Properties

Label 930.2.br.a.11.15
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.15
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.730003 - 1.57070i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.17965 - 1.26824i) q^{6} +(0.0245947 + 0.234003i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-1.93419 + 2.29323i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.730003 - 1.57070i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.17965 - 1.26824i) q^{6} +(0.0245947 + 0.234003i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-1.93419 + 2.29323i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-1.45178 - 0.646376i) q^{11} +(-1.51382 - 0.841637i) q^{12} +(-1.21131 - 5.69874i) q^{13} +(0.0957017 + 0.214950i) q^{14} +(1.41755 + 0.995264i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.90661 + 1.73934i) q^{17} +(-1.13088 + 2.77869i) q^{18} +(0.572761 + 0.121744i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(0.349594 - 0.209453i) q^{21} +(-1.58047 - 0.166114i) q^{22} +(-7.46724 - 5.42527i) q^{23} +(-1.69981 - 0.332649i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-2.91303 - 5.04551i) q^{26} +(5.01394 + 1.36397i) q^{27} +(0.157441 + 0.174856i) q^{28} +(-0.549440 - 1.69100i) q^{29} +(1.65572 + 0.508505i) q^{30} +(-5.48177 + 0.974763i) q^{31} -1.00000i q^{32} +(0.0445444 + 2.75217i) q^{33} +(-3.17793 + 2.86142i) q^{34} +(-0.138301 - 0.190355i) q^{35} +(-0.216867 + 2.99215i) q^{36} +(0.834092 + 0.481563i) q^{37} +(0.582349 - 0.0612073i) q^{38} +(-8.06676 + 6.06270i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(5.53676 + 4.98532i) q^{41} +(0.267759 - 0.307232i) q^{42} +(0.201044 - 0.945836i) q^{43} +(-1.55445 + 0.330408i) q^{44} +(0.528444 - 2.95309i) q^{45} +(-8.77827 - 2.85223i) q^{46} +(-7.81614 - 2.53962i) q^{47} +(-1.71941 + 0.208901i) q^{48} +(6.79288 - 1.44387i) q^{49} +(0.207912 - 0.978148i) q^{50} +(5.58381 + 4.86639i) q^{51} +(-4.32960 - 3.89839i) q^{52} +(0.193679 - 1.84273i) q^{53} +(5.19003 - 0.252181i) q^{54} +(1.58047 - 0.166114i) q^{55} +(0.203769 + 0.117646i) q^{56} +(-0.226894 - 0.988508i) q^{57} +(-1.04510 - 1.43845i) q^{58} +(-2.88510 + 2.59776i) q^{59} +(1.73182 - 0.0280299i) q^{60} -5.54239i q^{61} +(-4.91226 + 2.62102i) q^{62} +(-0.584193 - 0.396205i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(3.89839 + 4.32960i) q^{65} +(0.892832 + 2.60371i) q^{66} +(2.84513 + 4.92790i) q^{67} +(-2.13816 + 3.70340i) q^{68} +(-3.07036 + 15.6893i) q^{69} +(-0.190355 - 0.138301i) q^{70} +(13.9140 + 1.46242i) q^{71} +(0.718372 + 2.91272i) q^{72} +(-6.83385 + 15.3491i) q^{73} +(0.942080 + 0.200245i) q^{74} +(-1.72527 - 0.153149i) q^{75} +(0.534933 - 0.238167i) q^{76} +(0.115548 - 0.355619i) q^{77} +(-5.79847 + 8.25873i) q^{78} +(-5.16130 - 11.5925i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-1.51780 - 8.87109i) q^{81} +(6.80632 + 3.03037i) q^{82} +(10.2545 - 11.3888i) q^{83} +(0.159714 - 0.374937i) q^{84} +(2.51356 - 3.45962i) q^{85} +(-0.101076 - 0.961670i) q^{86} +(-2.25496 + 2.09744i) q^{87} +(-1.37627 + 0.794588i) q^{88} +(-14.8213 + 10.7683i) q^{89} +(-0.409975 - 2.97185i) q^{90} +(1.30373 - 0.423607i) q^{91} -9.23002 q^{92} +(5.53277 + 7.89864i) q^{93} -8.21838 q^{94} +(-0.556897 + 0.180947i) q^{95} +(-1.57070 + 0.730003i) q^{96} +(5.67058 - 4.11992i) q^{97} +(6.01423 - 3.47232i) q^{98} +(4.29032 - 2.07906i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) −0.730003 1.57070i −0.421467 0.906844i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −1.17965 1.26824i −0.481589 0.517757i
\(7\) 0.0245947 + 0.234003i 0.00929591 + 0.0884447i 0.998186 0.0602027i \(-0.0191747\pi\)
−0.988890 + 0.148647i \(0.952508\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −1.93419 + 2.29323i −0.644731 + 0.764410i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −1.45178 0.646376i −0.437729 0.194890i 0.176027 0.984385i \(-0.443675\pi\)
−0.613756 + 0.789496i \(0.710342\pi\)
\(12\) −1.51382 0.841637i −0.437002 0.242960i
\(13\) −1.21131 5.69874i −0.335956 1.58055i −0.744381 0.667755i \(-0.767255\pi\)
0.408425 0.912792i \(-0.366078\pi\)
\(14\) 0.0957017 + 0.214950i 0.0255774 + 0.0574477i
\(15\) 1.41755 + 0.995264i 0.366010 + 0.256976i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −3.90661 + 1.73934i −0.947493 + 0.421851i −0.821518 0.570182i \(-0.806873\pi\)
−0.125975 + 0.992033i \(0.540206\pi\)
\(18\) −1.13088 + 2.77869i −0.266551 + 0.654943i
\(19\) 0.572761 + 0.121744i 0.131400 + 0.0279300i 0.273142 0.961974i \(-0.411937\pi\)
−0.141742 + 0.989904i \(0.545270\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 0.349594 0.209453i 0.0762876 0.0457065i
\(22\) −1.58047 0.166114i −0.336957 0.0354156i
\(23\) −7.46724 5.42527i −1.55703 1.13125i −0.938394 0.345568i \(-0.887686\pi\)
−0.618635 0.785679i \(-0.712314\pi\)
\(24\) −1.69981 0.332649i −0.346972 0.0679017i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −2.91303 5.04551i −0.571292 0.989507i
\(27\) 5.01394 + 1.36397i 0.964933 + 0.262496i
\(28\) 0.157441 + 0.174856i 0.0297535 + 0.0330446i
\(29\) −0.549440 1.69100i −0.102028 0.314011i 0.886993 0.461783i \(-0.152790\pi\)
−0.989022 + 0.147771i \(0.952790\pi\)
\(30\) 1.65572 + 0.508505i 0.302292 + 0.0928399i
\(31\) −5.48177 + 0.974763i −0.984556 + 0.175073i
\(32\) 1.00000i 0.176777i
\(33\) 0.0445444 + 2.75217i 0.00775418 + 0.479092i
\(34\) −3.17793 + 2.86142i −0.545010 + 0.490729i
\(35\) −0.138301 0.190355i −0.0233771 0.0321759i
\(36\) −0.216867 + 2.99215i −0.0361446 + 0.498692i
\(37\) 0.834092 + 0.481563i 0.137124 + 0.0791685i 0.566993 0.823723i \(-0.308107\pi\)
−0.429869 + 0.902891i \(0.641440\pi\)
\(38\) 0.582349 0.0612073i 0.0944695 0.00992914i
\(39\) −8.06676 + 6.06270i −1.29171 + 0.970808i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) 5.53676 + 4.98532i 0.864697 + 0.778576i 0.976582 0.215145i \(-0.0690223\pi\)
−0.111886 + 0.993721i \(0.535689\pi\)
\(42\) 0.267759 0.307232i 0.0413161 0.0474070i
\(43\) 0.201044 0.945836i 0.0306589 0.144239i −0.960156 0.279465i \(-0.909843\pi\)
0.990815 + 0.135226i \(0.0431762\pi\)
\(44\) −1.55445 + 0.330408i −0.234342 + 0.0498109i
\(45\) 0.528444 2.95309i 0.0787758 0.440221i
\(46\) −8.77827 2.85223i −1.29429 0.420539i
\(47\) −7.81614 2.53962i −1.14010 0.370442i −0.322695 0.946503i \(-0.604589\pi\)
−0.817406 + 0.576061i \(0.804589\pi\)
\(48\) −1.71941 + 0.208901i −0.248175 + 0.0301523i
\(49\) 6.79288 1.44387i 0.970412 0.206267i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 5.58381 + 4.86639i 0.781890 + 0.681432i
\(52\) −4.32960 3.89839i −0.600408 0.540610i
\(53\) 0.193679 1.84273i 0.0266038 0.253119i −0.973134 0.230238i \(-0.926050\pi\)
0.999738 0.0228807i \(-0.00728379\pi\)
\(54\) 5.19003 0.252181i 0.706274 0.0343174i
\(55\) 1.58047 0.166114i 0.213110 0.0223988i
\(56\) 0.203769 + 0.117646i 0.0272297 + 0.0157211i
\(57\) −0.226894 0.988508i −0.0300528 0.130931i
\(58\) −1.04510 1.43845i −0.137228 0.188878i
\(59\) −2.88510 + 2.59776i −0.375608 + 0.338199i −0.835215 0.549923i \(-0.814657\pi\)
0.459607 + 0.888122i \(0.347990\pi\)
\(60\) 1.73182 0.0280299i 0.223578 0.00361864i
\(61\) 5.54239i 0.709630i −0.934937 0.354815i \(-0.884544\pi\)
0.934937 0.354815i \(-0.115456\pi\)
\(62\) −4.91226 + 2.62102i −0.623857 + 0.332869i
\(63\) −0.584193 0.396205i −0.0736014 0.0499171i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 3.89839 + 4.32960i 0.483536 + 0.537021i
\(66\) 0.892832 + 2.60371i 0.109900 + 0.320494i
\(67\) 2.84513 + 4.92790i 0.347588 + 0.602039i 0.985820 0.167804i \(-0.0536676\pi\)
−0.638233 + 0.769843i \(0.720334\pi\)
\(68\) −2.13816 + 3.70340i −0.259290 + 0.449104i
\(69\) −3.07036 + 15.6893i −0.369628 + 1.88876i
\(70\) −0.190355 0.138301i −0.0227518 0.0165301i
\(71\) 13.9140 + 1.46242i 1.65129 + 0.173558i 0.883918 0.467642i \(-0.154896\pi\)
0.767374 + 0.641199i \(0.221563\pi\)
\(72\) 0.718372 + 2.91272i 0.0846610 + 0.343267i
\(73\) −6.83385 + 15.3491i −0.799842 + 1.79647i −0.233380 + 0.972386i \(0.574978\pi\)
−0.566462 + 0.824088i \(0.691688\pi\)
\(74\) 0.942080 + 0.200245i 0.109515 + 0.0232780i
\(75\) −1.72527 0.153149i −0.199217 0.0176841i
\(76\) 0.534933 0.238167i 0.0613610 0.0273197i
\(77\) 0.115548 0.355619i 0.0131679 0.0405265i
\(78\) −5.79847 + 8.25873i −0.656547 + 0.935117i
\(79\) −5.16130 11.5925i −0.580691 1.30425i −0.930108 0.367286i \(-0.880287\pi\)
0.349417 0.936967i \(-0.386380\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) −1.51780 8.87109i −0.168645 0.985677i
\(82\) 6.80632 + 3.03037i 0.751632 + 0.334648i
\(83\) 10.2545 11.3888i 1.12558 1.25008i 0.160806 0.986986i \(-0.448591\pi\)
0.964770 0.263093i \(-0.0847426\pi\)
\(84\) 0.159714 0.374937i 0.0174262 0.0409090i
\(85\) 2.51356 3.45962i 0.272634 0.375248i
\(86\) −0.101076 0.961670i −0.0108993 0.103699i
\(87\) −2.25496 + 2.09744i −0.241757 + 0.224869i
\(88\) −1.37627 + 0.794588i −0.146710 + 0.0847033i
\(89\) −14.8213 + 10.7683i −1.57105 + 1.14144i −0.644915 + 0.764255i \(0.723107\pi\)
−0.926139 + 0.377182i \(0.876893\pi\)
\(90\) −0.409975 2.97185i −0.0432151 0.313261i
\(91\) 1.30373 0.423607i 0.136668 0.0444061i
\(92\) −9.23002 −0.962296
\(93\) 5.53277 + 7.89864i 0.573721 + 0.819050i
\(94\) −8.21838 −0.847661
\(95\) −0.556897 + 0.180947i −0.0571365 + 0.0185648i
\(96\) −1.57070 + 0.730003i −0.160309 + 0.0745056i
\(97\) 5.67058 4.11992i 0.575760 0.418314i −0.261433 0.965222i \(-0.584195\pi\)
0.837193 + 0.546907i \(0.184195\pi\)
\(98\) 6.01423 3.47232i 0.607529 0.350757i
\(99\) 4.29032 2.07906i 0.431193 0.208953i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 5.98156 8.23291i 0.595187 0.819205i −0.400070 0.916485i \(-0.631014\pi\)
0.995257 + 0.0972795i \(0.0310141\pi\)
\(102\) 6.81432 + 2.90272i 0.674718 + 0.287412i
\(103\) 6.82296 7.57767i 0.672287 0.746650i −0.306424 0.951895i \(-0.599133\pi\)
0.978711 + 0.205245i \(0.0657992\pi\)
\(104\) −5.32237 2.36967i −0.521901 0.232365i
\(105\) −0.198030 + 0.356189i −0.0193258 + 0.0347605i
\(106\) −0.385236 1.81239i −0.0374174 0.176035i
\(107\) −7.56288 16.9865i −0.731131 1.64215i −0.766070 0.642757i \(-0.777790\pi\)
0.0349393 0.999389i \(-0.488876\pi\)
\(108\) 4.85808 1.84365i 0.467469 0.177405i
\(109\) −3.61225 + 11.1174i −0.345990 + 1.06485i 0.615061 + 0.788480i \(0.289131\pi\)
−0.961051 + 0.276370i \(0.910869\pi\)
\(110\) 1.45178 0.646376i 0.138422 0.0616295i
\(111\) 0.147501 1.66165i 0.0140002 0.157717i
\(112\) 0.230150 + 0.0489199i 0.0217471 + 0.00462249i
\(113\) 3.90181 8.76362i 0.367052 0.824412i −0.631736 0.775184i \(-0.717657\pi\)
0.998788 0.0492280i \(-0.0156761\pi\)
\(114\) −0.521255 0.870013i −0.0488200 0.0814842i
\(115\) 9.17946 + 0.964800i 0.855989 + 0.0899681i
\(116\) −1.43845 1.04510i −0.133557 0.0970348i
\(117\) 15.4114 + 8.24466i 1.42479 + 0.762219i
\(118\) −1.94114 + 3.36216i −0.178697 + 0.309512i
\(119\) −0.503091 0.871380i −0.0461183 0.0798792i
\(120\) 1.63840 0.561821i 0.149565 0.0512870i
\(121\) −5.67056 6.29780i −0.515506 0.572527i
\(122\) −1.71269 5.27112i −0.155060 0.477225i
\(123\) 3.78859 12.3359i 0.341606 1.11229i
\(124\) −3.86190 + 4.01071i −0.346809 + 0.360172i
\(125\) 1.00000i 0.0894427i
\(126\) −0.678034 0.196288i −0.0604041 0.0174867i
\(127\) 10.1245 9.11616i 0.898406 0.808928i −0.0838490 0.996478i \(-0.526721\pi\)
0.982255 + 0.187550i \(0.0600547\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −1.63239 + 0.374684i −0.143724 + 0.0329891i
\(130\) 5.04551 + 2.91303i 0.442521 + 0.255490i
\(131\) −2.96849 + 0.312000i −0.259358 + 0.0272596i −0.233315 0.972401i \(-0.574957\pi\)
−0.0260429 + 0.999661i \(0.508291\pi\)
\(132\) 1.65372 + 2.20037i 0.143938 + 0.191518i
\(133\) −0.0144016 + 0.137022i −0.00124877 + 0.0118813i
\(134\) 4.22868 + 3.80752i 0.365303 + 0.328920i
\(135\) −5.02418 + 1.32574i −0.432413 + 0.114101i
\(136\) −0.889097 + 4.18287i −0.0762395 + 0.358678i
\(137\) 9.57679 2.03561i 0.818201 0.173914i 0.220246 0.975444i \(-0.429314\pi\)
0.597954 + 0.801530i \(0.295981\pi\)
\(138\) 1.92816 + 15.8702i 0.164136 + 1.35096i
\(139\) 1.51445 + 0.492075i 0.128454 + 0.0417373i 0.372539 0.928017i \(-0.378487\pi\)
−0.244084 + 0.969754i \(0.578487\pi\)
\(140\) −0.223776 0.0727091i −0.0189125 0.00614504i
\(141\) 1.71683 + 14.1307i 0.144583 + 1.19002i
\(142\) 13.6850 2.90883i 1.14842 0.244103i
\(143\) −1.92498 + 9.05630i −0.160975 + 0.757326i
\(144\) 1.58329 + 2.54817i 0.131941 + 0.212348i
\(145\) 1.32133 + 1.18973i 0.109731 + 0.0988018i
\(146\) −1.75625 + 16.7096i −0.145348 + 1.38290i
\(147\) −7.22671 9.61554i −0.596049 0.793077i
\(148\) 0.957850 0.100674i 0.0787348 0.00827536i
\(149\) 14.5438 + 8.39688i 1.19148 + 0.687899i 0.958641 0.284617i \(-0.0918666\pi\)
0.232835 + 0.972516i \(0.425200\pi\)
\(150\) −1.68815 + 0.387484i −0.137837 + 0.0316379i
\(151\) −4.30219 5.92146i −0.350107 0.481881i 0.597252 0.802054i \(-0.296259\pi\)
−0.947359 + 0.320172i \(0.896259\pi\)
\(152\) 0.435153 0.391814i 0.0352956 0.0317803i
\(153\) 3.56744 12.3230i 0.288411 0.996253i
\(154\) 0.373920i 0.0301313i
\(155\) 4.25997 3.58506i 0.342169 0.287959i
\(156\) −2.96258 + 9.64634i −0.237196 + 0.772326i
\(157\) −3.66155 11.2691i −0.292224 0.899372i −0.984140 0.177394i \(-0.943233\pi\)
0.691916 0.721978i \(-0.256767\pi\)
\(158\) −8.49095 9.43016i −0.675504 0.750223i
\(159\) −3.03576 + 1.04099i −0.240752 + 0.0825557i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 1.08587 1.88079i 0.0855788 0.148227i
\(162\) −4.18484 7.96788i −0.328792 0.626016i
\(163\) 1.36435 + 0.991259i 0.106864 + 0.0776414i 0.639934 0.768430i \(-0.278962\pi\)
−0.533070 + 0.846071i \(0.678962\pi\)
\(164\) 7.40963 + 0.778784i 0.578595 + 0.0608128i
\(165\) −1.41466 2.36118i −0.110131 0.183817i
\(166\) 6.23328 14.0002i 0.483796 1.08662i
\(167\) 8.24880 + 1.75334i 0.638311 + 0.135677i 0.515689 0.856776i \(-0.327536\pi\)
0.122623 + 0.992453i \(0.460869\pi\)
\(168\) 0.0360346 0.405941i 0.00278013 0.0313190i
\(169\) −19.1323 + 8.51826i −1.47172 + 0.655251i
\(170\) 1.32146 4.06702i 0.101351 0.311926i
\(171\) −1.38702 + 1.07800i −0.106068 + 0.0824364i
\(172\) −0.393301 0.883368i −0.0299889 0.0673562i
\(173\) 4.41054 + 20.7500i 0.335327 + 1.57759i 0.746088 + 0.665847i \(0.231930\pi\)
−0.410761 + 0.911743i \(0.634737\pi\)
\(174\) −1.49645 + 2.69161i −0.113446 + 0.204050i
\(175\) 0.214950 + 0.0957017i 0.0162487 + 0.00723437i
\(176\) −1.06337 + 1.18099i −0.0801542 + 0.0890203i
\(177\) 6.18643 + 2.63526i 0.465001 + 0.198078i
\(178\) −10.7683 + 14.8213i −0.807118 + 1.11090i
\(179\) −0.299958 2.85391i −0.0224199 0.213312i −0.999996 0.00273012i \(-0.999131\pi\)
0.977576 0.210581i \(-0.0675357\pi\)
\(180\) −1.30826 2.69971i −0.0975122 0.201225i
\(181\) 7.52031 4.34186i 0.558981 0.322728i −0.193756 0.981050i \(-0.562067\pi\)
0.752736 + 0.658322i \(0.228734\pi\)
\(182\) 1.10902 0.805749i 0.0822059 0.0597261i
\(183\) −8.70542 + 4.04596i −0.643523 + 0.299086i
\(184\) −8.77827 + 2.85223i −0.647143 + 0.210269i
\(185\) −0.963126 −0.0708105
\(186\) 7.70279 + 5.80233i 0.564796 + 0.425448i
\(187\) 6.79582 0.496960
\(188\) −7.81614 + 2.53962i −0.570051 + 0.185221i
\(189\) −0.195856 + 1.20682i −0.0142464 + 0.0877834i
\(190\) −0.473725 + 0.344182i −0.0343676 + 0.0249696i
\(191\) 12.6416 7.29863i 0.914713 0.528110i 0.0327687 0.999463i \(-0.489568\pi\)
0.881945 + 0.471353i \(0.156234\pi\)
\(192\) −1.26824 + 1.17965i −0.0915274 + 0.0851337i
\(193\) −2.15689 20.5214i −0.155256 1.47716i −0.743640 0.668581i \(-0.766902\pi\)
0.588384 0.808582i \(-0.299764\pi\)
\(194\) 4.11992 5.67058i 0.295793 0.407124i
\(195\) 3.95467 9.28383i 0.283200 0.664829i
\(196\) 4.64687 5.16087i 0.331919 0.368634i
\(197\) −2.14512 0.955070i −0.152834 0.0680460i 0.328894 0.944367i \(-0.393324\pi\)
−0.481728 + 0.876321i \(0.659991\pi\)
\(198\) 3.43787 3.30308i 0.244319 0.234740i
\(199\) −3.17450 14.9348i −0.225034 1.05870i −0.935050 0.354516i \(-0.884646\pi\)
0.710016 0.704186i \(-0.248688\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 5.66330 8.06622i 0.399459 0.568947i
\(202\) 3.14469 9.67837i 0.221260 0.680968i
\(203\) 0.382186 0.170160i 0.0268242 0.0119429i
\(204\) 7.37780 + 0.654913i 0.516549 + 0.0458531i
\(205\) −7.28764 1.54903i −0.508991 0.108189i
\(206\) 4.14740 9.31520i 0.288963 0.649021i
\(207\) 26.8845 6.63059i 1.86860 0.460858i
\(208\) −5.79414 0.608989i −0.401751 0.0422258i
\(209\) −0.752832 0.546965i −0.0520745 0.0378343i
\(210\) −0.0782695 + 0.399950i −0.00540111 + 0.0275992i
\(211\) −8.45337 + 14.6417i −0.581954 + 1.00797i 0.413294 + 0.910598i \(0.364378\pi\)
−0.995248 + 0.0973762i \(0.968955\pi\)
\(212\) −0.926441 1.60464i −0.0636282 0.110207i
\(213\) −7.86026 22.9223i −0.538576 1.57061i
\(214\) −12.4418 13.8181i −0.850507 0.944583i
\(215\) 0.298809 + 0.919640i 0.0203786 + 0.0627189i
\(216\) 4.05059 3.25464i 0.275608 0.221450i
\(217\) −0.362920 1.25878i −0.0246366 0.0854513i
\(218\) 11.6895i 0.791711i
\(219\) 29.0975 0.470948i 1.96623 0.0318237i
\(220\) 1.18099 1.06337i 0.0796221 0.0716921i
\(221\) 14.6441 + 20.1559i 0.985071 + 1.35583i
\(222\) −0.373196 1.62590i −0.0250473 0.109123i
\(223\) −11.1904 6.46079i −0.749366 0.432647i 0.0760988 0.997100i \(-0.475754\pi\)
−0.825465 + 0.564454i \(0.809087\pi\)
\(224\) 0.234003 0.0245947i 0.0156350 0.00164330i
\(225\) 1.01890 + 2.82167i 0.0679266 + 0.188112i
\(226\) 1.00274 9.54042i 0.0667012 0.634619i
\(227\) −1.41382 1.27301i −0.0938386 0.0844926i 0.620876 0.783909i \(-0.286777\pi\)
−0.714715 + 0.699416i \(0.753444\pi\)
\(228\) −0.764592 0.666355i −0.0506363 0.0441305i
\(229\) −4.34732 + 20.4526i −0.287279 + 1.35154i 0.563542 + 0.826087i \(0.309438\pi\)
−0.850821 + 0.525455i \(0.823895\pi\)
\(230\) 9.02832 1.91903i 0.595310 0.126537i
\(231\) −0.642920 + 0.0781123i −0.0423010 + 0.00513941i
\(232\) −1.69100 0.549440i −0.111020 0.0360725i
\(233\) 9.30190 + 3.02237i 0.609388 + 0.198002i 0.597423 0.801926i \(-0.296191\pi\)
0.0119648 + 0.999928i \(0.496191\pi\)
\(234\) 17.2049 + 3.07875i 1.12472 + 0.201264i
\(235\) 8.03879 1.70870i 0.524393 0.111463i
\(236\) −0.807173 + 3.79745i −0.0525425 + 0.247193i
\(237\) −14.4405 + 16.5694i −0.938012 + 1.07630i
\(238\) −0.747739 0.673268i −0.0484687 0.0436415i
\(239\) −1.09867 + 10.4532i −0.0710672 + 0.676159i 0.899761 + 0.436383i \(0.143741\pi\)
−0.970828 + 0.239776i \(0.922926\pi\)
\(240\) 1.38460 1.04062i 0.0893755 0.0671716i
\(241\) −15.5369 + 1.63300i −1.00082 + 0.105190i −0.590743 0.806860i \(-0.701165\pi\)
−0.410078 + 0.912051i \(0.634498\pi\)
\(242\) −7.33915 4.23726i −0.471779 0.272381i
\(243\) −12.8258 + 8.85994i −0.822776 + 0.568365i
\(244\) −3.25773 4.48389i −0.208555 0.287051i
\(245\) −5.16087 + 4.64687i −0.329716 + 0.296878i
\(246\) −0.208835 12.9029i −0.0133148 0.822656i
\(247\) 3.41149i 0.217068i
\(248\) −2.43351 + 5.00780i −0.154528 + 0.317996i
\(249\) −25.3741 7.79289i −1.60802 0.493854i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) 8.07287 + 8.96583i 0.509555 + 0.565918i 0.941944 0.335769i \(-0.108996\pi\)
−0.432389 + 0.901687i \(0.642329\pi\)
\(252\) −0.705505 + 0.0228434i −0.0444426 + 0.00143900i
\(253\) 7.33406 + 12.7030i 0.461088 + 0.798629i
\(254\) 6.81194 11.7986i 0.427419 0.740312i
\(255\) −7.26892 1.42251i −0.455198 0.0890813i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −1.91475 0.201248i −0.119439 0.0125535i 0.0446205 0.999004i \(-0.485792\pi\)
−0.164059 + 0.986450i \(0.552459\pi\)
\(258\) −1.43671 + 0.860781i −0.0894455 + 0.0535899i
\(259\) −0.0921729 + 0.207024i −0.00572734 + 0.0128638i
\(260\) 5.69874 + 1.21131i 0.353421 + 0.0751220i
\(261\) 4.94058 + 2.01073i 0.305814 + 0.124461i
\(262\) −2.72678 + 1.21404i −0.168461 + 0.0750038i
\(263\) −0.545687 + 1.67945i −0.0336485 + 0.103559i −0.966470 0.256779i \(-0.917339\pi\)
0.932822 + 0.360338i \(0.117339\pi\)
\(264\) 2.25274 + 1.58165i 0.138646 + 0.0973438i
\(265\) 0.753635 + 1.69269i 0.0462954 + 0.103981i
\(266\) 0.0286454 + 0.134766i 0.00175636 + 0.00826302i
\(267\) 27.7333 + 15.4189i 1.69725 + 0.943621i
\(268\) 5.19831 + 2.31443i 0.317537 + 0.141377i
\(269\) −9.65595 + 10.7240i −0.588734 + 0.653855i −0.961737 0.273975i \(-0.911661\pi\)
0.373003 + 0.927830i \(0.378328\pi\)
\(270\) −4.36861 + 2.81341i −0.265865 + 0.171219i
\(271\) 2.62225 3.60922i 0.159290 0.219245i −0.721910 0.691987i \(-0.756736\pi\)
0.881201 + 0.472742i \(0.156736\pi\)
\(272\) 0.446997 + 4.25290i 0.0271032 + 0.257870i
\(273\) −1.61709 1.73853i −0.0978705 0.105221i
\(274\) 8.47903 4.89537i 0.512237 0.295740i
\(275\) −1.28567 + 0.934094i −0.0775288 + 0.0563280i
\(276\) 6.73794 + 14.4976i 0.405576 + 0.872652i
\(277\) 10.1435 3.29584i 0.609466 0.198028i 0.0120084 0.999928i \(-0.496178\pi\)
0.597458 + 0.801900i \(0.296178\pi\)
\(278\) 1.59239 0.0955051
\(279\) 8.36745 14.4563i 0.500946 0.865479i
\(280\) −0.235292 −0.0140614
\(281\) 7.01729 2.28006i 0.418617 0.136017i −0.0921322 0.995747i \(-0.529368\pi\)
0.510749 + 0.859730i \(0.329368\pi\)
\(282\) 5.99944 + 12.9086i 0.357262 + 0.768696i
\(283\) 4.17492 3.03325i 0.248173 0.180308i −0.456744 0.889598i \(-0.650984\pi\)
0.704917 + 0.709290i \(0.250984\pi\)
\(284\) 12.1163 6.99534i 0.718969 0.415097i
\(285\) 0.690750 + 0.742627i 0.0409165 + 0.0439894i
\(286\) 0.967790 + 9.20791i 0.0572266 + 0.544475i
\(287\) −1.03040 + 1.41823i −0.0608228 + 0.0837154i
\(288\) 2.29323 + 1.93419i 0.135130 + 0.113973i
\(289\) 0.861122 0.956372i 0.0506542 0.0562572i
\(290\) 1.62431 + 0.723188i 0.0953826 + 0.0424671i
\(291\) −10.6107 5.89922i −0.622009 0.345819i
\(292\) 3.49326 + 16.4345i 0.204428 + 0.961756i
\(293\) 1.81354 + 4.07328i 0.105948 + 0.237963i 0.958738 0.284290i \(-0.0917580\pi\)
−0.852790 + 0.522254i \(0.825091\pi\)
\(294\) −9.84438 6.91175i −0.574136 0.403101i
\(295\) 1.19969 3.69228i 0.0698488 0.214973i
\(296\) 0.879860 0.391739i 0.0511408 0.0227694i
\(297\) −6.39752 5.22108i −0.371222 0.302958i
\(298\) 16.4268 + 3.49162i 0.951577 + 0.202264i
\(299\) −21.8721 + 49.1256i −1.26490 + 2.84101i
\(300\) −1.48579 + 0.890187i −0.0857820 + 0.0513949i
\(301\) 0.226273 + 0.0237822i 0.0130421 + 0.00137078i
\(302\) −5.92146 4.30219i −0.340742 0.247563i
\(303\) −17.2980 3.38518i −0.993743 0.194474i
\(304\) 0.292778 0.507107i 0.0167920 0.0290846i
\(305\) 2.77119 + 4.79985i 0.158678 + 0.274839i
\(306\) −0.415169 12.8222i −0.0237336 0.732999i
\(307\) −15.4805 17.1928i −0.883516 0.981244i 0.116412 0.993201i \(-0.462861\pi\)
−0.999929 + 0.0119566i \(0.996194\pi\)
\(308\) −0.115548 0.355619i −0.00658393 0.0202633i
\(309\) −16.8830 5.18510i −0.960442 0.294970i
\(310\) 2.94363 4.72600i 0.167187 0.268418i
\(311\) 10.7909i 0.611895i 0.952048 + 0.305947i \(0.0989731\pi\)
−0.952048 + 0.305947i \(0.901027\pi\)
\(312\) 0.163304 + 10.0897i 0.00924525 + 0.571217i
\(313\) −14.5839 + 13.1314i −0.824332 + 0.742232i −0.968950 0.247255i \(-0.920471\pi\)
0.144618 + 0.989488i \(0.453805\pi\)
\(314\) −6.96468 9.58606i −0.393040 0.540973i
\(315\) 0.704028 + 0.0510271i 0.0396675 + 0.00287505i
\(316\) −10.9895 6.34476i −0.618205 0.356921i
\(317\) 17.0520 1.79223i 0.957734 0.100662i 0.387253 0.921973i \(-0.373424\pi\)
0.570480 + 0.821311i \(0.306757\pi\)
\(318\) −2.56550 + 1.92814i −0.143866 + 0.108125i
\(319\) −0.295355 + 2.81012i −0.0165367 + 0.157336i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) −21.1598 + 24.2792i −1.18102 + 1.35513i
\(322\) 0.451532 2.12429i 0.0251629 0.118382i
\(323\) −2.44931 + 0.520617i −0.136283 + 0.0289679i
\(324\) −6.44223 6.28472i −0.357901 0.349151i
\(325\) −5.54091 1.80035i −0.307354 0.0998655i
\(326\) 1.60389 + 0.521136i 0.0888313 + 0.0288630i
\(327\) 20.0990 2.44195i 1.11148 0.135040i
\(328\) 7.28764 1.54903i 0.402392 0.0855311i
\(329\) 0.402042 1.89146i 0.0221653 0.104280i
\(330\) −2.07507 1.80846i −0.114229 0.0995524i
\(331\) 10.3314 + 9.30240i 0.567863 + 0.511306i 0.902298 0.431113i \(-0.141879\pi\)
−0.334435 + 0.942419i \(0.608546\pi\)
\(332\) 1.60191 15.2411i 0.0879161 0.836466i
\(333\) −2.71763 + 0.981329i −0.148925 + 0.0537765i
\(334\) 8.38689 0.881497i 0.458910 0.0482334i
\(335\) −4.92790 2.84513i −0.269240 0.155446i
\(336\) −0.0911717 0.397208i −0.00497382 0.0216695i
\(337\) 3.32897 + 4.58194i 0.181341 + 0.249594i 0.890004 0.455953i \(-0.150701\pi\)
−0.708663 + 0.705547i \(0.750701\pi\)
\(338\) −15.5636 + 14.0136i −0.846551 + 0.762238i
\(339\) −16.6133 + 0.268890i −0.902313 + 0.0146041i
\(340\) 4.27632i 0.231916i
\(341\) 8.58841 + 2.12814i 0.465089 + 0.115245i
\(342\) −0.986012 + 1.45385i −0.0533174 + 0.0786150i
\(343\) 1.01390 + 3.12047i 0.0547456 + 0.168490i
\(344\) −0.647027 0.718596i −0.0348854 0.0387441i
\(345\) −5.18562 15.1225i −0.279184 0.814167i
\(346\) 10.6068 + 18.3715i 0.570223 + 0.987656i
\(347\) −2.00119 + 3.46616i −0.107429 + 0.186073i −0.914728 0.404070i \(-0.867595\pi\)
0.807299 + 0.590143i \(0.200929\pi\)
\(348\) −0.591459 + 3.02230i −0.0317055 + 0.162012i
\(349\) −13.8018 10.0276i −0.738791 0.536763i 0.153541 0.988142i \(-0.450932\pi\)
−0.892332 + 0.451379i \(0.850932\pi\)
\(350\) 0.234003 + 0.0245947i 0.0125080 + 0.00131464i
\(351\) 1.69950 30.2253i 0.0907126 1.61331i
\(352\) −0.646376 + 1.45178i −0.0344519 + 0.0773803i
\(353\) −12.8098 2.72281i −0.681798 0.144921i −0.146023 0.989281i \(-0.546647\pi\)
−0.535775 + 0.844361i \(0.679981\pi\)
\(354\) 6.69798 + 0.594567i 0.355994 + 0.0316009i
\(355\) −12.7811 + 5.69052i −0.678352 + 0.302022i
\(356\) −5.66123 + 17.4235i −0.300045 + 0.923442i
\(357\) −1.00142 + 1.42631i −0.0530006 + 0.0754886i
\(358\) −1.16719 2.62154i −0.0616877 0.138553i
\(359\) −4.89049 23.0079i −0.258110 1.21431i −0.895954 0.444147i \(-0.853507\pi\)
0.637844 0.770166i \(-0.279827\pi\)
\(360\) −2.07849 2.16330i −0.109546 0.114016i
\(361\) −17.0441 7.58854i −0.897059 0.399397i
\(362\) 5.81054 6.45325i 0.305395 0.339176i
\(363\) −5.75242 + 13.5042i −0.301924 + 0.708784i
\(364\) 0.805749 1.10902i 0.0422327 0.0581284i
\(365\) −1.75625 16.7096i −0.0919264 0.874621i
\(366\) −7.02908 + 6.53806i −0.367416 + 0.341750i
\(367\) 16.0420 9.26187i 0.837387 0.483466i −0.0189881 0.999820i \(-0.506044\pi\)
0.856375 + 0.516354i \(0.172711\pi\)
\(368\) −7.46724 + 5.42527i −0.389257 + 0.282812i
\(369\) −22.1416 + 3.05450i −1.15265 + 0.159011i
\(370\) −0.915988 + 0.297622i −0.0476199 + 0.0154727i
\(371\) 0.435968 0.0226343
\(372\) 9.11881 + 3.13805i 0.472788 + 0.162700i
\(373\) −3.74454 −0.193885 −0.0969424 0.995290i \(-0.530906\pi\)
−0.0969424 + 0.995290i \(0.530906\pi\)
\(374\) 6.46321 2.10003i 0.334205 0.108590i
\(375\) 1.57070 0.730003i 0.0811106 0.0376972i
\(376\) −6.64881 + 4.83064i −0.342886 + 0.249121i
\(377\) −8.97105 + 5.17944i −0.462033 + 0.266755i
\(378\) 0.186658 + 1.20828i 0.00960065 + 0.0621471i
\(379\) −0.262801 2.50039i −0.0134992 0.128436i 0.985697 0.168528i \(-0.0539015\pi\)
−0.999196 + 0.0400922i \(0.987235\pi\)
\(380\) −0.344182 + 0.473725i −0.0176561 + 0.0243016i
\(381\) −21.7097 9.24776i −1.11222 0.473777i
\(382\) 9.76747 10.8479i 0.499747 0.555025i
\(383\) −4.62812 2.06057i −0.236486 0.105290i 0.285072 0.958506i \(-0.407982\pi\)
−0.521558 + 0.853216i \(0.674649\pi\)
\(384\) −0.841637 + 1.51382i −0.0429496 + 0.0772517i
\(385\) 0.0777423 + 0.365749i 0.00396211 + 0.0186403i
\(386\) −8.39278 18.8505i −0.427181 0.959465i
\(387\) 1.78016 + 2.29047i 0.0904907 + 0.116431i
\(388\) 2.16597 6.66616i 0.109960 0.338423i
\(389\) 31.3934 13.9772i 1.59171 0.708675i 0.596155 0.802869i \(-0.296694\pi\)
0.995554 + 0.0941947i \(0.0300276\pi\)
\(390\) 0.892253 10.0515i 0.0451810 0.508978i
\(391\) 38.6080 + 8.20639i 1.95249 + 0.415015i
\(392\) 2.82464 6.34424i 0.142666 0.320433i
\(393\) 2.65706 + 4.43484i 0.134031 + 0.223708i
\(394\) −2.33527 0.245446i −0.117649 0.0123654i
\(395\) 10.2660 + 7.45872i 0.516541 + 0.375289i
\(396\) 2.24890 4.20378i 0.113011 0.211248i
\(397\) −13.6799 + 23.6942i −0.686573 + 1.18918i 0.286367 + 0.958120i \(0.407552\pi\)
−0.972940 + 0.231059i \(0.925781\pi\)
\(398\) −7.63424 13.2229i −0.382670 0.662804i
\(399\) 0.225733 0.0774058i 0.0113008 0.00387514i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 3.23828 + 9.96640i 0.161712 + 0.497698i 0.998779 0.0494023i \(-0.0157316\pi\)
−0.837067 + 0.547100i \(0.815732\pi\)
\(402\) 2.89352 9.42149i 0.144316 0.469901i
\(403\) 12.1950 + 30.0585i 0.607478 + 1.49732i
\(404\) 10.1764i 0.506297i
\(405\) 5.75000 + 6.92369i 0.285720 + 0.344041i
\(406\) 0.310898 0.279934i 0.0154296 0.0138929i
\(407\) −0.899650 1.23826i −0.0445940 0.0613784i
\(408\) 7.21908 1.65701i 0.357398 0.0820340i
\(409\) 8.60533 + 4.96829i 0.425506 + 0.245666i 0.697430 0.716653i \(-0.254327\pi\)
−0.271924 + 0.962319i \(0.587660\pi\)
\(410\) −7.40963 + 0.778784i −0.365936 + 0.0384614i
\(411\) −10.1884 13.5563i −0.502557 0.668681i
\(412\) 1.06585 10.1409i 0.0525107 0.499606i
\(413\) −0.678840 0.611231i −0.0334036 0.0300767i
\(414\) 23.5197 14.6138i 1.15593 0.718230i
\(415\) −3.18627 + 14.9902i −0.156408 + 0.735840i
\(416\) −5.69874 + 1.21131i −0.279404 + 0.0593891i
\(417\) −0.332652 2.73796i −0.0162900 0.134079i
\(418\) −0.885008 0.287556i −0.0432871 0.0140648i
\(419\) −14.2183 4.61982i −0.694611 0.225693i −0.0596301 0.998221i \(-0.518992\pi\)
−0.634981 + 0.772528i \(0.718992\pi\)
\(420\) 0.0491527 + 0.404562i 0.00239841 + 0.0197406i
\(421\) −10.5391 + 2.24015i −0.513643 + 0.109178i −0.457439 0.889241i \(-0.651233\pi\)
−0.0562045 + 0.998419i \(0.517900\pi\)
\(422\) −3.51511 + 16.5373i −0.171113 + 0.805023i
\(423\) 20.9419 13.0121i 1.01823 0.632670i
\(424\) −1.37696 1.23982i −0.0668711 0.0602110i
\(425\) −0.446997 + 4.25290i −0.0216826 + 0.206296i
\(426\) −14.5589 19.3715i −0.705383 0.938552i
\(427\) 1.29693 0.136313i 0.0627630 0.00659666i
\(428\) −16.1029 9.29702i −0.778363 0.449388i
\(429\) 15.6300 3.58757i 0.754622 0.173209i
\(430\) 0.568369 + 0.782292i 0.0274092 + 0.0377255i
\(431\) −28.8964 + 26.0184i −1.39189 + 1.25326i −0.461275 + 0.887257i \(0.652608\pi\)
−0.930613 + 0.366005i \(0.880725\pi\)
\(432\) 2.84660 4.34705i 0.136957 0.209148i
\(433\) 15.0113i 0.721398i 0.932682 + 0.360699i \(0.117462\pi\)
−0.932682 + 0.360699i \(0.882538\pi\)
\(434\) −0.734140 1.08502i −0.0352398 0.0520826i
\(435\) 0.904135 2.94392i 0.0433500 0.141150i
\(436\) 3.61225 + 11.1174i 0.172995 + 0.532425i
\(437\) −3.61645 4.01648i −0.172998 0.192134i
\(438\) 27.5278 9.43952i 1.31533 0.451038i
\(439\) −2.56978 4.45100i −0.122649 0.212435i 0.798162 0.602442i \(-0.205806\pi\)
−0.920812 + 0.390008i \(0.872472\pi\)
\(440\) 0.794588 1.37627i 0.0378805 0.0656109i
\(441\) −9.82761 + 18.3704i −0.467981 + 0.874779i
\(442\) 20.1559 + 14.6441i 0.958720 + 0.696551i
\(443\) 27.6026 + 2.90115i 1.31144 + 0.137838i 0.734309 0.678816i \(-0.237506\pi\)
0.577129 + 0.816653i \(0.304173\pi\)
\(444\) −0.857362 1.43100i −0.0406886 0.0679124i
\(445\) 7.45146 16.7363i 0.353233 0.793375i
\(446\) −12.6392 2.68655i −0.598484 0.127212i
\(447\) 2.57194 28.9737i 0.121649 1.37041i
\(448\) 0.214950 0.0957017i 0.0101554 0.00452148i
\(449\) 5.18694 15.9638i 0.244787 0.753376i −0.750885 0.660433i \(-0.770373\pi\)
0.995671 0.0929430i \(-0.0296274\pi\)
\(450\) 1.84098 + 2.36871i 0.0867844 + 0.111662i
\(451\) −4.81579 10.8164i −0.226767 0.509326i
\(452\) −1.99449 9.38334i −0.0938130 0.441355i
\(453\) −6.16022 + 11.0801i −0.289432 + 0.520590i
\(454\) −1.73800 0.773810i −0.0815686 0.0363167i
\(455\) −0.917259 + 1.01872i −0.0430018 + 0.0477583i
\(456\) −0.933085 0.397470i −0.0436957 0.0186132i
\(457\) −10.2081 + 14.0503i −0.477516 + 0.657245i −0.978025 0.208486i \(-0.933146\pi\)
0.500509 + 0.865731i \(0.333146\pi\)
\(458\) 2.18564 + 20.7949i 0.102128 + 0.971683i
\(459\) −21.9599 + 3.39243i −1.02500 + 0.158345i
\(460\) 7.99343 4.61501i 0.372696 0.215176i
\(461\) 7.22933 5.25242i 0.336704 0.244629i −0.406566 0.913621i \(-0.633274\pi\)
0.743270 + 0.668992i \(0.233274\pi\)
\(462\) −0.587315 + 0.272962i −0.0273244 + 0.0126994i
\(463\) 32.0277 10.4064i 1.48845 0.483628i 0.551827 0.833958i \(-0.313931\pi\)
0.936626 + 0.350330i \(0.113931\pi\)
\(464\) −1.77803 −0.0825428
\(465\) −8.74084 4.07404i −0.405347 0.188929i
\(466\) 9.78060 0.453077
\(467\) −20.2617 + 6.58343i −0.937600 + 0.304645i −0.737667 0.675165i \(-0.764073\pi\)
−0.199933 + 0.979810i \(0.564073\pi\)
\(468\) 17.3142 2.38854i 0.800349 0.110410i
\(469\) −1.08317 + 0.786968i −0.0500160 + 0.0363388i
\(470\) 7.11733 4.10919i 0.328298 0.189543i
\(471\) −15.0274 + 13.9777i −0.692427 + 0.644057i
\(472\) 0.405810 + 3.86102i 0.0186789 + 0.177718i
\(473\) −0.903238 + 1.24320i −0.0415309 + 0.0571624i
\(474\) −8.61352 + 20.2208i −0.395632 + 0.928771i
\(475\) 0.391814 0.435153i 0.0179777 0.0199662i
\(476\) −0.919194 0.409251i −0.0421312 0.0187580i
\(477\) 3.85120 + 4.00835i 0.176334 + 0.183530i
\(478\) 2.18531 + 10.2811i 0.0999536 + 0.470245i
\(479\) −10.1769 22.8578i −0.464997 1.04440i −0.982080 0.188465i \(-0.939649\pi\)
0.517083 0.855935i \(-0.327018\pi\)
\(480\) 0.995264 1.41755i 0.0454274 0.0647020i
\(481\) 1.73397 5.33660i 0.0790620 0.243328i
\(482\) −14.2719 + 6.35424i −0.650065 + 0.289428i
\(483\) −3.74684 0.332600i −0.170487 0.0151338i
\(484\) −8.28933 1.76195i −0.376788 0.0800887i
\(485\) −2.85091 + 6.40324i −0.129453 + 0.290756i
\(486\) −9.46020 + 12.3897i −0.429124 + 0.562008i
\(487\) −40.0422 4.20860i −1.81448 0.190710i −0.864421 0.502768i \(-0.832315\pi\)
−0.950063 + 0.312058i \(0.898982\pi\)
\(488\) −4.48389 3.25773i −0.202976 0.147471i
\(489\) 0.560990 2.86661i 0.0253688 0.129632i
\(490\) −3.47232 + 6.01423i −0.156863 + 0.271695i
\(491\) −9.92842 17.1965i −0.448063 0.776068i 0.550197 0.835035i \(-0.314553\pi\)
−0.998260 + 0.0589669i \(0.981219\pi\)
\(492\) −4.18582 12.2068i −0.188711 0.550326i
\(493\) 5.08767 + 5.65043i 0.229137 + 0.254483i
\(494\) −1.05421 3.24452i −0.0474310 0.145978i
\(495\) −2.67599 + 3.94568i −0.120277 + 0.177345i
\(496\) −0.766906 + 5.51469i −0.0344351 + 0.247617i
\(497\) 3.29189i 0.147661i
\(498\) −26.5404 + 0.429560i −1.18930 + 0.0192491i
\(499\) 8.13030 7.32055i 0.363962 0.327713i −0.466777 0.884375i \(-0.654585\pi\)
0.830739 + 0.556662i \(0.187918\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) −3.26768 14.2363i −0.145989 0.636032i
\(502\) 10.4483 + 6.03236i 0.466333 + 0.269237i
\(503\) −2.89209 + 0.303971i −0.128952 + 0.0135534i −0.168784 0.985653i \(-0.553984\pi\)
0.0398326 + 0.999206i \(0.487318\pi\)
\(504\) −0.663916 + 0.239738i −0.0295732 + 0.0106788i
\(505\) −1.06373 + 10.1207i −0.0473352 + 0.450365i
\(506\) 10.9005 + 9.81489i 0.484588 + 0.436325i
\(507\) 27.3463 + 23.8328i 1.21449 + 1.05845i
\(508\) 2.83257 13.3262i 0.125675 0.591253i
\(509\) −10.8821 + 2.31307i −0.482343 + 0.102525i −0.442664 0.896687i \(-0.645967\pi\)
−0.0396784 + 0.999213i \(0.512633\pi\)
\(510\) −7.35274 + 0.893329i −0.325585 + 0.0395573i
\(511\) −3.75980 1.22163i −0.166324 0.0540419i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 2.70573 + 1.39165i 0.119461 + 0.0614427i
\(514\) −1.88322 + 0.400292i −0.0830654 + 0.0176561i
\(515\) −2.12003 + 9.97394i −0.0934195 + 0.439504i
\(516\) −1.10039 + 1.26262i −0.0484422 + 0.0555837i
\(517\) 9.70580 + 8.73914i 0.426861 + 0.384347i
\(518\) −0.0236878 + 0.225374i −0.00104078 + 0.00990237i
\(519\) 29.3722 22.0752i 1.28930 0.968992i
\(520\) 5.79414 0.608989i 0.254090 0.0267059i
\(521\) −18.8898 10.9060i −0.827575 0.477801i 0.0254466 0.999676i \(-0.491899\pi\)
−0.853022 + 0.521875i \(0.825233\pi\)
\(522\) 5.32012 + 0.385596i 0.232855 + 0.0168771i
\(523\) −16.0372 22.0733i −0.701256 0.965196i −0.999941 0.0108445i \(-0.996548\pi\)
0.298685 0.954352i \(-0.403452\pi\)
\(524\) −2.21817 + 1.99725i −0.0969011 + 0.0872501i
\(525\) −0.00659519 0.407484i −0.000287838 0.0177840i
\(526\) 1.76588i 0.0769960i
\(527\) 19.7197 13.3427i 0.859005 0.581216i
\(528\) 2.63124 + 0.808104i 0.114510 + 0.0351682i
\(529\) 19.2188 + 59.1493i 0.835599 + 2.57171i
\(530\) 1.23982 + 1.37696i 0.0538543 + 0.0598113i
\(531\) −0.376914 11.6408i −0.0163567 0.505166i
\(532\) 0.0688883 + 0.119318i 0.00298669 + 0.00517309i
\(533\) 21.7034 37.5913i 0.940077 1.62826i
\(534\) 31.1407 + 6.09417i 1.34759 + 0.263721i
\(535\) 15.0429 + 10.9293i 0.650361 + 0.472515i
\(536\) 5.65908 + 0.594794i 0.244435 + 0.0256912i
\(537\) −4.26367 + 2.55451i −0.183991 + 0.110235i
\(538\) −5.86945 + 13.1830i −0.253050 + 0.568360i
\(539\) −10.7951 2.29456i −0.464977 0.0988339i
\(540\) −3.28540 + 4.02569i −0.141381 + 0.173238i
\(541\) 10.2641 4.56986i 0.441287 0.196474i −0.174052 0.984737i \(-0.555686\pi\)
0.615339 + 0.788263i \(0.289019\pi\)
\(542\) 1.37860 4.24289i 0.0592159 0.182248i
\(543\) −12.3096 8.64258i −0.528255 0.370889i
\(544\) 1.73934 + 3.90661i 0.0745734 + 0.167495i
\(545\) −2.43038 11.4340i −0.104106 0.489780i
\(546\) −2.07518 1.15374i −0.0888094 0.0493753i
\(547\) 1.09364 + 0.486922i 0.0467608 + 0.0208193i 0.429984 0.902837i \(-0.358519\pi\)
−0.383223 + 0.923656i \(0.625186\pi\)
\(548\) 6.55129 7.27594i 0.279857 0.310813i
\(549\) 12.7100 + 10.7200i 0.542448 + 0.457520i
\(550\) −0.934094 + 1.28567i −0.0398299 + 0.0548211i
\(551\) −0.108828 1.03543i −0.00463624 0.0441109i
\(552\) 10.8882 + 11.7059i 0.463431 + 0.498236i
\(553\) 2.58573 1.49287i 0.109956 0.0634833i
\(554\) 8.62861 6.26905i 0.366594 0.266346i
\(555\) 0.703085 + 1.51278i 0.0298443 + 0.0642140i
\(556\) 1.51445 0.492075i 0.0642270 0.0208686i
\(557\) −25.7087 −1.08931 −0.544656 0.838659i \(-0.683340\pi\)
−0.544656 + 0.838659i \(0.683340\pi\)
\(558\) 3.49066 16.3345i 0.147771 0.691494i
\(559\) −5.63360 −0.238276
\(560\) −0.223776 + 0.0727091i −0.00945625 + 0.00307252i
\(561\) −4.96097 10.6742i −0.209452 0.450665i
\(562\) 5.96927 4.33693i 0.251798 0.182942i
\(563\) 5.87739 3.39331i 0.247702 0.143011i −0.371009 0.928629i \(-0.620988\pi\)
0.618712 + 0.785618i \(0.287655\pi\)
\(564\) 9.69479 + 10.4229i 0.408224 + 0.438883i
\(565\) 1.00274 + 9.54042i 0.0421855 + 0.401369i
\(566\) 3.03325 4.17492i 0.127497 0.175485i
\(567\) 2.03853 0.573352i 0.0856102 0.0240785i
\(568\) 9.36159 10.3971i 0.392804 0.436253i
\(569\) 22.0862 + 9.83340i 0.925901 + 0.412238i 0.813592 0.581436i \(-0.197509\pi\)
0.112309 + 0.993673i \(0.464175\pi\)
\(570\) 0.886427 + 0.492826i 0.0371283 + 0.0206422i
\(571\) −7.17071 33.7356i −0.300085 1.41179i −0.827158 0.561969i \(-0.810044\pi\)
0.527073 0.849820i \(-0.323289\pi\)
\(572\) 3.76582 + 8.45818i 0.157457 + 0.353654i
\(573\) −20.6923 14.5281i −0.864435 0.606921i
\(574\) −0.541715 + 1.66723i −0.0226108 + 0.0695888i
\(575\) −8.43204 + 3.75419i −0.351641 + 0.156560i
\(576\) 2.77869 + 1.13088i 0.115779 + 0.0471199i
\(577\) −21.5034 4.57069i −0.895198 0.190280i −0.262733 0.964869i \(-0.584624\pi\)
−0.632466 + 0.774588i \(0.717957\pi\)
\(578\) 0.523440 1.17567i 0.0217722 0.0489012i
\(579\) −30.6584 + 18.3685i −1.27412 + 0.763369i
\(580\) 1.76829 + 0.185854i 0.0734241 + 0.00771718i
\(581\) 2.91721 + 2.11947i 0.121026 + 0.0879306i
\(582\) −11.9143 2.33161i −0.493865 0.0966484i
\(583\) −1.47228 + 2.55006i −0.0609755 + 0.105613i
\(584\) 8.40083 + 14.5507i 0.347629 + 0.602111i
\(585\) −17.4690 + 0.565626i −0.722255 + 0.0233858i
\(586\) 2.98349 + 3.31350i 0.123247 + 0.136880i
\(587\) −11.4484 35.2347i −0.472528 1.45429i −0.849263 0.527970i \(-0.822953\pi\)
0.376735 0.926321i \(-0.377047\pi\)
\(588\) −11.4984 3.53138i −0.474186 0.145632i
\(589\) −3.25842 0.109067i −0.134261 0.00449404i
\(590\) 3.88229i 0.159831i
\(591\) 0.0658178 + 4.06655i 0.00270738 + 0.167275i
\(592\) 0.715742 0.644457i 0.0294168 0.0264870i
\(593\) −1.72205 2.37020i −0.0707161 0.0973323i 0.772194 0.635387i \(-0.219159\pi\)
−0.842910 + 0.538055i \(0.819159\pi\)
\(594\) −7.69780 2.98860i −0.315845 0.122624i
\(595\) 0.871380 + 0.503091i 0.0357231 + 0.0206247i
\(596\) 16.7018 1.75543i 0.684131 0.0719050i
\(597\) −21.1407 + 15.8886i −0.865232 + 0.650279i
\(598\) −5.62098 + 53.4801i −0.229859 + 2.18696i
\(599\) −24.6722 22.2149i −1.00808 0.907677i −0.0123414 0.999924i \(-0.503928\pi\)
−0.995736 + 0.0922467i \(0.970595\pi\)
\(600\) −1.13799 + 1.30575i −0.0464581 + 0.0533071i
\(601\) 2.06812 9.72973i 0.0843603 0.396884i −0.915626 0.402030i \(-0.868305\pi\)
0.999987 + 0.00514613i \(0.00163807\pi\)
\(602\) 0.222547 0.0473039i 0.00907035 0.00192796i
\(603\) −16.8038 3.00698i −0.684305 0.122454i
\(604\) −6.96109 2.26180i −0.283243 0.0920312i
\(605\) 8.05975 + 2.61877i 0.327675 + 0.106468i
\(606\) −17.4974 + 2.12587i −0.710785 + 0.0863576i
\(607\) 45.4447 9.65957i 1.84454 0.392070i 0.853007 0.521900i \(-0.174776\pi\)
0.991536 + 0.129830i \(0.0414431\pi\)
\(608\) 0.121744 0.572761i 0.00493737 0.0232285i
\(609\) −0.546267 0.476082i −0.0221359 0.0192918i
\(610\) 4.11880 + 3.70858i 0.166765 + 0.150156i
\(611\) −5.00490 + 47.6185i −0.202477 + 1.92644i
\(612\) −4.35714 12.0664i −0.176127 0.487755i
\(613\) −0.770411 + 0.0809734i −0.0311166 + 0.00327049i −0.120074 0.992765i \(-0.538313\pi\)
0.0889574 + 0.996035i \(0.471647\pi\)
\(614\) −20.0357 11.5676i −0.808573 0.466830i
\(615\) 2.88693 + 12.5775i 0.116412 + 0.507173i
\(616\) −0.219784 0.302507i −0.00885537 0.0121884i
\(617\) −30.1490 + 27.1463i −1.21375 + 1.09287i −0.220684 + 0.975345i \(0.570829\pi\)
−0.993070 + 0.117524i \(0.962504\pi\)
\(618\) −17.6590 + 0.285814i −0.710349 + 0.0114971i
\(619\) 43.2387i 1.73791i 0.494890 + 0.868956i \(0.335209\pi\)
−0.494890 + 0.868956i \(0.664791\pi\)
\(620\) 1.33915 5.40432i 0.0537815 0.217043i
\(621\) −30.0404 37.3871i −1.20548 1.50029i
\(622\) 3.33457 + 10.2627i 0.133704 + 0.411498i
\(623\) −2.88433 3.20338i −0.115558 0.128341i
\(624\) 3.27320 + 9.54542i 0.131033 + 0.382123i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −9.81231 + 16.9954i −0.392179 + 0.679273i
\(627\) −0.309547 + 1.58176i −0.0123621 + 0.0631694i
\(628\) −9.58606 6.96468i −0.382526 0.277921i
\(629\) −4.09608 0.430515i −0.163321 0.0171658i
\(630\) 0.685339 0.169027i 0.0273045 0.00673420i
\(631\) −11.4622 + 25.7445i −0.456302 + 1.02487i 0.528140 + 0.849158i \(0.322890\pi\)
−0.984441 + 0.175713i \(0.943777\pi\)
\(632\) −12.4122 2.63830i −0.493732 0.104946i
\(633\) 29.1686 + 2.58924i 1.15935 + 0.102913i
\(634\) 15.6635 6.97386i 0.622079 0.276967i
\(635\) −4.21001 + 12.9571i −0.167069 + 0.514186i
\(636\) −1.84411 + 2.62655i −0.0731236 + 0.104150i
\(637\) −16.4565 36.9619i −0.652031 1.46448i
\(638\) 0.587474 + 2.76385i 0.0232583 + 0.109422i
\(639\) −30.2661 + 29.0795i −1.19731 + 1.15037i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 27.1348 30.1363i 1.07176 1.19031i 0.0908480 0.995865i \(-0.471042\pi\)
0.980913 0.194447i \(-0.0622911\pi\)
\(642\) −12.6214 + 29.6296i −0.498128 + 1.16939i
\(643\) −4.57473 + 6.29658i −0.180410 + 0.248313i −0.889638 0.456666i \(-0.849044\pi\)
0.709228 + 0.704979i \(0.249044\pi\)
\(644\) −0.227009 2.15985i −0.00894542 0.0851100i
\(645\) 1.22635 1.14068i 0.0482873 0.0449142i
\(646\) −2.16855 + 1.25201i −0.0853206 + 0.0492598i
\(647\) −0.364013 + 0.264471i −0.0143108 + 0.0103974i −0.594918 0.803787i \(-0.702815\pi\)
0.580607 + 0.814184i \(0.302815\pi\)
\(648\) −8.06901 3.98637i −0.316981 0.156599i
\(649\) 5.86767 1.90652i 0.230326 0.0748376i
\(650\) −5.82606 −0.228517
\(651\) −1.71223 + 1.48895i −0.0671074 + 0.0583564i
\(652\) 1.68643 0.0660457
\(653\) 11.7108 3.80507i 0.458279 0.148904i −0.0707745 0.997492i \(-0.522547\pi\)
0.529054 + 0.848588i \(0.322547\pi\)
\(654\) 18.3606 8.53335i 0.717958 0.333680i
\(655\) 2.41478 1.75444i 0.0943534 0.0685518i
\(656\) 6.45227 3.72522i 0.251919 0.145446i
\(657\) −21.9810 45.3596i −0.857560 1.76965i
\(658\) −0.202128 1.92312i −0.00787978 0.0749711i
\(659\) −9.03461 + 12.4351i −0.351938 + 0.484402i −0.947881 0.318626i \(-0.896779\pi\)
0.595942 + 0.803027i \(0.296779\pi\)
\(660\) −2.53235 1.07872i −0.0985717 0.0419890i
\(661\) −29.1471 + 32.3712i −1.13369 + 1.25909i −0.171960 + 0.985104i \(0.555010\pi\)
−0.961733 + 0.273989i \(0.911657\pi\)
\(662\) 12.7003 + 5.65454i 0.493611 + 0.219770i
\(663\) 20.9686 37.7154i 0.814354 1.46475i
\(664\) −3.18627 14.9902i −0.123651 0.581733i
\(665\) −0.0560388 0.125865i −0.00217309 0.00488084i
\(666\) −2.28137 + 1.77309i −0.0884013 + 0.0687059i
\(667\) −5.07134 + 15.6080i −0.196363 + 0.604344i
\(668\) 7.70401 3.43004i 0.298077 0.132712i
\(669\) −1.97892 + 22.2932i −0.0765096 + 0.861904i
\(670\) −5.56591 1.18307i −0.215030 0.0457060i
\(671\) −3.58247 + 8.04635i −0.138300 + 0.310626i
\(672\) −0.209453 0.349594i −0.00807984 0.0134859i
\(673\) 8.32249 + 0.874729i 0.320808 + 0.0337183i 0.263564 0.964642i \(-0.415102\pi\)
0.0572443 + 0.998360i \(0.481769\pi\)
\(674\) 4.58194 + 3.32897i 0.176490 + 0.128227i
\(675\) 3.68820 3.66021i 0.141959 0.140882i
\(676\) −10.4715 + 18.1371i −0.402749 + 0.697582i
\(677\) −6.75184 11.6945i −0.259494 0.449458i 0.706612 0.707601i \(-0.250223\pi\)
−0.966107 + 0.258144i \(0.916889\pi\)
\(678\) −15.7171 + 5.38953i −0.603613 + 0.206984i
\(679\) 1.10354 + 1.22560i 0.0423499 + 0.0470343i
\(680\) −1.32146 4.06702i −0.0506755 0.155963i
\(681\) −0.967422 + 3.14999i −0.0370717 + 0.120708i
\(682\) 8.82570 0.629984i 0.337953 0.0241233i
\(683\) 4.90180i 0.187562i 0.995593 + 0.0937811i \(0.0298954\pi\)
−0.995593 + 0.0937811i \(0.970105\pi\)
\(684\) −0.488490 + 1.68738i −0.0186779 + 0.0645188i
\(685\) −7.27594 + 6.55129i −0.277999 + 0.250312i
\(686\) 1.92856 + 2.65443i 0.0736326 + 0.101347i
\(687\) 35.2984 8.10208i 1.34672 0.309114i
\(688\) −0.837418 0.483483i −0.0319263 0.0184326i
\(689\) −10.7359 + 1.12838i −0.409004 + 0.0429880i
\(690\) −9.60492 12.7799i −0.365653 0.486522i
\(691\) −1.20449 + 11.4599i −0.0458208 + 0.435956i 0.947429 + 0.319965i \(0.103671\pi\)
−0.993250 + 0.115991i \(0.962996\pi\)
\(692\) 15.7647 + 14.1946i 0.599285 + 0.539599i
\(693\) 0.592024 + 0.952812i 0.0224891 + 0.0361943i
\(694\) −0.832141 + 3.91491i −0.0315876 + 0.148608i
\(695\) −1.55759 + 0.331076i −0.0590828 + 0.0125584i
\(696\) 0.371432 + 3.05715i 0.0140791 + 0.115881i
\(697\) −30.3011 9.84544i −1.14774 0.372922i
\(698\) −16.2249 5.27180i −0.614123 0.199541i
\(699\) −2.04318 16.8168i −0.0772801 0.636071i
\(700\) 0.230150 0.0489199i 0.00869885 0.00184900i
\(701\) 3.35523 15.7851i 0.126725 0.596196i −0.868254 0.496119i \(-0.834758\pi\)
0.994980 0.100077i \(-0.0319088\pi\)
\(702\) −7.72382 29.2712i −0.291517 1.10477i
\(703\) 0.419108 + 0.377366i 0.0158069 + 0.0142326i
\(704\) −0.166114 + 1.58047i −0.00626066 + 0.0595662i
\(705\) −8.55219 11.3792i −0.322094 0.428564i
\(706\) −13.0243 + 1.36890i −0.490174 + 0.0515194i
\(707\) 2.07364 + 1.19722i 0.0779872 + 0.0450259i
\(708\) 6.55389 1.50432i 0.246310 0.0565360i
\(709\) −2.19797 3.02524i −0.0825464 0.113615i 0.765747 0.643142i \(-0.222370\pi\)
−0.848293 + 0.529527i \(0.822370\pi\)
\(710\) −10.3971 + 9.36159i −0.390196 + 0.351334i
\(711\) 36.5671 + 10.5860i 1.37137 + 0.397006i
\(712\) 18.3201i 0.686576i
\(713\) 46.2221 + 22.4613i 1.73103 + 0.841183i
\(714\) −0.511649 + 1.66596i −0.0191480 + 0.0623470i
\(715\) −2.86107 8.80548i −0.106998 0.329306i
\(716\) −1.92016 2.13255i −0.0717597 0.0796973i
\(717\) 17.2208 5.90516i 0.643123 0.220532i
\(718\) −11.7610 20.3706i −0.438916 0.760224i
\(719\) 13.0738 22.6444i 0.487570 0.844495i −0.512328 0.858790i \(-0.671217\pi\)
0.999898 + 0.0142945i \(0.00455024\pi\)
\(720\) −2.64526 1.41514i −0.0985830 0.0527390i
\(721\) 1.94100 + 1.41022i 0.0722867 + 0.0525194i
\(722\) −18.5549 1.95020i −0.690543 0.0725789i
\(723\) 13.9069 + 23.2117i 0.517204 + 0.863253i
\(724\) 3.53198 7.93296i 0.131265 0.294826i
\(725\) −1.73917 0.369672i −0.0645912 0.0137293i
\(726\) −1.29786 + 14.6208i −0.0481681 + 0.542629i
\(727\) −25.5520 + 11.3765i −0.947671 + 0.421931i −0.821583 0.570089i \(-0.806909\pi\)
−0.126088 + 0.992019i \(0.540242\pi\)
\(728\) 0.423607 1.30373i 0.0156999 0.0483194i
\(729\) 23.2792 + 13.6777i 0.862192 + 0.506582i
\(730\) −6.83385 15.3491i −0.252932 0.568095i
\(731\) 0.859727 + 4.04470i 0.0317982 + 0.149599i
\(732\) −4.66468 + 8.39017i −0.172412 + 0.310110i
\(733\) 44.4161 + 19.7753i 1.64054 + 0.730418i 0.999318 0.0369334i \(-0.0117589\pi\)
0.641227 + 0.767351i \(0.278426\pi\)
\(734\) 12.3948 13.7658i 0.457500 0.508106i
\(735\) 11.0663 + 4.71395i 0.408186 + 0.173877i
\(736\) −5.42527 + 7.46724i −0.199978 + 0.275246i
\(737\) −0.945231 8.99327i −0.0348180 0.331271i
\(738\) −20.1141 + 9.74714i −0.740409 + 0.358797i
\(739\) 15.3823 8.88098i 0.565847 0.326692i −0.189642 0.981853i \(-0.560733\pi\)
0.755489 + 0.655161i \(0.227399\pi\)
\(740\) −0.779186 + 0.566111i −0.0286434 + 0.0208107i
\(741\) −5.35842 + 2.49040i −0.196846 + 0.0914870i
\(742\) 0.414630 0.134721i 0.0152215 0.00494578i
\(743\) −46.6306 −1.71071 −0.855356 0.518040i \(-0.826662\pi\)
−0.855356 + 0.518040i \(0.826662\pi\)
\(744\) 9.64221 + 0.166598i 0.353501 + 0.00610778i
\(745\) −16.7938 −0.615275
\(746\) −3.56127 + 1.15713i −0.130387 + 0.0423654i
\(747\) 6.28290 + 45.5439i 0.229879 + 1.66637i
\(748\) 5.49794 3.99449i 0.201024 0.146053i
\(749\) 3.78888 2.18751i 0.138443 0.0799299i
\(750\) 1.26824 1.17965i 0.0463096 0.0430746i
\(751\) −2.34540 22.3150i −0.0855849 0.814286i −0.950156 0.311775i \(-0.899076\pi\)
0.864571 0.502511i \(-0.167590\pi\)
\(752\) −4.83064 + 6.64881i −0.176155 + 0.242457i
\(753\) 8.18940 19.2251i 0.298438 0.700603i
\(754\) −6.93144 + 7.69815i −0.252428 + 0.280350i
\(755\) 6.68654 + 2.97704i 0.243348 + 0.108346i
\(756\) 0.550901 + 1.09146i 0.0200361 + 0.0396960i
\(757\) −0.327100 1.53889i −0.0118887 0.0559318i 0.971803 0.235793i \(-0.0757686\pi\)
−0.983692 + 0.179861i \(0.942435\pi\)
\(758\) −1.02260 2.29680i −0.0371426 0.0834235i
\(759\) 14.5987 20.7928i 0.529898 0.754731i
\(760\) −0.180947 + 0.556897i −0.00656364 + 0.0202008i
\(761\) 41.7285 18.5787i 1.51266 0.673478i 0.528202 0.849119i \(-0.322866\pi\)
0.984454 + 0.175641i \(0.0561998\pi\)
\(762\) −23.5048 2.08648i −0.851491 0.0755852i
\(763\) −2.69033 0.571848i −0.0973965 0.0207023i
\(764\) 5.93724 13.3353i 0.214802 0.482453i
\(765\) 3.07199 + 12.4557i 0.111068 + 0.450338i
\(766\) −5.03836 0.529553i −0.182043 0.0191335i
\(767\) 18.2987 + 13.2948i 0.660728 + 0.480047i
\(768\) −0.332649 + 1.69981i −0.0120034 + 0.0613365i
\(769\) 25.3988 43.9920i 0.915905 1.58639i 0.110333 0.993895i \(-0.464808\pi\)
0.805571 0.592499i \(-0.201859\pi\)
\(770\) 0.186960 + 0.323824i 0.00673756 + 0.0116698i
\(771\) 1.08167 + 3.15441i 0.0389555 + 0.113603i
\(772\) −13.8071 15.3344i −0.496929 0.551896i
\(773\) 2.16622 +