909075 + 0.160294i 0.608583 0.793490i \(-0.291738\pi\)
0.300492 + 0.953784i \(0.402849\pi\)
\(110\) 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 −0.462405 0.886669i \(-0.653013\pi\)
−0.737777 + 0.675044i \(0.764124\pi\)
\(114\) 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 0.939190 0.343398i \(-0.111578\pi\)
−0.175093 + 0.984552i \(0.556023\pi\)
\(128\) 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 0.999681 + 0.0252378i \(0.00803431\pi\)
−0.749578 + 0.661916i \(0.769743\pi\)
\(132\) 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 −0.768294 0.640097i \(-0.778894\pi\)
0.938487 + 0.345313i \(0.112227\pi\)
\(138\) −5.78061 10.0123i −0.492078 0.852304i
\(139\) −4.80315 + 1.74820i −0.407398 + 0.148281i −0.537586 0.843209i \(-0.680664\pi\)
0.130189 + 0.991489i \(0.458442\pi\)
\(140\) 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 −0.610955 0.791665i \(-0.709214\pi\)
0.303344 0.952881i \(-0.401897\pi\)
\(152\) −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 0.0505928 0.998719i \(-0.483889\pi\)
0.680721 + 0.732543i \(0.261667\pi\)
\(158\) 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 −0.324980 0.945721i \(-0.605358\pi\)
0.987785 + 0.155820i \(0.0498021\pi\)
\(164\) 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 0.0439461 0.999034i \(-0.486007\pi\)
0.382986 + 0.923754i \(0.374896\pi\)
\(168\) 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 0.825860 + 0.563876i \(0.190690\pi\)
−0.968911 + 0.247409i \(0.920421\pi\)
\(174\) 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 \(-0.927135\pi\)
0.973914 0.226918i \(-0.0728651\pi\)
\(180\) −0.161424 0.192377i −0.0120318 0.0143390i
\(181\) −20.2540 7.37185i −1.50547 0.547945i −0.547997 0.836480i \(-0.684610\pi\)
−0.957469 + 0.288535i \(0.906832\pi\)
\(182\) −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 \(-0.922933\pi\)
0.970834 0.239754i \(-0.0770668\pi\)
\(192\) 1.17365 0.984808i 0.0847008 0.0710724i
\(193\) −19.7925 11.4272i −1.42469 0.822548i −0.428000 0.903779i \(-0.640782\pi\)
−0.996695 + 0.0812309i \(0.974115\pi\)
\(194\) 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 0.746488 + 0.665398i \(0.231738\pi\)
−0.929049 + 0.369956i \(0.879373\pi\)
\(198\) −0.577006 + 1.58531i −0.0410061 + 0.112663i
\(199\) −1.27720 + 0.737389i −0.0905380 + 0.0522721i −0.544585 0.838705i \(-0.683313\pi\)
0.454047 + 0.890978i \(0.349980\pi\)
\(200\) 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 −0.821375 0.570389i \(-0.806793\pi\)
0.904658 + 0.426137i \(0.140126\pi\)
\(212\) −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 −0.993619 0.112785i \(-0.964023\pi\)
0.0614692 0.998109i \(-0.480421\pi\)
\(228\) 9.17075i 0.607348i
\(229\) −3.25576 + 2.73191i −0.215147 + 0.180530i −0.743992 0.668189i \(-0.767070\pi\)
0.528845 + 0.848719i \(0.322625\pi\)
\(230\) −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 0.428619 + 0.903485i \(0.359000\pi\)
−0.996751 + 0.0805473i \(0.974333\pi\)
\(234\) −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 −0.959197 0.282738i \(-0.908757\pi\)
0.553047 0.833150i \(-0.313465\pi\)
\(240\) −0.580523 + 0.102362i −0.0374726 + 0.00660742i
\(241\) 23.1096 4.07485i 1.48862 0.262484i 0.630604 0.776105i \(-0.282807\pi\)
0.858017 + 0.513621i \(0.171696\pi\)
\(242\) 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 0.657405 0.753537i \(-0.271654\pi\)
−0.323879 + 0.946098i \(0.604987\pi\)
\(252\) −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 0.305567 0.952170i \(-0.401154\pi\)
−0.0385222 + 0.999258i \(0.512265\pi\)
\(258\) −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 0.456814 0.889562i \(-0.348991\pi\)
−0.221860 + 0.975079i \(0.571213\pi\)
\(264\) 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 0.700293 0.713856i \(-0.253053\pi\)
−0.968364 + 0.249544i \(0.919719\pi\)
\(270\) −1.07659 + 1.86472i −0.0655194 + 0.113483i
\(271\) −2.24218 + 12.7160i −0.136203 + 0.772444i 0.837812 + 0.545959i \(0.183835\pi\)
−0.974015 + 0.226485i \(0.927276\pi\)
\(272\) 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 0.0612280 0.998124i \(-0.480498\pi\)
0.398914 + 0.916988i \(0.369387\pi\)
\(278\) −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 −0.761568 0.648085i \(-0.775570\pi\)
0.770484 + 0.637459i \(0.220015\pi\)
\(282\) −6.93811 + 4.00572i −0.413158 + 0.238537i
\(283\) −4.38915 + 12.0591i −0.260908 + 0.716838i 0.738199 + 0.674583i \(0.235676\pi\)
−0.999107 + 0.0422550i \(0.986546\pi\)
\(284\) −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 −0.808570 0.588400i \(-0.799758\pi\)
0.558563 0.829462i \(-0.311353\pi\)
\(294\) −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 −0.947628 0.319377i \(-0.896526\pi\)
0.750403 + 0.660981i \(0.229860\pi\)
\(308\) 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 −0.734970 0.678100i \(-0.762804\pi\)
0.795424 + 0.606053i \(0.207248\pi\)
\(312\) 1.60194 + 1.34419i 0.0906919 + 0.0760996i
\(313\) 8.87573 + 24.3859i 0.501686 + 1.37837i 0.889628 + 0.456687i \(0.150964\pi\)
−0.387942 + 0.921684i \(0.626814\pi\)
\(314\) 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 0.365097 0.930969i \(-0.381036\pi\)
−0.853427 + 0.521212i \(0.825480\pi\)
\(318\) −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 −0.184970 0.982744i \(-0.559219\pi\)
−0.509933 + 0.860214i \(0.670330\pi\)
\(332\) 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 0.191666 0.981460i \(-0.438611\pi\)
−0.484045 + 0.875043i \(0.660833\pi\)
\(338\) 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 0.503593 0.863941i \(-0.332011\pi\)
0.999991 0.00415382i \(-0.00132221\pi\)
\(348\) 3.16416 3.77090i 0.169617 0.202141i
\(349\) −19.0990 16.0260i −1.02235 0.857852i −0.0324270 0.999474i \(-0.510324\pi\)
−0.989921 + 0.141622i \(0.954768\pi\)
\(350\) 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 0.993160 0.116762i \(-0.0372513\pi\)
−0.835858 + 0.548946i \(0.815029\pi\)
\(354\) −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 −0.912435 0.409221i \(-0.865800\pi\)
0.810614 + 0.585581i \(0.199134\pi\)
\(360\) −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 0.994815 + 0.101704i \(0.0324294\pi\)
−0.900035 + 0.435817i \(0.856460\pi\)
\(368\) 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 0.996496 + 0.0836434i \(0.0266557\pi\)
−0.907792 + 0.419421i \(0.862233\pi\)
\(374\) 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 −0.401207 0.915987i \(-0.631409\pi\)
0.281443 + 0.959578i \(0.409187\pi\)
\(380\) 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 −0.488199 0.872733i \(-0.662346\pi\)
0.934963 0.354744i \(-0.115432\pi\)
\(384\) 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 −0.330525 0.943797i \(-0.607226\pi\)
0.0122057 + 0.999926i \(0.496115\pi\)
\(390\) −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 0.763609 + 0.645679i \(0.223426\pi\)
0.177370 + 0.984144i \(0.443241\pi\)
\(398\) −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 \(-0.659168\pi\)
0.479462 0.877563i \(-0.340832\pi\)
\(402\) 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 0.184612 0.982811i \(-0.440897\pi\)
−0.162663 + 0.986682i \(0.552008\pi\)
\(410\) −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 0.848393 + 0.529367i \(0.177571\pi\)
−0.978283 + 0.207275i \(0.933541\pi\)
\(420\) 0.658094 1.80810i 0.0321117 0.0882262i
\(421\) −19.3959 + 11.1982i −0.945299 + 0.545769i −0.891617 0.452789i \(-0.850429\pi\)
−0.0536815 + 0.998558i \(0.517096\pi\)
\(422\) 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 −0.940531 0.339709i \(-0.889671\pi\)
0.938849 + 0.344329i \(0.111894\pi\)
\(432\) 0.971782 5.51125i 0.0467549 0.265160i
\(433\) −3.96357 + 6.86510i −0.190477 + 0.329916i −0.945408 0.325888i \(-0.894337\pi\)
0.754931 + 0.655804i \(0.227670\pi\)
\(434\) −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 0.869567 0.493815i \(-0.164398\pi\)
−0.637311 + 0.770607i \(0.719953\pi\)
\(440\) 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 −0.998985 0.0450373i \(-0.985659\pi\)
0.129119 0.991629i \(-0.458785\pi\)
\(450\) 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 −0.938849 0.344329i \(-0.888106\pi\)
0.940531 + 0.339709i \(0.110329\pi\)
\(458\) −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 0.970585 + 0.240759i \(0.0773964\pi\)
−0.588754 + 0.808312i \(0.700381\pi\)
\(462\) −12.7297 + 2.24458i −0.592238 + 0.104427i
\(463\) −20.4361 + 3.60344i −0.949747 + 0.167466i −0.627000 0.779019i \(-0.715717\pi\)
−0.322747 + 0.946485i \(0.604606\pi\)
\(464\) 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 −0.106705 0.994291i \(-0.534030\pi\)
0.807728 + 0.589555i \(0.200697\pi\)
\(468\) −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 0.0166894 0.999861i \(-0.494687\pi\)
−0.326290 + 0.945270i \(0.605798\pi\)
\(480\) −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 \(-0.987678\pi\)
0.999251 0.0387007i \(-0.0123219\pi\)
\(488\) −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 0.720924 0.693014i \(-0.243718\pi\)
−0.960630 + 0.277831i \(0.910384\pi\)
\(492\) 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 0.676306 0.736621i \(-0.263580\pi\)
0.887459 + 0.460887i \(0.152469\pi\)
\(500\) −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 0.136975 + 0.990574i \(0.456262\pi\)
−0.999311 + 0.0371171i \(0.988183\pi\)
\(504\) −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 0.212513 0.977158i \(-0.431835\pi\)
0.790900 + 0.611946i \(0.209613\pi\)
\(510\) 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 0.981824 0.189794i \(-0.0607822\pi\)
−0.987526 + 0.157455i \(0.949671\pi\)
\(522\) 1.97065 + 0.717257i 0.0862528 + 0.0313935i
\(523\) 1.31038 + 1.56165i 0.0572989 + 0.0682862i 0.793933 0.608006i \(-0.208030\pi\)
−0.736634 + 0.676292i \(0.763586\pi\)
\(524\) 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 −0.952976 0.303046i \(-0.901996\pi\)
−0.214042 + 0.976824i \(0.568663\pi\)
\(542\) −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 0.797089 0.603862i \(-0.206372\pi\)
−0.124415 + 0.992230i \(0.539706\pi\)
\(548\) 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 0.811041 0.584989i \(-0.198901\pi\)
0.562051 + 0.827102i \(0.310012\pi\)
\(558\) 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 0.971493 0.237068i \(-0.0761864\pi\)
0.280440 + 0.959872i \(0.409520\pi\)
\(564\) −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 −0.0626186 0.998038i \(-0.519945\pi\)
0.833017 + 0.553248i \(0.186612\pi\)
\(570\) 2.26807 2.70298i 0.0949989 0.113215i
\(571\) 12.5989 + 10.5717i 0.527247 + 0.442413i 0.867150 0.498048i \(-0.165950\pi\)
−0.339902 + 0.940461i \(0.610394\pi\)
\(572\) −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 0.0154162 + 0.999881i \(0.495093\pi\)
−0.987368 + 0.158446i \(0.949352\pi\)
\(578\) 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 0.982449 + 0.186532i \(0.0597249\pi\)
0.0130981 + 0.999914i \(0.495831\pi\)
\(588\) −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 −0.993444 0.114317i \(-0.963532\pi\)
−0.0599300 + 0.998203i \(0.519088\pi\)
\(600\) −6.43772 3.71682i −0.262819 0.151739i
\(601\) 40.2252 14.6408i 1.64082 0.597209i 0.653637 0.756808i \(-0.273242\pi\)
0.987182 + 0.159599i \(0.0510202\pi\)
\(602\) 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 −0.691346 0.722524i \(-0.742982\pi\)
0.831598 + 0.555378i \(0.187426\pi\)
\(608\) −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 −0.0426623 0.999090i \(-0.513584\pi\)
−0.991319 + 0.131476i \(0.958028\pi\)
\(614\) −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 −0.997372 0.0724469i \(-0.976919\pi\)
0.962002 + 0.273044i \(0.0880303\pi\)
\(618\) 8.30861 14.3909i 0.334221 0.578888i
\(619\) −17.8909 30.9879i −0.719096 1.24551i −0.961358 0.275300i \(-0.911223\pi\)
0.242263 0.970211i \(-0.422110\pi\)
\(620\) 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 0.301921 0.953333i \(-0.402372\pi\)
−0.0423458 + 0.999103i \(0.513483\pi\)
\(632\) 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 0.578361 + 0.815781i \(0.303693\pi\)
−0.822495 + 0.568772i \(0.807418\pi\)
\(642\) 2.49405 6.85234i 0.0984322 0.270440i
\(643\) 4.34087 2.50620i 0.171187 0.0988350i −0.411958 0.911203i \(-0.635155\pi\)
0.583146 + 0.812368i \(0.301822\pi\)
\(644\) −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 −0.807920 0.589292i \(-0.799407\pi\)
−0.557647 + 0.830078i \(0.688296\pi\)
\(648\) −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 −0.920272 0.391279i \(-0.872033\pi\)
0.956479 + 0.291802i \(0.0942549\pi\)
\(654\) 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 −0.124240 0.992252i \(-0.539649\pi\)
0.955604 + 0.294655i \(0.0952049\pi\)
\(660\) 1.52363i 0.0593074i
\(661\) −6.82156 8.12962i −0.265328 0.316205i 0.616888 0.787051i \(-0.288393\pi\)
−0.882216 + 0.470846i \(0.843949\pi\)
\(662\) −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 −0.652442 0.757839i \(-0.726255\pi\)
0.633030 + 0.774127i \(0.281811\pi\)
\(674\) −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 −0.375306 0.926901i \(-0.622462\pi\)
0.990373 0.138426i \(-0.0442043\pi\)
\(678\) −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 0.910800 0.412848i \(-0.135466\pi\)
−0.963087 + 0.269191i \(0.913244\pi\)
\(684\) −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 −0.995879 0.0906920i \(-0.971092\pi\)
0.966839 + 0.255388i \(0.0822032\pi\)
\(692\) −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 0.434082 0.900873i \(-0.357073\pi\)
0.0997873 + 0.995009i \(0.468184\pi\)
\(702\) 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 \(-0.958793\pi\)
0.991632 0.129093i \(-0.0412067\pi\)
\(710\) 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 0.365037 0.930993i \(-0.381056\pi\)
−0.853461 + 0.521157i \(0.825501\pi\)
\(720\) −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 0.305206 + 0.952286i \(0.401275\pi\)
−0.845919 + 0.533311i \(0.820948\pi\)
\(728\) 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 0.206447 0.978458i \(-0.433810\pi\)
0.999442 0.0334033i \(-0.0106346\pi\)
\(734\) 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 −0.998042 0.0625538i \(-0.980076\pi\)
0.916458 0.400132i \(-0.131036\pi\)
\(744\) 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 0.0379668 0.999279i \(-0.487912\pi\)
0.846418 0.532520i \(-0.178755\pi\)
\(752\) 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 0.962535 + 0.271156i \(0.0874060\pi\)
−0.563049 + 0.826424i \(0.690372\pi\)
\(758\) −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 0.775349 0.631533i \(-0.217574\pi\)
−0.487300 + 0.873235i \(0.662018\pi\)
\(762\) 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 0.925305 0.379225i \(-0.123809\pi\)
0.134234 + 0.990950i \(0.457143\pi\)
\(770\) −2.48668 + 2.08657i −0.0896136 + 0.0751947i