Properties

Label 168.2.ba.c.101.17
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.17
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.968446 - 1.03059i) q^{2} +(-1.70874 + 0.283220i) q^{3} +(-0.124224 - 1.99614i) q^{4} +(2.24840 - 1.29811i) q^{5} +(-1.36294 + 2.03529i) q^{6} +(-2.53678 - 0.751482i) q^{7} +(-2.17750 - 1.80513i) q^{8} +(2.83957 - 0.967897i) q^{9} +O(q^{10})\) \(q+(0.968446 - 1.03059i) q^{2} +(-1.70874 + 0.283220i) q^{3} +(-0.124224 - 1.99614i) q^{4} +(2.24840 - 1.29811i) q^{5} +(-1.36294 + 2.03529i) q^{6} +(-2.53678 - 0.751482i) q^{7} +(-2.17750 - 1.80513i) q^{8} +(2.83957 - 0.967897i) q^{9} +(0.839632 - 3.57432i) q^{10} +(1.63808 - 2.83724i) q^{11} +(0.777612 + 3.37570i) q^{12} +0.912635 q^{13} +(-3.23121 + 1.88661i) q^{14} +(-3.47427 + 2.85492i) q^{15} +(-3.96914 + 0.495937i) q^{16} +(-2.39448 + 4.14736i) q^{17} +(1.75247 - 3.86379i) q^{18} +(2.66693 + 4.61926i) q^{19} +(-2.87052 - 4.32685i) q^{20} +(4.54754 + 0.565618i) q^{21} +(-1.33763 - 4.43590i) q^{22} +(4.45569 - 2.57249i) q^{23} +(4.23203 + 2.46778i) q^{24} +(0.870190 - 1.50721i) q^{25} +(0.883838 - 0.940551i) q^{26} +(-4.57796 + 2.45811i) q^{27} +(-1.18493 + 5.15712i) q^{28} +1.35950 q^{29} +(-0.422391 + 6.34538i) q^{30} +(8.18469 + 4.72543i) q^{31} +(-3.33279 + 4.57083i) q^{32} +(-1.99549 + 5.31204i) q^{33} +(1.95529 + 6.48421i) q^{34} +(-6.67920 + 1.60340i) q^{35} +(-2.28480 - 5.54794i) q^{36} +(1.59746 - 0.922292i) q^{37} +(7.34333 + 1.72500i) q^{38} +(-1.55945 + 0.258476i) q^{39} +(-7.23914 - 1.23200i) q^{40} -5.91833 q^{41} +(4.98696 - 4.13887i) q^{42} +8.00125i q^{43} +(-5.86701 - 2.91738i) q^{44} +(5.12805 - 5.86230i) q^{45} +(1.66391 - 7.08330i) q^{46} +(-3.29243 - 5.70266i) q^{47} +(6.64176 - 1.97156i) q^{48} +(5.87055 + 3.81269i) q^{49} +(-0.710584 - 2.35646i) q^{50} +(2.91692 - 7.76491i) q^{51} +(-0.113371 - 1.82175i) q^{52} +(0.841712 - 1.45789i) q^{53} +(-1.90021 + 7.09853i) q^{54} -8.50565i q^{55} +(4.16733 + 6.21557i) q^{56} +(-5.86535 - 7.13777i) q^{57} +(1.31661 - 1.40109i) q^{58} +(1.50266 + 0.867561i) q^{59} +(6.13041 + 6.58047i) q^{60} +(-4.72347 - 8.18130i) q^{61} +(12.7964 - 3.85872i) q^{62} +(-7.93074 + 0.321460i) q^{63} +(1.48302 + 7.86134i) q^{64} +(2.05197 - 1.18470i) q^{65} +(3.54200 + 7.20095i) q^{66} +(-10.8634 - 6.27198i) q^{67} +(8.57615 + 4.26451i) q^{68} +(-6.88502 + 5.65766i) q^{69} +(-4.81600 + 8.43632i) q^{70} -0.603989i q^{71} +(-7.93035 - 3.01820i) q^{72} +(-1.29220 - 0.746053i) q^{73} +(0.596548 - 2.53951i) q^{74} +(-1.06005 + 2.82189i) q^{75} +(8.88938 - 5.89738i) q^{76} +(-6.28759 + 5.96647i) q^{77} +(-1.24387 + 1.85748i) q^{78} +(-0.0625152 - 0.108280i) q^{79} +(-8.28041 + 6.26745i) q^{80} +(7.12635 - 5.49683i) q^{81} +(-5.73158 + 6.09936i) q^{82} -0.246431i q^{83} +(0.564138 - 9.14777i) q^{84} +12.4332i q^{85} +(8.24600 + 7.74878i) q^{86} +(-2.32303 + 0.385038i) q^{87} +(-8.68850 + 3.22114i) q^{88} +(-1.80671 - 3.12931i) q^{89} +(-1.07538 - 10.9622i) q^{90} +(-2.31516 - 0.685829i) q^{91} +(-5.68856 - 8.57461i) q^{92} +(-15.3238 - 5.75646i) q^{93} +(-9.06563 - 2.12958i) q^{94} +(11.9926 + 6.92395i) q^{95} +(4.40031 - 8.75427i) q^{96} -5.10324i q^{97} +(9.61463 - 2.35773i) q^{98} +(1.90529 - 9.64204i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.968446 1.03059i 0.684795 0.728736i
\(3\) −1.70874 + 0.283220i −0.986541 + 0.163517i
\(4\) −0.124224 1.99614i −0.0621120 0.998069i
\(5\) 2.24840 1.29811i 1.00551 0.580533i 0.0956384 0.995416i \(-0.469511\pi\)
0.909875 + 0.414883i \(0.136177\pi\)
\(6\) −1.36294 + 2.03529i −0.556417 + 0.830903i
\(7\) −2.53678 0.751482i −0.958814 0.284033i
\(8\) −2.17750 1.80513i −0.769863 0.638209i
\(9\) 2.83957 0.967897i 0.946524 0.322632i
\(10\) 0.839632 3.57432i 0.265515 1.13030i
\(11\) 1.63808 2.83724i 0.493900 0.855460i −0.506075 0.862489i \(-0.668904\pi\)
0.999975 + 0.00702958i \(0.00223760\pi\)
\(12\) 0.777612 + 3.37570i 0.224477 + 0.974479i
\(13\) 0.912635 0.253119 0.126560 0.991959i \(-0.459606\pi\)
0.126560 + 0.991959i \(0.459606\pi\)
\(14\) −3.23121 + 1.88661i −0.863577 + 0.504218i
\(15\) −3.47427 + 2.85492i −0.897052 + 0.737138i
\(16\) −3.96914 + 0.495937i −0.992284 + 0.123984i
\(17\) −2.39448 + 4.14736i −0.580746 + 1.00588i 0.414645 + 0.909983i \(0.363906\pi\)
−0.995391 + 0.0958985i \(0.969428\pi\)
\(18\) 1.75247 3.86379i 0.413061 0.910703i
\(19\) 2.66693 + 4.61926i 0.611836 + 1.05973i 0.990931 + 0.134373i \(0.0429019\pi\)
−0.379095 + 0.925358i \(0.623765\pi\)
\(20\) −2.87052 4.32685i −0.641867 0.967514i
\(21\) 4.54754 + 0.565618i 0.992354 + 0.123428i
\(22\) −1.33763 4.43590i −0.285184 0.945737i
\(23\) 4.45569 2.57249i 0.929075 0.536402i 0.0425563 0.999094i \(-0.486450\pi\)
0.886519 + 0.462692i \(0.153116\pi\)
\(24\) 4.23203 + 2.46778i 0.863859 + 0.503734i
\(25\) 0.870190 1.50721i 0.174038 0.301443i
\(26\) 0.883838 0.940551i 0.173335 0.184457i
\(27\) −4.57796 + 2.45811i −0.881029 + 0.473063i
\(28\) −1.18493 + 5.15712i −0.223931 + 0.974605i
\(29\) 1.35950 0.252453 0.126227 0.992001i \(-0.459713\pi\)
0.126227 + 0.992001i \(0.459713\pi\)
\(30\) −0.422391 + 6.34538i −0.0771178 + 1.15850i
\(31\) 8.18469 + 4.72543i 1.47001 + 0.848713i 0.999434 0.0336443i \(-0.0107113\pi\)
0.470580 + 0.882357i \(0.344045\pi\)
\(32\) −3.33279 + 4.57083i −0.589159 + 0.808017i
\(33\) −1.99549 + 5.31204i −0.347370 + 0.924707i
\(34\) 1.95529 + 6.48421i 0.335330 + 1.11203i
\(35\) −6.67920 + 1.60340i −1.12899 + 0.271024i
\(36\) −2.28480 5.54794i −0.380800 0.924657i
\(37\) 1.59746 0.922292i 0.262620 0.151624i −0.362909 0.931825i \(-0.618216\pi\)
0.625529 + 0.780201i \(0.284883\pi\)
\(38\) 7.34333 + 1.72500i 1.19125 + 0.279831i
\(39\) −1.55945 + 0.258476i −0.249713 + 0.0413894i
\(40\) −7.23914 1.23200i −1.14461 0.194797i
\(41\) −5.91833 −0.924288 −0.462144 0.886805i \(-0.652920\pi\)
−0.462144 + 0.886805i \(0.652920\pi\)
\(42\) 4.98696 4.13887i 0.769505 0.638641i
\(43\) 8.00125i 1.22018i 0.792332 + 0.610090i \(0.208867\pi\)
−0.792332 + 0.610090i \(0.791133\pi\)
\(44\) −5.86701 2.91738i −0.884485 0.439812i
\(45\) 5.12805 5.86230i 0.764444 0.873900i
\(46\) 1.66391 7.08330i 0.245331 1.04438i
\(47\) −3.29243 5.70266i −0.480250 0.831818i 0.519493 0.854475i \(-0.326121\pi\)
−0.999743 + 0.0226567i \(0.992788\pi\)
\(48\) 6.64176 1.97156i 0.958655 0.284571i
\(49\) 5.87055 + 3.81269i 0.838650 + 0.544671i
\(50\) −0.710584 2.35646i −0.100492 0.333254i
\(51\) 2.91692 7.76491i 0.408451 1.08730i
\(52\) −0.113371 1.82175i −0.0157218 0.252631i
\(53\) 0.841712 1.45789i 0.115618 0.200256i −0.802409 0.596775i \(-0.796448\pi\)
0.918027 + 0.396519i \(0.129782\pi\)
\(54\) −1.90021 + 7.09853i −0.258586 + 0.965988i
\(55\) 8.50565i 1.14690i
\(56\) 4.16733 + 6.21557i 0.556883 + 0.830591i
\(57\) −5.86535 7.13777i −0.776885 0.945421i
\(58\) 1.31661 1.40109i 0.172879 0.183972i
\(59\) 1.50266 + 0.867561i 0.195630 + 0.112947i 0.594615 0.804010i \(-0.297304\pi\)
−0.398986 + 0.916957i \(0.630638\pi\)
\(60\) 6.13041 + 6.58047i 0.791433 + 0.849535i
\(61\) −4.72347 8.18130i −0.604779 1.04751i −0.992086 0.125557i \(-0.959928\pi\)
0.387308 0.921951i \(-0.373405\pi\)
\(62\) 12.7964 3.85872i 1.62515 0.490058i
\(63\) −7.93074 + 0.321460i −0.999180 + 0.0405001i
\(64\) 1.48302 + 7.86134i 0.185378 + 0.982667i
\(65\) 2.05197 1.18470i 0.254515 0.146944i
\(66\) 3.54200 + 7.20095i 0.435990 + 0.886375i
\(67\) −10.8634 6.27198i −1.32717 0.766245i −0.342313 0.939586i \(-0.611210\pi\)
−0.984862 + 0.173341i \(0.944544\pi\)
\(68\) 8.57615 + 4.26451i 1.04001 + 0.517147i
\(69\) −6.88502 + 5.65766i −0.828860 + 0.681102i
\(70\) −4.81600 + 8.43632i −0.575622 + 1.00833i
\(71\) 0.603989i 0.0716803i −0.999358 0.0358401i \(-0.988589\pi\)
0.999358 0.0358401i \(-0.0114107\pi\)
\(72\) −7.93035 3.01820i −0.934601 0.355698i
\(73\) −1.29220 0.746053i −0.151241 0.0873189i 0.422470 0.906377i \(-0.361163\pi\)
−0.573711 + 0.819058i \(0.694497\pi\)
\(74\) 0.596548 2.53951i 0.0693473 0.295212i
\(75\) −1.06005 + 2.82189i −0.122404 + 0.325844i
\(76\) 8.88938 5.89738i 1.01968 0.676476i
\(77\) −6.28759 + 5.96647i −0.716537 + 0.679943i
\(78\) −1.24387 + 1.85748i −0.140840 + 0.210318i
\(79\) −0.0625152 0.108280i −0.00703351 0.0121824i 0.862487 0.506079i \(-0.168906\pi\)
−0.869521 + 0.493896i \(0.835572\pi\)
\(80\) −8.28041 + 6.26745i −0.925778 + 0.700722i
\(81\) 7.12635 5.49683i 0.791817 0.610759i
\(82\) −5.73158 + 6.09936i −0.632947 + 0.673562i
\(83\) 0.246431i 0.0270493i −0.999909 0.0135247i \(-0.995695\pi\)
0.999909 0.0135247i \(-0.00430516\pi\)
\(84\) 0.564138 9.14777i 0.0615525 0.998104i
\(85\) 12.4332i 1.34857i
\(86\) 8.24600 + 7.74878i 0.889189 + 0.835573i
\(87\) −2.32303 + 0.385038i −0.249055 + 0.0412804i
\(88\) −8.68850 + 3.22114i −0.926198 + 0.343375i
\(89\) −1.80671 3.12931i −0.191511 0.331706i 0.754241 0.656598i \(-0.228005\pi\)
−0.945751 + 0.324892i \(0.894672\pi\)
\(90\) −1.07538 10.9622i −0.113355 1.15552i
\(91\) −2.31516 0.685829i −0.242695 0.0718944i
\(92\) −5.68856 8.57461i −0.593073 0.893964i
\(93\) −15.3238 5.75646i −1.58901 0.596917i
\(94\) −9.06563 2.12958i −0.935049 0.219649i
\(95\) 11.9926 + 6.92395i 1.23042 + 0.710382i
\(96\) 4.40031 8.75427i 0.449105 0.893479i
\(97\) 5.10324i 0.518155i −0.965857 0.259078i \(-0.916581\pi\)
0.965857 0.259078i \(-0.0834185\pi\)
\(98\) 9.61463 2.35773i 0.971224 0.238167i
\(99\) 1.90529 9.64204i 0.191489 0.969061i
\(100\) −3.11670 1.54979i −0.311670 0.154979i
\(101\) −6.33114 3.65529i −0.629972 0.363715i 0.150769 0.988569i \(-0.451825\pi\)
−0.780741 + 0.624854i \(0.785158\pi\)
\(102\) −5.17754 10.5260i −0.512653 1.04223i
\(103\) 0.670566 0.387151i 0.0660728 0.0381472i −0.466600 0.884469i \(-0.654521\pi\)
0.532672 + 0.846321i \(0.321188\pi\)
\(104\) −1.98726 1.64742i −0.194867 0.161543i
\(105\) 10.9589 4.63148i 1.06948 0.451986i
\(106\) −0.687329 2.27934i −0.0667593 0.221389i
\(107\) 7.26435 + 12.5822i 0.702271 + 1.21637i 0.967667 + 0.252229i \(0.0811638\pi\)
−0.265397 + 0.964139i \(0.585503\pi\)
\(108\) 5.47541 + 8.83288i 0.526872 + 0.849945i
\(109\) 12.8015 + 7.39093i 1.22616 + 0.707923i 0.966224 0.257703i \(-0.0829658\pi\)
0.259934 + 0.965626i \(0.416299\pi\)
\(110\) −8.76582 8.23726i −0.835788 0.785392i
\(111\) −2.46842 + 2.02839i −0.234292 + 0.192526i
\(112\) 10.4415 + 1.72465i 0.986632 + 0.162964i
\(113\) 16.2708i 1.53063i 0.643657 + 0.765314i \(0.277416\pi\)
−0.643657 + 0.765314i \(0.722584\pi\)
\(114\) −13.0364 0.867790i −1.22097 0.0812759i
\(115\) 6.67877 11.5680i 0.622798 1.07872i
\(116\) −0.168883 2.71376i −0.0156804 0.251966i
\(117\) 2.59149 0.883337i 0.239584 0.0816646i
\(118\) 2.34934 0.708437i 0.216275 0.0652170i
\(119\) 9.19094 8.72154i 0.842532 0.799503i
\(120\) 12.7187 + 0.0549029i 1.16106 + 0.00501193i
\(121\) 0.133385 + 0.231029i 0.0121259 + 0.0210026i
\(122\) −13.0060 3.05519i −1.17751 0.276604i
\(123\) 10.1129 1.67619i 0.911847 0.151137i
\(124\) 8.41588 16.9248i 0.755769 1.51989i
\(125\) 8.46270i 0.756927i
\(126\) −7.34920 + 8.48465i −0.654719 + 0.755872i
\(127\) −1.59996 −0.141973 −0.0709867 0.997477i \(-0.522615\pi\)
−0.0709867 + 0.997477i \(0.522615\pi\)
\(128\) 9.53803 + 6.08490i 0.843051 + 0.537834i
\(129\) −2.26611 13.6720i −0.199520 1.20376i
\(130\) 0.766277 3.26205i 0.0672070 0.286101i
\(131\) −7.96684 + 4.59965i −0.696066 + 0.401874i −0.805880 0.592078i \(-0.798308\pi\)
0.109815 + 0.993952i \(0.464974\pi\)
\(132\) 10.8514 + 3.32339i 0.944497 + 0.289264i
\(133\) −3.29414 13.7222i −0.285638 1.18987i
\(134\) −16.9844 + 5.12161i −1.46723 + 0.442439i
\(135\) −7.10217 + 11.4695i −0.611257 + 0.987138i
\(136\) 12.7005 4.70853i 1.08906 0.403753i
\(137\) −2.43936 1.40836i −0.208408 0.120325i 0.392163 0.919896i \(-0.371727\pi\)
−0.600571 + 0.799571i \(0.705060\pi\)
\(138\) −0.837061 + 12.5748i −0.0712554 + 1.07043i
\(139\) −2.80505 −0.237921 −0.118960 0.992899i \(-0.537956\pi\)
−0.118960 + 0.992899i \(0.537956\pi\)
\(140\) 4.03033 + 13.1334i 0.340625 + 1.10998i
\(141\) 7.24101 + 8.81187i 0.609803 + 0.742093i
\(142\) −0.622464 0.584930i −0.0522360 0.0490863i
\(143\) 1.49497 2.58936i 0.125016 0.216533i
\(144\) −10.7906 + 5.24997i −0.899220 + 0.437497i
\(145\) 3.05670 1.76479i 0.253845 0.146558i
\(146\) −2.02030 + 0.609216i −0.167201 + 0.0504190i
\(147\) −11.1111 4.85224i −0.916425 0.400206i
\(148\) −2.03947 3.07417i −0.167643 0.252696i
\(149\) −8.67025 15.0173i −0.710295 1.23027i −0.964746 0.263181i \(-0.915228\pi\)
0.254451 0.967086i \(-0.418105\pi\)
\(150\) 1.88160 + 3.82533i 0.153632 + 0.312337i
\(151\) −6.41551 + 11.1120i −0.522087 + 0.904281i 0.477583 + 0.878587i \(0.341513\pi\)
−0.999670 + 0.0256942i \(0.991820\pi\)
\(152\) 2.53111 14.8726i 0.205300 1.20633i
\(153\) −2.78508 + 14.0943i −0.225160 + 1.13946i
\(154\) 0.0597859 + 12.2581i 0.00481769 + 0.987788i
\(155\) 24.5366 1.97082
\(156\) 0.709677 + 3.08078i 0.0568196 + 0.246660i
\(157\) −8.55356 + 14.8152i −0.682648 + 1.18238i 0.291521 + 0.956564i \(0.405839\pi\)
−0.974170 + 0.225817i \(0.927495\pi\)
\(158\) −0.172134 0.0404355i −0.0136943 0.00321687i
\(159\) −1.02536 + 2.72954i −0.0813165 + 0.216466i
\(160\) −1.55998 + 14.6034i −0.123327 + 1.15450i
\(161\) −13.2363 + 3.17749i −1.04317 + 0.250421i
\(162\) 1.23652 12.6677i 0.0971499 0.995270i
\(163\) 21.6390 12.4933i 1.69489 0.978547i 0.744436 0.667694i \(-0.232718\pi\)
0.950458 0.310853i \(-0.100615\pi\)
\(164\) 0.735199 + 11.8138i 0.0574094 + 0.922503i
\(165\) 2.40897 + 14.5339i 0.187538 + 1.13146i
\(166\) −0.253969 0.238655i −0.0197118 0.0185232i
\(167\) −9.89286 −0.765532 −0.382766 0.923845i \(-0.625028\pi\)
−0.382766 + 0.923845i \(0.625028\pi\)
\(168\) −8.88125 9.44052i −0.685203 0.728352i
\(169\) −12.1671 −0.935931
\(170\) 12.8135 + 12.0409i 0.982751 + 0.923494i
\(171\) 12.0439 + 10.5354i 0.921021 + 0.805662i
\(172\) 15.9716 0.993948i 1.21782 0.0757878i
\(173\) 13.3755 7.72235i 1.01692 0.587120i 0.103710 0.994608i \(-0.466929\pi\)
0.913211 + 0.407488i \(0.133595\pi\)
\(174\) −1.85292 + 2.76698i −0.140469 + 0.209764i
\(175\) −3.34013 + 3.16954i −0.252490 + 0.239595i
\(176\) −5.09467 + 12.0738i −0.384026 + 0.910095i
\(177\) −2.81336 1.05685i −0.211465 0.0794379i
\(178\) −4.97473 1.16860i −0.372871 0.0875899i
\(179\) 6.07462 10.5216i 0.454038 0.786418i −0.544594 0.838700i \(-0.683316\pi\)
0.998632 + 0.0522822i \(0.0166495\pi\)
\(180\) −12.3390 9.50805i −0.919694 0.708688i
\(181\) 1.41922 0.105489 0.0527447 0.998608i \(-0.483203\pi\)
0.0527447 + 0.998608i \(0.483203\pi\)
\(182\) −2.94891 + 1.72179i −0.218588 + 0.127627i
\(183\) 10.3883 + 12.6419i 0.767924 + 0.934517i
\(184\) −14.3459 2.44149i −1.05760 0.179989i
\(185\) 2.39448 4.14736i 0.176045 0.304920i
\(186\) −20.7728 + 10.2177i −1.52314 + 0.749201i
\(187\) 7.84469 + 13.5874i 0.573661 + 0.993610i
\(188\) −10.9743 + 7.28055i −0.800383 + 0.530989i
\(189\) 13.4605 2.79543i 0.979109 0.203338i
\(190\) 18.7500 5.65399i 1.36026 0.410184i
\(191\) −3.62414 + 2.09240i −0.262234 + 0.151401i −0.625353 0.780342i \(-0.715045\pi\)
0.363119 + 0.931743i \(0.381712\pi\)
\(192\) −4.76058 13.0129i −0.343565 0.939129i
\(193\) −13.1905 + 22.8467i −0.949476 + 1.64454i −0.202946 + 0.979190i \(0.565051\pi\)
−0.746531 + 0.665351i \(0.768282\pi\)
\(194\) −5.25933 4.94221i −0.377598 0.354830i
\(195\) −3.17074 + 2.60550i −0.227061 + 0.186584i
\(196\) 6.88140 12.1921i 0.491529 0.870861i
\(197\) −12.6908 −0.904184 −0.452092 0.891971i \(-0.649322\pi\)
−0.452092 + 0.891971i \(0.649322\pi\)
\(198\) −8.09180 11.3014i −0.575059 0.803153i
\(199\) 0.939591 + 0.542473i 0.0666058 + 0.0384549i 0.532933 0.846157i \(-0.321090\pi\)
−0.466327 + 0.884612i \(0.654423\pi\)
\(200\) −4.61555 + 1.71115i −0.326369 + 0.120997i
\(201\) 20.3390 + 7.64045i 1.43461 + 0.538916i
\(202\) −9.89847 + 2.98485i −0.696454 + 0.210014i
\(203\) −3.44876 1.02164i −0.242056 0.0717052i
\(204\) −15.8622 4.85799i −1.11058 0.340127i
\(205\) −13.3067 + 7.68265i −0.929384 + 0.536580i
\(206\) 0.250413 1.06601i 0.0174471 0.0742726i
\(207\) 10.1623 11.6174i 0.706332 0.807467i
\(208\) −3.62237 + 0.452609i −0.251166 + 0.0313828i
\(209\) 17.4746 1.20874
\(210\) 5.83995 15.7794i 0.402995 1.08889i
\(211\) 7.89074i 0.543221i −0.962407 0.271610i \(-0.912444\pi\)
0.962407 0.271610i \(-0.0875562\pi\)
\(212\) −3.01471 1.49907i −0.207051 0.102956i
\(213\) 0.171062 + 1.03206i 0.0117209 + 0.0707155i
\(214\) 20.0022 + 4.69865i 1.36732 + 0.321193i
\(215\) 10.3865 + 17.9900i 0.708355 + 1.22691i
\(216\) 14.4057 + 2.91128i 0.980184 + 0.198087i
\(217\) −17.2117 18.1381i −1.16841 1.23129i
\(218\) 20.0145 6.03532i 1.35556 0.408764i
\(219\) 2.41933 + 0.908832i 0.163483 + 0.0614132i
\(220\) −16.9785 + 1.05661i −1.14469 + 0.0712363i
\(221\) −2.18528 + 3.78502i −0.146998 + 0.254608i
\(222\) −0.300104 + 4.50831i −0.0201416 + 0.302578i
\(223\) 11.5392i 0.772720i −0.922348 0.386360i \(-0.873732\pi\)
0.922348 0.386360i \(-0.126268\pi\)
\(224\) 11.8895 9.09069i 0.794398 0.607397i
\(225\) 1.01214 5.12210i 0.0674760 0.341473i
\(226\) 16.7685 + 15.7574i 1.11542 + 1.04817i
\(227\) −13.4825 7.78410i −0.894862 0.516649i −0.0193323 0.999813i \(-0.506154\pi\)
−0.875530 + 0.483164i \(0.839487\pi\)
\(228\) −13.5194 + 12.5947i −0.895342 + 0.834107i
\(229\) −1.78238 3.08717i −0.117783 0.204006i 0.801106 0.598523i \(-0.204245\pi\)
−0.918889 + 0.394517i \(0.870912\pi\)
\(230\) −5.45378 18.0860i −0.359612 1.19256i
\(231\) 9.05402 11.9759i 0.595711 0.787957i
\(232\) −2.96032 2.45408i −0.194354 0.161118i
\(233\) 6.60666 3.81435i 0.432816 0.249887i −0.267729 0.963494i \(-0.586273\pi\)
0.700546 + 0.713607i \(0.252940\pi\)
\(234\) 1.59937 3.52623i 0.104554 0.230517i
\(235\) −14.8054 8.54789i −0.965796 0.557603i
\(236\) 1.54511 3.10729i 0.100578 0.202267i
\(237\) 0.137489 + 0.167316i 0.00893087 + 0.0108683i
\(238\) −0.0873926 17.9184i −0.00566482 1.16148i
\(239\) 13.2745i 0.858658i −0.903148 0.429329i \(-0.858750\pi\)
0.903148 0.429329i \(-0.141250\pi\)
\(240\) 12.3740 13.0546i 0.798737 0.842671i
\(241\) 9.92793 + 5.73189i 0.639514 + 0.369224i 0.784427 0.620221i \(-0.212957\pi\)
−0.144913 + 0.989444i \(0.546290\pi\)
\(242\) 0.367272 + 0.0862745i 0.0236091 + 0.00554593i
\(243\) −10.6203 + 11.4110i −0.681290 + 0.732014i
\(244\) −15.7442 + 10.4450i −1.00792 + 0.668674i
\(245\) 18.1486 + 0.951816i 1.15947 + 0.0608093i
\(246\) 8.06631 12.0455i 0.514289 0.767994i
\(247\) 2.43393 + 4.21570i 0.154867 + 0.268238i
\(248\) −9.29216 25.0641i −0.590053 1.59157i
\(249\) 0.0697941 + 0.421086i 0.00442302 + 0.0266852i
\(250\) 8.72156 + 8.19567i 0.551600 + 0.518340i
\(251\) 1.44903i 0.0914619i 0.998954 + 0.0457309i \(0.0145617\pi\)
−0.998954 + 0.0457309i \(0.985438\pi\)
\(252\) 1.62687 + 15.7909i 0.102483 + 0.994735i
\(253\) 16.8558i 1.05972i
\(254\) −1.54947 + 1.64890i −0.0972226 + 0.103461i
\(255\) −3.52133 21.2451i −0.220514 1.33042i
\(256\) 15.5081 3.93688i 0.969256 0.246055i
\(257\) −6.03418 10.4515i −0.376402 0.651948i 0.614134 0.789202i \(-0.289506\pi\)
−0.990536 + 0.137254i \(0.956172\pi\)
\(258\) −16.2849 10.9052i −1.01385 0.678929i
\(259\) −4.74549 + 1.13920i −0.294870 + 0.0707862i
\(260\) −2.61973 3.94884i −0.162469 0.244897i
\(261\) 3.86041 1.31586i 0.238953 0.0814496i
\(262\) −2.97510 + 12.6650i −0.183802 + 0.782449i
\(263\) −21.7325 12.5473i −1.34008 0.773697i −0.353264 0.935524i \(-0.614928\pi\)
−0.986819 + 0.161827i \(0.948261\pi\)
\(264\) 13.9341 7.96485i 0.857584 0.490203i
\(265\) 4.37055i 0.268480i
\(266\) −17.3321 9.89432i −1.06270 0.606660i
\(267\) 3.97347 + 4.83547i 0.243172 + 0.295926i
\(268\) −11.1703 + 22.4640i −0.682332 + 1.37221i
\(269\) −6.61826 3.82105i −0.403522 0.232974i 0.284480 0.958682i \(-0.408179\pi\)
−0.688003 + 0.725708i \(0.741512\pi\)
\(270\) 4.94227 + 18.4270i 0.300777 + 1.12143i
\(271\) −9.27850 + 5.35694i −0.563629 + 0.325411i −0.754601 0.656184i \(-0.772169\pi\)
0.190972 + 0.981595i \(0.438836\pi\)
\(272\) 7.44718 17.6489i 0.451552 1.07012i
\(273\) 4.15024 + 0.516203i 0.251184 + 0.0312420i
\(274\) −3.81383 + 1.15005i −0.230402 + 0.0694769i
\(275\) −2.85088 4.93787i −0.171915 0.297765i
\(276\) 12.1488 + 13.0406i 0.731269 + 0.784955i
\(277\) −3.08910 1.78349i −0.185606 0.107160i 0.404318 0.914618i \(-0.367509\pi\)
−0.589924 + 0.807459i \(0.700842\pi\)
\(278\) −2.71654 + 2.89085i −0.162927 + 0.173382i
\(279\) 27.8148 + 5.49627i 1.66523 + 0.329053i
\(280\) 17.4383 + 8.56541i 1.04214 + 0.511881i
\(281\) 4.26336i 0.254331i 0.991882 + 0.127165i \(0.0405879\pi\)
−0.991882 + 0.127165i \(0.959412\pi\)
\(282\) 16.0939 + 1.07132i 0.958380 + 0.0637962i
\(283\) −11.3202 + 19.6072i −0.672918 + 1.16553i 0.304154 + 0.952623i \(0.401626\pi\)
−0.977073 + 0.212906i \(0.931707\pi\)
\(284\) −1.20564 + 0.0750299i −0.0715419 + 0.00445221i
\(285\) −22.4533 8.43466i −1.33002 0.499626i
\(286\) −1.22077 4.04836i −0.0721856 0.239384i
\(287\) 15.0135 + 4.44752i 0.886220 + 0.262529i
\(288\) −5.03960 + 16.2050i −0.296961 + 0.954890i
\(289\) −2.96705 5.13907i −0.174532 0.302298i
\(290\) 1.14148 4.85930i 0.0670301 0.285348i
\(291\) 1.44534 + 8.72009i 0.0847272 + 0.511181i
\(292\) −1.32870 + 2.67209i −0.0777564 + 0.156372i
\(293\) 5.96057i 0.348220i 0.984726 + 0.174110i \(0.0557049\pi\)
−0.984726 + 0.174110i \(0.944295\pi\)
\(294\) −15.7611 + 6.75180i −0.919208 + 0.393773i
\(295\) 4.50477 0.262278
\(296\) −5.14332 0.875323i −0.298949 0.0508771i
\(297\) −0.524829 + 17.0153i −0.0304537 + 0.987330i
\(298\) −23.8733 5.60801i −1.38295 0.324863i
\(299\) 4.06642 2.34775i 0.235167 0.135774i
\(300\) 5.76456 + 1.76547i 0.332817 + 0.101929i
\(301\) 6.01280 20.2975i 0.346572 1.16993i
\(302\) 5.23881 + 17.3731i 0.301460 + 0.999710i
\(303\) 11.8535 + 4.45282i 0.680967 + 0.255808i
\(304\) −12.8763 17.0118i −0.738505 0.975696i
\(305\) −21.2405 12.2632i −1.21623 0.702189i
\(306\) 11.8283 + 16.5199i 0.676176 + 0.944378i
\(307\) −5.42113 −0.309400 −0.154700 0.987961i \(-0.549441\pi\)
−0.154700 + 0.987961i \(0.549441\pi\)
\(308\) 12.6910 + 11.8097i 0.723136 + 0.672921i
\(309\) −1.03617 + 0.851458i −0.0589458 + 0.0484378i
\(310\) 23.7623 25.2871i 1.34961 1.43621i
\(311\) −12.1809 + 21.0979i −0.690714 + 1.19635i 0.280890 + 0.959740i \(0.409370\pi\)
−0.971604 + 0.236612i \(0.923963\pi\)
\(312\) 3.86230 + 2.25218i 0.218660 + 0.127505i
\(313\) 14.1392 8.16327i 0.799195 0.461415i −0.0439948 0.999032i \(-0.514009\pi\)
0.843189 + 0.537617i \(0.180675\pi\)
\(314\) 6.98471 + 23.1629i 0.394170 + 1.30716i
\(315\) −17.4142 + 11.0178i −0.981177 + 0.620780i
\(316\) −0.208375 + 0.138240i −0.0117220 + 0.00777660i
\(317\) 9.94185 + 17.2198i 0.558390 + 0.967160i 0.997631 + 0.0687904i \(0.0219140\pi\)
−0.439241 + 0.898369i \(0.644753\pi\)
\(318\) 1.82002 + 3.70014i 0.102062 + 0.207493i
\(319\) 2.22697 3.85723i 0.124687 0.215964i
\(320\) 13.5393 + 15.7503i 0.756871 + 0.880467i
\(321\) −15.9764 19.4423i −0.891716 1.08516i
\(322\) −9.54396 + 16.7184i −0.531864 + 0.931680i
\(323\) −25.5436 −1.42128
\(324\) −11.8577 13.5423i −0.658761 0.752352i
\(325\) 0.794166 1.37554i 0.0440524 0.0763010i
\(326\) 8.08076 34.3999i 0.447552 1.90523i
\(327\) −23.9676 9.00354i −1.32541 0.497897i
\(328\) 12.8872 + 10.6833i 0.711575 + 0.589889i
\(329\) 4.06674 + 16.9406i 0.224207 + 0.933966i
\(330\) 17.3114 + 11.5927i 0.952964 + 0.638156i
\(331\) −1.90300 + 1.09870i −0.104599 + 0.0603900i −0.551387 0.834250i \(-0.685901\pi\)
0.446788 + 0.894640i \(0.352568\pi\)
\(332\) −0.491910 + 0.0306126i −0.0269971 + 0.00168009i
\(333\) 3.64341 4.16509i 0.199658 0.228246i
\(334\) −9.58070 + 10.1955i −0.524233 + 0.557871i
\(335\) −32.5669 −1.77932
\(336\) −18.3303 + 0.0102748i −1.00000 + 0.000560538i
\(337\) 29.4138 1.60227 0.801135 0.598484i \(-0.204230\pi\)
0.801135 + 0.598484i \(0.204230\pi\)
\(338\) −11.7832 + 12.5393i −0.640920 + 0.682046i
\(339\) −4.60822 27.8026i −0.250284 1.51003i
\(340\) 24.8184 1.54450i 1.34597 0.0837624i
\(341\) 26.8144 15.4813i 1.45208 0.838358i
\(342\) 22.5215 2.20934i 1.21783 0.119467i
\(343\) −12.0271 14.0836i −0.649405 0.760443i
\(344\) 14.4433 17.4227i 0.778730 0.939371i
\(345\) −8.13599 + 21.6582i −0.438027 + 1.16604i
\(346\) 4.99489 21.2633i 0.268527 1.14312i
\(347\) −6.43016 + 11.1374i −0.345189 + 0.597885i −0.985388 0.170324i \(-0.945518\pi\)
0.640199 + 0.768209i \(0.278852\pi\)
\(348\) 1.05717 + 4.58927i 0.0566701 + 0.246010i
\(349\) 30.0571 1.60892 0.804460 0.594006i \(-0.202455\pi\)
0.804460 + 0.594006i \(0.202455\pi\)
\(350\) 0.0317598 + 6.51183i 0.00169763 + 0.348072i
\(351\) −4.17801 + 2.24335i −0.223005 + 0.119741i
\(352\) 7.50917 + 16.9433i 0.400240 + 0.903081i
\(353\) 12.1069 20.9698i 0.644387 1.11611i −0.340056 0.940405i \(-0.610446\pi\)
0.984443 0.175705i \(-0.0562206\pi\)
\(354\) −3.81377 + 1.87592i −0.202700 + 0.0997038i
\(355\) −0.784045 1.35801i −0.0416128 0.0720755i
\(356\) −6.02209 + 3.99517i −0.319170 + 0.211744i
\(357\) −13.2348 + 17.5059i −0.700459 + 0.926510i
\(358\) −4.96044 16.4500i −0.262168 0.869409i
\(359\) 3.16884 1.82953i 0.167245 0.0965590i −0.414041 0.910258i \(-0.635883\pi\)
0.581286 + 0.813699i \(0.302550\pi\)
\(360\) −21.7485 + 3.50838i −1.14625 + 0.184908i
\(361\) −4.72503 + 8.18398i −0.248686 + 0.430736i
\(362\) 1.37443 1.46263i 0.0722387 0.0768740i
\(363\) −0.293351 0.356991i −0.0153970 0.0187372i
\(364\) −1.08141 + 4.70657i −0.0566813 + 0.246691i
\(365\) −3.87384 −0.202766
\(366\) 23.0891 + 1.53697i 1.20689 + 0.0803385i
\(367\) −15.1950 8.77283i −0.793172 0.457938i 0.0479063 0.998852i \(-0.484745\pi\)
−0.841078 + 0.540914i \(0.818078\pi\)
\(368\) −16.4094 + 12.4203i −0.855401 + 0.647454i
\(369\) −16.8055 + 5.72834i −0.874861 + 0.298205i
\(370\) −1.95529 6.48421i −0.101651 0.337098i
\(371\) −3.23082 + 3.06582i −0.167736 + 0.159169i
\(372\) −9.58711 + 31.3036i −0.497068 + 1.62302i
\(373\) 3.25687 1.88036i 0.168635 0.0973612i −0.413307 0.910592i \(-0.635626\pi\)
0.581942 + 0.813230i \(0.302293\pi\)
\(374\) 21.6002 + 5.07402i 1.11692 + 0.262372i
\(375\) −2.39681 14.4605i −0.123771 0.746739i
\(376\) −3.12476 + 18.3608i −0.161147 + 0.946886i
\(377\) 1.24073 0.0639008
\(378\) 10.1548 16.5795i 0.522309 0.852756i
\(379\) 12.2799i 0.630774i −0.948963 0.315387i \(-0.897866\pi\)
0.948963 0.315387i \(-0.102134\pi\)
\(380\) 12.3314 24.7991i 0.632587 1.27217i
\(381\) 2.73391 0.453140i 0.140062 0.0232151i
\(382\) −1.35338 + 5.76138i −0.0692452 + 0.294778i
\(383\) −3.77515 6.53874i −0.192901 0.334114i 0.753309 0.657666i \(-0.228456\pi\)
−0.946210 + 0.323552i \(0.895123\pi\)
\(384\) −18.0214 7.69614i −0.919649 0.392742i
\(385\) −6.39184 + 21.5770i −0.325758 + 1.09967i
\(386\) 10.7712 + 35.7198i 0.548240 + 1.81809i
\(387\) 7.74439 + 22.7201i 0.393670 + 1.15493i
\(388\) −10.1868 + 0.633944i −0.517155 + 0.0321837i
\(389\) −18.2949 + 31.6877i −0.927588 + 1.60663i −0.140244 + 0.990117i \(0.544789\pi\)
−0.787345 + 0.616513i \(0.788545\pi\)
\(390\) −0.385489 + 5.79102i −0.0195200 + 0.293240i
\(391\) 24.6391i 1.24605i
\(392\) −5.90072 18.8992i −0.298032 0.954556i
\(393\) 12.3105 10.1160i 0.620984 0.510283i
\(394\) −12.2904 + 13.0790i −0.619181 + 0.658911i
\(395\) −0.281118 0.162304i −0.0141446 0.00816638i
\(396\) −19.4835 2.60546i −0.979084 0.130929i
\(397\) −3.83449 6.64152i −0.192447 0.333329i 0.753613 0.657318i \(-0.228309\pi\)
−0.946061 + 0.323989i \(0.894976\pi\)
\(398\) 1.46901 0.442975i 0.0736348 0.0222043i
\(399\) 9.51522 + 22.5147i 0.476357 + 1.12714i
\(400\) −2.70642 + 6.41389i −0.135321 + 0.320695i
\(401\) 20.5062 11.8393i 1.02403 0.591224i 0.108761 0.994068i \(-0.465312\pi\)
0.915269 + 0.402844i \(0.131978\pi\)
\(402\) 27.5714 13.5618i 1.37514 0.676402i
\(403\) 7.46964 + 4.31260i 0.372089 + 0.214826i
\(404\) −6.50998 + 13.0919i −0.323884 + 0.651347i
\(405\) 8.88735 21.6099i 0.441616 1.07380i
\(406\) −4.39283 + 2.56485i −0.218013 + 0.127291i
\(407\) 6.04316i 0.299548i
\(408\) −20.3683 + 11.6427i −1.00838 + 0.576399i
\(409\) 13.5659 + 7.83230i 0.670793 + 0.387283i 0.796377 0.604800i \(-0.206747\pi\)
−0.125584 + 0.992083i \(0.540080\pi\)
\(410\) −4.96922 + 21.1540i −0.245412 + 1.04472i
\(411\) 4.56710 + 1.71565i 0.225278 + 0.0846267i
\(412\) −0.856108 1.29045i −0.0421774 0.0635759i
\(413\) −3.15997 3.33004i −0.155492 0.163860i
\(414\) −2.13110 21.7240i −0.104738 1.06768i
\(415\) −0.319895 0.554074i −0.0157030 0.0271984i
\(416\) −3.04162 + 4.17150i −0.149128 + 0.204525i
\(417\) 4.79309 0.794445i 0.234719 0.0389041i
\(418\) 16.9232 18.0091i 0.827740 0.880854i
\(419\) 35.4540i 1.73204i −0.500009 0.866020i \(-0.666670\pi\)
0.500009 0.866020i \(-0.333330\pi\)
\(420\) −10.6064 21.3001i −0.517541 1.03934i
\(421\) 8.00460i 0.390120i −0.980791 0.195060i \(-0.937510\pi\)
0.980791 0.195060i \(-0.0624902\pi\)
\(422\) −8.13210 7.64175i −0.395864 0.371995i
\(423\) −14.8687 13.0064i −0.722940 0.632392i
\(424\) −4.46450 + 1.65515i −0.216815 + 0.0803814i
\(425\) 4.16730 + 7.21798i 0.202144 + 0.350123i
\(426\) 1.22929 + 0.823199i 0.0595594 + 0.0398841i
\(427\) 5.83434 + 24.3038i 0.282343 + 1.17614i
\(428\) 24.2134 16.0637i 1.17040 0.776466i
\(429\) −1.82115 + 4.84795i −0.0879261 + 0.234061i
\(430\) 28.5991 + 6.71811i 1.37917 + 0.323976i
\(431\) 25.8583 + 14.9293i 1.24555 + 0.719118i 0.970219 0.242231i \(-0.0778793\pi\)
0.275331 + 0.961350i \(0.411213\pi\)
\(432\) 16.9515 12.0269i 0.815578 0.578646i
\(433\) 1.70747i 0.0820557i −0.999158 0.0410278i \(-0.986937\pi\)
0.999158 0.0410278i \(-0.0130632\pi\)
\(434\) −35.3615 + 0.172467i −1.69741 + 0.00827867i
\(435\) −4.72328 + 3.88128i −0.226464 + 0.186093i
\(436\) 13.1631 26.4716i 0.630397 1.26776i
\(437\) 23.7660 + 13.7213i 1.13688 + 0.656379i
\(438\) 3.27962 1.61318i 0.156706 0.0770807i
\(439\) 14.3026 8.25762i 0.682627 0.394115i −0.118217 0.992988i \(-0.537718\pi\)
0.800844 + 0.598873i \(0.204385\pi\)
\(440\) −15.3538 + 18.5211i −0.731963 + 0.882957i
\(441\) 20.3602 + 5.14433i 0.969531 + 0.244968i
\(442\) 1.78447 + 5.91772i 0.0848786 + 0.281477i
\(443\) 7.12265 + 12.3368i 0.338407 + 0.586138i 0.984133 0.177431i \(-0.0567785\pi\)
−0.645726 + 0.763569i \(0.723445\pi\)
\(444\) 4.35558 + 4.67534i 0.206707 + 0.221882i
\(445\) −8.12438 4.69062i −0.385133 0.222356i
\(446\) −11.8921 11.1751i −0.563109 0.529155i
\(447\) 19.0684 + 23.2051i 0.901904 + 1.09756i
\(448\) 2.14555 21.0570i 0.101368 0.994849i
\(449\) 2.18010i 0.102885i −0.998676 0.0514426i \(-0.983618\pi\)
0.998676 0.0514426i \(-0.0163819\pi\)
\(450\) −4.29857 6.00357i −0.202636 0.283011i
\(451\) −9.69470 + 16.7917i −0.456506 + 0.790691i
\(452\) 32.4788 2.02123i 1.52767 0.0950704i
\(453\) 7.81529 20.8045i 0.367194 0.977480i
\(454\) −21.0792 + 6.35638i −0.989297 + 0.298320i
\(455\) −6.09568 + 1.46332i −0.285770 + 0.0686015i
\(456\) −0.112796 + 26.1302i −0.00528217 + 1.22366i
\(457\) −16.0855 27.8609i −0.752447 1.30328i −0.946633 0.322312i \(-0.895540\pi\)
0.194186 0.980965i \(-0.437793\pi\)
\(458\) −4.90773 1.15286i −0.229323 0.0538696i
\(459\) 0.767174 24.8723i 0.0358086 1.16094i
\(460\) −23.9209 11.8947i −1.11532 0.554594i
\(461\) 13.9258i 0.648588i −0.945956 0.324294i \(-0.894873\pi\)
0.945956 0.324294i \(-0.105127\pi\)
\(462\) −3.57390 20.9290i −0.166273 0.973705i
\(463\) 15.5838 0.724239 0.362120 0.932132i \(-0.382053\pi\)
0.362120 + 0.932132i \(0.382053\pi\)
\(464\) −5.39605 + 0.674227i −0.250505 + 0.0313002i
\(465\) −41.9266 + 6.94925i −1.94430 + 0.322264i
\(466\) 2.46716 10.5027i 0.114289 0.486530i
\(467\) −16.6230 + 9.59729i −0.769220 + 0.444110i −0.832596 0.553880i \(-0.813147\pi\)
0.0633760 + 0.997990i \(0.479813\pi\)
\(468\) −2.08519 5.06325i −0.0963879 0.234049i
\(469\) 22.8448 + 24.0743i 1.05488 + 1.11165i
\(470\) −23.1476 + 6.98008i −1.06772 + 0.321967i
\(471\) 10.4198 27.7378i 0.480121 1.27809i
\(472\) −1.70598 4.60161i −0.0785243 0.211806i
\(473\) 22.7015 + 13.1067i 1.04381 + 0.602647i
\(474\) 0.305584 + 0.0203418i 0.0140360 + 0.000934328i
\(475\) 9.28294 0.425931
\(476\) −18.5511 17.2630i −0.850290 0.791246i
\(477\) 0.979016 4.95447i 0.0448261 0.226850i
\(478\) −13.6806 12.8557i −0.625735 0.588004i
\(479\) −3.02090 + 5.23235i −0.138028 + 0.239072i −0.926750 0.375678i \(-0.877410\pi\)
0.788722 + 0.614750i \(0.210743\pi\)
\(480\) −1.47038 25.3952i −0.0671133 1.15913i
\(481\) 1.45790 0.841716i 0.0664743 0.0383790i
\(482\) 15.5219 4.68058i 0.707003 0.213195i
\(483\) 21.7174 9.17829i 0.988178 0.417626i
\(484\) 0.444596 0.294954i 0.0202089 0.0134070i
\(485\) −6.62457 11.4741i −0.300806 0.521012i
\(486\) 1.47487 + 21.9960i 0.0669013 + 0.997760i
\(487\) 11.1385 19.2925i 0.504735 0.874227i −0.495250 0.868751i \(-0.664923\pi\)
0.999985 0.00547672i \(-0.00174330\pi\)
\(488\) −4.48293 + 26.3413i −0.202933 + 1.19241i
\(489\) −33.4370 + 27.4763i −1.51207 + 1.24252i
\(490\) 18.5569 17.7820i 0.838315 0.803308i
\(491\) −4.63965 −0.209384 −0.104692 0.994505i \(-0.533386\pi\)
−0.104692 + 0.994505i \(0.533386\pi\)
\(492\) −4.60217 19.9785i −0.207482 0.900699i
\(493\) −3.25530 + 5.63834i −0.146611 + 0.253938i
\(494\) 6.70178 + 1.57429i 0.301527 + 0.0708308i
\(495\) −8.23260 24.1524i −0.370028 1.08557i
\(496\) −34.8297 14.6968i −1.56390 0.659906i
\(497\) −0.453886 + 1.53219i −0.0203596 + 0.0687281i
\(498\) 0.501558 + 0.335870i 0.0224754 + 0.0150507i
\(499\) −16.8940 + 9.75377i −0.756280 + 0.436639i −0.827959 0.560789i \(-0.810498\pi\)
0.0716782 + 0.997428i \(0.477165\pi\)
\(500\) 16.8927 1.05127i 0.755466 0.0470143i
\(501\) 16.9043 2.80185i 0.755229 0.125178i
\(502\) 1.49335 + 1.40331i 0.0666516 + 0.0626326i
\(503\) 33.9146 1.51218 0.756090 0.654468i \(-0.227107\pi\)
0.756090 + 0.654468i \(0.227107\pi\)
\(504\) 17.8495 + 13.6160i 0.795079 + 0.606506i
\(505\) −18.9799 −0.844594
\(506\) −17.3714 16.3239i −0.772252 0.725688i
\(507\) 20.7904 3.44596i 0.923333 0.153041i
\(508\) 0.198753 + 3.19374i 0.00881825 + 0.141699i
\(509\) −20.9128 + 12.0740i −0.926946 + 0.535172i −0.885844 0.463983i \(-0.846420\pi\)
−0.0411013 + 0.999155i \(0.513087\pi\)
\(510\) −25.3052 16.9457i −1.12053 0.750367i
\(511\) 2.71739 + 2.86364i 0.120210 + 0.126680i
\(512\) 10.9615 19.7951i 0.484432 0.874829i
\(513\) −23.5637 14.5912i −1.04036 0.644216i
\(514\) −16.6150 3.90297i −0.732856 0.172153i
\(515\) 1.00513 1.74094i 0.0442914 0.0767150i
\(516\) −27.0098 + 6.22187i −1.18904 + 0.273903i
\(517\) −21.5731 −0.948782
\(518\) −3.42171 + 5.99390i −0.150341 + 0.263357i
\(519\) −20.6681 + 16.9837i −0.907230 + 0.745501i
\(520\) −6.60670 1.12437i −0.289723 0.0493069i
\(521\) −2.98225 + 5.16541i −0.130655 + 0.226301i −0.923929 0.382564i \(-0.875041\pi\)
0.793274 + 0.608864i \(0.208375\pi\)
\(522\) 2.38249 5.25283i 0.104279 0.229910i
\(523\) 6.49701 + 11.2532i 0.284095 + 0.492066i 0.972389 0.233365i \(-0.0749737\pi\)
−0.688295 + 0.725431i \(0.741640\pi\)
\(524\) 10.1712 + 15.3315i 0.444332 + 0.669761i
\(525\) 4.80973 6.36191i 0.209914 0.277656i
\(526\) −33.9778 + 10.2459i −1.48150 + 0.446743i
\(527\) −39.1961 + 22.6299i −1.70741 + 0.985774i
\(528\) 5.28593 22.0738i 0.230041 0.960640i
\(529\) 1.73544 3.00587i 0.0754539 0.130690i
\(530\) −4.50423 4.23264i −0.195651 0.183854i
\(531\) 5.10662 + 1.00908i 0.221609 + 0.0437905i
\(532\) −26.9822 + 8.28018i −1.16983 + 0.358991i
\(533\) −5.40127 −0.233955
\(534\) 8.83147 + 0.587882i 0.382175 + 0.0254402i
\(535\) 32.6663 + 18.8599i 1.41229 + 0.815383i
\(536\) 12.3333 + 33.2671i 0.532718 + 1.43692i
\(537\) −7.40002 + 19.6990i −0.319335 + 0.850076i
\(538\) −10.3474 + 3.12022i −0.446106 + 0.134522i
\(539\) 20.4340 10.4107i 0.880153 0.448418i
\(540\) 23.7770 + 12.7521i 1.02320 + 0.548764i
\(541\) −18.7480 + 10.8242i −0.806039 + 0.465367i −0.845578 0.533851i \(-0.820744\pi\)
0.0395397 + 0.999218i \(0.487411\pi\)
\(542\) −3.46492 + 14.7502i −0.148831 + 0.633576i
\(543\) −2.42507 + 0.401950i −0.104070 + 0.0172493i
\(544\) −10.9766 24.7670i −0.470617 1.06188i
\(545\) 38.3770 1.64389
\(546\) 4.55128 3.77727i 0.194777 0.161652i
\(547\) 15.8930i 0.679536i −0.940509 0.339768i \(-0.889651\pi\)
0.940509 0.339768i \(-0.110349\pi\)
\(548\) −2.50826 + 5.04424i −0.107148 + 0.215479i
\(549\) −21.3313 18.6596i −0.910398 0.796370i
\(550\) −7.84984 1.84398i −0.334718 0.0786275i
\(551\) 3.62570 + 6.27989i 0.154460 + 0.267532i
\(552\) 25.2049 + 0.108802i 1.07279 + 0.00463093i
\(553\) 0.0772175 + 0.321661i 0.00328362 + 0.0136784i
\(554\) −4.82967 + 1.45637i −0.205193 + 0.0618753i
\(555\) −2.91692 + 7.76491i −0.123816 + 0.329602i
\(556\) 0.348454 + 5.59926i 0.0147778 + 0.237462i
\(557\) 20.3420 35.2334i 0.861919 1.49289i −0.00815471 0.999967i \(-0.502596\pi\)
0.870074 0.492921i \(-0.164071\pi\)
\(558\) 32.6015 23.3427i 1.38013 0.988176i
\(559\) 7.30223i 0.308851i
\(560\) 25.7155 9.67658i 1.08668 0.408910i
\(561\) −17.2528 20.9956i −0.728412 0.886433i
\(562\) 4.39377 + 4.12883i 0.185340 + 0.174164i
\(563\) 38.8739 + 22.4439i 1.63834 + 0.945896i 0.981405 + 0.191950i \(0.0614810\pi\)
0.656936 + 0.753947i \(0.271852\pi\)
\(564\) 16.6902 15.5487i 0.702784 0.654718i
\(565\) 21.1213 + 36.5832i 0.888581 + 1.53907i
\(566\) 9.24394 + 30.6550i 0.388552 + 1.28853i
\(567\) −22.2088 + 8.58895i −0.932681 + 0.360702i
\(568\) −1.09028 + 1.31519i −0.0457470 + 0.0551840i
\(569\) −12.8893 + 7.44164i −0.540347 + 0.311970i −0.745220 0.666819i \(-0.767655\pi\)
0.204872 + 0.978789i \(0.434322\pi\)
\(570\) −30.4374 + 14.9715i −1.27488 + 0.627089i
\(571\) 6.27344 + 3.62197i 0.262535 + 0.151575i 0.625490 0.780232i \(-0.284899\pi\)
−0.362955 + 0.931807i \(0.618232\pi\)
\(572\) −5.35444 2.66251i −0.223880 0.111325i
\(573\) 5.60010 4.60179i 0.233948 0.192243i
\(574\) 19.1233 11.1656i 0.798193 0.466042i
\(575\) 8.95423i 0.373417i
\(576\) 11.8201 + 20.8874i 0.492505 + 0.870310i
\(577\) 20.2309 + 11.6803i 0.842223 + 0.486258i 0.858019 0.513617i \(-0.171695\pi\)
−0.0157961 + 0.999875i \(0.505028\pi\)
\(578\) −8.16969 1.91911i −0.339814 0.0798246i
\(579\) 16.0686 42.7748i 0.667786 1.77766i
\(580\) −3.90247 5.88237i −0.162041 0.244252i
\(581\) −0.185188 + 0.625142i −0.00768291 + 0.0259353i
\(582\) 10.3866 + 6.95539i 0.430537 + 0.288310i
\(583\) −2.75758 4.77627i −0.114207 0.197813i
\(584\) 1.46705 + 3.95712i 0.0607069 + 0.163747i
\(585\) 4.68003 5.35014i 0.193496 0.221201i
\(586\) 6.14289 + 5.77249i 0.253761 + 0.238459i
\(587\) 8.33175i 0.343888i −0.985107 0.171944i \(-0.944995\pi\)
0.985107 0.171944i \(-0.0550048\pi\)
\(588\) −8.30548 + 22.7820i −0.342512 + 0.939513i
\(589\) 50.4096i 2.07709i
\(590\) 4.36262 4.64256i 0.179606 0.191131i
\(591\) 21.6853 3.59430i 0.892014 0.147850i
\(592\) −5.88313 + 4.45294i −0.241795 + 0.183015i
\(593\) −19.8845 34.4410i −0.816560 1.41432i −0.908202 0.418531i \(-0.862545\pi\)
0.0916424 0.995792i \(-0.470788\pi\)
\(594\) 17.0275 + 17.0193i 0.698648 + 0.698311i
\(595\) 9.34332 31.5403i 0.383039 1.29303i
\(596\) −28.8996 + 19.1725i −1.18377 + 0.785338i
\(597\) −1.75915 0.660834i −0.0719974 0.0270461i
\(598\) 1.51855 6.46447i 0.0620980 0.264352i
\(599\) −12.0202 6.93989i −0.491134 0.283556i 0.233911 0.972258i \(-0.424848\pi\)
−0.725045 + 0.688702i \(0.758181\pi\)
\(600\) 7.40214 4.23113i 0.302191 0.172735i
\(601\) 17.2223i 0.702512i −0.936279 0.351256i \(-0.885755\pi\)
0.936279 0.351256i \(-0.114245\pi\)
\(602\) −15.0952 25.8537i −0.615236 1.05372i
\(603\) −36.9180 7.29510i −1.50342 0.297080i
\(604\) 22.9780 + 11.4259i 0.934963 + 0.464912i
\(605\) 0.599803 + 0.346296i 0.0243855 + 0.0140790i
\(606\) 16.0685 7.90378i 0.652739 0.321069i
\(607\) 7.37230 4.25640i 0.299233 0.172762i −0.342865 0.939385i \(-0.611398\pi\)
0.642098 + 0.766622i \(0.278064\pi\)
\(608\) −30.0022 3.20492i −1.21675 0.129977i
\(609\) 6.18239 + 0.768959i 0.250523 + 0.0311598i
\(610\) −33.2086 + 10.0139i −1.34458 + 0.405453i
\(611\) −3.00479 5.20445i −0.121561 0.210549i
\(612\) 28.4802 + 3.80855i 1.15124 + 0.153951i
\(613\) −36.3973 21.0140i −1.47007 0.848747i −0.470637 0.882327i \(-0.655976\pi\)
−0.999436 + 0.0335801i \(0.989309\pi\)
\(614\) −5.25007 + 5.58695i −0.211876 + 0.225471i
\(615\) 20.5619 16.8964i 0.829134 0.681328i
\(616\) 24.4615 1.64209i 0.985581 0.0661619i
\(617\) 16.0083i 0.644471i −0.946660 0.322236i \(-0.895566\pi\)
0.946660 0.322236i \(-0.104434\pi\)
\(618\) −0.125975 + 1.89246i −0.00506745 + 0.0761259i
\(619\) 10.1543 17.5878i 0.408136 0.706913i −0.586545 0.809917i \(-0.699512\pi\)
0.994681 + 0.103004i \(0.0328455\pi\)
\(620\) −3.04803 48.9784i −0.122412 1.96702i
\(621\) −14.0745 + 22.7293i −0.564790 + 0.912096i
\(622\) 9.94672 + 32.9856i 0.398827 + 1.32260i
\(623\) 2.23161 + 9.29609i 0.0894075 + 0.372440i
\(624\) 6.06150 1.79932i 0.242654 0.0720304i
\(625\) 15.3365 + 26.5636i 0.613460 + 1.06254i
\(626\) 5.28008 22.4774i 0.211035 0.898377i
\(627\) −29.8595 + 4.94915i −1.19247 + 0.197650i
\(628\) 30.6357 + 15.2337i 1.22250 + 0.607890i
\(629\) 8.83363i 0.352220i
\(630\) −5.50990 + 28.6169i −0.219520 + 1.14013i
\(631\) −28.0435 −1.11639 −0.558197 0.829708i \(-0.688507\pi\)
−0.558197 + 0.829708i \(0.688507\pi\)
\(632\) −0.0593316 + 0.348627i −0.00236008 + 0.0138676i
\(633\) 2.23481 + 13.4832i 0.0888259 + 0.535909i
\(634\) 27.3747 + 6.43048i 1.08719 + 0.255387i
\(635\) −3.59734 + 2.07693i −0.142756 + 0.0824203i
\(636\) 5.57591 + 1.70769i 0.221099 + 0.0677144i
\(637\) 5.35767 + 3.47960i 0.212279 + 0.137867i
\(638\) −1.81851 6.03062i −0.0719957 0.238754i
\(639\) −0.584599 1.71507i −0.0231264 0.0678471i
\(640\) 29.3441 + 1.29984i 1.15993 + 0.0513805i
\(641\) 9.80778 + 5.66252i 0.387384 + 0.223656i 0.681026 0.732259i \(-0.261534\pi\)
−0.293642 + 0.955915i \(0.594867\pi\)
\(642\) −35.5093 2.36374i −1.40144 0.0932893i
\(643\) 32.8892 1.29702 0.648512 0.761204i \(-0.275392\pi\)
0.648512 + 0.761204i \(0.275392\pi\)
\(644\) 7.98698 + 26.0268i 0.314731 + 1.02560i
\(645\) −22.8430 27.7985i −0.899441 1.09457i
\(646\) −24.7376 + 26.3249i −0.973288 + 1.03574i
\(647\) −13.6188 + 23.5884i −0.535409 + 0.927356i 0.463734 + 0.885974i \(0.346509\pi\)
−0.999143 + 0.0413818i \(0.986824\pi\)
\(648\) −25.4401 0.894624i −0.999382 0.0351441i
\(649\) 4.92296 2.84227i 0.193243 0.111569i
\(650\) −0.648504 2.15059i −0.0254364 0.0843531i
\(651\) 34.5474 + 26.1185i 1.35402 + 1.02366i
\(652\) −27.6263 41.6424i −1.08193 1.63084i
\(653\) 12.2895 + 21.2860i 0.480926 + 0.832987i 0.999760 0.0218870i \(-0.00696741\pi\)
−0.518835 + 0.854874i \(0.673634\pi\)
\(654\) −32.4903 + 15.9813i −1.27047 + 0.624918i
\(655\) −11.9417 + 20.6837i −0.466602 + 0.808179i
\(656\) 23.4907 2.93512i 0.917156 0.114597i
\(657\) −4.39140 0.867753i −0.171325 0.0338543i
\(658\) 21.3972 + 12.2149i 0.834150 + 0.476188i
\(659\) 12.1725 0.474172 0.237086 0.971489i \(-0.423808\pi\)
0.237086 + 0.971489i \(0.423808\pi\)
\(660\) 28.7125 6.61410i 1.11763 0.257453i
\(661\) 4.00322 6.93378i 0.155707 0.269693i −0.777609 0.628748i \(-0.783568\pi\)
0.933316 + 0.359055i \(0.116901\pi\)
\(662\) −0.710650 + 3.02524i −0.0276202 + 0.117579i
\(663\) 2.66208 7.08653i 0.103387 0.275218i
\(664\) −0.444840 + 0.536604i −0.0172631 + 0.0208243i
\(665\) −25.2195 26.5768i −0.977970 1.03060i
\(666\) −0.764045 7.78852i −0.0296062 0.301799i
\(667\) 6.05752 3.49731i 0.234548 0.135416i
\(668\) 1.22893 + 19.7475i 0.0475487 + 0.764054i
\(669\) 3.26812 + 19.7174i 0.126353 + 0.762319i
\(670\) −31.5393 + 33.5631i −1.21847 + 1.29666i
\(671\) −30.9497 −1.19480
\(672\) −17.7413 + 18.9009i −0.684386 + 0.729120i
\(673\) 18.1260 0.698706 0.349353 0.936991i \(-0.386401\pi\)
0.349353 + 0.936991i \(0.386401\pi\)
\(674\) 28.4856 30.3135i 1.09723 1.16763i
\(675\) −0.278803 + 9.03898i −0.0107311 + 0.347910i
\(676\) 1.51145 + 24.2872i 0.0581325 + 0.934123i
\(677\) −39.1458 + 22.6008i −1.50449 + 0.868620i −0.504508 + 0.863407i \(0.668326\pi\)
−0.999986 + 0.00521277i \(0.998341\pi\)
\(678\) −33.1158 22.1761i −1.27180 0.851668i
\(679\) −3.83499 + 12.9458i −0.147173 + 0.496815i
\(680\) 22.4435 27.0733i 0.860670 1.03821i
\(681\) 25.2426 + 9.48249i 0.967298 + 0.363370i
\(682\) 10.0134 42.6274i 0.383435 1.63229i
\(683\) −6.38047 + 11.0513i −0.244142 + 0.422866i −0.961890 0.273437i \(-0.911840\pi\)
0.717748 + 0.696303i \(0.245173\pi\)
\(684\) 19.5340 25.3501i 0.746900 0.969284i
\(685\) −7.31285 −0.279410
\(686\) −26.1620 1.24417i −0.998871 0.0475025i
\(687\) 3.91996 + 4.77036i 0.149556 + 0.182000i
\(688\) −3.96811 31.7581i −0.151283 1.21077i
\(689\) 0.768176 1.33052i 0.0292652 0.0506888i
\(690\) 14.4414 + 29.3596i 0.549775 + 1.11770i
\(691\) −7.47003 12.9385i −0.284173 0.492203i 0.688235 0.725488i \(-0.258386\pi\)
−0.972408 + 0.233285i \(0.925052\pi\)
\(692\) −17.0764 25.7401i −0.649149 0.978490i
\(693\) −12.0791 + 23.0280i −0.458848 + 0.874761i
\(694\) 5.25077 + 17.4128i 0.199316 + 0.660980i
\(695\) −6.30686 + 3.64127i −0.239233 + 0.138121i
\(696\) 5.75345 + 3.35495i 0.218084 + 0.127169i
\(697\) 14.1713 24.5454i 0.536776 0.929724i
\(698\) 29.1087 30.9765i 1.10178 1.17248i
\(699\) −10.2087 + 8.38887i −0.386130 + 0.317296i
\(700\) 6.74177 + 6.27362i 0.254815 + 0.237121i
\(701\) −14.3141 −0.540636 −0.270318 0.962771i \(-0.587129\pi\)
−0.270318 + 0.962771i \(0.587129\pi\)
\(702\) −1.73420 + 6.47837i −0.0654531 + 0.244510i
\(703\) 8.52061 + 4.91938i 0.321361 + 0.185538i
\(704\) 24.7338 + 8.66982i 0.932190 + 0.326756i
\(705\) 27.7194 + 10.4129i 1.04397 + 0.392173i
\(706\) −9.88634 32.7854i −0.372077 1.23389i
\(707\) 13.3139 + 14.0304i 0.500719 + 0.527668i
\(708\) −1.76014 + 5.74715i −0.0661499 + 0.215991i
\(709\) 5.67964 3.27914i 0.213303 0.123151i −0.389542 0.921009i \(-0.627367\pi\)
0.602846 + 0.797858i \(0.294033\pi\)
\(710\) −2.15885 0.507128i −0.0810202 0.0190322i
\(711\) −0.282320 0.246959i −0.0105878 0.00926170i
\(712\) −1.71470 + 10.0754i −0.0642610 + 0.377592i
\(713\) 48.6246 1.82100
\(714\) 5.22418 + 30.5931i 0.195510 + 1.14492i
\(715\) 7.76255i 0.290303i
\(716\) −21.7571 10.8188i −0.813101 0.404316i
\(717\) 3.75961 + 22.6827i 0.140405 + 0.847100i
\(718\) 1.18336 5.03757i 0.0441626 0.188001i
\(719\) 19.5665 + 33.8902i 0.729708 + 1.26389i 0.957007 + 0.290066i \(0.0936772\pi\)
−0.227299 + 0.973825i \(0.572990\pi\)
\(720\) −17.4466 + 25.8115i −0.650196 + 0.961936i
\(721\) −1.99202 + 0.478202i −0.0741866 + 0.0178092i
\(722\) 3.85838 + 12.7953i 0.143594 + 0.476192i
\(723\) −18.5876 6.98252i −0.691281 0.259683i
\(724\) −0.176301 2.83295i −0.00655216 0.105286i
\(725\) 1.18303 2.04906i 0.0439365 0.0761002i
\(726\) −0.652006 0.0434019i −0.0241982 0.00161080i
\(727\) 34.4829i 1.27890i −0.768833 0.639450i \(-0.779162\pi\)
0.768833 0.639450i \(-0.220838\pi\)
\(728\) 3.80325 + 5.67255i 0.140958 + 0.210239i
\(729\) 14.9154 22.5062i 0.552423 0.833564i
\(730\) −3.75161 + 3.99234i −0.138853 + 0.147763i
\(731\) −33.1841 19.1588i −1.22736 0.708615i
\(732\) 23.9445 22.3069i 0.885015 0.824486i
\(733\) −9.89201 17.1335i −0.365370 0.632839i 0.623466 0.781851i \(-0.285724\pi\)
−0.988835 + 0.149012i \(0.952391\pi\)
\(734\) −23.7567 + 7.16376i −0.876876 + 0.264419i
\(735\) −31.2808 + 3.51365i −1.15381 + 0.129603i
\(736\) −3.09143 + 28.9398i −0.113952 + 1.06673i
\(737\) −35.5902 + 20.5480i −1.31098 + 0.756896i
\(738\) −10.3717 + 22.8672i −0.381787 + 0.841752i
\(739\) 6.03595 + 3.48486i 0.222036 + 0.128193i 0.606893 0.794784i \(-0.292416\pi\)
−0.384857 + 0.922976i \(0.625749\pi\)
\(740\) −8.57615 4.26451i −0.315266 0.156766i
\(741\) −5.35292 6.51418i −0.196645 0.239305i
\(742\) 0.0307204 + 6.29872i 0.00112778 + 0.231233i
\(743\) 45.3956i 1.66540i −0.553723 0.832701i \(-0.686793\pi\)
0.553723 0.832701i \(-0.313207\pi\)
\(744\) 22.9765 + 40.1962i 0.842360 + 1.47366i
\(745\) −38.9883 22.5099i −1.42842 0.824700i
\(746\) 1.21623 5.17752i 0.0445295 0.189562i
\(747\) −0.238520 0.699759i −0.00872698 0.0256028i
\(748\) 26.1478 17.3470i 0.956060 0.634268i
\(749\) −8.97277 37.3774i −0.327858 1.36574i
\(750\) −17.2240 11.5341i −0.628933 0.421167i
\(751\) −10.3669 17.9560i −0.378293 0.655223i 0.612521 0.790455i \(-0.290156\pi\)
−0.990814 + 0.135231i \(0.956822\pi\)
\(752\) 15.8963 + 21.0018i 0.579677 + 0.765857i
\(753\) −0.410394 2.47601i −0.0149556 0.0902309i
\(754\) 1.20158 1.27868i 0.0437590 0.0465668i
\(755\) 33.3122i 1.21236i
\(756\) −7.25219 26.5218i −0.263760 0.964588i
\(757\) 30.3555i 1.10329i −0.834079 0.551645i \(-0.814000\pi\)
0.834079 0.551645i \(-0.186000\pi\)
\(758\) −12.6555 11.8924i −0.459668 0.431951i
\(759\) 4.77390 + 28.8022i 0.173282 + 1.04545i
\(760\) −13.6153 36.7251i −0.493880 1.33216i
\(761\) −6.12394 10.6070i −0.221993 0.384503i 0.733420 0.679775i \(-0.237923\pi\)
−0.955413 + 0.295273i \(0.904589\pi\)
\(762\) 2.18064 3.25638i 0.0789964 0.117966i
\(763\) −26.9204 28.3693i −0.974585 1.02704i
\(764\) 4.62693 + 6.97436i 0.167396 + 0.252324i
\(765\) 12.0341 + 35.3050i 0.435092 + 1.27645i
\(766\) −10.3948 2.44180i −0.375579 0.0882259i
\(767\) 1.37138 + 0.791767i 0.0495177 + 0.0285890i
\(768\) −25.3843 + 11.1193i −0.915976 + 0.401233i
\(769\) 19.0816i 0.688100i 0.938951 + 0.344050i \(0.111799\pi\)
−0.938951 + 0.344050i \(0.888201\pi\)
\(770\) 16.0468 + 27.4835i 0.578288 + 0.990437i
\(771\) 13.2709 + 16.1499i 0.477940 + 0.581624i
\(772\) 47.2437 + 23.4920i 1.70034 + 0.845497i