Properties

Label 192.2.r.a.157.4
Level $192$
Weight $2$
Character 192.157
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 157.4
Character \(\chi\) \(=\) 192.157
Dual form 192.2.r.a.181.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.968996 - 1.03007i) q^{2} +(-0.980785 - 0.195090i) q^{3} +(-0.122095 + 1.99627i) q^{4} +(-0.0578655 + 0.0866018i) q^{5} +(0.749420 + 1.19932i) q^{6} +(2.40918 - 0.997914i) q^{7} +(2.17461 - 1.80861i) q^{8} +(0.923880 + 0.382683i) q^{9} +O(q^{10})\) \(q+(-0.968996 - 1.03007i) q^{2} +(-0.980785 - 0.195090i) q^{3} +(-0.122095 + 1.99627i) q^{4} +(-0.0578655 + 0.0866018i) q^{5} +(0.749420 + 1.19932i) q^{6} +(2.40918 - 0.997914i) q^{7} +(2.17461 - 1.80861i) q^{8} +(0.923880 + 0.382683i) q^{9} +(0.145277 - 0.0243112i) q^{10} +(-1.19134 - 5.98928i) q^{11} +(0.509201 - 1.93409i) q^{12} +(-0.590429 - 0.883640i) q^{13} +(-3.36241 - 1.51465i) q^{14} +(0.0736488 - 0.0736488i) q^{15} +(-3.97019 - 0.487467i) q^{16} +(0.156557 + 0.156557i) q^{17} +(-0.501044 - 1.32248i) q^{18} +(3.11498 - 2.08136i) q^{19} +(-0.165815 - 0.126089i) q^{20} +(-2.55757 + 0.508732i) q^{21} +(-5.01498 + 7.03075i) q^{22} +(0.522992 - 1.26261i) q^{23} +(-2.48567 + 1.34961i) q^{24} +(1.90927 + 4.60938i) q^{25} +(-0.338089 + 1.46443i) q^{26} +(-0.831470 - 0.555570i) q^{27} +(1.69796 + 4.93121i) q^{28} +(1.10294 - 5.54486i) q^{29} +(-0.147229 - 0.00449815i) q^{30} -7.51090i q^{31} +(3.34497 + 4.56193i) q^{32} +6.10661i q^{33} +(0.00956183 - 0.312967i) q^{34} +(-0.0529870 + 0.266384i) q^{35} +(-0.876740 + 1.79759i) q^{36} +(6.15643 + 4.11359i) q^{37} +(-5.16235 - 1.19182i) q^{38} +(0.406695 + 0.981848i) q^{39} +(0.0307941 + 0.292981i) q^{40} +(-1.10300 + 2.66288i) q^{41} +(3.00230 + 2.14152i) q^{42} +(-6.90045 + 1.37259i) q^{43} +(12.1017 - 1.64698i) q^{44} +(-0.0866018 + 0.0578655i) q^{45} +(-1.80736 + 0.684749i) q^{46} +(8.09343 + 8.09343i) q^{47} +(3.79880 + 1.25265i) q^{48} +(-0.141442 + 0.141442i) q^{49} +(2.89792 - 6.43314i) q^{50} +(-0.123006 - 0.184091i) q^{51} +(1.83607 - 1.07077i) q^{52} +(0.714576 + 3.59242i) q^{53} +(0.233413 + 1.39482i) q^{54} +(0.587620 + 0.243400i) q^{55} +(3.43418 - 6.52734i) q^{56} +(-3.46118 + 1.43367i) q^{57} +(-6.78035 + 4.23684i) q^{58} +(-6.55240 + 9.80637i) q^{59} +(0.138031 + 0.156015i) q^{60} +(-2.79372 - 0.555706i) q^{61} +(-7.73677 + 7.27803i) q^{62} +2.60768 q^{63} +(1.45785 - 7.86604i) q^{64} +0.110690 q^{65} +(6.29025 - 5.91728i) q^{66} +(0.861590 + 0.171381i) q^{67} +(-0.331644 + 0.293415i) q^{68} +(-0.759267 + 1.13632i) q^{69} +(0.325739 - 0.203544i) q^{70} +(-7.68026 + 3.18127i) q^{71} +(2.70120 - 0.838751i) q^{72} +(-5.79305 - 2.39956i) q^{73} +(-1.72826 - 10.3276i) q^{74} +(-0.973335 - 4.89329i) q^{75} +(3.77464 + 6.47246i) q^{76} +(-8.84694 - 13.2404i) q^{77} +(0.617288 - 1.37033i) q^{78} +(12.1997 - 12.1997i) q^{79} +(0.271952 - 0.315618i) q^{80} +(0.707107 + 0.707107i) q^{81} +(3.81176 - 1.44415i) q^{82} +(-7.21688 + 4.82216i) q^{83} +(-0.703301 - 5.16771i) q^{84} +(-0.0226173 + 0.00449886i) q^{85} +(8.10037 + 5.77793i) q^{86} +(-2.16350 + 5.22315i) q^{87} +(-13.4230 - 10.8697i) q^{88} +(3.71504 + 8.96891i) q^{89} +(0.143522 + 0.0331346i) q^{90} +(-2.30425 - 1.53965i) q^{91} +(2.45667 + 1.19819i) q^{92} +(-1.46530 + 7.36658i) q^{93} +(0.494313 - 16.1793i) q^{94} +0.390202i q^{95} +(-2.39071 - 5.12684i) q^{96} +4.45536i q^{97} +(0.282751 + 0.00863866i) q^{98} +(1.19134 - 5.98928i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{11}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.968996 1.03007i −0.685183 0.728371i
\(3\) −0.980785 0.195090i −0.566257 0.112635i
\(4\) −0.122095 + 1.99627i −0.0610473 + 0.998135i
\(5\) −0.0578655 + 0.0866018i −0.0258782 + 0.0387295i −0.844183 0.536055i \(-0.819914\pi\)
0.818305 + 0.574784i \(0.194914\pi\)
\(6\) 0.749420 + 1.19932i 0.305949 + 0.489621i
\(7\) 2.40918 0.997914i 0.910584 0.377176i 0.122304 0.992493i \(-0.460972\pi\)
0.788280 + 0.615317i \(0.210972\pi\)
\(8\) 2.17461 1.80861i 0.768841 0.639440i
\(9\) 0.923880 + 0.382683i 0.307960 + 0.127561i
\(10\) 0.145277 0.0243112i 0.0459407 0.00768787i
\(11\) −1.19134 5.98928i −0.359203 1.80584i −0.562589 0.826737i \(-0.690195\pi\)
0.203386 0.979099i \(-0.434805\pi\)
\(12\) 0.509201 1.93409i 0.146994 0.558324i
\(13\) −0.590429 0.883640i −0.163756 0.245078i 0.740513 0.672042i \(-0.234583\pi\)
−0.904268 + 0.426965i \(0.859583\pi\)
\(14\) −3.36241 1.51465i −0.898641 0.404808i
\(15\) 0.0736488 0.0736488i 0.0190160 0.0190160i
\(16\) −3.97019 0.487467i −0.992546 0.121867i
\(17\) 0.156557 + 0.156557i 0.0379706 + 0.0379706i 0.725837 0.687867i \(-0.241453\pi\)
−0.687867 + 0.725837i \(0.741453\pi\)
\(18\) −0.501044 1.32248i −0.118097 0.311712i
\(19\) 3.11498 2.08136i 0.714625 0.477497i −0.144342 0.989528i \(-0.546107\pi\)
0.858967 + 0.512031i \(0.171107\pi\)
\(20\) −0.165815 0.126089i −0.0370775 0.0281943i
\(21\) −2.55757 + 0.508732i −0.558107 + 0.111014i
\(22\) −5.01498 + 7.03075i −1.06920 + 1.49896i
\(23\) 0.522992 1.26261i 0.109051 0.263273i −0.859928 0.510416i \(-0.829492\pi\)
0.968979 + 0.247142i \(0.0794915\pi\)
\(24\) −2.48567 + 1.34961i −0.507385 + 0.275489i
\(25\) 1.90927 + 4.60938i 0.381853 + 0.921875i
\(26\) −0.338089 + 1.46443i −0.0663047 + 0.287198i
\(27\) −0.831470 0.555570i −0.160016 0.106920i
\(28\) 1.69796 + 4.93121i 0.320884 + 0.931911i
\(29\) 1.10294 5.54486i 0.204811 1.02965i −0.732395 0.680880i \(-0.761598\pi\)
0.937206 0.348775i \(-0.113402\pi\)
\(30\) −0.147229 0.00449815i −0.0268802 0.000821247i
\(31\) 7.51090i 1.34900i −0.738276 0.674499i \(-0.764360\pi\)
0.738276 0.674499i \(-0.235640\pi\)
\(32\) 3.34497 + 4.56193i 0.591312 + 0.806443i
\(33\) 6.10661i 1.06303i
\(34\) 0.00956183 0.312967i 0.00163984 0.0536735i
\(35\) −0.0529870 + 0.266384i −0.00895644 + 0.0450271i
\(36\) −0.876740 + 1.79759i −0.146123 + 0.299598i
\(37\) 6.15643 + 4.11359i 1.01211 + 0.676271i 0.946876 0.321599i \(-0.104220\pi\)
0.0652347 + 0.997870i \(0.479220\pi\)
\(38\) −5.16235 1.19182i −0.837444 0.193339i
\(39\) 0.406695 + 0.981848i 0.0651233 + 0.157222i
\(40\) 0.0307941 + 0.292981i 0.00486898 + 0.0463244i
\(41\) −1.10300 + 2.66288i −0.172260 + 0.415872i −0.986305 0.164929i \(-0.947260\pi\)
0.814046 + 0.580801i \(0.197260\pi\)
\(42\) 3.00230 + 2.14152i 0.463266 + 0.330444i
\(43\) −6.90045 + 1.37259i −1.05231 + 0.209317i −0.690796 0.723050i \(-0.742740\pi\)
−0.361513 + 0.932367i \(0.617740\pi\)
\(44\) 12.1017 1.64698i 1.82440 0.248292i
\(45\) −0.0866018 + 0.0578655i −0.0129098 + 0.00862607i
\(46\) −1.80736 + 0.684749i −0.266481 + 0.100961i
\(47\) 8.09343 + 8.09343i 1.18055 + 1.18055i 0.979602 + 0.200946i \(0.0644015\pi\)
0.200946 + 0.979602i \(0.435598\pi\)
\(48\) 3.79880 + 1.25265i 0.548309 + 0.180804i
\(49\) −0.141442 + 0.141442i −0.0202060 + 0.0202060i
\(50\) 2.89792 6.43314i 0.409827 0.909784i
\(51\) −0.123006 0.184091i −0.0172243 0.0257779i
\(52\) 1.83607 1.07077i 0.254617 0.148489i
\(53\) 0.714576 + 3.59242i 0.0981546 + 0.493456i 0.998322 + 0.0579118i \(0.0184442\pi\)
−0.900167 + 0.435545i \(0.856556\pi\)
\(54\) 0.233413 + 1.39482i 0.0317635 + 0.189811i
\(55\) 0.587620 + 0.243400i 0.0792346 + 0.0328201i
\(56\) 3.43418 6.52734i 0.458912 0.872252i
\(57\) −3.46118 + 1.43367i −0.458444 + 0.189894i
\(58\) −6.78035 + 4.23684i −0.890303 + 0.556324i
\(59\) −6.55240 + 9.80637i −0.853050 + 1.27668i 0.106263 + 0.994338i \(0.466111\pi\)
−0.959314 + 0.282342i \(0.908889\pi\)
\(60\) 0.138031 + 0.156015i 0.0178197 + 0.0201414i
\(61\) −2.79372 0.555706i −0.357699 0.0711508i 0.0129695 0.999916i \(-0.495872\pi\)
−0.370669 + 0.928765i \(0.620872\pi\)
\(62\) −7.73677 + 7.27803i −0.982570 + 0.924311i
\(63\) 2.60768 0.328536
\(64\) 1.45785 7.86604i 0.182232 0.983256i
\(65\) 0.110690 0.0137294
\(66\) 6.29025 5.91728i 0.774276 0.728367i
\(67\) 0.861590 + 0.171381i 0.105260 + 0.0209375i 0.247439 0.968903i \(-0.420411\pi\)
−0.142179 + 0.989841i \(0.545411\pi\)
\(68\) −0.331644 + 0.293415i −0.0402178 + 0.0355818i
\(69\) −0.759267 + 1.13632i −0.0914050 + 0.136797i
\(70\) 0.325739 0.203544i 0.0389332 0.0243282i
\(71\) −7.68026 + 3.18127i −0.911480 + 0.377547i −0.788623 0.614877i \(-0.789206\pi\)
−0.122857 + 0.992424i \(0.539206\pi\)
\(72\) 2.70120 0.838751i 0.318340 0.0988478i
\(73\) −5.79305 2.39956i −0.678025 0.280847i 0.0169762 0.999856i \(-0.494596\pi\)
−0.695001 + 0.719009i \(0.744596\pi\)
\(74\) −1.72826 10.3276i −0.200906 1.20056i
\(75\) −0.973335 4.89329i −0.112391 0.565028i
\(76\) 3.77464 + 6.47246i 0.432981 + 0.742442i
\(77\) −8.84694 13.2404i −1.00820 1.50888i
\(78\) 0.617288 1.37033i 0.0698941 0.155159i
\(79\) 12.1997 12.1997i 1.37258 1.37258i 0.515972 0.856606i \(-0.327431\pi\)
0.856606 0.515972i \(-0.172569\pi\)
\(80\) 0.271952 0.315618i 0.0304052 0.0352871i
\(81\) 0.707107 + 0.707107i 0.0785674 + 0.0785674i
\(82\) 3.81176 1.44415i 0.420938 0.159479i
\(83\) −7.21688 + 4.82216i −0.792155 + 0.529301i −0.884563 0.466420i \(-0.845544\pi\)
0.0924083 + 0.995721i \(0.470544\pi\)
\(84\) −0.703301 5.16771i −0.0767365 0.563844i
\(85\) −0.0226173 + 0.00449886i −0.00245319 + 0.000487970i
\(86\) 8.10037 + 5.77793i 0.873485 + 0.623050i
\(87\) −2.16350 + 5.22315i −0.231951 + 0.559980i
\(88\) −13.4230 10.8697i −1.43089 1.15871i
\(89\) 3.71504 + 8.96891i 0.393794 + 0.950703i 0.989106 + 0.147208i \(0.0470286\pi\)
−0.595312 + 0.803495i \(0.702971\pi\)
\(90\) 0.143522 + 0.0331346i 0.0151286 + 0.00349270i
\(91\) −2.30425 1.53965i −0.241551 0.161399i
\(92\) 2.45667 + 1.19819i 0.256125 + 0.124920i
\(93\) −1.46530 + 7.36658i −0.151945 + 0.763879i
\(94\) 0.494313 16.1793i 0.0509844 1.66877i
\(95\) 0.390202i 0.0400338i
\(96\) −2.39071 5.12684i −0.244000 0.523256i
\(97\) 4.45536i 0.452373i 0.974084 + 0.226187i \(0.0726259\pi\)
−0.974084 + 0.226187i \(0.927374\pi\)
\(98\) 0.282751 + 0.00863866i 0.0285622 + 0.000872637i
\(99\) 1.19134 5.98928i 0.119734 0.601945i
\(100\) −9.43467 + 3.24863i −0.943467 + 0.324863i
\(101\) −3.41655 2.28287i −0.339960 0.227154i 0.373857 0.927486i \(-0.378035\pi\)
−0.713817 + 0.700332i \(0.753035\pi\)
\(102\) −0.0704350 + 0.305088i −0.00697411 + 0.0302083i
\(103\) 2.17448 + 5.24967i 0.214258 + 0.517265i 0.994069 0.108750i \(-0.0346848\pi\)
−0.779811 + 0.626015i \(0.784685\pi\)
\(104\) −2.88211 0.853715i −0.282614 0.0837136i
\(105\) 0.103938 0.250928i 0.0101433 0.0244881i
\(106\) 3.00803 4.21710i 0.292165 0.409601i
\(107\) −11.2525 + 2.23826i −1.08782 + 0.216380i −0.706251 0.707961i \(-0.749615\pi\)
−0.381566 + 0.924342i \(0.624615\pi\)
\(108\) 1.21059 1.59201i 0.116489 0.153191i
\(109\) 16.1319 10.7790i 1.54516 1.03244i 0.567216 0.823569i \(-0.308020\pi\)
0.977943 0.208873i \(-0.0669796\pi\)
\(110\) −0.318681 0.841144i −0.0303851 0.0801999i
\(111\) −5.23561 5.23561i −0.496942 0.496942i
\(112\) −10.0513 + 2.78751i −0.949762 + 0.263395i
\(113\) 9.58614 9.58614i 0.901788 0.901788i −0.0938024 0.995591i \(-0.529902\pi\)
0.995591 + 0.0938024i \(0.0299022\pi\)
\(114\) 4.83065 + 2.17604i 0.452432 + 0.203805i
\(115\) 0.0790815 + 0.118354i 0.00737439 + 0.0110366i
\(116\) 10.9344 + 2.87877i 1.01523 + 0.267287i
\(117\) −0.207331 1.04232i −0.0191678 0.0963629i
\(118\) 16.4505 2.75288i 1.51439 0.253423i
\(119\) 0.533403 + 0.220943i 0.0488970 + 0.0202538i
\(120\) 0.0269554 0.293359i 0.00246068 0.0267799i
\(121\) −24.2895 + 10.0610i −2.20813 + 0.914639i
\(122\) 2.13469 + 3.41621i 0.193266 + 0.309289i
\(123\) 1.60131 2.39653i 0.144385 0.216087i
\(124\) 14.9938 + 0.917040i 1.34648 + 0.0823527i
\(125\) −1.02043 0.202976i −0.0912700 0.0181547i
\(126\) −2.52683 2.68609i −0.225108 0.239296i
\(127\) −6.14421 −0.545211 −0.272605 0.962126i \(-0.587885\pi\)
−0.272605 + 0.962126i \(0.587885\pi\)
\(128\) −9.51524 + 6.12047i −0.841037 + 0.540978i
\(129\) 7.03564 0.619454
\(130\) −0.107258 0.114019i −0.00940718 0.0100001i
\(131\) 21.8598 + 4.34818i 1.90990 + 0.379902i 0.999432 0.0336880i \(-0.0107253\pi\)
0.910463 + 0.413590i \(0.135725\pi\)
\(132\) −12.1905 0.745585i −1.06104 0.0648948i
\(133\) 5.42752 8.12285i 0.470625 0.704341i
\(134\) −0.658342 1.05357i −0.0568721 0.0910143i
\(135\) 0.0962267 0.0398584i 0.00828188 0.00343047i
\(136\) 0.623600 + 0.0572996i 0.0534733 + 0.00491340i
\(137\) 1.03505 + 0.428733i 0.0884306 + 0.0366292i 0.426460 0.904506i \(-0.359760\pi\)
−0.338030 + 0.941135i \(0.609760\pi\)
\(138\) 1.90622 0.318993i 0.162268 0.0271545i
\(139\) 0.0859774 + 0.432238i 0.00729251 + 0.0366619i 0.984260 0.176725i \(-0.0565504\pi\)
−0.976968 + 0.213387i \(0.931550\pi\)
\(140\) −0.525305 0.138300i −0.0443963 0.0116885i
\(141\) −6.35897 9.51687i −0.535522 0.801465i
\(142\) 10.7191 + 4.82858i 0.899525 + 0.405206i
\(143\) −4.58896 + 4.58896i −0.383748 + 0.383748i
\(144\) −3.48143 1.96969i −0.290119 0.164140i
\(145\) 0.416373 + 0.416373i 0.0345779 + 0.0345779i
\(146\) 3.14172 + 8.29241i 0.260011 + 0.686285i
\(147\) 0.166318 0.111130i 0.0137177 0.00916585i
\(148\) −8.96351 + 11.7876i −0.736796 + 0.968938i
\(149\) −1.73812 + 0.345733i −0.142392 + 0.0283235i −0.265772 0.964036i \(-0.585627\pi\)
0.123380 + 0.992360i \(0.460627\pi\)
\(150\) −4.09728 + 5.74418i −0.334541 + 0.469010i
\(151\) 3.30725 7.98442i 0.269140 0.649763i −0.730303 0.683123i \(-0.760621\pi\)
0.999443 + 0.0333609i \(0.0106211\pi\)
\(152\) 3.00949 10.1599i 0.244102 0.824080i
\(153\) 0.0847279 + 0.204551i 0.00684984 + 0.0165370i
\(154\) −5.06589 + 21.9429i −0.408221 + 1.76821i
\(155\) 0.650457 + 0.434622i 0.0522460 + 0.0349097i
\(156\) −2.00969 + 0.691994i −0.160904 + 0.0554039i
\(157\) −1.93611 + 9.73350i −0.154519 + 0.776817i 0.823340 + 0.567549i \(0.192108\pi\)
−0.977858 + 0.209268i \(0.932892\pi\)
\(158\) −24.3881 0.745108i −1.94021 0.0592776i
\(159\) 3.66280i 0.290479i
\(160\) −0.588629 + 0.0257019i −0.0465352 + 0.00203192i
\(161\) 3.56377i 0.280864i
\(162\) 0.0431871 1.41355i 0.00339310 0.111059i
\(163\) −3.84061 + 19.3080i −0.300819 + 1.51232i 0.474219 + 0.880407i \(0.342731\pi\)
−0.775038 + 0.631915i \(0.782269\pi\)
\(164\) −5.18115 2.52701i −0.404580 0.197326i
\(165\) −0.528844 0.353362i −0.0411704 0.0275092i
\(166\) 11.9603 + 2.76124i 0.928299 + 0.214314i
\(167\) 7.56540 + 18.2645i 0.585429 + 1.41335i 0.887831 + 0.460169i \(0.152211\pi\)
−0.302403 + 0.953180i \(0.597789\pi\)
\(168\) −4.64162 + 5.73194i −0.358109 + 0.442229i
\(169\) 4.54267 10.9670i 0.349436 0.843614i
\(170\) 0.0265502 + 0.0189381i 0.00203631 + 0.00145248i
\(171\) 3.67437 0.730877i 0.280986 0.0558916i
\(172\) −1.89754 13.9427i −0.144686 1.06312i
\(173\) 12.4109 8.29271i 0.943584 0.630483i 0.0143196 0.999897i \(-0.495442\pi\)
0.929265 + 0.369415i \(0.120442\pi\)
\(174\) 7.47663 2.83265i 0.566802 0.214742i
\(175\) 9.19952 + 9.19952i 0.695418 + 0.695418i
\(176\) 1.81027 + 24.3593i 0.136454 + 1.83615i
\(177\) 8.33963 8.33963i 0.626845 0.626845i
\(178\) 5.63876 12.5176i 0.422643 0.938234i
\(179\) 5.05720 + 7.56864i 0.377993 + 0.565707i 0.970876 0.239582i \(-0.0770104\pi\)
−0.592883 + 0.805289i \(0.702010\pi\)
\(180\) −0.104941 0.179946i −0.00782187 0.0134124i
\(181\) 0.588792 + 2.96005i 0.0437645 + 0.220019i 0.996478 0.0838497i \(-0.0267215\pi\)
−0.952714 + 0.303869i \(0.901722\pi\)
\(182\) 0.646857 + 3.86545i 0.0479482 + 0.286526i
\(183\) 2.63163 + 1.09006i 0.194536 + 0.0805793i
\(184\) −1.14627 3.69158i −0.0845045 0.272147i
\(185\) −0.712489 + 0.295123i −0.0523832 + 0.0216978i
\(186\) 9.00798 5.62882i 0.660497 0.412725i
\(187\) 0.751149 1.12417i 0.0549295 0.0822078i
\(188\) −17.1448 + 15.1685i −1.25042 + 1.10628i
\(189\) −2.55757 0.508732i −0.186036 0.0370048i
\(190\) 0.401936 0.378104i 0.0291595 0.0274305i
\(191\) −1.48629 −0.107544 −0.0537722 0.998553i \(-0.517124\pi\)
−0.0537722 + 0.998553i \(0.517124\pi\)
\(192\) −2.96443 + 7.43049i −0.213939 + 0.536249i
\(193\) 10.6608 0.767383 0.383691 0.923461i \(-0.374653\pi\)
0.383691 + 0.923461i \(0.374653\pi\)
\(194\) 4.58934 4.31723i 0.329495 0.309959i
\(195\) −0.108563 0.0215946i −0.00777438 0.00154642i
\(196\) −0.265087 0.299625i −0.0189348 0.0214018i
\(197\) −4.94545 + 7.40139i −0.352349 + 0.527327i −0.964732 0.263234i \(-0.915211\pi\)
0.612383 + 0.790561i \(0.290211\pi\)
\(198\) −7.32379 + 4.57642i −0.520479 + 0.325232i
\(199\) −11.6882 + 4.84143i −0.828558 + 0.343200i −0.756332 0.654188i \(-0.773010\pi\)
−0.0722261 + 0.997388i \(0.523010\pi\)
\(200\) 12.4885 + 6.57047i 0.883068 + 0.464603i
\(201\) −0.811600 0.336176i −0.0572458 0.0237120i
\(202\) 0.959109 + 5.73139i 0.0674827 + 0.403259i
\(203\) −2.87611 14.4592i −0.201864 1.01484i
\(204\) 0.382514 0.223076i 0.0267813 0.0156185i
\(205\) −0.166784 0.249610i −0.0116487 0.0174335i
\(206\) 3.30047 7.32678i 0.229954 0.510481i
\(207\) 0.966364 0.966364i 0.0671669 0.0671669i
\(208\) 1.91337 + 3.79603i 0.132668 + 0.263207i
\(209\) −16.1769 16.1769i −1.11898 1.11898i
\(210\) −0.359189 + 0.136085i −0.0247864 + 0.00939075i
\(211\) −22.1280 + 14.7855i −1.52336 + 1.01787i −0.538873 + 0.842387i \(0.681150\pi\)
−0.984482 + 0.175487i \(0.943850\pi\)
\(212\) −7.25868 + 0.987872i −0.498528 + 0.0678473i
\(213\) 8.15332 1.62180i 0.558657 0.111124i
\(214\) 13.2092 + 9.42199i 0.902960 + 0.644074i
\(215\) 0.280429 0.677017i 0.0191251 0.0461721i
\(216\) −2.81293 + 0.295656i −0.191396 + 0.0201169i
\(217\) −7.49523 18.0951i −0.508810 1.22838i
\(218\) −26.7349 6.17223i −1.81072 0.418036i
\(219\) 5.21360 + 3.48362i 0.352303 + 0.235401i
\(220\) −0.557637 + 1.14333i −0.0375959 + 0.0770833i
\(221\) 0.0459041 0.230775i 0.00308784 0.0155236i
\(222\) −0.319769 + 10.4663i −0.0214615 + 0.702455i
\(223\) 26.5529i 1.77811i −0.457798 0.889056i \(-0.651362\pi\)
0.457798 0.889056i \(-0.348638\pi\)
\(224\) 12.6110 + 7.65251i 0.842610 + 0.511305i
\(225\) 4.98915i 0.332610i
\(226\) −19.1633 0.585481i −1.27473 0.0389456i
\(227\) 3.29351 16.5576i 0.218598 1.09896i −0.703111 0.711081i \(-0.748206\pi\)
0.921708 0.387884i \(-0.126794\pi\)
\(228\) −2.43940 7.08449i −0.161553 0.469182i
\(229\) 16.5164 + 11.0359i 1.09143 + 0.729271i 0.964881 0.262689i \(-0.0846093\pi\)
0.126551 + 0.991960i \(0.459609\pi\)
\(230\) 0.0452833 0.196144i 0.00298589 0.0129333i
\(231\) 6.09388 + 14.7119i 0.400948 + 0.967973i
\(232\) −7.63003 14.0527i −0.500936 0.922605i
\(233\) 5.87995 14.1954i 0.385208 0.929975i −0.605732 0.795669i \(-0.707120\pi\)
0.990940 0.134306i \(-0.0428805\pi\)
\(234\) −0.872765 + 1.22357i −0.0570545 + 0.0799875i
\(235\) −1.16924 + 0.232575i −0.0762725 + 0.0151715i
\(236\) −18.7761 14.2777i −1.22222 0.929397i
\(237\) −14.3454 + 9.58527i −0.931832 + 0.622630i
\(238\) −0.289279 0.763536i −0.0187511 0.0494927i
\(239\) −1.18780 1.18780i −0.0768321 0.0768321i 0.667646 0.744479i \(-0.267302\pi\)
−0.744479 + 0.667646i \(0.767302\pi\)
\(240\) −0.328301 + 0.256498i −0.0211917 + 0.0165569i
\(241\) −11.8234 + 11.8234i −0.761611 + 0.761611i −0.976613 0.215003i \(-0.931024\pi\)
0.215003 + 0.976613i \(0.431024\pi\)
\(242\) 33.9000 + 15.2708i 2.17917 + 0.981645i
\(243\) −0.555570 0.831470i −0.0356398 0.0533388i
\(244\) 1.45044 5.50917i 0.0928547 0.352689i
\(245\) −0.00406451 0.0204337i −0.000259672 0.00130546i
\(246\) −4.02025 + 0.672762i −0.256322 + 0.0428938i
\(247\) −3.67835 1.52362i −0.234048 0.0969458i
\(248\) −13.5843 16.3333i −0.862604 1.03716i
\(249\) 8.01896 3.32156i 0.508181 0.210496i
\(250\) 0.779712 + 1.24780i 0.0493133 + 0.0789177i
\(251\) −1.01869 + 1.52458i −0.0642991 + 0.0962303i −0.862226 0.506524i \(-0.830930\pi\)
0.797927 + 0.602754i \(0.205930\pi\)
\(252\) −0.318383 + 5.20562i −0.0200562 + 0.327923i
\(253\) −8.18521 1.62814i −0.514600 0.102360i
\(254\) 5.95372 + 6.32898i 0.373569 + 0.397116i
\(255\) 0.0230604 0.00144410
\(256\) 15.5248 + 3.87067i 0.970297 + 0.241917i
\(257\) 20.0674 1.25177 0.625885 0.779915i \(-0.284738\pi\)
0.625885 + 0.779915i \(0.284738\pi\)
\(258\) −6.81750 7.24721i −0.424439 0.451192i
\(259\) 18.9369 + 3.76679i 1.17668 + 0.234057i
\(260\) −0.0135147 + 0.220968i −0.000838145 + 0.0137038i
\(261\) 3.14091 4.70071i 0.194418 0.290966i
\(262\) −16.7031 26.7305i −1.03192 1.65141i
\(263\) −5.83503 + 2.41695i −0.359804 + 0.149036i −0.555260 0.831677i \(-0.687381\pi\)
0.195456 + 0.980712i \(0.437381\pi\)
\(264\) 11.0445 + 13.2795i 0.679741 + 0.817297i
\(265\) −0.352459 0.145993i −0.0216514 0.00896830i
\(266\) −13.6264 + 2.28028i −0.835486 + 0.139813i
\(267\) −1.89391 9.52135i −0.115906 0.582697i
\(268\) −0.447318 + 1.69904i −0.0273243 + 0.103785i
\(269\) −11.0234 16.4976i −0.672106 1.00588i −0.998166 0.0605284i \(-0.980721\pi\)
0.326061 0.945349i \(-0.394279\pi\)
\(270\) −0.134300 0.0604978i −0.00817326 0.00368178i
\(271\) −0.761367 + 0.761367i −0.0462497 + 0.0462497i −0.729853 0.683604i \(-0.760412\pi\)
0.683604 + 0.729853i \(0.260412\pi\)
\(272\) −0.545243 0.697876i −0.0330602 0.0423149i
\(273\) 1.95960 + 1.95960i 0.118600 + 0.118600i
\(274\) −0.561337 1.48162i −0.0339116 0.0895080i
\(275\) 25.3322 16.9265i 1.52759 1.02070i
\(276\) −2.17571 1.65444i −0.130962 0.0995856i
\(277\) −12.6691 + 2.52005i −0.761214 + 0.151415i −0.560409 0.828216i \(-0.689356\pi\)
−0.200805 + 0.979631i \(0.564356\pi\)
\(278\) 0.361924 0.507399i 0.0217068 0.0304318i
\(279\) 2.87430 6.93917i 0.172080 0.415437i
\(280\) 0.366559 + 0.675114i 0.0219061 + 0.0403458i
\(281\) −2.83645 6.84781i −0.169209 0.408506i 0.816414 0.577467i \(-0.195959\pi\)
−0.985623 + 0.168961i \(0.945959\pi\)
\(282\) −3.64124 + 15.7720i −0.216833 + 0.939209i
\(283\) 26.3005 + 17.5734i 1.56340 + 1.04463i 0.971027 + 0.238970i \(0.0768097\pi\)
0.592375 + 0.805662i \(0.298190\pi\)
\(284\) −5.41295 15.7203i −0.321200 0.932828i
\(285\) 0.0761246 0.382704i 0.00450923 0.0226694i
\(286\) 9.17364 + 0.280274i 0.542449 + 0.0165730i
\(287\) 7.51604i 0.443658i
\(288\) 1.34457 + 5.49474i 0.0792296 + 0.323780i
\(289\) 16.9510i 0.997116i
\(290\) 0.0254303 0.832357i 0.00149332 0.0488777i
\(291\) 0.869198 4.36975i 0.0509533 0.256159i
\(292\) 5.49747 11.2715i 0.321715 0.659615i
\(293\) 20.7234 + 13.8470i 1.21068 + 0.808948i 0.986204 0.165532i \(-0.0529343\pi\)
0.224472 + 0.974481i \(0.427934\pi\)
\(294\) −0.275633 0.0636348i −0.0160753 0.00371125i
\(295\) −0.470091 1.13490i −0.0273697 0.0660764i
\(296\) 20.8277 2.18912i 1.21059 0.127240i
\(297\) −2.33690 + 5.64178i −0.135601 + 0.327369i
\(298\) 2.04036 + 1.45537i 0.118195 + 0.0843073i
\(299\) −1.42449 + 0.283348i −0.0823802 + 0.0163864i
\(300\) 9.88716 1.34560i 0.570835 0.0776880i
\(301\) −15.2547 + 10.1929i −0.879266 + 0.587507i
\(302\) −11.4292 + 4.33016i −0.657678 + 0.249173i
\(303\) 2.90554 + 2.90554i 0.166919 + 0.166919i
\(304\) −13.3816 + 6.74494i −0.767490 + 0.386849i
\(305\) 0.209785 0.209785i 0.0120123 0.0120123i
\(306\) 0.128601 0.285485i 0.00735165 0.0163201i
\(307\) −7.16960 10.7301i −0.409191 0.612397i 0.568440 0.822724i \(-0.307547\pi\)
−0.977631 + 0.210327i \(0.932547\pi\)
\(308\) 27.5115 16.0443i 1.56762 0.914209i
\(309\) −1.10854 5.57302i −0.0630627 0.317038i
\(310\) −0.182599 1.09116i −0.0103709 0.0619740i
\(311\) −11.5135 4.76903i −0.652869 0.270427i 0.0315655 0.999502i \(-0.489951\pi\)
−0.684434 + 0.729075i \(0.739951\pi\)
\(312\) 2.66018 + 1.39958i 0.150603 + 0.0792358i
\(313\) −16.7731 + 6.94765i −0.948072 + 0.392704i −0.802506 0.596644i \(-0.796500\pi\)
−0.145566 + 0.989349i \(0.546500\pi\)
\(314\) 11.9023 7.43738i 0.671685 0.419716i
\(315\) −0.150894 + 0.225829i −0.00850193 + 0.0127240i
\(316\) 22.8644 + 25.8435i 1.28623 + 1.45381i
\(317\) 19.0483 + 3.78895i 1.06986 + 0.212808i 0.698449 0.715660i \(-0.253874\pi\)
0.371411 + 0.928468i \(0.378874\pi\)
\(318\) −3.77294 + 3.54923i −0.211576 + 0.199031i
\(319\) −34.5237 −1.93296
\(320\) 0.596854 + 0.581425i 0.0333652 + 0.0325026i
\(321\) 11.4729 0.640356
\(322\) −3.67093 + 3.45327i −0.204573 + 0.192443i
\(323\) 0.813522 + 0.161820i 0.0452656 + 0.00900389i
\(324\) −1.49791 + 1.32524i −0.0832172 + 0.0736246i
\(325\) 2.94574 4.40861i 0.163400 0.244546i
\(326\) 23.6102 14.7533i 1.30765 0.817110i
\(327\) −17.9248 + 7.42471i −0.991246 + 0.410588i
\(328\) 2.41751 + 7.78562i 0.133485 + 0.429889i
\(329\) 27.5751 + 11.4220i 1.52026 + 0.629713i
\(330\) 0.148459 + 0.887153i 0.00817240 + 0.0488362i
\(331\) −2.06403 10.3766i −0.113449 0.570348i −0.995136 0.0985127i \(-0.968592\pi\)
0.881686 0.471836i \(-0.156408\pi\)
\(332\) −8.74520 14.9956i −0.479955 0.822990i
\(333\) 4.11359 + 6.15643i 0.225424 + 0.337370i
\(334\) 11.4829 25.4911i 0.628316 1.39481i
\(335\) −0.0646982 + 0.0646982i −0.00353484 + 0.00353484i
\(336\) 10.4020 0.773030i 0.567477 0.0421722i
\(337\) −6.92075 6.92075i −0.376997 0.376997i 0.493021 0.870018i \(-0.335893\pi\)
−0.870018 + 0.493021i \(0.835893\pi\)
\(338\) −15.6986 + 5.94768i −0.853891 + 0.323511i
\(339\) −11.2721 + 7.53178i −0.612217 + 0.409070i
\(340\) −0.00621950 0.0456996i −0.000337299 0.00247841i
\(341\) −44.9849 + 8.94805i −2.43607 + 0.484564i
\(342\) −4.31330 3.07665i −0.233237 0.166366i
\(343\) −7.18501 + 17.3462i −0.387954 + 0.936604i
\(344\) −12.5233 + 15.4651i −0.675212 + 0.833821i
\(345\) −0.0544723 0.131508i −0.00293269 0.00708014i
\(346\) −20.5682 4.74853i −1.10575 0.255283i
\(347\) −15.8336 10.5797i −0.849994 0.567948i 0.0525147 0.998620i \(-0.483276\pi\)
−0.902508 + 0.430673i \(0.858276\pi\)
\(348\) −10.1627 4.95664i −0.544775 0.265704i
\(349\) −2.82461 + 14.2003i −0.151198 + 0.760124i 0.828554 + 0.559909i \(0.189164\pi\)
−0.979752 + 0.200215i \(0.935836\pi\)
\(350\) 0.561868 18.3905i 0.0300331 0.983012i
\(351\) 1.06274i 0.0567251i
\(352\) 23.3377 25.4688i 1.24390 1.35749i
\(353\) 28.4485i 1.51416i 0.653323 + 0.757080i \(0.273374\pi\)
−0.653323 + 0.757080i \(0.726626\pi\)
\(354\) −16.6715 0.509349i −0.886079 0.0270716i
\(355\) 0.168918 0.849210i 0.00896526 0.0450714i
\(356\) −18.3580 + 6.32118i −0.972970 + 0.335022i
\(357\) −0.480050 0.320759i −0.0254070 0.0169764i
\(358\) 2.89583 12.5433i 0.153049 0.662932i
\(359\) −9.30015 22.4525i −0.490843 1.18500i −0.954292 0.298876i \(-0.903388\pi\)
0.463449 0.886124i \(-0.346612\pi\)
\(360\) −0.0836690 + 0.282464i −0.00440974 + 0.0148871i
\(361\) −1.89996 + 4.58691i −0.0999979 + 0.241416i
\(362\) 2.47853 3.47478i 0.130269 0.182630i
\(363\) 25.7856 5.12907i 1.35339 0.269206i
\(364\) 3.35489 4.41191i 0.175844 0.231247i
\(365\) 0.543023 0.362837i 0.0284231 0.0189917i
\(366\) −1.42720 3.76702i −0.0746010 0.196906i
\(367\) 1.22258 + 1.22258i 0.0638181 + 0.0638181i 0.738295 0.674477i \(-0.235631\pi\)
−0.674477 + 0.738295i \(0.735631\pi\)
\(368\) −2.69186 + 4.75787i −0.140323 + 0.248021i
\(369\) −2.03808 + 2.03808i −0.106098 + 0.106098i
\(370\) 0.994396 + 0.447942i 0.0516962 + 0.0232874i
\(371\) 5.30647 + 7.94169i 0.275498 + 0.412312i
\(372\) −14.5268 3.82456i −0.753178 0.198294i
\(373\) 3.36506 + 16.9173i 0.174236 + 0.875944i 0.964683 + 0.263414i \(0.0848484\pi\)
−0.790447 + 0.612531i \(0.790152\pi\)
\(374\) −1.88584 + 0.315583i −0.0975145 + 0.0163184i
\(375\) 0.961223 + 0.398152i 0.0496374 + 0.0205605i
\(376\) 32.2379 + 2.96219i 1.66254 + 0.152763i
\(377\) −5.55087 + 2.29925i −0.285884 + 0.118417i
\(378\) 1.95424 + 3.12744i 0.100515 + 0.160858i
\(379\) −3.02786 + 4.53151i −0.155531 + 0.232768i −0.901049 0.433717i \(-0.857202\pi\)
0.745519 + 0.666485i \(0.232202\pi\)
\(380\) −0.778948 0.0476415i −0.0399592 0.00244396i
\(381\) 6.02616 + 1.19868i 0.308729 + 0.0614101i
\(382\) 1.44021 + 1.53099i 0.0736876 + 0.0783321i
\(383\) −2.55171 −0.130386 −0.0651932 0.997873i \(-0.520766\pi\)
−0.0651932 + 0.997873i \(0.520766\pi\)
\(384\) 10.5265 4.14653i 0.537176 0.211602i
\(385\) 1.65857 0.0845287
\(386\) −10.3303 10.9814i −0.525798 0.558939i
\(387\) −6.90045 1.37259i −0.350770 0.0697724i
\(388\) −8.89410 0.543975i −0.451530 0.0276162i
\(389\) −11.0881 + 16.5946i −0.562191 + 0.841378i −0.998286 0.0585224i \(-0.981361\pi\)
0.436095 + 0.899901i \(0.356361\pi\)
\(390\) 0.0829534 + 0.132753i 0.00420051 + 0.00672221i
\(391\) 0.279549 0.115793i 0.0141374 0.00585590i
\(392\) −0.0517675 + 0.563394i −0.00261465 + 0.0284557i
\(393\) −20.5914 8.52925i −1.03870 0.430244i
\(394\) 12.4161 2.07775i 0.625513 0.104675i
\(395\) 0.350575 + 1.76246i 0.0176394 + 0.0886791i
\(396\) 11.8108 + 3.10950i 0.593513 + 0.156258i
\(397\) 21.0699 + 31.5334i 1.05747 + 1.58262i 0.784026 + 0.620728i \(0.213163\pi\)
0.273444 + 0.961888i \(0.411837\pi\)
\(398\) 16.3129 + 7.34840i 0.817691 + 0.368342i
\(399\) −6.90792 + 6.90792i −0.345829 + 0.345829i
\(400\) −5.33322 19.2308i −0.266661 0.961539i
\(401\) −15.4938 15.4938i −0.773725 0.773725i 0.205030 0.978756i \(-0.434271\pi\)
−0.978756 + 0.205030i \(0.934271\pi\)
\(402\) 0.440152 + 1.16176i 0.0219528 + 0.0579433i
\(403\) −6.63693 + 4.43466i −0.330609 + 0.220906i
\(404\) 4.97436 6.54164i 0.247484 0.325459i
\(405\) −0.102154 + 0.0203196i −0.00507606 + 0.00100969i
\(406\) −12.1071 + 16.9735i −0.600864 + 0.842381i
\(407\) 17.3030 41.7733i 0.857680 2.07062i
\(408\) −0.600439 0.177857i −0.0297262 0.00880523i
\(409\) 3.34636 + 8.07883i 0.165467 + 0.399472i 0.984764 0.173897i \(-0.0556360\pi\)
−0.819297 + 0.573369i \(0.805636\pi\)
\(410\) −0.0955032 + 0.413671i −0.00471657 + 0.0204298i
\(411\) −0.931524 0.622424i −0.0459487 0.0307019i
\(412\) −10.7452 + 3.69990i −0.529380 + 0.182281i
\(413\) −6.00000 + 30.1640i −0.295240 + 1.48427i
\(414\) −1.93183 0.0590214i −0.0949441 0.00290074i
\(415\) 0.904031i 0.0443771i
\(416\) 2.05614 5.64924i 0.100810 0.276977i
\(417\) 0.440706i 0.0215815i
\(418\) −0.988014 + 32.3386i −0.0483254 + 1.58173i
\(419\) 4.44510 22.3470i 0.217158 1.09172i −0.706267 0.707945i \(-0.749622\pi\)
0.923425 0.383779i \(-0.125378\pi\)
\(420\) 0.488230 + 0.238125i 0.0238232 + 0.0116193i
\(421\) 6.86080 + 4.58424i 0.334375 + 0.223422i 0.711411 0.702777i \(-0.248057\pi\)
−0.377036 + 0.926199i \(0.623057\pi\)
\(422\) 36.6720 + 8.46638i 1.78517 + 0.412137i
\(423\) 4.38013 + 10.5746i 0.212969 + 0.514154i
\(424\) 8.05121 + 6.51972i 0.391001 + 0.316625i
\(425\) −0.422720 + 1.02054i −0.0205049 + 0.0495033i
\(426\) −9.57110 6.82699i −0.463721 0.330769i
\(427\) −7.28512 + 1.44910i −0.352552 + 0.0701269i
\(428\) −3.09430 22.7362i −0.149568 1.09900i
\(429\) 5.39605 3.60552i 0.260524 0.174076i
\(430\) −0.969110 + 0.367164i −0.0467347 + 0.0177062i
\(431\) −3.46114 3.46114i −0.166717 0.166717i 0.618818 0.785535i \(-0.287612\pi\)
−0.785535 + 0.618818i \(0.787612\pi\)
\(432\) 3.03027 + 2.61103i 0.145794 + 0.125623i
\(433\) 12.8950 12.8950i 0.619694 0.619694i −0.325759 0.945453i \(-0.605620\pi\)
0.945453 + 0.325759i \(0.105620\pi\)
\(434\) −11.3764 + 25.2547i −0.546084 + 1.21226i
\(435\) −0.327142 0.489602i −0.0156853 0.0234746i
\(436\) 19.5482 + 33.5197i 0.936189 + 1.60530i
\(437\) −0.998849 5.02155i −0.0477814 0.240214i
\(438\) −1.46358 8.74600i −0.0699327 0.417900i
\(439\) 11.7351 + 4.86085i 0.560087 + 0.231996i 0.644723 0.764416i \(-0.276973\pi\)
−0.0846357 + 0.996412i \(0.526973\pi\)
\(440\) 1.71806 0.533475i 0.0819053 0.0254324i
\(441\) −0.184803 + 0.0765477i −0.00880012 + 0.00364513i
\(442\) −0.282196 + 0.176336i −0.0134227 + 0.00838745i
\(443\) −5.99448 + 8.97138i −0.284806 + 0.426243i −0.946095 0.323888i \(-0.895010\pi\)
0.661289 + 0.750131i \(0.270010\pi\)
\(444\) 11.0909 9.81245i 0.526352 0.465678i
\(445\) −0.991696 0.197261i −0.0470109 0.00935105i
\(446\) −27.3514 + 25.7296i −1.29512 + 1.21833i
\(447\) 1.77217 0.0838207
\(448\) −4.33741 20.4055i −0.204923 0.964070i
\(449\) −27.6710 −1.30587 −0.652937 0.757412i \(-0.726463\pi\)
−0.652937 + 0.757412i \(0.726463\pi\)
\(450\) 5.13918 4.83447i 0.242263 0.227899i
\(451\) 17.2628 + 3.43378i 0.812872 + 0.161690i
\(452\) 17.9661 + 20.3069i 0.845055 + 0.955158i
\(453\) −4.80139 + 7.18578i −0.225589 + 0.337618i
\(454\) −20.2469 + 12.6517i −0.950233 + 0.593772i
\(455\) 0.266672 0.110459i 0.0125018 0.00517841i
\(456\) −4.93377 + 9.37759i −0.231045 + 0.439146i
\(457\) 5.22643 + 2.16486i 0.244482 + 0.101268i 0.501560 0.865123i \(-0.332760\pi\)
−0.257078 + 0.966391i \(0.582760\pi\)
\(458\) −4.63654 27.7067i −0.216651 1.29465i
\(459\) −0.0431939 0.217150i −0.00201612 0.0101357i
\(460\) −0.245922 + 0.143418i −0.0114662 + 0.00668688i
\(461\) 13.1559 + 19.6892i 0.612732 + 0.917018i 0.999988 0.00495411i \(-0.00157695\pi\)
−0.387256 + 0.921972i \(0.626577\pi\)
\(462\) 9.24939 20.5329i 0.430321 0.955278i
\(463\) 16.7704 16.7704i 0.779386 0.779386i −0.200340 0.979726i \(-0.564205\pi\)
0.979726 + 0.200340i \(0.0642048\pi\)
\(464\) −7.08182 + 21.4765i −0.328765 + 0.997021i
\(465\) −0.553169 0.553169i −0.0256526 0.0256526i
\(466\) −20.3200 + 7.69856i −0.941304 + 0.356629i
\(467\) −6.72675 + 4.49467i −0.311277 + 0.207989i −0.701389 0.712779i \(-0.747436\pi\)
0.390112 + 0.920767i \(0.372436\pi\)
\(468\) 2.10607 0.286627i 0.0973533 0.0132493i
\(469\) 2.24675 0.446906i 0.103745 0.0206362i
\(470\) 1.37255 + 0.979032i 0.0633112 + 0.0451594i
\(471\) 3.79782 9.16875i 0.174994 0.422474i
\(472\) 3.48698 + 33.1758i 0.160501 + 1.52704i
\(473\) 16.4416 + 39.6935i 0.755985 + 1.82511i
\(474\) 23.7741 + 5.48867i 1.09198 + 0.252103i
\(475\) 15.5411 + 10.3842i 0.713075 + 0.476461i
\(476\) −0.506187 + 1.03784i −0.0232011 + 0.0475694i
\(477\) −0.714576 + 3.59242i −0.0327182 + 0.164485i
\(478\) −0.0725455 + 2.37448i −0.00331815 + 0.108606i
\(479\) 25.1863i 1.15079i 0.817876 + 0.575395i \(0.195152\pi\)
−0.817876 + 0.575395i \(0.804848\pi\)
\(480\) 0.582333 + 0.0896278i 0.0265797 + 0.00409093i
\(481\) 7.86885i 0.358789i
\(482\) 23.6357 + 0.722122i 1.07658 + 0.0328918i
\(483\) −0.695256 + 3.49529i −0.0316352 + 0.159041i
\(484\) −17.1189 49.7168i −0.778133 2.25985i
\(485\) −0.385842 0.257812i −0.0175202 0.0117066i
\(486\) −0.318128 + 1.37797i −0.0144306 + 0.0625059i
\(487\) −11.1531 26.9259i −0.505394 1.22013i −0.946509 0.322678i \(-0.895417\pi\)
0.441115 0.897451i \(-0.354583\pi\)
\(488\) −7.08031 + 3.84431i −0.320511 + 0.174024i
\(489\) 7.53362 18.1878i 0.340682 0.822479i
\(490\) −0.0171097 + 0.0239869i −0.000772936 + 0.00108362i
\(491\) 21.9923 4.37455i 0.992500 0.197420i 0.327975 0.944686i \(-0.393634\pi\)
0.664525 + 0.747266i \(0.268634\pi\)
\(492\) 4.58860 + 3.48924i 0.206870 + 0.157307i
\(493\) 1.04076 0.695413i 0.0468734 0.0313198i
\(494\) 1.99487 + 5.26535i 0.0897532 + 0.236899i
\(495\) 0.449745 + 0.449745i 0.0202145 + 0.0202145i
\(496\) −3.66132 + 29.8197i −0.164398 + 1.33894i
\(497\) −15.3285 + 15.3285i −0.687577 + 0.687577i
\(498\) −11.1918 5.04152i −0.501516 0.225916i
\(499\) −7.28677 10.9054i −0.326201 0.488194i 0.631732 0.775187i \(-0.282344\pi\)
−0.957933 + 0.286993i \(0.907344\pi\)
\(500\) 0.529784 2.01227i 0.0236927 0.0899915i
\(501\) −3.85681 19.3895i −0.172310 0.866259i
\(502\) 2.55753 0.427985i 0.114148 0.0191019i
\(503\) −4.92050 2.03814i −0.219394 0.0908761i 0.270279 0.962782i \(-0.412884\pi\)
−0.489674 + 0.871906i \(0.662884\pi\)
\(504\) 5.67068 4.71627i 0.252592 0.210079i
\(505\) 0.395401 0.163780i 0.0175951 0.00728813i
\(506\) 6.25434 + 10.0090i 0.278039 + 0.444955i
\(507\) −6.59494 + 9.87002i −0.292891 + 0.438343i
\(508\) 0.750175 12.2655i 0.0332836 0.544194i
\(509\) 1.60223 + 0.318703i 0.0710176 + 0.0141263i 0.230471 0.973079i \(-0.425973\pi\)
−0.159454 + 0.987205i \(0.550973\pi\)
\(510\) −0.0223454 0.0237539i −0.000989473 0.00105184i
\(511\) −16.3510 −0.723327
\(512\) −11.0563 19.7423i −0.488626 0.872493i
\(513\) −3.74635 −0.165406
\(514\) −19.4452 20.6709i −0.857693 0.911753i
\(515\) −0.580458 0.115460i −0.0255780 0.00508779i
\(516\) −0.859013 + 14.0450i −0.0378160 + 0.618298i
\(517\) 38.8318 58.1158i 1.70782 2.55593i
\(518\) −14.4698 23.1564i −0.635764 1.01743i
\(519\) −13.7903 + 5.71212i −0.605326 + 0.250734i
\(520\) 0.240708 0.200196i 0.0105557 0.00877916i
\(521\) −3.34307 1.38474i −0.146463 0.0606668i 0.308248 0.951306i \(-0.400257\pi\)
−0.454711 + 0.890639i \(0.650257\pi\)
\(522\) −7.88559 + 1.31960i −0.345143 + 0.0577574i
\(523\) 3.40024 + 17.0942i 0.148682 + 0.747475i 0.981127 + 0.193367i \(0.0619407\pi\)
−0.832445 + 0.554108i \(0.813059\pi\)
\(524\) −11.3491 + 43.1071i −0.495787 + 1.88314i
\(525\) −7.22802 10.8175i −0.315457 0.472114i
\(526\) 8.14375 + 3.66849i 0.355084 + 0.159954i
\(527\) 1.17588 1.17588i 0.0512222 0.0512222i
\(528\) 2.97678 24.2444i 0.129548 1.05510i
\(529\) 14.9428 + 14.9428i 0.649686 + 0.649686i
\(530\) 0.191148 + 0.504525i 0.00830293 + 0.0219152i
\(531\) −9.80637 + 6.55240i −0.425560 + 0.284350i
\(532\) 15.5527 + 11.8265i 0.674297 + 0.512746i
\(533\) 3.00427 0.597586i 0.130129 0.0258843i
\(534\) −7.97247 + 11.1770i −0.345003 + 0.483677i
\(535\) 0.457292 1.10400i 0.0197705 0.0477302i
\(536\) 2.18358 1.18559i 0.0943164 0.0512099i
\(537\) −3.48346 8.40982i −0.150322 0.362911i
\(538\) −6.31214 + 27.3410i −0.272136 + 1.17875i
\(539\) 1.01564 + 0.678628i 0.0437467 + 0.0292306i
\(540\) 0.0678194 + 0.196961i 0.00291848 + 0.00847585i
\(541\) 6.88737 34.6252i 0.296111 1.48865i −0.490629 0.871368i \(-0.663233\pi\)
0.786741 0.617284i \(-0.211767\pi\)
\(542\) 1.52202 + 0.0465011i 0.0653765 + 0.00199739i
\(543\) 3.01805i 0.129517i
\(544\) −0.190524 + 1.23788i −0.00816864 + 0.0530736i
\(545\) 2.02079i 0.0865610i
\(546\) 0.119684 3.91737i 0.00512201 0.167648i
\(547\) 4.07830 20.5030i 0.174375 0.876645i −0.790202 0.612846i \(-0.790025\pi\)
0.964578 0.263799i \(-0.0849754\pi\)
\(548\) −0.982242 + 2.01390i −0.0419593 + 0.0860296i
\(549\) −2.36840 1.58252i −0.101081 0.0675401i
\(550\) −41.9823 9.69235i −1.79013 0.413283i
\(551\) −8.10523 19.5677i −0.345294 0.833614i
\(552\) 0.404057 + 3.84428i 0.0171978 + 0.163623i
\(553\) 17.2170 41.5656i 0.732143 1.76755i
\(554\) 14.8722 + 10.6082i 0.631857 + 0.450699i
\(555\) 0.756374 0.150452i 0.0321063 0.00638634i
\(556\) −0.873361 + 0.118860i −0.0370387 + 0.00504080i
\(557\) 20.7083 13.8368i 0.877439 0.586286i −0.0332184 0.999448i \(-0.510576\pi\)
0.910658 + 0.413162i \(0.135576\pi\)
\(558\) −9.93302 + 3.76329i −0.420498 + 0.159313i
\(559\) 5.28710 + 5.28710i 0.223620 + 0.223620i
\(560\) 0.340222 1.03176i 0.0143770 0.0436000i
\(561\) −0.956032 + 0.956032i −0.0403637 + 0.0403637i
\(562\) −4.30522 + 9.55725i −0.181605 + 0.403148i
\(563\) −2.04967 3.06755i −0.0863834 0.129282i 0.785761 0.618530i \(-0.212271\pi\)
−0.872145 + 0.489248i \(0.837271\pi\)
\(564\) 19.7746 11.5323i 0.832662 0.485596i
\(565\) 0.275470 + 1.38488i 0.0115891 + 0.0582625i
\(566\) −7.38318 44.1200i −0.310338 1.85450i
\(567\) 2.40918 + 0.997914i 0.101176 + 0.0419085i
\(568\) −10.9479 + 20.8086i −0.459364 + 0.873111i
\(569\) 24.0751 9.97222i 1.00928 0.418057i 0.184087 0.982910i \(-0.441067\pi\)
0.825192 + 0.564853i \(0.191067\pi\)
\(570\) −0.467977 + 0.292425i −0.0196014 + 0.0122483i
\(571\) 9.36593 14.0171i 0.391952 0.586598i −0.582046 0.813156i \(-0.697747\pi\)
0.973998 + 0.226559i \(0.0727475\pi\)
\(572\) −8.60052 9.72109i −0.359606 0.406459i
\(573\) 1.45773 + 0.289961i 0.0608977 + 0.0121133i
\(574\) 7.74206 7.28301i 0.323147 0.303987i
\(575\) 6.81840 0.284347
\(576\) 4.35709 6.70938i 0.181545 0.279558i
\(577\) −29.9602 −1.24726 −0.623629 0.781721i \(-0.714342\pi\)
−0.623629 + 0.781721i \(0.714342\pi\)
\(578\) −17.4607 + 16.4254i −0.726270 + 0.683208i
\(579\) −10.4560 2.07982i −0.434536 0.0864345i
\(580\) −0.882029 + 0.780355i −0.0366243 + 0.0324025i
\(581\) −12.5746 + 18.8193i −0.521684 + 0.780755i
\(582\) −5.34341 + 3.33894i −0.221491 + 0.138403i
\(583\) 20.6647 8.55959i 0.855844 0.354502i
\(584\) −16.9375 + 5.25926i −0.700878 + 0.217630i
\(585\) 0.102264 + 0.0423593i 0.00422811 + 0.00175134i
\(586\) −5.81757 34.7643i −0.240321 1.43610i
\(587\) 0.632802 + 3.18131i 0.0261185 + 0.131307i 0.991645 0.128999i \(-0.0411765\pi\)
−0.965526 + 0.260306i \(0.916177\pi\)
\(588\) 0.201539 + 0.345584i 0.00831133 + 0.0142516i
\(589\) −15.6329 23.3963i −0.644143 0.964028i
\(590\) −0.713512 + 1.58394i −0.0293748 + 0.0652098i
\(591\) 6.29437 6.29437i 0.258916 0.258916i
\(592\) −22.4369 19.3328i −0.922152 0.794573i
\(593\) −14.3196 14.3196i −0.588036 0.588036i 0.349063 0.937099i \(-0.386500\pi\)
−0.937099 + 0.349063i \(0.886500\pi\)
\(594\) 8.07588 3.05968i 0.331357 0.125540i
\(595\) −0.0499997 + 0.0334087i −0.00204979 + 0.00136962i
\(596\) −0.477961 3.51196i −0.0195781 0.143856i
\(597\) 12.4082 2.46814i 0.507833 0.101014i
\(598\) 1.67219 + 1.19276i 0.0683809 + 0.0487756i
\(599\) 7.06998 17.0685i 0.288872 0.697398i −0.711112 0.703079i \(-0.751808\pi\)
0.999984 + 0.00568061i \(0.00180820\pi\)
\(600\) −10.9667 8.88060i −0.447713 0.362549i
\(601\) −12.9311 31.2185i −0.527472 1.27343i −0.933174 0.359424i \(-0.882973\pi\)
0.405703 0.914005i \(-0.367027\pi\)
\(602\) 25.2811 + 5.83659i 1.03038 + 0.237882i
\(603\) 0.730421 + 0.488051i 0.0297450 + 0.0198750i
\(604\) 15.5353 + 7.57702i 0.632120 + 0.308305i
\(605\) 0.534219 2.68570i 0.0217191 0.109189i
\(606\) 0.177458 5.80837i 0.00720875 0.235949i
\(607\) 30.0269i 1.21875i 0.792880 + 0.609377i \(0.208581\pi\)
−0.792880 + 0.609377i \(0.791419\pi\)
\(608\) 19.9145 + 7.24823i 0.807641 + 0.293954i
\(609\) 14.7425i 0.597395i
\(610\) −0.419374 0.0128128i −0.0169800 0.000518775i
\(611\) 2.37308 11.9303i 0.0960045 0.482647i
\(612\) −0.418684 + 0.144165i −0.0169243 + 0.00582753i
\(613\) −36.1354 24.1449i −1.45950 0.975204i −0.996023 0.0890934i \(-0.971603\pi\)
−0.463473 0.886111i \(-0.653397\pi\)
\(614\) −4.10542 + 17.7826i −0.165681 + 0.717647i
\(615\) 0.114883 + 0.277352i 0.00463253 + 0.0111839i
\(616\) −43.1853 12.7920i −1.73999 0.515404i
\(617\) −2.84932 + 6.87887i −0.114709 + 0.276933i −0.970799 0.239895i \(-0.922887\pi\)
0.856090 + 0.516827i \(0.172887\pi\)
\(618\) −4.66643 + 6.54211i −0.187711 + 0.263162i
\(619\) 4.42427 0.880042i 0.177826 0.0353719i −0.105374 0.994433i \(-0.533604\pi\)
0.283200 + 0.959061i \(0.408604\pi\)
\(620\) −0.947040 + 1.24542i −0.0380340 + 0.0500174i
\(621\) −1.13632 + 0.759267i −0.0455991 + 0.0304683i
\(622\) 6.24405 + 16.4809i 0.250364 + 0.660823i
\(623\) 17.9004 + 17.9004i 0.717165 + 0.717165i
\(624\) −1.13603 4.09637i −0.0454778 0.163986i
\(625\) −17.5627 + 17.5627i −0.702508 + 0.702508i
\(626\) 23.4096 + 10.5453i 0.935638 + 0.421473i
\(627\) 12.7101 + 19.0220i 0.507592 + 0.759665i
\(628\) −19.1943 5.05341i −0.765936 0.201653i
\(629\) 0.319819 + 1.60784i 0.0127520 + 0.0641088i
\(630\) 0.378836 0.0633957i 0.0150932 0.00252575i
\(631\) 28.8561 + 11.9526i 1.14874 + 0.475825i 0.874112 0.485724i \(-0.161444\pi\)
0.274632 + 0.961549i \(0.411444\pi\)
\(632\) 4.46509 48.5942i 0.177612 1.93297i
\(633\) 24.5873 10.1844i 0.977259 0.404794i
\(634\) −14.5549 23.2926i −0.578047 0.925068i
\(635\) 0.355538 0.532100i 0.0141091 0.0211157i
\(636\) 7.31193 + 0.447208i 0.289937 + 0.0177329i
\(637\) 0.208495 + 0.0414722i 0.00826087 + 0.00164319i
\(638\) 33.4533 + 35.5619i 1.32443 + 1.40791i
\(639\) −8.31306 −0.328859
\(640\) 0.0205604 1.17820i 0.000812722 0.0465725i
\(641\) −12.0039 −0.474125 −0.237063 0.971494i \(-0.576185\pi\)
−0.237063 + 0.971494i \(0.576185\pi\)
\(642\) −11.1172 11.8179i −0.438761 0.466416i
\(643\) −19.1282 3.80484i −0.754343 0.150048i −0.197084 0.980387i \(-0.563147\pi\)
−0.557259 + 0.830338i \(0.688147\pi\)
\(644\) 7.11424 + 0.435116i 0.280340 + 0.0171460i
\(645\) −0.407120 + 0.609299i −0.0160304 + 0.0239911i
\(646\) −0.621614 0.994789i −0.0244571 0.0391394i
\(647\) −3.87838 + 1.60648i −0.152475 + 0.0631571i −0.457616 0.889150i \(-0.651296\pi\)
0.305141 + 0.952307i \(0.401296\pi\)
\(648\) 2.81656 + 0.258800i 0.110645 + 0.0101666i
\(649\) 66.5392 + 27.5614i 2.61189 + 1.08188i
\(650\) −7.39560 + 1.23760i −0.290079 + 0.0485428i
\(651\) 3.82104 + 19.2097i 0.149758 + 0.752886i
\(652\) −38.0751 10.0243i −1.49114 0.392582i
\(653\) −10.9318 16.3606i −0.427794 0.640239i 0.553479 0.832863i \(-0.313300\pi\)
−0.981273 + 0.192624i \(0.938300\pi\)
\(654\) 25.0171 + 11.2694i 0.978245 + 0.440667i
\(655\) −1.64148 + 1.64148i −0.0641381 + 0.0641381i
\(656\) 5.67718 10.0344i 0.221657 0.391779i
\(657\) −4.43381 4.43381i −0.172979 0.172979i
\(658\) −14.9547 39.4721i −0.582994 1.53878i
\(659\) −14.9450 + 9.98593i −0.582174 + 0.388997i −0.811499 0.584353i \(-0.801348\pi\)
0.229325 + 0.973350i \(0.426348\pi\)
\(660\) 0.769975 1.01257i 0.0299712 0.0394143i
\(661\) −23.5649 + 4.68735i −0.916569 + 0.182317i −0.630768 0.775972i \(-0.717260\pi\)
−0.285802 + 0.958289i \(0.592260\pi\)
\(662\) −8.68858 + 12.1810i −0.337691 + 0.473426i
\(663\) −0.0900441 + 0.217386i −0.00349702 + 0.00844256i
\(664\) −6.97247 + 23.5388i −0.270584 + 0.913484i
\(665\) 0.389388 + 0.940065i 0.0150998 + 0.0364542i
\(666\) 2.35551 10.2028i 0.0912740 0.395352i
\(667\) −6.42419 4.29251i −0.248746 0.166207i
\(668\) −37.3846 + 12.8726i −1.44645 + 0.498055i
\(669\) −5.18021 + 26.0427i −0.200279 + 1.00687i
\(670\) 0.129336 + 0.00395149i 0.00499669 + 0.000152659i
\(671\) 17.3944i 0.671504i
\(672\) −10.8758 9.96576i −0.419543 0.384438i
\(673\) 7.78110i 0.299939i 0.988691 + 0.149970i \(0.0479176\pi\)
−0.988691 + 0.149970i \(0.952082\pi\)
\(674\) −0.422690 + 13.8350i −0.0162814 + 0.532906i
\(675\) 0.973335 4.89329i 0.0374637 0.188343i
\(676\) 21.3384 + 10.4074i 0.820708 + 0.400285i
\(677\) 19.0145 + 12.7051i 0.730785 + 0.488295i 0.864442 0.502732i \(-0.167672\pi\)
−0.133657 + 0.991028i \(0.542672\pi\)
\(678\) 18.6809 + 4.31281i 0.717436 + 0.165633i
\(679\) 4.44607 + 10.7338i 0.170624 + 0.411924i
\(680\) −0.0410471 + 0.0506892i −0.00157409 + 0.00194384i
\(681\) −6.46044 + 15.5969i −0.247565 + 0.597674i
\(682\) 52.8073 + 37.6670i 2.02210 + 1.44234i
\(683\) −12.0812 + 2.40310i −0.462274 + 0.0919519i −0.420732 0.907185i \(-0.638227\pi\)
−0.0415413 + 0.999137i \(0.513227\pi\)
\(684\) 1.01041 + 7.42427i 0.0386339 + 0.283874i
\(685\) −0.0970229 + 0.0648287i −0.00370706 + 0.00247698i
\(686\) 24.8300 9.40727i 0.948015 0.359171i
\(687\) −14.0460 14.0460i −0.535889 0.535889i
\(688\) 28.0652 2.08567i 1.06997 0.0795155i
\(689\) 2.75250 2.75250i 0.104862 0.104862i
\(690\) −0.0826790 + 0.183541i −0.00314753 + 0.00698728i
\(691\) −22.0907 33.0611i −0.840370 1.25770i −0.964141 0.265392i \(-0.914499\pi\)
0.123771 0.992311i \(-0.460501\pi\)
\(692\) 15.0392 + 25.7880i 0.571704 + 0.980314i
\(693\) −3.10663 15.6181i −0.118011 0.593282i
\(694\) 4.44488 + 26.5614i 0.168725 + 1.00826i
\(695\) −0.0424077 0.0175658i −0.00160861 0.000666310i
\(696\) 4.74187 + 15.2712i 0.179740 + 0.578854i
\(697\) −0.589573 + 0.244209i −0.0223317 + 0.00925009i
\(698\) 17.3644 10.8505i 0.657251 0.410696i
\(699\) −8.53636 + 12.7756i −0.322875 + 0.483216i
\(700\) −19.4879 + 17.2415i −0.736575 + 0.651668i
\(701\) −6.26203 1.24560i −0.236514 0.0470455i 0.0754101 0.997153i \(-0.475973\pi\)
−0.311924 + 0.950107i \(0.600973\pi\)
\(702\) 1.09470 1.02979i 0.0413169 0.0388671i
\(703\) 27.7390 1.04620
\(704\) −48.8487 + 0.639648i −1.84106 + 0.0241076i
\(705\) 1.19214 0.0448987
\(706\) 29.3040 27.5664i 1.10287 1.03748i
\(707\) −10.5092 2.09041i −0.395239 0.0786179i
\(708\) 15.6299 + 17.6664i 0.587409 + 0.663943i
\(709\) 0.468966 0.701857i 0.0176124 0.0263588i −0.822559 0.568680i \(-0.807454\pi\)
0.840171 + 0.542321i \(0.182454\pi\)
\(710\) −1.03843 + 0.648883i −0.0389715 + 0.0243521i
\(711\) 15.9397 6.60245i 0.597786 0.247611i
\(712\) 24.3000 + 12.7848i 0.910683 + 0.479131i
\(713\) −9.48338 3.92814i −0.355155 0.147110i
\(714\) 0.134762 + 0.805301i 0.00504333 + 0.0301376i
\(715\) −0.131870 0.662955i −0.00493165 0.0247931i
\(716\) −15.7265 + 9.17145i −0.587727 + 0.342753i
\(717\) 0.933245 + 1.39670i 0.0348527 + 0.0521607i
\(718\) −14.1159 + 31.3362i −0.526801 + 1.16946i
\(719\) −36.2159 + 36.2159i −1.35063 + 1.35063i −0.465667 + 0.884960i \(0.654185\pi\)
−0.884960 + 0.465667i \(0.845815\pi\)
\(720\) 0.372033 0.187521i 0.0138648 0.00698850i
\(721\) 10.4774 + 10.4774i 0.390200 + 0.390200i
\(722\) 6.56590 2.48760i 0.244357 0.0925789i
\(723\) 13.9028 9.28957i 0.517052 0.345483i
\(724\) −5.98096 + 0.813980i −0.222280 + 0.0302513i
\(725\) 27.6642 5.50274i 1.02742 0.204367i
\(726\) −30.2694 21.5909i −1.12340 0.801315i
\(727\) −13.0674 + 31.5476i −0.484645 + 1.17004i 0.472736 + 0.881204i \(0.343267\pi\)
−0.957380 + 0.288831i \(0.906733\pi\)
\(728\) −7.79546 + 0.819351i −0.288919 + 0.0303672i
\(729\) 0.382683 + 0.923880i 0.0141735 + 0.0342178i
\(730\) −0.899935 0.207766i −0.0333081 0.00768975i
\(731\) −1.29520 0.865425i −0.0479047 0.0320089i
\(732\) −2.49735 + 5.12035i −0.0923048 + 0.189254i
\(733\) 0.126205 0.634474i 0.00466148 0.0234348i −0.978385 0.206794i \(-0.933697\pi\)
0.983046 + 0.183359i \(0.0586971\pi\)
\(734\) 0.0746699 2.44402i 0.00275612 0.0902103i
\(735\) 0.0208340i 0.000768474i
\(736\) 7.50935 1.83755i 0.276798 0.0677330i
\(737\) 5.36447i 0.197603i
\(738\) 4.07425 + 0.124477i 0.149975 + 0.00458207i
\(739\) −7.25600 + 36.4784i −0.266916 + 1.34188i 0.581930 + 0.813239i \(0.302298\pi\)
−0.848846 + 0.528640i \(0.822702\pi\)
\(740\) −0.502153 1.45835i −0.0184595 0.0536101i
\(741\) 3.31043 + 2.21196i 0.121612 + 0.0812583i
\(742\) 3.03856 13.1615i 0.111549 0.483174i
\(743\) 9.80090 + 23.6615i 0.359560 + 0.868055i 0.995362 + 0.0962025i \(0.0306696\pi\)
−0.635802 + 0.771852i \(0.719330\pi\)
\(744\) 10.1368 + 18.6696i 0.371634 + 0.684461i
\(745\) 0.0706358 0.170530i 0.00258790 0.00624773i
\(746\) 14.1653 19.8590i 0.518628 0.727091i
\(747\) −8.51289 + 1.69332i −0.311470 + 0.0619553i
\(748\) 2.15244 + 1.63675i 0.0787012 + 0.0598456i
\(749\) −24.8756 + 16.6214i −0.908935 + 0.607331i
\(750\) −0.521297 1.37594i −0.0190351 0.0502421i
\(751\) 17.4307 + 17.4307i 0.636056 + 0.636056i 0.949580 0.313524i \(-0.101510\pi\)
−0.313524 + 0.949580i \(0.601510\pi\)
\(752\) −28.1871 36.0777i −1.02788 1.31562i
\(753\) 1.29654 1.29654i 0.0472487 0.0472487i
\(754\) 7.74716 + 3.48983i 0.282135 + 0.127092i
\(755\) 0.500089 + 0.748436i 0.0182001 + 0.0272384i
\(756\) 1.32783 5.04349i 0.0482928 0.183430i
\(757\) −8.43691 42.4152i −0.306645 1.54161i −0.759789 0.650170i \(-0.774698\pi\)
0.453144 0.891437i \(-0.350302\pi\)
\(758\) 7.60176 1.27210i 0.276108 0.0462049i
\(759\) 7.71030 + 3.19371i 0.279866 + 0.115924i
\(760\) 0.705723 + 0.848536i 0.0255993 + 0.0307796i
\(761\) 15.9677 6.61403i 0.578828 0.239758i −0.0740081 0.997258i \(-0.523579\pi\)
0.652836 + 0.757499i \(0.273579\pi\)
\(762\) −4.60460 7.36888i −0.166807 0.266946i
\(763\) 28.1082 42.0668i 1.01758 1.52292i
\(764\) 0.181468 2.96704i 0.00656529 0.107344i
\(765\) −0.0226173 0.00449886i −0.000817731 0.000162657i
\(766\) 2.47260 + 2.62845i 0.0893386 + 0.0949696i
\(767\) 12.5340 0.452577
\(768\) −14.4713 6.82503i −0.522189 0.246277i
\(769\) 40.4017 1.45692 0.728461 0.685087i \(-0.240236\pi\)
0.728461 + 0.685087i \(0.240236\pi\)
\(770\) −1.60715 1.70845i −0.0579177 0.0615682i
\(771\) −19.6818 3.91496i −0.708823 0.140994i
\(772\) −1.30163 + 21.2819i −0.0468466 + 0.765952i
\(773\) 7.82931 11.7174i 0.281601 0.421445i −0.663524 0.748155i \(-0.730940\pi\)